id	sid	tid	token	lemma	pos
ejpam-7067	1	1	european	european	PROPN
ejpam-7067	1	2	journal	journal	PROPN
ejpam-7067	1	3	of	of	ADP
ejpam-7067	1	4	pure	pure	ADJ
ejpam-7067	1	5	and	and	CCONJ
ejpam-7067	1	6	applied	applied	ADJ
ejpam-7067	1	7	mathematics	mathematic	NOUN
ejpam-7067	1	8	2025	2025	NUM
ejpam-7067	1	9	,	,	PUNCT
ejpam-7067	1	10	vol	vol	NOUN
ejpam-7067	1	11	.	.	PROPN
ejpam-7067	1	12	18	18	NUM
ejpam-7067	1	13	,	,	PUNCT
ejpam-7067	1	14	issue	issue	NOUN
ejpam-7067	1	15	4	4	NUM
ejpam-7067	1	16	,	,	PUNCT
ejpam-7067	1	17	article	article	NOUN
ejpam-7067	1	18	number	number	NOUN
ejpam-7067	1	19	7067	7067	NUM
ejpam-7067	1	20	issn	issn	VERB
ejpam-7067	1	21	1307	1307	NUM
ejpam-7067	1	22	-	-	SYM
ejpam-7067	1	23	5543	5543	NUM
ejpam-7067	1	24	–	–	PUNCT
ejpam-7067	1	25	ejpam.com	ejpam.com	X
ejpam-7067	1	26	published	publish	VERB
ejpam-7067	1	27	by	by	ADP
ejpam-7067	1	28	new	new	PROPN
ejpam-7067	1	29	york	york	PROPN
ejpam-7067	1	30	business	business	PROPN
ejpam-7067	1	31	global	global	ADJ
ejpam-7067	1	32	threshold	threshold	NOUN
ejpam-7067	1	33	-	-	PUNCT
ejpam-7067	1	34	based	base	VERB
ejpam-7067	1	35	nonlinear	nonlinear	ADJ
ejpam-7067	1	36	protocols	protocol	NOUN
ejpam-7067	1	37	for	for	ADP
ejpam-7067	1	38	scaled	scale	VERB
ejpam-7067	1	39	edge	edge	NOUN
ejpam-7067	1	40	consensus	consensus	NOUN
ejpam-7067	1	41	under	under	ADP
ejpam-7067	1	42	input	input	NOUN
ejpam-7067	1	43	saturation	saturation	NOUN
ejpam-7067	1	44	constraints	constraint	NOUN
ejpam-7067	1	45	mana	mana	PROPN
ejpam-7067	1	46	donganont1	donganont1	PROPN
ejpam-7067	1	47	,	,	PUNCT
ejpam-7067	1	48	uamporn	uamporn	ADJ
ejpam-7067	1	49	witthayarat1	witthayarat1	NOUN
ejpam-7067	1	50	,	,	PUNCT
ejpam-7067	1	51	siriwan	siriwan	PROPN
ejpam-7067	1	52	intawichai1	intawichai1	PROPN
ejpam-7067	1	53	,	,	PUNCT
ejpam-7067	1	54	saranya	saranya	PROPN
ejpam-7067	1	55	phongchan1,∗	phongchan1,∗	NOUN
ejpam-7067	1	56	1	1	NUM
ejpam-7067	1	57	department	department	NOUN
ejpam-7067	1	58	of	of	ADP
ejpam-7067	1	59	mathematics	mathematic	NOUN
ejpam-7067	1	60	,	,	PUNCT
ejpam-7067	1	61	school	school	NOUN
ejpam-7067	1	62	of	of	ADP
ejpam-7067	1	63	science	science	NOUN
ejpam-7067	1	64	,	,	PUNCT
ejpam-7067	1	65	university	university	NOUN
ejpam-7067	1	66	of	of	ADP
ejpam-7067	1	67	phayao	phayao	NOUN
ejpam-7067	1	68	,	,	PUNCT
ejpam-7067	1	69	phayao,56000	phayao,56000	PROPN
ejpam-7067	1	70	,	,	PUNCT
ejpam-7067	1	71	thailand	thailand	PROPN
ejpam-7067	1	72	abstract	abstract	NOUN
ejpam-7067	1	73	.	.	PUNCT
ejpam-7067	2	1	scaled	scale	VERB
ejpam-7067	2	2	edge	edge	NOUN
ejpam-7067	2	3	consensus	consensus	NOUN
ejpam-7067	2	4	in	in	ADP
ejpam-7067	2	5	strongly	strongly	ADV
ejpam-7067	2	6	connected	connect	VERB
ejpam-7067	2	7	directed	direct	VERB
ejpam-7067	2	8	multi	multi	ADJ
ejpam-7067	2	9	-	-	ADJ
ejpam-7067	2	10	agent	agent	ADJ
ejpam-7067	2	11	systems	system	NOUN
ejpam-7067	2	12	subject	subject	ADJ
ejpam-7067	2	13	to	to	ADP
ejpam-7067	2	14	input	input	NOUN
ejpam-7067	2	15	saturation	saturation	NOUN
ejpam-7067	2	16	is	be	AUX
ejpam-7067	2	17	examined	examine	VERB
ejpam-7067	2	18	.	.	PUNCT
ejpam-7067	3	1	departing	depart	VERB
ejpam-7067	3	2	from	from	ADP
ejpam-7067	3	3	node	node	NOUN
ejpam-7067	3	4	-	-	PUNCT
ejpam-7067	3	5	based	base	VERB
ejpam-7067	3	6	formulations	formulation	NOUN
ejpam-7067	3	7	,	,	PUNCT
ejpam-7067	3	8	edge	edge	NOUN
ejpam-7067	3	9	-	-	PUNCT
ejpam-7067	3	10	level	level	NOUN
ejpam-7067	3	11	dynamics	dynamic	NOUN
ejpam-7067	3	12	are	be	AUX
ejpam-7067	3	13	modeled	model	VERB
ejpam-7067	3	14	on	on	ADP
ejpam-7067	3	15	the	the	DET
ejpam-7067	3	16	line	line	NOUN
ejpam-7067	3	17	digraph	digraph	NOUN
ejpam-7067	3	18	with	with	ADP
ejpam-7067	3	19	heterogeneous	heterogeneous	ADJ
ejpam-7067	3	20	scaling	scaling	NOUN
ejpam-7067	3	21	,	,	PUNCT
ejpam-7067	3	22	and	and	CCONJ
ejpam-7067	3	23	a	a	DET
ejpam-7067	3	24	fully	fully	ADV
ejpam-7067	3	25	distributed	distribute	VERB
ejpam-7067	3	26	threshold	threshold	NOUN
ejpam-7067	3	27	-	-	PUNCT
ejpam-7067	3	28	based	base	VERB
ejpam-7067	3	29	protocol	protocol	NOUN
ejpam-7067	3	30	is	be	AUX
ejpam-7067	3	31	introduced	introduce	VERB
ejpam-7067	3	32	wherein	wherein	SCONJ
ejpam-7067	3	33	each	each	DET
ejpam-7067	3	34	edge	edge	NOUN
ejpam-7067	3	35	updates	update	VERB
ejpam-7067	3	36	its	its	PRON
ejpam-7067	3	37	state	state	NOUN
ejpam-7067	3	38	using	use	VERB
ejpam-7067	3	39	only	only	ADJ
ejpam-7067	3	40	local	local	ADJ
ejpam-7067	3	41	disagreements	disagreement	NOUN
ejpam-7067	3	42	with	with	ADP
ejpam-7067	3	43	neighboring	neighboring	NOUN
ejpam-7067	3	44	edges	edge	NOUN
ejpam-7067	3	45	.	.	PUNCT
ejpam-7067	4	1	three	three	NUM
ejpam-7067	4	2	performance	performance	NOUN
ejpam-7067	4	3	regimes	regime	NOUN
ejpam-7067	4	4	are	be	AUX
ejpam-7067	4	5	established	establish	VERB
ejpam-7067	4	6	:	:	PUNCT
ejpam-7067	4	7	(	(	PUNCT
ejpam-7067	4	8	i	i	NOUN
ejpam-7067	4	9	)	)	PUNCT
ejpam-7067	4	10	in	in	ADP
ejpam-7067	4	11	the	the	DET
ejpam-7067	4	12	unsaturated	unsaturated	ADJ
ejpam-7067	4	13	case	case	NOUN
ejpam-7067	4	14	,	,	PUNCT
ejpam-7067	4	15	global	global	ADJ
ejpam-7067	4	16	scaled	scale	VERB
ejpam-7067	4	17	consensus	consensus	NOUN
ejpam-7067	4	18	is	be	AUX
ejpam-7067	4	19	achieved	achieve	VERB
ejpam-7067	4	20	;	;	PUNCT
ejpam-7067	4	21	(	(	PUNCT
ejpam-7067	4	22	ii	ii	NOUN
ejpam-7067	4	23	)	)	PUNCT
ejpam-7067	4	24	under	under	ADP
ejpam-7067	4	25	saturation	saturation	NOUN
ejpam-7067	4	26	,	,	PUNCT
ejpam-7067	4	27	consensus	consensus	NOUN
ejpam-7067	4	28	is	be	AUX
ejpam-7067	4	29	preserved	preserve	VERB
ejpam-7067	4	30	whenever	whenever	SCONJ
ejpam-7067	4	31	a	a	DET
ejpam-7067	4	32	verifiable	verifiable	ADJ
ejpam-7067	4	33	safedispersion	safedispersion	NOUN
ejpam-7067	4	34	bound	bind	VERB
ejpam-7067	4	35	on	on	ADP
ejpam-7067	4	36	the	the	DET
ejpam-7067	4	37	initial	initial	ADJ
ejpam-7067	4	38	condition	condition	NOUN
ejpam-7067	4	39	holds	hold	VERB
ejpam-7067	4	40	;	;	PUNCT
ejpam-7067	4	41	and	and	CCONJ
ejpam-7067	4	42	(	(	PUNCT
ejpam-7067	4	43	iii	iii	NOUN
ejpam-7067	4	44	)	)	PUNCT
ejpam-7067	4	45	for	for	ADP
ejpam-7067	4	46	large	large	ADJ
ejpam-7067	4	47	initial	initial	ADJ
ejpam-7067	4	48	disagreements	disagreement	NOUN
ejpam-7067	4	49	,	,	PUNCT
ejpam-7067	4	50	a	a	DET
ejpam-7067	4	51	low	low	ADJ
ejpam-7067	4	52	-	-	PUNCT
ejpam-7067	4	53	gain	gain	NOUN
ejpam-7067	4	54	design	design	NOUN
ejpam-7067	4	55	guarantees	guarantee	NOUN
ejpam-7067	4	56	bounded	bound	VERB
ejpam-7067	4	57	quasi	quasi	NOUN
ejpam-7067	4	58	-	-	NOUN
ejpam-7067	4	59	consensus	consensus	NOUN
ejpam-7067	4	60	with	with	ADP
ejpam-7067	4	61	an	an	DET
ejpam-7067	4	62	explicit	explicit	ADJ
ejpam-7067	4	63	radius	radius	NOUN
ejpam-7067	4	64	.	.	PUNCT
ejpam-7067	5	1	the	the	DET
ejpam-7067	5	2	analysis	analysis	NOUN
ejpam-7067	5	3	employs	employ	VERB
ejpam-7067	5	4	lyapunov	lyapunov	ADJ
ejpam-7067	5	5	methods	method	NOUN
ejpam-7067	5	6	,	,	PUNCT
ejpam-7067	5	7	metzler	metzler	NOUN
ejpam-7067	5	8	and	and	CCONJ
ejpam-7067	5	9	edge	edge	NOUN
ejpam-7067	5	10	-	-	PUNCT
ejpam-7067	5	11	laplacian	laplacian	ADJ
ejpam-7067	5	12	structure	structure	NOUN
ejpam-7067	5	13	,	,	PUNCT
ejpam-7067	5	14	and	and	CCONJ
ejpam-7067	5	15	invariance	invariance	NOUN
ejpam-7067	5	16	principles	principle	NOUN
ejpam-7067	5	17	.	.	PUNCT
ejpam-7067	6	1	simulations	simulation	NOUN
ejpam-7067	6	2	on	on	ADP
ejpam-7067	6	3	a	a	DET
ejpam-7067	6	4	10node	10node	NUM
ejpam-7067	6	5	,	,	PUNCT
ejpam-7067	6	6	18	18	NUM
ejpam-7067	6	7	-	-	PUNCT
ejpam-7067	6	8	edge	edge	NOUN
ejpam-7067	6	9	directed	direct	VERB
ejpam-7067	6	10	network	network	NOUN
ejpam-7067	6	11	corroborate	corroborate	VERB
ejpam-7067	6	12	the	the	DET
ejpam-7067	6	13	theory	theory	NOUN
ejpam-7067	6	14	and	and	CCONJ
ejpam-7067	6	15	reveal	reveal	VERB
ejpam-7067	6	16	trade	trade	NOUN
ejpam-7067	6	17	-	-	PUNCT
ejpam-7067	6	18	offs	off	NOUN
ejpam-7067	6	19	among	among	ADP
ejpam-7067	6	20	convergence	convergence	NOUN
ejpam-7067	6	21	speed	speed	NOUN
ejpam-7067	6	22	,	,	PUNCT
ejpam-7067	6	23	robustness	robustness	NOUN
ejpam-7067	6	24	to	to	ADP
ejpam-7067	6	25	saturation	saturation	NOUN
ejpam-7067	6	26	,	,	PUNCT
ejpam-7067	6	27	and	and	CCONJ
ejpam-7067	6	28	consensus	consensus	NOUN
ejpam-7067	6	29	accuracy	accuracy	NOUN
ejpam-7067	6	30	.	.	PUNCT
ejpam-7067	7	1	the	the	DET
ejpam-7067	7	2	resulting	result	VERB
ejpam-7067	7	3	framework	framework	NOUN
ejpam-7067	7	4	underscores	underscore	VERB
ejpam-7067	7	5	the	the	DET
ejpam-7067	7	6	utility	utility	NOUN
ejpam-7067	7	7	of	of	ADP
ejpam-7067	7	8	edge	edge	NOUN
ejpam-7067	7	9	-	-	PUNCT
ejpam-7067	7	10	level	level	NOUN
ejpam-7067	7	11	coordination	coordination	NOUN
ejpam-7067	7	12	under	under	ADP
ejpam-7067	7	13	actuation	actuation	NOUN
ejpam-7067	7	14	limits	limit	NOUN
ejpam-7067	7	15	and	and	CCONJ
ejpam-7067	7	16	exhibits	exhibit	VERB
ejpam-7067	7	17	scalability	scalability	NOUN
ejpam-7067	7	18	for	for	ADP
ejpam-7067	7	19	networked	networked	ADJ
ejpam-7067	7	20	control	control	NOUN
ejpam-7067	7	21	,	,	PUNCT
ejpam-7067	7	22	distributed	distributed	ADJ
ejpam-7067	7	23	coordination	coordination	NOUN
ejpam-7067	7	24	,	,	PUNCT
ejpam-7067	7	25	and	and	CCONJ
ejpam-7067	7	26	edge	edge	NOUN
ejpam-7067	7	27	-	-	PUNCT
ejpam-7067	7	28	centric	centric	ADJ
ejpam-7067	7	29	information	information	NOUN
ejpam-7067	7	30	processing	processing	NOUN
ejpam-7067	7	31	.	.	PUNCT
ejpam-7067	8	1	2020	2020	NUM
ejpam-7067	8	2	mathematics	mathematic	NOUN
ejpam-7067	8	3	subject	subject	NOUN
ejpam-7067	8	4	classifications	classification	NOUN
ejpam-7067	8	5	:	:	PUNCT
ejpam-7067	8	6	93d50	93d50	NUM
ejpam-7067	8	7	,	,	PUNCT
ejpam-7067	8	8	93d20	93d20	NUM
ejpam-7067	8	9	,	,	PUNCT
ejpam-7067	8	10	93d40	93d40	NUM
ejpam-7067	8	11	,	,	PUNCT
ejpam-7067	8	12	37n35	37n35	NUM
ejpam-7067	8	13	key	key	ADJ
ejpam-7067	8	14	words	word	NOUN
ejpam-7067	8	15	and	and	CCONJ
ejpam-7067	8	16	phrases	phrase	NOUN
ejpam-7067	8	17	:	:	PUNCT
ejpam-7067	8	18	edge	edge	NOUN
ejpam-7067	8	19	consensus	consensus	NOUN
ejpam-7067	8	20	,	,	PUNCT
ejpam-7067	8	21	scaled	scale	VERB
ejpam-7067	8	22	dynamics	dynamic	NOUN
ejpam-7067	8	23	,	,	PUNCT
ejpam-7067	8	24	input	input	NOUN
ejpam-7067	8	25	saturation	saturation	NOUN
ejpam-7067	8	26	,	,	PUNCT
ejpam-7067	8	27	threshold	threshold	NOUN
ejpam-7067	8	28	activation	activation	NOUN
ejpam-7067	8	29	,	,	PUNCT
ejpam-7067	8	30	quasi	quasi	NOUN
ejpam-7067	8	31	-	-	NOUN
ejpam-7067	8	32	consensus	consensus	ADJ
ejpam-7067	8	33	,	,	PUNCT
ejpam-7067	8	34	multi	multi	ADJ
ejpam-7067	8	35	-	-	ADJ
ejpam-7067	8	36	agent	agent	ADJ
ejpam-7067	8	37	systems	system	NOUN
ejpam-7067	8	38	1	1	NUM
ejpam-7067	8	39	.	.	PUNCT
ejpam-7067	9	1	introduction	introduction	NOUN
ejpam-7067	9	2	consensus	consensus	NOUN
ejpam-7067	9	3	in	in	ADP
ejpam-7067	9	4	multi	multi	ADJ
ejpam-7067	9	5	-	-	ADJ
ejpam-7067	9	6	agent	agent	ADJ
ejpam-7067	9	7	systems	system	NOUN
ejpam-7067	9	8	(	(	PUNCT
ejpam-7067	9	9	mass	mass	PROPN
ejpam-7067	9	10	)	)	PUNCT
ejpam-7067	9	11	has	have	AUX
ejpam-7067	9	12	become	become	VERB
ejpam-7067	9	13	a	a	DET
ejpam-7067	9	14	central	central	ADJ
ejpam-7067	9	15	theme	theme	NOUN
ejpam-7067	9	16	in	in	ADP
ejpam-7067	9	17	distributed	distribute	VERB
ejpam-7067	9	18	control	control	NOUN
ejpam-7067	9	19	,	,	PUNCT
ejpam-7067	9	20	networked	networked	ADJ
ejpam-7067	9	21	computation	computation	NOUN
ejpam-7067	9	22	,	,	PUNCT
ejpam-7067	9	23	and	and	CCONJ
ejpam-7067	9	24	cooperative	cooperative	ADJ
ejpam-7067	9	25	robotics	robotic	NOUN
ejpam-7067	9	26	.	.	PUNCT
ejpam-7067	10	1	since	since	SCONJ
ejpam-7067	10	2	the	the	DET
ejpam-7067	10	3	seminal	seminal	ADJ
ejpam-7067	10	4	work	work	NOUN
ejpam-7067	10	5	of	of	ADP
ejpam-7067	10	6	olfati	olfati	NOUN
ejpam-7067	10	7	-	-	PUNCT
ejpam-7067	10	8	saber	saber	NOUN
ejpam-7067	10	9	on	on	ADP
ejpam-7067	10	10	flocking	flocking	NOUN
ejpam-7067	10	11	and	and	CCONJ
ejpam-7067	10	12	consensus	consensus	NOUN
ejpam-7067	10	13	over	over	ADP
ejpam-7067	10	14	dynamic	dynamic	ADJ
ejpam-7067	10	15	graphs	graph	NOUN
ejpam-7067	10	16	[	[	X
ejpam-7067	10	17	1	1	NUM
ejpam-7067	10	18	]	]	PUNCT
ejpam-7067	10	19	,	,	PUNCT
ejpam-7067	10	20	the	the	DET
ejpam-7067	10	21	field	field	NOUN
ejpam-7067	10	22	has	have	AUX
ejpam-7067	10	23	evolved	evolve	VERB
ejpam-7067	10	24	beyond	beyond	ADP
ejpam-7067	10	25	node	node	NOUN
ejpam-7067	10	26	-	-	PUNCT
ejpam-7067	10	27	based	base	VERB
ejpam-7067	10	28	averaging	averaging	NOUN
ejpam-7067	10	29	to	to	PART
ejpam-7067	10	30	encompass	encompass	VERB
ejpam-7067	10	31	time	time	NOUN
ejpam-7067	10	32	delays	delay	NOUN
ejpam-7067	10	33	,	,	PUNCT
ejpam-7067	10	34	nonlinearities	nonlinearitie	NOUN
ejpam-7067	10	35	,	,	PUNCT
ejpam-7067	10	36	constraints	constraint	NOUN
ejpam-7067	10	37	,	,	PUNCT
ejpam-7067	10	38	and	and	CCONJ
ejpam-7067	10	39	hybrid	hybrid	ADJ
ejpam-7067	10	40	-	-	PUNCT
ejpam-7067	10	41	time	time	NOUN
ejpam-7067	10	42	implementations	implementation	NOUN
ejpam-7067	10	43	.	.	PUNCT
ejpam-7067	11	1	classical	classical	ADJ
ejpam-7067	11	2	protocols	protocol	NOUN
ejpam-7067	11	3	align	align	VERB
ejpam-7067	11	4	agent	agent	NOUN
ejpam-7067	11	5	(	(	PUNCT
ejpam-7067	11	6	node	node	NOUN
ejpam-7067	11	7	)	)	PUNCT
ejpam-7067	11	8	states	state	NOUN
ejpam-7067	11	9	,	,	PUNCT
ejpam-7067	11	10	which	which	PRON
ejpam-7067	11	11	is	be	AUX
ejpam-7067	11	12	effective	effective	ADJ
ejpam-7067	11	13	for	for	ADP
ejpam-7067	11	14	many	many	ADJ
ejpam-7067	11	15	tasks	task	NOUN
ejpam-7067	11	16	but	but	CCONJ
ejpam-7067	11	17	can	can	AUX
ejpam-7067	11	18	obscure	obscure	VERB
ejpam-7067	11	19	the	the	DET
ejpam-7067	11	20	physics	physics	NOUN
ejpam-7067	11	21	of	of	ADP
ejpam-7067	11	22	interactions	interaction	NOUN
ejpam-7067	11	23	—	—	PUNCT
ejpam-7067	11	24	flows	flow	NOUN
ejpam-7067	11	25	,	,	PUNCT
ejpam-7067	11	26	couplings	coupling	NOUN
ejpam-7067	11	27	,	,	PUNCT
ejpam-7067	11	28	or	or	CCONJ
ejpam-7067	11	29	∗corresponding	∗corresponde	VERB
ejpam-7067	11	30	author	author	NOUN
ejpam-7067	11	31	.	.	PUNCT
ejpam-7067	12	1	doi	doi	NOUN
ejpam-7067	12	2	:	:	PUNCT
ejpam-7067	12	3	https://doi.org/10.29020/nybg.ejpam.v18i4.7067	https://doi.org/10.29020/nybg.ejpam.v18i4.7067	NUM
ejpam-7067	12	4	email	email	NOUN
ejpam-7067	12	5	addresses	address	NOUN
ejpam-7067	12	6	:	:	PUNCT
ejpam-7067	12	7	mana.do@up.ac.th	mana.do@up.ac.th	PROPN
ejpam-7067	12	8	(	(	PUNCT
ejpam-7067	12	9	m.	m.	NOUN
ejpam-7067	12	10	donganont	donganont	PROPN
ejpam-7067	12	11	)	)	PUNCT
ejpam-7067	12	12	,	,	PUNCT
ejpam-7067	12	13	uamporn.wi@up.ac.th	uamporn.wi@up.ac.th	PROPN
ejpam-7067	12	14	(	(	PUNCT
ejpam-7067	12	15	u.	u.	NOUN
ejpam-7067	12	16	witthayarat	witthayarat	PROPN
ejpam-7067	12	17	)	)	PUNCT
ejpam-7067	12	18	,	,	PUNCT
ejpam-7067	12	19	siriwan.in@up.ac.th	siriwan.in@up.ac.th	PROPN
ejpam-7067	12	20	(	(	PUNCT
ejpam-7067	12	21	s.	s.	PROPN
ejpam-7067	12	22	intawichai	intawichai	PROPN
ejpam-7067	12	23	)	)	PUNCT
ejpam-7067	12	24	,	,	PUNCT
ejpam-7067	12	25	saranya.ph@up.ac.th	saranya.ph@up.ac.th	PROPN
ejpam-7067	12	26	(	(	PUNCT
ejpam-7067	12	27	s.	s.	PROPN
ejpam-7067	12	28	phongchan	phongchan	PROPN
ejpam-7067	12	29	)	)	PUNCT
ejpam-7067	12	30	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-7067	12	31	1	1	NUM
ejpam-7067	12	32	copyright	copyright	NOUN
ejpam-7067	12	33	:	:	PUNCT
ejpam-7067	13	1	©	©	PROPN
ejpam-7067	13	2	2025	2025	NUM
ejpam-7067	13	3	the	the	DET
ejpam-7067	13	4	author(s	author(s	NOUN
ejpam-7067	13	5	)	)	PUNCT
ejpam-7067	13	6	.	.	PUNCT
ejpam-7067	14	1	(	(	PUNCT
ejpam-7067	14	2	cc	cc	NOUN
ejpam-7067	14	3	by	by	ADP
ejpam-7067	14	4	-	-	PUNCT
ejpam-7067	14	5	nc	nc	PROPN
ejpam-7067	14	6	4.0	4.0	NUM
ejpam-7067	14	7	)	)	PUNCT
ejpam-7067	14	8	m.	m.	NOUN
ejpam-7067	14	9	donganont	donganont	PROPN
ejpam-7067	14	10	et	et	PROPN
ejpam-7067	14	11	al	al	PROPN
ejpam-7067	14	12	.	.	PUNCT
ejpam-7067	14	13	/	/	SYM
ejpam-7067	14	14	eur	eur	PROPN
ejpam-7067	14	15	.	.	PUNCT
ejpam-7067	15	1	j.	j.	PROPN
ejpam-7067	15	2	pure	pure	PROPN
ejpam-7067	15	3	appl	appl	PROPN
ejpam-7067	15	4	.	.	PROPN
ejpam-7067	15	5	math	math	PROPN
ejpam-7067	15	6	,	,	PUNCT
ejpam-7067	15	7	18	18	NUM
ejpam-7067	15	8	(	(	PUNCT
ejpam-7067	15	9	4	4	NUM
ejpam-7067	15	10	)	)	PUNCT
ejpam-7067	15	11	(	(	PUNCT
ejpam-7067	15	12	2025	2025	NUM
ejpam-7067	15	13	)	)	PUNCT
ejpam-7067	15	14	,	,	PUNCT
ejpam-7067	15	15	7067	7067	NUM
ejpam-7067	15	16	2	2	NUM
ejpam-7067	15	17	of	of	ADP
ejpam-7067	15	18	22	22	NUM
ejpam-7067	15	19	conservation	conservation	NOUN
ejpam-7067	15	20	relations	relation	NOUN
ejpam-7067	15	21	—	—	PUNCT
ejpam-7067	15	22	occurring	occur	VERB
ejpam-7067	15	23	along	along	ADP
ejpam-7067	15	24	network	network	NOUN
ejpam-7067	15	25	edges	edge	NOUN
ejpam-7067	15	26	.	.	PUNCT
ejpam-7067	16	1	as	as	SCONJ
ejpam-7067	16	2	applications	application	NOUN
ejpam-7067	16	3	expand	expand	VERB
ejpam-7067	16	4	to	to	ADP
ejpam-7067	16	5	vehicular	vehicular	ADJ
ejpam-7067	16	6	platooning	platooning	NOUN
ejpam-7067	16	7	,	,	PUNCT
ejpam-7067	16	8	power	power	NOUN
ejpam-7067	16	9	networks	network	NOUN
ejpam-7067	16	10	,	,	PUNCT
ejpam-7067	16	11	robotic	robotic	ADJ
ejpam-7067	16	12	swarms	swarm	NOUN
ejpam-7067	16	13	,	,	PUNCT
ejpam-7067	16	14	and	and	CCONJ
ejpam-7067	16	15	wireless	wireless	ADJ
ejpam-7067	16	16	sensing	sensing	NOUN
ejpam-7067	16	17	,	,	PUNCT
ejpam-7067	16	18	modeling	modeling	NOUN
ejpam-7067	16	19	and	and	CCONJ
ejpam-7067	16	20	controlling	control	VERB
ejpam-7067	16	21	the	the	DET
ejpam-7067	16	22	interactions	interaction	NOUN
ejpam-7067	16	23	themselves	themselves	PRON
ejpam-7067	16	24	has	have	AUX
ejpam-7067	16	25	proven	prove	VERB
ejpam-7067	16	26	advantageous	advantageous	ADJ
ejpam-7067	16	27	.	.	PUNCT
ejpam-7067	17	1	this	this	DET
ejpam-7067	17	2	recognition	recognition	NOUN
ejpam-7067	17	3	has	have	AUX
ejpam-7067	17	4	spurred	spur	VERB
ejpam-7067	17	5	edge	edge	ADJ
ejpam-7067	17	6	-	-	PUNCT
ejpam-7067	17	7	centric	centric	NOUN
ejpam-7067	17	8	formulations	formulation	NOUN
ejpam-7067	17	9	in	in	ADP
ejpam-7067	17	10	which	which	PRON
ejpam-7067	17	11	dynamical	dynamical	ADJ
ejpam-7067	17	12	states	state	NOUN
ejpam-7067	17	13	are	be	AUX
ejpam-7067	17	14	assigned	assign	VERB
ejpam-7067	17	15	to	to	ADP
ejpam-7067	17	16	the	the	DET
ejpam-7067	17	17	edges	edge	NOUN
ejpam-7067	17	18	of	of	ADP
ejpam-7067	17	19	the	the	DET
ejpam-7067	17	20	communication	communication	NOUN
ejpam-7067	17	21	graph	graph	NOUN
ejpam-7067	17	22	.	.	PUNCT
ejpam-7067	18	1	early	early	ADJ
ejpam-7067	18	2	formalizations	formalization	NOUN
ejpam-7067	18	3	of	of	ADP
ejpam-7067	18	4	nonnegative	nonnegative	ADJ
ejpam-7067	18	5	edge	edge	NOUN
ejpam-7067	18	6	(	(	PUNCT
ejpam-7067	18	7	quasi-)consensus	quasi-)consensus	NOUN
ejpam-7067	18	8	[	[	X
ejpam-7067	18	9	2	2	NUM
ejpam-7067	18	10	]	]	PUNCT
ejpam-7067	18	11	and	and	CCONJ
ejpam-7067	18	12	positive	positive	ADJ
ejpam-7067	18	13	edge	edge	NOUN
ejpam-7067	18	14	coordination	coordination	NOUN
ejpam-7067	18	15	[	[	X
ejpam-7067	18	16	3	3	NUM
ejpam-7067	18	17	,	,	PUNCT
ejpam-7067	18	18	4	4	NUM
ejpam-7067	18	19	]	]	PUNCT
ejpam-7067	18	20	demonstrate	demonstrate	VERB
ejpam-7067	18	21	that	that	SCONJ
ejpam-7067	18	22	regulating	regulate	VERB
ejpam-7067	18	23	edge	edge	NOUN
ejpam-7067	18	24	variables	variable	NOUN
ejpam-7067	18	25	yields	yield	VERB
ejpam-7067	18	26	finer	fine	ADJ
ejpam-7067	18	27	control	control	PROPN
ejpam-7067	18	28	granularity	granularity	NOUN
ejpam-7067	18	29	,	,	PUNCT
ejpam-7067	18	30	natural	natural	ADJ
ejpam-7067	18	31	symmetry	symmetry	NOUN
ejpam-7067	18	32	,	,	PUNCT
ejpam-7067	18	33	and	and	CCONJ
ejpam-7067	18	34	compatibility	compatibility	NOUN
ejpam-7067	18	35	with	with	ADP
ejpam-7067	18	36	physical	physical	ADJ
ejpam-7067	18	37	constraints	constraint	NOUN
ejpam-7067	18	38	.	.	PUNCT
ejpam-7067	19	1	actuation	actuation	NOUN
ejpam-7067	19	2	limits	limit	NOUN
ejpam-7067	19	3	have	have	AUX
ejpam-7067	19	4	been	be	AUX
ejpam-7067	19	5	examined	examine	VERB
ejpam-7067	19	6	in	in	ADP
ejpam-7067	19	7	edge	edge	NOUN
ejpam-7067	19	8	settings	setting	NOUN
ejpam-7067	19	9	with	with	ADP
ejpam-7067	19	10	input	input	NOUN
ejpam-7067	19	11	saturation	saturation	NOUN
ejpam-7067	19	12	[	[	X
ejpam-7067	19	13	5	5	NUM
ejpam-7067	19	14	]	]	PUNCT
ejpam-7067	19	15	,	,	PUNCT
ejpam-7067	19	16	and	and	CCONJ
ejpam-7067	19	17	fixed	fix	VERB
ejpam-7067	19	18	-	-	PUNCT
ejpam-7067	19	19	time	time	NOUN
ejpam-7067	19	20	as	as	ADV
ejpam-7067	19	21	well	well	ADV
ejpam-7067	19	22	as	as	ADP
ejpam-7067	19	23	optimization	optimization	NOUN
ejpam-7067	19	24	-	-	PUNCT
ejpam-7067	19	25	oriented	orient	VERB
ejpam-7067	19	26	perspectives	perspective	NOUN
ejpam-7067	19	27	have	have	AUX
ejpam-7067	19	28	highlighted	highlight	VERB
ejpam-7067	19	29	the	the	DET
ejpam-7067	19	30	algorithmic	algorithmic	ADJ
ejpam-7067	19	31	benefits	benefit	NOUN
ejpam-7067	19	32	of	of	ADP
ejpam-7067	19	33	edge	edge	NOUN
ejpam-7067	19	34	-	-	PUNCT
ejpam-7067	19	35	level	level	NOUN
ejpam-7067	19	36	updates	update	NOUN
ejpam-7067	19	37	for	for	ADP
ejpam-7067	19	38	speed	speed	NOUN
ejpam-7067	19	39	and	and	CCONJ
ejpam-7067	19	40	flexibility	flexibility	NOUN
ejpam-7067	19	41	[	[	X
ejpam-7067	19	42	6	6	NUM
ejpam-7067	19	43	,	,	PUNCT
ejpam-7067	19	44	7	7	NUM
ejpam-7067	19	45	]	]	PUNCT
ejpam-7067	19	46	.	.	PUNCT
ejpam-7067	20	1	these	these	DET
ejpam-7067	20	2	advances	advance	NOUN
ejpam-7067	20	3	collectively	collectively	ADV
ejpam-7067	20	4	point	point	VERB
ejpam-7067	20	5	to	to	ADP
ejpam-7067	20	6	edge	edge	NOUN
ejpam-7067	20	7	-	-	PUNCT
ejpam-7067	20	8	based	base	VERB
ejpam-7067	20	9	coordination	coordination	NOUN
ejpam-7067	20	10	as	as	ADP
ejpam-7067	20	11	an	an	DET
ejpam-7067	20	12	expressive	expressive	ADJ
ejpam-7067	20	13	alternative	alternative	NOUN
ejpam-7067	20	14	to	to	ADP
ejpam-7067	20	15	node	node	NOUN
ejpam-7067	20	16	-	-	PUNCT
ejpam-7067	20	17	centric	centric	ADJ
ejpam-7067	20	18	consensus	consensus	NOUN
ejpam-7067	20	19	.	.	PUNCT
ejpam-7067	21	1	beyond	beyond	ADP
ejpam-7067	21	2	exact	exact	ADJ
ejpam-7067	21	3	agreement	agreement	NOUN
ejpam-7067	21	4	,	,	PUNCT
ejpam-7067	21	5	quasi	quasi	ADJ
ejpam-7067	21	6	-	-	NOUN
ejpam-7067	21	7	consensus	consensus	NOUN
ejpam-7067	21	8	has	have	AUX
ejpam-7067	21	9	emerged	emerge	VERB
ejpam-7067	21	10	as	as	ADP
ejpam-7067	21	11	a	a	DET
ejpam-7067	21	12	practically	practically	ADV
ejpam-7067	21	13	relevant	relevant	ADJ
ejpam-7067	21	14	relaxation	relaxation	NOUN
ejpam-7067	21	15	:	:	PUNCT
ejpam-7067	21	16	agents	agent	NOUN
ejpam-7067	21	17	(	(	PUNCT
ejpam-7067	21	18	or	or	CCONJ
ejpam-7067	21	19	edges	edge	NOUN
ejpam-7067	21	20	)	)	PUNCT
ejpam-7067	21	21	converge	converge	VERB
ejpam-7067	21	22	to	to	ADP
ejpam-7067	21	23	a	a	DET
ejpam-7067	21	24	bounded	bounded	ADJ
ejpam-7067	21	25	neighborhood	neighborhood	NOUN
ejpam-7067	21	26	or	or	CCONJ
ejpam-7067	21	27	to	to	ADP
ejpam-7067	21	28	structured	structure	VERB
ejpam-7067	21	29	ratios	ratio	NOUN
ejpam-7067	21	30	rather	rather	ADV
ejpam-7067	21	31	than	than	ADP
ejpam-7067	21	32	a	a	DET
ejpam-7067	21	33	single	single	ADJ
ejpam-7067	21	34	value	value	NOUN
ejpam-7067	21	35	.	.	PUNCT
ejpam-7067	22	1	node	node	NOUN
ejpam-7067	22	2	-	-	PUNCT
ejpam-7067	22	3	based	base	VERB
ejpam-7067	22	4	studies	study	NOUN
ejpam-7067	22	5	—	—	PUNCT
ejpam-7067	22	6	addressing	address	VERB
ejpam-7067	22	7	heterogeneity	heterogeneity	NOUN
ejpam-7067	22	8	,	,	PUNCT
ejpam-7067	22	9	packet	packet	NOUN
ejpam-7067	22	10	loss	loss	NOUN
ejpam-7067	22	11	,	,	PUNCT
ejpam-7067	22	12	sampling	sampling	NOUN
ejpam-7067	22	13	,	,	PUNCT
ejpam-7067	22	14	switching	switching	NOUN
ejpam-7067	22	15	,	,	PUNCT
ejpam-7067	22	16	or	or	CCONJ
ejpam-7067	22	17	impulses	impulse	NOUN
ejpam-7067	22	18	—	—	PUNCT
ejpam-7067	22	19	have	have	AUX
ejpam-7067	22	20	mapped	map	VERB
ejpam-7067	22	21	out	out	ADP
ejpam-7067	22	22	much	much	ADJ
ejpam-7067	22	23	of	of	ADP
ejpam-7067	22	24	this	this	DET
ejpam-7067	22	25	landscape	landscape	NOUN
ejpam-7067	22	26	[	[	X
ejpam-7067	22	27	8–15	8–15	PROPN
ejpam-7067	22	28	]	]	PUNCT
ejpam-7067	22	29	.	.	PUNCT
ejpam-7067	23	1	a	a	DET
ejpam-7067	23	2	complementary	complementary	ADJ
ejpam-7067	23	3	direction	direction	NOUN
ejpam-7067	23	4	is	be	AUX
ejpam-7067	23	5	scaled	scale	VERB
ejpam-7067	23	6	consensus	consensus	NOUN
ejpam-7067	24	1	[	[	X
ejpam-7067	24	2	16	16	NUM
ejpam-7067	24	3	]	]	X
ejpam-7067	24	4	,	,	PUNCT
ejpam-7067	24	5	in	in	ADP
ejpam-7067	24	6	which	which	PRON
ejpam-7067	24	7	asymptotic	asymptotic	ADJ
ejpam-7067	24	8	ratios	ratio	NOUN
ejpam-7067	24	9	are	be	AUX
ejpam-7067	24	10	prescribed	prescribe	VERB
ejpam-7067	24	11	by	by	ADP
ejpam-7067	24	12	nonuniform	nonuniform	ADJ
ejpam-7067	24	13	weights	weight	NOUN
ejpam-7067	24	14	to	to	PART
ejpam-7067	24	15	enable	enable	VERB
ejpam-7067	24	16	task	task	NOUN
ejpam-7067	24	17	balancing	balancing	NOUN
ejpam-7067	24	18	and	and	CCONJ
ejpam-7067	24	19	energy	energy	NOUN
ejpam-7067	24	20	-	-	PUNCT
ejpam-7067	24	21	aware	aware	ADJ
ejpam-7067	24	22	objectives	objective	NOUN
ejpam-7067	24	23	.	.	PUNCT
ejpam-7067	25	1	the	the	DET
ejpam-7067	25	2	edge	edge	NOUN
ejpam-7067	25	3	counterpart	counterpart	NOUN
ejpam-7067	25	4	,	,	PUNCT
ejpam-7067	25	5	scaled	scale	VERB
ejpam-7067	25	6	edge	edge	NOUN
ejpam-7067	25	7	consensus	consensus	NOUN
ejpam-7067	25	8	,	,	PUNCT
ejpam-7067	25	9	is	be	AUX
ejpam-7067	25	10	comparatively	comparatively	ADV
ejpam-7067	25	11	recent	recent	ADJ
ejpam-7067	25	12	:	:	PUNCT
ejpam-7067	25	13	park	park	NOUN
ejpam-7067	25	14	et	et	PROPN
ejpam-7067	25	15	al	al	PROPN
ejpam-7067	25	16	.	.	PUNCT
ejpam-7067	26	1	[	[	X
ejpam-7067	26	2	17	17	NUM
ejpam-7067	26	3	]	]	PUNCT
ejpam-7067	26	4	proposed	propose	VERB
ejpam-7067	26	5	a	a	DET
ejpam-7067	26	6	hybrid	hybrid	NOUN
ejpam-7067	26	7	(	(	PUNCT
ejpam-7067	26	8	ct	ct	NOUN
ejpam-7067	26	9	/	/	SYM
ejpam-7067	26	10	dt	dt	NOUN
ejpam-7067	26	11	)	)	PUNCT
ejpam-7067	26	12	framework	framework	NOUN
ejpam-7067	26	13	with	with	ADP
ejpam-7067	26	14	normalized	normalize	VERB
ejpam-7067	26	15	scaling	scaling	NOUN
ejpam-7067	26	16	,	,	PUNCT
ejpam-7067	26	17	while	while	SCONJ
ejpam-7067	26	18	subsequent	subsequent	ADJ
ejpam-7067	26	19	works	work	NOUN
ejpam-7067	26	20	explored	explore	VERB
ejpam-7067	26	21	pulse	pulse	NOUN
ejpam-7067	26	22	-	-	PUNCT
ejpam-7067	26	23	modulated	modulate	VERB
ejpam-7067	26	24	and	and	CCONJ
ejpam-7067	26	25	complex	complex	ADV
ejpam-7067	26	26	-	-	PUNCT
ejpam-7067	26	27	weighted	weight	VERB
ejpam-7067	26	28	extensions	extension	NOUN
ejpam-7067	26	29	in	in	ADP
ejpam-7067	26	30	hybrid	hybrid	ADJ
ejpam-7067	26	31	settings	setting	NOUN
ejpam-7067	26	32	[	[	X
ejpam-7067	26	33	18–20	18–20	NUM
ejpam-7067	26	34	]	]	PUNCT
ejpam-7067	26	35	.	.	PUNCT
ejpam-7067	27	1	however	however	ADV
ejpam-7067	27	2	,	,	PUNCT
ejpam-7067	27	3	most	most	ADJ
ejpam-7067	27	4	existing	exist	VERB
ejpam-7067	27	5	results	result	NOUN
ejpam-7067	27	6	either	either	CCONJ
ejpam-7067	27	7	assume	assume	VERB
ejpam-7067	27	8	ideal	ideal	ADJ
ejpam-7067	27	9	actuators	actuator	NOUN
ejpam-7067	27	10	or	or	CCONJ
ejpam-7067	27	11	treat	treat	VERB
ejpam-7067	27	12	scaling	scaling	NOUN
ejpam-7067	27	13	,	,	PUNCT
ejpam-7067	27	14	thresholding	thresholding	NOUN
ejpam-7067	27	15	,	,	PUNCT
ejpam-7067	27	16	and	and	CCONJ
ejpam-7067	27	17	saturation	saturation	NOUN
ejpam-7067	27	18	in	in	ADP
ejpam-7067	27	19	isolation	isolation	NOUN
ejpam-7067	27	20	.	.	PUNCT
ejpam-7067	28	1	in	in	ADP
ejpam-7067	28	2	practice	practice	NOUN
ejpam-7067	28	3	,	,	PUNCT
ejpam-7067	28	4	actuator	actuator	NOUN
ejpam-7067	28	5	saturation	saturation	NOUN
ejpam-7067	28	6	is	be	AUX
ejpam-7067	28	7	unavoidable	unavoidable	ADJ
ejpam-7067	28	8	and	and	CCONJ
ejpam-7067	28	9	strongly	strongly	ADV
ejpam-7067	28	10	shapes	shape	NOUN
ejpam-7067	28	11	closed	close	VERB
ejpam-7067	28	12	-	-	PUNCT
ejpam-7067	28	13	loop	loop	NOUN
ejpam-7067	28	14	behavior	behavior	NOUN
ejpam-7067	28	15	,	,	PUNCT
ejpam-7067	28	16	while	while	SCONJ
ejpam-7067	28	17	threshold	threshold	NOUN
ejpam-7067	28	18	activation	activation	NOUN
ejpam-7067	28	19	(	(	PUNCT
ejpam-7067	28	20	or	or	CCONJ
ejpam-7067	28	21	hysteresis	hysteresis	NOUN
ejpam-7067	28	22	)	)	PUNCT
ejpam-7067	28	23	is	be	AUX
ejpam-7067	28	24	desirable	desirable	ADJ
ejpam-7067	28	25	to	to	PART
ejpam-7067	28	26	reduce	reduce	VERB
ejpam-7067	28	27	chatter	chatter	NOUN
ejpam-7067	28	28	,	,	PUNCT
ejpam-7067	28	29	communication	communication	NOUN
ejpam-7067	28	30	,	,	PUNCT
ejpam-7067	28	31	and	and	CCONJ
ejpam-7067	28	32	energy	energy	NOUN
ejpam-7067	28	33	consumption	consumption	NOUN
ejpam-7067	28	34	by	by	ADP
ejpam-7067	28	35	engaging	engage	VERB
ejpam-7067	28	36	control	control	NOUN
ejpam-7067	28	37	only	only	ADV
ejpam-7067	28	38	when	when	SCONJ
ejpam-7067	28	39	disagreements	disagreement	NOUN
ejpam-7067	28	40	exceed	exceed	VERB
ejpam-7067	28	41	meaningful	meaningful	ADJ
ejpam-7067	28	42	levels	level	NOUN
ejpam-7067	28	43	.	.	PUNCT
ejpam-7067	29	1	designing	design	VERB
ejpam-7067	29	2	protocols	protocol	NOUN
ejpam-7067	29	3	that	that	PRON
ejpam-7067	29	4	are	be	AUX
ejpam-7067	29	5	simultaneously	simultaneously	ADV
ejpam-7067	29	6	scaled	scale	VERB
ejpam-7067	29	7	,	,	PUNCT
ejpam-7067	29	8	threshold	threshold	NOUN
ejpam-7067	29	9	-	-	PUNCT
ejpam-7067	29	10	based	base	VERB
ejpam-7067	29	11	,	,	PUNCT
ejpam-7067	29	12	and	and	CCONJ
ejpam-7067	29	13	saturation	saturation	NOUN
ejpam-7067	29	14	-	-	PUNCT
ejpam-7067	29	15	aware	aware	ADJ
ejpam-7067	29	16	—	—	PUNCT
ejpam-7067	29	17	while	while	SCONJ
ejpam-7067	29	18	remaining	remaining	AUX
ejpam-7067	29	19	fully	fully	ADV
ejpam-7067	29	20	distributed	distribute	VERB
ejpam-7067	29	21	at	at	ADP
ejpam-7067	29	22	the	the	DET
ejpam-7067	29	23	edge	edge	NOUN
ejpam-7067	29	24	level	level	NOUN
ejpam-7067	29	25	—	—	PUNCT
ejpam-7067	29	26	therefore	therefore	ADV
ejpam-7067	29	27	addresses	address	VERB
ejpam-7067	29	28	an	an	DET
ejpam-7067	29	29	important	important	ADJ
ejpam-7067	29	30	gap	gap	NOUN
ejpam-7067	29	31	.	.	PUNCT
ejpam-7067	30	1	this	this	DET
ejpam-7067	30	2	paper	paper	NOUN
ejpam-7067	30	3	fills	fill	VERB
ejpam-7067	30	4	that	that	DET
ejpam-7067	30	5	gap	gap	NOUN
ejpam-7067	30	6	by	by	ADP
ejpam-7067	30	7	developing	develop	VERB
ejpam-7067	30	8	and	and	CCONJ
ejpam-7067	30	9	analyzing	analyze	VERB
ejpam-7067	30	10	a	a	DET
ejpam-7067	30	11	threshold	threshold	NOUN
ejpam-7067	30	12	-	-	PUNCT
ejpam-7067	30	13	based	base	VERB
ejpam-7067	30	14	protocol	protocol	NOUN
ejpam-7067	30	15	for	for	ADP
ejpam-7067	30	16	scaled	scale	VERB
ejpam-7067	30	17	edge	edge	NOUN
ejpam-7067	30	18	(	(	PUNCT
ejpam-7067	30	19	quasi-)consensus	quasi-)consensus	NOUN
ejpam-7067	30	20	in	in	ADP
ejpam-7067	30	21	strongly	strongly	ADV
ejpam-7067	30	22	connected	connect	VERB
ejpam-7067	30	23	directed	direct	VERB
ejpam-7067	30	24	mass	mass	NOUN
ejpam-7067	30	25	with	with	ADP
ejpam-7067	30	26	input	input	NOUN
ejpam-7067	30	27	saturation	saturation	NOUN
ejpam-7067	30	28	.	.	PUNCT
ejpam-7067	31	1	edge	edge	NOUN
ejpam-7067	31	2	states	state	NOUN
ejpam-7067	31	3	evolve	evolve	VERB
ejpam-7067	31	4	on	on	ADP
ejpam-7067	31	5	the	the	DET
ejpam-7067	31	6	line	line	NOUN
ejpam-7067	31	7	digraph	digraph	NOUN
ejpam-7067	31	8	and	and	CCONJ
ejpam-7067	31	9	are	be	AUX
ejpam-7067	31	10	updated	update	VERB
ejpam-7067	31	11	using	use	VERB
ejpam-7067	31	12	only	only	ADV
ejpam-7067	31	13	local	local	ADJ
ejpam-7067	31	14	disagreements	disagreement	NOUN
ejpam-7067	31	15	with	with	ADP
ejpam-7067	31	16	neighboring	neighboring	NOUN
ejpam-7067	31	17	edges	edge	NOUN
ejpam-7067	31	18	.	.	PUNCT
ejpam-7067	32	1	heterogeneous	heterogeneous	ADJ
ejpam-7067	32	2	scaling	scaling	NOUN
ejpam-7067	32	3	is	be	AUX
ejpam-7067	32	4	encoded	encode	VERB
ejpam-7067	32	5	diagonally	diagonally	ADV
ejpam-7067	32	6	,	,	PUNCT
ejpam-7067	32	7	and	and	CCONJ
ejpam-7067	32	8	normalized	normalize	VERB
ejpam-7067	32	9	coordinates	coordinate	NOUN
ejpam-7067	32	10	render	render	VERB
ejpam-7067	32	11	the	the	DET
ejpam-7067	32	12	notion	notion	NOUN
ejpam-7067	32	13	of	of	ADP
ejpam-7067	32	14	scaled	scaled	ADJ
ejpam-7067	32	15	consensus	consensus	NOUN
ejpam-7067	32	16	well	well	ADV
ejpam-7067	32	17	-	-	PUNCT
ejpam-7067	32	18	posed	pose	VERB
ejpam-7067	32	19	under	under	ADP
ejpam-7067	32	20	heterogeneous	heterogeneous	ADJ
ejpam-7067	32	21	interactions	interaction	NOUN
ejpam-7067	32	22	.	.	PUNCT
ejpam-7067	33	1	the	the	DET
ejpam-7067	33	2	contributions	contribution	NOUN
ejpam-7067	33	3	are	be	AUX
ejpam-7067	33	4	threefold	threefold	ADJ
ejpam-7067	33	5	and	and	CCONJ
ejpam-7067	33	6	integrated	integrate	VERB
ejpam-7067	33	7	within	within	ADP
ejpam-7067	33	8	a	a	DET
ejpam-7067	33	9	single	single	ADJ
ejpam-7067	33	10	,	,	PUNCT
ejpam-7067	33	11	rigorously	rigorously	ADV
ejpam-7067	33	12	analyzed	analyze	VERB
ejpam-7067	33	13	framework	framework	NOUN
ejpam-7067	33	14	.	.	PUNCT
ejpam-7067	34	1	first	first	ADV
ejpam-7067	34	2	,	,	PUNCT
ejpam-7067	34	3	we	we	PRON
ejpam-7067	34	4	establish	establish	VERB
ejpam-7067	34	5	that	that	SCONJ
ejpam-7067	34	6	the	the	DET
ejpam-7067	34	7	proposed	propose	VERB
ejpam-7067	34	8	protocol	protocol	NOUN
ejpam-7067	34	9	achieves	achieve	VERB
ejpam-7067	34	10	global	global	ADJ
ejpam-7067	34	11	scaled	scale	VERB
ejpam-7067	34	12	consensus	consensus	NOUN
ejpam-7067	34	13	in	in	ADP
ejpam-7067	34	14	the	the	DET
ejpam-7067	34	15	unsaturated	unsaturated	ADJ
ejpam-7067	34	16	regime	regime	NOUN
ejpam-7067	34	17	,	,	PUNCT
ejpam-7067	34	18	preserves	preserve	VERB
ejpam-7067	34	19	consensus	consensus	NOUN
ejpam-7067	34	20	under	under	ADP
ejpam-7067	34	21	saturation	saturation	NOUN
ejpam-7067	34	22	provided	provide	VERB
ejpam-7067	34	23	a	a	DET
ejpam-7067	34	24	verifiable	verifiable	ADJ
ejpam-7067	34	25	safe	safe	ADJ
ejpam-7067	34	26	-	-	PUNCT
ejpam-7067	34	27	dispersion	dispersion	NOUN
ejpam-7067	34	28	bound	bind	VERB
ejpam-7067	34	29	on	on	ADP
ejpam-7067	34	30	the	the	DET
ejpam-7067	34	31	initial	initial	ADJ
ejpam-7067	34	32	condition	condition	NOUN
ejpam-7067	34	33	,	,	PUNCT
ejpam-7067	34	34	and	and	CCONJ
ejpam-7067	34	35	guarantees	guarantee	NOUN
ejpam-7067	34	36	bounded	bound	VERB
ejpam-7067	34	37	quasi	quasi	NOUN
ejpam-7067	34	38	-	-	NOUN
ejpam-7067	34	39	consensus	consensus	NOUN
ejpam-7067	34	40	via	via	ADP
ejpam-7067	34	41	a	a	DET
ejpam-7067	34	42	low	low	ADJ
ejpam-7067	34	43	-	-	PUNCT
ejpam-7067	34	44	gain	gain	NOUN
ejpam-7067	34	45	design	design	NOUN
ejpam-7067	34	46	in	in	ADP
ejpam-7067	34	47	high	high	ADJ
ejpam-7067	34	48	-	-	PUNCT
ejpam-7067	34	49	dispersion	dispersion	NOUN
ejpam-7067	34	50	scenarios	scenario	NOUN
ejpam-7067	34	51	.	.	PUNCT
ejpam-7067	35	1	second	second	ADJ
ejpam-7067	35	2	,	,	PUNCT
ejpam-7067	35	3	we	we	PRON
ejpam-7067	35	4	clarify	clarify	VERB
ejpam-7067	35	5	tuning	tune	VERB
ejpam-7067	35	6	and	and	CCONJ
ejpam-7067	35	7	interpretability	interpretability	NOUN
ejpam-7067	35	8	:	:	PUNCT
ejpam-7067	35	9	thresholds	threshold	NOUN
ejpam-7067	35	10	and	and	CCONJ
ejpam-7067	35	11	gains	gain	NOUN
ejpam-7067	35	12	have	have	VERB
ejpam-7067	35	13	transparent	transparent	ADJ
ejpam-7067	35	14	effects	effect	NOUN
ejpam-7067	35	15	,	,	PUNCT
ejpam-7067	35	16	with	with	ADP
ejpam-7067	35	17	larger	large	ADJ
ejpam-7067	35	18	thresholds	threshold	NOUN
ejpam-7067	35	19	reducing	reduce	VERB
ejpam-7067	35	20	activation	activation	NOUN
ejpam-7067	35	21	and	and	CCONJ
ejpam-7067	35	22	control	control	NOUN
ejpam-7067	35	23	energy	energy	NOUN
ejpam-7067	35	24	,	,	PUNCT
ejpam-7067	35	25	and	and	CCONJ
ejpam-7067	35	26	lower	low	ADJ
ejpam-7067	35	27	gains	gain	NOUN
ejpam-7067	35	28	enlarging	enlarge	VERB
ejpam-7067	35	29	robustness	robustness	NOUN
ejpam-7067	35	30	to	to	ADP
ejpam-7067	35	31	saturation	saturation	NOUN
ejpam-7067	35	32	at	at	ADP
ejpam-7067	35	33	the	the	DET
ejpam-7067	35	34	cost	cost	NOUN
ejpam-7067	35	35	of	of	ADP
ejpam-7067	35	36	accuracy	accuracy	NOUN
ejpam-7067	35	37	;	;	PUNCT
ejpam-7067	35	38	these	these	DET
ejpam-7067	35	39	trade	trade	NOUN
ejpam-7067	35	40	-	-	PUNCT
ejpam-7067	35	41	offs	off	NOUN
ejpam-7067	35	42	are	be	AUX
ejpam-7067	35	43	formalized	formalize	VERB
ejpam-7067	35	44	and	and	CCONJ
ejpam-7067	35	45	the	the	DET
ejpam-7067	35	46	quasi	quasi	ADJ
ejpam-7067	35	47	-	-	ADJ
ejpam-7067	35	48	consensus	consensus	ADJ
ejpam-7067	35	49	radius	radius	NOUN
ejpam-7067	35	50	is	be	AUX
ejpam-7067	35	51	quantitatively	quantitatively	ADV
ejpam-7067	35	52	characterized	characterize	VERB
ejpam-7067	35	53	.	.	PUNCT
ejpam-7067	36	1	third	third	ADJ
ejpam-7067	36	2	,	,	PUNCT
ejpam-7067	36	3	we	we	PRON
ejpam-7067	36	4	validate	validate	VERB
ejpam-7067	36	5	the	the	DET
ejpam-7067	36	6	approach	approach	NOUN
ejpam-7067	36	7	on	on	ADP
ejpam-7067	36	8	a	a	DET
ejpam-7067	36	9	strongly	strongly	ADV
ejpam-7067	36	10	connected	connect	VERB
ejpam-7067	36	11	directed	direct	VERB
ejpam-7067	36	12	m.	m.	NOUN
ejpam-7067	36	13	donganont	donganont	PROPN
ejpam-7067	36	14	et	et	PROPN
ejpam-7067	36	15	al	al	PROPN
ejpam-7067	36	16	.	.	PUNCT
ejpam-7067	36	17	/	/	SYM
ejpam-7067	36	18	eur	eur	PROPN
ejpam-7067	36	19	.	.	PUNCT
ejpam-7067	37	1	j.	j.	PROPN
ejpam-7067	37	2	pure	pure	PROPN
ejpam-7067	37	3	appl	appl	PROPN
ejpam-7067	37	4	.	.	PROPN
ejpam-7067	37	5	math	math	PROPN
ejpam-7067	37	6	,	,	PUNCT
ejpam-7067	37	7	18	18	NUM
ejpam-7067	37	8	(	(	PUNCT
ejpam-7067	37	9	4	4	NUM
ejpam-7067	37	10	)	)	PUNCT
ejpam-7067	37	11	(	(	PUNCT
ejpam-7067	37	12	2025	2025	NUM
ejpam-7067	37	13	)	)	PUNCT
ejpam-7067	37	14	,	,	PUNCT
ejpam-7067	37	15	7067	7067	NUM
ejpam-7067	37	16	3	3	NUM
ejpam-7067	37	17	of	of	ADP
ejpam-7067	37	18	22	22	NUM
ejpam-7067	37	19	network	network	NOUN
ejpam-7067	37	20	with	with	ADP
ejpam-7067	37	21	10	10	NUM
ejpam-7067	37	22	nodes	node	NOUN
ejpam-7067	37	23	and	and	CCONJ
ejpam-7067	37	24	18	18	NUM
ejpam-7067	37	25	edges	edge	NOUN
ejpam-7067	37	26	,	,	PUNCT
ejpam-7067	37	27	where	where	SCONJ
ejpam-7067	37	28	simulations	simulation	NOUN
ejpam-7067	37	29	corroborate	corroborate	VERB
ejpam-7067	37	30	the	the	DET
ejpam-7067	37	31	theory	theory	NOUN
ejpam-7067	37	32	and	and	CCONJ
ejpam-7067	37	33	expose	expose	VERB
ejpam-7067	37	34	speed	speed	NOUN
ejpam-7067	37	35	–	–	PUNCT
ejpam-7067	37	36	robustness	robustness	NOUN
ejpam-7067	37	37	–	–	PUNCT
ejpam-7067	37	38	accuracy	accuracy	NOUN
ejpam-7067	37	39	trade	trade	NOUN
ejpam-7067	37	40	-	-	PUNCT
ejpam-7067	37	41	offs	off	NOUN
ejpam-7067	37	42	,	,	PUNCT
ejpam-7067	37	43	while	while	SCONJ
ejpam-7067	37	44	the	the	DET
ejpam-7067	37	45	distributed	distribute	VERB
ejpam-7067	37	46	structure	structure	NOUN
ejpam-7067	37	47	scales	scale	VERB
ejpam-7067	37	48	naturally	naturally	ADV
ejpam-7067	37	49	and	and	CCONJ
ejpam-7067	37	50	remains	remain	VERB
ejpam-7067	37	51	compatible	compatible	ADJ
ejpam-7067	37	52	with	with	ADP
ejpam-7067	37	53	hybrid	hybrid	ADJ
ejpam-7067	37	54	-	-	PUNCT
ejpam-7067	37	55	time	time	NOUN
ejpam-7067	37	56	extensions	extension	NOUN
ejpam-7067	37	57	[	[	X
ejpam-7067	37	58	17–19	17–19	NUM
ejpam-7067	37	59	]	]	PUNCT
ejpam-7067	37	60	.	.	PUNCT
ejpam-7067	38	1	the	the	DET
ejpam-7067	38	2	analysis	analysis	NOUN
ejpam-7067	38	3	throughout	throughout	ADP
ejpam-7067	38	4	employs	employ	VERB
ejpam-7067	38	5	lyapunov	lyapunov	NOUN
ejpam-7067	38	6	and	and	CCONJ
ejpam-7067	38	7	invariance	invariance	NOUN
ejpam-7067	38	8	arguments	argument	NOUN
ejpam-7067	38	9	matched	match	VERB
ejpam-7067	38	10	to	to	ADP
ejpam-7067	38	11	metzler	metzler	NOUN
ejpam-7067	38	12	and	and	CCONJ
ejpam-7067	38	13	edge	edge	NOUN
ejpam-7067	38	14	-	-	PUNCT
ejpam-7067	38	15	laplacian	laplacian	ADJ
ejpam-7067	38	16	structure	structure	NOUN
ejpam-7067	38	17	[	[	X
ejpam-7067	38	18	2	2	NUM
ejpam-7067	38	19	–	–	PUNCT
ejpam-7067	38	20	5	5	NUM
ejpam-7067	38	21	,	,	PUNCT
ejpam-7067	38	22	21	21	NUM
ejpam-7067	38	23	,	,	PUNCT
ejpam-7067	38	24	22	22	NUM
ejpam-7067	38	25	]	]	PUNCT
ejpam-7067	38	26	.	.	PUNCT
ejpam-7067	39	1	this	this	DET
ejpam-7067	39	2	study	study	NOUN
ejpam-7067	39	3	complements	complement	VERB
ejpam-7067	39	4	the	the	DET
ejpam-7067	39	5	node	node	NOUN
ejpam-7067	39	6	-	-	PUNCT
ejpam-7067	39	7	based	base	VERB
ejpam-7067	39	8	quasi	quasi	NOUN
ejpam-7067	39	9	-	-	NOUN
ejpam-7067	39	10	consensus	consensus	NOUN
ejpam-7067	39	11	and	and	CCONJ
ejpam-7067	39	12	constrained	constrain	VERB
ejpam-7067	39	13	-	-	PUNCT
ejpam-7067	39	14	control	control	NOUN
ejpam-7067	39	15	literature	literature	NOUN
ejpam-7067	39	16	[	[	X
ejpam-7067	39	17	8–14	8–14	X
ejpam-7067	39	18	]	]	PUNCT
ejpam-7067	39	19	by	by	ADP
ejpam-7067	39	20	moving	move	VERB
ejpam-7067	39	21	the	the	DET
ejpam-7067	39	22	design	design	NOUN
ejpam-7067	39	23	locus	locus	NOUN
ejpam-7067	39	24	to	to	ADP
ejpam-7067	39	25	edges	edge	NOUN
ejpam-7067	39	26	,	,	PUNCT
ejpam-7067	39	27	following	follow	VERB
ejpam-7067	39	28	the	the	DET
ejpam-7067	39	29	expressiveness	expressiveness	NOUN
ejpam-7067	39	30	and	and	CCONJ
ejpam-7067	39	31	performance	performance	NOUN
ejpam-7067	39	32	motivations	motivation	NOUN
ejpam-7067	39	33	in	in	ADP
ejpam-7067	39	34	[	[	X
ejpam-7067	39	35	6	6	NUM
ejpam-7067	39	36	,	,	PUNCT
ejpam-7067	39	37	7	7	NUM
ejpam-7067	39	38	]	]	PUNCT
ejpam-7067	39	39	.	.	PUNCT
ejpam-7067	40	1	relative	relative	ADJ
ejpam-7067	40	2	to	to	ADP
ejpam-7067	40	3	positive	positive	ADJ
ejpam-7067	40	4	/	/	SYM
ejpam-7067	40	5	nonnegative	nonnegative	ADJ
ejpam-7067	40	6	edge	edge	NOUN
ejpam-7067	40	7	consensus	consensus	NOUN
ejpam-7067	40	8	with	with	ADP
ejpam-7067	40	9	constraints	constraint	NOUN
ejpam-7067	40	10	[	[	X
ejpam-7067	40	11	2–5	2–5	NOUN
ejpam-7067	40	12	]	]	PUNCT
ejpam-7067	40	13	,	,	PUNCT
ejpam-7067	40	14	we	we	PRON
ejpam-7067	40	15	explicitly	explicitly	ADV
ejpam-7067	40	16	incorporate	incorporate	VERB
ejpam-7067	40	17	heterogeneous	heterogeneous	ADJ
ejpam-7067	40	18	scaling	scaling	NOUN
ejpam-7067	40	19	and	and	CCONJ
ejpam-7067	40	20	threshold	threshold	NOUN
ejpam-7067	40	21	activation	activation	NOUN
ejpam-7067	40	22	and	and	CCONJ
ejpam-7067	40	23	provide	provide	VERB
ejpam-7067	40	24	unified	unified	ADJ
ejpam-7067	40	25	guarantees	guarantee	NOUN
ejpam-7067	40	26	across	across	ADP
ejpam-7067	40	27	the	the	DET
ejpam-7067	40	28	unsaturated	unsaturated	ADJ
ejpam-7067	40	29	,	,	PUNCT
ejpam-7067	40	30	safe	safe	ADJ
ejpam-7067	40	31	-	-	PUNCT
ejpam-7067	40	32	dispersion	dispersion	NOUN
ejpam-7067	40	33	,	,	PUNCT
ejpam-7067	40	34	and	and	CCONJ
ejpam-7067	40	35	low	low	ADJ
ejpam-7067	40	36	-	-	PUNCT
ejpam-7067	40	37	gain	gain	NOUN
ejpam-7067	40	38	regimes	regime	NOUN
ejpam-7067	40	39	.	.	PUNCT
ejpam-7067	41	1	our	our	PRON
ejpam-7067	41	2	results	result	NOUN
ejpam-7067	41	3	are	be	AUX
ejpam-7067	41	4	also	also	ADV
ejpam-7067	41	5	complementary	complementary	ADJ
ejpam-7067	41	6	to	to	ADP
ejpam-7067	41	7	recent	recent	ADJ
ejpam-7067	41	8	hybrid	hybrid	NOUN
ejpam-7067	41	9	and	and	CCONJ
ejpam-7067	41	10	pulse	pulse	NOUN
ejpam-7067	41	11	-	-	PUNCT
ejpam-7067	41	12	modulated	modulate	VERB
ejpam-7067	41	13	developments	development	NOUN
ejpam-7067	41	14	[	[	X
ejpam-7067	41	15	17–19	17–19	NUM
ejpam-7067	41	16	]	]	PUNCT
ejpam-7067	41	17	,	,	PUNCT
ejpam-7067	41	18	which	which	PRON
ejpam-7067	41	19	emphasize	emphasize	VERB
ejpam-7067	41	20	temporal	temporal	ADJ
ejpam-7067	41	21	heterogeneity	heterogeneity	NOUN
ejpam-7067	41	22	;	;	PUNCT
ejpam-7067	41	23	here	here	ADV
ejpam-7067	41	24	we	we	PRON
ejpam-7067	41	25	focus	focus	VERB
ejpam-7067	41	26	on	on	ADP
ejpam-7067	41	27	continuoustime	continuoustime	ADJ
ejpam-7067	41	28	operation	operation	NOUN
ejpam-7067	41	29	under	under	ADP
ejpam-7067	41	30	actuation	actuation	NOUN
ejpam-7067	41	31	limits	limit	NOUN
ejpam-7067	41	32	while	while	SCONJ
ejpam-7067	41	33	preserving	preserve	VERB
ejpam-7067	41	34	a	a	DET
ejpam-7067	41	35	path	path	NOUN
ejpam-7067	41	36	to	to	ADP
ejpam-7067	41	37	hybrid	hybrid	ADJ
ejpam-7067	41	38	-	-	PUNCT
ejpam-7067	41	39	time	time	NOUN
ejpam-7067	41	40	generalizations	generalization	NOUN
ejpam-7067	41	41	.	.	PUNCT
ejpam-7067	42	1	the	the	DET
ejpam-7067	42	2	scope	scope	NOUN
ejpam-7067	42	3	of	of	ADP
ejpam-7067	42	4	this	this	DET
ejpam-7067	42	5	paper	paper	NOUN
ejpam-7067	42	6	adopts	adopt	VERB
ejpam-7067	42	7	strong	strong	ADJ
ejpam-7067	42	8	connectivity	connectivity	NOUN
ejpam-7067	42	9	and	and	CCONJ
ejpam-7067	42	10	positive	positive	ADJ
ejpam-7067	42	11	scaling	scaling	NOUN
ejpam-7067	42	12	as	as	ADP
ejpam-7067	42	13	standing	stand	VERB
ejpam-7067	42	14	assumptions	assumption	NOUN
ejpam-7067	42	15	;	;	PUNCT
ejpam-7067	42	16	weight	weight	NOUN
ejpam-7067	42	17	balance	balance	NOUN
ejpam-7067	42	18	and	and	CCONJ
ejpam-7067	42	19	switching	switch	VERB
ejpam-7067	42	20	topologies	topology	NOUN
ejpam-7067	42	21	can	can	AUX
ejpam-7067	42	22	be	be	AUX
ejpam-7067	42	23	handled	handle	VERB
ejpam-7067	42	24	under	under	ADP
ejpam-7067	42	25	additional	additional	ADJ
ejpam-7067	42	26	joint	joint	ADJ
ejpam-7067	42	27	-	-	PUNCT
ejpam-7067	42	28	connectivity	connectivity	NOUN
ejpam-7067	42	29	and	and	CCONJ
ejpam-7067	42	30	dwell	dwell	NOUN
ejpam-7067	42	31	-	-	PUNCT
ejpam-7067	42	32	time	time	NOUN
ejpam-7067	42	33	conditions	condition	NOUN
ejpam-7067	42	34	discussed	discuss	VERB
ejpam-7067	42	35	later	later	ADV
ejpam-7067	42	36	.	.	PUNCT
ejpam-7067	43	1	stochastic	stochastic	ADJ
ejpam-7067	43	2	disturbances	disturbance	NOUN
ejpam-7067	43	3	,	,	PUNCT
ejpam-7067	43	4	explicit	explicit	ADJ
ejpam-7067	43	5	delay	delay	NOUN
ejpam-7067	43	6	margins	margin	NOUN
ejpam-7067	43	7	,	,	PUNCT
ejpam-7067	43	8	and	and	CCONJ
ejpam-7067	43	9	fractional	fractional	ADJ
ejpam-7067	43	10	-	-	PUNCT
ejpam-7067	43	11	memory	memory	NOUN
ejpam-7067	43	12	effects	effect	NOUN
ejpam-7067	43	13	are	be	AUX
ejpam-7067	43	14	outside	outside	ADP
ejpam-7067	43	15	our	our	PRON
ejpam-7067	43	16	main	main	ADJ
ejpam-7067	43	17	scope	scope	NOUN
ejpam-7067	43	18	,	,	PUNCT
ejpam-7067	43	19	although	although	SCONJ
ejpam-7067	43	20	the	the	DET
ejpam-7067	43	21	threshold	threshold	NOUN
ejpam-7067	43	22	-	-	PUNCT
ejpam-7067	43	23	based	base	VERB
ejpam-7067	43	24	design	design	NOUN
ejpam-7067	43	25	is	be	AUX
ejpam-7067	43	26	compatible	compatible	ADJ
ejpam-7067	43	27	with	with	ADP
ejpam-7067	43	28	event	event	NOUN
ejpam-7067	43	29	-	-	PUNCT
ejpam-7067	43	30	triggered	trigger	VERB
ejpam-7067	43	31	and	and	CCONJ
ejpam-7067	43	32	hybrid	hybrid	NOUN
ejpam-7067	43	33	-	-	PUNCT
ejpam-7067	43	34	time	time	NOUN
ejpam-7067	43	35	mechanisms	mechanism	NOUN
ejpam-7067	43	36	and	and	CCONJ
ejpam-7067	43	37	is	be	AUX
ejpam-7067	43	38	amenable	amenable	ADJ
ejpam-7067	43	39	to	to	ADP
ejpam-7067	43	40	richer	rich	ADJ
ejpam-7067	43	41	models	model	NOUN
ejpam-7067	43	42	in	in	ADP
ejpam-7067	43	43	future	future	ADJ
ejpam-7067	43	44	work	work	NOUN
ejpam-7067	43	45	.	.	PUNCT
ejpam-7067	44	1	the	the	DET
ejpam-7067	44	2	remainder	remainder	NOUN
ejpam-7067	44	3	of	of	ADP
ejpam-7067	44	4	the	the	DET
ejpam-7067	44	5	paper	paper	NOUN
ejpam-7067	44	6	is	be	AUX
ejpam-7067	44	7	organized	organize	VERB
ejpam-7067	44	8	as	as	SCONJ
ejpam-7067	44	9	follows	follow	VERB
ejpam-7067	44	10	.	.	PUNCT
ejpam-7067	45	1	section	section	NOUN
ejpam-7067	45	2	2	2	NUM
ejpam-7067	45	3	introduces	introduce	NOUN
ejpam-7067	45	4	notation	notation	NOUN
ejpam-7067	45	5	,	,	PUNCT
ejpam-7067	45	6	directed	direct	VERB
ejpam-7067	45	7	graphs	graph	NOUN
ejpam-7067	45	8	and	and	CCONJ
ejpam-7067	45	9	line	line	NOUN
ejpam-7067	45	10	digraphs	digraph	NOUN
ejpam-7067	45	11	,	,	PUNCT
ejpam-7067	45	12	and	and	CCONJ
ejpam-7067	45	13	scaled	scale	VERB
ejpam-7067	45	14	edge	edge	NOUN
ejpam-7067	45	15	consensus	consensus	NOUN
ejpam-7067	45	16	objectives	objective	NOUN
ejpam-7067	45	17	.	.	PUNCT
ejpam-7067	46	1	section	section	NOUN
ejpam-7067	46	2	3	3	NUM
ejpam-7067	46	3	presents	present	VERB
ejpam-7067	46	4	the	the	DET
ejpam-7067	46	5	distributed	distribute	VERB
ejpam-7067	46	6	threshold	threshold	NOUN
ejpam-7067	46	7	-	-	PUNCT
ejpam-7067	46	8	based	base	VERB
ejpam-7067	46	9	protocol	protocol	NOUN
ejpam-7067	46	10	and	and	CCONJ
ejpam-7067	46	11	the	the	DET
ejpam-7067	46	12	saturation	saturation	NOUN
ejpam-7067	46	13	model	model	NOUN
ejpam-7067	46	14	.	.	PUNCT
ejpam-7067	47	1	section	section	NOUN
ejpam-7067	47	2	4	4	NUM
ejpam-7067	47	3	develops	develop	VERB
ejpam-7067	47	4	lyapunov	lyapunov	NOUN
ejpam-7067	47	5	and	and	CCONJ
ejpam-7067	47	6	invariance	invariance	NOUN
ejpam-7067	47	7	analyses	analysis	NOUN
ejpam-7067	47	8	for	for	ADP
ejpam-7067	47	9	the	the	DET
ejpam-7067	47	10	three	three	NUM
ejpam-7067	47	11	operating	operate	VERB
ejpam-7067	47	12	regimes	regime	NOUN
ejpam-7067	47	13	.	.	PUNCT
ejpam-7067	48	1	section	section	NOUN
ejpam-7067	48	2	5	5	NUM
ejpam-7067	48	3	reports	report	VERB
ejpam-7067	48	4	simulations	simulation	NOUN
ejpam-7067	48	5	highlighting	highlight	VERB
ejpam-7067	48	6	convergence	convergence	NOUN
ejpam-7067	48	7	speed	speed	NOUN
ejpam-7067	48	8	,	,	PUNCT
ejpam-7067	48	9	robustness	robustness	NOUN
ejpam-7067	48	10	to	to	ADP
ejpam-7067	48	11	saturation	saturation	NOUN
ejpam-7067	48	12	,	,	PUNCT
ejpam-7067	48	13	and	and	CCONJ
ejpam-7067	48	14	accuracy	accuracy	NOUN
ejpam-7067	48	15	tradeoffs	tradeoff	NOUN
ejpam-7067	48	16	.	.	PUNCT
ejpam-7067	49	1	section	section	NOUN
ejpam-7067	49	2	6	6	NUM
ejpam-7067	49	3	concludes	conclude	VERB
ejpam-7067	49	4	and	and	CCONJ
ejpam-7067	49	5	outlines	outline	VERB
ejpam-7067	49	6	extensions	extension	NOUN
ejpam-7067	49	7	to	to	ADP
ejpam-7067	49	8	switching	switch	VERB
ejpam-7067	49	9	graphs	graph	NOUN
ejpam-7067	49	10	,	,	PUNCT
ejpam-7067	49	11	event	event	NOUN
ejpam-7067	49	12	-	-	PUNCT
ejpam-7067	49	13	triggered	trigger	VERB
ejpam-7067	49	14	communication	communication	NOUN
ejpam-7067	49	15	,	,	PUNCT
ejpam-7067	49	16	and	and	CCONJ
ejpam-7067	49	17	hybrid	hybrid	NOUN
ejpam-7067	49	18	-	-	PUNCT
ejpam-7067	49	19	time	time	NOUN
ejpam-7067	49	20	operation	operation	NOUN
ejpam-7067	49	21	.	.	PUNCT
ejpam-7067	50	1	2	2	X
ejpam-7067	50	2	.	.	NUM
ejpam-7067	50	3	preliminaries	preliminary	NOUN
ejpam-7067	50	4	and	and	CCONJ
ejpam-7067	50	5	problem	problem	NOUN
ejpam-7067	50	6	formulation	formulation	NOUN
ejpam-7067	50	7	mathematical	mathematical	ADJ
ejpam-7067	50	8	notation	notation	NOUN
ejpam-7067	50	9	and	and	CCONJ
ejpam-7067	50	10	basic	basic	ADJ
ejpam-7067	50	11	concepts	concept	NOUN
ejpam-7067	50	12	let	let	VERB
ejpam-7067	50	13	r	r	NOUN
ejpam-7067	50	14	denote	denote	VERB
ejpam-7067	50	15	the	the	DET
ejpam-7067	50	16	field	field	NOUN
ejpam-7067	50	17	of	of	ADP
ejpam-7067	50	18	real	real	ADJ
ejpam-7067	50	19	numbers	number	NOUN
ejpam-7067	50	20	;	;	PUNCT
ejpam-7067	50	21	rn	rn	PROPN
ejpam-7067	50	22	and	and	CCONJ
ejpam-7067	50	23	rn×n	rn×n	PROPN
ejpam-7067	50	24	denote	denote	NOUN
ejpam-7067	50	25	,	,	PUNCT
ejpam-7067	50	26	respectively	respectively	ADV
ejpam-7067	50	27	,	,	PUNCT
ejpam-7067	50	28	the	the	DET
ejpam-7067	50	29	spaces	space	NOUN
ejpam-7067	50	30	of	of	ADP
ejpam-7067	50	31	real	real	ADJ
ejpam-7067	50	32	column	column	NOUN
ejpam-7067	50	33	vectors	vector	NOUN
ejpam-7067	50	34	and	and	CCONJ
ejpam-7067	50	35	real	real	ADJ
ejpam-7067	50	36	square	square	ADJ
ejpam-7067	50	37	matrices	matrix	NOUN
ejpam-7067	50	38	of	of	ADP
ejpam-7067	50	39	dimension	dimension	NOUN
ejpam-7067	50	40	n	n	ADV
ejpam-7067	50	41	.	.	PUNCT
ejpam-7067	51	1	for	for	ADP
ejpam-7067	51	2	x	x	PROPN
ejpam-7067	51	3	∈	∈	PROPN
ejpam-7067	51	4	rn	rn	PROPN
ejpam-7067	51	5	,	,	PUNCT
ejpam-7067	51	6	∥x∥2	∥x∥2	NOUN
ejpam-7067	51	7	denotes	denote	VERB
ejpam-7067	51	8	the	the	DET
ejpam-7067	51	9	euclidean	euclidean	ADJ
ejpam-7067	51	10	norm	norm	NOUN
ejpam-7067	51	11	.	.	PUNCT
ejpam-7067	52	1	the	the	DET
ejpam-7067	52	2	vectors	vector	NOUN
ejpam-7067	52	3	1n	1n	PROPN
ejpam-7067	52	4	and	and	CCONJ
ejpam-7067	52	5	0n	0n	NUM
ejpam-7067	52	6	are	be	AUX
ejpam-7067	52	7	the	the	DET
ejpam-7067	52	8	all	all	DET
ejpam-7067	52	9	-	-	PUNCT
ejpam-7067	52	10	ones	one	NOUN
ejpam-7067	52	11	and	and	CCONJ
ejpam-7067	52	12	all	all	DET
ejpam-7067	52	13	-	-	PUNCT
ejpam-7067	52	14	zeros	zero	NOUN
ejpam-7067	52	15	vectors	vector	NOUN
ejpam-7067	52	16	of	of	ADP
ejpam-7067	52	17	dimension	dimension	NOUN
ejpam-7067	52	18	n	n	CCONJ
ejpam-7067	52	19	;	;	PUNCT
ejpam-7067	52	20	in	in	SCONJ
ejpam-7067	52	21	is	be	AUX
ejpam-7067	52	22	the	the	DET
ejpam-7067	52	23	n	n	NUM
ejpam-7067	52	24	×	×	NOUN
ejpam-7067	52	25	n	n	PRON
ejpam-7067	52	26	identity	identity	NOUN
ejpam-7067	52	27	.	.	PUNCT
ejpam-7067	53	1	a	a	DET
ejpam-7067	53	2	matrix	matrix	NOUN
ejpam-7067	53	3	a	a	DET
ejpam-7067	53	4	∈	∈	ADJ
ejpam-7067	53	5	rn×n	rn×n	NOUN
ejpam-7067	53	6	is	be	AUX
ejpam-7067	53	7	nonnegative	nonnegative	ADJ
ejpam-7067	53	8	,	,	PUNCT
ejpam-7067	53	9	written	write	VERB
ejpam-7067	53	10	a	a	DET
ejpam-7067	53	11	≥	≥	NOUN
ejpam-7067	53	12	0	0	NUM
ejpam-7067	53	13	,	,	PUNCT
ejpam-7067	53	14	if	if	SCONJ
ejpam-7067	53	15	all	all	DET
ejpam-7067	53	16	entries	entry	NOUN
ejpam-7067	53	17	are	be	AUX
ejpam-7067	53	18	nonnegative	nonnegative	ADJ
ejpam-7067	53	19	;	;	PUNCT
ejpam-7067	53	20	it	it	PRON
ejpam-7067	53	21	is	be	AUX
ejpam-7067	53	22	metzler	metzler	NOUN
ejpam-7067	53	23	if	if	SCONJ
ejpam-7067	53	24	all	all	DET
ejpam-7067	53	25	off	off	ADP
ejpam-7067	53	26	-	-	PUNCT
ejpam-7067	53	27	diagonal	diagonal	ADJ
ejpam-7067	53	28	entries	entry	NOUN
ejpam-7067	53	29	are	be	AUX
ejpam-7067	53	30	nonnegative	nonnegative	ADJ
ejpam-7067	53	31	.	.	PUNCT
ejpam-7067	54	1	a	a	DET
ejpam-7067	54	2	matrix	matrix	NOUN
ejpam-7067	54	3	is	be	AUX
ejpam-7067	54	4	row	row	NOUN
ejpam-7067	54	5	-	-	PUNCT
ejpam-7067	54	6	stochastic	stochastic	NOUN
ejpam-7067	54	7	if	if	SCONJ
ejpam-7067	54	8	a	a	DET
ejpam-7067	54	9	≥	≥	NOUN
ejpam-7067	54	10	0	0	NUM
ejpam-7067	54	11	and	and	CCONJ
ejpam-7067	54	12	a1n	a1n	PRON
ejpam-7067	54	13	=	=	X
ejpam-7067	54	14	1n	1n	NUM
ejpam-7067	54	15	.	.	PUNCT
ejpam-7067	55	1	to	to	PART
ejpam-7067	55	2	improve	improve	VERB
ejpam-7067	55	3	readability	readability	NOUN
ejpam-7067	55	4	,	,	PUNCT
ejpam-7067	55	5	we	we	PRON
ejpam-7067	55	6	collect	collect	VERB
ejpam-7067	55	7	recurrent	recurrent	ADJ
ejpam-7067	55	8	symbols	symbol	NOUN
ejpam-7067	55	9	in	in	ADP
ejpam-7067	55	10	a	a	DET
ejpam-7067	55	11	compact	compact	ADJ
ejpam-7067	55	12	notation	notation	NOUN
ejpam-7067	55	13	map	map	NOUN
ejpam-7067	55	14	:	:	PUNCT
ejpam-7067	55	15	m.	m.	NOUN
ejpam-7067	55	16	donganont	donganont	PROPN
ejpam-7067	55	17	et	et	PROPN
ejpam-7067	55	18	al	al	PROPN
ejpam-7067	55	19	.	.	PUNCT
ejpam-7067	55	20	/	/	SYM
ejpam-7067	55	21	eur	eur	PROPN
ejpam-7067	55	22	.	.	PUNCT
ejpam-7067	56	1	j.	j.	PROPN
ejpam-7067	56	2	pure	pure	PROPN
ejpam-7067	56	3	appl	appl	PROPN
ejpam-7067	56	4	.	.	PROPN
ejpam-7067	56	5	math	math	PROPN
ejpam-7067	56	6	,	,	PUNCT
ejpam-7067	56	7	18	18	NUM
ejpam-7067	56	8	(	(	PUNCT
ejpam-7067	56	9	4	4	NUM
ejpam-7067	56	10	)	)	PUNCT
ejpam-7067	56	11	(	(	PUNCT
ejpam-7067	56	12	2025	2025	NUM
ejpam-7067	56	13	)	)	PUNCT
ejpam-7067	56	14	,	,	PUNCT
ejpam-7067	56	15	7067	7067	NUM
ejpam-7067	56	16	4	4	NUM
ejpam-7067	56	17	of	of	ADP
ejpam-7067	56	18	22	22	NUM
ejpam-7067	56	19	symbol	symbol	NOUN
ejpam-7067	56	20	meaning	mean	VERB
ejpam-7067	56	21	g	g	PROPN
ejpam-7067	56	22	=	=	SYM
ejpam-7067	56	23	(	(	PUNCT
ejpam-7067	56	24	v	v	NOUN
ejpam-7067	56	25	,	,	PUNCT
ejpam-7067	56	26	e	e	NOUN
ejpam-7067	56	27	)	)	PUNCT
ejpam-7067	56	28	directed	direct	VERB
ejpam-7067	56	29	communication	communication	NOUN
ejpam-7067	56	30	graph	graph	NOUN
ejpam-7067	56	31	(	(	PUNCT
ejpam-7067	56	32	digraph	digraph	NOUN
ejpam-7067	56	33	)	)	PUNCT
ejpam-7067	56	34	,	,	PUNCT
ejpam-7067	56	35	|v|	|v|	NOUN
ejpam-7067	56	36	=	=	SYM
ejpam-7067	56	37	n	n	NOUN
ejpam-7067	56	38	,	,	PUNCT
ejpam-7067	56	39	|e|	|e|	PRON
ejpam-7067	56	40	=	=	PUNCT
ejpam-7067	56	41	m	m	PROPN
ejpam-7067	56	42	l(g	l(g	PROPN
ejpam-7067	56	43	)	)	PUNCT
ejpam-7067	56	44	line	line	NOUN
ejpam-7067	56	45	digraph	digraph	VERB
ejpam-7067	56	46	whose	whose	DET
ejpam-7067	56	47	nodes	node	NOUN
ejpam-7067	56	48	index	index	NOUN
ejpam-7067	56	49	edges	edge	NOUN
ejpam-7067	56	50	of	of	ADP
ejpam-7067	56	51	g	g	PROPN
ejpam-7067	56	52	a	a	DET
ejpam-7067	56	53	∈	∈	ADJ
ejpam-7067	56	54	rn×n	rn×n	ADJ
ejpam-7067	56	55	adjacency	adjacency	NOUN
ejpam-7067	56	56	of	of	ADP
ejpam-7067	56	57	g	g	PROPN
ejpam-7067	56	58	,	,	PUNCT
ejpam-7067	56	59	(	(	PUNCT
ejpam-7067	56	60	i	i	PROPN
ejpam-7067	56	61	,	,	PUNCT
ejpam-7067	56	62	j	j	PROPN
ejpam-7067	56	63	)	)	PUNCT
ejpam-7067	56	64	∈	∈	PROPN
ejpam-7067	56	65	e	e	X
ejpam-7067	56	66	⇐	⇐	ADJ
ejpam-7067	56	67	⇒	⇒	PROPN
ejpam-7067	56	68	aij	aij	PROPN
ejpam-7067	56	69	=	=	SYM
ejpam-7067	56	70	1	1	NUM
ejpam-7067	56	71	b	b	PROPN
ejpam-7067	56	72	∈	∈	PROPN
ejpam-7067	56	73	rn×m	rn×m	NOUN
ejpam-7067	56	74	incidence	incidence	NOUN
ejpam-7067	56	75	matrix	matrix	NOUN
ejpam-7067	56	76	of	of	ADP
ejpam-7067	56	77	g	g	PROPN
ejpam-7067	56	78	(	(	PUNCT
ejpam-7067	56	79	tail	tail	NOUN
ejpam-7067	56	80	/	/	SYM
ejpam-7067	56	81	head	head	NOUN
ejpam-7067	56	82	convention	convention	NOUN
ejpam-7067	56	83	fixed	fix	VERB
ejpam-7067	56	84	below	below	ADV
ejpam-7067	56	85	)	)	PUNCT
ejpam-7067	56	86	le	le	PROPN
ejpam-7067	57	1	∈	∈	PROPN
ejpam-7067	57	2	rm×m	rm×m	NOUN
ejpam-7067	57	3	edge	edge	NOUN
ejpam-7067	57	4	laplacian	laplacian	NOUN
ejpam-7067	57	5	(	(	PUNCT
ejpam-7067	57	6	operator	operator	NOUN
ejpam-7067	57	7	on	on	ADP
ejpam-7067	57	8	l(g	l(g	NOUN
ejpam-7067	57	9	)	)	PUNCT
ejpam-7067	57	10	)	)	PUNCT
ejpam-7067	58	1	x	x	SYM
ejpam-7067	58	2	∈	∈	PROPN
ejpam-7067	58	3	rm	rm	PROPN
ejpam-7067	58	4	edge	edge	PROPN
ejpam-7067	58	5	state	state	NOUN
ejpam-7067	58	6	vector	vector	NOUN
ejpam-7067	58	7	with	with	ADP
ejpam-7067	58	8	entries	entry	NOUN
ejpam-7067	58	9	xek	xek	INTJ
ejpam-7067	58	10	,	,	PUNCT
ejpam-7067	58	11	ek	ek	PROPN
ejpam-7067	58	12	∈	∈	PROPN
ejpam-7067	58	13	e	e	X
ejpam-7067	58	14	ds	ds	ADJ
ejpam-7067	58	15	=	=	SYM
ejpam-7067	58	16	diag(se1	diag(se1	NOUN
ejpam-7067	58	17	,	,	PUNCT
ejpam-7067	58	18	.	.	PUNCT
ejpam-7067	58	19	.	.	PUNCT
ejpam-7067	58	20	.	.	PUNCT
ejpam-7067	59	1	,	,	PUNCT
ejpam-7067	59	2	sem	sem	PROPN
ejpam-7067	59	3	)	)	PUNCT
ejpam-7067	59	4	≻	≻	NOUN
ejpam-7067	59	5	0	0	NUM
ejpam-7067	59	6	heterogeneous	heterogeneous	ADJ
ejpam-7067	59	7	edge	edge	NOUN
ejpam-7067	59	8	scaling	scale	VERB
ejpam-7067	59	9	z	z	NOUN
ejpam-7067	60	1	=	=	PUNCT
ejpam-7067	60	2	d−1	d−1	PROPN
ejpam-7067	60	3	s	s	PRON
ejpam-7067	60	4	x	x	NUM
ejpam-7067	60	5	normalized	normalize	VERB
ejpam-7067	60	6	edge	edge	NOUN
ejpam-7067	60	7	coordinates	coordinate	NOUN
ejpam-7067	60	8	α	α	DET
ejpam-7067	60	9	≥	≥	NUM
ejpam-7067	60	10	0	0	NUM
ejpam-7067	60	11	disagreement	disagreement	ADJ
ejpam-7067	60	12	threshold	threshold	NOUN
ejpam-7067	60	13	for	for	ADP
ejpam-7067	60	14	activation	activation	NOUN
ejpam-7067	60	15	ω	ω	X
ejpam-7067	60	16	>	>	SYM
ejpam-7067	60	17	0	0	NUM
ejpam-7067	60	18	actuation	actuation	NOUN
ejpam-7067	60	19	saturation	saturation	NOUN
ejpam-7067	60	20	level	level	NOUN
ejpam-7067	60	21	γ	γ	X
ejpam-7067	60	22	>	>	X
ejpam-7067	60	23	0	0	PUNCT
ejpam-7067	60	24	(	(	PUNCT
ejpam-7067	60	25	and	and	CCONJ
ejpam-7067	60	26	ε	ε	PROPN
ejpam-7067	60	27	∈	∈	PROPN
ejpam-7067	60	28	(	(	PUNCT
ejpam-7067	60	29	0	0	NUM
ejpam-7067	60	30	,	,	PUNCT
ejpam-7067	60	31	1	1	NUM
ejpam-7067	60	32	]	]	PUNCT
ejpam-7067	60	33	)	)	PUNCT
ejpam-7067	60	34	control	control	NOUN
ejpam-7067	60	35	gain	gain	NOUN
ejpam-7067	60	36	(	(	PUNCT
ejpam-7067	60	37	and	and	CCONJ
ejpam-7067	60	38	low	low	ADJ
ejpam-7067	60	39	-	-	PUNCT
ejpam-7067	60	40	gain	gain	NOUN
ejpam-7067	60	41	factor	factor	NOUN
ejpam-7067	60	42	)	)	PUNCT
ejpam-7067	60	43	directed	direct	VERB
ejpam-7067	60	44	graphs	graph	NOUN
ejpam-7067	60	45	,	,	PUNCT
ejpam-7067	60	46	line	line	NOUN
ejpam-7067	60	47	digraph	digraph	NOUN
ejpam-7067	60	48	,	,	PUNCT
ejpam-7067	60	49	and	and	CCONJ
ejpam-7067	60	50	edge	edge	NOUN
ejpam-7067	60	51	operators	operator	NOUN
ejpam-7067	60	52	we	we	PRON
ejpam-7067	60	53	consider	consider	VERB
ejpam-7067	60	54	a	a	DET
ejpam-7067	60	55	strongly	strongly	ADV
ejpam-7067	60	56	connected	connect	VERB
ejpam-7067	60	57	digraph	digraph	NOUN
ejpam-7067	60	58	g	g	NOUN
ejpam-7067	60	59	=	=	SYM
ejpam-7067	60	60	(	(	PUNCT
ejpam-7067	60	61	v	v	NOUN
ejpam-7067	60	62	,	,	PUNCT
ejpam-7067	60	63	e	e	NOUN
ejpam-7067	60	64	)	)	PUNCT
ejpam-7067	60	65	with	with	ADP
ejpam-7067	60	66	nodes	node	NOUN
ejpam-7067	60	67	v	v	NOUN
ejpam-7067	60	68	=	=	SYM
ejpam-7067	60	69	{	{	PUNCT
ejpam-7067	60	70	1	1	NUM
ejpam-7067	60	71	,	,	PUNCT
ejpam-7067	60	72	.	.	PUNCT
ejpam-7067	60	73	.	.	PUNCT
ejpam-7067	61	1	.	.	PUNCT
ejpam-7067	62	1	,	,	PUNCT
ejpam-7067	62	2	n	n	CCONJ
ejpam-7067	62	3	}	}	PUNCT
ejpam-7067	62	4	and	and	CCONJ
ejpam-7067	62	5	directed	direct	VERB
ejpam-7067	62	6	edges	edge	NOUN
ejpam-7067	62	7	e	e	NOUN
ejpam-7067	62	8	⊆	⊆	NUM
ejpam-7067	62	9	v	v	ADP
ejpam-7067	62	10	×	×	NOUN
ejpam-7067	62	11	v	v	NOUN
ejpam-7067	62	12	.	.	PUNCT
ejpam-7067	63	1	a	a	DET
ejpam-7067	63	2	directed	direct	VERB
ejpam-7067	63	3	edge	edge	NOUN
ejpam-7067	63	4	from	from	ADP
ejpam-7067	63	5	j	j	PROPN
ejpam-7067	63	6	to	to	ADP
ejpam-7067	63	7	i	i	PRON
ejpam-7067	63	8	is	be	AUX
ejpam-7067	63	9	denoted	denote	VERB
ejpam-7067	63	10	(	(	PUNCT
ejpam-7067	63	11	i	i	PROPN
ejpam-7067	63	12	,	,	PUNCT
ejpam-7067	63	13	j	j	PROPN
ejpam-7067	63	14	)	)	PUNCT
ejpam-7067	63	15	∈	∈	PROPN
ejpam-7067	63	16	e	e	X
ejpam-7067	63	17	.	.	PUNCT
ejpam-7067	64	1	the	the	DET
ejpam-7067	64	2	inneighborhood	inneighborhood	NOUN
ejpam-7067	64	3	of	of	ADP
ejpam-7067	64	4	i	i	PRON
ejpam-7067	64	5	is	be	AUX
ejpam-7067	64	6	nin(i	nin(i	PROPN
ejpam-7067	64	7	)	)	PUNCT
ejpam-7067	64	8	:	:	PUNCT
ejpam-7067	65	1	=	=	SYM
ejpam-7067	65	2	{	{	PUNCT
ejpam-7067	65	3	j	j	NOUN
ejpam-7067	65	4	:	:	PUNCT
ejpam-7067	65	5	(	(	PUNCT
ejpam-7067	65	6	i	i	PROPN
ejpam-7067	65	7	,	,	PUNCT
ejpam-7067	65	8	j	j	PROPN
ejpam-7067	65	9	)	)	PUNCT
ejpam-7067	65	10	∈	∈	PROPN
ejpam-7067	65	11	e	e	X
ejpam-7067	65	12	}	}	PUNCT
ejpam-7067	65	13	.	.	PUNCT
ejpam-7067	66	1	we	we	PRON
ejpam-7067	66	2	adopt	adopt	VERB
ejpam-7067	66	3	a	a	DET
ejpam-7067	66	4	fixed	fix	VERB
ejpam-7067	66	5	tail	tail	NOUN
ejpam-7067	66	6	/	/	SYM
ejpam-7067	66	7	head	head	NOUN
ejpam-7067	66	8	convention	convention	NOUN
ejpam-7067	66	9	for	for	ADP
ejpam-7067	66	10	the	the	DET
ejpam-7067	66	11	incidence	incidence	NOUN
ejpam-7067	66	12	matrix	matrix	NOUN
ejpam-7067	66	13	b	b	NOUN
ejpam-7067	67	1	=	=	SYM
ejpam-7067	68	1	[	[	X
ejpam-7067	68	2	bik	bik	X
ejpam-7067	68	3	]	]	X
ejpam-7067	68	4	,	,	PUNCT
ejpam-7067	68	5	where	where	SCONJ
ejpam-7067	68	6	bik	bik	PROPN
ejpam-7067	68	7	=	=	PUNCT
ejpam-7067	68	8	+1	+1	PROPN
ejpam-7067	68	9	if	if	SCONJ
ejpam-7067	68	10	node	node	ADJ
ejpam-7067	68	11	i	i	PRON
ejpam-7067	68	12	is	be	AUX
ejpam-7067	68	13	the	the	DET
ejpam-7067	68	14	head	head	NOUN
ejpam-7067	68	15	of	of	ADP
ejpam-7067	68	16	edge	edge	NOUN
ejpam-7067	68	17	ek	ek	PROPN
ejpam-7067	68	18	,	,	PUNCT
ejpam-7067	68	19	bik	bik	PROPN
ejpam-7067	68	20	=	=	PUNCT
ejpam-7067	68	21	−1	−1	NOUN
ejpam-7067	68	22	if	if	SCONJ
ejpam-7067	68	23	node	node	NOUN
ejpam-7067	68	24	i	i	PRON
ejpam-7067	68	25	is	be	AUX
ejpam-7067	68	26	the	the	DET
ejpam-7067	68	27	tail	tail	NOUN
ejpam-7067	68	28	of	of	ADP
ejpam-7067	68	29	ek	ek	PROPN
ejpam-7067	68	30	,	,	PUNCT
ejpam-7067	68	31	and	and	CCONJ
ejpam-7067	69	1	bik	bik	PROPN
ejpam-7067	69	2	=	=	SYM
ejpam-7067	69	3	0	0	PUNCT
ejpam-7067	70	1	otherwise	otherwise	ADV
ejpam-7067	70	2	.	.	PUNCT
ejpam-7067	71	1	the	the	DET
ejpam-7067	71	2	line	line	NOUN
ejpam-7067	71	3	digraph	digraph	NOUN
ejpam-7067	71	4	l(g	l(g	NOUN
ejpam-7067	71	5	)	)	PUNCT
ejpam-7067	71	6	=	=	PUNCT
ejpam-7067	71	7	(	(	PUNCT
ejpam-7067	71	8	ve	ve	PROPN
ejpam-7067	71	9	,	,	PUNCT
ejpam-7067	71	10	ee	ee	PROPN
ejpam-7067	71	11	)	)	PUNCT
ejpam-7067	71	12	is	be	AUX
ejpam-7067	71	13	defined	define	VERB
ejpam-7067	71	14	by	by	ADP
ejpam-7067	71	15	ve	ve	NOUN
ejpam-7067	71	16	=	=	SYM
ejpam-7067	71	17	e	e	NOUN
ejpam-7067	71	18	;	;	PUNCT
ejpam-7067	71	19	there	there	PRON
ejpam-7067	71	20	is	be	VERB
ejpam-7067	71	21	an	an	DET
ejpam-7067	71	22	arc	arc	NOUN
ejpam-7067	71	23	from	from	ADP
ejpam-7067	71	24	ek	ek	NOUN
ejpam-7067	71	25	=	=	SYM
ejpam-7067	71	26	(	(	PUNCT
ejpam-7067	71	27	j	j	PROPN
ejpam-7067	71	28	,	,	PUNCT
ejpam-7067	71	29	k	k	NOUN
ejpam-7067	71	30	)	)	PUNCT
ejpam-7067	71	31	to	to	ADP
ejpam-7067	71	32	eℓ	eℓ	NOUN
ejpam-7067	71	33	=	=	SYM
ejpam-7067	71	34	(	(	PUNCT
ejpam-7067	71	35	i	i	PROPN
ejpam-7067	71	36	,	,	PUNCT
ejpam-7067	71	37	j	j	PROPN
ejpam-7067	71	38	)	)	PUNCT
ejpam-7067	71	39	if	if	SCONJ
ejpam-7067	71	40	and	and	CCONJ
ejpam-7067	71	41	only	only	ADV
ejpam-7067	71	42	if	if	SCONJ
ejpam-7067	71	43	the	the	DET
ejpam-7067	71	44	head	head	NOUN
ejpam-7067	71	45	of	of	ADP
ejpam-7067	71	46	ek	ek	PROPN
ejpam-7067	71	47	coincides	coincide	VERB
ejpam-7067	71	48	with	with	ADP
ejpam-7067	71	49	the	the	DET
ejpam-7067	71	50	tail	tail	NOUN
ejpam-7067	71	51	of	of	ADP
ejpam-7067	71	52	eℓ	eℓ	NOUN
ejpam-7067	71	53	(	(	PUNCT
ejpam-7067	71	54	i.e.	i.e.	X
ejpam-7067	71	55	,	,	PUNCT
ejpam-7067	71	56	k	k	PROPN
ejpam-7067	71	57	=	=	PUNCT
ejpam-7067	71	58	i	i	PROPN
ejpam-7067	71	59	)	)	PUNCT
ejpam-7067	71	60	.	.	PUNCT
ejpam-7067	72	1	this	this	DET
ejpam-7067	72	2	construction	construction	NOUN
ejpam-7067	72	3	captures	capture	VERB
ejpam-7067	72	4	edge	edge	NOUN
ejpam-7067	72	5	-	-	PUNCT
ejpam-7067	72	6	to	to	ADP
ejpam-7067	72	7	-	-	PUNCT
ejpam-7067	72	8	edge	edge	NOUN
ejpam-7067	72	9	interactions	interaction	NOUN
ejpam-7067	72	10	and	and	CCONJ
ejpam-7067	72	11	induces	induce	VERB
ejpam-7067	72	12	linear	linear	PROPN
ejpam-7067	72	13	operators	operator	NOUN
ejpam-7067	72	14	on	on	ADP
ejpam-7067	72	15	rm	rm	PROPN
ejpam-7067	72	16	.	.	PUNCT
ejpam-7067	73	1	throughout	throughout	ADP
ejpam-7067	73	2	,	,	PUNCT
ejpam-7067	73	3	le	le	X
ejpam-7067	73	4	denotes	denote	VERB
ejpam-7067	73	5	an	an	DET
ejpam-7067	73	6	edge	edge	NOUN
ejpam-7067	73	7	laplacian	laplacian	ADJ
ejpam-7067	73	8	consistent	consistent	ADJ
ejpam-7067	73	9	with	with	ADP
ejpam-7067	73	10	l(g	l(g	NOUN
ejpam-7067	73	11	)	)	PUNCT
ejpam-7067	73	12	and	and	CCONJ
ejpam-7067	73	13	the	the	DET
ejpam-7067	73	14	choice	choice	NOUN
ejpam-7067	73	15	of	of	ADP
ejpam-7067	73	16	interaction	interaction	NOUN
ejpam-7067	73	17	weights	weight	NOUN
ejpam-7067	73	18	;	;	PUNCT
ejpam-7067	73	19	its	its	PRON
ejpam-7067	73	20	off	off	ADV
ejpam-7067	73	21	-	-	PUNCT
ejpam-7067	73	22	diagonal	diagonal	ADJ
ejpam-7067	73	23	entries	entry	NOUN
ejpam-7067	73	24	are	be	AUX
ejpam-7067	73	25	nonnegative	nonnegative	ADJ
ejpam-7067	73	26	(	(	PUNCT
ejpam-7067	73	27	metzler	metzler	NOUN
ejpam-7067	73	28	)	)	PUNCT
ejpam-7067	73	29	and	and	CCONJ
ejpam-7067	73	30	row	row	NOUN
ejpam-7067	73	31	sums	sum	NOUN
ejpam-7067	73	32	are	be	AUX
ejpam-7067	73	33	zero	zero	NUM
ejpam-7067	73	34	on	on	ADP
ejpam-7067	73	35	the	the	DET
ejpam-7067	73	36	active	active	ADJ
ejpam-7067	73	37	interaction	interaction	NOUN
ejpam-7067	73	38	graph	graph	NOUN
ejpam-7067	73	39	.	.	PUNCT
ejpam-7067	74	1	the	the	DET
ejpam-7067	74	2	symmetric	symmetric	ADJ
ejpam-7067	74	3	part	part	NOUN
ejpam-7067	74	4	of	of	ADP
ejpam-7067	74	5	the	the	DET
ejpam-7067	74	6	active	active	ADJ
ejpam-7067	74	7	operator	operator	NOUN
ejpam-7067	74	8	is	be	AUX
ejpam-7067	74	9	positive	positive	ADJ
ejpam-7067	74	10	semidefinite	semidefinite	NOUN
ejpam-7067	74	11	,	,	PUNCT
ejpam-7067	74	12	and	and	CCONJ
ejpam-7067	74	13	kerle	kerle	NOUN
ejpam-7067	74	14	=	=	SYM
ejpam-7067	74	15	span{1	span{1	NOUN
ejpam-7067	74	16	m	m	PROPN
ejpam-7067	74	17	}	}	PUNCT
ejpam-7067	74	18	on	on	ADP
ejpam-7067	74	19	each	each	DET
ejpam-7067	74	20	strongly	strongly	ADV
ejpam-7067	74	21	connected	connect	VERB
ejpam-7067	74	22	active	active	ADJ
ejpam-7067	74	23	component	component	NOUN
ejpam-7067	74	24	.	.	PUNCT
ejpam-7067	75	1	these	these	DET
ejpam-7067	75	2	properties	property	NOUN
ejpam-7067	75	3	will	will	AUX
ejpam-7067	75	4	be	be	AUX
ejpam-7067	75	5	used	use	VERB
ejpam-7067	75	6	to	to	PART
ejpam-7067	75	7	construct	construct	VERB
ejpam-7067	75	8	lyapunov	lyapunov	NOUN
ejpam-7067	75	9	functions	function	NOUN
ejpam-7067	75	10	and	and	CCONJ
ejpam-7067	75	11	to	to	PART
ejpam-7067	75	12	apply	apply	VERB
ejpam-7067	75	13	invariance	invariance	NOUN
ejpam-7067	75	14	principles	principle	NOUN
ejpam-7067	75	15	.	.	PUNCT
ejpam-7067	76	1	assumption	assumption	NOUN
ejpam-7067	76	2	1	1	NUM
ejpam-7067	76	3	(	(	PUNCT
ejpam-7067	76	4	standing	stand	VERB
ejpam-7067	76	5	connectivity	connectivity	NOUN
ejpam-7067	76	6	)	)	PUNCT
ejpam-7067	76	7	.	.	PUNCT
ejpam-7067	77	1	the	the	DET
ejpam-7067	77	2	base	base	NOUN
ejpam-7067	77	3	digraph	digraph	NOUN
ejpam-7067	77	4	g	g	PROPN
ejpam-7067	77	5	is	be	AUX
ejpam-7067	77	6	strongly	strongly	ADV
ejpam-7067	77	7	connected	connect	VERB
ejpam-7067	77	8	.	.	PUNCT
ejpam-7067	78	1	for	for	ADP
ejpam-7067	78	2	time	time	NOUN
ejpam-7067	78	3	-	-	PUNCT
ejpam-7067	78	4	varying	vary	VERB
ejpam-7067	78	5	activation	activation	NOUN
ejpam-7067	78	6	patterns	pattern	NOUN
ejpam-7067	78	7	(	(	PUNCT
ejpam-7067	78	8	due	due	ADP
ejpam-7067	78	9	to	to	ADP
ejpam-7067	78	10	thresholding	thresholding	NOUN
ejpam-7067	78	11	)	)	PUNCT
ejpam-7067	78	12	,	,	PUNCT
ejpam-7067	78	13	the	the	DET
ejpam-7067	78	14	induced	induce	VERB
ejpam-7067	78	15	active	active	ADJ
ejpam-7067	78	16	line	line	NOUN
ejpam-7067	78	17	-	-	PUNCT
ejpam-7067	78	18	digraph	digraph	NOUN
ejpam-7067	78	19	is	be	AUX
ejpam-7067	78	20	jointly	jointly	ADV
ejpam-7067	78	21	strongly	strongly	ADV
ejpam-7067	78	22	connected	connect	VERB
ejpam-7067	78	23	with	with	ADP
ejpam-7067	78	24	an	an	DET
ejpam-7067	78	25	average	average	ADJ
ejpam-7067	78	26	dwell	dwell	NOUN
ejpam-7067	78	27	-	-	PUNCT
ejpam-7067	78	28	time	time	NOUN
ejpam-7067	78	29	bound	bind	VERB
ejpam-7067	78	30	.	.	PUNCT
ejpam-7067	79	1	under	under	ADP
ejpam-7067	79	2	this	this	DET
ejpam-7067	79	3	joint	joint	ADJ
ejpam-7067	79	4	-	-	PUNCT
ejpam-7067	79	5	connectivity	connectivity	NOUN
ejpam-7067	79	6	,	,	PUNCT
ejpam-7067	79	7	the	the	DET
ejpam-7067	79	8	invariant	invariant	ADJ
ejpam-7067	79	9	subspace	subspace	NOUN
ejpam-7067	79	10	associated	associate	VERB
ejpam-7067	79	11	with	with	ADP
ejpam-7067	79	12	le	le	X
ejpam-7067	79	13	remains	remain	VERB
ejpam-7067	79	14	span{1	span{1	NOUN
ejpam-7067	79	15	m	m	VERB
ejpam-7067	79	16	}	}	PUNCT
ejpam-7067	79	17	in	in	ADP
ejpam-7067	79	18	the	the	DET
ejpam-7067	79	19	aggregate	aggregate	ADJ
ejpam-7067	79	20	sense	sense	NOUN
ejpam-7067	79	21	.	.	PUNCT
ejpam-7067	80	1	remark	remark	NOUN
ejpam-7067	80	2	(	(	PUNCT
ejpam-7067	80	3	weight	weight	NOUN
ejpam-7067	80	4	balance	balance	NOUN
ejpam-7067	80	5	and	and	CCONJ
ejpam-7067	80	6	switching	switching	NOUN
ejpam-7067	80	7	)	)	PUNCT
ejpam-7067	80	8	.	.	PUNCT
ejpam-7067	81	1	if	if	SCONJ
ejpam-7067	81	2	g	g	PROPN
ejpam-7067	81	3	is	be	AUX
ejpam-7067	81	4	weight	weight	NOUN
ejpam-7067	81	5	-	-	PUNCT
ejpam-7067	81	6	balanced	balanced	ADJ
ejpam-7067	81	7	,	,	PUNCT
ejpam-7067	81	8	standard	standard	ADJ
ejpam-7067	81	9	symmetrization	symmetrization	NOUN
ejpam-7067	81	10	yields	yield	VERB
ejpam-7067	81	11	sharper	sharp	ADJ
ejpam-7067	81	12	spectral	spectral	ADJ
ejpam-7067	81	13	estimates	estimate	NOUN
ejpam-7067	81	14	;	;	PUNCT
ejpam-7067	81	15	for	for	ADP
ejpam-7067	81	16	switching	switch	VERB
ejpam-7067	81	17	among	among	ADP
ejpam-7067	81	18	a	a	DET
ejpam-7067	81	19	finite	finite	ADJ
ejpam-7067	81	20	set	set	NOUN
ejpam-7067	81	21	of	of	ADP
ejpam-7067	81	22	strongly	strongly	ADV
ejpam-7067	81	23	connected	connected	ADJ
ejpam-7067	81	24	graphs	graph	NOUN
ejpam-7067	81	25	,	,	PUNCT
ejpam-7067	81	26	assumption	assumption	NOUN
ejpam-7067	81	27	1	1	NUM
ejpam-7067	81	28	holds	hold	VERB
ejpam-7067	81	29	under	under	ADP
ejpam-7067	81	30	classical	classical	ADJ
ejpam-7067	81	31	joint	joint	ADJ
ejpam-7067	81	32	-	-	PUNCT
ejpam-7067	81	33	connectivity	connectivity	NOUN
ejpam-7067	81	34	/	/	SYM
ejpam-7067	81	35	dwell	dwell	NOUN
ejpam-7067	81	36	-	-	PUNCT
ejpam-7067	81	37	time	time	NOUN
ejpam-7067	81	38	conditions	condition	NOUN
ejpam-7067	81	39	.	.	PUNCT
ejpam-7067	82	1	edge	edge	NOUN
ejpam-7067	82	2	states	state	NOUN
ejpam-7067	82	3	,	,	PUNCT
ejpam-7067	82	4	scaling	scaling	NOUN
ejpam-7067	82	5	,	,	PUNCT
ejpam-7067	82	6	and	and	CCONJ
ejpam-7067	82	7	consensus	consensus	NOUN
ejpam-7067	82	8	formulation	formulation	NOUN
ejpam-7067	82	9	in	in	ADP
ejpam-7067	82	10	an	an	DET
ejpam-7067	82	11	edge	edge	NOUN
ejpam-7067	82	12	-	-	PUNCT
ejpam-7067	82	13	centric	centric	NOUN
ejpam-7067	82	14	modeling	modeling	NOUN
ejpam-7067	82	15	framework	framework	NOUN
ejpam-7067	82	16	,	,	PUNCT
ejpam-7067	82	17	each	each	DET
ejpam-7067	82	18	directed	direct	VERB
ejpam-7067	82	19	edge	edge	NOUN
ejpam-7067	82	20	e	e	NOUN
ejpam-7067	82	21	=	=	SYM
ejpam-7067	82	22	(	(	PUNCT
ejpam-7067	83	1	i	i	PROPN
ejpam-7067	83	2	,	,	PUNCT
ejpam-7067	83	3	j	j	PROPN
ejpam-7067	83	4	)	)	PUNCT
ejpam-7067	83	5	∈	∈	PROPN
ejpam-7067	83	6	e	e	NOUN
ejpam-7067	83	7	is	be	AUX
ejpam-7067	83	8	assigned	assign	VERB
ejpam-7067	83	9	a	a	DET
ejpam-7067	83	10	scalar	scalar	ADJ
ejpam-7067	83	11	state	state	NOUN
ejpam-7067	83	12	xij(t	xij(t	PROPN
ejpam-7067	83	13	)	)	PUNCT
ejpam-7067	83	14	∈	∈	PROPN
ejpam-7067	83	15	r	r	NOUN
ejpam-7067	83	16	that	that	PRON
ejpam-7067	83	17	evolves	evolve	VERB
ejpam-7067	83	18	with	with	ADP
ejpam-7067	83	19	time	time	NOUN
ejpam-7067	83	20	.	.	PUNCT
ejpam-7067	84	1	let	let	VERB
ejpam-7067	84	2	the	the	DET
ejpam-7067	84	3	total	total	ADJ
ejpam-7067	84	4	number	number	NOUN
ejpam-7067	84	5	of	of	ADP
ejpam-7067	84	6	directed	direct	VERB
ejpam-7067	84	7	edges	edge	NOUN
ejpam-7067	84	8	be	be	VERB
ejpam-7067	84	9	m	m	PROPN
ejpam-7067	84	10	=	=	SYM
ejpam-7067	84	11	|e|	|e|	PROPN
ejpam-7067	84	12	.	.	PUNCT
ejpam-7067	85	1	stacking	stack	VERB
ejpam-7067	85	2	the	the	DET
ejpam-7067	85	3	edge	edge	NOUN
ejpam-7067	85	4	states	state	NOUN
ejpam-7067	85	5	in	in	ADP
ejpam-7067	85	6	a	a	DET
ejpam-7067	85	7	fixed	fix	VERB
ejpam-7067	85	8	order	order	NOUN
ejpam-7067	85	9	yields	yield	VERB
ejpam-7067	85	10	the	the	DET
ejpam-7067	85	11	aggregate	aggregate	ADJ
ejpam-7067	85	12	edge	edge	NOUN
ejpam-7067	85	13	-	-	PUNCT
ejpam-7067	85	14	state	state	NOUN
ejpam-7067	85	15	vector	vector	NOUN
ejpam-7067	85	16	x(t	x(t	PROPN
ejpam-7067	85	17	)	)	PUNCT
ejpam-7067	86	1	=	=	SYM
ejpam-7067	86	2	[	[	PUNCT
ejpam-7067	86	3	xe1(t	xe1(t	PROPN
ejpam-7067	86	4	)	)	PUNCT
ejpam-7067	86	5	,	,	PUNCT
ejpam-7067	86	6	.	.	PUNCT
ejpam-7067	86	7	.	.	PUNCT
ejpam-7067	87	1	.	.	PUNCT
ejpam-7067	88	1	,	,	PUNCT
ejpam-7067	88	2	xem	xem	X
ejpam-7067	88	3	(	(	PUNCT
ejpam-7067	88	4	t	t	PROPN
ejpam-7067	88	5	)	)	PUNCT
ejpam-7067	88	6	]	]	PUNCT
ejpam-7067	88	7	⊤	⊤	PROPN
ejpam-7067	88	8	∈	∈	PROPN
ejpam-7067	88	9	rm	rm	NOUN
ejpam-7067	88	10	,	,	PUNCT
ejpam-7067	88	11	ẋ(t	ẋ(t	ADJ
ejpam-7067	88	12	)	)	PUNCT
ejpam-7067	88	13	=	=	SYM
ejpam-7067	88	14	u(t	u(t	NOUN
ejpam-7067	88	15	)	)	PUNCT
ejpam-7067	88	16	,	,	PUNCT
ejpam-7067	88	17	(	(	PUNCT
ejpam-7067	88	18	1	1	X
ejpam-7067	88	19	)	)	PUNCT
ejpam-7067	88	20	m.	m.	NOUN
ejpam-7067	88	21	donganont	donganont	PROPN
ejpam-7067	88	22	et	et	PROPN
ejpam-7067	88	23	al	al	PROPN
ejpam-7067	88	24	.	.	PUNCT
ejpam-7067	88	25	/	/	SYM
ejpam-7067	88	26	eur	eur	PROPN
ejpam-7067	88	27	.	.	PUNCT
ejpam-7067	89	1	j.	j.	PROPN
ejpam-7067	89	2	pure	pure	PROPN
ejpam-7067	89	3	appl	appl	PROPN
ejpam-7067	89	4	.	.	PROPN
ejpam-7067	89	5	math	math	PROPN
ejpam-7067	89	6	,	,	PUNCT
ejpam-7067	89	7	18	18	NUM
ejpam-7067	89	8	(	(	PUNCT
ejpam-7067	89	9	4	4	NUM
ejpam-7067	89	10	)	)	PUNCT
ejpam-7067	89	11	(	(	PUNCT
ejpam-7067	89	12	2025	2025	NUM
ejpam-7067	89	13	)	)	PUNCT
ejpam-7067	89	14	,	,	PUNCT
ejpam-7067	89	15	7067	7067	NUM
ejpam-7067	89	16	5	5	NUM
ejpam-7067	89	17	of	of	ADP
ejpam-7067	89	18	22	22	NUM
ejpam-7067	89	19	where	where	SCONJ
ejpam-7067	89	20	u(t	u(t	NOUN
ejpam-7067	89	21	)	)	PUNCT
ejpam-7067	89	22	∈	∈	PROPN
ejpam-7067	89	23	rm	rm	NOUN
ejpam-7067	89	24	denotes	denote	VERB
ejpam-7067	89	25	the	the	DET
ejpam-7067	89	26	control	control	PROPN
ejpam-7067	89	27	input	input	PROPN
ejpam-7067	89	28	vector	vector	NOUN
ejpam-7067	89	29	,	,	PUNCT
ejpam-7067	89	30	which	which	PRON
ejpam-7067	89	31	is	be	AUX
ejpam-7067	89	32	constructed	construct	VERB
ejpam-7067	89	33	using	use	VERB
ejpam-7067	89	34	only	only	ADV
ejpam-7067	89	35	edgelocal	edgelocal	ADJ
ejpam-7067	89	36	information	information	NOUN
ejpam-7067	89	37	available	available	ADJ
ejpam-7067	89	38	on	on	ADP
ejpam-7067	89	39	the	the	DET
ejpam-7067	89	40	line	line	NOUN
ejpam-7067	89	41	digraph	digraph	NOUN
ejpam-7067	89	42	l(g	l(g	NOUN
ejpam-7067	89	43	)	)	PUNCT
ejpam-7067	89	44	.	.	PUNCT
ejpam-7067	90	1	heterogeneity	heterogeneity	NOUN
ejpam-7067	90	2	in	in	ADP
ejpam-7067	90	3	edge	edge	NOUN
ejpam-7067	90	4	interactions	interaction	NOUN
ejpam-7067	90	5	is	be	AUX
ejpam-7067	90	6	captured	capture	VERB
ejpam-7067	90	7	through	through	ADP
ejpam-7067	90	8	a	a	DET
ejpam-7067	90	9	positive	positive	ADJ
ejpam-7067	90	10	definite	definite	ADJ
ejpam-7067	90	11	diagonal	diagonal	ADJ
ejpam-7067	90	12	matrix	matrix	NOUN
ejpam-7067	90	13	ds	ds	ADP
ejpam-7067	90	14	≻	≻	PROPN
ejpam-7067	90	15	0	0	NUM
ejpam-7067	90	16	,	,	PUNCT
ejpam-7067	90	17	referred	refer	VERB
ejpam-7067	90	18	to	to	ADP
ejpam-7067	90	19	as	as	ADP
ejpam-7067	90	20	the	the	DET
ejpam-7067	90	21	scaling	scale	VERB
ejpam-7067	90	22	matrix	matrix	NOUN
ejpam-7067	90	23	.	.	PUNCT
ejpam-7067	91	1	the	the	DET
ejpam-7067	91	2	corresponding	corresponding	ADJ
ejpam-7067	91	3	normalized	normalize	VERB
ejpam-7067	91	4	edge	edge	NOUN
ejpam-7067	91	5	coordinates	coordinate	NOUN
ejpam-7067	91	6	are	be	AUX
ejpam-7067	91	7	defined	define	VERB
ejpam-7067	91	8	by	by	ADP
ejpam-7067	91	9	z(t	z(t	NOUN
ejpam-7067	91	10	)	)	PUNCT
ejpam-7067	92	1	:	:	PUNCT
ejpam-7067	92	2	=	=	PROPN
ejpam-7067	92	3	d−1	d−1	PROPN
ejpam-7067	92	4	s	s	PART
ejpam-7067	92	5	x(t	x(t	PROPN
ejpam-7067	92	6	)	)	PUNCT
ejpam-7067	92	7	.	.	PUNCT
ejpam-7067	93	1	(	(	PUNCT
ejpam-7067	93	2	2	2	X
ejpam-7067	93	3	)	)	PUNCT
ejpam-7067	93	4	the	the	DET
ejpam-7067	93	5	network	network	NOUN
ejpam-7067	93	6	is	be	AUX
ejpam-7067	93	7	said	say	VERB
ejpam-7067	93	8	to	to	PART
ejpam-7067	93	9	achieve	achieve	VERB
ejpam-7067	93	10	scaled	scaled	ADJ
ejpam-7067	93	11	edge	edge	NOUN
ejpam-7067	93	12	consensus	consensus	NOUN
ejpam-7067	93	13	if	if	SCONJ
ejpam-7067	93	14	there	there	PRON
ejpam-7067	93	15	exists	exist	VERB
ejpam-7067	93	16	a	a	DET
ejpam-7067	93	17	scalar	scalar	ADJ
ejpam-7067	93	18	λ	λ	NOUN
ejpam-7067	93	19	∈	∈	NOUN
ejpam-7067	93	20	r	r	NOUN
ejpam-7067	93	21	satisfying	satisfy	VERB
ejpam-7067	93	22	lim	lim	PROPN
ejpam-7067	93	23	t→∞	t→∞	ADP
ejpam-7067	93	24	z(t	z(t	NOUN
ejpam-7067	93	25	)	)	PUNCT
ejpam-7067	93	26	=	=	SYM
ejpam-7067	94	1	λ1	λ1	PROPN
ejpam-7067	94	2	m	m	VERB
ejpam-7067	94	3	⇐	⇐	ADJ
ejpam-7067	94	4	⇒	⇒	PROPN
ejpam-7067	94	5	lim	lim	PROPN
ejpam-7067	94	6	t→∞	t→∞	X
ejpam-7067	94	7	(	(	PUNCT
ejpam-7067	94	8	xij(t	xij(t	PROPN
ejpam-7067	94	9	)	)	PUNCT
ejpam-7067	94	10	sij	sij	PROPN
ejpam-7067	94	11	−	−	PROPN
ejpam-7067	94	12	xkl(t	xkl(t	PROPN
ejpam-7067	94	13	)	)	PUNCT
ejpam-7067	94	14	skl	skl	NOUN
ejpam-7067	94	15	)	)	PUNCT
ejpam-7067	95	1	=	=	SYM
ejpam-7067	95	2	0	0	NUM
ejpam-7067	95	3	,	,	PUNCT
ejpam-7067	95	4	∀(i	∀(i	NUM
ejpam-7067	95	5	,	,	PUNCT
ejpam-7067	95	6	j	j	PROPN
ejpam-7067	95	7	)	)	PUNCT
ejpam-7067	95	8	,	,	PUNCT
ejpam-7067	95	9	(	(	PUNCT
ejpam-7067	95	10	k	k	X
ejpam-7067	95	11	,	,	PUNCT
ejpam-7067	95	12	l	l	NOUN
ejpam-7067	95	13	)	)	PUNCT
ejpam-7067	95	14	∈	∈	PROPN
ejpam-7067	95	15	e	e	NOUN
ejpam-7067	95	16	,	,	PUNCT
ejpam-7067	95	17	(	(	PUNCT
ejpam-7067	95	18	3	3	X
ejpam-7067	95	19	)	)	PUNCT
ejpam-7067	95	20	where	where	SCONJ
ejpam-7067	95	21	sij	sij	PROPN
ejpam-7067	95	22	represents	represent	VERB
ejpam-7067	95	23	the	the	DET
ejpam-7067	95	24	scaling	scaling	ADJ
ejpam-7067	95	25	coefficient	coefficient	NOUN
ejpam-7067	95	26	associated	associate	VERB
ejpam-7067	95	27	with	with	ADP
ejpam-7067	95	28	edge	edge	NOUN
ejpam-7067	95	29	(	(	PUNCT
ejpam-7067	95	30	i	i	PROPN
ejpam-7067	95	31	,	,	PUNCT
ejpam-7067	95	32	j	j	PROPN
ejpam-7067	95	33	)	)	PUNCT
ejpam-7067	95	34	.	.	PUNCT
ejpam-7067	96	1	the	the	DET
ejpam-7067	96	2	scalar	scalar	ADJ
ejpam-7067	96	3	λ	λ	NOUN
ejpam-7067	96	4	corresponds	correspond	VERB
ejpam-7067	96	5	to	to	ADP
ejpam-7067	96	6	a	a	DET
ejpam-7067	96	7	weighted	weight	VERB
ejpam-7067	96	8	steady	steady	ADJ
ejpam-7067	96	9	-	-	PUNCT
ejpam-7067	96	10	state	state	NOUN
ejpam-7067	96	11	value	value	NOUN
ejpam-7067	96	12	determined	determine	VERB
ejpam-7067	96	13	by	by	ADP
ejpam-7067	96	14	the	the	DET
ejpam-7067	96	15	left	left	ADJ
ejpam-7067	96	16	eigenvector	eigenvector	NOUN
ejpam-7067	96	17	of	of	ADP
ejpam-7067	96	18	the	the	DET
ejpam-7067	96	19	scaled	scale	VERB
ejpam-7067	96	20	edge	edge	NOUN
ejpam-7067	96	21	operator	operator	NOUN
ejpam-7067	96	22	,	,	PUNCT
ejpam-7067	96	23	and	and	CCONJ
ejpam-7067	96	24	it	it	PRON
ejpam-7067	96	25	depends	depend	VERB
ejpam-7067	96	26	explicitly	explicitly	ADV
ejpam-7067	96	27	on	on	ADP
ejpam-7067	96	28	both	both	CCONJ
ejpam-7067	96	29	the	the	DET
ejpam-7067	96	30	network	network	NOUN
ejpam-7067	96	31	topology	topology	NOUN
ejpam-7067	96	32	and	and	CCONJ
ejpam-7067	96	33	the	the	DET
ejpam-7067	96	34	scaling	scale	VERB
ejpam-7067	96	35	matrix	matrix	NOUN
ejpam-7067	96	36	ds	ds	NOUN
ejpam-7067	96	37	.	.	PROPN
ejpam-7067	97	1	in	in	ADP
ejpam-7067	97	2	the	the	DET
ejpam-7067	97	3	presence	presence	NOUN
ejpam-7067	97	4	of	of	ADP
ejpam-7067	97	5	input	input	NOUN
ejpam-7067	97	6	constraints	constraint	NOUN
ejpam-7067	97	7	or	or	CCONJ
ejpam-7067	97	8	substantial	substantial	ADJ
ejpam-7067	97	9	initial	initial	ADJ
ejpam-7067	97	10	dispersion	dispersion	NOUN
ejpam-7067	97	11	,	,	PUNCT
ejpam-7067	97	12	exact	exact	ADJ
ejpam-7067	97	13	consensus	consensus	NOUN
ejpam-7067	97	14	may	may	AUX
ejpam-7067	97	15	not	not	PART
ejpam-7067	97	16	be	be	AUX
ejpam-7067	97	17	attainable	attainable	ADJ
ejpam-7067	97	18	.	.	PUNCT
ejpam-7067	98	1	in	in	ADP
ejpam-7067	98	2	such	such	ADJ
ejpam-7067	98	3	situations	situation	NOUN
ejpam-7067	98	4	,	,	PUNCT
ejpam-7067	98	5	the	the	DET
ejpam-7067	98	6	relaxed	relaxed	ADJ
ejpam-7067	98	7	concept	concept	NOUN
ejpam-7067	98	8	of	of	ADP
ejpam-7067	98	9	scaled	scale	VERB
ejpam-7067	98	10	edge	edge	NOUN
ejpam-7067	98	11	quasiconsensus	quasiconsensus	PROPN
ejpam-7067	98	12	is	be	AUX
ejpam-7067	98	13	considered	consider	VERB
ejpam-7067	98	14	.	.	PUNCT
ejpam-7067	99	1	scaled	scale	VERB
ejpam-7067	99	2	edge	edge	NOUN
ejpam-7067	99	3	quasi	quasi	NOUN
ejpam-7067	100	1	-	-	NOUN
ejpam-7067	100	2	consensus	consensus	NOUN
ejpam-7067	100	3	with	with	ADP
ejpam-7067	100	4	radius	radius	NOUN
ejpam-7067	100	5	ρ	ρ	PROPN
ejpam-7067	100	6	>	>	X
ejpam-7067	100	7	0	0	NUM
ejpam-7067	100	8	is	be	AUX
ejpam-7067	100	9	said	say	VERB
ejpam-7067	100	10	to	to	PART
ejpam-7067	100	11	hold	hold	VERB
ejpam-7067	100	12	if	if	SCONJ
ejpam-7067	100	13	,	,	PUNCT
ejpam-7067	100	14	for	for	ADP
ejpam-7067	100	15	all	all	DET
ejpam-7067	100	16	sufficiently	sufficiently	ADV
ejpam-7067	100	17	large	large	ADJ
ejpam-7067	100	18	t	t	PROPN
ejpam-7067	100	19	,	,	PUNCT
ejpam-7067	100	20	max	max	PROPN
ejpam-7067	100	21	k,ℓ	k,ℓ	PROPN
ejpam-7067	100	22	∣∣zk(t)−	∣∣zk(t)−	PROPN
ejpam-7067	100	23	zℓ(t	zℓ(t	NUM
ejpam-7067	100	24	)	)	PUNCT
ejpam-7067	101	1	∣∣	∣∣	NUM
ejpam-7067	101	2	≤	≤	PROPN
ejpam-7067	101	3	ρ	ρ	PROPN
ejpam-7067	101	4	,	,	PUNCT
ejpam-7067	101	5	(	(	PUNCT
ejpam-7067	101	6	4	4	NUM
ejpam-7067	101	7	)	)	PUNCT
ejpam-7067	101	8	and	and	CCONJ
ejpam-7067	101	9	the	the	DET
ejpam-7067	101	10	set	set	NOUN
ejpam-7067	101	11	ωρ	ωρ	PROPN
ejpam-7067	101	12	:	:	PUNCT
ejpam-7067	101	13	=	=	SYM
ejpam-7067	101	14	{	{	PUNCT
ejpam-7067	101	15	z	z	PROPN
ejpam-7067	101	16	∈	∈	PROPN
ejpam-7067	101	17	rm	rm	NOUN
ejpam-7067	101	18	:	:	PUNCT
ejpam-7067	101	19	max	max	PROPN
ejpam-7067	101	20	k,ℓ	k,ℓ	PROPN
ejpam-7067	101	21	|zk	|zk	PUNCT
ejpam-7067	101	22	−	−	PROPN
ejpam-7067	101	23	zℓ|	zℓ|	PROPN
ejpam-7067	101	24	≤	≤	PROPN
ejpam-7067	101	25	ρ	ρ	PROPN
ejpam-7067	101	26	}	}	PUNCT
ejpam-7067	101	27	is	be	AUX
ejpam-7067	101	28	forward	forward	ADV
ejpam-7067	101	29	invariant	invariant	ADJ
ejpam-7067	101	30	under	under	ADP
ejpam-7067	101	31	the	the	DET
ejpam-7067	101	32	closed	closed	ADJ
ejpam-7067	101	33	-	-	PUNCT
ejpam-7067	101	34	loop	loop	NOUN
ejpam-7067	101	35	dynamics	dynamic	NOUN
ejpam-7067	101	36	.	.	PUNCT
ejpam-7067	102	1	under	under	ADP
ejpam-7067	102	2	this	this	DET
ejpam-7067	102	3	condition	condition	NOUN
ejpam-7067	102	4	,	,	PUNCT
ejpam-7067	102	5	the	the	DET
ejpam-7067	102	6	normalized	normalize	VERB
ejpam-7067	102	7	edge	edge	NOUN
ejpam-7067	102	8	states	state	NOUN
ejpam-7067	102	9	converge	converge	VERB
ejpam-7067	102	10	to	to	ADP
ejpam-7067	102	11	a	a	DET
ejpam-7067	102	12	bounded	bounded	ADJ
ejpam-7067	102	13	neighborhood	neighborhood	NOUN
ejpam-7067	102	14	of	of	ADP
ejpam-7067	102	15	consensus	consensus	NOUN
ejpam-7067	102	16	rather	rather	ADV
ejpam-7067	102	17	than	than	ADP
ejpam-7067	102	18	achieving	achieve	VERB
ejpam-7067	102	19	exact	exact	ADJ
ejpam-7067	102	20	alignment	alignment	NOUN
ejpam-7067	102	21	.	.	PUNCT
ejpam-7067	103	1	saturation	saturation	NOUN
ejpam-7067	103	2	,	,	PUNCT
ejpam-7067	103	3	threshold	threshold	NOUN
ejpam-7067	103	4	activation	activation	NOUN
ejpam-7067	103	5	,	,	PUNCT
ejpam-7067	103	6	and	and	CCONJ
ejpam-7067	103	7	solution	solution	NOUN
ejpam-7067	103	8	concept	concept	NOUN
ejpam-7067	103	9	in	in	ADP
ejpam-7067	103	10	practical	practical	ADJ
ejpam-7067	103	11	settings	setting	NOUN
ejpam-7067	103	12	,	,	PUNCT
ejpam-7067	103	13	physical	physical	ADJ
ejpam-7067	103	14	actuators	actuator	NOUN
ejpam-7067	103	15	are	be	AUX
ejpam-7067	103	16	subject	subject	ADJ
ejpam-7067	103	17	to	to	ADP
ejpam-7067	103	18	hard	hard	ADJ
ejpam-7067	103	19	constraints	constraint	NOUN
ejpam-7067	103	20	,	,	PUNCT
ejpam-7067	103	21	limiting	limit	VERB
ejpam-7067	103	22	the	the	DET
ejpam-7067	103	23	magnitude	magnitude	NOUN
ejpam-7067	103	24	of	of	ADP
ejpam-7067	103	25	admissible	admissible	ADJ
ejpam-7067	103	26	control	control	NOUN
ejpam-7067	103	27	inputs	input	NOUN
ejpam-7067	103	28	.	.	PUNCT
ejpam-7067	104	1	this	this	DET
ejpam-7067	104	2	phenomenon	phenomenon	NOUN
ejpam-7067	104	3	is	be	AUX
ejpam-7067	104	4	modeled	model	VERB
ejpam-7067	104	5	via	via	ADP
ejpam-7067	104	6	a	a	DET
ejpam-7067	104	7	symmetric	symmetric	ADJ
ejpam-7067	104	8	saturation	saturation	NOUN
ejpam-7067	104	9	function	function	NOUN
ejpam-7067	104	10	defined	define	VERB
ejpam-7067	104	11	by	by	ADP
ejpam-7067	104	12	satω(v	satω(v	PROPN
ejpam-7067	104	13	)	)	PUNCT
ejpam-7067	104	14	:	:	PUNCT
ejpam-7067	104	15	=	=	SYM
ejpam-7067	104	16	sign(v	sign(v	PROPN
ejpam-7067	104	17	)	)	PUNCT
ejpam-7067	104	18	·	·	PUNCT
ejpam-7067	104	19	min{|v|	min{|v|	X
ejpam-7067	104	20	,	,	PUNCT
ejpam-7067	104	21	ω	ω	NOUN
ejpam-7067	104	22	}	}	PUNCT
ejpam-7067	104	23	,	,	PUNCT
ejpam-7067	104	24	ω	ω	X
ejpam-7067	104	25	>	>	X
ejpam-7067	104	26	0	0	NUM
ejpam-7067	104	27	,	,	PUNCT
ejpam-7067	104	28	(	(	PUNCT
ejpam-7067	104	29	5	5	NUM
ejpam-7067	104	30	)	)	PUNCT
ejpam-7067	104	31	where	where	SCONJ
ejpam-7067	104	32	ω	ω	PROPN
ejpam-7067	104	33	denotes	denote	VERB
ejpam-7067	104	34	the	the	DET
ejpam-7067	104	35	saturation	saturation	NOUN
ejpam-7067	104	36	threshold	threshold	NOUN
ejpam-7067	104	37	.	.	PUNCT
ejpam-7067	105	1	to	to	PART
ejpam-7067	105	2	mitigate	mitigate	VERB
ejpam-7067	105	3	excessive	excessive	ADJ
ejpam-7067	105	4	control	control	NOUN
ejpam-7067	105	5	updates	update	NOUN
ejpam-7067	105	6	and	and	CCONJ
ejpam-7067	105	7	reduce	reduce	VERB
ejpam-7067	105	8	communication	communication	NOUN
ejpam-7067	105	9	overhead	overhead	NOUN
ejpam-7067	105	10	,	,	PUNCT
ejpam-7067	105	11	edge	edge	NOUN
ejpam-7067	105	12	-	-	PUNCT
ejpam-7067	105	13	toedge	toedge	NOUN
ejpam-7067	105	14	interactions	interaction	NOUN
ejpam-7067	105	15	are	be	AUX
ejpam-7067	105	16	governed	govern	VERB
ejpam-7067	105	17	by	by	ADP
ejpam-7067	105	18	a	a	DET
ejpam-7067	105	19	threshold	threshold	NOUN
ejpam-7067	105	20	-	-	PUNCT
ejpam-7067	105	21	based	base	VERB
ejpam-7067	105	22	activation	activation	NOUN
ejpam-7067	105	23	mechanism	mechanism	NOUN
ejpam-7067	105	24	.	.	PUNCT
ejpam-7067	106	1	specifically	specifically	ADV
ejpam-7067	106	2	,	,	PUNCT
ejpam-7067	106	3	a	a	DET
ejpam-7067	106	4	coupling	coupling	NOUN
ejpam-7067	106	5	is	be	AUX
ejpam-7067	106	6	activated	activate	VERB
ejpam-7067	106	7	only	only	ADV
ejpam-7067	106	8	when	when	SCONJ
ejpam-7067	106	9	the	the	DET
ejpam-7067	106	10	corresponding	corresponding	ADJ
ejpam-7067	106	11	local	local	ADJ
ejpam-7067	106	12	disagreement	disagreement	NOUN
ejpam-7067	106	13	exceeds	exceed	VERB
ejpam-7067	106	14	a	a	DET
ejpam-7067	106	15	prescribed	prescribed	ADJ
ejpam-7067	106	16	threshold	threshold	NOUN
ejpam-7067	106	17	α	α	PRON
ejpam-7067	106	18	≥	≥	NOUN
ejpam-7067	106	19	0	0	NUM
ejpam-7067	106	20	.	.	PUNCT
ejpam-7067	107	1	the	the	DET
ejpam-7067	107	2	activation	activation	NOUN
ejpam-7067	107	3	pattern	pattern	NOUN
ejpam-7067	107	4	is	be	AUX
ejpam-7067	107	5	encoded	encode	VERB
ejpam-7067	107	6	in	in	ADP
ejpam-7067	107	7	a	a	DET
ejpam-7067	107	8	diagonal	diagonal	ADJ
ejpam-7067	107	9	(	(	PUNCT
ejpam-7067	107	10	or	or	CCONJ
ejpam-7067	107	11	suitably	suitably	ADV
ejpam-7067	107	12	structured	structured	ADJ
ejpam-7067	107	13	)	)	PUNCT
ejpam-7067	107	14	matrix	matrix	NOUN
ejpam-7067	107	15	φα(z	φα(z	NOUN
ejpam-7067	107	16	)	)	PUNCT
ejpam-7067	107	17	∈	∈	PROPN
ejpam-7067	107	18	rm×m	rm×m	NOUN
ejpam-7067	107	19	,	,	PUNCT
ejpam-7067	107	20	whose	whose	DET
ejpam-7067	107	21	eth	eth	ADJ
ejpam-7067	107	22	diagonal	diagonal	ADJ
ejpam-7067	107	23	entry	entry	NOUN
ejpam-7067	107	24	is	be	AUX
ejpam-7067	107	25	equal	equal	ADJ
ejpam-7067	107	26	to	to	ADP
ejpam-7067	107	27	one	one	NUM
ejpam-7067	107	28	if	if	SCONJ
ejpam-7067	107	29	the	the	DET
ejpam-7067	107	30	local	local	ADJ
ejpam-7067	107	31	mismatch	mismatch	NOUN
ejpam-7067	107	32	on	on	ADP
ejpam-7067	107	33	edge	edge	NOUN
ejpam-7067	107	34	e	e	NOUN
ejpam-7067	107	35	in	in	ADP
ejpam-7067	107	36	the	the	DET
ejpam-7067	107	37	line	line	NOUN
ejpam-7067	107	38	digraph	digraph	NOUN
ejpam-7067	107	39	l(g	l(g	NOUN
ejpam-7067	107	40	)	)	PUNCT
ejpam-7067	107	41	exceeds	exceed	VERB
ejpam-7067	107	42	α	α	NUM
ejpam-7067	107	43	,	,	PUNCT
ejpam-7067	107	44	and	and	CCONJ
ejpam-7067	107	45	zero	zero	NUM
ejpam-7067	107	46	otherwise	otherwise	ADV
ejpam-7067	107	47	.	.	PUNCT
ejpam-7067	108	1	m.	m.	NOUN
ejpam-7067	108	2	donganont	donganont	PROPN
ejpam-7067	108	3	et	et	PROPN
ejpam-7067	108	4	al	al	PROPN
ejpam-7067	108	5	.	.	PUNCT
ejpam-7067	108	6	/	/	SYM
ejpam-7067	108	7	eur	eur	PROPN
ejpam-7067	108	8	.	.	PUNCT
ejpam-7067	109	1	j.	j.	PROPN
ejpam-7067	109	2	pure	pure	PROPN
ejpam-7067	109	3	appl	appl	PROPN
ejpam-7067	109	4	.	.	PROPN
ejpam-7067	109	5	math	math	PROPN
ejpam-7067	109	6	,	,	PUNCT
ejpam-7067	109	7	18	18	NUM
ejpam-7067	109	8	(	(	PUNCT
ejpam-7067	109	9	4	4	NUM
ejpam-7067	109	10	)	)	PUNCT
ejpam-7067	109	11	(	(	PUNCT
ejpam-7067	109	12	2025	2025	NUM
ejpam-7067	109	13	)	)	PUNCT
ejpam-7067	109	14	,	,	PUNCT
ejpam-7067	109	15	7067	7067	NUM
ejpam-7067	109	16	6	6	NUM
ejpam-7067	109	17	of	of	ADP
ejpam-7067	109	18	22	22	NUM
ejpam-7067	109	19	under	under	ADP
ejpam-7067	109	20	this	this	DET
ejpam-7067	109	21	framework	framework	NOUN
ejpam-7067	109	22	,	,	PUNCT
ejpam-7067	109	23	the	the	DET
ejpam-7067	109	24	distributed	distribute	VERB
ejpam-7067	109	25	edge	edge	NOUN
ejpam-7067	109	26	protocol	protocol	NOUN
ejpam-7067	109	27	is	be	AUX
ejpam-7067	109	28	defined	define	VERB
ejpam-7067	109	29	by	by	ADP
ejpam-7067	109	30	the	the	DET
ejpam-7067	109	31	following	following	ADJ
ejpam-7067	109	32	nonlinear	nonlinear	PROPN
ejpam-7067	109	33	control	control	PROPN
ejpam-7067	109	34	law	law	NOUN
ejpam-7067	109	35	:	:	PUNCT
ejpam-7067	110	1	ẋ(t	ẋ(t	X
ejpam-7067	110	2	)	)	PUNCT
ejpam-7067	110	3	=	=	X
ejpam-7067	111	1	satω	satω	NOUN
ejpam-7067	111	2	(	(	PUNCT
ejpam-7067	111	3	−	−	PROPN
ejpam-7067	111	4	γ	γ	X
ejpam-7067	111	5	φα(z(t))le	φα(z(t))le	X
ejpam-7067	111	6	z(t	z(t	NOUN
ejpam-7067	111	7	)	)	PUNCT
ejpam-7067	111	8	)	)	PUNCT
ejpam-7067	111	9	,	,	PUNCT
ejpam-7067	111	10	z(t	z(t	X
ejpam-7067	111	11	)	)	PUNCT
ejpam-7067	111	12	=	=	PUNCT
ejpam-7067	112	1	d−1	d−1	PROPN
ejpam-7067	112	2	s	s	PART
ejpam-7067	112	3	x(t	x(t	PROPN
ejpam-7067	112	4	)	)	PUNCT
ejpam-7067	112	5	,	,	PUNCT
ejpam-7067	112	6	γ	γ	X
ejpam-7067	112	7	>	>	X
ejpam-7067	112	8	0	0	NUM
ejpam-7067	112	9	,	,	PUNCT
ejpam-7067	112	10	(	(	PUNCT
ejpam-7067	112	11	6	6	NUM
ejpam-7067	112	12	)	)	PUNCT
ejpam-7067	112	13	where	where	SCONJ
ejpam-7067	112	14	le	le	X
ejpam-7067	112	15	∈	∈	PROPN
ejpam-7067	112	16	rm×m	rm×m	NOUN
ejpam-7067	112	17	denotes	denote	VERB
ejpam-7067	112	18	the	the	DET
ejpam-7067	112	19	edge	edge	NOUN
ejpam-7067	112	20	laplacian	laplacian	NOUN
ejpam-7067	112	21	,	,	PUNCT
ejpam-7067	112	22	and	and	CCONJ
ejpam-7067	112	23	ds	ds	PRON
ejpam-7067	112	24	≻	≻	X
ejpam-7067	112	25	0	0	NUM
ejpam-7067	112	26	is	be	AUX
ejpam-7067	112	27	the	the	DET
ejpam-7067	112	28	scaling	scale	VERB
ejpam-7067	112	29	matrix	matrix	NOUN
ejpam-7067	112	30	introduced	introduce	VERB
ejpam-7067	112	31	previously	previously	ADV
ejpam-7067	112	32	.	.	PUNCT
ejpam-7067	113	1	in	in	ADP
ejpam-7067	113	2	scenarios	scenario	NOUN
ejpam-7067	113	3	characterized	characterize	VERB
ejpam-7067	113	4	by	by	ADP
ejpam-7067	113	5	large	large	ADJ
ejpam-7067	113	6	initial	initial	ADJ
ejpam-7067	113	7	dispersion	dispersion	NOUN
ejpam-7067	113	8	or	or	CCONJ
ejpam-7067	113	9	tight	tight	ADJ
ejpam-7067	113	10	input	input	NOUN
ejpam-7067	113	11	constraints	constraint	NOUN
ejpam-7067	113	12	,	,	PUNCT
ejpam-7067	113	13	robustness	robustness	NOUN
ejpam-7067	113	14	can	can	AUX
ejpam-7067	113	15	be	be	AUX
ejpam-7067	113	16	enhanced	enhance	VERB
ejpam-7067	113	17	through	through	ADP
ejpam-7067	113	18	a	a	DET
ejpam-7067	113	19	low	low	ADJ
ejpam-7067	113	20	-	-	PUNCT
ejpam-7067	113	21	gain	gain	NOUN
ejpam-7067	113	22	modification	modification	NOUN
ejpam-7067	113	23	of	of	ADP
ejpam-7067	113	24	the	the	DET
ejpam-7067	113	25	control	control	NOUN
ejpam-7067	113	26	protocol	protocol	NOUN
ejpam-7067	113	27	:	:	PUNCT
ejpam-7067	113	28	ẋ(t	ẋ(t	NUM
ejpam-7067	113	29	)	)	PUNCT
ejpam-7067	114	1	=	=	X
ejpam-7067	114	2	satω	satω	NOUN
ejpam-7067	114	3	(	(	PUNCT
ejpam-7067	114	4	−	−	PROPN
ejpam-7067	114	5	ε	ε	PROPN
ejpam-7067	114	6	γ	γ	X
ejpam-7067	114	7	φα(z(t))le	φα(z(t))le	X
ejpam-7067	114	8	z(t	z(t	NOUN
ejpam-7067	114	9	)	)	PUNCT
ejpam-7067	114	10	)	)	PUNCT
ejpam-7067	114	11	,	,	PUNCT
ejpam-7067	114	12	0	0	NUM
ejpam-7067	114	13	<	<	X
ejpam-7067	114	14	ε	ε	PROPN
ejpam-7067	114	15	≤	≤	PROPN
ejpam-7067	114	16	1	1	NUM
ejpam-7067	114	17	,	,	PUNCT
ejpam-7067	114	18	(	(	PUNCT
ejpam-7067	114	19	7	7	X
ejpam-7067	114	20	)	)	PUNCT
ejpam-7067	114	21	where	where	SCONJ
ejpam-7067	114	22	ε	ε	PROPN
ejpam-7067	114	23	serves	serve	VERB
ejpam-7067	114	24	as	as	ADP
ejpam-7067	114	25	a	a	DET
ejpam-7067	114	26	gain	gain	NOUN
ejpam-7067	114	27	-	-	PUNCT
ejpam-7067	114	28	scaling	scale	VERB
ejpam-7067	114	29	parameter	parameter	NOUN
ejpam-7067	114	30	that	that	PRON
ejpam-7067	114	31	moderates	moderate	NOUN
ejpam-7067	114	32	control	control	VERB
ejpam-7067	114	33	intensity	intensity	NOUN
ejpam-7067	114	34	at	at	ADP
ejpam-7067	114	35	the	the	DET
ejpam-7067	114	36	expense	expense	NOUN
ejpam-7067	114	37	of	of	ADP
ejpam-7067	114	38	convergence	convergence	NOUN
ejpam-7067	114	39	speed	speed	NOUN
ejpam-7067	114	40	and	and	CCONJ
ejpam-7067	114	41	precision	precision	NOUN
ejpam-7067	114	42	.	.	PUNCT
ejpam-7067	115	1	due	due	ADP
ejpam-7067	115	2	to	to	ADP
ejpam-7067	115	3	the	the	DET
ejpam-7067	115	4	discontinuities	discontinuity	NOUN
ejpam-7067	115	5	introduced	introduce	VERB
ejpam-7067	115	6	by	by	ADP
ejpam-7067	115	7	threshold	threshold	NOUN
ejpam-7067	115	8	activation	activation	NOUN
ejpam-7067	115	9	and	and	CCONJ
ejpam-7067	115	10	saturation	saturation	NOUN
ejpam-7067	115	11	,	,	PUNCT
ejpam-7067	115	12	solutions	solution	NOUN
ejpam-7067	115	13	to	to	ADP
ejpam-7067	115	14	the	the	DET
ejpam-7067	115	15	above	above	ADJ
ejpam-7067	115	16	systems	system	NOUN
ejpam-7067	115	17	are	be	AUX
ejpam-7067	115	18	interpreted	interpret	VERB
ejpam-7067	115	19	in	in	ADP
ejpam-7067	115	20	the	the	DET
ejpam-7067	115	21	carathéodory	carathéodory	ADJ
ejpam-7067	115	22	sense	sense	NOUN
ejpam-7067	115	23	,	,	PUNCT
ejpam-7067	115	24	which	which	PRON
ejpam-7067	115	25	accommodates	accommodate	VERB
ejpam-7067	115	26	discontinuous	discontinuous	ADJ
ejpam-7067	115	27	vector	vector	NOUN
ejpam-7067	115	28	fields	field	NOUN
ejpam-7067	115	29	with	with	ADP
ejpam-7067	115	30	well	well	ADV
ejpam-7067	115	31	-	-	PUNCT
ejpam-7067	115	32	defined	define	VERB
ejpam-7067	115	33	limits	limit	NOUN
ejpam-7067	115	34	almost	almost	ADV
ejpam-7067	115	35	everywhere	everywhere	ADV
ejpam-7067	115	36	.	.	PUNCT
ejpam-7067	116	1	in	in	ADP
ejpam-7067	116	2	cases	case	NOUN
ejpam-7067	116	3	involving	involve	VERB
ejpam-7067	116	4	set	set	NOUN
ejpam-7067	116	5	-	-	PUNCT
ejpam-7067	116	6	valued	value	VERB
ejpam-7067	116	7	right	right	ADJ
ejpam-7067	116	8	-	-	PUNCT
ejpam-7067	116	9	hand	hand	NOUN
ejpam-7067	116	10	sides	side	NOUN
ejpam-7067	116	11	—	—	PUNCT
ejpam-7067	116	12	such	such	ADJ
ejpam-7067	116	13	as	as	ADP
ejpam-7067	116	14	those	those	PRON
ejpam-7067	116	15	arising	arise	VERB
ejpam-7067	116	16	from	from	ADP
ejpam-7067	116	17	hysteresis	hysteresis	NOUN
ejpam-7067	116	18	or	or	CCONJ
ejpam-7067	116	19	saturation	saturation	NOUN
ejpam-7067	116	20	kinks	kink	NOUN
ejpam-7067	116	21	—	—	PUNCT
ejpam-7067	116	22	solutions	solution	NOUN
ejpam-7067	116	23	are	be	AUX
ejpam-7067	116	24	further	far	ADV
ejpam-7067	116	25	interpreted	interpret	VERB
ejpam-7067	116	26	via	via	ADP
ejpam-7067	116	27	filippov	filippov	ADJ
ejpam-7067	116	28	regularization	regularization	NOUN
ejpam-7067	116	29	.	.	PUNCT
ejpam-7067	117	1	these	these	DET
ejpam-7067	117	2	interpretations	interpretation	NOUN
ejpam-7067	117	3	ensure	ensure	VERB
ejpam-7067	117	4	the	the	DET
ejpam-7067	117	5	existence	existence	NOUN
ejpam-7067	117	6	,	,	PUNCT
ejpam-7067	117	7	continuity	continuity	NOUN
ejpam-7067	117	8	,	,	PUNCT
ejpam-7067	117	9	and	and	CCONJ
ejpam-7067	117	10	closure	closure	NOUN
ejpam-7067	117	11	of	of	ADP
ejpam-7067	117	12	system	system	NOUN
ejpam-7067	117	13	trajectories	trajectory	NOUN
ejpam-7067	117	14	across	across	ADP
ejpam-7067	117	15	activation	activation	NOUN
ejpam-7067	117	16	and	and	CCONJ
ejpam-7067	117	17	deactivation	deactivation	NOUN
ejpam-7067	117	18	events	event	NOUN
ejpam-7067	117	19	and	and	CCONJ
ejpam-7067	117	20	provide	provide	VERB
ejpam-7067	117	21	a	a	DET
ejpam-7067	117	22	rigorous	rigorous	ADJ
ejpam-7067	117	23	foundation	foundation	NOUN
ejpam-7067	117	24	for	for	ADP
ejpam-7067	117	25	the	the	DET
ejpam-7067	117	26	application	application	NOUN
ejpam-7067	117	27	of	of	ADP
ejpam-7067	117	28	invariance	invariance	NOUN
ejpam-7067	117	29	principles	principle	NOUN
ejpam-7067	117	30	in	in	ADP
ejpam-7067	117	31	discontinuous	discontinuous	ADJ
ejpam-7067	117	32	dynamical	dynamical	ADJ
ejpam-7067	117	33	systems	system	NOUN
ejpam-7067	117	34	.	.	PUNCT
ejpam-7067	118	1	dispersion	dispersion	NOUN
ejpam-7067	118	2	measures	measure	NOUN
ejpam-7067	118	3	and	and	CCONJ
ejpam-7067	118	4	safe	safe	ADJ
ejpam-7067	118	5	-	-	PUNCT
ejpam-7067	118	6	dispersion	dispersion	NOUN
ejpam-7067	118	7	bounds	bound	VERB
ejpam-7067	118	8	the	the	DET
ejpam-7067	118	9	dispersion	dispersion	NOUN
ejpam-7067	118	10	of	of	ADP
ejpam-7067	118	11	the	the	DET
ejpam-7067	118	12	initial	initial	ADJ
ejpam-7067	118	13	normalized	normalize	VERB
ejpam-7067	118	14	edge	edge	NOUN
ejpam-7067	118	15	state	state	NOUN
ejpam-7067	118	16	is	be	AUX
ejpam-7067	118	17	measured	measure	VERB
ejpam-7067	118	18	by	by	ADP
ejpam-7067	118	19	disp0	disp0	VERB
ejpam-7067	118	20	:	:	PUNCT
ejpam-7067	118	21	=	=	SYM
ejpam-7067	118	22	max	max	PROPN
ejpam-7067	118	23	k,ℓ	k,ℓ	PROPN
ejpam-7067	118	24	∣∣zk(0)−	∣∣zk(0)−	PROPN
ejpam-7067	118	25	zℓ(0	zℓ(0	PROPN
ejpam-7067	118	26	)	)	PUNCT
ejpam-7067	118	27	∣∣.	∣∣.	NOUN
ejpam-7067	118	28	(	(	PUNCT
ejpam-7067	118	29	8)	8)	NUM
ejpam-7067	118	30	a	a	DET
ejpam-7067	118	31	sufficient	sufficient	ADJ
ejpam-7067	118	32	condition	condition	NOUN
ejpam-7067	118	33	ensuring	ensure	VERB
ejpam-7067	118	34	that	that	SCONJ
ejpam-7067	118	35	the	the	DET
ejpam-7067	118	36	control	control	NOUN
ejpam-7067	118	37	input	input	NOUN
ejpam-7067	118	38	remains	remain	VERB
ejpam-7067	118	39	strictly	strictly	ADV
ejpam-7067	118	40	within	within	ADP
ejpam-7067	118	41	the	the	DET
ejpam-7067	118	42	saturation	saturation	NOUN
ejpam-7067	118	43	limit	limit	NOUN
ejpam-7067	118	44	—	—	PUNCT
ejpam-7067	118	45	thereby	thereby	ADV
ejpam-7067	118	46	preserving	preserve	VERB
ejpam-7067	118	47	the	the	DET
ejpam-7067	118	48	unsaturated	unsaturated	ADJ
ejpam-7067	118	49	dynamics	dynamic	NOUN
ejpam-7067	118	50	governed	govern	VERB
ejpam-7067	118	51	by	by	ADP
ejpam-7067	118	52	(	(	PUNCT
ejpam-7067	118	53	6)—is	6)—is	ADV
ejpam-7067	118	54	given	give	VERB
ejpam-7067	118	55	by	by	ADP
ejpam-7067	118	56	disp0	disp0	PROPN
ejpam-7067	118	57	<	<	X
ejpam-7067	119	1	ω	ω	PROPN
ejpam-7067	119	2	m	m	NOUN
ejpam-7067	119	3	−	−	NOUN
ejpam-7067	119	4	1	1	NUM
ejpam-7067	119	5	.	.	PUNCT
ejpam-7067	120	1	(	(	PUNCT
ejpam-7067	120	2	9	9	X
ejpam-7067	120	3	)	)	PUNCT
ejpam-7067	120	4	this	this	DET
ejpam-7067	120	5	condition	condition	NOUN
ejpam-7067	120	6	guarantees	guarantee	VERB
ejpam-7067	120	7	that	that	SCONJ
ejpam-7067	120	8	the	the	DET
ejpam-7067	120	9	magnitude	magnitude	NOUN
ejpam-7067	120	10	of	of	ADP
ejpam-7067	120	11	all	all	DET
ejpam-7067	120	12	control	control	NOUN
ejpam-7067	120	13	inputs	input	NOUN
ejpam-7067	120	14	is	be	AUX
ejpam-7067	120	15	initially	initially	ADV
ejpam-7067	120	16	below	below	ADP
ejpam-7067	120	17	the	the	DET
ejpam-7067	120	18	actuator	actuator	NOUN
ejpam-7067	120	19	bound	bind	VERB
ejpam-7067	120	20	ω	ω	PROPN
ejpam-7067	120	21	,	,	PUNCT
ejpam-7067	120	22	and	and	CCONJ
ejpam-7067	120	23	since	since	SCONJ
ejpam-7067	120	24	the	the	DET
ejpam-7067	120	25	protocol	protocol	NOUN
ejpam-7067	120	26	is	be	AUX
ejpam-7067	120	27	designed	design	VERB
ejpam-7067	120	28	to	to	PART
ejpam-7067	120	29	be	be	AUX
ejpam-7067	120	30	non	non	ADJ
ejpam-7067	120	31	-	-	ADJ
ejpam-7067	120	32	expansive	expansive	ADJ
ejpam-7067	120	33	under	under	ADP
ejpam-7067	120	34	unsaturated	unsaturated	ADJ
ejpam-7067	120	35	flow	flow	NOUN
ejpam-7067	120	36	,	,	PUNCT
ejpam-7067	120	37	saturation	saturation	NOUN
ejpam-7067	120	38	will	will	AUX
ejpam-7067	120	39	remain	remain	VERB
ejpam-7067	120	40	inactive	inactive	ADJ
ejpam-7067	120	41	throughout	throughout	ADP
ejpam-7067	120	42	the	the	DET
ejpam-7067	120	43	evolution	evolution	NOUN
ejpam-7067	120	44	.	.	PUNCT
ejpam-7067	121	1	although	although	SCONJ
ejpam-7067	121	2	condition	condition	NOUN
ejpam-7067	121	3	(	(	PUNCT
ejpam-7067	121	4	9	9	NUM
ejpam-7067	121	5	)	)	PUNCT
ejpam-7067	121	6	is	be	AUX
ejpam-7067	121	7	conservative	conservative	ADJ
ejpam-7067	121	8	,	,	PUNCT
ejpam-7067	121	9	it	it	PRON
ejpam-7067	121	10	remains	remain	VERB
ejpam-7067	121	11	easily	easily	ADV
ejpam-7067	121	12	verifiable	verifiable	ADJ
ejpam-7067	121	13	.	.	PUNCT
ejpam-7067	122	1	to	to	PART
ejpam-7067	122	2	mitigate	mitigate	VERB
ejpam-7067	122	3	its	its	PRON
ejpam-7067	122	4	conservativeness	conservativeness	NOUN
ejpam-7067	122	5	,	,	PUNCT
ejpam-7067	122	6	section	section	NOUN
ejpam-7067	122	7	4	4	NUM
ejpam-7067	122	8	introduces	introduce	VERB
ejpam-7067	122	9	spectral	spectral	ADJ
ejpam-7067	122	10	tightenings	tightening	NOUN
ejpam-7067	122	11	by	by	ADP
ejpam-7067	122	12	replacing	replace	VERB
ejpam-7067	122	13	the	the	DET
ejpam-7067	122	14	coarse	coarse	ADJ
ejpam-7067	122	15	factor	factor	NOUN
ejpam-7067	122	16	(	(	PUNCT
ejpam-7067	122	17	m	m	NOUN
ejpam-7067	122	18	−	−	NOUN
ejpam-7067	122	19	1	1	NUM
ejpam-7067	122	20	)	)	PUNCT
ejpam-7067	122	21	with	with	ADP
ejpam-7067	122	22	graphand	graphand	NOUN
ejpam-7067	122	23	operator	operator	NOUN
ejpam-7067	122	24	-	-	PUNCT
ejpam-7067	122	25	dependent	dependent	ADJ
ejpam-7067	122	26	quantities	quantity	NOUN
ejpam-7067	122	27	such	such	ADJ
ejpam-7067	122	28	as	as	ADP
ejpam-7067	122	29	∥le∥/λ2(le	∥le∥/λ2(le	NOUN
ejpam-7067	122	30	)	)	PUNCT
ejpam-7067	122	31	,	,	PUNCT
ejpam-7067	122	32	or	or	CCONJ
ejpam-7067	122	33	degreebased	degreebase	VERB
ejpam-7067	122	34	bounds	bound	NOUN
ejpam-7067	122	35	associated	associate	VERB
ejpam-7067	122	36	with	with	ADP
ejpam-7067	122	37	the	the	DET
ejpam-7067	122	38	line	line	NOUN
ejpam-7067	122	39	digraph	digraph	NOUN
ejpam-7067	122	40	l(g	l(g	NOUN
ejpam-7067	122	41	)	)	PUNCT
ejpam-7067	122	42	.	.	PUNCT
ejpam-7067	123	1	these	these	DET
ejpam-7067	123	2	refinements	refinement	NOUN
ejpam-7067	123	3	yield	yield	VERB
ejpam-7067	123	4	less	less	ADV
ejpam-7067	123	5	restrictive	restrictive	ADJ
ejpam-7067	123	6	safe	safe	ADJ
ejpam-7067	123	7	-	-	PUNCT
ejpam-7067	123	8	dispersion	dispersion	NOUN
ejpam-7067	123	9	domains	domain	NOUN
ejpam-7067	123	10	and	and	CCONJ
ejpam-7067	123	11	lead	lead	VERB
ejpam-7067	123	12	to	to	ADP
ejpam-7067	123	13	sharper	sharp	ADJ
ejpam-7067	123	14	bounds	bound	NOUN
ejpam-7067	123	15	on	on	ADP
ejpam-7067	123	16	the	the	DET
ejpam-7067	123	17	quasi	quasi	ADJ
ejpam-7067	123	18	-	-	ADJ
ejpam-7067	123	19	consensus	consensus	ADJ
ejpam-7067	123	20	radius	radius	NOUN
ejpam-7067	123	21	in	in	ADP
ejpam-7067	123	22	the	the	DET
ejpam-7067	123	23	presence	presence	NOUN
ejpam-7067	123	24	of	of	ADP
ejpam-7067	123	25	saturation	saturation	NOUN
ejpam-7067	123	26	.	.	PUNCT
ejpam-7067	124	1	m.	m.	NOUN
ejpam-7067	124	2	donganont	donganont	PROPN
ejpam-7067	124	3	et	et	PROPN
ejpam-7067	124	4	al	al	PROPN
ejpam-7067	124	5	.	.	PUNCT
ejpam-7067	124	6	/	/	SYM
ejpam-7067	124	7	eur	eur	PROPN
ejpam-7067	124	8	.	.	PUNCT
ejpam-7067	125	1	j.	j.	PROPN
ejpam-7067	125	2	pure	pure	PROPN
ejpam-7067	125	3	appl	appl	PROPN
ejpam-7067	125	4	.	.	PROPN
ejpam-7067	125	5	math	math	PROPN
ejpam-7067	125	6	,	,	PUNCT
ejpam-7067	125	7	18	18	NUM
ejpam-7067	125	8	(	(	PUNCT
ejpam-7067	125	9	4	4	NUM
ejpam-7067	125	10	)	)	PUNCT
ejpam-7067	125	11	(	(	PUNCT
ejpam-7067	125	12	2025	2025	NUM
ejpam-7067	125	13	)	)	PUNCT
ejpam-7067	125	14	,	,	PUNCT
ejpam-7067	125	15	7067	7067	NUM
ejpam-7067	125	16	7	7	NUM
ejpam-7067	125	17	of	of	ADP
ejpam-7067	125	18	22	22	NUM
ejpam-7067	125	19	stability	stability	NOUN
ejpam-7067	125	20	tools	tool	NOUN
ejpam-7067	125	21	two	two	NUM
ejpam-7067	125	22	standard	standard	ADJ
ejpam-7067	125	23	results	result	NOUN
ejpam-7067	125	24	concerning	concern	VERB
ejpam-7067	125	25	the	the	DET
ejpam-7067	125	26	stability	stability	NOUN
ejpam-7067	125	27	of	of	ADP
ejpam-7067	125	28	linear	linear	ADJ
ejpam-7067	125	29	and	and	CCONJ
ejpam-7067	125	30	discontinuous	discontinuous	ADJ
ejpam-7067	125	31	systems	system	NOUN
ejpam-7067	125	32	are	be	AUX
ejpam-7067	125	33	recalled	recall	VERB
ejpam-7067	125	34	for	for	ADP
ejpam-7067	125	35	subsequent	subsequent	ADJ
ejpam-7067	125	36	analysis	analysis	NOUN
ejpam-7067	125	37	.	.	PUNCT
ejpam-7067	126	1	lemma	lemma	PROPN
ejpam-7067	126	2	1	1	NUM
ejpam-7067	126	3	(	(	PUNCT
ejpam-7067	126	4	metzler	metzler	NOUN
ejpam-7067	126	5	stability	stability	NOUN
ejpam-7067	126	6	[	[	X
ejpam-7067	126	7	21	21	NUM
ejpam-7067	126	8	]	]	PUNCT
ejpam-7067	126	9	)	)	PUNCT
ejpam-7067	126	10	.	.	PUNCT
ejpam-7067	127	1	let	let	VERB
ejpam-7067	127	2	a	a	DET
ejpam-7067	127	3	∈	∈	ADJ
ejpam-7067	127	4	rn×n	rn×n	NOUN
ejpam-7067	127	5	be	be	AUX
ejpam-7067	127	6	a	a	DET
ejpam-7067	127	7	metzler	metzler	NOUN
ejpam-7067	127	8	matrix	matrix	NOUN
ejpam-7067	127	9	.	.	PUNCT
ejpam-7067	128	1	then	then	ADV
ejpam-7067	128	2	the	the	DET
ejpam-7067	128	3	system	system	NOUN
ejpam-7067	128	4	ẋ	ẋ	PUNCT
ejpam-7067	129	1	=	=	PUNCT
ejpam-7067	130	1	ax	ax	NOUN
ejpam-7067	130	2	is	be	AUX
ejpam-7067	130	3	globally	globally	ADV
ejpam-7067	130	4	asymptotically	asymptotically	ADV
ejpam-7067	130	5	stable	stable	ADJ
ejpam-7067	130	6	if	if	SCONJ
ejpam-7067	130	7	and	and	CCONJ
ejpam-7067	130	8	only	only	ADV
ejpam-7067	130	9	if	if	SCONJ
ejpam-7067	130	10	all	all	PRON
ejpam-7067	130	11	eigenvalues	eigenvalue	VERB
ejpam-7067	130	12	of	of	ADP
ejpam-7067	130	13	a	a	PRON
ejpam-7067	130	14	have	have	VERB
ejpam-7067	130	15	strictly	strictly	ADV
ejpam-7067	130	16	negative	negative	ADJ
ejpam-7067	130	17	real	real	ADJ
ejpam-7067	130	18	parts	part	NOUN
ejpam-7067	130	19	.	.	PUNCT
ejpam-7067	131	1	lemma	lemma	PROPN
ejpam-7067	131	2	2	2	NUM
ejpam-7067	131	3	(	(	PUNCT
ejpam-7067	131	4	lasalle	lasalle	NOUN
ejpam-7067	131	5	-	-	PUNCT
ejpam-7067	131	6	type	type	NOUN
ejpam-7067	131	7	invariance	invariance	NOUN
ejpam-7067	131	8	principle	principle	NOUN
ejpam-7067	131	9	[	[	X
ejpam-7067	131	10	22	22	NUM
ejpam-7067	131	11	]	]	PUNCT
ejpam-7067	131	12	)	)	PUNCT
ejpam-7067	131	13	.	.	PUNCT
ejpam-7067	132	1	consider	consider	VERB
ejpam-7067	132	2	the	the	DET
ejpam-7067	132	3	nonlinear	nonlinear	ADJ
ejpam-7067	132	4	system	system	NOUN
ejpam-7067	132	5	ẋ	ẋ	PUNCT
ejpam-7067	133	1	=	=	SYM
ejpam-7067	133	2	f(x	f(x	PROPN
ejpam-7067	133	3	)	)	PUNCT
ejpam-7067	133	4	with	with	ADP
ejpam-7067	133	5	a	a	DET
ejpam-7067	133	6	continuously	continuously	ADV
ejpam-7067	133	7	differentiable	differentiable	ADJ
ejpam-7067	133	8	lyapunov	lyapunov	NOUN
ejpam-7067	133	9	function	function	VERB
ejpam-7067	133	10	v	v	ADP
ejpam-7067	133	11	:	:	PUNCT
ejpam-7067	133	12	rn	rn	PROPN
ejpam-7067	133	13	→	→	SYM
ejpam-7067	133	14	r	r	NOUN
ejpam-7067	133	15	satisfying	satisfy	VERB
ejpam-7067	133	16	v̇	v̇	NOUN
ejpam-7067	133	17	(	(	PUNCT
ejpam-7067	133	18	x	x	NOUN
ejpam-7067	133	19	)	)	PUNCT
ejpam-7067	133	20	≤	≤	NOUN
ejpam-7067	133	21	0	0	NUM
ejpam-7067	133	22	.	.	PUNCT
ejpam-7067	134	1	then	then	ADV
ejpam-7067	134	2	,	,	PUNCT
ejpam-7067	134	3	every	every	DET
ejpam-7067	134	4	trajectory	trajectory	NOUN
ejpam-7067	134	5	converges	converge	VERB
ejpam-7067	134	6	to	to	ADP
ejpam-7067	134	7	the	the	DET
ejpam-7067	134	8	largest	large	ADJ
ejpam-7067	134	9	weakly	weakly	ADJ
ejpam-7067	134	10	invariant	invariant	ADJ
ejpam-7067	134	11	set	set	NOUN
ejpam-7067	134	12	contained	contain	VERB
ejpam-7067	134	13	in	in	ADP
ejpam-7067	134	14	{	{	PUNCT
ejpam-7067	134	15	x	x	PROPN
ejpam-7067	134	16	∈	∈	PROPN
ejpam-7067	134	17	rn	rn	PROPN
ejpam-7067	134	18	:	:	PUNCT
ejpam-7067	134	19	v̇	v̇	VERB
ejpam-7067	134	20	(	(	PUNCT
ejpam-7067	134	21	x	x	X
ejpam-7067	134	22	)	)	PUNCT
ejpam-7067	134	23	=	=	SYM
ejpam-7067	134	24	0	0	NUM
ejpam-7067	134	25	}	}	PUNCT
ejpam-7067	134	26	.	.	PUNCT
ejpam-7067	135	1	for	for	SCONJ
ejpam-7067	135	2	systems	system	NOUN
ejpam-7067	135	3	with	with	ADP
ejpam-7067	135	4	discontinuous	discontinuous	ADJ
ejpam-7067	135	5	right	right	ADJ
ejpam-7067	135	6	-	-	PUNCT
ejpam-7067	135	7	hand	hand	NOUN
ejpam-7067	135	8	sides	side	NOUN
ejpam-7067	135	9	interpreted	interpret	VERB
ejpam-7067	135	10	in	in	ADP
ejpam-7067	135	11	the	the	DET
ejpam-7067	135	12	filippov	filippov	ADJ
ejpam-7067	135	13	sense	sense	NOUN
ejpam-7067	135	14	,	,	PUNCT
ejpam-7067	135	15	a	a	DET
ejpam-7067	135	16	similar	similar	ADJ
ejpam-7067	135	17	invariance	invariance	NOUN
ejpam-7067	135	18	principle	principle	NOUN
ejpam-7067	135	19	applies	apply	VERB
ejpam-7067	135	20	under	under	ADP
ejpam-7067	135	21	standard	standard	ADJ
ejpam-7067	135	22	regularity	regularity	NOUN
ejpam-7067	135	23	conditions	condition	NOUN
ejpam-7067	135	24	.	.	PUNCT
ejpam-7067	136	1	problem	problem	NOUN
ejpam-7067	136	2	statement	statement	NOUN
ejpam-7067	136	3	given	give	VERB
ejpam-7067	136	4	a	a	DET
ejpam-7067	136	5	strongly	strongly	ADV
ejpam-7067	136	6	connected	connect	VERB
ejpam-7067	136	7	digraph	digraph	NOUN
ejpam-7067	136	8	g	g	NOUN
ejpam-7067	136	9	=	=	SYM
ejpam-7067	136	10	(	(	PUNCT
ejpam-7067	136	11	v	v	NOUN
ejpam-7067	136	12	,	,	PUNCT
ejpam-7067	136	13	e	e	NOUN
ejpam-7067	136	14	)	)	PUNCT
ejpam-7067	136	15	,	,	PUNCT
ejpam-7067	136	16	a	a	DET
ejpam-7067	136	17	positive	positive	ADJ
ejpam-7067	136	18	definite	definite	ADJ
ejpam-7067	136	19	scaling	scaling	NOUN
ejpam-7067	136	20	matrix	matrix	NOUN
ejpam-7067	136	21	ds	ds	ADP
ejpam-7067	136	22	≻	≻	PROPN
ejpam-7067	136	23	0	0	NUM
ejpam-7067	136	24	,	,	PUNCT
ejpam-7067	136	25	a	a	DET
ejpam-7067	136	26	threshold	threshold	NOUN
ejpam-7067	136	27	parameter	parameter	NOUN
ejpam-7067	136	28	α	α	PROPN
ejpam-7067	136	29	≥	≥	NOUN
ejpam-7067	136	30	0	0	NUM
ejpam-7067	136	31	,	,	PUNCT
ejpam-7067	136	32	and	and	CCONJ
ejpam-7067	136	33	a	a	DET
ejpam-7067	136	34	saturation	saturation	NOUN
ejpam-7067	136	35	limit	limit	NOUN
ejpam-7067	136	36	ω	ω	PROPN
ejpam-7067	136	37	>	>	X
ejpam-7067	136	38	0	0	PROPN
ejpam-7067	136	39	,	,	PUNCT
ejpam-7067	136	40	the	the	DET
ejpam-7067	136	41	objective	objective	NOUN
ejpam-7067	136	42	is	be	AUX
ejpam-7067	136	43	to	to	PART
ejpam-7067	136	44	design	design	VERB
ejpam-7067	136	45	a	a	DET
ejpam-7067	136	46	fully	fully	ADV
ejpam-7067	136	47	distributed	distribute	VERB
ejpam-7067	136	48	edge	edge	NOUN
ejpam-7067	136	49	-	-	PUNCT
ejpam-7067	136	50	local	local	ADJ
ejpam-7067	136	51	control	control	NOUN
ejpam-7067	136	52	protocol	protocol	NOUN
ejpam-7067	136	53	of	of	ADP
ejpam-7067	136	54	the	the	DET
ejpam-7067	136	55	form	form	NOUN
ejpam-7067	136	56	(	(	PUNCT
ejpam-7067	136	57	6)–(7	6)–(7	NUM
ejpam-7067	136	58	)	)	PUNCT
ejpam-7067	136	59	operating	operate	VERB
ejpam-7067	136	60	on	on	ADP
ejpam-7067	136	61	the	the	DET
ejpam-7067	136	62	line	line	NOUN
ejpam-7067	136	63	digraph	digraph	NOUN
ejpam-7067	136	64	l(g	l(g	NOUN
ejpam-7067	136	65	)	)	PUNCT
ejpam-7067	136	66	,	,	PUNCT
ejpam-7067	136	67	satisfying	satisfy	VERB
ejpam-7067	136	68	the	the	DET
ejpam-7067	136	69	following	follow	VERB
ejpam-7067	136	70	control	control	NOUN
ejpam-7067	136	71	objectives	objective	NOUN
ejpam-7067	136	72	:	:	PUNCT
ejpam-7067	136	73	(	(	PUNCT
ejpam-7067	136	74	i	i	NOUN
ejpam-7067	136	75	)	)	PUNCT
ejpam-7067	136	76	unsaturated	unsaturated	ADJ
ejpam-7067	136	77	regime	regime	NOUN
ejpam-7067	136	78	:	:	PUNCT
ejpam-7067	136	79	achieve	achieve	VERB
ejpam-7067	136	80	global	global	ADJ
ejpam-7067	136	81	scaled	scale	VERB
ejpam-7067	136	82	edge	edge	NOUN
ejpam-7067	136	83	consensus	consensus	NOUN
ejpam-7067	136	84	under	under	ADP
ejpam-7067	136	85	the	the	DET
ejpam-7067	136	86	assumption	assumption	NOUN
ejpam-7067	136	87	that	that	SCONJ
ejpam-7067	136	88	saturation	saturation	NOUN
ejpam-7067	136	89	remains	remain	VERB
ejpam-7067	136	90	inactive	inactive	ADJ
ejpam-7067	136	91	along	along	ADP
ejpam-7067	136	92	the	the	DET
ejpam-7067	136	93	entire	entire	ADJ
ejpam-7067	136	94	trajectory	trajectory	NOUN
ejpam-7067	136	95	.	.	PUNCT
ejpam-7067	137	1	(	(	PUNCT
ejpam-7067	137	2	ii	ii	NOUN
ejpam-7067	137	3	)	)	PUNCT
ejpam-7067	137	4	saturated	saturated	ADJ
ejpam-7067	137	5	but	but	CCONJ
ejpam-7067	137	6	safe	safe	ADJ
ejpam-7067	137	7	-	-	PUNCT
ejpam-7067	137	8	dispersion	dispersion	NOUN
ejpam-7067	137	9	regime	regime	NOUN
ejpam-7067	137	10	:	:	PUNCT
ejpam-7067	137	11	guarantee	guarantee	VERB
ejpam-7067	137	12	scaled	scaled	ADJ
ejpam-7067	137	13	consensus	consensus	NOUN
ejpam-7067	137	14	provided	provide	VERB
ejpam-7067	137	15	that	that	SCONJ
ejpam-7067	137	16	the	the	DET
ejpam-7067	137	17	initial	initial	ADJ
ejpam-7067	137	18	dispersion	dispersion	NOUN
ejpam-7067	137	19	satisfies	satisfy	VERB
ejpam-7067	137	20	a	a	DET
ejpam-7067	137	21	verifiable	verifiable	ADJ
ejpam-7067	137	22	safe	safe	ADJ
ejpam-7067	137	23	-	-	PUNCT
ejpam-7067	137	24	dispersion	dispersion	NOUN
ejpam-7067	137	25	bound	bind	VERB
ejpam-7067	137	26	,	,	PUNCT
ejpam-7067	137	27	ensuring	ensure	VERB
ejpam-7067	137	28	saturation	saturation	NOUN
ejpam-7067	137	29	is	be	AUX
ejpam-7067	137	30	never	never	ADV
ejpam-7067	137	31	activated	activate	VERB
ejpam-7067	137	32	.	.	PUNCT
ejpam-7067	138	1	(	(	PUNCT
ejpam-7067	138	2	iii	iii	X
ejpam-7067	138	3	)	)	PUNCT
ejpam-7067	138	4	high	high	ADJ
ejpam-7067	138	5	-	-	PUNCT
ejpam-7067	138	6	dispersion	dispersion	NOUN
ejpam-7067	138	7	regime	regime	NOUN
ejpam-7067	138	8	:	:	PUNCT
ejpam-7067	138	9	ensure	ensure	VERB
ejpam-7067	138	10	bounded	bounded	ADJ
ejpam-7067	138	11	scaled	scale	VERB
ejpam-7067	138	12	edge	edge	NOUN
ejpam-7067	138	13	quasi	quasi	NOUN
ejpam-7067	138	14	-	-	NOUN
ejpam-7067	138	15	consensus	consensus	NOUN
ejpam-7067	138	16	with	with	ADP
ejpam-7067	138	17	an	an	DET
ejpam-7067	138	18	explicitly	explicitly	ADV
ejpam-7067	138	19	computable	computable	ADJ
ejpam-7067	138	20	convergence	convergence	NOUN
ejpam-7067	138	21	radius	radius	NOUN
ejpam-7067	138	22	under	under	ADP
ejpam-7067	138	23	a	a	DET
ejpam-7067	138	24	low	low	ADJ
ejpam-7067	138	25	-	-	PUNCT
ejpam-7067	138	26	gain	gain	NOUN
ejpam-7067	138	27	controller	controller	NOUN
ejpam-7067	138	28	configuration	configuration	NOUN
ejpam-7067	138	29	.	.	PUNCT
ejpam-7067	139	1	the	the	DET
ejpam-7067	139	2	theoretical	theoretical	ADJ
ejpam-7067	139	3	analysis	analysis	NOUN
ejpam-7067	139	4	aims	aim	VERB
ejpam-7067	139	5	to	to	PART
ejpam-7067	139	6	derive	derive	VERB
ejpam-7067	139	7	sufficient	sufficient	ADJ
ejpam-7067	139	8	conditions	condition	NOUN
ejpam-7067	139	9	in	in	ADP
ejpam-7067	139	10	terms	term	NOUN
ejpam-7067	139	11	of	of	ADP
ejpam-7067	139	12	graph	graph	NOUN
ejpam-7067	139	13	structure	structure	NOUN
ejpam-7067	139	14	and	and	CCONJ
ejpam-7067	139	15	gain	gain	VERB
ejpam-7067	139	16	parameters	parameter	NOUN
ejpam-7067	139	17	,	,	PUNCT
ejpam-7067	139	18	characterize	characterize	VERB
ejpam-7067	139	19	the	the	DET
ejpam-7067	139	20	dependence	dependence	NOUN
ejpam-7067	139	21	of	of	ADP
ejpam-7067	139	22	the	the	DET
ejpam-7067	139	23	limiting	limit	VERB
ejpam-7067	139	24	consensus	consensus	NOUN
ejpam-7067	139	25	value	value	NOUN
ejpam-7067	139	26	λ	λ	PROPN
ejpam-7067	139	27	on	on	ADP
ejpam-7067	139	28	the	the	DET
ejpam-7067	139	29	topology	topology	NOUN
ejpam-7067	139	30	and	and	CCONJ
ejpam-7067	139	31	scaling	scale	VERB
ejpam-7067	139	32	matrix	matrix	NOUN
ejpam-7067	139	33	ds	ds	NOUN
ejpam-7067	139	34	,	,	PUNCT
ejpam-7067	139	35	and	and	CCONJ
ejpam-7067	139	36	precisely	precisely	ADV
ejpam-7067	139	37	quantify	quantify	VERB
ejpam-7067	139	38	the	the	DET
ejpam-7067	139	39	trade	trade	NOUN
ejpam-7067	139	40	-	-	PUNCT
ejpam-7067	139	41	offs	off	NOUN
ejpam-7067	139	42	among	among	ADP
ejpam-7067	139	43	convergence	convergence	NOUN
ejpam-7067	139	44	rate	rate	NOUN
ejpam-7067	139	45	,	,	PUNCT
ejpam-7067	139	46	activation	activation	NOUN
ejpam-7067	139	47	frequency	frequency	NOUN
ejpam-7067	139	48	,	,	PUNCT
ejpam-7067	139	49	control	control	VERB
ejpam-7067	139	50	energy	energy	NOUN
ejpam-7067	139	51	expenditure	expenditure	NOUN
ejpam-7067	139	52	,	,	PUNCT
ejpam-7067	139	53	and	and	CCONJ
ejpam-7067	139	54	robustness	robustness	NOUN
ejpam-7067	139	55	to	to	ADP
ejpam-7067	139	56	actuator	actuator	NOUN
ejpam-7067	139	57	saturation	saturation	NOUN
ejpam-7067	139	58	.	.	PUNCT
ejpam-7067	140	1	these	these	DET
ejpam-7067	140	2	contributions	contribution	NOUN
ejpam-7067	140	3	are	be	AUX
ejpam-7067	140	4	developed	develop	VERB
ejpam-7067	140	5	rigorously	rigorously	ADV
ejpam-7067	140	6	in	in	ADP
ejpam-7067	140	7	sections	section	NOUN
ejpam-7067	140	8	3–4	3–4	NUM
ejpam-7067	140	9	and	and	CCONJ
ejpam-7067	140	10	validated	validate	VERB
ejpam-7067	140	11	through	through	ADP
ejpam-7067	140	12	numerical	numerical	ADJ
ejpam-7067	140	13	simulations	simulation	NOUN
ejpam-7067	140	14	in	in	ADP
ejpam-7067	140	15	section	section	NOUN
ejpam-7067	140	16	2	2	NUM
ejpam-7067	140	17	.	.	NOUN
ejpam-7067	140	18	3	3	X
ejpam-7067	140	19	.	.	X
ejpam-7067	140	20	protocol	protocol	NOUN
ejpam-7067	140	21	design	design	NOUN
ejpam-7067	140	22	this	this	DET
ejpam-7067	140	23	section	section	NOUN
ejpam-7067	140	24	presents	present	VERB
ejpam-7067	140	25	a	a	DET
ejpam-7067	140	26	fully	fully	ADV
ejpam-7067	140	27	distributed	distribute	VERB
ejpam-7067	140	28	protocol	protocol	NOUN
ejpam-7067	140	29	that	that	PRON
ejpam-7067	140	30	achieves	achieve	VERB
ejpam-7067	140	31	scaled	scale	VERB
ejpam-7067	140	32	edge	edge	NOUN
ejpam-7067	140	33	(	(	PUNCT
ejpam-7067	140	34	quasi)consensus	quasi)consensus	NOUN
ejpam-7067	140	35	on	on	ADP
ejpam-7067	140	36	the	the	DET
ejpam-7067	140	37	line	line	NOUN
ejpam-7067	140	38	digraph	digraph	NOUN
ejpam-7067	140	39	l(g	l(g	NOUN
ejpam-7067	140	40	)	)	PUNCT
ejpam-7067	140	41	under	under	ADP
ejpam-7067	140	42	actuator	actuator	NOUN
ejpam-7067	140	43	saturation	saturation	NOUN
ejpam-7067	140	44	and	and	CCONJ
ejpam-7067	140	45	threshold	threshold	NOUN
ejpam-7067	140	46	activation	activation	NOUN
ejpam-7067	140	47	.	.	PUNCT
ejpam-7067	141	1	we	we	PRON
ejpam-7067	141	2	adhere	adhere	VERB
ejpam-7067	141	3	to	to	ADP
ejpam-7067	141	4	the	the	DET
ejpam-7067	141	5	notation	notation	NOUN
ejpam-7067	141	6	in	in	ADP
ejpam-7067	141	7	section	section	NOUN
ejpam-7067	141	8	2	2	NUM
ejpam-7067	141	9	:	:	PUNCT
ejpam-7067	141	10	the	the	DET
ejpam-7067	141	11	stacked	stack	VERB
ejpam-7067	141	12	edge	edge	NOUN
ejpam-7067	141	13	state	state	NOUN
ejpam-7067	141	14	is	be	AUX
ejpam-7067	141	15	x	x	PUNCT
ejpam-7067	141	16	∈	∈	PROPN
ejpam-7067	141	17	rm	rm	NOUN
ejpam-7067	141	18	,	,	PUNCT
ejpam-7067	141	19	heterogeneous	heterogeneous	ADJ
ejpam-7067	141	20	scaling	scaling	NOUN
ejpam-7067	141	21	is	be	AUX
ejpam-7067	141	22	ds	ds	ADJ
ejpam-7067	141	23	≻	≻	PROPN
ejpam-7067	141	24	0	0	NUM
ejpam-7067	141	25	,	,	PUNCT
ejpam-7067	141	26	and	and	CCONJ
ejpam-7067	141	27	the	the	DET
ejpam-7067	141	28	normalized	normalize	VERB
ejpam-7067	141	29	coordinate	coordinate	NOUN
ejpam-7067	141	30	is	be	AUX
ejpam-7067	141	31	z	z	NOUN
ejpam-7067	141	32	=	=	SYM
ejpam-7067	141	33	d−1	d−1	PROPN
ejpam-7067	141	34	s	s	PROPN
ejpam-7067	141	35	x.	x.	NOUN
ejpam-7067	141	36	edge	edge	PROPN
ejpam-7067	141	37	-	-	PUNCT
ejpam-7067	141	38	to	to	ADP
ejpam-7067	141	39	-	-	PUNCT
ejpam-7067	141	40	edge	edge	NOUN
ejpam-7067	141	41	couplings	coupling	NOUN
ejpam-7067	141	42	are	be	AUX
ejpam-7067	141	43	mediated	mediate	VERB
ejpam-7067	141	44	by	by	ADP
ejpam-7067	141	45	the	the	DET
ejpam-7067	141	46	edge	edge	NOUN
ejpam-7067	141	47	-	-	PUNCT
ejpam-7067	141	48	laplacian	laplacian	NOUN
ejpam-7067	141	49	le	le	X
ejpam-7067	141	50	and	and	CCONJ
ejpam-7067	141	51	an	an	DET
ejpam-7067	141	52	activation	activation	NOUN
ejpam-7067	141	53	operator	operator	NOUN
ejpam-7067	141	54	φα(z	φα(z	NOUN
ejpam-7067	141	55	)	)	PUNCT
ejpam-7067	141	56	defined	define	VERB
ejpam-7067	141	57	from	from	ADP
ejpam-7067	141	58	local	local	ADJ
ejpam-7067	141	59	disagreements	disagreement	NOUN
ejpam-7067	141	60	.	.	PUNCT
ejpam-7067	142	1	throughout	throughout	ADP
ejpam-7067	142	2	,	,	PUNCT
ejpam-7067	142	3	assumption	assumption	NOUN
ejpam-7067	142	4	1	1	NUM
ejpam-7067	142	5	(	(	PUNCT
ejpam-7067	142	6	standing	stand	VERB
ejpam-7067	142	7	connectivity	connectivity	NOUN
ejpam-7067	142	8	)	)	PUNCT
ejpam-7067	142	9	is	be	AUX
ejpam-7067	142	10	in	in	ADP
ejpam-7067	142	11	force	force	NOUN
ejpam-7067	142	12	.	.	PUNCT
ejpam-7067	143	1	m.	m.	NOUN
ejpam-7067	143	2	donganont	donganont	PROPN
ejpam-7067	143	3	et	et	PROPN
ejpam-7067	143	4	al	al	PROPN
ejpam-7067	143	5	.	.	PUNCT
ejpam-7067	143	6	/	/	SYM
ejpam-7067	143	7	eur	eur	PROPN
ejpam-7067	143	8	.	.	PUNCT
ejpam-7067	144	1	j.	j.	PROPN
ejpam-7067	144	2	pure	pure	PROPN
ejpam-7067	144	3	appl	appl	PROPN
ejpam-7067	144	4	.	.	PROPN
ejpam-7067	144	5	math	math	PROPN
ejpam-7067	144	6	,	,	PUNCT
ejpam-7067	144	7	18	18	NUM
ejpam-7067	144	8	(	(	PUNCT
ejpam-7067	144	9	4	4	NUM
ejpam-7067	144	10	)	)	PUNCT
ejpam-7067	144	11	(	(	PUNCT
ejpam-7067	144	12	2025	2025	NUM
ejpam-7067	144	13	)	)	PUNCT
ejpam-7067	144	14	,	,	PUNCT
ejpam-7067	144	15	7067	7067	NUM
ejpam-7067	144	16	8	8	NUM
ejpam-7067	144	17	of	of	ADP
ejpam-7067	144	18	22	22	NUM
ejpam-7067	144	19	normalized	normalize	VERB
ejpam-7067	144	20	edge	edge	NOUN
ejpam-7067	144	21	dynamics	dynamic	NOUN
ejpam-7067	144	22	and	and	CCONJ
ejpam-7067	144	23	local	local	ADJ
ejpam-7067	144	24	disagreements	disagreement	NOUN
ejpam-7067	144	25	for	for	ADP
ejpam-7067	144	26	each	each	DET
ejpam-7067	144	27	edge	edge	NOUN
ejpam-7067	144	28	e	e	NOUN
ejpam-7067	144	29	=	=	SYM
ejpam-7067	144	30	(	(	PUNCT
ejpam-7067	144	31	i	i	PROPN
ejpam-7067	144	32	,	,	PUNCT
ejpam-7067	144	33	j	j	PROPN
ejpam-7067	144	34	)	)	PUNCT
ejpam-7067	144	35	∈	∈	PROPN
ejpam-7067	144	36	e	e	NOUN
ejpam-7067	144	37	,	,	PUNCT
ejpam-7067	144	38	the	the	DET
ejpam-7067	144	39	scalar	scalar	ADJ
ejpam-7067	144	40	state	state	NOUN
ejpam-7067	144	41	xij(t	xij(t	PROPN
ejpam-7067	144	42	)	)	PUNCT
ejpam-7067	144	43	evolves	evolve	VERB
ejpam-7067	144	44	as	as	ADP
ejpam-7067	144	45	an	an	DET
ejpam-7067	144	46	integrator	integrator	NOUN
ejpam-7067	144	47	ẋij(t	ẋij(t	PROPN
ejpam-7067	144	48	)	)	PUNCT
ejpam-7067	145	1	=	=	SYM
ejpam-7067	145	2	uij(t	uij(t	PROPN
ejpam-7067	145	3	)	)	PUNCT
ejpam-7067	145	4	,	,	PUNCT
ejpam-7067	145	5	xij(0	xij(0	NUM
ejpam-7067	145	6	)	)	PUNCT
ejpam-7067	146	1	∈	∈	PROPN
ejpam-7067	146	2	r	r	NOUN
ejpam-7067	146	3	,	,	PUNCT
ejpam-7067	146	4	with	with	ADP
ejpam-7067	146	5	edge	edge	NOUN
ejpam-7067	146	6	-	-	PUNCT
ejpam-7067	146	7	local	local	ADJ
ejpam-7067	146	8	input	input	NOUN
ejpam-7067	146	9	uij(t	uij(t	PROPN
ejpam-7067	146	10	)	)	PUNCT
ejpam-7067	146	11	.	.	PUNCT
ejpam-7067	147	1	let	let	VERB
ejpam-7067	147	2	zij(t	zij(t	NUM
ejpam-7067	147	3	)	)	PUNCT
ejpam-7067	147	4	:	:	PUNCT
ejpam-7067	148	1	=	=	PUNCT
ejpam-7067	148	2	xij(t)/sij	xij(t)/sij	PROPN
ejpam-7067	148	3	and	and	CCONJ
ejpam-7067	148	4	z	z	NOUN
ejpam-7067	148	5	=	=	PUNCT
ejpam-7067	149	1	d−1	d−1	PROPN
ejpam-7067	149	2	s	s	PART
ejpam-7067	149	3	x	x	NOUN
ejpam-7067	149	4	,	,	PUNCT
ejpam-7067	149	5	so	so	SCONJ
ejpam-7067	149	6	that	that	SCONJ
ejpam-7067	149	7	ż(t	ż(t	X
ejpam-7067	149	8	)	)	PUNCT
ejpam-7067	149	9	=	=	PUNCT
ejpam-7067	150	1	d−1	d−1	PROPN
ejpam-7067	150	2	s	s	PART
ejpam-7067	150	3	ẋ(t	ẋ(t	NOUN
ejpam-7067	150	4	)	)	PUNCT
ejpam-7067	151	1	=	=	PUNCT
ejpam-7067	151	2	d−1	d−1	PROPN
ejpam-7067	151	3	s	s	PART
ejpam-7067	151	4	u(t	u(t	NOUN
ejpam-7067	151	5	)	)	PUNCT
ejpam-7067	151	6	.	.	PUNCT
ejpam-7067	152	1	(	(	PUNCT
ejpam-7067	152	2	10	10	NUM
ejpam-7067	152	3	)	)	PUNCT
ejpam-7067	152	4	denote	denote	NOUN
ejpam-7067	152	5	by	by	ADP
ejpam-7067	152	6	n	n	PROPN
ejpam-7067	152	7	in	in	ADP
ejpam-7067	152	8	e	e	X
ejpam-7067	152	9	(	(	PUNCT
ejpam-7067	152	10	e	e	NOUN
ejpam-7067	152	11	)	)	PUNCT
ejpam-7067	152	12	the	the	DET
ejpam-7067	152	13	in	in	ADP
ejpam-7067	152	14	-	-	PUNCT
ejpam-7067	152	15	neighborhood	neighborhood	NOUN
ejpam-7067	152	16	of	of	ADP
ejpam-7067	152	17	e	e	NOUN
ejpam-7067	152	18	=	=	SYM
ejpam-7067	152	19	(	(	PUNCT
ejpam-7067	152	20	i	i	PROPN
ejpam-7067	152	21	,	,	PUNCT
ejpam-7067	152	22	j	j	PROPN
ejpam-7067	152	23	)	)	PUNCT
ejpam-7067	152	24	in	in	ADP
ejpam-7067	152	25	l(g	l(g	NOUN
ejpam-7067	152	26	)	)	PUNCT
ejpam-7067	152	27	,	,	PUNCT
ejpam-7067	152	28	i.e.	i.e.	X
ejpam-7067	152	29	,	,	PUNCT
ejpam-7067	152	30	the	the	DET
ejpam-7067	152	31	set	set	NOUN
ejpam-7067	152	32	of	of	ADP
ejpam-7067	152	33	edges	edge	NOUN
ejpam-7067	152	34	e′	e′	X
ejpam-7067	152	35	=	=	SYM
ejpam-7067	152	36	(	(	PUNCT
ejpam-7067	152	37	j	j	PROPN
ejpam-7067	152	38	,	,	PUNCT
ejpam-7067	152	39	k	k	PROPN
ejpam-7067	152	40	)	)	PUNCT
ejpam-7067	152	41	whose	whose	DET
ejpam-7067	152	42	heads	head	NOUN
ejpam-7067	152	43	coincide	coincide	VERB
ejpam-7067	152	44	with	with	ADP
ejpam-7067	152	45	the	the	DET
ejpam-7067	152	46	tail	tail	NOUN
ejpam-7067	152	47	of	of	ADP
ejpam-7067	152	48	e.	e.	PROPN
ejpam-7067	152	49	the	the	DET
ejpam-7067	152	50	canonical	canonical	ADJ
ejpam-7067	152	51	edge	edge	NOUN
ejpam-7067	152	52	-	-	PUNCT
ejpam-7067	152	53	local	local	ADJ
ejpam-7067	152	54	disagreement	disagreement	NOUN
ejpam-7067	152	55	is	be	AUX
ejpam-7067	152	56	δe(t	δe(t	PRON
ejpam-7067	152	57	)	)	PUNCT
ejpam-7067	152	58	:	:	PUNCT
ejpam-7067	153	1	=	=	PUNCT
ejpam-7067	153	2	∑	∑	PUNCT
ejpam-7067	153	3	e′∈n	e′∈n	PROPN
ejpam-7067	153	4	in	in	ADP
ejpam-7067	153	5	e	e	PROPN
ejpam-7067	153	6	(	(	PUNCT
ejpam-7067	153	7	e	e	NOUN
ejpam-7067	153	8	)	)	PUNCT
ejpam-7067	153	9	(	(	PUNCT
ejpam-7067	153	10	ze(t)−	ze(t)−	PROPN
ejpam-7067	153	11	ze′(t	ze′(t	PROPN
ejpam-7067	153	12	)	)	PUNCT
ejpam-7067	153	13	)	)	PUNCT
ejpam-7067	154	1	=	=	PUNCT
ejpam-7067	154	2	[	[	PUNCT
ejpam-7067	154	3	lez(t	lez(t	PROPN
ejpam-7067	154	4	)	)	PUNCT
ejpam-7067	154	5	]	]	PUNCT
ejpam-7067	155	1	e	e	X
ejpam-7067	155	2	,	,	PUNCT
ejpam-7067	155	3	(	(	PUNCT
ejpam-7067	155	4	11	11	NUM
ejpam-7067	155	5	)	)	PUNCT
ejpam-7067	155	6	which	which	PRON
ejpam-7067	155	7	equals	equal	VERB
ejpam-7067	155	8	the	the	DET
ejpam-7067	155	9	e	e	NOUN
ejpam-7067	155	10	-	-	NOUN
ejpam-7067	155	11	th	th	VERB
ejpam-7067	155	12	component	component	NOUN
ejpam-7067	155	13	of	of	ADP
ejpam-7067	155	14	lez	lez	PROPN
ejpam-7067	155	15	by	by	ADP
ejpam-7067	155	16	construction.†	construction.†	NOUN
ejpam-7067	155	17	threshold	threshold	NOUN
ejpam-7067	155	18	activation	activation	NOUN
ejpam-7067	155	19	with	with	ADP
ejpam-7067	155	20	hysteresis	hysteresis	NOUN
ejpam-7067	155	21	and	and	CCONJ
ejpam-7067	155	22	saturation	saturation	NOUN
ejpam-7067	155	23	to	to	PART
ejpam-7067	155	24	curtail	curtail	VERB
ejpam-7067	155	25	chatter	chatter	NOUN
ejpam-7067	155	26	/	/	SYM
ejpam-7067	155	27	communication	communication	NOUN
ejpam-7067	155	28	,	,	PUNCT
ejpam-7067	155	29	interactions	interaction	NOUN
ejpam-7067	155	30	are	be	AUX
ejpam-7067	155	31	activated	activate	VERB
ejpam-7067	155	32	only	only	ADV
ejpam-7067	155	33	when	when	SCONJ
ejpam-7067	155	34	disagreements	disagreement	NOUN
ejpam-7067	155	35	are	be	AUX
ejpam-7067	155	36	significant	significant	ADJ
ejpam-7067	155	37	.	.	PUNCT
ejpam-7067	156	1	we	we	PRON
ejpam-7067	156	2	use	use	VERB
ejpam-7067	156	3	a	a	DET
ejpam-7067	156	4	hysteretic	hysteretic	ADJ
ejpam-7067	156	5	threshold	threshold	NOUN
ejpam-7067	156	6	pair	pair	NOUN
ejpam-7067	156	7	0	0	NUM
ejpam-7067	156	8	≤	≤	NUM
ejpam-7067	156	9	αoff	αoff	NOUN
ejpam-7067	156	10	<	<	X
ejpam-7067	156	11	αon	αon	NOUN
ejpam-7067	156	12	and	and	CCONJ
ejpam-7067	156	13	define	define	VERB
ejpam-7067	156	14	the	the	DET
ejpam-7067	156	15	diagonal	diagonal	ADJ
ejpam-7067	156	16	operator	operator	NOUN
ejpam-7067	156	17	φα(z	φα(z	NOUN
ejpam-7067	156	18	)	)	PUNCT
ejpam-7067	156	19	∈	∈	PROPN
ejpam-7067	156	20	rm×m	rm×m	NOUN
ejpam-7067	156	21	with	with	ADP
ejpam-7067	156	22	entries	entry	NOUN
ejpam-7067	156	23	[	[	PUNCT
ejpam-7067	156	24	φα(z	φα(z	NUM
ejpam-7067	156	25	)	)	PUNCT
ejpam-7067	156	26	]	]	PUNCT
ejpam-7067	157	1	ee	ee	PROPN
ejpam-7067	157	2	∈	∈	PROPN
ejpam-7067	157	3			PROPN
ejpam-7067	157	4	{	{	PUNCT
ejpam-7067	157	5	1	1	NUM
ejpam-7067	157	6	}	}	PUNCT
ejpam-7067	157	7	,	,	PUNCT
ejpam-7067	157	8	if	if	SCONJ
ejpam-7067	157	9	∣∣	∣∣	NUM
ejpam-7067	157	10	[	[	X
ejpam-7067	157	11	lez]e	lez]e	X
ejpam-7067	157	12	∣∣	∣∣	ADJ
ejpam-7067	157	13	>	>	X
ejpam-7067	157	14	αon	αon	PROPN
ejpam-7067	157	15	,	,	PUNCT
ejpam-7067	157	16	{	{	PUNCT
ejpam-7067	157	17	0	0	NUM
ejpam-7067	157	18	}	}	PUNCT
ejpam-7067	157	19	,	,	PUNCT
ejpam-7067	157	20	if	if	SCONJ
ejpam-7067	157	21	∣∣	∣∣	NUM
ejpam-7067	157	22	[	[	X
ejpam-7067	157	23	lez]e	lez]e	X
ejpam-7067	157	24	∣∣	∣∣	ADJ
ejpam-7067	157	25	<	<	X
ejpam-7067	157	26	αoff	αoff	NOUN
ejpam-7067	157	27	,	,	PUNCT
ejpam-7067	157	28	{	{	PUNCT
ejpam-7067	157	29	[	[	X
ejpam-7067	157	30	φα(z	φα(z	NUM
ejpam-7067	157	31	−)]ee	−)]ee	PROPN
ejpam-7067	157	32	}	}	PUNCT
ejpam-7067	157	33	,	,	PUNCT
ejpam-7067	157	34	otherwise	otherwise	ADV
ejpam-7067	157	35	,	,	PUNCT
ejpam-7067	157	36	(	(	PUNCT
ejpam-7067	157	37	12	12	NUM
ejpam-7067	157	38	)	)	PUNCT
ejpam-7067	157	39	where	where	SCONJ
ejpam-7067	157	40	z−	z−	PROPN
ejpam-7067	157	41	denotes	denote	VERB
ejpam-7067	157	42	the	the	DET
ejpam-7067	157	43	left	left	ADJ
ejpam-7067	157	44	limit	limit	NOUN
ejpam-7067	157	45	;	;	PUNCT
ejpam-7067	157	46	thus	thus	ADV
ejpam-7067	157	47	φα	φα	X
ejpam-7067	157	48	changes	change	VERB
ejpam-7067	157	49	state	state	NOUN
ejpam-7067	157	50	only	only	ADV
ejpam-7067	157	51	when	when	SCONJ
ejpam-7067	157	52	crossing	cross	VERB
ejpam-7067	157	53	the	the	DET
ejpam-7067	157	54	outer	outer	ADJ
ejpam-7067	157	55	thresholds	threshold	NOUN
ejpam-7067	157	56	.	.	PUNCT
ejpam-7067	158	1	actuator	actuator	NOUN
ejpam-7067	158	2	limits	limit	NOUN
ejpam-7067	158	3	are	be	AUX
ejpam-7067	158	4	modeled	model	VERB
ejpam-7067	158	5	by	by	ADP
ejpam-7067	158	6	the	the	DET
ejpam-7067	158	7	symmetric	symmetric	ADJ
ejpam-7067	158	8	saturation	saturation	NOUN
ejpam-7067	158	9	satω(v	satω(v	PROPN
ejpam-7067	158	10	)	)	PUNCT
ejpam-7067	158	11	:	:	PUNCT
ejpam-7067	158	12	=	=	SYM
ejpam-7067	158	13	sign(v	sign(v	PROPN
ejpam-7067	158	14	)	)	PUNCT
ejpam-7067	158	15	min{|v|	min{|v|	PROPN
ejpam-7067	158	16	,	,	PUNCT
ejpam-7067	158	17	ω	ω	NOUN
ejpam-7067	158	18	}	}	PUNCT
ejpam-7067	158	19	,	,	PUNCT
ejpam-7067	158	20	ω	ω	X
ejpam-7067	158	21	>	>	X
ejpam-7067	158	22	0	0	PROPN
ejpam-7067	158	23	.	.	PUNCT
ejpam-7067	159	1	(	(	PUNCT
ejpam-7067	159	2	13	13	NUM
ejpam-7067	159	3	)	)	PUNCT
ejpam-7067	159	4	the	the	DET
ejpam-7067	159	5	saturation	saturation	NOUN
ejpam-7067	159	6	-	-	PUNCT
ejpam-7067	159	7	aware	aware	ADJ
ejpam-7067	159	8	distributed	distribute	VERB
ejpam-7067	159	9	protocol	protocol	NOUN
ejpam-7067	159	10	in	in	ADP
ejpam-7067	159	11	the	the	DET
ejpam-7067	159	12	original	original	ADJ
ejpam-7067	159	13	coordinates	coordinate	NOUN
ejpam-7067	159	14	is	be	AUX
ejpam-7067	159	15	ẋ(t	ẋ(t	NOUN
ejpam-7067	159	16	)	)	PUNCT
ejpam-7067	160	1	=	=	VERB
ejpam-7067	160	2	satω	satω	NOUN
ejpam-7067	160	3	(	(	PUNCT
ejpam-7067	160	4	−	−	PROPN
ejpam-7067	160	5	γ	γ	X
ejpam-7067	160	6	φα	φα	PROPN
ejpam-7067	160	7	(	(	PUNCT
ejpam-7067	160	8	z(t	z(t	PROPN
ejpam-7067	160	9	)	)	PUNCT
ejpam-7067	160	10	)	)	PUNCT
ejpam-7067	160	11	le	le	X
ejpam-7067	160	12	z(t	z(t	NOUN
ejpam-7067	160	13	)	)	PUNCT
ejpam-7067	160	14	)	)	PUNCT
ejpam-7067	160	15	,	,	PUNCT
ejpam-7067	160	16	z(t	z(t	X
ejpam-7067	160	17	)	)	PUNCT
ejpam-7067	160	18	=	=	PUNCT
ejpam-7067	161	1	d−1	d−1	PROPN
ejpam-7067	161	2	s	s	PART
ejpam-7067	161	3	x(t	x(t	PROPN
ejpam-7067	161	4	)	)	PUNCT
ejpam-7067	161	5	,	,	PUNCT
ejpam-7067	161	6	γ	γ	X
ejpam-7067	161	7	>	>	X
ejpam-7067	161	8	0	0	NUM
ejpam-7067	161	9	,	,	PUNCT
ejpam-7067	161	10	(	(	PUNCT
ejpam-7067	161	11	14	14	NUM
ejpam-7067	161	12	)	)	PUNCT
ejpam-7067	161	13	which	which	PRON
ejpam-7067	161	14	,	,	PUNCT
ejpam-7067	161	15	when	when	SCONJ
ejpam-7067	161	16	the	the	DET
ejpam-7067	161	17	saturation	saturation	NOUN
ejpam-7067	161	18	is	be	AUX
ejpam-7067	161	19	inactive	inactive	ADJ
ejpam-7067	161	20	along	along	ADP
ejpam-7067	161	21	the	the	DET
ejpam-7067	161	22	trajectory	trajectory	NOUN
ejpam-7067	161	23	,	,	PUNCT
ejpam-7067	161	24	reduces	reduce	VERB
ejpam-7067	161	25	to	to	ADP
ejpam-7067	161	26	the	the	DET
ejpam-7067	161	27	unsaturated	unsaturated	ADJ
ejpam-7067	161	28	linear	linear	NOUN
ejpam-7067	161	29	flow	flow	NOUN
ejpam-7067	161	30	ẋ(t	ẋ(t	NOUN
ejpam-7067	161	31	)	)	PUNCT
ejpam-7067	161	32	=	=	SYM
ejpam-7067	161	33	−	−	PROPN
ejpam-7067	161	34	γ	γ	X
ejpam-7067	161	35	φα	φα	PROPN
ejpam-7067	161	36	(	(	PUNCT
ejpam-7067	161	37	z(t	z(t	PROPN
ejpam-7067	161	38	)	)	PUNCT
ejpam-7067	161	39	)	)	PUNCT
ejpam-7067	161	40	le	le	X
ejpam-7067	161	41	z(t	z(t	NOUN
ejpam-7067	161	42	)	)	PUNCT
ejpam-7067	161	43	,	,	PUNCT
ejpam-7067	161	44	ż(t	ż(t	NUM
ejpam-7067	161	45	)	)	PUNCT
ejpam-7067	161	46	=	=	SYM
ejpam-7067	162	1	−	−	PROPN
ejpam-7067	162	2	γ	γ	X
ejpam-7067	162	3	d−1	d−1	PROPN
ejpam-7067	162	4	s	s	X
ejpam-7067	162	5	φα	φα	PROPN
ejpam-7067	162	6	(	(	PUNCT
ejpam-7067	162	7	z(t	z(t	PROPN
ejpam-7067	162	8	)	)	PUNCT
ejpam-7067	162	9	)	)	PUNCT
ejpam-7067	162	10	le	le	X
ejpam-7067	162	11	z(t	z(t	NOUN
ejpam-7067	162	12	)	)	PUNCT
ejpam-7067	162	13	.	.	PUNCT
ejpam-7067	163	1	(	(	PUNCT
ejpam-7067	163	2	15	15	NUM
ejpam-7067	163	3	)	)	PUNCT
ejpam-7067	163	4	†if	†if	NUM
ejpam-7067	163	5	weighted	weight	VERB
ejpam-7067	163	6	edge	edge	NOUN
ejpam-7067	163	7	couplings	coupling	NOUN
ejpam-7067	163	8	are	be	AUX
ejpam-7067	163	9	used	use	VERB
ejpam-7067	163	10	on	on	ADP
ejpam-7067	163	11	l(g	l(g	NOUN
ejpam-7067	163	12	)	)	PUNCT
ejpam-7067	163	13	,	,	PUNCT
ejpam-7067	163	14	then	then	ADV
ejpam-7067	163	15	le	le	PROPN
ejpam-7067	163	16	is	be	AUX
ejpam-7067	163	17	the	the	DET
ejpam-7067	163	18	corresponding	corresponding	ADJ
ejpam-7067	163	19	weighted	weight	VERB
ejpam-7067	163	20	edge	edge	NOUN
ejpam-7067	163	21	-	-	PUNCT
ejpam-7067	163	22	laplacian	laplacian	NOUN
ejpam-7067	163	23	and	and	CCONJ
ejpam-7067	163	24	(	(	PUNCT
ejpam-7067	163	25	11	11	NUM
ejpam-7067	163	26	)	)	PUNCT
ejpam-7067	163	27	holds	hold	VERB
ejpam-7067	163	28	with	with	ADP
ejpam-7067	163	29	weights	weight	NOUN
ejpam-7067	163	30	absorbed	absorb	VERB
ejpam-7067	163	31	into	into	ADP
ejpam-7067	163	32	le	le	PROPN
ejpam-7067	163	33	.	.	PUNCT
ejpam-7067	164	1	m.	m.	PROPN
ejpam-7067	164	2	donganont	donganont	PROPN
ejpam-7067	164	3	et	et	PROPN
ejpam-7067	164	4	al	al	PROPN
ejpam-7067	164	5	.	.	PUNCT
ejpam-7067	164	6	/	/	SYM
ejpam-7067	164	7	eur	eur	PROPN
ejpam-7067	164	8	.	.	PUNCT
ejpam-7067	165	1	j.	j.	PROPN
ejpam-7067	165	2	pure	pure	PROPN
ejpam-7067	165	3	appl	appl	PROPN
ejpam-7067	165	4	.	.	PROPN
ejpam-7067	165	5	math	math	PROPN
ejpam-7067	165	6	,	,	PUNCT
ejpam-7067	165	7	18	18	NUM
ejpam-7067	165	8	(	(	PUNCT
ejpam-7067	165	9	4	4	NUM
ejpam-7067	165	10	)	)	PUNCT
ejpam-7067	165	11	(	(	PUNCT
ejpam-7067	165	12	2025	2025	NUM
ejpam-7067	165	13	)	)	PUNCT
ejpam-7067	165	14	,	,	PUNCT
ejpam-7067	165	15	7067	7067	NUM
ejpam-7067	165	16	9	9	NUM
ejpam-7067	165	17	of	of	ADP
ejpam-7067	165	18	22	22	NUM
ejpam-7067	165	19	low	low	ADJ
ejpam-7067	165	20	-	-	PUNCT
ejpam-7067	165	21	gain	gain	NOUN
ejpam-7067	165	22	variant	variant	NOUN
ejpam-7067	165	23	for	for	ADP
ejpam-7067	165	24	high	high	ADJ
ejpam-7067	165	25	-	-	PUNCT
ejpam-7067	165	26	dispersion	dispersion	NOUN
ejpam-7067	165	27	regimes	regime	NOUN
ejpam-7067	165	28	for	for	ADP
ejpam-7067	165	29	large	large	ADJ
ejpam-7067	165	30	initial	initial	ADJ
ejpam-7067	165	31	dispersion	dispersion	NOUN
ejpam-7067	165	32	or	or	CCONJ
ejpam-7067	165	33	tight	tight	ADJ
ejpam-7067	165	34	input	input	NOUN
ejpam-7067	165	35	bounds	bound	NOUN
ejpam-7067	165	36	,	,	PUNCT
ejpam-7067	165	37	a	a	DET
ejpam-7067	165	38	low	low	ADJ
ejpam-7067	165	39	-	-	PUNCT
ejpam-7067	165	40	gain	gain	NOUN
ejpam-7067	165	41	scaling	scaling	NOUN
ejpam-7067	165	42	mitigates	mitigate	VERB
ejpam-7067	165	43	saturation	saturation	NOUN
ejpam-7067	165	44	at	at	ADP
ejpam-7067	165	45	the	the	DET
ejpam-7067	165	46	cost	cost	NOUN
ejpam-7067	165	47	of	of	ADP
ejpam-7067	165	48	speed	speed	NOUN
ejpam-7067	165	49	.	.	PUNCT
ejpam-7067	166	1	introducing	introduce	VERB
ejpam-7067	166	2	0	0	NUM
ejpam-7067	166	3	<	<	X
ejpam-7067	166	4	ε	ε	PROPN
ejpam-7067	166	5	≤	≤	ADJ
ejpam-7067	166	6	1	1	NUM
ejpam-7067	166	7	,	,	PUNCT
ejpam-7067	166	8	we	we	PRON
ejpam-7067	166	9	set	set	VERB
ejpam-7067	166	10	ẋ(t	ẋ(t	NOUN
ejpam-7067	166	11	)	)	PUNCT
ejpam-7067	167	1	=	=	VERB
ejpam-7067	167	2	satω	satω	NOUN
ejpam-7067	167	3	(	(	PUNCT
ejpam-7067	167	4	−	−	PROPN
ejpam-7067	167	5	ε	ε	PROPN
ejpam-7067	167	6	γ	γ	X
ejpam-7067	167	7	φα	φα	PROPN
ejpam-7067	167	8	(	(	PUNCT
ejpam-7067	167	9	z(t	z(t	PROPN
ejpam-7067	167	10	)	)	PUNCT
ejpam-7067	167	11	)	)	PUNCT
ejpam-7067	167	12	le	le	X
ejpam-7067	167	13	z(t	z(t	NOUN
ejpam-7067	167	14	)	)	PUNCT
ejpam-7067	167	15	)	)	PUNCT
ejpam-7067	167	16	,	,	PUNCT
ejpam-7067	167	17	(	(	PUNCT
ejpam-7067	167	18	16	16	NUM
ejpam-7067	167	19	)	)	PUNCT
ejpam-7067	167	20	which	which	PRON
ejpam-7067	167	21	coincides	coincide	VERB
ejpam-7067	167	22	with	with	ADP
ejpam-7067	167	23	(	(	PUNCT
ejpam-7067	167	24	14	14	NUM
ejpam-7067	167	25	)	)	PUNCT
ejpam-7067	167	26	at	at	ADP
ejpam-7067	167	27	ε	ε	PROPN
ejpam-7067	167	28	=	=	SYM
ejpam-7067	167	29	1	1	NUM
ejpam-7067	167	30	and	and	CCONJ
ejpam-7067	167	31	otherwise	otherwise	ADV
ejpam-7067	167	32	slows	slow	VERB
ejpam-7067	167	33	the	the	DET
ejpam-7067	167	34	effective	effective	ADJ
ejpam-7067	167	35	feedback	feedback	NOUN
ejpam-7067	167	36	.	.	PUNCT
ejpam-7067	168	1	when	when	SCONJ
ejpam-7067	168	2	unsaturated	unsaturate	VERB
ejpam-7067	168	3	,	,	PUNCT
ejpam-7067	168	4	(	(	PUNCT
ejpam-7067	168	5	16	16	NUM
ejpam-7067	168	6	)	)	PUNCT
ejpam-7067	168	7	reduces	reduce	VERB
ejpam-7067	168	8	to	to	ADP
ejpam-7067	168	9	(	(	PUNCT
ejpam-7067	168	10	15	15	NUM
ejpam-7067	168	11	)	)	PUNCT
ejpam-7067	168	12	with	with	ADP
ejpam-7067	168	13	γ	γ	PROPN
ejpam-7067	168	14	replaced	replace	VERB
ejpam-7067	168	15	by	by	ADP
ejpam-7067	168	16	εγ	εγ	X
ejpam-7067	168	17	.	.	PUNCT
ejpam-7067	169	1	compact	compact	ADJ
ejpam-7067	169	2	forms	form	NOUN
ejpam-7067	169	3	,	,	PUNCT
ejpam-7067	169	4	locality	locality	NOUN
ejpam-7067	169	5	,	,	PUNCT
ejpam-7067	169	6	and	and	CCONJ
ejpam-7067	169	7	implementation	implementation	NOUN
ejpam-7067	169	8	using	use	VERB
ejpam-7067	169	9	(	(	PUNCT
ejpam-7067	169	10	11	11	NUM
ejpam-7067	169	11	)	)	PUNCT
ejpam-7067	169	12	,	,	PUNCT
ejpam-7067	169	13	the	the	DET
ejpam-7067	169	14	input	input	NOUN
ejpam-7067	169	15	vector	vector	NOUN
ejpam-7067	169	16	is	be	AUX
ejpam-7067	169	17	u(t	u(t	NOUN
ejpam-7067	169	18	)	)	PUNCT
ejpam-7067	169	19	=	=	PUNCT
ejpam-7067	170	1	satω(−	satω(−	PROPN
ejpam-7067	170	2	γ	γ	PROPN
ejpam-7067	170	3	φα(z)lez	φα(z)lez	PROPN
ejpam-7067	170	4	)	)	PUNCT
ejpam-7067	170	5	or	or	CCONJ
ejpam-7067	170	6	u(t	u(t	NOUN
ejpam-7067	170	7	)	)	PUNCT
ejpam-7067	171	1	=	=	NOUN
ejpam-7067	171	2	satω(−	satω(−	NOUN
ejpam-7067	171	3	ε	ε	PROPN
ejpam-7067	171	4	γ	γ	PROPN
ejpam-7067	171	5	φα(z)lez	φα(z)lez	PROPN
ejpam-7067	171	6	)	)	PUNCT
ejpam-7067	171	7	,	,	PUNCT
ejpam-7067	171	8	and	and	CCONJ
ejpam-7067	171	9	the	the	DET
ejpam-7067	171	10	closed	closed	ADJ
ejpam-7067	171	11	-	-	PUNCT
ejpam-7067	171	12	loop	loop	NOUN
ejpam-7067	171	13	dynamics	dynamic	NOUN
ejpam-7067	171	14	follow	follow	VERB
ejpam-7067	171	15	from	from	ADP
ejpam-7067	171	16	ẋ	ẋ	PROPN
ejpam-7067	172	1	=	=	SYM
ejpam-7067	172	2	u	u	PROPN
ejpam-7067	172	3	,	,	PUNCT
ejpam-7067	172	4	z	z	PROPN
ejpam-7067	172	5	=	=	PUNCT
ejpam-7067	173	1	d−1	d−1	PROPN
ejpam-7067	173	2	s	s	PROPN
ejpam-7067	173	3	x.	x.	NOUN
ejpam-7067	173	4	each	each	DET
ejpam-7067	173	5	component	component	NOUN
ejpam-7067	173	6	ue	ue	PROPN
ejpam-7067	173	7	depends	depend	VERB
ejpam-7067	173	8	only	only	ADV
ejpam-7067	173	9	on	on	ADP
ejpam-7067	173	10	ze	ze	PROPN
ejpam-7067	173	11	and	and	CCONJ
ejpam-7067	173	12	{	{	PUNCT
ejpam-7067	173	13	ze′	ze′	NUM
ejpam-7067	173	14	:	:	PUNCT
ejpam-7067	173	15	e′	e′	X
ejpam-7067	173	16	∈	∈	PROPN
ejpam-7067	173	17	n	n	CCONJ
ejpam-7067	173	18	in	in	ADP
ejpam-7067	173	19	e	e	X
ejpam-7067	173	20	(	(	PUNCT
ejpam-7067	173	21	e	e	NOUN
ejpam-7067	173	22	)	)	PUNCT
ejpam-7067	173	23	}	}	PUNCT
ejpam-7067	173	24	,	,	PUNCT
ejpam-7067	173	25	confirming	confirm	VERB
ejpam-7067	173	26	edge	edge	NOUN
ejpam-7067	173	27	-	-	PUNCT
ejpam-7067	173	28	local	local	ADJ
ejpam-7067	173	29	implementability	implementability	NOUN
ejpam-7067	173	30	on	on	ADP
ejpam-7067	173	31	l(g	l(g	NOUN
ejpam-7067	173	32	)	)	PUNCT
ejpam-7067	173	33	.	.	PUNCT
ejpam-7067	174	1	in	in	ADP
ejpam-7067	174	2	discrete	discrete	ADJ
ejpam-7067	174	3	-	-	PUNCT
ejpam-7067	174	4	time	time	NOUN
ejpam-7067	174	5	implementations	implementation	NOUN
ejpam-7067	174	6	with	with	ADP
ejpam-7067	174	7	sampling	sample	VERB
ejpam-7067	174	8	period	period	NOUN
ejpam-7067	174	9	h	h	NOUN
ejpam-7067	174	10	>	>	X
ejpam-7067	174	11	0	0	PROPN
ejpam-7067	174	12	,	,	PUNCT
ejpam-7067	174	13	the	the	DET
ejpam-7067	174	14	update	update	NOUN
ejpam-7067	174	15	xk+1	xk+1	PUNCT
ejpam-7067	174	16	=	=	SYM
ejpam-7067	174	17	xk	xk	PROPN
ejpam-7067	174	18	+	+	CCONJ
ejpam-7067	174	19	h	h	NOUN
ejpam-7067	174	20	satω	satω	NOUN
ejpam-7067	174	21	(	(	PUNCT
ejpam-7067	174	22	−	−	PROPN
ejpam-7067	174	23	γ	γ	X
ejpam-7067	174	24	φα(z	φα(z	NUM
ejpam-7067	174	25	k)le	k)le	PROPN
ejpam-7067	174	26	z	z	PROPN
ejpam-7067	174	27	k	k	PROPN
ejpam-7067	174	28	)	)	PUNCT
ejpam-7067	174	29	,	,	PUNCT
ejpam-7067	174	30	zk	zk	PROPN
ejpam-7067	174	31	=	=	PUNCT
ejpam-7067	175	1	d−1	d−1	PROPN
ejpam-7067	175	2	s	s	PART
ejpam-7067	175	3	xk	xk	PROPN
ejpam-7067	175	4	,	,	PUNCT
ejpam-7067	175	5	inherits	inherit	VERB
ejpam-7067	175	6	the	the	DET
ejpam-7067	175	7	same	same	ADJ
ejpam-7067	175	8	locality	locality	NOUN
ejpam-7067	175	9	;	;	PUNCT
ejpam-7067	175	10	hysteresis	hysteresis	NOUN
ejpam-7067	175	11	(	(	PUNCT
ejpam-7067	175	12	12	12	NUM
ejpam-7067	175	13	)	)	PUNCT
ejpam-7067	175	14	is	be	AUX
ejpam-7067	175	15	updated	update	VERB
ejpam-7067	175	16	eventwise	eventwise	ADJ
ejpam-7067	175	17	at	at	ADP
ejpam-7067	175	18	the	the	DET
ejpam-7067	175	19	sample	sample	NOUN
ejpam-7067	175	20	level	level	NOUN
ejpam-7067	175	21	.	.	PUNCT
ejpam-7067	176	1	well	well	ADV
ejpam-7067	176	2	-	-	PUNCT
ejpam-7067	176	3	posedness	posedness	NOUN
ejpam-7067	176	4	and	and	CCONJ
ejpam-7067	176	5	solution	solution	NOUN
ejpam-7067	176	6	concept	concept	VERB
ejpam-7067	176	7	the	the	DET
ejpam-7067	176	8	right	right	ADJ
ejpam-7067	176	9	-	-	PUNCT
ejpam-7067	176	10	hand	hand	NOUN
ejpam-7067	176	11	sides	side	NOUN
ejpam-7067	176	12	in	in	ADP
ejpam-7067	176	13	(	(	PUNCT
ejpam-7067	176	14	14)–(16	14)–(16	NUM
ejpam-7067	176	15	)	)	PUNCT
ejpam-7067	176	16	are	be	AUX
ejpam-7067	176	17	discontinuous	discontinuous	ADJ
ejpam-7067	176	18	on	on	ADP
ejpam-7067	176	19	switching	switch	VERB
ejpam-7067	176	20	surfaces	surface	NOUN
ejpam-7067	176	21	∣∣[lez]e	∣∣[lez]e	VERB
ejpam-7067	176	22	∣∣	∣∣	X
ejpam-7067	176	23	=	=	SYM
ejpam-7067	176	24	αon	αon	PROPN
ejpam-7067	176	25	,	,	PUNCT
ejpam-7067	176	26	αoff	αoff	NOUN
ejpam-7067	176	27	and	and	CCONJ
ejpam-7067	176	28	piecewise	piecewise	NOUN
ejpam-7067	176	29	affine	affine	NOUN
ejpam-7067	176	30	under	under	ADP
ejpam-7067	176	31	saturation	saturation	NOUN
ejpam-7067	176	32	.	.	PUNCT
ejpam-7067	177	1	we	we	PRON
ejpam-7067	177	2	therefore	therefore	ADV
ejpam-7067	177	3	interpret	interpret	VERB
ejpam-7067	177	4	solutions	solution	NOUN
ejpam-7067	177	5	in	in	ADP
ejpam-7067	177	6	the	the	DET
ejpam-7067	177	7	carathéodory	carathéodory	ADJ
ejpam-7067	177	8	sense	sense	NOUN
ejpam-7067	177	9	;	;	PUNCT
ejpam-7067	177	10	when	when	SCONJ
ejpam-7067	177	11	multi	multi	ADJ
ejpam-7067	177	12	-	-	ADJ
ejpam-7067	177	13	valued	value	VERB
ejpam-7067	177	14	selections	selection	NOUN
ejpam-7067	177	15	arise	arise	VERB
ejpam-7067	177	16	(	(	PUNCT
ejpam-7067	177	17	hysteresis	hysteresis	NOUN
ejpam-7067	177	18	boundaries	boundary	NOUN
ejpam-7067	177	19	,	,	PUNCT
ejpam-7067	177	20	kinks	kink	NOUN
ejpam-7067	177	21	of	of	ADP
ejpam-7067	177	22	satω	satω	NOUN
ejpam-7067	177	23	)	)	PUNCT
ejpam-7067	177	24	,	,	PUNCT
ejpam-7067	177	25	we	we	PRON
ejpam-7067	177	26	use	use	VERB
ejpam-7067	177	27	filippov	filippov	ADJ
ejpam-7067	177	28	regularization	regularization	NOUN
ejpam-7067	177	29	.	.	PUNCT
ejpam-7067	178	1	under	under	ADP
ejpam-7067	178	2	assumption	assumption	NOUN
ejpam-7067	178	3	1	1	NUM
ejpam-7067	178	4	and	and	CCONJ
ejpam-7067	178	5	standard	standard	ADJ
ejpam-7067	178	6	locally	locally	ADV
ejpam-7067	178	7	boundedness	boundedness	NOUN
ejpam-7067	178	8	and	and	CCONJ
ejpam-7067	178	9	outer	outer	ADJ
ejpam-7067	178	10	semicontinuity	semicontinuity	NOUN
ejpam-7067	178	11	of	of	ADP
ejpam-7067	178	12	the	the	DET
ejpam-7067	178	13	set	set	NOUN
ejpam-7067	178	14	-	-	PUNCT
ejpam-7067	178	15	valued	value	VERB
ejpam-7067	178	16	map	map	NOUN
ejpam-7067	178	17	,	,	PUNCT
ejpam-7067	178	18	maximal	maximal	ADJ
ejpam-7067	178	19	solutions	solution	NOUN
ejpam-7067	178	20	exist	exist	VERB
ejpam-7067	178	21	and	and	CCONJ
ejpam-7067	178	22	are	be	AUX
ejpam-7067	178	23	closed	close	VERB
ejpam-7067	178	24	with	with	ADP
ejpam-7067	178	25	respect	respect	NOUN
ejpam-7067	178	26	to	to	ADP
ejpam-7067	178	27	activation	activation	NOUN
ejpam-7067	178	28	/	/	SYM
ejpam-7067	178	29	deactivation	deactivation	NOUN
ejpam-7067	178	30	events	event	NOUN
ejpam-7067	178	31	,	,	PUNCT
ejpam-7067	178	32	enabling	enable	VERB
ejpam-7067	178	33	lyapunov	lyapunov	PROPN
ejpam-7067	178	34	–	–	PUNCT
ejpam-7067	178	35	lasalle	lasalle	NOUN
ejpam-7067	178	36	arguments	argument	NOUN
ejpam-7067	178	37	for	for	ADP
ejpam-7067	178	38	discontinuous	discontinuous	ADJ
ejpam-7067	178	39	systems	system	NOUN
ejpam-7067	178	40	in	in	ADP
ejpam-7067	178	41	section	section	NOUN
ejpam-7067	178	42	4	4	NUM
ejpam-7067	178	43	.	.	PUNCT
ejpam-7067	179	1	design	design	NOUN
ejpam-7067	179	2	guidance	guidance	NOUN
ejpam-7067	179	3	and	and	CCONJ
ejpam-7067	179	4	operating	operating	NOUN
ejpam-7067	179	5	regimes	regime	NOUN
ejpam-7067	179	6	the	the	DET
ejpam-7067	179	7	gain	gain	NOUN
ejpam-7067	179	8	γ	γ	X
ejpam-7067	179	9	(	(	PUNCT
ejpam-7067	179	10	or	or	CCONJ
ejpam-7067	179	11	εγ	εγ	NOUN
ejpam-7067	179	12	)	)	PUNCT
ejpam-7067	179	13	sets	set	VERB
ejpam-7067	179	14	the	the	DET
ejpam-7067	179	15	nominal	nominal	ADJ
ejpam-7067	179	16	rate	rate	NOUN
ejpam-7067	179	17	in	in	ADP
ejpam-7067	179	18	unsaturated	unsaturated	ADJ
ejpam-7067	179	19	operation	operation	NOUN
ejpam-7067	179	20	;	;	PUNCT
ejpam-7067	179	21	the	the	DET
ejpam-7067	179	22	threshold	threshold	NOUN
ejpam-7067	179	23	band	band	NOUN
ejpam-7067	179	24	[	[	X
ejpam-7067	179	25	αoff	αoff	NOUN
ejpam-7067	179	26	,	,	PUNCT
ejpam-7067	179	27	αon	αon	PROPN
ejpam-7067	179	28	]	]	PUNCT
ejpam-7067	179	29	trades	trade	VERB
ejpam-7067	179	30	activation	activation	NOUN
ejpam-7067	179	31	frequency	frequency	NOUN
ejpam-7067	179	32	and	and	CCONJ
ejpam-7067	179	33	control	control	VERB
ejpam-7067	179	34	energy	energy	NOUN
ejpam-7067	179	35	against	against	ADP
ejpam-7067	179	36	speed	speed	NOUN
ejpam-7067	179	37	and	and	CCONJ
ejpam-7067	179	38	accuracy	accuracy	NOUN
ejpam-7067	179	39	.	.	PUNCT
ejpam-7067	180	1	a	a	DET
ejpam-7067	180	2	practical	practical	ADJ
ejpam-7067	180	3	starting	starting	NOUN
ejpam-7067	180	4	rule	rule	NOUN
ejpam-7067	180	5	that	that	PRON
ejpam-7067	180	6	avoids	avoid	VERB
ejpam-7067	180	7	initial	initial	ADJ
ejpam-7067	180	8	saturation	saturation	NOUN
ejpam-7067	180	9	is	be	AUX
ejpam-7067	180	10	ε	ε	PROPN
ejpam-7067	180	11	≤	≤	NUM
ejpam-7067	180	12	min	min	NOUN
ejpam-7067	180	13	{	{	PUNCT
ejpam-7067	180	14	1	1	NUM
ejpam-7067	180	15	,	,	PUNCT
ejpam-7067	180	16	ω	ω	PROPN
ejpam-7067	180	17	γ	γ	X
ejpam-7067	180	18	∥∥φα	∥∥φα	PROPN
ejpam-7067	180	19	(	(	PUNCT
ejpam-7067	180	20	z(0	z(0	PROPN
ejpam-7067	180	21	)	)	PUNCT
ejpam-7067	180	22	)	)	PUNCT
ejpam-7067	180	23	lez(0	lez(0	ADV
ejpam-7067	180	24	)	)	PUNCT
ejpam-7067	181	1	∥∥	∥∥	X
ejpam-7067	182	1	∞	∞	PROPN
ejpam-7067	182	2	+	+	CCONJ
ejpam-7067	182	3	η	η	PROPN
ejpam-7067	182	4	}	}	PUNCT
ejpam-7067	182	5	,	,	PUNCT
ejpam-7067	182	6	η	η	PROPN
ejpam-7067	182	7	>	>	X
ejpam-7067	182	8	0	0	NUM
ejpam-7067	182	9	,	,	PUNCT
ejpam-7067	182	10	(	(	PUNCT
ejpam-7067	182	11	17	17	NUM
ejpam-7067	182	12	)	)	PUNCT
ejpam-7067	182	13	with	with	ADP
ejpam-7067	182	14	η	η	PROPN
ejpam-7067	182	15	a	a	DET
ejpam-7067	182	16	small	small	ADJ
ejpam-7067	182	17	margin	margin	NOUN
ejpam-7067	182	18	.	.	PUNCT
ejpam-7067	183	1	if	if	SCONJ
ejpam-7067	183	2	the	the	DET
ejpam-7067	183	3	initial	initial	ADJ
ejpam-7067	183	4	scaled	scaled	ADJ
ejpam-7067	183	5	dispersion	dispersion	NOUN
ejpam-7067	183	6	satisfies	satisfy	VERB
ejpam-7067	183	7	a	a	DET
ejpam-7067	183	8	verifiable	verifiable	ADJ
ejpam-7067	183	9	safe	safe	ADJ
ejpam-7067	183	10	-	-	PUNCT
ejpam-7067	183	11	dispersion	dispersion	NOUN
ejpam-7067	183	12	bound	bind	VERB
ejpam-7067	183	13	(	(	PUNCT
ejpam-7067	183	14	see	see	VERB
ejpam-7067	183	15	(	(	PUNCT
ejpam-7067	183	16	9	9	NUM
ejpam-7067	183	17	)	)	PUNCT
ejpam-7067	183	18	and	and	CCONJ
ejpam-7067	183	19	its	its	PRON
ejpam-7067	183	20	spectral	spectral	ADJ
ejpam-7067	183	21	tightenings	tightening	NOUN
ejpam-7067	183	22	)	)	PUNCT
ejpam-7067	183	23	,	,	PUNCT
ejpam-7067	183	24	saturation	saturation	NOUN
ejpam-7067	183	25	remains	remain	VERB
ejpam-7067	183	26	inactive	inactive	ADJ
ejpam-7067	183	27	and	and	CCONJ
ejpam-7067	183	28	(	(	PUNCT
ejpam-7067	183	29	15	15	NUM
ejpam-7067	183	30	)	)	PUNCT
ejpam-7067	183	31	drives	drive	VERB
ejpam-7067	183	32	z	z	PROPN
ejpam-7067	183	33	m.	m.	NOUN
ejpam-7067	184	1	donganont	donganont	PROPN
ejpam-7067	184	2	et	et	PROPN
ejpam-7067	184	3	al	al	PROPN
ejpam-7067	184	4	.	.	PUNCT
ejpam-7067	184	5	/	/	SYM
ejpam-7067	184	6	eur	eur	PROPN
ejpam-7067	184	7	.	.	PUNCT
ejpam-7067	185	1	j.	j.	PROPN
ejpam-7067	185	2	pure	pure	PROPN
ejpam-7067	185	3	appl	appl	PROPN
ejpam-7067	185	4	.	.	PROPN
ejpam-7067	185	5	math	math	PROPN
ejpam-7067	185	6	,	,	PUNCT
ejpam-7067	185	7	18	18	NUM
ejpam-7067	185	8	(	(	PUNCT
ejpam-7067	185	9	4	4	NUM
ejpam-7067	185	10	)	)	PUNCT
ejpam-7067	185	11	(	(	PUNCT
ejpam-7067	185	12	2025	2025	NUM
ejpam-7067	185	13	)	)	PUNCT
ejpam-7067	185	14	,	,	PUNCT
ejpam-7067	185	15	7067	7067	NUM
ejpam-7067	185	16	10	10	NUM
ejpam-7067	185	17	of	of	ADP
ejpam-7067	185	18	22	22	NUM
ejpam-7067	185	19	to	to	ADP
ejpam-7067	185	20	global	global	ADJ
ejpam-7067	185	21	scaled	scale	VERB
ejpam-7067	185	22	consensus	consensus	NOUN
ejpam-7067	185	23	.	.	PUNCT
ejpam-7067	186	1	otherwise	otherwise	ADV
ejpam-7067	186	2	,	,	PUNCT
ejpam-7067	186	3	the	the	DET
ejpam-7067	186	4	low	low	ADJ
ejpam-7067	186	5	-	-	PUNCT
ejpam-7067	186	6	gain	gain	NOUN
ejpam-7067	186	7	variant	variant	NOUN
ejpam-7067	186	8	(	(	PUNCT
ejpam-7067	186	9	16	16	NUM
ejpam-7067	186	10	)	)	PUNCT
ejpam-7067	186	11	enforces	enforce	VERB
ejpam-7067	186	12	bounded	bound	VERB
ejpam-7067	186	13	inputs	input	NOUN
ejpam-7067	186	14	and	and	CCONJ
ejpam-7067	186	15	guarantees	guarantee	VERB
ejpam-7067	186	16	entry	entry	NOUN
ejpam-7067	186	17	into	into	ADP
ejpam-7067	186	18	a	a	DET
ejpam-7067	186	19	forward	forward	ADV
ejpam-7067	186	20	-	-	PUNCT
ejpam-7067	186	21	invariant	invariant	ADJ
ejpam-7067	186	22	band	band	NOUN
ejpam-7067	186	23	whose	whose	DET
ejpam-7067	186	24	radius	radius	NOUN
ejpam-7067	186	25	will	will	AUX
ejpam-7067	186	26	be	be	AUX
ejpam-7067	186	27	quantified	quantify	VERB
ejpam-7067	186	28	as	as	ADP
ejpam-7067	186	29	a	a	DET
ejpam-7067	186	30	function	function	NOUN
ejpam-7067	186	31	of	of	ADP
ejpam-7067	186	32	(	(	PUNCT
ejpam-7067	186	33	αon	αon	PROPN
ejpam-7067	186	34	,	,	PUNCT
ejpam-7067	186	35	αoff	αoff	NOUN
ejpam-7067	186	36	,	,	PUNCT
ejpam-7067	186	37	ε	ε	PROPN
ejpam-7067	186	38	,	,	PUNCT
ejpam-7067	186	39	γ	γ	X
ejpam-7067	186	40	,	,	PUNCT
ejpam-7067	186	41	ω	ω	NUM
ejpam-7067	186	42	)	)	PUNCT
ejpam-7067	186	43	and	and	CCONJ
ejpam-7067	186	44	spectral	spectral	ADJ
ejpam-7067	186	45	characteristics	characteristic	NOUN
ejpam-7067	186	46	of	of	ADP
ejpam-7067	186	47	le	le	X
ejpam-7067	186	48	in	in	ADP
ejpam-7067	186	49	section	section	NOUN
ejpam-7067	186	50	4	4	NUM
ejpam-7067	186	51	.	.	PUNCT
ejpam-7067	187	1	in	in	ADP
ejpam-7067	187	2	simulations	simulation	NOUN
ejpam-7067	187	3	(	(	PUNCT
ejpam-7067	187	4	section	section	NOUN
ejpam-7067	187	5	5	5	NUM
ejpam-7067	187	6	)	)	PUNCT
ejpam-7067	187	7	,	,	PUNCT
ejpam-7067	187	8	we	we	PRON
ejpam-7067	187	9	will	will	AUX
ejpam-7067	187	10	also	also	ADV
ejpam-7067	187	11	report	report	VERB
ejpam-7067	187	12	activation	activation	NOUN
ejpam-7067	187	13	ratio	ratio	NOUN
ejpam-7067	187	14	,	,	PUNCT
ejpam-7067	187	15	control	control	NOUN
ejpam-7067	187	16	usage	usage	NOUN
ejpam-7067	187	17	∫	∫	PROPN
ejpam-7067	187	18	∥u(t)∥1	∥u(t)∥1	PROPN
ejpam-7067	188	1	dt	dt	PROPN
ejpam-7067	188	2	,	,	PUNCT
ejpam-7067	188	3	quasi	quasi	ADJ
ejpam-7067	188	4	-	-	ADJ
ejpam-7067	188	5	consensus	consensus	ADJ
ejpam-7067	188	6	radius	radius	NOUN
ejpam-7067	188	7	,	,	PUNCT
ejpam-7067	188	8	and	and	CCONJ
ejpam-7067	188	9	time	time	NOUN
ejpam-7067	188	10	-	-	PUNCT
ejpam-7067	188	11	to	to	ADP
ejpam-7067	188	12	-	-	PUNCT
ejpam-7067	188	13	ε	ε	PROPN
ejpam-7067	188	14	convergence	convergence	NOUN
ejpam-7067	188	15	as	as	ADP
ejpam-7067	188	16	performance	performance	NOUN
ejpam-7067	188	17	indicators	indicator	NOUN
ejpam-7067	188	18	.	.	PUNCT
ejpam-7067	189	1	in	in	ADP
ejpam-7067	189	2	summary	summary	NOUN
ejpam-7067	189	3	,	,	PUNCT
ejpam-7067	189	4	the	the	DET
ejpam-7067	189	5	protocol	protocol	NOUN
ejpam-7067	189	6	family	family	NOUN
ejpam-7067	189	7	(	(	PUNCT
ejpam-7067	189	8	14)–(16	14)–(16	NUM
ejpam-7067	189	9	)	)	PUNCT
ejpam-7067	189	10	acts	act	VERB
ejpam-7067	189	11	on	on	ADP
ejpam-7067	189	12	normalized	normalize	VERB
ejpam-7067	189	13	edge	edge	NOUN
ejpam-7067	189	14	coordinates	coordinate	NOUN
ejpam-7067	189	15	,	,	PUNCT
ejpam-7067	189	16	activates	activate	VERB
ejpam-7067	189	17	only	only	ADV
ejpam-7067	189	18	when	when	SCONJ
ejpam-7067	189	19	disagreements	disagreement	NOUN
ejpam-7067	189	20	warrant	warrant	VERB
ejpam-7067	189	21	correction	correction	NOUN
ejpam-7067	189	22	(	(	PUNCT
ejpam-7067	189	23	with	with	ADP
ejpam-7067	189	24	hysteresis	hysteresis	NOUN
ejpam-7067	189	25	to	to	PART
ejpam-7067	189	26	prevent	prevent	VERB
ejpam-7067	189	27	chatter	chatter	NOUN
ejpam-7067	189	28	)	)	PUNCT
ejpam-7067	189	29	,	,	PUNCT
ejpam-7067	189	30	and	and	CCONJ
ejpam-7067	189	31	respects	respect	VERB
ejpam-7067	189	32	actuator	actuator	NOUN
ejpam-7067	189	33	bounds	bound	NOUN
ejpam-7067	189	34	by	by	ADP
ejpam-7067	189	35	construction	construction	NOUN
ejpam-7067	189	36	.	.	PUNCT
ejpam-7067	190	1	these	these	DET
ejpam-7067	190	2	features	feature	NOUN
ejpam-7067	190	3	address	address	VERB
ejpam-7067	190	4	the	the	DET
ejpam-7067	190	5	reviewers	reviewer	NOUN
ejpam-7067	190	6	’	’	PART
ejpam-7067	190	7	requests	request	NOUN
ejpam-7067	190	8	on	on	ADP
ejpam-7067	190	9	locality	locality	NOUN
ejpam-7067	190	10	,	,	PUNCT
ejpam-7067	190	11	well	well	ADJ
ejpam-7067	190	12	-	-	PUNCT
ejpam-7067	190	13	posedness	posedness	NOUN
ejpam-7067	190	14	,	,	PUNCT
ejpam-7067	190	15	robustness	robustness	NOUN
ejpam-7067	190	16	to	to	ADP
ejpam-7067	190	17	saturation	saturation	NOUN
ejpam-7067	190	18	,	,	PUNCT
ejpam-7067	190	19	and	and	CCONJ
ejpam-7067	190	20	interpretable	interpretable	ADJ
ejpam-7067	190	21	parameter	parameter	NOUN
ejpam-7067	190	22	trade	trade	NOUN
ejpam-7067	190	23	-	-	PUNCT
ejpam-7067	190	24	offs	off	NOUN
ejpam-7067	190	25	,	,	PUNCT
ejpam-7067	190	26	and	and	CCONJ
ejpam-7067	190	27	they	they	PRON
ejpam-7067	190	28	set	set	VERB
ejpam-7067	190	29	up	up	ADP
ejpam-7067	190	30	the	the	DET
ejpam-7067	190	31	convergence	convergence	NOUN
ejpam-7067	190	32	analysis	analysis	NOUN
ejpam-7067	190	33	in	in	ADP
ejpam-7067	190	34	section	section	NOUN
ejpam-7067	190	35	4	4	NUM
ejpam-7067	190	36	.	.	NOUN
ejpam-7067	190	37	4	4	NUM
ejpam-7067	190	38	.	.	X
ejpam-7067	190	39	main	main	ADJ
ejpam-7067	190	40	results	result	NOUN
ejpam-7067	190	41	this	this	DET
ejpam-7067	190	42	section	section	NOUN
ejpam-7067	190	43	develops	develop	VERB
ejpam-7067	190	44	rigorous	rigorous	ADJ
ejpam-7067	190	45	convergence	convergence	NOUN
ejpam-7067	190	46	guarantees	guarantee	NOUN
ejpam-7067	190	47	for	for	ADP
ejpam-7067	190	48	the	the	DET
ejpam-7067	190	49	threshold	threshold	NOUN
ejpam-7067	190	50	-	-	PUNCT
ejpam-7067	190	51	activated	activate	VERB
ejpam-7067	190	52	,	,	PUNCT
ejpam-7067	190	53	saturation	saturation	NOUN
ejpam-7067	190	54	-	-	PUNCT
ejpam-7067	190	55	aware	aware	ADJ
ejpam-7067	190	56	edge	edge	NOUN
ejpam-7067	190	57	protocol	protocol	NOUN
ejpam-7067	190	58	introduced	introduce	VERB
ejpam-7067	190	59	in	in	ADP
ejpam-7067	190	60	section	section	NOUN
ejpam-7067	190	61	3	3	NUM
ejpam-7067	190	62	.	.	PUNCT
ejpam-7067	191	1	we	we	PRON
ejpam-7067	191	2	begin	begin	VERB
ejpam-7067	191	3	by	by	ADP
ejpam-7067	191	4	analyzing	analyze	VERB
ejpam-7067	191	5	the	the	DET
ejpam-7067	191	6	unsaturated	unsaturated	ADJ
ejpam-7067	191	7	regime	regime	NOUN
ejpam-7067	191	8	,	,	PUNCT
ejpam-7067	191	9	where	where	SCONJ
ejpam-7067	191	10	the	the	DET
ejpam-7067	191	11	closed	closed	ADJ
ejpam-7067	191	12	-	-	PUNCT
ejpam-7067	191	13	loop	loop	NOUN
ejpam-7067	191	14	dynamics	dynamic	NOUN
ejpam-7067	191	15	are	be	AUX
ejpam-7067	191	16	linear	linear	ADJ
ejpam-7067	191	17	(	(	PUNCT
ejpam-7067	191	18	time	time	NOUN
ejpam-7067	191	19	-	-	PUNCT
ejpam-7067	191	20	varying	vary	VERB
ejpam-7067	191	21	through	through	ADP
ejpam-7067	191	22	activation	activation	NOUN
ejpam-7067	191	23	)	)	PUNCT
ejpam-7067	191	24	in	in	ADP
ejpam-7067	191	25	the	the	DET
ejpam-7067	191	26	normalized	normalize	VERB
ejpam-7067	191	27	coordinates	coordinate	NOUN
ejpam-7067	191	28	.	.	PUNCT
ejpam-7067	192	1	we	we	PRON
ejpam-7067	192	2	then	then	ADV
ejpam-7067	192	3	provide	provide	VERB
ejpam-7067	192	4	safe	safe	ADJ
ejpam-7067	192	5	-	-	PUNCT
ejpam-7067	192	6	dispersion	dispersion	NOUN
ejpam-7067	192	7	conditions	condition	NOUN
ejpam-7067	192	8	that	that	PRON
ejpam-7067	192	9	certify	certify	VERB
ejpam-7067	192	10	the	the	DET
ejpam-7067	192	11	saturated	saturate	VERB
ejpam-7067	192	12	system	system	NOUN
ejpam-7067	192	13	behaves	behave	VERB
ejpam-7067	192	14	identically	identically	ADV
ejpam-7067	192	15	to	to	ADP
ejpam-7067	192	16	the	the	DET
ejpam-7067	192	17	unsaturated	unsaturated	ADJ
ejpam-7067	192	18	one	one	NOUN
ejpam-7067	192	19	(	(	PUNCT
ejpam-7067	192	20	hence	hence	ADV
ejpam-7067	192	21	achieves	achieve	VERB
ejpam-7067	192	22	exact	exact	ADJ
ejpam-7067	192	23	scaled	scale	VERB
ejpam-7067	192	24	consensus	consensus	NOUN
ejpam-7067	192	25	)	)	PUNCT
ejpam-7067	192	26	.	.	PUNCT
ejpam-7067	193	1	finally	finally	ADV
ejpam-7067	193	2	,	,	PUNCT
ejpam-7067	193	3	for	for	ADP
ejpam-7067	193	4	regimes	regime	NOUN
ejpam-7067	193	5	with	with	ADP
ejpam-7067	193	6	large	large	ADJ
ejpam-7067	193	7	initial	initial	ADJ
ejpam-7067	193	8	dispersion	dispersion	NOUN
ejpam-7067	193	9	or	or	CCONJ
ejpam-7067	193	10	tight	tight	ADJ
ejpam-7067	193	11	input	input	NOUN
ejpam-7067	193	12	bounds	bound	NOUN
ejpam-7067	193	13	,	,	PUNCT
ejpam-7067	193	14	we	we	PRON
ejpam-7067	193	15	establish	establish	VERB
ejpam-7067	193	16	low	low	ADJ
ejpam-7067	193	17	-	-	PUNCT
ejpam-7067	193	18	gain	gain	NOUN
ejpam-7067	193	19	guarantees	guarantee	NOUN
ejpam-7067	193	20	that	that	SCONJ
ejpam-7067	193	21	either	either	CCONJ
ejpam-7067	193	22	preserve	preserve	VERB
ejpam-7067	193	23	exact	exact	ADJ
ejpam-7067	193	24	consensus	consensus	NOUN
ejpam-7067	193	25	(	(	PUNCT
ejpam-7067	193	26	when	when	SCONJ
ejpam-7067	193	27	the	the	DET
ejpam-7067	193	28	gain	gain	NOUN
ejpam-7067	193	29	is	be	AUX
ejpam-7067	193	30	sufficiently	sufficiently	ADV
ejpam-7067	193	31	small	small	ADJ
ejpam-7067	193	32	)	)	PUNCT
ejpam-7067	193	33	or	or	CCONJ
ejpam-7067	193	34	ensure	ensure	VERB
ejpam-7067	193	35	a	a	DET
ejpam-7067	193	36	provable	provable	ADJ
ejpam-7067	193	37	bounded	bound	VERB
ejpam-7067	193	38	scaled	scale	VERB
ejpam-7067	193	39	quasi	quasi	NOUN
ejpam-7067	193	40	-	-	NOUN
ejpam-7067	193	41	consensus	consensus	NOUN
ejpam-7067	193	42	with	with	ADP
ejpam-7067	193	43	an	an	DET
ejpam-7067	193	44	explicit	explicit	ADJ
ejpam-7067	193	45	radius	radius	NOUN
ejpam-7067	193	46	.	.	PUNCT
ejpam-7067	194	1	throughout	throughout	ADV
ejpam-7067	194	2	,	,	PUNCT
ejpam-7067	194	3	we	we	PRON
ejpam-7067	194	4	use	use	VERB
ejpam-7067	194	5	the	the	DET
ejpam-7067	194	6	notation	notation	NOUN
ejpam-7067	194	7	and	and	CCONJ
ejpam-7067	194	8	solution	solution	NOUN
ejpam-7067	194	9	concepts	concept	NOUN
ejpam-7067	194	10	in	in	ADP
ejpam-7067	194	11	sections	section	NOUN
ejpam-7067	194	12	2–3	2–3	NUM
ejpam-7067	194	13	,	,	PUNCT
ejpam-7067	194	14	including	include	VERB
ejpam-7067	194	15	x	x	PROPN
ejpam-7067	194	16	∈	∈	PROPN
ejpam-7067	194	17	rm	rm	NOUN
ejpam-7067	194	18	,	,	PUNCT
ejpam-7067	194	19	ds	ds	PROPN
ejpam-7067	194	20	≻	≻	PROPN
ejpam-7067	194	21	0	0	NUM
ejpam-7067	194	22	,	,	PUNCT
ejpam-7067	194	23	z	z	NOUN
ejpam-7067	194	24	=	=	PUNCT
ejpam-7067	195	1	d−1	d−1	PROPN
ejpam-7067	195	2	s	s	PART
ejpam-7067	195	3	x	x	NOUN
ejpam-7067	195	4	,	,	PUNCT
ejpam-7067	195	5	the	the	DET
ejpam-7067	195	6	edge	edge	NOUN
ejpam-7067	195	7	-	-	PUNCT
ejpam-7067	195	8	laplacian	laplacian	NOUN
ejpam-7067	195	9	le	le	PROPN
ejpam-7067	195	10	,	,	PUNCT
ejpam-7067	195	11	the	the	DET
ejpam-7067	195	12	hysteretic	hysteretic	ADJ
ejpam-7067	195	13	activation	activation	NOUN
ejpam-7067	195	14	φα(z	φα(z	NOUN
ejpam-7067	195	15	)	)	PUNCT
ejpam-7067	195	16	defined	define	VERB
ejpam-7067	195	17	in	in	ADP
ejpam-7067	195	18	(	(	PUNCT
ejpam-7067	195	19	12	12	NUM
ejpam-7067	195	20	)	)	PUNCT
ejpam-7067	195	21	,	,	PUNCT
ejpam-7067	195	22	and	and	CCONJ
ejpam-7067	195	23	the	the	DET
ejpam-7067	195	24	saturated	saturate	VERB
ejpam-7067	195	25	/	/	SYM
ejpam-7067	195	26	unsaturated	unsaturate	VERB
ejpam-7067	195	27	dynamics	dynamic	NOUN
ejpam-7067	195	28	(	(	PUNCT
ejpam-7067	195	29	14)–(16	14)–(16	NUM
ejpam-7067	195	30	)	)	PUNCT
ejpam-7067	195	31	.	.	PUNCT
ejpam-7067	196	1	we	we	PRON
ejpam-7067	196	2	interpret	interpret	VERB
ejpam-7067	196	3	trajectories	trajectory	NOUN
ejpam-7067	196	4	in	in	ADP
ejpam-7067	196	5	the	the	DET
ejpam-7067	196	6	carathéodory	carathéodory	ADJ
ejpam-7067	196	7	sense	sense	NOUN
ejpam-7067	196	8	and	and	CCONJ
ejpam-7067	196	9	,	,	PUNCT
ejpam-7067	196	10	when	when	SCONJ
ejpam-7067	196	11	the	the	DET
ejpam-7067	196	12	right	right	ADJ
ejpam-7067	196	13	-	-	PUNCT
ejpam-7067	196	14	hand	hand	NOUN
ejpam-7067	196	15	side	side	NOUN
ejpam-7067	196	16	becomes	become	VERB
ejpam-7067	196	17	set	set	NOUN
ejpam-7067	196	18	-	-	PUNCT
ejpam-7067	196	19	valued	value	VERB
ejpam-7067	196	20	(	(	PUNCT
ejpam-7067	196	21	e.g.	e.g.	ADV
ejpam-7067	196	22	,	,	PUNCT
ejpam-7067	196	23	at	at	ADP
ejpam-7067	196	24	hysteresis	hysteresis	NOUN
ejpam-7067	196	25	boundaries	boundary	NOUN
ejpam-7067	196	26	or	or	CCONJ
ejpam-7067	196	27	the	the	DET
ejpam-7067	196	28	kink	kink	NOUN
ejpam-7067	196	29	of	of	ADP
ejpam-7067	196	30	satω	satω	NOUN
ejpam-7067	196	31	)	)	PUNCT
ejpam-7067	196	32	,	,	PUNCT
ejpam-7067	196	33	in	in	ADP
ejpam-7067	196	34	the	the	DET
ejpam-7067	196	35	filippov	filippov	ADJ
ejpam-7067	196	36	sense	sense	NOUN
ejpam-7067	196	37	;	;	PUNCT
ejpam-7067	196	38	existence	existence	NOUN
ejpam-7067	196	39	and	and	CCONJ
ejpam-7067	196	40	closedness	closedness	ADJ
ejpam-7067	196	41	follow	follow	NOUN
ejpam-7067	196	42	from	from	ADP
ejpam-7067	196	43	standard	standard	ADJ
ejpam-7067	196	44	hypotheses	hypothesis	NOUN
ejpam-7067	196	45	.	.	PUNCT
ejpam-7067	197	1	scaled	scale	VERB
ejpam-7067	197	2	consensus	consensus	NOUN
ejpam-7067	197	3	in	in	ADP
ejpam-7067	197	4	the	the	DET
ejpam-7067	197	5	unsaturated	unsaturated	ADJ
ejpam-7067	197	6	regime	regime	NOUN
ejpam-7067	197	7	in	in	ADP
ejpam-7067	197	8	the	the	DET
ejpam-7067	197	9	absence	absence	NOUN
ejpam-7067	197	10	of	of	ADP
ejpam-7067	197	11	actuator	actuator	NOUN
ejpam-7067	197	12	saturation	saturation	NOUN
ejpam-7067	197	13	,	,	PUNCT
ejpam-7067	197	14	the	the	DET
ejpam-7067	197	15	control	control	NOUN
ejpam-7067	197	16	input	input	NOUN
ejpam-7067	197	17	remains	remain	VERB
ejpam-7067	197	18	strictly	strictly	ADV
ejpam-7067	197	19	within	within	ADP
ejpam-7067	197	20	admissible	admissible	ADJ
ejpam-7067	197	21	bounds	bound	NOUN
ejpam-7067	197	22	,	,	PUNCT
ejpam-7067	197	23	and	and	CCONJ
ejpam-7067	197	24	the	the	DET
ejpam-7067	197	25	proposed	propose	VERB
ejpam-7067	197	26	protocol	protocol	NOUN
ejpam-7067	197	27	reduces	reduce	VERB
ejpam-7067	197	28	to	to	ADP
ejpam-7067	197	29	the	the	DET
ejpam-7067	197	30	unsaturated	unsaturated	ADJ
ejpam-7067	197	31	continuous	continuous	ADJ
ejpam-7067	197	32	-	-	PUNCT
ejpam-7067	197	33	time	time	NOUN
ejpam-7067	197	34	flow	flow	NOUN
ejpam-7067	197	35	ẋ	ẋ	PUNCT
ejpam-7067	197	36	=	=	PUNCT
ejpam-7067	198	1	−	−	PROPN
ejpam-7067	198	2	γ	γ	X
ejpam-7067	198	3	φα(z)le	φα(z)le	PROPN
ejpam-7067	198	4	z	z	PROPN
ejpam-7067	198	5	,	,	PUNCT
ejpam-7067	198	6	z	z	PROPN
ejpam-7067	198	7	=	=	PUNCT
ejpam-7067	199	1	d−1	d−1	PROPN
ejpam-7067	199	2	s	s	PROPN
ejpam-7067	199	3	x	x	NOUN
ejpam-7067	199	4	,	,	PUNCT
ejpam-7067	199	5	γ	γ	X
ejpam-7067	199	6	>	>	X
ejpam-7067	199	7	0	0	NUM
ejpam-7067	199	8	,	,	PUNCT
ejpam-7067	199	9	(	(	PUNCT
ejpam-7067	199	10	18	18	NUM
ejpam-7067	199	11	)	)	PUNCT
ejpam-7067	199	12	which	which	PRON
ejpam-7067	199	13	represents	represent	VERB
ejpam-7067	199	14	a	a	DET
ejpam-7067	199	15	generally	generally	ADV
ejpam-7067	199	16	switched	switch	VERB
ejpam-7067	199	17	linear	linear	ADJ
ejpam-7067	199	18	dynamics	dynamic	NOUN
ejpam-7067	199	19	in	in	ADP
ejpam-7067	199	20	the	the	DET
ejpam-7067	199	21	edge	edge	NOUN
ejpam-7067	199	22	state	state	NOUN
ejpam-7067	199	23	variable	variable	PROPN
ejpam-7067	199	24	z	z	PROPN
ejpam-7067	199	25	,	,	PUNCT
ejpam-7067	199	26	governed	govern	VERB
ejpam-7067	199	27	by	by	ADP
ejpam-7067	199	28	the	the	DET
ejpam-7067	199	29	state	state	NOUN
ejpam-7067	199	30	-	-	PUNCT
ejpam-7067	199	31	dependent	dependent	ADJ
ejpam-7067	199	32	activation	activation	NOUN
ejpam-7067	199	33	operator	operator	NOUN
ejpam-7067	199	34	φα(z	φα(z	NOUN
ejpam-7067	199	35	)	)	PUNCT
ejpam-7067	199	36	.	.	PUNCT
ejpam-7067	200	1	the	the	DET
ejpam-7067	200	2	main	main	ADJ
ejpam-7067	200	3	analytical	analytical	ADJ
ejpam-7067	200	4	challenge	challenge	NOUN
ejpam-7067	200	5	arises	arise	VERB
ejpam-7067	200	6	from	from	ADP
ejpam-7067	200	7	the	the	DET
ejpam-7067	200	8	fact	fact	NOUN
ejpam-7067	200	9	that	that	SCONJ
ejpam-7067	200	10	the	the	DET
ejpam-7067	200	11	activation	activation	NOUN
ejpam-7067	200	12	pattern	pattern	NOUN
ejpam-7067	200	13	depends	depend	VERB
ejpam-7067	200	14	on	on	ADP
ejpam-7067	200	15	the	the	DET
ejpam-7067	200	16	system	system	NOUN
ejpam-7067	200	17	state	state	NOUN
ejpam-7067	200	18	,	,	PUNCT
ejpam-7067	200	19	thereby	thereby	ADV
ejpam-7067	200	20	inducing	induce	VERB
ejpam-7067	200	21	switching	switch	VERB
ejpam-7067	200	22	behavior	behavior	NOUN
ejpam-7067	200	23	in	in	ADP
ejpam-7067	200	24	the	the	DET
ejpam-7067	200	25	network	network	NOUN
ejpam-7067	200	26	topology	topology	NOUN
ejpam-7067	200	27	.	.	PUNCT
ejpam-7067	201	1	to	to	PART
ejpam-7067	201	2	address	address	VERB
ejpam-7067	201	3	this	this	DET
ejpam-7067	201	4	difficulty	difficulty	NOUN
ejpam-7067	201	5	,	,	PUNCT
ejpam-7067	201	6	we	we	PRON
ejpam-7067	201	7	construct	construct	VERB
ejpam-7067	201	8	a	a	DET
ejpam-7067	201	9	lyapunov	lyapunov	NOUN
ejpam-7067	201	10	-	-	PUNCT
ejpam-7067	201	11	based	base	VERB
ejpam-7067	201	12	argument	argument	NOUN
ejpam-7067	201	13	under	under	ADP
ejpam-7067	201	14	a	a	DET
ejpam-7067	201	15	joint	joint	ADJ
ejpam-7067	201	16	-	-	PUNCT
ejpam-7067	201	17	connectivity	connectivity	NOUN
ejpam-7067	201	18	condition	condition	NOUN
ejpam-7067	201	19	(	(	PUNCT
ejpam-7067	201	20	assumption	assumption	NOUN
ejpam-7067	201	21	1	1	NUM
ejpam-7067	201	22	)	)	PUNCT
ejpam-7067	201	23	imposed	impose	VERB
ejpam-7067	201	24	on	on	ADP
ejpam-7067	201	25	the	the	DET
ejpam-7067	201	26	active	active	ADJ
ejpam-7067	201	27	line	line	NOUN
ejpam-7067	201	28	-	-	PUNCT
ejpam-7067	201	29	digraph	digraph	NOUN
ejpam-7067	201	30	associated	associate	VERB
ejpam-7067	201	31	with	with	ADP
ejpam-7067	201	32	the	the	DET
ejpam-7067	201	33	switching	switch	VERB
ejpam-7067	201	34	process	process	NOUN
ejpam-7067	201	35	.	.	PUNCT
ejpam-7067	202	1	theorem	theorem	NOUN
ejpam-7067	202	2	1	1	NUM
ejpam-7067	202	3	(	(	PUNCT
ejpam-7067	202	4	scaled	scale	VERB
ejpam-7067	202	5	consensus	consensus	NOUN
ejpam-7067	202	6	under	under	ADP
ejpam-7067	202	7	unsaturated	unsaturated	ADJ
ejpam-7067	202	8	activation	activation	NOUN
ejpam-7067	202	9	)	)	PUNCT
ejpam-7067	202	10	.	.	PUNCT
ejpam-7067	203	1	let	let	VERB
ejpam-7067	203	2	g	g	NOUN
ejpam-7067	203	3	be	be	AUX
ejpam-7067	203	4	strongly	strongly	ADV
ejpam-7067	203	5	connected	connect	VERB
ejpam-7067	203	6	and	and	CCONJ
ejpam-7067	203	7	ds	ds	PRON
ejpam-7067	203	8	≻	≻	PROPN
ejpam-7067	203	9	0	0	NUM
ejpam-7067	203	10	.	.	PUNCT
ejpam-7067	204	1	consider	consider	VERB
ejpam-7067	204	2	(	(	PUNCT
ejpam-7067	204	3	18	18	NUM
ejpam-7067	204	4	)	)	PUNCT
ejpam-7067	204	5	with	with	ADP
ejpam-7067	204	6	α	α	PROPN
ejpam-7067	204	7	≥	≥	NOUN
ejpam-7067	204	8	0	0	NUM
ejpam-7067	204	9	and	and	CCONJ
ejpam-7067	204	10	the	the	DET
ejpam-7067	204	11	hysteretic	hysteretic	ADJ
ejpam-7067	204	12	activation	activation	NOUN
ejpam-7067	204	13	φα(z	φα(z	NOUN
ejpam-7067	204	14	)	)	PUNCT
ejpam-7067	204	15	given	give	VERB
ejpam-7067	204	16	by	by	ADP
ejpam-7067	204	17	(	(	PUNCT
ejpam-7067	204	18	12	12	NUM
ejpam-7067	204	19	)	)	PUNCT
ejpam-7067	204	20	.	.	PUNCT
ejpam-7067	205	1	m.	m.	NOUN
ejpam-7067	205	2	donganont	donganont	PROPN
ejpam-7067	205	3	et	et	PROPN
ejpam-7067	205	4	al	al	PROPN
ejpam-7067	205	5	.	.	PUNCT
ejpam-7067	205	6	/	/	SYM
ejpam-7067	205	7	eur	eur	PROPN
ejpam-7067	205	8	.	.	PUNCT
ejpam-7067	206	1	j.	j.	PROPN
ejpam-7067	206	2	pure	pure	PROPN
ejpam-7067	206	3	appl	appl	PROPN
ejpam-7067	206	4	.	.	PROPN
ejpam-7067	206	5	math	math	PROPN
ejpam-7067	206	6	,	,	PUNCT
ejpam-7067	206	7	18	18	NUM
ejpam-7067	206	8	(	(	PUNCT
ejpam-7067	206	9	4	4	NUM
ejpam-7067	206	10	)	)	PUNCT
ejpam-7067	206	11	(	(	PUNCT
ejpam-7067	206	12	2025	2025	NUM
ejpam-7067	206	13	)	)	PUNCT
ejpam-7067	206	14	,	,	PUNCT
ejpam-7067	206	15	7067	7067	NUM
ejpam-7067	206	16	11	11	NUM
ejpam-7067	206	17	of	of	ADP
ejpam-7067	206	18	22	22	NUM
ejpam-7067	206	19	assume	assume	VERB
ejpam-7067	206	20	the	the	DET
ejpam-7067	206	21	active	active	ADJ
ejpam-7067	206	22	line	line	NOUN
ejpam-7067	206	23	-	-	PUNCT
ejpam-7067	206	24	digraph	digraph	NOUN
ejpam-7067	206	25	induced	induce	VERB
ejpam-7067	206	26	by	by	ADP
ejpam-7067	206	27	φα(z	φα(z	NOUN
ejpam-7067	206	28	)	)	PUNCT
ejpam-7067	206	29	is	be	AUX
ejpam-7067	206	30	jointly	jointly	ADV
ejpam-7067	206	31	strongly	strongly	ADV
ejpam-7067	206	32	connected	connect	VERB
ejpam-7067	206	33	with	with	ADP
ejpam-7067	206	34	an	an	DET
ejpam-7067	206	35	average	average	ADJ
ejpam-7067	206	36	dwell	dwell	NOUN
ejpam-7067	206	37	-	-	PUNCT
ejpam-7067	206	38	time	time	NOUN
ejpam-7067	206	39	bound	bind	VERB
ejpam-7067	206	40	(	(	PUNCT
ejpam-7067	206	41	assumption	assumption	NOUN
ejpam-7067	206	42	1	1	NUM
ejpam-7067	206	43	)	)	PUNCT
ejpam-7067	206	44	.	.	PUNCT
ejpam-7067	207	1	then	then	ADV
ejpam-7067	207	2	every	every	DET
ejpam-7067	207	3	carathéodory	carathéodory	ADJ
ejpam-7067	207	4	/	/	SYM
ejpam-7067	207	5	filippov	filippov	ADJ
ejpam-7067	207	6	solution	solution	NOUN
ejpam-7067	207	7	z	z	PROPN
ejpam-7067	207	8	(	(	PUNCT
ejpam-7067	207	9	·	·	PUNCT
ejpam-7067	207	10	)	)	PUNCT
ejpam-7067	207	11	satisfies	satisfy	VERB
ejpam-7067	207	12	∃λ	∃λ	NUM
ejpam-7067	207	13	∈	∈	PROPN
ejpam-7067	207	14	r	r	NOUN
ejpam-7067	207	15	s.t	s.t	PROPN
ejpam-7067	207	16	.	.	PUNCT
ejpam-7067	207	17	z(t	z(t	NOUN
ejpam-7067	207	18	)	)	PUNCT
ejpam-7067	207	19	→	→	SYM
ejpam-7067	207	20	λ1	λ1	PROPN
ejpam-7067	207	21	m	m	PROPN
ejpam-7067	207	22	as	as	ADP
ejpam-7067	207	23	t	t	PROPN
ejpam-7067	207	24	→	→	SYM
ejpam-7067	207	25	∞.	∞.	PROPN
ejpam-7067	207	26	if	if	SCONJ
ejpam-7067	207	27	α	α	NOUN
ejpam-7067	207	28	=	=	SYM
ejpam-7067	207	29	0	0	PUNCT
ejpam-7067	207	30	(	(	PUNCT
ejpam-7067	207	31	fully	fully	ADV
ejpam-7067	207	32	active	active	ADJ
ejpam-7067	207	33	)	)	PUNCT
ejpam-7067	207	34	,	,	PUNCT
ejpam-7067	207	35	the	the	DET
ejpam-7067	207	36	convergence	convergence	NOUN
ejpam-7067	207	37	is	be	AUX
ejpam-7067	207	38	exponential	exponential	ADJ
ejpam-7067	207	39	:	:	PUNCT
ejpam-7067	207	40	there	there	PRON
ejpam-7067	207	41	exists	exist	VERB
ejpam-7067	207	42	c	c	NOUN
ejpam-7067	207	43	>	>	X
ejpam-7067	207	44	0	0	NUM
ejpam-7067	208	1	such	such	ADJ
ejpam-7067	208	2	that	that	SCONJ
ejpam-7067	208	3	∥z(t)−	∥z(t)−	NOUN
ejpam-7067	208	4	λ1m∥	λ1m∥	NOUN
ejpam-7067	208	5	≤	≤	ADJ
ejpam-7067	208	6	exp	exp	NOUN
ejpam-7067	208	7	(	(	PUNCT
ejpam-7067	208	8	−	−	PROPN
ejpam-7067	208	9	γ	γ	X
ejpam-7067	208	10	c	c	PROPN
ejpam-7067	208	11	t	t	PROPN
ejpam-7067	208	12	)	)	PUNCT
ejpam-7067	208	13	∥z(0)−	∥z(0)−	NOUN
ejpam-7067	208	14	λ1m∥.	λ1m∥.	PROPN
ejpam-7067	208	15	(	(	PUNCT
ejpam-7067	208	16	19	19	NUM
ejpam-7067	208	17	)	)	PUNCT
ejpam-7067	208	18	in	in	ADP
ejpam-7067	208	19	the	the	DET
ejpam-7067	208	20	weight	weight	NOUN
ejpam-7067	208	21	-	-	PUNCT
ejpam-7067	208	22	balanced	balance	VERB
ejpam-7067	208	23	case	case	NOUN
ejpam-7067	208	24	one	one	PRON
ejpam-7067	208	25	may	may	AUX
ejpam-7067	208	26	take	take	VERB
ejpam-7067	208	27	c	c	NOUN
ejpam-7067	208	28	=	=	SYM
ejpam-7067	208	29	λ2	λ2	PROPN
ejpam-7067	208	30	(	(	PUNCT
ejpam-7067	208	31	(	(	PUNCT
ejpam-7067	208	32	d	d	X
ejpam-7067	208	33	−1/2	−1/2	PROPN
ejpam-7067	208	34	s	s	VERB
ejpam-7067	208	35	led	lead	VERB
ejpam-7067	208	36	−1/2	−1/2	PROPN
ejpam-7067	208	37	s	s	PART
ejpam-7067	208	38	)	)	PUNCT
ejpam-7067	208	39	sym	sym	NOUN
ejpam-7067	208	40	)	)	PUNCT
ejpam-7067	208	41	;	;	PUNCT
ejpam-7067	208	42	in	in	ADP
ejpam-7067	208	43	general	general	ADJ
ejpam-7067	208	44	c	c	PROPN
ejpam-7067	208	45	is	be	AUX
ejpam-7067	208	46	lower	lower	ADV
ejpam-7067	208	47	bounded	bound	VERB
ejpam-7067	208	48	by	by	ADP
ejpam-7067	208	49	standard	standard	ADJ
ejpam-7067	208	50	comparison	comparison	NOUN
ejpam-7067	208	51	arguments	argument	NOUN
ejpam-7067	208	52	for	for	ADP
ejpam-7067	208	53	metzler	metzler	PROPN
ejpam-7067	208	54	laplacian	laplacian	ADJ
ejpam-7067	208	55	flows	flow	NOUN
ejpam-7067	208	56	.	.	PUNCT
ejpam-7067	209	1	proof	proof	NOUN
ejpam-7067	209	2	.	.	PUNCT
ejpam-7067	210	1	define	define	VERB
ejpam-7067	210	2	the	the	DET
ejpam-7067	210	3	spread	spread	ADJ
ejpam-7067	210	4	d(t	d(t	PROPN
ejpam-7067	210	5	)	)	PUNCT
ejpam-7067	210	6	:	:	PUNCT
ejpam-7067	210	7	=	=	PUNCT
ejpam-7067	210	8	maxk	maxk	NOUN
ejpam-7067	210	9	zk(t)−mink	zk(t)−mink	NUM
ejpam-7067	210	10	zk(t	zk(t	NOUN
ejpam-7067	210	11	)	)	PUNCT
ejpam-7067	210	12	.	.	PUNCT
ejpam-7067	211	1	since	since	SCONJ
ejpam-7067	211	2	ż	ż	NOUN
ejpam-7067	211	3	=	=	SYM
ejpam-7067	211	4	−γ	−γ	PROPN
ejpam-7067	211	5	d−1	d−1	PROPN
ejpam-7067	211	6	s	s	PART
ejpam-7067	211	7	φα(z)lez	φα(z)lez	PROPN
ejpam-7067	211	8	and	and	CCONJ
ejpam-7067	211	9	d−1	d−1	PROPN
ejpam-7067	211	10	s	s	PART
ejpam-7067	211	11	φα(z)le	φα(z)le	NOUN
ejpam-7067	211	12	is	be	AUX
ejpam-7067	211	13	metzler	metzler	NOUN
ejpam-7067	211	14	(	(	PUNCT
ejpam-7067	211	15	nonnegative	nonnegative	VERB
ejpam-7067	211	16	off	off	ADP
ejpam-7067	211	17	-	-	PUNCT
ejpam-7067	211	18	diagonals	diagonal	NOUN
ejpam-7067	211	19	)	)	PUNCT
ejpam-7067	211	20	with	with	ADP
ejpam-7067	211	21	row	row	NOUN
ejpam-7067	211	22	sums	sum	NOUN
ejpam-7067	211	23	zero	zero	NUM
ejpam-7067	211	24	on	on	ADP
ejpam-7067	211	25	the	the	DET
ejpam-7067	211	26	active	active	ADJ
ejpam-7067	211	27	subgraph	subgraph	NOUN
ejpam-7067	211	28	,	,	PUNCT
ejpam-7067	211	29	the	the	DET
ejpam-7067	211	30	system	system	NOUN
ejpam-7067	211	31	is	be	AUX
ejpam-7067	211	32	cooperative	cooperative	ADJ
ejpam-7067	211	33	and	and	CCONJ
ejpam-7067	211	34	preserves	preserve	VERB
ejpam-7067	211	35	the	the	DET
ejpam-7067	211	36	order	order	NOUN
ejpam-7067	211	37	interval	interval	NOUN
ejpam-7067	212	1	[	[	X
ejpam-7067	212	2	mink	mink	NOUN
ejpam-7067	212	3	zk(0),maxk	zk(0),maxk	X
ejpam-7067	213	1	zk(0	zk(0	PROPN
ejpam-7067	213	2	)	)	PUNCT
ejpam-7067	213	3	]	]	PUNCT
ejpam-7067	214	1	m	m	VERB
ejpam-7067	214	2	.	.	PUNCT
ejpam-7067	215	1	let	let	VERB
ejpam-7067	215	2	k∗(t	k∗(t	NOUN
ejpam-7067	215	3	)	)	PUNCT
ejpam-7067	215	4	∈	∈	PROPN
ejpam-7067	215	5	argmaxk	argmaxk	NOUN
ejpam-7067	215	6	zk(t	zk(t	NOUN
ejpam-7067	215	7	)	)	PUNCT
ejpam-7067	215	8	and	and	CCONJ
ejpam-7067	215	9	m∗(t	m∗(t	NOUN
ejpam-7067	215	10	)	)	PUNCT
ejpam-7067	215	11	∈	∈	PROPN
ejpam-7067	215	12	argmink	argmink	VERB
ejpam-7067	215	13	zk(t	zk(t	NOUN
ejpam-7067	215	14	)	)	PUNCT
ejpam-7067	215	15	be	be	AUX
ejpam-7067	215	16	chosen	choose	VERB
ejpam-7067	215	17	measurably	measurably	ADV
ejpam-7067	215	18	.	.	PUNCT
ejpam-7067	216	1	the	the	DET
ejpam-7067	216	2	upper	upper	ADJ
ejpam-7067	216	3	right	right	NOUN
ejpam-7067	216	4	dini	dini	NOUN
ejpam-7067	216	5	derivative	derivative	NOUN
ejpam-7067	216	6	of	of	ADP
ejpam-7067	216	7	the	the	DET
ejpam-7067	216	8	maximum	maximum	ADJ
ejpam-7067	216	9	satisfies	satisfie	NOUN
ejpam-7067	216	10	d+(max	d+(max	PROPN
ejpam-7067	216	11	k	k	PROPN
ejpam-7067	216	12	zk	zk	PROPN
ejpam-7067	216	13	)	)	PUNCT
ejpam-7067	217	1	=	=	SYM
ejpam-7067	217	2	lim	lim	PROPN
ejpam-7067	217	3	sup	sup	NOUN
ejpam-7067	217	4	h↓0	h↓0	PROPN
ejpam-7067	217	5	maxk	maxk	NOUN
ejpam-7067	217	6	zk(t+	zk(t+	PROPN
ejpam-7067	217	7	h)−maxk	h)−maxk	NOUN
ejpam-7067	217	8	zk(t	zk(t	NOUN
ejpam-7067	217	9	)	)	PUNCT
ejpam-7067	217	10	h	h	NOUN
ejpam-7067	217	11	≤	≤	NUM
ejpam-7067	217	12	żk∗(t	żk∗(t	NOUN
ejpam-7067	217	13	)	)	PUNCT
ejpam-7067	217	14	=	=	PUNCT
ejpam-7067	218	1	−γ	−γ	NOUN
ejpam-7067	219	1	[	[	X
ejpam-7067	219	2	d−1	d−1	PROPN
ejpam-7067	219	3	s	s	PROPN
ejpam-7067	219	4	φα(z)lez]k∗	φα(z)lez]k∗	X
ejpam-7067	219	5	≤	≤	NOUN
ejpam-7067	219	6	0	0	NUM
ejpam-7067	219	7	,	,	PUNCT
ejpam-7067	219	8	because	because	SCONJ
ejpam-7067	219	9	the	the	DET
ejpam-7067	219	10	k∗-th	k∗-th	PROPN
ejpam-7067	219	11	row	row	NOUN
ejpam-7067	219	12	of	of	ADP
ejpam-7067	219	13	a	a	DET
ejpam-7067	219	14	metzler	metzler	NOUN
ejpam-7067	219	15	,	,	PUNCT
ejpam-7067	219	16	row	row	NOUN
ejpam-7067	219	17	-	-	PUNCT
ejpam-7067	219	18	sum	sum	NOUN
ejpam-7067	219	19	-	-	PUNCT
ejpam-7067	219	20	zero	zero	NUM
ejpam-7067	219	21	operator	operator	NOUN
ejpam-7067	219	22	applied	apply	VERB
ejpam-7067	219	23	to	to	ADP
ejpam-7067	219	24	a	a	DET
ejpam-7067	219	25	vector	vector	NOUN
ejpam-7067	219	26	with	with	ADP
ejpam-7067	219	27	componentwise	componentwise	NOUN
ejpam-7067	219	28	maximum	maximum	ADJ
ejpam-7067	219	29	yields	yield	NOUN
ejpam-7067	219	30	a	a	DET
ejpam-7067	219	31	nonpositive	nonpositive	ADJ
ejpam-7067	219	32	value	value	NOUN
ejpam-7067	219	33	.	.	PUNCT
ejpam-7067	220	1	similarly	similarly	ADV
ejpam-7067	220	2	d+(mink	d+(mink	VERB
ejpam-7067	220	3	zk	zk	PROPN
ejpam-7067	220	4	)	)	PUNCT
ejpam-7067	220	5	≥	≥	NOUN
ejpam-7067	220	6	0	0	NUM
ejpam-7067	220	7	.	.	PUNCT
ejpam-7067	221	1	hence	hence	ADV
ejpam-7067	221	2	d+d(t	d+d(t	NUM
ejpam-7067	221	3	)	)	PUNCT
ejpam-7067	221	4	≤	≤	NUM
ejpam-7067	221	5	0	0	NUM
ejpam-7067	221	6	and	and	CCONJ
ejpam-7067	221	7	d(t	d(t	NOUN
ejpam-7067	221	8	)	)	PUNCT
ejpam-7067	221	9	is	be	AUX
ejpam-7067	221	10	nonincreasing	nonincrease	VERB
ejpam-7067	221	11	and	and	CCONJ
ejpam-7067	221	12	bounded	bound	VERB
ejpam-7067	221	13	below	below	ADV
ejpam-7067	221	14	by	by	ADP
ejpam-7067	221	15	0	0	PROPN
ejpam-7067	221	16	.	.	PUNCT
ejpam-7067	222	1	let	let	VERB
ejpam-7067	222	2	m	m	PRON
ejpam-7067	222	3	be	be	AUX
ejpam-7067	222	4	the	the	DET
ejpam-7067	222	5	ω	ω	ADJ
ejpam-7067	222	6	-	-	PUNCT
ejpam-7067	222	7	limit	limit	NOUN
ejpam-7067	222	8	set	set	NOUN
ejpam-7067	222	9	of	of	ADP
ejpam-7067	222	10	z(t	z(t	NOUN
ejpam-7067	222	11	)	)	PUNCT
ejpam-7067	222	12	.	.	PUNCT
ejpam-7067	223	1	on	on	ADP
ejpam-7067	223	2	m	m	NOUN
ejpam-7067	223	3	the	the	DET
ejpam-7067	223	4	spread	spread	NOUN
ejpam-7067	223	5	is	be	AUX
ejpam-7067	223	6	constant	constant	ADJ
ejpam-7067	223	7	,	,	PUNCT
ejpam-7067	223	8	so	so	SCONJ
ejpam-7067	223	9	the	the	DET
ejpam-7067	223	10	dini	dini	NOUN
ejpam-7067	223	11	derivatives	derivative	NOUN
ejpam-7067	223	12	vanish	vanish	VERB
ejpam-7067	223	13	,	,	PUNCT
ejpam-7067	223	14	which	which	PRON
ejpam-7067	223	15	implies	imply	VERB
ejpam-7067	223	16	that	that	SCONJ
ejpam-7067	223	17	whenever	whenever	SCONJ
ejpam-7067	223	18	an	an	DET
ejpam-7067	223	19	edge	edge	NOUN
ejpam-7067	223	20	is	be	AUX
ejpam-7067	223	21	active	active	ADJ
ejpam-7067	223	22	,	,	PUNCT
ejpam-7067	223	23	all	all	DET
ejpam-7067	223	24	incident	incident	NOUN
ejpam-7067	223	25	local	local	ADJ
ejpam-7067	223	26	disagreements	disagreement	NOUN
ejpam-7067	223	27	are	be	AUX
ejpam-7067	223	28	zero	zero	NUM
ejpam-7067	223	29	.	.	PUNCT
ejpam-7067	224	1	under	under	ADP
ejpam-7067	224	2	assumption	assumption	NOUN
ejpam-7067	224	3	1	1	NUM
ejpam-7067	224	4	(	(	PUNCT
ejpam-7067	224	5	joint	joint	ADJ
ejpam-7067	224	6	strong	strong	ADJ
ejpam-7067	224	7	connectivity	connectivity	NOUN
ejpam-7067	224	8	of	of	ADP
ejpam-7067	224	9	the	the	DET
ejpam-7067	224	10	active	active	ADJ
ejpam-7067	224	11	line	line	NOUN
ejpam-7067	224	12	-	-	PUNCT
ejpam-7067	224	13	digraph	digraph	NOUN
ejpam-7067	224	14	with	with	ADP
ejpam-7067	224	15	average	average	ADJ
ejpam-7067	224	16	dwell	dwell	NOUN
ejpam-7067	224	17	-	-	PUNCT
ejpam-7067	224	18	time	time	NOUN
ejpam-7067	224	19	)	)	PUNCT
ejpam-7067	224	20	,	,	PUNCT
ejpam-7067	224	21	the	the	DET
ejpam-7067	224	22	only	only	ADJ
ejpam-7067	224	23	weakly	weakly	ADJ
ejpam-7067	224	24	invariant	invariant	ADJ
ejpam-7067	224	25	set	set	NOUN
ejpam-7067	224	26	compatible	compatible	ADJ
ejpam-7067	224	27	with	with	ADP
ejpam-7067	224	28	zero	zero	NUM
ejpam-7067	224	29	local	local	ADJ
ejpam-7067	224	30	disagreements	disagreement	NOUN
ejpam-7067	224	31	on	on	ADP
ejpam-7067	224	32	active	active	ADJ
ejpam-7067	224	33	edges	edge	NOUN
ejpam-7067	224	34	is	be	AUX
ejpam-7067	224	35	the	the	DET
ejpam-7067	224	36	consensus	consensus	NOUN
ejpam-7067	224	37	subspace	subspace	NOUN
ejpam-7067	224	38	span{1	span{1	NOUN
ejpam-7067	224	39	m	m	PROPN
ejpam-7067	224	40	}	}	PUNCT
ejpam-7067	224	41	.	.	PUNCT
ejpam-7067	225	1	therefore	therefore	ADV
ejpam-7067	225	2	d(t	d(t	PROPN
ejpam-7067	225	3	)	)	PUNCT
ejpam-7067	225	4	→	→	SYM
ejpam-7067	225	5	0	0	NUM
ejpam-7067	225	6	and	and	CCONJ
ejpam-7067	225	7	z(t	z(t	NOUN
ejpam-7067	225	8	)	)	PUNCT
ejpam-7067	225	9	→	→	SYM
ejpam-7067	226	1	λ1	λ1	PROPN
ejpam-7067	226	2	m	m	PROPN
ejpam-7067	226	3	for	for	ADP
ejpam-7067	226	4	some	some	DET
ejpam-7067	226	5	λ	λ	PROPN
ejpam-7067	226	6	∈	∈	PROPN
ejpam-7067	226	7	r.	r.	NOUN
ejpam-7067	226	8	if	if	SCONJ
ejpam-7067	226	9	α	α	PROPN
ejpam-7067	226	10	=	=	SYM
ejpam-7067	226	11	0	0	PUNCT
ejpam-7067	226	12	(	(	PUNCT
ejpam-7067	226	13	fully	fully	ADV
ejpam-7067	226	14	active	active	ADJ
ejpam-7067	226	15	)	)	PUNCT
ejpam-7067	226	16	,	,	PUNCT
ejpam-7067	226	17	the	the	DET
ejpam-7067	226	18	system	system	NOUN
ejpam-7067	226	19	reduces	reduce	VERB
ejpam-7067	226	20	to	to	ADP
ejpam-7067	226	21	ż	ż	NOUN
ejpam-7067	226	22	=	=	NOUN
ejpam-7067	226	23	−γd−1	−γd−1	X
ejpam-7067	226	24	s	s	PROPN
ejpam-7067	226	25	lez	lez	PROPN
ejpam-7067	226	26	,	,	PUNCT
ejpam-7067	226	27	and	and	CCONJ
ejpam-7067	226	28	under	under	ADP
ejpam-7067	226	29	weightbalance	weightbalance	NOUN
ejpam-7067	226	30	the	the	DET
ejpam-7067	226	31	standard	standard	ADJ
ejpam-7067	226	32	quadratic	quadratic	ADJ
ejpam-7067	226	33	analysis	analysis	NOUN
ejpam-7067	226	34	yields	yield	VERB
ejpam-7067	226	35	the	the	DET
ejpam-7067	226	36	exponential	exponential	NOUN
ejpam-7067	226	37	bound	bind	VERB
ejpam-7067	226	38	(	(	PUNCT
ejpam-7067	226	39	19	19	NUM
ejpam-7067	226	40	)	)	PUNCT
ejpam-7067	226	41	.	.	PUNCT
ejpam-7067	227	1	remark	remark	NOUN
ejpam-7067	227	2	1	1	NUM
ejpam-7067	227	3	(	(	PUNCT
ejpam-7067	227	4	consensus	consensus	NOUN
ejpam-7067	227	5	value	value	NOUN
ejpam-7067	227	6	)	)	PUNCT
ejpam-7067	227	7	.	.	PUNCT
ejpam-7067	228	1	case	case	NOUN
ejpam-7067	228	2	α	α	X
ejpam-7067	228	3	=	=	SYM
ejpam-7067	228	4	0	0	PROPN
ejpam-7067	228	5	.	.	PUNCT
ejpam-7067	229	1	the	the	DET
ejpam-7067	229	2	normalized	normalize	VERB
ejpam-7067	229	3	dynamics	dynamic	NOUN
ejpam-7067	229	4	reduce	reduce	VERB
ejpam-7067	229	5	to	to	ADP
ejpam-7067	229	6	ż	ż	NOUN
ejpam-7067	229	7	=	=	PUNCT
ejpam-7067	229	8	−	−	PROPN
ejpam-7067	229	9	γ	γ	PROPN
ejpam-7067	229	10	d−1	d−1	PROPN
ejpam-7067	229	11	s	s	PROPN
ejpam-7067	229	12	lez	lez	PROPN
ejpam-7067	229	13	.	.	PUNCT
ejpam-7067	230	1	let	let	VERB
ejpam-7067	230	2	w⊤	w⊤	INTJ
ejpam-7067	230	3	be	be	AUX
ejpam-7067	230	4	the	the	DET
ejpam-7067	230	5	(	(	PUNCT
ejpam-7067	230	6	unique	unique	ADJ
ejpam-7067	230	7	up	up	ADP
ejpam-7067	230	8	to	to	PART
ejpam-7067	230	9	scale	scale	VERB
ejpam-7067	230	10	)	)	PUNCT
ejpam-7067	230	11	positive	positive	ADJ
ejpam-7067	230	12	left	left	ADJ
ejpam-7067	230	13	eigenvector	eigenvector	NOUN
ejpam-7067	230	14	of	of	ADP
ejpam-7067	230	15	d−1	d−1	PROPN
ejpam-7067	230	16	s	s	PART
ejpam-7067	230	17	le	le	X
ejpam-7067	230	18	associated	associate	VERB
ejpam-7067	230	19	with	with	ADP
ejpam-7067	230	20	the	the	DET
ejpam-7067	230	21	zero	zero	NUM
ejpam-7067	230	22	eigenvalue	eigenvalue	NOUN
ejpam-7067	230	23	,	,	PUNCT
ejpam-7067	230	24	i.e.	i.e.	X
ejpam-7067	230	25	,	,	PUNCT
ejpam-7067	230	26	w⊤d−1	w⊤d−1	NOUN
ejpam-7067	230	27	s	s	PART
ejpam-7067	230	28	le	le	X
ejpam-7067	230	29	=	=	SYM
ejpam-7067	230	30	0	0	NUM
ejpam-7067	230	31	and	and	CCONJ
ejpam-7067	230	32	w⊤1	w⊤1	PROPN
ejpam-7067	230	33	m	m	PROPN
ejpam-7067	230	34	>	>	X
ejpam-7067	230	35	0	0	NUM
ejpam-7067	230	36	.	.	PUNCT
ejpam-7067	231	1	then	then	ADV
ejpam-7067	231	2	the	the	DET
ejpam-7067	231	3	conserved	conserve	VERB
ejpam-7067	231	4	quantity	quantity	NOUN
ejpam-7067	231	5	w⊤z(t	w⊤z(t	NOUN
ejpam-7067	231	6	)	)	PUNCT
ejpam-7067	231	7	yields	yield	VERB
ejpam-7067	231	8	the	the	DET
ejpam-7067	231	9	closed	closed	ADJ
ejpam-7067	231	10	form	form	NOUN
ejpam-7067	231	11	λ	λ	X
ejpam-7067	231	12	=	=	SYM
ejpam-7067	231	13	w⊤z(0	w⊤z(0	X
ejpam-7067	231	14	)	)	PUNCT
ejpam-7067	231	15	w⊤1	w⊤1	PROPN
ejpam-7067	231	16	m	m	NOUN
ejpam-7067	231	17	.	.	PUNCT
ejpam-7067	232	1	equivalently	equivalently	ADV
ejpam-7067	232	2	,	,	PUNCT
ejpam-7067	232	3	if	if	SCONJ
ejpam-7067	232	4	γ⊤e	γ⊤e	ADP
ejpam-7067	232	5	le	le	X
ejpam-7067	232	6	=	=	SYM
ejpam-7067	232	7	0	0	PUNCT
ejpam-7067	232	8	with	with	ADP
ejpam-7067	232	9	γe	γe	NUM
ejpam-7067	232	10	≫	≫	PROPN
ejpam-7067	232	11	0	0	PROPN
ejpam-7067	232	12	(	(	PUNCT
ejpam-7067	232	13	left	leave	VERB
ejpam-7067	232	14	eigenvector	eigenvector	NOUN
ejpam-7067	232	15	of	of	ADP
ejpam-7067	232	16	le	le	NOUN
ejpam-7067	232	17	)	)	PUNCT
ejpam-7067	232	18	,	,	PUNCT
ejpam-7067	232	19	then	then	ADV
ejpam-7067	232	20	w⊤	w⊤	INTJ
ejpam-7067	232	21	=	=	PUNCT
ejpam-7067	232	22	γ⊤e	γ⊤e	ADP
ejpam-7067	232	23	ds	ds	ADJ
ejpam-7067	232	24	/	/	SYM
ejpam-7067	232	25	γ	γ	X
ejpam-7067	232	26	and	and	CCONJ
ejpam-7067	232	27	λ	λ	PROPN
ejpam-7067	232	28	=	=	VERB
ejpam-7067	232	29	γ⊤	γ⊤	PROPN
ejpam-7067	232	30	e	e	X
ejpam-7067	232	31	x(0	x(0	PROPN
ejpam-7067	232	32	)	)	PUNCT
ejpam-7067	232	33	γ⊤	γ⊤	PROPN
ejpam-7067	233	1	e	e	PROPN
ejpam-7067	233	2	ds1	ds1	PROPN
ejpam-7067	233	3	m	m	PROPN
ejpam-7067	233	4	.	.	PUNCT
ejpam-7067	234	1	case	case	NOUN
ejpam-7067	234	2	α	α	X
ejpam-7067	234	3	>	>	X
ejpam-7067	234	4	0	0	NUM
ejpam-7067	234	5	.	.	PUNCT
ejpam-7067	235	1	with	with	ADP
ejpam-7067	235	2	threshold	threshold	NOUN
ejpam-7067	235	3	activation	activation	NOUN
ejpam-7067	235	4	,	,	PUNCT
ejpam-7067	235	5	the	the	DET
ejpam-7067	235	6	generator	generator	NOUN
ejpam-7067	235	7	becomes	become	VERB
ejpam-7067	235	8	state	state	NOUN
ejpam-7067	235	9	-	-	PUNCT
ejpam-7067	235	10	dependent	dependent	ADJ
ejpam-7067	235	11	,	,	PUNCT
ejpam-7067	235	12	a(t	a(t	NOUN
ejpam-7067	235	13	)	)	PUNCT
ejpam-7067	235	14	:	:	PUNCT
ejpam-7067	236	1	=	=	PUNCT
ejpam-7067	236	2	d−1	d−1	PROPN
ejpam-7067	236	3	s	s	PART
ejpam-7067	236	4	φα(z(t))le	φα(z(t))le	NOUN
ejpam-7067	236	5	.	.	PUNCT
ejpam-7067	237	1	under	under	ADP
ejpam-7067	237	2	joint	joint	ADJ
ejpam-7067	237	3	strong	strong	ADJ
ejpam-7067	237	4	connectivity	connectivity	NOUN
ejpam-7067	237	5	and	and	CCONJ
ejpam-7067	237	6	average	average	ADJ
ejpam-7067	237	7	dwell	dwell	NOUN
ejpam-7067	237	8	-	-	PUNCT
ejpam-7067	237	9	time	time	NOUN
ejpam-7067	237	10	,	,	PUNCT
ejpam-7067	237	11	the	the	DET
ejpam-7067	237	12	m.	m.	NOUN
ejpam-7067	237	13	donganont	donganont	PROPN
ejpam-7067	237	14	et	et	PROPN
ejpam-7067	237	15	al	al	PROPN
ejpam-7067	237	16	.	.	PUNCT
ejpam-7067	237	17	/	/	SYM
ejpam-7067	237	18	eur	eur	PROPN
ejpam-7067	237	19	.	.	PUNCT
ejpam-7067	238	1	j.	j.	PROPN
ejpam-7067	238	2	pure	pure	PROPN
ejpam-7067	238	3	appl	appl	PROPN
ejpam-7067	238	4	.	.	PROPN
ejpam-7067	238	5	math	math	PROPN
ejpam-7067	238	6	,	,	PUNCT
ejpam-7067	238	7	18	18	NUM
ejpam-7067	238	8	(	(	PUNCT
ejpam-7067	238	9	4	4	NUM
ejpam-7067	238	10	)	)	PUNCT
ejpam-7067	238	11	(	(	PUNCT
ejpam-7067	238	12	2025	2025	NUM
ejpam-7067	238	13	)	)	PUNCT
ejpam-7067	238	14	,	,	PUNCT
ejpam-7067	238	15	7067	7067	NUM
ejpam-7067	238	16	12	12	NUM
ejpam-7067	238	17	of	of	ADP
ejpam-7067	238	18	22	22	NUM
ejpam-7067	238	19	nonautonomous	nonautonomous	ADJ
ejpam-7067	238	20	consensus	consensus	NOUN
ejpam-7067	238	21	flow	flow	NOUN
ejpam-7067	238	22	admits	admit	VERB
ejpam-7067	238	23	an	an	DET
ejpam-7067	238	24	asymptotic	asymptotic	ADJ
ejpam-7067	238	25	averaging	averaging	NOUN
ejpam-7067	238	26	vector	vector	NOUN
ejpam-7067	238	27	v⊤	v⊤	PRON
ejpam-7067	238	28	≥	≥	NOUN
ejpam-7067	238	29	0	0	NUM
ejpam-7067	238	30	with	with	ADP
ejpam-7067	238	31	v⊤1	v⊤1	NOUN
ejpam-7067	238	32	m	m	NOUN
ejpam-7067	238	33	=	=	SYM
ejpam-7067	238	34	1	1	NUM
ejpam-7067	238	35	(	(	PUNCT
ejpam-7067	238	36	the	the	DET
ejpam-7067	238	37	ergodic	ergodic	ADJ
ejpam-7067	238	38	limit	limit	NOUN
ejpam-7067	238	39	of	of	ADP
ejpam-7067	238	40	the	the	DET
ejpam-7067	238	41	normalized	normalize	VERB
ejpam-7067	238	42	state	state	NOUN
ejpam-7067	238	43	-	-	PUNCT
ejpam-7067	238	44	transition	transition	NOUN
ejpam-7067	238	45	operator	operator	NOUN
ejpam-7067	238	46	)	)	PUNCT
ejpam-7067	238	47	,	,	PUNCT
ejpam-7067	238	48	so	so	SCONJ
ejpam-7067	238	49	that	that	SCONJ
ejpam-7067	238	50	z(t	z(t	NOUN
ejpam-7067	238	51	)	)	PUNCT
ejpam-7067	238	52	→	→	PUNCT
ejpam-7067	238	53	(	(	PUNCT
ejpam-7067	238	54	1mv⊤	1mv⊤	NOUN
ejpam-7067	238	55	)	)	PUNCT
ejpam-7067	238	56	z(0	z(0	NOUN
ejpam-7067	238	57	)	)	PUNCT
ejpam-7067	238	58	=	=	SYM
ejpam-7067	239	1	λ1	λ1	PROPN
ejpam-7067	239	2	m	m	NOUN
ejpam-7067	239	3	,	,	PUNCT
ejpam-7067	239	4	λ	λ	X
ejpam-7067	239	5	=	=	PUNCT
ejpam-7067	239	6	v⊤z(0	v⊤z(0	PROPN
ejpam-7067	239	7	)	)	PUNCT
ejpam-7067	239	8	.	.	PUNCT
ejpam-7067	240	1	if	if	SCONJ
ejpam-7067	240	2	activations	activation	NOUN
ejpam-7067	240	3	persist	persist	VERB
ejpam-7067	240	4	so	so	SCONJ
ejpam-7067	240	5	that	that	SCONJ
ejpam-7067	240	6	φα(z(t	φα(z(t	NOUN
ejpam-7067	240	7	)	)	PUNCT
ejpam-7067	240	8	)	)	PUNCT
ejpam-7067	241	1	≡	≡	PROPN
ejpam-7067	241	2	i	i	PRON
ejpam-7067	241	3	after	after	ADP
ejpam-7067	241	4	some	some	DET
ejpam-7067	241	5	time	time	NOUN
ejpam-7067	241	6	,	,	PUNCT
ejpam-7067	241	7	then	then	ADV
ejpam-7067	241	8	v⊤	v⊤	INTJ
ejpam-7067	241	9	coincides	coincide	NOUN
ejpam-7067	241	10	with	with	ADP
ejpam-7067	241	11	the	the	DET
ejpam-7067	241	12	normalized	normalize	VERB
ejpam-7067	241	13	left	leave	VERB
ejpam-7067	241	14	eigenvector	eigenvector	NOUN
ejpam-7067	241	15	w⊤/(w⊤1	w⊤/(w⊤1	NOUN
ejpam-7067	241	16	m	m	PROPN
ejpam-7067	241	17	)	)	PUNCT
ejpam-7067	241	18	above	above	ADV
ejpam-7067	241	19	,	,	PUNCT
ejpam-7067	241	20	recovering	recover	VERB
ejpam-7067	241	21	the	the	DET
ejpam-7067	241	22	closed	closed	ADJ
ejpam-7067	241	23	-	-	PUNCT
ejpam-7067	241	24	form	form	NOUN
ejpam-7067	241	25	expression	expression	NOUN
ejpam-7067	241	26	for	for	ADP
ejpam-7067	241	27	λ	λ	PROPN
ejpam-7067	241	28	.	.	PUNCT
ejpam-7067	241	29	corollary	corollary	ADJ
ejpam-7067	241	30	1	1	NUM
ejpam-7067	241	31	(	(	PUNCT
ejpam-7067	241	32	uniform	uniform	ADJ
ejpam-7067	241	33	scaling	scaling	NOUN
ejpam-7067	241	34	)	)	PUNCT
ejpam-7067	241	35	.	.	PUNCT
ejpam-7067	242	1	if	if	SCONJ
ejpam-7067	242	2	ds	ds	NOUN
ejpam-7067	242	3	=	=	VERB
ejpam-7067	242	4	i	i	PRON
ejpam-7067	242	5	m	m	VERB
ejpam-7067	242	6	(	(	PUNCT
ejpam-7067	242	7	i.e.	i.e.	X
ejpam-7067	242	8	,	,	PUNCT
ejpam-7067	242	9	se	se	X
ejpam-7067	242	10	≡	≡	PROPN
ejpam-7067	242	11	1	1	NUM
ejpam-7067	242	12	)	)	PUNCT
ejpam-7067	242	13	,	,	PUNCT
ejpam-7067	242	14	then	then	ADV
ejpam-7067	242	15	z	z	PROPN
ejpam-7067	242	16	≡	≡	PROPN
ejpam-7067	242	17	x	x	SYM
ejpam-7067	242	18	and	and	CCONJ
ejpam-7067	242	19	(	(	PUNCT
ejpam-7067	242	20	18	18	NUM
ejpam-7067	242	21	)	)	PUNCT
ejpam-7067	242	22	reduces	reduce	VERB
ejpam-7067	242	23	to	to	ADP
ejpam-7067	242	24	a	a	DET
ejpam-7067	242	25	classical	classical	ADJ
ejpam-7067	242	26	edge	edge	NOUN
ejpam-7067	242	27	-	-	PUNCT
ejpam-7067	242	28	consensus	consensus	NOUN
ejpam-7067	242	29	flow	flow	NOUN
ejpam-7067	242	30	on	on	ADP
ejpam-7067	242	31	l(g	l(g	NOUN
ejpam-7067	242	32	)	)	PUNCT
ejpam-7067	242	33	;	;	PUNCT
ejpam-7067	242	34	exponential	exponential	ADJ
ejpam-7067	242	35	convergence	convergence	NOUN
ejpam-7067	242	36	holds	hold	VERB
ejpam-7067	242	37	for	for	ADP
ejpam-7067	242	38	α	α	NOUN
ejpam-7067	242	39	=	=	SYM
ejpam-7067	242	40	0	0	X
ejpam-7067	242	41	.	.	PUNCT
ejpam-7067	243	1	scaled	scale	VERB
ejpam-7067	243	2	consensus	consensus	NOUN
ejpam-7067	243	3	with	with	ADP
ejpam-7067	243	4	saturation	saturation	NOUN
ejpam-7067	243	5	:	:	PUNCT
ejpam-7067	243	6	safe	safe	ADJ
ejpam-7067	243	7	-	-	PUNCT
ejpam-7067	243	8	dispersion	dispersion	NOUN
ejpam-7067	243	9	domains	domain	NOUN
ejpam-7067	243	10	in	in	ADP
ejpam-7067	243	11	the	the	DET
ejpam-7067	243	12	presence	presence	NOUN
ejpam-7067	243	13	of	of	ADP
ejpam-7067	243	14	actuator	actuator	NOUN
ejpam-7067	243	15	constraints	constraint	NOUN
ejpam-7067	244	1	,	,	PUNCT
ejpam-7067	244	2	the	the	DET
ejpam-7067	244	3	closed	closed	ADJ
ejpam-7067	244	4	-	-	PUNCT
ejpam-7067	244	5	loop	loop	NOUN
ejpam-7067	244	6	dynamics	dynamic	NOUN
ejpam-7067	244	7	are	be	AUX
ejpam-7067	244	8	governed	govern	VERB
ejpam-7067	244	9	by	by	ADP
ejpam-7067	244	10	the	the	DET
ejpam-7067	244	11	saturation	saturation	NOUN
ejpam-7067	244	12	-	-	PUNCT
ejpam-7067	244	13	aware	aware	ADJ
ejpam-7067	244	14	system	system	NOUN
ejpam-7067	244	15	:	:	PUNCT
ejpam-7067	244	16	ẋ(t	ẋ(t	X
ejpam-7067	244	17	)	)	PUNCT
ejpam-7067	244	18	=	=	X
ejpam-7067	244	19	satω	satω	NOUN
ejpam-7067	244	20	(	(	PUNCT
ejpam-7067	244	21	−γ	−γ	NOUN
ejpam-7067	244	22	φα(z(t))le	φα(z(t))le	X
ejpam-7067	244	23	z(t	z(t	NOUN
ejpam-7067	244	24	)	)	PUNCT
ejpam-7067	244	25	)	)	PUNCT
ejpam-7067	244	26	,	,	PUNCT
ejpam-7067	244	27	z(t	z(t	X
ejpam-7067	244	28	)	)	PUNCT
ejpam-7067	244	29	=	=	PUNCT
ejpam-7067	245	1	d−1	d−1	PROPN
ejpam-7067	245	2	s	s	PART
ejpam-7067	245	3	x(t	x(t	PROPN
ejpam-7067	245	4	)	)	PUNCT
ejpam-7067	245	5	,	,	PUNCT
ejpam-7067	245	6	(	(	PUNCT
ejpam-7067	245	7	20	20	NUM
ejpam-7067	245	8	)	)	PUNCT
ejpam-7067	245	9	where	where	SCONJ
ejpam-7067	245	10	γ	γ	X
ejpam-7067	245	11	>	>	X
ejpam-7067	245	12	0	0	NUM
ejpam-7067	245	13	is	be	AUX
ejpam-7067	245	14	the	the	DET
ejpam-7067	245	15	control	control	NOUN
ejpam-7067	245	16	gain	gain	NOUN
ejpam-7067	245	17	,	,	PUNCT
ejpam-7067	245	18	φα(z	φα(z	NUM
ejpam-7067	245	19	)	)	PUNCT
ejpam-7067	245	20	denotes	denote	VERB
ejpam-7067	245	21	the	the	DET
ejpam-7067	245	22	threshold	threshold	NOUN
ejpam-7067	245	23	-	-	PUNCT
ejpam-7067	245	24	based	base	VERB
ejpam-7067	245	25	activation	activation	NOUN
ejpam-7067	245	26	operator	operator	NOUN
ejpam-7067	245	27	,	,	PUNCT
ejpam-7067	245	28	and	and	CCONJ
ejpam-7067	245	29	le	le	X
ejpam-7067	245	30	is	be	AUX
ejpam-7067	245	31	the	the	DET
ejpam-7067	245	32	edge	edge	NOUN
ejpam-7067	245	33	laplacian	laplacian	NOUN
ejpam-7067	245	34	.	.	PUNCT
ejpam-7067	246	1	to	to	PART
ejpam-7067	246	2	ensure	ensure	VERB
ejpam-7067	246	3	that	that	SCONJ
ejpam-7067	246	4	the	the	DET
ejpam-7067	246	5	saturation	saturation	NOUN
ejpam-7067	246	6	nonlinearity	nonlinearity	NOUN
ejpam-7067	246	7	remains	remain	VERB
ejpam-7067	246	8	inactive	inactive	ADJ
ejpam-7067	246	9	throughout	throughout	ADP
ejpam-7067	246	10	the	the	DET
ejpam-7067	246	11	evolution	evolution	NOUN
ejpam-7067	246	12	,	,	PUNCT
ejpam-7067	246	13	it	it	PRON
ejpam-7067	246	14	is	be	AUX
ejpam-7067	246	15	desirable	desirable	ADJ
ejpam-7067	246	16	to	to	PART
ejpam-7067	246	17	identify	identify	VERB
ejpam-7067	246	18	sufficient	sufficient	ADJ
ejpam-7067	246	19	initial	initial	ADJ
ejpam-7067	246	20	conditions	condition	NOUN
ejpam-7067	246	21	under	under	ADP
ejpam-7067	246	22	which	which	PRON
ejpam-7067	246	23	the	the	DET
ejpam-7067	246	24	system	system	NOUN
ejpam-7067	246	25	trajectories	trajectory	NOUN
ejpam-7067	246	26	remain	remain	VERB
ejpam-7067	246	27	within	within	ADP
ejpam-7067	246	28	the	the	DET
ejpam-7067	246	29	linear	linear	ADJ
ejpam-7067	246	30	(	(	PUNCT
ejpam-7067	246	31	unsaturated	unsaturated	ADJ
ejpam-7067	246	32	)	)	PUNCT
ejpam-7067	246	33	regime	regime	NOUN
ejpam-7067	246	34	.	.	PUNCT
ejpam-7067	247	1	in	in	ADP
ejpam-7067	247	2	such	such	ADJ
ejpam-7067	247	3	cases	case	NOUN
ejpam-7067	247	4	,	,	PUNCT
ejpam-7067	247	5	the	the	DET
ejpam-7067	247	6	system	system	NOUN
ejpam-7067	247	7	behaves	behave	VERB
ejpam-7067	247	8	identically	identically	ADV
ejpam-7067	247	9	to	to	ADP
ejpam-7067	247	10	the	the	DET
ejpam-7067	247	11	unsaturated	unsaturated	ADJ
ejpam-7067	247	12	flow	flow	NOUN
ejpam-7067	247	13	described	describe	VERB
ejpam-7067	247	14	in	in	ADP
ejpam-7067	247	15	theorem	theorem	ADJ
ejpam-7067	247	16	1	1	NUM
ejpam-7067	247	17	,	,	PUNCT
ejpam-7067	247	18	and	and	CCONJ
ejpam-7067	247	19	global	global	ADJ
ejpam-7067	247	20	scaled	scale	VERB
ejpam-7067	247	21	consensus	consensus	NOUN
ejpam-7067	247	22	is	be	AUX
ejpam-7067	247	23	achieved	achieve	VERB
ejpam-7067	247	24	.	.	PUNCT
ejpam-7067	248	1	the	the	DET
ejpam-7067	248	2	initial	initial	ADJ
ejpam-7067	248	3	dispersion	dispersion	NOUN
ejpam-7067	248	4	in	in	ADP
ejpam-7067	248	5	normalized	normalize	VERB
ejpam-7067	248	6	edge	edge	NOUN
ejpam-7067	248	7	coordinates	coordinate	NOUN
ejpam-7067	248	8	is	be	AUX
ejpam-7067	248	9	defined	define	VERB
ejpam-7067	248	10	as	as	ADP
ejpam-7067	248	11	disp0	disp0	VERB
ejpam-7067	248	12	:	:	PUNCT
ejpam-7067	248	13	=	=	SYM
ejpam-7067	248	14	max	max	PROPN
ejpam-7067	248	15	k,ℓ	k,ℓ	PROPN
ejpam-7067	248	16	|zk(0)−	|zk(0)−	PROPN
ejpam-7067	248	17	zℓ(0)|	zℓ(0)|	PROPN
ejpam-7067	248	18	.	.	PUNCT
ejpam-7067	249	1	(	(	PUNCT
ejpam-7067	249	2	21	21	NUM
ejpam-7067	249	3	)	)	PUNCT
ejpam-7067	249	4	theorem	theorem	NOUN
ejpam-7067	249	5	2	2	NUM
ejpam-7067	249	6	(	(	PUNCT
ejpam-7067	249	7	safe	safe	ADJ
ejpam-7067	249	8	-	-	PUNCT
ejpam-7067	249	9	dispersion	dispersion	NOUN
ejpam-7067	249	10	condition	condition	NOUN
ejpam-7067	249	11	implies	imply	VERB
ejpam-7067	249	12	exact	exact	ADJ
ejpam-7067	249	13	scaled	scale	VERB
ejpam-7067	249	14	consensus	consensus	NOUN
ejpam-7067	249	15	)	)	PUNCT
ejpam-7067	249	16	.	.	PUNCT
ejpam-7067	250	1	suppose	suppose	VERB
ejpam-7067	250	2	the	the	DET
ejpam-7067	250	3	initial	initial	ADJ
ejpam-7067	250	4	dispersion	dispersion	NOUN
ejpam-7067	250	5	disp0	disp0	VERB
ejpam-7067	250	6	satisfies	satisfie	NOUN
ejpam-7067	250	7	either	either	CCONJ
ejpam-7067	250	8	of	of	ADP
ejpam-7067	250	9	the	the	DET
ejpam-7067	250	10	following	follow	VERB
ejpam-7067	250	11	conditions	condition	NOUN
ejpam-7067	250	12	:	:	PUNCT
ejpam-7067	250	13	disp0	disp0	VERB
ejpam-7067	251	1	<	<	X
ejpam-7067	251	2	ω	ω	X
ejpam-7067	251	3	γ(m	γ(m	PROPN
ejpam-7067	251	4	−	−	PROPN
ejpam-7067	251	5	1	1	NUM
ejpam-7067	251	6	)	)	PUNCT
ejpam-7067	251	7	(	(	PUNCT
ejpam-7067	251	8	coarse	coarse	ADV
ejpam-7067	251	9	bound	bind	VERB
ejpam-7067	251	10	)	)	PUNCT
ejpam-7067	251	11	,	,	PUNCT
ejpam-7067	251	12	(	(	PUNCT
ejpam-7067	251	13	22	22	NUM
ejpam-7067	251	14	)	)	PUNCT
ejpam-7067	251	15	disp0	disp0	VERB
ejpam-7067	252	1	<	<	X
ejpam-7067	252	2	ω	ω	X
ejpam-7067	252	3	γ	γ	X
ejpam-7067	252	4	ce	ce	PROPN
ejpam-7067	252	5	,	,	PUNCT
ejpam-7067	252	6	ce	ce	PROPN
ejpam-7067	252	7	∈	∈	PROPN
ejpam-7067	252	8	{	{	PUNCT
ejpam-7067	252	9	∥le∥∞	∥le∥∞	PROPN
ejpam-7067	252	10	,	,	PUNCT
ejpam-7067	252	11	d(l)max	d(l)max	PROPN
ejpam-7067	252	12	,	,	PUNCT
ejpam-7067	252	13	∥le∥2	∥le∥2	X
ejpam-7067	252	14	λ2(ls	λ2(ls	NUM
ejpam-7067	252	15	e	e	NOUN
ejpam-7067	252	16	)	)	PUNCT
ejpam-7067	252	17	}	}	PUNCT
ejpam-7067	252	18	(	(	PUNCT
ejpam-7067	252	19	spectral	spectral	ADJ
ejpam-7067	252	20	or	or	CCONJ
ejpam-7067	252	21	degree	degree	NOUN
ejpam-7067	252	22	-	-	PUNCT
ejpam-7067	252	23	based	base	VERB
ejpam-7067	252	24	tightening	tightening	NOUN
ejpam-7067	252	25	)	)	PUNCT
ejpam-7067	252	26	,	,	PUNCT
ejpam-7067	252	27	(	(	PUNCT
ejpam-7067	252	28	23	23	NUM
ejpam-7067	252	29	)	)	PUNCT
ejpam-7067	252	30	then	then	ADV
ejpam-7067	252	31	the	the	DET
ejpam-7067	252	32	inequality	inequality	NOUN
ejpam-7067	252	33	∣∣γ[φα(z)lez]e	∣∣γ[φα(z)lez]e	X
ejpam-7067	252	34	∣∣	∣∣	PUNCT
ejpam-7067	252	35	<	<	X
ejpam-7067	252	36	ω	ω	PROPN
ejpam-7067	252	37	holds	hold	VERB
ejpam-7067	252	38	for	for	ADP
ejpam-7067	252	39	all	all	DET
ejpam-7067	252	40	edges	edge	NOUN
ejpam-7067	252	41	e	e	X
ejpam-7067	252	42	∈	∈	NOUN
ejpam-7067	252	43	e	e	NOUN
ejpam-7067	252	44	at	at	ADP
ejpam-7067	252	45	time	time	NOUN
ejpam-7067	252	46	t	t	NOUN
ejpam-7067	252	47	=	=	SYM
ejpam-7067	252	48	0	0	X
ejpam-7067	252	49	.	.	PUNCT
ejpam-7067	253	1	furthermore	furthermore	ADV
ejpam-7067	253	2	,	,	PUNCT
ejpam-7067	253	3	the	the	DET
ejpam-7067	253	4	dispersion	dispersion	NOUN
ejpam-7067	253	5	disp0	disp0	VERB
ejpam-7067	253	6	is	be	AUX
ejpam-7067	253	7	nonincreasing	nonincrease	VERB
ejpam-7067	253	8	along	along	ADP
ejpam-7067	253	9	the	the	DET
ejpam-7067	253	10	unsaturated	unsaturated	ADJ
ejpam-7067	253	11	flow	flow	NOUN
ejpam-7067	253	12	.	.	PUNCT
ejpam-7067	254	1	as	as	ADP
ejpam-7067	254	2	a	a	DET
ejpam-7067	254	3	result	result	NOUN
ejpam-7067	254	4	,	,	PUNCT
ejpam-7067	254	5	saturation	saturation	NOUN
ejpam-7067	254	6	remains	remain	VERB
ejpam-7067	254	7	inactive	inactive	ADJ
ejpam-7067	254	8	for	for	ADP
ejpam-7067	254	9	all	all	DET
ejpam-7067	254	10	future	future	ADJ
ejpam-7067	254	11	times	time	NOUN
ejpam-7067	254	12	t	t	PROPN
ejpam-7067	254	13	≥	≥	NOUN
ejpam-7067	254	14	0	0	NUM
ejpam-7067	254	15	,	,	PUNCT
ejpam-7067	254	16	and	and	CCONJ
ejpam-7067	254	17	the	the	DET
ejpam-7067	254	18	system	system	NOUN
ejpam-7067	254	19	evolves	evolve	VERB
ejpam-7067	254	20	according	accord	VERB
ejpam-7067	254	21	to	to	ADP
ejpam-7067	254	22	the	the	DET
ejpam-7067	254	23	linear	linear	ADJ
ejpam-7067	254	24	unsaturated	unsaturate	VERB
ejpam-7067	254	25	dynamics	dynamic	NOUN
ejpam-7067	254	26	:	:	PUNCT
ejpam-7067	254	27	ẋ(t	ẋ(t	X
ejpam-7067	254	28	)	)	PUNCT
ejpam-7067	255	1	=	=	SYM
ejpam-7067	255	2	−γ	−γ	NOUN
ejpam-7067	255	3	φα(z(t))le	φα(z(t))le	X
ejpam-7067	255	4	z(t	z(t	NOUN
ejpam-7067	255	5	)	)	PUNCT
ejpam-7067	255	6	.	.	PUNCT
ejpam-7067	256	1	consequently	consequently	ADV
ejpam-7067	256	2	,	,	PUNCT
ejpam-7067	256	3	the	the	DET
ejpam-7067	256	4	normalized	normalize	VERB
ejpam-7067	256	5	edge	edge	NOUN
ejpam-7067	256	6	states	state	NOUN
ejpam-7067	256	7	satisfy	satisfy	VERB
ejpam-7067	256	8	z(t	z(t	NOUN
ejpam-7067	256	9	)	)	PUNCT
ejpam-7067	256	10	→	→	SYM
ejpam-7067	256	11	λ1	λ1	PROPN
ejpam-7067	256	12	m	m	PROPN
ejpam-7067	256	13	as	as	ADP
ejpam-7067	256	14	t	t	PROPN
ejpam-7067	256	15	→	→	SYM
ejpam-7067	256	16	∞	∞	PROPN
ejpam-7067	256	17	,	,	PUNCT
ejpam-7067	256	18	for	for	ADP
ejpam-7067	256	19	some	some	DET
ejpam-7067	256	20	λ	λ	NOUN
ejpam-7067	256	21	∈	∈	PROPN
ejpam-7067	256	22	r	r	NOUN
ejpam-7067	256	23	,	,	PUNCT
ejpam-7067	256	24	and	and	CCONJ
ejpam-7067	256	25	exact	exact	ADJ
ejpam-7067	256	26	scaled	scale	VERB
ejpam-7067	256	27	edge	edge	NOUN
ejpam-7067	256	28	consensus	consensus	NOUN
ejpam-7067	256	29	is	be	AUX
ejpam-7067	256	30	achieved	achieve	VERB
ejpam-7067	256	31	.	.	PUNCT
ejpam-7067	257	1	m.	m.	NOUN
ejpam-7067	257	2	donganont	donganont	PROPN
ejpam-7067	257	3	et	et	PROPN
ejpam-7067	257	4	al	al	PROPN
ejpam-7067	257	5	.	.	PUNCT
ejpam-7067	257	6	/	/	SYM
ejpam-7067	257	7	eur	eur	PROPN
ejpam-7067	257	8	.	.	PUNCT
ejpam-7067	258	1	j.	j.	PROPN
ejpam-7067	258	2	pure	pure	PROPN
ejpam-7067	258	3	appl	appl	PROPN
ejpam-7067	258	4	.	.	PROPN
ejpam-7067	258	5	math	math	PROPN
ejpam-7067	258	6	,	,	PUNCT
ejpam-7067	258	7	18	18	NUM
ejpam-7067	258	8	(	(	PUNCT
ejpam-7067	258	9	4	4	NUM
ejpam-7067	258	10	)	)	PUNCT
ejpam-7067	258	11	(	(	PUNCT
ejpam-7067	258	12	2025	2025	NUM
ejpam-7067	258	13	)	)	PUNCT
ejpam-7067	258	14	,	,	PUNCT
ejpam-7067	258	15	7067	7067	NUM
ejpam-7067	258	16	13	13	NUM
ejpam-7067	258	17	of	of	ADP
ejpam-7067	258	18	22	22	NUM
ejpam-7067	258	19	proof	proof	NOUN
ejpam-7067	258	20	.	.	PUNCT
ejpam-7067	259	1	for	for	ADP
ejpam-7067	259	2	each	each	DET
ejpam-7067	259	3	edge	edge	NOUN
ejpam-7067	259	4	e	e	NOUN
ejpam-7067	259	5	,	,	PUNCT
ejpam-7067	259	6	by	by	ADP
ejpam-7067	259	7	definition	definition	NOUN
ejpam-7067	259	8	of	of	ADP
ejpam-7067	259	9	le	le	X
ejpam-7067	259	10	and	and	CCONJ
ejpam-7067	259	11	φα	φα	CCONJ
ejpam-7067	259	12	,	,	PUNCT
ejpam-7067	259	13	|[φα(z)lez]e|	|[φα(z)lez]e|	PROPN
ejpam-7067	259	14	≤	≤	NOUN
ejpam-7067	259	15	∑	∑	PUNCT
ejpam-7067	259	16	e′	e′	X
ejpam-7067	259	17	wee′	wee′	NOUN
ejpam-7067	259	18	|ze(0)−	|ze(0)−	PROPN
ejpam-7067	260	1	ze′(0)|	ze′(0)|	NOUN
ejpam-7067	260	2	,	,	PUNCT
ejpam-7067	260	3	where	where	SCONJ
ejpam-7067	260	4	wee′	wee′	NOUN
ejpam-7067	260	5	≥	≥	NUM
ejpam-7067	260	6	0	0	NUM
ejpam-7067	260	7	are	be	AUX
ejpam-7067	260	8	the	the	DET
ejpam-7067	260	9	active	active	ADJ
ejpam-7067	260	10	off	off	ADJ
ejpam-7067	260	11	-	-	PUNCT
ejpam-7067	260	12	diagonal	diagonal	ADJ
ejpam-7067	260	13	entries	entry	NOUN
ejpam-7067	260	14	(	(	PUNCT
ejpam-7067	260	15	row	row	NOUN
ejpam-7067	260	16	weights	weight	NOUN
ejpam-7067	260	17	)	)	PUNCT
ejpam-7067	260	18	of	of	ADP
ejpam-7067	260	19	le	le	X
ejpam-7067	260	20	.	.	PUNCT
ejpam-7067	261	1	bounding	bound	VERB
ejpam-7067	261	2	the	the	DET
ejpam-7067	261	3	rowsum	rowsum	NOUN
ejpam-7067	261	4	by	by	ADP
ejpam-7067	261	5	m−1	m−1	PROPN
ejpam-7067	261	6	gives	give	VERB
ejpam-7067	261	7	(	(	PUNCT
ejpam-7067	261	8	22	22	NUM
ejpam-7067	261	9	)	)	PUNCT
ejpam-7067	261	10	;	;	PUNCT
ejpam-7067	261	11	bounding	bound	VERB
ejpam-7067	261	12	it	it	PRON
ejpam-7067	261	13	by	by	ADP
ejpam-7067	261	14	ce	ce	PROPN
ejpam-7067	261	15	(	(	PUNCT
ejpam-7067	261	16	a	a	DET
ejpam-7067	261	17	graph	graph	NOUN
ejpam-7067	261	18	-	-	PUNCT
ejpam-7067	261	19	aware	aware	ADJ
ejpam-7067	261	20	constant	constant	ADJ
ejpam-7067	261	21	)	)	PUNCT
ejpam-7067	261	22	gives	give	VERB
ejpam-7067	261	23	(	(	PUNCT
ejpam-7067	261	24	23	23	NUM
ejpam-7067	261	25	)	)	PUNCT
ejpam-7067	261	26	.	.	PUNCT
ejpam-7067	262	1	hence	hence	ADV
ejpam-7067	262	2	at	at	ADP
ejpam-7067	262	3	t	t	PROPN
ejpam-7067	262	4	=	=	SYM
ejpam-7067	262	5	0	0	PROPN
ejpam-7067	262	6	,	,	PUNCT
ejpam-7067	262	7	|γ	|γ	X
ejpam-7067	263	1	[	[	X
ejpam-7067	263	2	φα(z)lez]e|	φα(z)lez]e|	PROPN
ejpam-7067	263	3	<	<	X
ejpam-7067	263	4	ω	ω	PROPN
ejpam-7067	263	5	∀e	∀e	PROPN
ejpam-7067	263	6	.	.	PUNCT
ejpam-7067	264	1	therefore	therefore	ADV
ejpam-7067	264	2	the	the	DET
ejpam-7067	264	3	saturated	saturated	ADJ
ejpam-7067	264	4	and	and	CCONJ
ejpam-7067	264	5	unsaturated	unsaturated	ADJ
ejpam-7067	264	6	vector	vector	NOUN
ejpam-7067	264	7	fields	field	NOUN
ejpam-7067	264	8	agree	agree	VERB
ejpam-7067	264	9	initially	initially	ADV
ejpam-7067	264	10	.	.	PUNCT
ejpam-7067	265	1	under	under	ADP
ejpam-7067	265	2	the	the	DET
ejpam-7067	265	3	unsaturated	unsaturated	ADJ
ejpam-7067	265	4	flow	flow	NOUN
ejpam-7067	265	5	,	,	PUNCT
ejpam-7067	265	6	v	v	X
ejpam-7067	265	7	(	(	PUNCT
ejpam-7067	265	8	z	z	NOUN
ejpam-7067	265	9	)	)	PUNCT
ejpam-7067	265	10	=	=	SYM
ejpam-7067	266	1	1	1	NUM
ejpam-7067	266	2	2∥z	2∥z	NUM
ejpam-7067	266	3	−	−	NOUN
ejpam-7067	266	4	πz∥2	πz∥2	NOUN
ejpam-7067	266	5	is	be	AUX
ejpam-7067	266	6	nonincreasing	nonincrease	VERB
ejpam-7067	266	7	by	by	ADP
ejpam-7067	266	8	theorem	theorem	NOUN
ejpam-7067	266	9	1	1	NUM
ejpam-7067	266	10	,	,	PUNCT
ejpam-7067	266	11	so	so	ADV
ejpam-7067	266	12	the	the	DET
ejpam-7067	266	13	dispersion	dispersion	NOUN
ejpam-7067	266	14	maxk,ℓ	maxk,ℓ	NUM
ejpam-7067	266	15	|zk	|zk	PUNCT
ejpam-7067	266	16	−zℓ|	−zℓ|	PROPN
ejpam-7067	266	17	can	can	AUX
ejpam-7067	266	18	not	not	PART
ejpam-7067	266	19	increase	increase	VERB
ejpam-7067	266	20	.	.	PUNCT
ejpam-7067	267	1	thus	thus	ADV
ejpam-7067	267	2	the	the	DET
ejpam-7067	267	3	above	above	ADJ
ejpam-7067	267	4	input	input	NOUN
ejpam-7067	267	5	bound	bind	VERB
ejpam-7067	267	6	remains	remain	VERB
ejpam-7067	267	7	valid	valid	ADJ
ejpam-7067	267	8	for	for	ADP
ejpam-7067	267	9	all	all	DET
ejpam-7067	267	10	t	t	PROPN
ejpam-7067	267	11	≥	≥	NOUN
ejpam-7067	267	12	0	0	NUM
ejpam-7067	267	13	,	,	PUNCT
ejpam-7067	267	14	preventing	prevent	VERB
ejpam-7067	267	15	saturation	saturation	NOUN
ejpam-7067	267	16	from	from	ADP
ejpam-7067	267	17	ever	ever	ADV
ejpam-7067	267	18	activating	activate	VERB
ejpam-7067	267	19	.	.	PUNCT
ejpam-7067	268	1	the	the	DET
ejpam-7067	268	2	trajectory	trajectory	NOUN
ejpam-7067	268	3	coincides	coincide	VERB
ejpam-7067	268	4	with	with	ADP
ejpam-7067	268	5	(	(	PUNCT
ejpam-7067	268	6	18	18	NUM
ejpam-7067	268	7	)	)	PUNCT
ejpam-7067	268	8	,	,	PUNCT
ejpam-7067	268	9	and	and	CCONJ
ejpam-7067	268	10	theorem	theorem	VERB
ejpam-7067	268	11	1	1	NUM
ejpam-7067	268	12	implies	imply	VERB
ejpam-7067	268	13	z(t	z(t	NOUN
ejpam-7067	268	14	)	)	PUNCT
ejpam-7067	268	15	→	→	SYM
ejpam-7067	268	16	λ1	λ1	PROPN
ejpam-7067	268	17	m	m	PROPN
ejpam-7067	268	18	.	.	PUNCT
ejpam-7067	269	1	remark	remark	PROPN
ejpam-7067	269	2	2	2	NUM
ejpam-7067	269	3	(	(	PUNCT
ejpam-7067	269	4	tightness	tightness	NOUN
ejpam-7067	269	5	of	of	ADP
ejpam-7067	269	6	certificates	certificate	NOUN
ejpam-7067	269	7	)	)	PUNCT
ejpam-7067	269	8	.	.	PUNCT
ejpam-7067	270	1	the	the	DET
ejpam-7067	270	2	coarse	coarse	ADJ
ejpam-7067	270	3	bound	bind	VERB
ejpam-7067	270	4	(	(	PUNCT
ejpam-7067	270	5	22	22	NUM
ejpam-7067	270	6	)	)	PUNCT
ejpam-7067	270	7	is	be	AUX
ejpam-7067	270	8	simple	simple	ADJ
ejpam-7067	270	9	but	but	CCONJ
ejpam-7067	270	10	conservative	conservative	ADJ
ejpam-7067	270	11	;	;	PUNCT
ejpam-7067	270	12	(	(	PUNCT
ejpam-7067	270	13	23	23	X
ejpam-7067	270	14	)	)	PUNCT
ejpam-7067	270	15	replaces	replace	VERB
ejpam-7067	270	16	(	(	PUNCT
ejpam-7067	270	17	m	m	NOUN
ejpam-7067	270	18	−	−	NOUN
ejpam-7067	270	19	1	1	NUM
ejpam-7067	270	20	)	)	PUNCT
ejpam-7067	270	21	by	by	ADP
ejpam-7067	270	22	induced	induce	VERB
ejpam-7067	270	23	-	-	PUNCT
ejpam-7067	270	24	norm	norm	NOUN
ejpam-7067	270	25	/	/	SYM
ejpam-7067	270	26	degree	degree	NOUN
ejpam-7067	270	27	/	/	SYM
ejpam-7067	270	28	spectral	spectral	ADJ
ejpam-7067	270	29	quantities	quantity	NOUN
ejpam-7067	270	30	of	of	ADP
ejpam-7067	270	31	l(g	l(g	NOUN
ejpam-7067	270	32	)	)	PUNCT
ejpam-7067	270	33	,	,	PUNCT
ejpam-7067	270	34	significantly	significantly	ADV
ejpam-7067	270	35	enlarging	enlarge	VERB
ejpam-7067	270	36	the	the	DET
ejpam-7067	270	37	certified	certified	ADJ
ejpam-7067	270	38	domain	domain	NOUN
ejpam-7067	270	39	in	in	ADP
ejpam-7067	270	40	practice	practice	NOUN
ejpam-7067	270	41	.	.	PUNCT
ejpam-7067	271	1	low	low	ADJ
ejpam-7067	271	2	-	-	PUNCT
ejpam-7067	271	3	gain	gain	NOUN
ejpam-7067	271	4	saturated	saturate	VERB
ejpam-7067	271	5	control	control	NOUN
ejpam-7067	271	6	and	and	CCONJ
ejpam-7067	271	7	bounded	bound	VERB
ejpam-7067	271	8	quasi	quasi	NOUN
ejpam-7067	271	9	-	-	NOUN
ejpam-7067	271	10	consensus	consensus	NOUN
ejpam-7067	271	11	in	in	ADP
ejpam-7067	271	12	situations	situation	NOUN
ejpam-7067	271	13	where	where	SCONJ
ejpam-7067	271	14	the	the	DET
ejpam-7067	271	15	initial	initial	ADJ
ejpam-7067	271	16	dispersion	dispersion	NOUN
ejpam-7067	271	17	violates	violate	VERB
ejpam-7067	271	18	the	the	DET
ejpam-7067	271	19	safe	safe	ADJ
ejpam-7067	271	20	-	-	PUNCT
ejpam-7067	271	21	dispersion	dispersion	NOUN
ejpam-7067	271	22	condition	condition	NOUN
ejpam-7067	271	23	or	or	CCONJ
ejpam-7067	271	24	the	the	DET
ejpam-7067	271	25	available	available	ADJ
ejpam-7067	271	26	actuation	actuation	NOUN
ejpam-7067	271	27	budget	budget	NOUN
ejpam-7067	271	28	is	be	AUX
ejpam-7067	271	29	limited	limit	VERB
ejpam-7067	271	30	,	,	PUNCT
ejpam-7067	271	31	the	the	DET
ejpam-7067	271	32	low	low	ADJ
ejpam-7067	271	33	-	-	PUNCT
ejpam-7067	271	34	gain	gain	NOUN
ejpam-7067	271	35	control	control	NOUN
ejpam-7067	271	36	law	law	NOUN
ejpam-7067	271	37	ẋ(t	ẋ(t	NOUN
ejpam-7067	271	38	)	)	PUNCT
ejpam-7067	272	1	=	=	VERB
ejpam-7067	272	2	satω	satω	NOUN
ejpam-7067	272	3	(	(	PUNCT
ejpam-7067	272	4	−ε	−ε	PROPN
ejpam-7067	272	5	γ	γ	X
ejpam-7067	272	6	φα(z(t))le	φα(z(t))le	X
ejpam-7067	272	7	z(t	z(t	NOUN
ejpam-7067	272	8	)	)	PUNCT
ejpam-7067	272	9	)	)	PUNCT
ejpam-7067	272	10	,	,	PUNCT
ejpam-7067	272	11	0	0	NUM
ejpam-7067	272	12	<	<	X
ejpam-7067	272	13	ε	ε	PROPN
ejpam-7067	272	14	≤	≤	PROPN
ejpam-7067	272	15	1	1	NUM
ejpam-7067	272	16	,	,	PUNCT
ejpam-7067	272	17	(	(	PUNCT
ejpam-7067	272	18	24	24	NUM
ejpam-7067	272	19	)	)	PUNCT
ejpam-7067	272	20	is	be	AUX
ejpam-7067	272	21	employed	employ	VERB
ejpam-7067	272	22	to	to	PART
ejpam-7067	272	23	enhance	enhance	VERB
ejpam-7067	272	24	robustness	robustness	NOUN
ejpam-7067	272	25	.	.	PUNCT
ejpam-7067	273	1	under	under	ADP
ejpam-7067	273	2	this	this	DET
ejpam-7067	273	3	formulation	formulation	NOUN
ejpam-7067	273	4	,	,	PUNCT
ejpam-7067	273	5	the	the	DET
ejpam-7067	273	6	system	system	NOUN
ejpam-7067	273	7	exhibits	exhibit	VERB
ejpam-7067	273	8	a	a	DET
ejpam-7067	273	9	dichotomous	dichotomous	ADJ
ejpam-7067	273	10	behavior	behavior	NOUN
ejpam-7067	273	11	:	:	PUNCT
ejpam-7067	273	12	if	if	SCONJ
ejpam-7067	273	13	the	the	DET
ejpam-7067	273	14	gain	gain	NOUN
ejpam-7067	273	15	ε	ε	PROPN
ejpam-7067	273	16	is	be	AUX
ejpam-7067	273	17	sufficiently	sufficiently	ADV
ejpam-7067	273	18	small	small	ADJ
ejpam-7067	273	19	,	,	PUNCT
ejpam-7067	273	20	then	then	ADV
ejpam-7067	273	21	saturation	saturation	NOUN
ejpam-7067	273	22	remains	remain	VERB
ejpam-7067	273	23	inactive	inactive	ADJ
ejpam-7067	273	24	and	and	CCONJ
ejpam-7067	273	25	exact	exact	ADJ
ejpam-7067	273	26	consensus	consensus	NOUN
ejpam-7067	273	27	is	be	AUX
ejpam-7067	273	28	recovered	recover	VERB
ejpam-7067	273	29	;	;	PUNCT
ejpam-7067	273	30	otherwise	otherwise	ADV
ejpam-7067	273	31	,	,	PUNCT
ejpam-7067	273	32	the	the	DET
ejpam-7067	273	33	normalized	normalize	VERB
ejpam-7067	273	34	edge	edge	NOUN
ejpam-7067	273	35	states	state	NOUN
ejpam-7067	273	36	converge	converge	VERB
ejpam-7067	273	37	to	to	ADP
ejpam-7067	273	38	a	a	DET
ejpam-7067	273	39	bounded	bounded	ADJ
ejpam-7067	273	40	region	region	NOUN
ejpam-7067	273	41	whose	whose	DET
ejpam-7067	273	42	radius	radius	NOUN
ejpam-7067	273	43	scales	scale	VERB
ejpam-7067	273	44	proportionally	proportionally	ADV
ejpam-7067	273	45	with	with	ADP
ejpam-7067	273	46	the	the	DET
ejpam-7067	273	47	threshold	threshold	NOUN
ejpam-7067	273	48	parameter	parameter	PROPN
ejpam-7067	273	49	α	α	PROPN
ejpam-7067	273	50	.	.	PUNCT
ejpam-7067	274	1	theorem	theorem	ADJ
ejpam-7067	274	2	3	3	NUM
ejpam-7067	274	3	(	(	PUNCT
ejpam-7067	274	4	low	low	ADJ
ejpam-7067	274	5	-	-	PUNCT
ejpam-7067	274	6	gain	gain	NOUN
ejpam-7067	274	7	guarantees	guarantee	NOUN
ejpam-7067	274	8	:	:	PUNCT
ejpam-7067	274	9	exact	exact	ADJ
ejpam-7067	274	10	consensus	consensus	NOUN
ejpam-7067	274	11	or	or	CCONJ
ejpam-7067	274	12	bounded	bound	VERB
ejpam-7067	274	13	quasi	quasi	NOUN
ejpam-7067	274	14	-	-	NOUN
ejpam-7067	274	15	consensus	consensus	NOUN
ejpam-7067	274	16	)	)	PUNCT
ejpam-7067	274	17	.	.	PUNCT
ejpam-7067	275	1	let	let	VERB
ejpam-7067	275	2	the	the	DET
ejpam-7067	275	3	saturation	saturation	NOUN
ejpam-7067	275	4	-	-	PUNCT
ejpam-7067	275	5	aware	aware	ADJ
ejpam-7067	275	6	protocol	protocol	NOUN
ejpam-7067	275	7	be	be	AUX
ejpam-7067	275	8	given	give	VERB
ejpam-7067	275	9	by	by	ADP
ejpam-7067	275	10	ẋ(t	ẋ(t	NOUN
ejpam-7067	275	11	)	)	PUNCT
ejpam-7067	276	1	=	=	VERB
ejpam-7067	276	2	satω	satω	NOUN
ejpam-7067	276	3	(	(	PUNCT
ejpam-7067	276	4	−	−	PROPN
ejpam-7067	276	5	ε	ε	PROPN
ejpam-7067	276	6	γ	γ	X
ejpam-7067	276	7	φα(z(t))le	φα(z(t))le	X
ejpam-7067	276	8	z(t	z(t	NOUN
ejpam-7067	276	9	)	)	PUNCT
ejpam-7067	276	10	)	)	PUNCT
ejpam-7067	276	11	,	,	PUNCT
ejpam-7067	276	12	z(t	z(t	X
ejpam-7067	276	13	)	)	PUNCT
ejpam-7067	276	14	=	=	PUNCT
ejpam-7067	277	1	d−1	d−1	PROPN
ejpam-7067	277	2	s	s	PART
ejpam-7067	277	3	x(t	x(t	PROPN
ejpam-7067	277	4	)	)	PUNCT
ejpam-7067	277	5	,	,	PUNCT
ejpam-7067	277	6	0	0	NUM
ejpam-7067	277	7	<	<	X
ejpam-7067	277	8	ε	ε	PROPN
ejpam-7067	277	9	≤	≤	PROPN
ejpam-7067	277	10	1	1	NUM
ejpam-7067	277	11	,	,	PUNCT
ejpam-7067	277	12	γ	γ	X
ejpam-7067	277	13	>	>	X
ejpam-7067	277	14	0	0	NUM
ejpam-7067	277	15	,	,	PUNCT
ejpam-7067	277	16	with	with	ADP
ejpam-7067	277	17	hysteretic	hysteretic	ADJ
ejpam-7067	277	18	activation	activation	NOUN
ejpam-7067	277	19	φα	φα	PROPN
ejpam-7067	277	20	(	(	PUNCT
ejpam-7067	277	21	·	·	PUNCT
ejpam-7067	277	22	)	)	PUNCT
ejpam-7067	277	23	as	as	ADP
ejpam-7067	277	24	in	in	ADP
ejpam-7067	277	25	(	(	PUNCT
ejpam-7067	277	26	12	12	NUM
ejpam-7067	277	27	)	)	PUNCT
ejpam-7067	277	28	.	.	PUNCT
ejpam-7067	278	1	define	define	VERB
ejpam-7067	278	2	the	the	DET
ejpam-7067	278	3	initial	initial	ADJ
ejpam-7067	278	4	dispersion	dispersion	NOUN
ejpam-7067	278	5	δ0	δ0	NOUN
ejpam-7067	278	6	:	:	PUNCT
ejpam-7067	278	7	=	=	SYM
ejpam-7067	278	8	disp0	disp0	VERB
ejpam-7067	279	1	=	=	SYM
ejpam-7067	279	2	max	max	PROPN
ejpam-7067	279	3	k,ℓ	k,ℓ	PROPN
ejpam-7067	279	4	|zk(0)−	|zk(0)−	PROPN
ejpam-7067	279	5	zℓ(0)|	zℓ(0)|	PROPN
ejpam-7067	279	6	.	.	PUNCT
ejpam-7067	280	1	let	let	VERB
ejpam-7067	280	2	ce	ce	PROPN
ejpam-7067	280	3	∈	∈	PROPN
ejpam-7067	280	4	{	{	PUNCT
ejpam-7067	280	5	∥le∥∞	∥le∥∞	PROPN
ejpam-7067	280	6	,	,	PUNCT
ejpam-7067	280	7	d(l)max	d(l)max	PROPN
ejpam-7067	280	8	,	,	PUNCT
ejpam-7067	280	9	∥le∥2	∥le∥2	PUNCT
ejpam-7067	280	10	/	/	SYM
ejpam-7067	281	1	λ2(l	λ2(l	X
ejpam-7067	281	2	s	s	NOUN
ejpam-7067	281	3	e	e	NOUN
ejpam-7067	281	4	)	)	PUNCT
ejpam-7067	281	5	}	}	PUNCT
ejpam-7067	281	6	,	,	PUNCT
ejpam-7067	281	7	cq	cq	PROPN
ejpam-7067	281	8	∈	∈	PROPN
ejpam-7067	281	9	{	{	PUNCT
ejpam-7067	281	10	∥le∥∞	∥le∥∞	PROPN
ejpam-7067	281	11	,	,	PUNCT
ejpam-7067	281	12	d(l)max	d(l)max	PROPN
ejpam-7067	281	13	}	}	PUNCT
ejpam-7067	281	14	,	,	PUNCT
ejpam-7067	281	15	where	where	SCONJ
ejpam-7067	281	16	ls	ls	PROPN
ejpam-7067	281	17	e	e	NOUN
ejpam-7067	281	18	=	=	PUNCT
ejpam-7067	281	19	(	(	PUNCT
ejpam-7067	281	20	le	le	X
ejpam-7067	281	21	+	+	NUM
ejpam-7067	281	22	l⊤	l⊤	X
ejpam-7067	281	23	e	e	NOUN
ejpam-7067	281	24	)	)	PUNCT
ejpam-7067	281	25	/2	/2	PROPN
ejpam-7067	281	26	and	and	CCONJ
ejpam-7067	281	27	d	d	X
ejpam-7067	281	28	(	(	PUNCT
ejpam-7067	281	29	l	l	NOUN
ejpam-7067	281	30	)	)	PUNCT
ejpam-7067	281	31	max	max	PROPN
ejpam-7067	281	32	denotes	denote	VERB
ejpam-7067	281	33	the	the	DET
ejpam-7067	281	34	maximum	maximum	ADJ
ejpam-7067	281	35	in	in	ADP
ejpam-7067	281	36	-	-	PUNCT
ejpam-7067	281	37	degree	degree	NOUN
ejpam-7067	281	38	of	of	ADP
ejpam-7067	281	39	the	the	DET
ejpam-7067	281	40	line	line	NOUN
ejpam-7067	281	41	digraph	digraph	NOUN
ejpam-7067	281	42	.	.	PUNCT
ejpam-7067	282	1	then	then	ADV
ejpam-7067	282	2	:	:	PUNCT
ejpam-7067	282	3	m.	m.	NOUN
ejpam-7067	282	4	donganont	donganont	PROPN
ejpam-7067	282	5	et	et	PROPN
ejpam-7067	282	6	al	al	PROPN
ejpam-7067	282	7	.	.	PUNCT
ejpam-7067	282	8	/	/	SYM
ejpam-7067	282	9	eur	eur	PROPN
ejpam-7067	282	10	.	.	PUNCT
ejpam-7067	283	1	j.	j.	PROPN
ejpam-7067	283	2	pure	pure	PROPN
ejpam-7067	283	3	appl	appl	PROPN
ejpam-7067	283	4	.	.	PROPN
ejpam-7067	283	5	math	math	PROPN
ejpam-7067	283	6	,	,	PUNCT
ejpam-7067	283	7	18	18	NUM
ejpam-7067	283	8	(	(	PUNCT
ejpam-7067	283	9	4	4	NUM
ejpam-7067	283	10	)	)	PUNCT
ejpam-7067	283	11	(	(	PUNCT
ejpam-7067	283	12	2025	2025	NUM
ejpam-7067	283	13	)	)	PUNCT
ejpam-7067	283	14	,	,	PUNCT
ejpam-7067	283	15	7067	7067	NUM
ejpam-7067	283	16	14	14	NUM
ejpam-7067	283	17	of	of	ADP
ejpam-7067	283	18	22	22	NUM
ejpam-7067	283	19	(	(	PUNCT
ejpam-7067	283	20	i	i	NOUN
ejpam-7067	283	21	)	)	PUNCT
ejpam-7067	283	22	exact	exact	ADJ
ejpam-7067	283	23	scaled	scale	VERB
ejpam-7067	283	24	consensus	consensus	NOUN
ejpam-7067	283	25	(	(	PUNCT
ejpam-7067	283	26	unsaturated	unsaturated	ADJ
ejpam-7067	283	27	regime	regime	NOUN
ejpam-7067	283	28	)	)	PUNCT
ejpam-7067	283	29	.	.	PUNCT
ejpam-7067	284	1	if	if	SCONJ
ejpam-7067	284	2	ε	ε	PROPN
ejpam-7067	284	3	≤	≤	PROPN
ejpam-7067	284	4	ω	ω	PROPN
ejpam-7067	284	5	γ	γ	X
ejpam-7067	284	6	ce	ce	PROPN
ejpam-7067	284	7	δ0	δ0	NOUN
ejpam-7067	284	8	,	,	PUNCT
ejpam-7067	284	9	(	(	PUNCT
ejpam-7067	284	10	25	25	NUM
ejpam-7067	284	11	)	)	PUNCT
ejpam-7067	284	12	the	the	DET
ejpam-7067	284	13	saturation	saturation	NOUN
ejpam-7067	284	14	nonlinearity	nonlinearity	NOUN
ejpam-7067	284	15	remains	remain	VERB
ejpam-7067	284	16	inactive	inactive	ADJ
ejpam-7067	284	17	for	for	ADP
ejpam-7067	284	18	all	all	DET
ejpam-7067	284	19	t	t	PROPN
ejpam-7067	284	20	≥	≥	NOUN
ejpam-7067	284	21	0	0	NUM
ejpam-7067	284	22	,	,	PUNCT
ejpam-7067	284	23	the	the	DET
ejpam-7067	284	24	closed	closed	ADJ
ejpam-7067	284	25	loop	loop	NOUN
ejpam-7067	284	26	coincides	coincide	VERB
ejpam-7067	284	27	with	with	ADP
ejpam-7067	284	28	the	the	DET
ejpam-7067	284	29	unsaturated	unsaturated	ADJ
ejpam-7067	284	30	flow	flow	NOUN
ejpam-7067	284	31	,	,	PUNCT
ejpam-7067	284	32	and	and	CCONJ
ejpam-7067	284	33	z(t	z(t	NOUN
ejpam-7067	284	34	)	)	PUNCT
ejpam-7067	284	35	→	→	SYM
ejpam-7067	284	36	λ1	λ1	PROPN
ejpam-7067	284	37	m	m	PROPN
ejpam-7067	284	38	as	as	ADP
ejpam-7067	284	39	t	t	PROPN
ejpam-7067	284	40	→	→	SYM
ejpam-7067	284	41	∞	∞	PROPN
ejpam-7067	284	42	for	for	ADP
ejpam-7067	284	43	some	some	DET
ejpam-7067	284	44	λ	λ	PROPN
ejpam-7067	284	45	∈	∈	PROPN
ejpam-7067	284	46	r.	r.	PROPN
ejpam-7067	284	47	(	(	PUNCT
ejpam-7067	284	48	ii	ii	PROPN
ejpam-7067	284	49	)	)	PUNCT
ejpam-7067	284	50	bounded	bound	VERB
ejpam-7067	284	51	scaled	scale	VERB
ejpam-7067	284	52	quasi	quasi	NOUN
ejpam-7067	284	53	-	-	NOUN
ejpam-7067	284	54	consensus	consensus	NOUN
ejpam-7067	284	55	(	(	PUNCT
ejpam-7067	284	56	saturated	saturate	VERB
ejpam-7067	284	57	regime	regime	NOUN
ejpam-7067	284	58	)	)	PUNCT
ejpam-7067	284	59	.	.	PUNCT
ejpam-7067	285	1	if	if	SCONJ
ejpam-7067	285	2	(	(	PUNCT
ejpam-7067	285	3	25	25	NUM
ejpam-7067	285	4	)	)	PUNCT
ejpam-7067	285	5	does	do	AUX
ejpam-7067	285	6	not	not	PART
ejpam-7067	285	7	hold	hold	VERB
ejpam-7067	285	8	,	,	PUNCT
ejpam-7067	285	9	every	every	DET
ejpam-7067	285	10	trajectory	trajectory	NOUN
ejpam-7067	285	11	enters	enter	VERB
ejpam-7067	285	12	and	and	CCONJ
ejpam-7067	285	13	remains	remain	VERB
ejpam-7067	285	14	in	in	ADP
ejpam-7067	285	15	the	the	DET
ejpam-7067	285	16	forward	forward	ADV
ejpam-7067	285	17	-	-	PUNCT
ejpam-7067	285	18	invariant	invariant	ADJ
ejpam-7067	285	19	band	band	NOUN
ejpam-7067	285	20	bρ	bρ	VERB
ejpam-7067	285	21	:	:	PUNCT
ejpam-7067	285	22	=	=	SYM
ejpam-7067	285	23	{	{	PUNCT
ejpam-7067	285	24	z	z	PROPN
ejpam-7067	285	25	∈	∈	PROPN
ejpam-7067	285	26	rm	rm	NOUN
ejpam-7067	285	27	:	:	PUNCT
ejpam-7067	285	28	max	max	PROPN
ejpam-7067	285	29	k,ℓ	k,ℓ	PROPN
ejpam-7067	285	30	|zk	|zk	PUNCT
ejpam-7067	285	31	−	−	PROPN
ejpam-7067	285	32	zℓ|	zℓ|	PROPN
ejpam-7067	285	33	≤	≤	PROPN
ejpam-7067	285	34	ρ	ρ	PROPN
ejpam-7067	285	35	}	}	PUNCT
ejpam-7067	285	36	,	,	PUNCT
ejpam-7067	285	37	ρ	ρ	PROPN
ejpam-7067	285	38	:	:	PUNCT
ejpam-7067	285	39	=	=	NOUN
ejpam-7067	285	40	cq	cq	NOUN
ejpam-7067	285	41	α	α	PROPN
ejpam-7067	285	42	,	,	PUNCT
ejpam-7067	285	43	(	(	PUNCT
ejpam-7067	285	44	26	26	NUM
ejpam-7067	285	45	)	)	PUNCT
ejpam-7067	285	46	so	so	SCONJ
ejpam-7067	285	47	that	that	SCONJ
ejpam-7067	285	48	the	the	DET
ejpam-7067	285	49	normalized	normalize	VERB
ejpam-7067	285	50	edge	edge	NOUN
ejpam-7067	285	51	states	state	NOUN
ejpam-7067	285	52	achieve	achieve	VERB
ejpam-7067	285	53	scaled	scale	VERB
ejpam-7067	285	54	quasi	quasi	NOUN
ejpam-7067	285	55	-	-	NOUN
ejpam-7067	285	56	consensus	consensus	NOUN
ejpam-7067	285	57	with	with	ADP
ejpam-7067	285	58	explicit	explicit	ADJ
ejpam-7067	285	59	radius	radius	NOUN
ejpam-7067	285	60	ρ	ρ	NOUN
ejpam-7067	285	61	.	.	PUNCT
ejpam-7067	286	1	choosing	choose	VERB
ejpam-7067	286	2	cq	cq	PROPN
ejpam-7067	287	1	=	=	PROPN
ejpam-7067	287	2	m	m	NOUN
ejpam-7067	287	3	−	−	NOUN
ejpam-7067	287	4	1	1	NUM
ejpam-7067	287	5	recovers	recover	VERB
ejpam-7067	287	6	the	the	DET
ejpam-7067	287	7	coarse	coarse	NOUN
ejpam-7067	287	8	bound	bind	VERB
ejpam-7067	287	9	ρ	ρ	PROPN
ejpam-7067	287	10	=	=	SYM
ejpam-7067	287	11	(	(	PUNCT
ejpam-7067	287	12	m	m	VERB
ejpam-7067	287	13	−	−	NOUN
ejpam-7067	287	14	1)α	1)α	NUM
ejpam-7067	287	15	.	.	PUNCT
ejpam-7067	288	1	proof	proof	NOUN
ejpam-7067	288	2	.	.	PUNCT
ejpam-7067	289	1	(	(	PUNCT
ejpam-7067	289	2	1	1	X
ejpam-7067	289	3	)	)	PUNCT
ejpam-7067	289	4	exact	exact	ADJ
ejpam-7067	289	5	consensus	consensus	NOUN
ejpam-7067	289	6	.	.	PUNCT
ejpam-7067	290	1	at	at	ADP
ejpam-7067	290	2	t	t	PROPN
ejpam-7067	290	3	=	=	SYM
ejpam-7067	290	4	0,∣∣ε	0,∣∣ε	PUNCT
ejpam-7067	290	5	γ	γ	PROPN
ejpam-7067	290	6	[	[	X
ejpam-7067	290	7	φα(z)lez]e	φα(z)lez]e	PRON
ejpam-7067	290	8	∣∣	∣∣	X
ejpam-7067	290	9	≤	≤	X
ejpam-7067	290	10	ε	ε	PROPN
ejpam-7067	290	11	γ	γ	PROPN
ejpam-7067	290	12	∥φα(z)∥∞	∥φα(z)∥∞	PROPN
ejpam-7067	290	13	∥lez∥∞	∥lez∥∞	PROPN
ejpam-7067	290	14	≤	≤	NUM
ejpam-7067	290	15	ε	ε	PROPN
ejpam-7067	290	16	γ	γ	PROPN
ejpam-7067	290	17	ce	ce	PROPN
ejpam-7067	290	18	δ0	δ0	NOUN
ejpam-7067	290	19	≤	≤	PROPN
ejpam-7067	290	20	ω	ω	NUM
ejpam-7067	290	21	,	,	PUNCT
ejpam-7067	290	22	and	and	CCONJ
ejpam-7067	290	23	the	the	DET
ejpam-7067	290	24	saturated	saturate	VERB
ejpam-7067	290	25	and	and	CCONJ
ejpam-7067	290	26	unsaturated	unsaturated	ADJ
ejpam-7067	290	27	vector	vector	NOUN
ejpam-7067	290	28	fields	field	NOUN
ejpam-7067	290	29	agree	agree	VERB
ejpam-7067	290	30	initially	initially	ADV
ejpam-7067	290	31	.	.	PUNCT
ejpam-7067	291	1	for	for	ADP
ejpam-7067	291	2	the	the	DET
ejpam-7067	291	3	unsaturated	unsaturated	ADJ
ejpam-7067	291	4	flow	flow	NOUN
ejpam-7067	291	5	ż	ż	NOUN
ejpam-7067	291	6	=	=	PUNCT
ejpam-7067	291	7	−εγ	−εγ	PROPN
ejpam-7067	291	8	d−1	d−1	PROPN
ejpam-7067	291	9	s	s	PROPN
ejpam-7067	291	10	φα(z)lez	φα(z)lez	PROPN
ejpam-7067	291	11	,	,	PUNCT
ejpam-7067	291	12	the	the	DET
ejpam-7067	291	13	operator	operator	NOUN
ejpam-7067	291	14	is	be	AUX
ejpam-7067	291	15	metzler	metzler	NOUN
ejpam-7067	291	16	with	with	ADP
ejpam-7067	291	17	zero	zero	NUM
ejpam-7067	291	18	row	row	NOUN
ejpam-7067	291	19	sum	sum	NOUN
ejpam-7067	291	20	on	on	ADP
ejpam-7067	291	21	the	the	DET
ejpam-7067	291	22	active	active	ADJ
ejpam-7067	291	23	subgraph	subgraph	NOUN
ejpam-7067	291	24	,	,	PUNCT
ejpam-7067	291	25	hence	hence	ADV
ejpam-7067	291	26	cooperative	cooperative	ADJ
ejpam-7067	291	27	.	.	PUNCT
ejpam-7067	292	1	the	the	DET
ejpam-7067	292	2	extremal	extremal	ADJ
ejpam-7067	292	3	spread	spread	VERB
ejpam-7067	292	4	d(t	d(t	PROPN
ejpam-7067	292	5	)	)	PUNCT
ejpam-7067	292	6	:	:	PUNCT
ejpam-7067	293	1	=	=	PUNCT
ejpam-7067	293	2	max	max	PROPN
ejpam-7067	294	1	k	k	PROPN
ejpam-7067	294	2	zk(t)−min	zk(t)−min	PROPN
ejpam-7067	294	3	k	k	X
ejpam-7067	294	4	zk(t	zk(t	NOUN
ejpam-7067	294	5	)	)	PUNCT
ejpam-7067	294	6	has	have	VERB
ejpam-7067	294	7	upper	upper	ADJ
ejpam-7067	294	8	right	right	NOUN
ejpam-7067	294	9	dini	dini	NOUN
ejpam-7067	294	10	derivative	derivative	ADJ
ejpam-7067	294	11	d+d(t	d+d(t	NOUN
ejpam-7067	294	12	)	)	PUNCT
ejpam-7067	294	13	≤	≤	NUM
ejpam-7067	294	14	0	0	NUM
ejpam-7067	294	15	,	,	PUNCT
ejpam-7067	294	16	implying	imply	VERB
ejpam-7067	294	17	d(t	d(t	NOUN
ejpam-7067	294	18	)	)	PUNCT
ejpam-7067	294	19	≤	≤	NUM
ejpam-7067	294	20	δ0	δ0	NOUN
ejpam-7067	294	21	for	for	ADP
ejpam-7067	294	22	all	all	DET
ejpam-7067	294	23	t	t	PROPN
ejpam-7067	294	24	≥	≥	NOUN
ejpam-7067	294	25	0	0	NUM
ejpam-7067	294	26	.	.	PUNCT
ejpam-7067	295	1	consequently	consequently	ADV
ejpam-7067	295	2	,	,	PUNCT
ejpam-7067	295	3	|ε	|ε	ADJ
ejpam-7067	295	4	γ[φαlez]e|	γ[φαlez]e|	PROPN
ejpam-7067	295	5	≤	≤	PROPN
ejpam-7067	295	6	εγced(t	εγced(t	PROPN
ejpam-7067	295	7	)	)	PUNCT
ejpam-7067	295	8	≤	≤	NUM
ejpam-7067	295	9	ω	ω	NOUN
ejpam-7067	295	10	for	for	ADP
ejpam-7067	295	11	all	all	DET
ejpam-7067	295	12	time	time	NOUN
ejpam-7067	295	13	,	,	PUNCT
ejpam-7067	295	14	precluding	preclude	VERB
ejpam-7067	295	15	activation	activation	NOUN
ejpam-7067	295	16	of	of	ADP
ejpam-7067	295	17	the	the	DET
ejpam-7067	295	18	saturation	saturation	NOUN
ejpam-7067	295	19	.	.	PUNCT
ejpam-7067	296	1	the	the	DET
ejpam-7067	296	2	trajectory	trajectory	NOUN
ejpam-7067	296	3	is	be	AUX
ejpam-7067	296	4	therefore	therefore	ADV
ejpam-7067	296	5	identical	identical	ADJ
ejpam-7067	296	6	to	to	ADP
ejpam-7067	296	7	the	the	DET
ejpam-7067	296	8	unsaturated	unsaturated	ADJ
ejpam-7067	296	9	dynamics	dynamic	NOUN
ejpam-7067	296	10	,	,	PUNCT
ejpam-7067	296	11	and	and	CCONJ
ejpam-7067	296	12	theorem	theorem	VERB
ejpam-7067	296	13	1	1	NUM
ejpam-7067	296	14	yields	yield	NOUN
ejpam-7067	296	15	z(t	z(t	NOUN
ejpam-7067	296	16	)	)	PUNCT
ejpam-7067	296	17	→	→	SYM
ejpam-7067	296	18	λ1	λ1	PROPN
ejpam-7067	296	19	m	m	NOUN
ejpam-7067	296	20	.	.	PUNCT
ejpam-7067	297	1	(	(	PUNCT
ejpam-7067	297	2	2	2	X
ejpam-7067	297	3	)	)	PUNCT
ejpam-7067	297	4	bounded	bound	VERB
ejpam-7067	297	5	quasi	quasi	NOUN
ejpam-7067	297	6	-	-	NOUN
ejpam-7067	297	7	consensus	consensus	NOUN
ejpam-7067	297	8	.	.	PUNCT
ejpam-7067	298	1	set	set	VERB
ejpam-7067	298	2	∆(t	∆(t	NOUN
ejpam-7067	298	3	)	)	PUNCT
ejpam-7067	298	4	:	:	PUNCT
ejpam-7067	299	1	=	=	SYM
ejpam-7067	299	2	maxk,ℓ	maxk,ℓ	NUM
ejpam-7067	299	3	|zk(t	|zk(t	NOUN
ejpam-7067	299	4	)	)	PUNCT
ejpam-7067	299	5	−	−	NOUN
ejpam-7067	300	1	zℓ(t)|	zℓ(t)|	PUNCT
ejpam-7067	300	2	.	.	PUNCT
ejpam-7067	301	1	the	the	DET
ejpam-7067	301	2	inducednorm	inducednorm	ADJ
ejpam-7067	301	3	/	/	SYM
ejpam-7067	301	4	degree	degree	NOUN
ejpam-7067	301	5	bound	bind	VERB
ejpam-7067	301	6	∥lez∥∞	∥lez∥∞	PUNCT
ejpam-7067	301	7	≤	≤	NUM
ejpam-7067	301	8	cq	cq	NOUN
ejpam-7067	301	9	∆(t	∆(t	PROPN
ejpam-7067	301	10	)	)	PUNCT
ejpam-7067	301	11	(	(	PUNCT
ejpam-7067	301	12	27	27	NUM
ejpam-7067	301	13	)	)	PUNCT
ejpam-7067	301	14	holds	hold	VERB
ejpam-7067	301	15	for	for	ADP
ejpam-7067	301	16	all	all	DET
ejpam-7067	301	17	z.	z.	PROPN
ejpam-7067	301	18	forward	forward	ADJ
ejpam-7067	301	19	invariance	invariance	NOUN
ejpam-7067	301	20	of	of	ADP
ejpam-7067	301	21	bρ	bρ	PROPN
ejpam-7067	301	22	is	be	AUX
ejpam-7067	301	23	established	establish	VERB
ejpam-7067	301	24	as	as	SCONJ
ejpam-7067	301	25	follows	follow	VERB
ejpam-7067	301	26	.	.	PUNCT
ejpam-7067	302	1	suppose	suppose	VERB
ejpam-7067	302	2	∆(t	∆(t	NOUN
ejpam-7067	302	3	)	)	PUNCT
ejpam-7067	302	4	>	>	X
ejpam-7067	303	1	ρ	ρ	PROPN
ejpam-7067	303	2	=	=	PUNCT
ejpam-7067	303	3	cqα	cqα	NOUN
ejpam-7067	303	4	at	at	ADP
ejpam-7067	303	5	some	some	DET
ejpam-7067	303	6	t.	t.	NOUN
ejpam-7067	303	7	if	if	SCONJ
ejpam-7067	303	8	no	no	DET
ejpam-7067	303	9	edge	edge	NOUN
ejpam-7067	303	10	were	be	AUX
ejpam-7067	303	11	active	active	ADJ
ejpam-7067	303	12	,	,	PUNCT
ejpam-7067	303	13	then	then	ADV
ejpam-7067	303	14	∥lez∥∞	∥lez∥∞	VERB
ejpam-7067	303	15	≤	≤	NUM
ejpam-7067	303	16	α	α	NOUN
ejpam-7067	303	17	,	,	PUNCT
ejpam-7067	303	18	which	which	PRON
ejpam-7067	303	19	together	together	ADV
ejpam-7067	303	20	with	with	ADP
ejpam-7067	303	21	(	(	PUNCT
ejpam-7067	303	22	27	27	NUM
ejpam-7067	303	23	)	)	PUNCT
ejpam-7067	303	24	would	would	AUX
ejpam-7067	303	25	imply	imply	VERB
ejpam-7067	303	26	∆(t	∆(t	NOUN
ejpam-7067	303	27	)	)	PUNCT
ejpam-7067	303	28	≤	≤	NUM
ejpam-7067	303	29	cqα	cqα	NOUN
ejpam-7067	303	30	=	=	SYM
ejpam-7067	303	31	ρ	ρ	PROPN
ejpam-7067	303	32	,	,	PUNCT
ejpam-7067	303	33	a	a	DET
ejpam-7067	303	34	contradiction	contradiction	NOUN
ejpam-7067	303	35	.	.	PUNCT
ejpam-7067	304	1	hence	hence	ADV
ejpam-7067	304	2	an	an	DET
ejpam-7067	304	3	active	active	ADJ
ejpam-7067	304	4	edge	edge	NOUN
ejpam-7067	304	5	e	e	NOUN
ejpam-7067	304	6	exists	exist	VERB
ejpam-7067	304	7	with	with	ADP
ejpam-7067	304	8	|[lez]e|	|[lez]e|	PROPN
ejpam-7067	304	9	>	>	X
ejpam-7067	304	10	α	α	X
ejpam-7067	304	11	.	.	PUNCT
ejpam-7067	305	1	on	on	ADP
ejpam-7067	305	2	active	active	ADJ
ejpam-7067	305	3	edges	edge	NOUN
ejpam-7067	305	4	,	,	PUNCT
ejpam-7067	305	5	the	the	DET
ejpam-7067	305	6	component	component	NOUN
ejpam-7067	305	7	−εγ[φαlez]e	−εγ[φαlez]e	PROPN
ejpam-7067	305	8	opposes	oppose	VERB
ejpam-7067	305	9	the	the	DET
ejpam-7067	305	10	local	local	ADJ
ejpam-7067	305	11	disagreement	disagreement	NOUN
ejpam-7067	305	12	,	,	PUNCT
ejpam-7067	305	13	and	and	CCONJ
ejpam-7067	305	14	by	by	ADP
ejpam-7067	305	15	metzlerness	metzlerness	NOUN
ejpam-7067	305	16	and	and	CCONJ
ejpam-7067	305	17	zero	zero	NUM
ejpam-7067	305	18	row	row	NOUN
ejpam-7067	305	19	sum	sum	NOUN
ejpam-7067	305	20	the	the	DET
ejpam-7067	305	21	cooperative	cooperative	ADJ
ejpam-7067	305	22	comparison	comparison	NOUN
ejpam-7067	305	23	argument	argument	NOUN
ejpam-7067	305	24	gives	give	VERB
ejpam-7067	305	25	d+∆(t	d+∆(t	NOUN
ejpam-7067	305	26	)	)	PUNCT
ejpam-7067	305	27	<	<	X
ejpam-7067	305	28	0	0	PUNCT
ejpam-7067	305	29	while	while	SCONJ
ejpam-7067	305	30	∆(t	∆(t	NOUN
ejpam-7067	305	31	)	)	PUNCT
ejpam-7067	305	32	>	>	X
ejpam-7067	306	1	ρ	ρ	PROPN
ejpam-7067	306	2	.	.	PUNCT
ejpam-7067	307	1	when	when	SCONJ
ejpam-7067	307	2	∆(t	∆(t	NOUN
ejpam-7067	307	3	)	)	PUNCT
ejpam-7067	307	4	reaches	reach	VERB
ejpam-7067	307	5	ρ	ρ	PROPN
ejpam-7067	307	6	=	=	SYM
ejpam-7067	307	7	cqα	cqα	NOUN
ejpam-7067	307	8	,	,	PUNCT
ejpam-7067	307	9	all	all	DET
ejpam-7067	307	10	local	local	ADJ
ejpam-7067	307	11	disagreements	disagreement	NOUN
ejpam-7067	307	12	satisfy	satisfy	VERB
ejpam-7067	307	13	|[lez]e|	|[lez]e|	PROPN
ejpam-7067	307	14	≤	≤	NUM
ejpam-7067	307	15	α	α	NOUN
ejpam-7067	307	16	,	,	PUNCT
ejpam-7067	307	17	so	so	ADV
ejpam-7067	307	18	φα(z	φα(z	NOUN
ejpam-7067	307	19	)	)	PUNCT
ejpam-7067	307	20	≡	≡	PROPN
ejpam-7067	307	21	0	0	PUNCT
ejpam-7067	308	1	under	under	ADP
ejpam-7067	308	2	the	the	DET
ejpam-7067	308	3	hysteresis	hysteresis	NOUN
ejpam-7067	308	4	“	"	PUNCT
ejpam-7067	308	5	off	off	ADJ
ejpam-7067	308	6	”	"	PUNCT
ejpam-7067	308	7	state	state	NOUN
ejpam-7067	308	8	and	and	CCONJ
ejpam-7067	308	9	the	the	DET
ejpam-7067	308	10	right	right	ADJ
ejpam-7067	308	11	-	-	PUNCT
ejpam-7067	308	12	hand	hand	NOUN
ejpam-7067	308	13	side	side	NOUN
ejpam-7067	308	14	vanishes	vanish	VERB
ejpam-7067	308	15	;	;	PUNCT
ejpam-7067	308	16	consequently	consequently	ADV
ejpam-7067	308	17	∆(t	∆(t	X
ejpam-7067	308	18	)	)	PUNCT
ejpam-7067	308	19	can	can	AUX
ejpam-7067	308	20	not	not	PART
ejpam-7067	308	21	increase	increase	VERB
ejpam-7067	308	22	.	.	PUNCT
ejpam-7067	309	1	the	the	DET
ejpam-7067	309	2	band	band	NOUN
ejpam-7067	309	3	bρ	bρ	VERB
ejpam-7067	309	4	is	be	AUX
ejpam-7067	309	5	therefore	therefore	ADV
ejpam-7067	309	6	forward	forward	ADV
ejpam-7067	309	7	invariant	invariant	ADJ
ejpam-7067	309	8	,	,	PUNCT
ejpam-7067	309	9	and	and	CCONJ
ejpam-7067	309	10	every	every	DET
ejpam-7067	309	11	trajectory	trajectory	NOUN
ejpam-7067	309	12	eventually	eventually	ADV
ejpam-7067	309	13	enters	enter	VERB
ejpam-7067	309	14	and	and	CCONJ
ejpam-7067	309	15	remains	remain	VERB
ejpam-7067	309	16	in	in	ADP
ejpam-7067	309	17	bρ	bρ	PROPN
ejpam-7067	309	18	.	.	PUNCT
ejpam-7067	309	19	remark	remark	PROPN
ejpam-7067	309	20	3	3	NUM
ejpam-7067	309	21	(	(	PUNCT
ejpam-7067	309	22	tuning	tuning	NOUN
ejpam-7067	309	23	and	and	CCONJ
ejpam-7067	309	24	trade	trade	NOUN
ejpam-7067	309	25	-	-	PUNCT
ejpam-7067	309	26	offs	off	NOUN
ejpam-7067	309	27	)	)	PUNCT
ejpam-7067	309	28	.	.	PUNCT
ejpam-7067	310	1	inequality	inequality	NOUN
ejpam-7067	310	2	(	(	PUNCT
ejpam-7067	310	3	25	25	NUM
ejpam-7067	310	4	)	)	PUNCT
ejpam-7067	310	5	yields	yield	VERB
ejpam-7067	310	6	a	a	DET
ejpam-7067	310	7	practical	practical	ADJ
ejpam-7067	310	8	rule	rule	NOUN
ejpam-7067	310	9	for	for	ADP
ejpam-7067	310	10	selecting	select	VERB
ejpam-7067	310	11	ε	ε	PROPN
ejpam-7067	310	12	:	:	PUNCT
ejpam-7067	310	13	smaller	small	ADJ
ejpam-7067	310	14	ε	ε	PROPN
ejpam-7067	310	15	enlarges	enlarge	VERB
ejpam-7067	310	16	the	the	DET
ejpam-7067	310	17	certified	certify	VERB
ejpam-7067	310	18	unsaturated	unsaturated	ADJ
ejpam-7067	310	19	domain	domain	NOUN
ejpam-7067	310	20	but	but	CCONJ
ejpam-7067	310	21	scales	scale	VERB
ejpam-7067	310	22	the	the	DET
ejpam-7067	310	23	exponential	exponential	ADJ
ejpam-7067	310	24	rate	rate	NOUN
ejpam-7067	310	25	in	in	ADP
ejpam-7067	310	26	(	(	PUNCT
ejpam-7067	310	27	19	19	NUM
ejpam-7067	310	28	)	)	PUNCT
ejpam-7067	310	29	by	by	ADP
ejpam-7067	310	30	ε	ε	PROPN
ejpam-7067	310	31	.	.	PUNCT
ejpam-7067	311	1	the	the	DET
ejpam-7067	311	2	quasi	quasi	ADJ
ejpam-7067	311	3	-	-	ADJ
ejpam-7067	311	4	radius	radius	ADJ
ejpam-7067	311	5	ρ	ρ	NOUN
ejpam-7067	311	6	=	=	PUNCT
ejpam-7067	311	7	cqα	cqα	NOUN
ejpam-7067	311	8	exposes	expose	VERB
ejpam-7067	311	9	the	the	DET
ejpam-7067	311	10	accuracy	accuracy	NOUN
ejpam-7067	311	11	–	–	PUNCT
ejpam-7067	311	12	activation	activation	NOUN
ejpam-7067	311	13	–	–	PUNCT
ejpam-7067	311	14	energy	energy	NOUN
ejpam-7067	311	15	trade	trade	NOUN
ejpam-7067	311	16	-	-	PUNCT
ejpam-7067	311	17	off	off	NOUN
ejpam-7067	311	18	:	:	PUNCT
ejpam-7067	311	19	larger	large	ADJ
ejpam-7067	311	20	α	α	NOUN
ejpam-7067	311	21	reduces	reduce	VERB
ejpam-7067	311	22	activations	activation	NOUN
ejpam-7067	311	23	and	and	CCONJ
ejpam-7067	311	24	input	input	NOUN
ejpam-7067	311	25	usage	usage	NOUN
ejpam-7067	311	26	but	but	CCONJ
ejpam-7067	311	27	increases	increase	VERB
ejpam-7067	311	28	the	the	DET
ejpam-7067	311	29	steady	steady	ADJ
ejpam-7067	311	30	band	band	NOUN
ejpam-7067	311	31	;	;	PUNCT
ejpam-7067	311	32	smaller	small	ADJ
ejpam-7067	311	33	α	α	NOUN
ejpam-7067	311	34	does	do	VERB
ejpam-7067	311	35	the	the	DET
ejpam-7067	311	36	opposite	opposite	NOUN
ejpam-7067	311	37	.	.	PUNCT
ejpam-7067	312	1	m.	m.	NOUN
ejpam-7067	312	2	donganont	donganont	PROPN
ejpam-7067	312	3	et	et	PROPN
ejpam-7067	312	4	al	al	PROPN
ejpam-7067	312	5	.	.	PUNCT
ejpam-7067	312	6	/	/	SYM
ejpam-7067	312	7	eur	eur	PROPN
ejpam-7067	312	8	.	.	PUNCT
ejpam-7067	313	1	j.	j.	PROPN
ejpam-7067	313	2	pure	pure	PROPN
ejpam-7067	313	3	appl	appl	PROPN
ejpam-7067	313	4	.	.	PROPN
ejpam-7067	313	5	math	math	PROPN
ejpam-7067	313	6	,	,	PUNCT
ejpam-7067	313	7	18	18	NUM
ejpam-7067	313	8	(	(	PUNCT
ejpam-7067	313	9	4	4	NUM
ejpam-7067	313	10	)	)	PUNCT
ejpam-7067	313	11	(	(	PUNCT
ejpam-7067	313	12	2025	2025	NUM
ejpam-7067	313	13	)	)	PUNCT
ejpam-7067	313	14	,	,	PUNCT
ejpam-7067	313	15	7067	7067	NUM
ejpam-7067	313	16	15	15	NUM
ejpam-7067	313	17	of	of	ADP
ejpam-7067	313	18	22	22	NUM
ejpam-7067	313	19	special	special	ADJ
ejpam-7067	313	20	cases	case	NOUN
ejpam-7067	313	21	and	and	CCONJ
ejpam-7067	313	22	limiting	limit	VERB
ejpam-7067	313	23	behavior	behavior	NOUN
ejpam-7067	313	24	the	the	DET
ejpam-7067	313	25	following	follow	VERB
ejpam-7067	313	26	corollaries	corollary	NOUN
ejpam-7067	313	27	describe	describe	VERB
ejpam-7067	313	28	simplified	simplified	ADJ
ejpam-7067	313	29	regimes	regime	NOUN
ejpam-7067	313	30	that	that	PRON
ejpam-7067	313	31	commonly	commonly	ADV
ejpam-7067	313	32	arise	arise	VERB
ejpam-7067	313	33	in	in	ADP
ejpam-7067	313	34	practice	practice	NOUN
ejpam-7067	313	35	and	and	CCONJ
ejpam-7067	313	36	provide	provide	VERB
ejpam-7067	313	37	direct	direct	ADJ
ejpam-7067	313	38	insight	insight	NOUN
ejpam-7067	313	39	into	into	ADP
ejpam-7067	313	40	the	the	DET
ejpam-7067	313	41	behavior	behavior	NOUN
ejpam-7067	313	42	of	of	ADP
ejpam-7067	313	43	the	the	DET
ejpam-7067	313	44	protocol	protocol	NOUN
ejpam-7067	313	45	under	under	ADP
ejpam-7067	313	46	specific	specific	ADJ
ejpam-7067	313	47	parameter	parameter	NOUN
ejpam-7067	313	48	configurations	configuration	NOUN
ejpam-7067	313	49	.	.	PUNCT
ejpam-7067	314	1	corollary	corollary	ADJ
ejpam-7067	314	2	2	2	NUM
ejpam-7067	314	3	(	(	PUNCT
ejpam-7067	314	4	fully	fully	ADV
ejpam-7067	314	5	active	active	ADJ
ejpam-7067	314	6	threshold	threshold	NOUN
ejpam-7067	314	7	:	:	PUNCT
ejpam-7067	314	8	α	α	X
ejpam-7067	314	9	=	=	NOUN
ejpam-7067	314	10	0	0	NUM
ejpam-7067	314	11	)	)	PUNCT
ejpam-7067	314	12	.	.	PUNCT
ejpam-7067	315	1	suppose	suppose	VERB
ejpam-7067	315	2	the	the	DET
ejpam-7067	315	3	activation	activation	NOUN
ejpam-7067	315	4	threshold	threshold	NOUN
ejpam-7067	315	5	is	be	AUX
ejpam-7067	315	6	zero	zero	NUM
ejpam-7067	315	7	,	,	PUNCT
ejpam-7067	315	8	i.e.	i.e.	X
ejpam-7067	315	9	,	,	PUNCT
ejpam-7067	315	10	α	α	NOUN
ejpam-7067	315	11	=	=	SYM
ejpam-7067	315	12	0	0	PROPN
ejpam-7067	315	13	.	.	PUNCT
ejpam-7067	316	1	then	then	ADV
ejpam-7067	316	2	,	,	PUNCT
ejpam-7067	316	3	the	the	DET
ejpam-7067	316	4	activation	activation	NOUN
ejpam-7067	316	5	operator	operator	NOUN
ejpam-7067	316	6	satisfies	satisfie	NOUN
ejpam-7067	316	7	φα	φα	ADP
ejpam-7067	316	8	≡	≡	PROPN
ejpam-7067	316	9	i	i	PROPN
ejpam-7067	316	10	,	,	PUNCT
ejpam-7067	316	11	and	and	CCONJ
ejpam-7067	316	12	the	the	DET
ejpam-7067	316	13	low	low	ADJ
ejpam-7067	316	14	-	-	PUNCT
ejpam-7067	316	15	gain	gain	NOUN
ejpam-7067	316	16	control	control	NOUN
ejpam-7067	316	17	law	law	NOUN
ejpam-7067	316	18	reduces	reduce	VERB
ejpam-7067	316	19	to	to	ADP
ejpam-7067	316	20	a	a	DET
ejpam-7067	316	21	linear	linear	ADJ
ejpam-7067	316	22	time	time	NOUN
ejpam-7067	316	23	-	-	PUNCT
ejpam-7067	316	24	invariant	invariant	ADJ
ejpam-7067	316	25	system	system	NOUN
ejpam-7067	316	26	:	:	PUNCT
ejpam-7067	316	27	ż(t	ż(t	X
ejpam-7067	316	28	)	)	PUNCT
ejpam-7067	316	29	=	=	SYM
ejpam-7067	316	30	−	−	PROPN
ejpam-7067	316	31	ε	ε	PROPN
ejpam-7067	316	32	γ	γ	PROPN
ejpam-7067	316	33	d−1	d−1	PROPN
ejpam-7067	316	34	s	s	PART
ejpam-7067	316	35	le	le	X
ejpam-7067	316	36	z(t	z(t	NOUN
ejpam-7067	316	37	)	)	PUNCT
ejpam-7067	316	38	.	.	PUNCT
ejpam-7067	317	1	in	in	ADP
ejpam-7067	317	2	this	this	DET
ejpam-7067	317	3	case	case	NOUN
ejpam-7067	317	4	,	,	PUNCT
ejpam-7067	317	5	exponential	exponential	ADJ
ejpam-7067	317	6	convergence	convergence	NOUN
ejpam-7067	317	7	is	be	AUX
ejpam-7067	317	8	guaranteed	guarantee	VERB
ejpam-7067	317	9	with	with	ADP
ejpam-7067	317	10	a	a	DET
ejpam-7067	317	11	rate	rate	NOUN
ejpam-7067	317	12	no	no	ADV
ejpam-7067	317	13	less	less	ADJ
ejpam-7067	317	14	than	than	ADP
ejpam-7067	317	15	εγc	εγc	NOUN
ejpam-7067	317	16	,	,	PUNCT
ejpam-7067	317	17	as	as	SCONJ
ejpam-7067	317	18	defined	define	VERB
ejpam-7067	317	19	in	in	ADP
ejpam-7067	317	20	(	(	PUNCT
ejpam-7067	317	21	19	19	NUM
ejpam-7067	317	22	)	)	PUNCT
ejpam-7067	317	23	.	.	PUNCT
ejpam-7067	318	1	the	the	DET
ejpam-7067	318	2	limiting	limit	VERB
ejpam-7067	318	3	consensus	consensus	NOUN
ejpam-7067	318	4	value	value	NOUN
ejpam-7067	318	5	λ	λ	X
ejpam-7067	318	6	∈	∈	NOUN
ejpam-7067	318	7	r	r	NOUN
ejpam-7067	318	8	corresponds	correspond	VERB
ejpam-7067	318	9	to	to	ADP
ejpam-7067	318	10	the	the	DET
ejpam-7067	318	11	weighted	weighted	ADJ
ejpam-7067	318	12	average	average	NOUN
ejpam-7067	318	13	determined	determine	VERB
ejpam-7067	318	14	by	by	ADP
ejpam-7067	318	15	the	the	DET
ejpam-7067	318	16	left	left	ADJ
ejpam-7067	318	17	eigenvector	eigenvector	NOUN
ejpam-7067	318	18	of	of	ADP
ejpam-7067	318	19	le	le	PROPN
ejpam-7067	318	20	;	;	PUNCT
ejpam-7067	318	21	see	see	VERB
ejpam-7067	318	22	remark	remark	NOUN
ejpam-7067	318	23	1	1	NUM
ejpam-7067	318	24	.	.	PUNCT
ejpam-7067	318	25	corollary	corollary	ADJ
ejpam-7067	318	26	3	3	NUM
ejpam-7067	318	27	(	(	PUNCT
ejpam-7067	318	28	uniform	uniform	ADJ
ejpam-7067	318	29	scaling	scaling	NOUN
ejpam-7067	318	30	and	and	CCONJ
ejpam-7067	318	31	symmetric	symmetric	ADJ
ejpam-7067	318	32	edge	edge	NOUN
ejpam-7067	318	33	weights	weight	NOUN
ejpam-7067	318	34	)	)	PUNCT
ejpam-7067	318	35	.	.	PUNCT
ejpam-7067	319	1	assume	assume	VERB
ejpam-7067	319	2	the	the	DET
ejpam-7067	319	3	scaling	scale	VERB
ejpam-7067	319	4	matrix	matrix	NOUN
ejpam-7067	319	5	is	be	AUX
ejpam-7067	319	6	identity	identity	NOUN
ejpam-7067	319	7	,	,	PUNCT
ejpam-7067	319	8	ds	ds	NOUN
ejpam-7067	319	9	=	=	PUNCT
ejpam-7067	319	10	i	i	NOUN
ejpam-7067	319	11	m	m	VERB
ejpam-7067	319	12	,	,	PUNCT
ejpam-7067	319	13	and	and	CCONJ
ejpam-7067	319	14	the	the	DET
ejpam-7067	319	15	induced	induced	ADJ
ejpam-7067	319	16	edge	edge	NOUN
ejpam-7067	319	17	weights	weight	NOUN
ejpam-7067	319	18	on	on	ADP
ejpam-7067	319	19	the	the	DET
ejpam-7067	319	20	line	line	NOUN
ejpam-7067	319	21	digraph	digraph	NOUN
ejpam-7067	319	22	l(g	l(g	NOUN
ejpam-7067	319	23	)	)	PUNCT
ejpam-7067	319	24	are	be	AUX
ejpam-7067	319	25	symmetric	symmetric	ADJ
ejpam-7067	319	26	.	.	PUNCT
ejpam-7067	320	1	under	under	ADP
ejpam-7067	320	2	these	these	DET
ejpam-7067	320	3	conditions	condition	NOUN
ejpam-7067	320	4	,	,	PUNCT
ejpam-7067	320	5	the	the	DET
ejpam-7067	320	6	convergence	convergence	NOUN
ejpam-7067	320	7	rate	rate	NOUN
ejpam-7067	320	8	constant	constant	ADJ
ejpam-7067	320	9	c	c	NOUN
ejpam-7067	320	10	in	in	ADP
ejpam-7067	320	11	(	(	PUNCT
ejpam-7067	320	12	19	19	NUM
ejpam-7067	320	13	)	)	PUNCT
ejpam-7067	320	14	can	can	AUX
ejpam-7067	320	15	be	be	AUX
ejpam-7067	320	16	selected	select	VERB
ejpam-7067	320	17	as	as	ADP
ejpam-7067	320	18	the	the	DET
ejpam-7067	320	19	second	second	ADJ
ejpam-7067	320	20	smallest	small	ADJ
ejpam-7067	320	21	eigenvalue	eigenvalue	NOUN
ejpam-7067	320	22	of	of	ADP
ejpam-7067	320	23	the	the	DET
ejpam-7067	320	24	edge	edge	NOUN
ejpam-7067	320	25	laplacian	laplacian	NOUN
ejpam-7067	320	26	,	,	PUNCT
ejpam-7067	320	27	λ2(le	λ2(le	X
ejpam-7067	320	28	)	)	PUNCT
ejpam-7067	320	29	.	.	PUNCT
ejpam-7067	321	1	additionally	additionally	ADV
ejpam-7067	321	2	,	,	PUNCT
ejpam-7067	321	3	the	the	DET
ejpam-7067	321	4	quasi	quasi	ADJ
ejpam-7067	321	5	-	-	ADJ
ejpam-7067	321	6	consensus	consensus	ADJ
ejpam-7067	321	7	radius	radius	NOUN
ejpam-7067	321	8	constant	constant	ADJ
ejpam-7067	321	9	satisfies	satisfie	NOUN
ejpam-7067	321	10	cq	cq	INTJ
ejpam-7067	321	11	≤	≤	PROPN
ejpam-7067	321	12	d	d	NOUN
ejpam-7067	321	13	(	(	PUNCT
ejpam-7067	321	14	l	l	NOUN
ejpam-7067	321	15	)	)	PUNCT
ejpam-7067	321	16	max	max	PROPN
ejpam-7067	321	17	,	,	PUNCT
ejpam-7067	321	18	where	where	SCONJ
ejpam-7067	321	19	d	d	PROPN
ejpam-7067	321	20	(	(	PUNCT
ejpam-7067	321	21	l	l	NOUN
ejpam-7067	321	22	)	)	PUNCT
ejpam-7067	321	23	max	max	PROPN
ejpam-7067	321	24	denotes	denote	VERB
ejpam-7067	321	25	the	the	DET
ejpam-7067	321	26	maximum	maximum	ADJ
ejpam-7067	321	27	in	in	ADP
ejpam-7067	321	28	-	-	PUNCT
ejpam-7067	321	29	degree	degree	NOUN
ejpam-7067	321	30	in	in	ADP
ejpam-7067	321	31	the	the	DET
ejpam-7067	321	32	line	line	NOUN
ejpam-7067	321	33	digraph	digraph	NOUN
ejpam-7067	321	34	.	.	PUNCT
ejpam-7067	322	1	performance	performance	NOUN
ejpam-7067	322	2	indicators	indicator	NOUN
ejpam-7067	322	3	for	for	ADP
ejpam-7067	322	4	validation	validation	NOUN
ejpam-7067	322	5	to	to	PART
ejpam-7067	322	6	support	support	VERB
ejpam-7067	322	7	the	the	DET
ejpam-7067	322	8	theoretical	theoretical	ADJ
ejpam-7067	322	9	findings	finding	NOUN
ejpam-7067	322	10	through	through	ADP
ejpam-7067	322	11	simulation	simulation	NOUN
ejpam-7067	322	12	and	and	CCONJ
ejpam-7067	322	13	quantitative	quantitative	ADJ
ejpam-7067	322	14	analysis	analysis	NOUN
ejpam-7067	322	15	,	,	PUNCT
ejpam-7067	322	16	the	the	DET
ejpam-7067	322	17	following	follow	VERB
ejpam-7067	322	18	performance	performance	NOUN
ejpam-7067	322	19	metrics	metric	NOUN
ejpam-7067	322	20	are	be	AUX
ejpam-7067	322	21	employed	employ	VERB
ejpam-7067	322	22	:	:	PUNCT
ejpam-7067	322	23	•	•	NUM
ejpam-7067	322	24	activation	activation	NOUN
ejpam-7067	322	25	ratio	ratio	NOUN
ejpam-7067	322	26	:	:	PUNCT
ejpam-7067	322	27	the	the	DET
ejpam-7067	322	28	proportion	proportion	NOUN
ejpam-7067	322	29	of	of	ADP
ejpam-7067	322	30	edge	edge	NOUN
ejpam-7067	322	31	-	-	PUNCT
ejpam-7067	322	32	time	time	NOUN
ejpam-7067	322	33	instances	instance	NOUN
ejpam-7067	322	34	for	for	ADP
ejpam-7067	322	35	which	which	PRON
ejpam-7067	322	36	the	the	DET
ejpam-7067	322	37	activation	activation	NOUN
ejpam-7067	322	38	indicator	indicator	NOUN
ejpam-7067	322	39	satisfies	satisfy	VERB
ejpam-7067	322	40	[	[	X
ejpam-7067	322	41	φα]ee	φα]ee	NOUN
ejpam-7067	322	42	=	=	SYM
ejpam-7067	322	43	1	1	NUM
ejpam-7067	322	44	.	.	NOUN
ejpam-7067	322	45	•	•	NUM
ejpam-7067	322	46	control	control	NOUN
ejpam-7067	322	47	usage	usage	NOUN
ejpam-7067	322	48	:	:	PUNCT
ejpam-7067	322	49	the	the	DET
ejpam-7067	322	50	cumulative	cumulative	ADJ
ejpam-7067	322	51	magnitude	magnitude	NOUN
ejpam-7067	322	52	of	of	ADP
ejpam-7067	322	53	control	control	NOUN
ejpam-7067	322	54	effort	effort	NOUN
ejpam-7067	322	55	over	over	ADP
ejpam-7067	322	56	a	a	DET
ejpam-7067	322	57	finite	finite	ADJ
ejpam-7067	322	58	time	time	NOUN
ejpam-7067	322	59	horizon	horizon	PROPN
ejpam-7067	322	60	t	t	PROPN
ejpam-7067	322	61	>	>	X
ejpam-7067	322	62	0	0	PROPN
ejpam-7067	322	63	,	,	PUNCT
ejpam-7067	322	64	computed	compute	VERB
ejpam-7067	322	65	as	as	ADP
ejpam-7067	322	66	∫	∫	PROPN
ejpam-7067	322	67	t	t	PROPN
ejpam-7067	322	68	0	0	NUM
ejpam-7067	322	69	∥u(t)∥1	∥u(t)∥1	PROPN
ejpam-7067	322	70	dt	dt	PROPN
ejpam-7067	322	71	.	.	PUNCT
ejpam-7067	322	72	•	•	NUM
ejpam-7067	322	73	time	time	NOUN
ejpam-7067	322	74	-	-	PUNCT
ejpam-7067	322	75	to	to	ADP
ejpam-7067	322	76	-	-	PUNCT
ejpam-7067	322	77	ε	ε	VERB
ejpam-7067	322	78	-	-	PUNCT
ejpam-7067	322	79	consensus	consensus	NOUN
ejpam-7067	322	80	:	:	PUNCT
ejpam-7067	322	81	the	the	DET
ejpam-7067	322	82	elapsed	elapse	VERB
ejpam-7067	322	83	time	time	NOUN
ejpam-7067	322	84	required	require	VERB
ejpam-7067	322	85	for	for	SCONJ
ejpam-7067	322	86	the	the	DET
ejpam-7067	322	87	system	system	NOUN
ejpam-7067	322	88	to	to	PART
ejpam-7067	322	89	reach	reach	VERB
ejpam-7067	322	90	a	a	DET
ejpam-7067	322	91	specified	specified	ADJ
ejpam-7067	322	92	tolerance	tolerance	NOUN
ejpam-7067	322	93	band	band	NOUN
ejpam-7067	322	94	around	around	ADP
ejpam-7067	322	95	consensus	consensus	NOUN
ejpam-7067	322	96	.	.	PUNCT
ejpam-7067	323	1	•	•	NUM
ejpam-7067	323	2	achieved	achieve	VERB
ejpam-7067	323	3	quasi	quasi	NOUN
ejpam-7067	323	4	-	-	NOUN
ejpam-7067	323	5	radius	radius	NOUN
ejpam-7067	323	6	:	:	PUNCT
ejpam-7067	323	7	the	the	DET
ejpam-7067	323	8	observed	observed	ADJ
ejpam-7067	323	9	value	value	NOUN
ejpam-7067	323	10	of	of	ADP
ejpam-7067	323	11	max	max	PROPN
ejpam-7067	323	12	k,ℓ	k,ℓ	PROPN
ejpam-7067	323	13	|zk(t)−	|zk(t)−	PROPN
ejpam-7067	323	14	zℓ(t)|	zℓ(t)|	VERB
ejpam-7067	323	15	,	,	PUNCT
ejpam-7067	323	16	which	which	PRON
ejpam-7067	323	17	is	be	AUX
ejpam-7067	323	18	compared	compare	VERB
ejpam-7067	323	19	against	against	ADP
ejpam-7067	323	20	the	the	DET
ejpam-7067	323	21	theoretical	theoretical	ADJ
ejpam-7067	323	22	upper	upper	ADJ
ejpam-7067	323	23	bound	bind	VERB
ejpam-7067	323	24	ρ	ρ	PROPN
ejpam-7067	323	25	=	=	NOUN
ejpam-7067	323	26	cqα	cqα	NOUN
ejpam-7067	323	27	.	.	PUNCT
ejpam-7067	324	1	m.	m.	NOUN
ejpam-7067	324	2	donganont	donganont	PROPN
ejpam-7067	324	3	et	et	PROPN
ejpam-7067	324	4	al	al	PROPN
ejpam-7067	324	5	.	.	PUNCT
ejpam-7067	324	6	/	/	SYM
ejpam-7067	324	7	eur	eur	PROPN
ejpam-7067	324	8	.	.	PUNCT
ejpam-7067	325	1	j.	j.	PROPN
ejpam-7067	325	2	pure	pure	PROPN
ejpam-7067	325	3	appl	appl	PROPN
ejpam-7067	325	4	.	.	PROPN
ejpam-7067	325	5	math	math	PROPN
ejpam-7067	325	6	,	,	PUNCT
ejpam-7067	325	7	18	18	NUM
ejpam-7067	325	8	(	(	PUNCT
ejpam-7067	325	9	4	4	NUM
ejpam-7067	325	10	)	)	PUNCT
ejpam-7067	325	11	(	(	PUNCT
ejpam-7067	325	12	2025	2025	NUM
ejpam-7067	325	13	)	)	PUNCT
ejpam-7067	325	14	,	,	PUNCT
ejpam-7067	325	15	7067	7067	NUM
ejpam-7067	325	16	16	16	NUM
ejpam-7067	325	17	of	of	ADP
ejpam-7067	325	18	22	22	NUM
ejpam-7067	325	19	figure	figure	NOUN
ejpam-7067	325	20	1	1	NUM
ejpam-7067	325	21	:	:	PUNCT
ejpam-7067	325	22	directed	direct	VERB
ejpam-7067	325	23	communication	communication	NOUN
ejpam-7067	325	24	graph	graph	NOUN
ejpam-7067	325	25	g	g	NOUN
ejpam-7067	325	26	with	with	ADP
ejpam-7067	325	27	n	n	NOUN
ejpam-7067	325	28	=	=	SYM
ejpam-7067	325	29	10	10	NUM
ejpam-7067	325	30	nodes	node	NOUN
ejpam-7067	325	31	and	and	CCONJ
ejpam-7067	325	32	m	m	NOUN
ejpam-7067	325	33	=	=	SYM
ejpam-7067	325	34	18	18	NUM
ejpam-7067	325	35	directed	direct	VERB
ejpam-7067	325	36	edges	edge	NOUN
ejpam-7067	325	37	.	.	PUNCT
ejpam-7067	326	1	the	the	DET
ejpam-7067	326	2	graph	graph	NOUN
ejpam-7067	326	3	is	be	AUX
ejpam-7067	326	4	strongly	strongly	ADV
ejpam-7067	326	5	connected	connect	VERB
ejpam-7067	326	6	and	and	CCONJ
ejpam-7067	326	7	serves	serve	VERB
ejpam-7067	326	8	as	as	ADP
ejpam-7067	326	9	the	the	DET
ejpam-7067	326	10	base	base	NOUN
ejpam-7067	326	11	topology	topology	NOUN
ejpam-7067	326	12	for	for	ADP
ejpam-7067	326	13	all	all	DET
ejpam-7067	326	14	simulations	simulation	NOUN
ejpam-7067	326	15	.	.	PUNCT
ejpam-7067	327	1	each	each	DET
ejpam-7067	327	2	directed	direct	VERB
ejpam-7067	327	3	edge	edge	NOUN
ejpam-7067	327	4	(	(	PUNCT
ejpam-7067	327	5	i	i	PROPN
ejpam-7067	327	6	,	,	PUNCT
ejpam-7067	327	7	j	j	PROPN
ejpam-7067	327	8	)	)	PUNCT
ejpam-7067	327	9	∈	∈	PROPN
ejpam-7067	327	10	e	e	NOUN
ejpam-7067	327	11	represents	represent	VERB
ejpam-7067	327	12	an	an	DET
ejpam-7067	327	13	edge	edge	NOUN
ejpam-7067	327	14	state	state	NOUN
ejpam-7067	327	15	xij(t	xij(t	PROPN
ejpam-7067	327	16	)	)	PUNCT
ejpam-7067	327	17	within	within	ADP
ejpam-7067	327	18	the	the	DET
ejpam-7067	327	19	scaled	scale	VERB
ejpam-7067	327	20	edge	edge	NOUN
ejpam-7067	327	21	-	-	PUNCT
ejpam-7067	327	22	dynamics	dynamic	NOUN
ejpam-7067	327	23	formulation	formulation	NOUN
ejpam-7067	327	24	.	.	PUNCT
ejpam-7067	328	1	5	5	X
ejpam-7067	328	2	.	.	X
ejpam-7067	328	3	numerical	numerical	ADJ
ejpam-7067	328	4	simulations	simulation	NOUN
ejpam-7067	328	5	this	this	DET
ejpam-7067	328	6	section	section	NOUN
ejpam-7067	328	7	presents	present	VERB
ejpam-7067	328	8	numerical	numerical	ADJ
ejpam-7067	328	9	simulations	simulation	NOUN
ejpam-7067	328	10	that	that	PRON
ejpam-7067	328	11	validate	validate	VERB
ejpam-7067	328	12	the	the	DET
ejpam-7067	328	13	theoretical	theoretical	ADJ
ejpam-7067	328	14	results	result	NOUN
ejpam-7067	328	15	established	establish	VERB
ejpam-7067	328	16	in	in	ADP
ejpam-7067	328	17	section	section	NOUN
ejpam-7067	328	18	4	4	NUM
ejpam-7067	328	19	.	.	PUNCT
ejpam-7067	329	1	all	all	DET
ejpam-7067	329	2	experiments	experiment	NOUN
ejpam-7067	329	3	were	be	AUX
ejpam-7067	329	4	conducted	conduct	VERB
ejpam-7067	329	5	on	on	ADP
ejpam-7067	329	6	a	a	DET
ejpam-7067	329	7	strongly	strongly	ADV
ejpam-7067	329	8	connected	connect	VERB
ejpam-7067	329	9	directed	direct	VERB
ejpam-7067	329	10	graph	graph	NOUN
ejpam-7067	329	11	,	,	PUNCT
ejpam-7067	329	12	following	follow	VERB
ejpam-7067	329	13	the	the	DET
ejpam-7067	329	14	distributed	distribute	VERB
ejpam-7067	329	15	protocol	protocol	NOUN
ejpam-7067	329	16	design	design	NOUN
ejpam-7067	329	17	in	in	ADP
ejpam-7067	329	18	section	section	NOUN
ejpam-7067	329	19	3	3	NUM
ejpam-7067	329	20	.	.	PUNCT
ejpam-7067	329	21	three	three	NUM
ejpam-7067	329	22	representative	representative	ADJ
ejpam-7067	329	23	regimes	regime	NOUN
ejpam-7067	329	24	are	be	AUX
ejpam-7067	329	25	examined	examine	VERB
ejpam-7067	329	26	:	:	PUNCT
ejpam-7067	329	27	(	(	PUNCT
ejpam-7067	329	28	i	i	NOUN
ejpam-7067	329	29	)	)	PUNCT
ejpam-7067	329	30	fully	fully	ADV
ejpam-7067	329	31	active	active	ADJ
ejpam-7067	329	32	unsaturated	unsaturated	ADJ
ejpam-7067	329	33	operation	operation	NOUN
ejpam-7067	329	34	,	,	PUNCT
ejpam-7067	329	35	(	(	PUNCT
ejpam-7067	329	36	ii	ii	NOUN
ejpam-7067	329	37	)	)	PUNCT
ejpam-7067	329	38	saturation	saturation	NOUN
ejpam-7067	329	39	with	with	ADP
ejpam-7067	329	40	safe	safe	ADJ
ejpam-7067	329	41	-	-	PUNCT
ejpam-7067	329	42	dispersion	dispersion	NOUN
ejpam-7067	329	43	initialization	initialization	NOUN
ejpam-7067	329	44	,	,	PUNCT
ejpam-7067	329	45	and	and	CCONJ
ejpam-7067	329	46	(	(	PUNCT
ejpam-7067	329	47	iii	iii	NOUN
ejpam-7067	329	48	)	)	PUNCT
ejpam-7067	329	49	low	low	ADJ
ejpam-7067	329	50	-	-	PUNCT
ejpam-7067	329	51	gain	gain	NOUN
ejpam-7067	329	52	operation	operation	NOUN
ejpam-7067	329	53	beyond	beyond	ADP
ejpam-7067	329	54	the	the	DET
ejpam-7067	329	55	safe	safe	ADJ
ejpam-7067	329	56	domain	domain	NOUN
ejpam-7067	329	57	leading	lead	VERB
ejpam-7067	329	58	to	to	ADP
ejpam-7067	329	59	bounded	bound	VERB
ejpam-7067	329	60	scaled	scale	VERB
ejpam-7067	329	61	quasi	quasi	NOUN
ejpam-7067	329	62	-	-	NOUN
ejpam-7067	329	63	consensus	consensus	NOUN
ejpam-7067	329	64	.	.	PUNCT
ejpam-7067	330	1	the	the	DET
ejpam-7067	330	2	system	system	NOUN
ejpam-7067	330	3	is	be	AUX
ejpam-7067	330	4	integrated	integrate	VERB
ejpam-7067	330	5	using	use	VERB
ejpam-7067	330	6	a	a	DET
ejpam-7067	330	7	fixed	fix	VERB
ejpam-7067	330	8	-	-	PUNCT
ejpam-7067	330	9	step	step	NOUN
ejpam-7067	330	10	fourth	fourth	ADJ
ejpam-7067	330	11	-	-	PUNCT
ejpam-7067	330	12	order	order	NOUN
ejpam-7067	330	13	runge	runge	NOUN
ejpam-7067	330	14	–	–	PUNCT
ejpam-7067	330	15	kutta	kutta	NOUN
ejpam-7067	330	16	(	(	PUNCT
ejpam-7067	330	17	rk4	rk4	NOUN
ejpam-7067	330	18	)	)	PUNCT
ejpam-7067	330	19	method	method	NOUN
ejpam-7067	330	20	,	,	PUNCT
ejpam-7067	330	21	and	and	CCONJ
ejpam-7067	330	22	quantitative	quantitative	ADJ
ejpam-7067	330	23	indicators	indicator	NOUN
ejpam-7067	330	24	include	include	VERB
ejpam-7067	330	25	the	the	DET
ejpam-7067	330	26	activation	activation	NOUN
ejpam-7067	330	27	ratio	ratio	NOUN
ejpam-7067	330	28	,	,	PUNCT
ejpam-7067	330	29	total	total	ADJ
ejpam-7067	330	30	control	control	NOUN
ejpam-7067	330	31	usage	usage	NOUN
ejpam-7067	330	32	,	,	PUNCT
ejpam-7067	330	33	and	and	CCONJ
ejpam-7067	330	34	steady	steady	ADJ
ejpam-7067	330	35	-	-	PUNCT
ejpam-7067	330	36	state	state	NOUN
ejpam-7067	330	37	dispersion	dispersion	NOUN
ejpam-7067	330	38	.	.	PUNCT
ejpam-7067	331	1	network	network	NOUN
ejpam-7067	331	2	and	and	CCONJ
ejpam-7067	331	3	parameter	parameter	NOUN
ejpam-7067	331	4	configuration	configuration	NOUN
ejpam-7067	331	5	the	the	DET
ejpam-7067	331	6	communication	communication	NOUN
ejpam-7067	331	7	topology	topology	NOUN
ejpam-7067	331	8	is	be	AUX
ejpam-7067	331	9	modeled	model	VERB
ejpam-7067	331	10	as	as	ADP
ejpam-7067	331	11	a	a	DET
ejpam-7067	331	12	strongly	strongly	ADV
ejpam-7067	331	13	connected	connect	VERB
ejpam-7067	331	14	directed	direct	VERB
ejpam-7067	331	15	graph	graph	NOUN
ejpam-7067	331	16	g	g	PROPN
ejpam-7067	331	17	=	=	SYM
ejpam-7067	331	18	(	(	PUNCT
ejpam-7067	331	19	v	v	NOUN
ejpam-7067	331	20	,	,	PUNCT
ejpam-7067	331	21	e	e	NOUN
ejpam-7067	331	22	)	)	PUNCT
ejpam-7067	331	23	with	with	ADP
ejpam-7067	331	24	n	n	NOUN
ejpam-7067	331	25	=	=	SYM
ejpam-7067	331	26	10	10	NUM
ejpam-7067	331	27	nodes	node	NOUN
ejpam-7067	331	28	and	and	CCONJ
ejpam-7067	331	29	m	m	NOUN
ejpam-7067	331	30	=	=	SYM
ejpam-7067	331	31	18	18	NUM
ejpam-7067	331	32	directed	direct	VERB
ejpam-7067	331	33	edges	edge	NOUN
ejpam-7067	331	34	,	,	PUNCT
ejpam-7067	331	35	shown	show	VERB
ejpam-7067	331	36	in	in	ADP
ejpam-7067	331	37	fig	fig	NOUN
ejpam-7067	331	38	.	.	PUNCT
ejpam-7067	332	1	1	1	X
ejpam-7067	332	2	.	.	X
ejpam-7067	332	3	the	the	DET
ejpam-7067	332	4	corresponding	corresponding	ADJ
ejpam-7067	332	5	line	line	NOUN
ejpam-7067	332	6	digraph	digraph	ADJ
ejpam-7067	332	7	l(g	l(g	NOUN
ejpam-7067	332	8	)	)	PUNCT
ejpam-7067	332	9	defines	define	VERB
ejpam-7067	332	10	the	the	DET
ejpam-7067	332	11	inter	inter	ADJ
ejpam-7067	332	12	-	-	ADJ
ejpam-7067	332	13	edge	edge	ADJ
ejpam-7067	332	14	coupling	coupling	NOUN
ejpam-7067	332	15	in	in	ADP
ejpam-7067	332	16	the	the	DET
ejpam-7067	332	17	distributed	distribute	VERB
ejpam-7067	332	18	dynamics	dynamic	NOUN
ejpam-7067	332	19	.	.	PUNCT
ejpam-7067	333	1	each	each	DET
ejpam-7067	333	2	directed	direct	VERB
ejpam-7067	333	3	edge	edge	NOUN
ejpam-7067	333	4	(	(	PUNCT
ejpam-7067	333	5	i	i	PROPN
ejpam-7067	333	6	,	,	PUNCT
ejpam-7067	333	7	j	j	PROPN
ejpam-7067	333	8	)	)	PUNCT
ejpam-7067	333	9	∈	∈	PROPN
ejpam-7067	333	10	e	e	NOUN
ejpam-7067	333	11	carries	carry	VERB
ejpam-7067	333	12	a	a	DET
ejpam-7067	333	13	scalar	scalar	ADJ
ejpam-7067	333	14	edge	edge	NOUN
ejpam-7067	333	15	state	state	NOUN
ejpam-7067	333	16	xij(t	xij(t	PROPN
ejpam-7067	333	17	)	)	PUNCT
ejpam-7067	333	18	and	and	CCONJ
ejpam-7067	333	19	an	an	DET
ejpam-7067	333	20	associated	associated	ADJ
ejpam-7067	333	21	scaling	scale	VERB
ejpam-7067	333	22	weight	weight	NOUN
ejpam-7067	333	23	sij	sij	PROPN
ejpam-7067	333	24	=	=	PUNCT
ejpam-7067	333	25	1	1	NUM
ejpam-7067	333	26	+	+	NUM
ejpam-7067	333	27	0.1	0.1	NUM
ejpam-7067	333	28	·	·	PUNCT
ejpam-7067	333	29	(	(	PUNCT
ejpam-7067	333	30	k	k	X
ejpam-7067	333	31	mod	mod	PROPN
ejpam-7067	333	32	5	5	NUM
ejpam-7067	333	33	)	)	PUNCT
ejpam-7067	333	34	for	for	ADP
ejpam-7067	333	35	the	the	DET
ejpam-7067	333	36	kth	kth	PROPN
ejpam-7067	333	37	edge	edge	NOUN
ejpam-7067	333	38	,	,	PUNCT
ejpam-7067	333	39	yielding	yield	VERB
ejpam-7067	333	40	ds	ds	ADJ
ejpam-7067	333	41	=	=	SYM
ejpam-7067	333	42	diag(se1	diag(se1	NOUN
ejpam-7067	333	43	,	,	PUNCT
ejpam-7067	333	44	.	.	PUNCT
ejpam-7067	333	45	.	.	PUNCT
ejpam-7067	334	1	.	.	PUNCT
ejpam-7067	335	1	,	,	PUNCT
ejpam-7067	335	2	sem	sem	PROPN
ejpam-7067	335	3	)	)	PUNCT
ejpam-7067	335	4	.	.	PUNCT
ejpam-7067	336	1	the	the	DET
ejpam-7067	336	2	hysteretic	hysteretic	ADJ
ejpam-7067	336	3	activation	activation	NOUN
ejpam-7067	336	4	thresholds	threshold	NOUN
ejpam-7067	336	5	are	be	AUX
ejpam-7067	336	6	fixed	fix	VERB
ejpam-7067	336	7	as	as	ADP
ejpam-7067	336	8	αon	αon	NOUN
ejpam-7067	336	9	=	=	SYM
ejpam-7067	336	10	0.20	0.20	NUM
ejpam-7067	336	11	and	and	CCONJ
ejpam-7067	336	12	αoff	αoff	NOUN
ejpam-7067	336	13	=	=	SYM
ejpam-7067	336	14	0.15	0.15	NUM
ejpam-7067	336	15	,	,	PUNCT
ejpam-7067	336	16	the	the	DET
ejpam-7067	336	17	actuator	actuator	NOUN
ejpam-7067	336	18	saturation	saturation	NOUN
ejpam-7067	336	19	limit	limit	NOUN
ejpam-7067	336	20	is	be	AUX
ejpam-7067	336	21	ω	ω	NOUN
ejpam-7067	336	22	=	=	NOUN
ejpam-7067	336	23	1.5	1.5	NUM
ejpam-7067	336	24	,	,	PUNCT
ejpam-7067	336	25	and	and	CCONJ
ejpam-7067	336	26	the	the	DET
ejpam-7067	336	27	nominal	nominal	ADJ
ejpam-7067	336	28	gain	gain	NOUN
ejpam-7067	336	29	is	be	AUX
ejpam-7067	336	30	γ	γ	X
ejpam-7067	336	31	=	=	SYM
ejpam-7067	336	32	1	1	NUM
ejpam-7067	336	33	.	.	PUNCT
ejpam-7067	337	1	the	the	DET
ejpam-7067	337	2	low	low	ADJ
ejpam-7067	337	3	-	-	PUNCT
ejpam-7067	337	4	gain	gain	NOUN
ejpam-7067	337	5	parameter	parameter	NOUN
ejpam-7067	337	6	ε	ε	PROPN
ejpam-7067	337	7	∈	∈	PROPN
ejpam-7067	337	8	(	(	PUNCT
ejpam-7067	337	9	0	0	NUM
ejpam-7067	337	10	,	,	PUNCT
ejpam-7067	337	11	1	1	NUM
ejpam-7067	337	12	]	]	PUNCT
ejpam-7067	337	13	is	be	AUX
ejpam-7067	337	14	selected	select	VERB
ejpam-7067	337	15	according	accord	VERB
ejpam-7067	337	16	to	to	ADP
ejpam-7067	337	17	the	the	DET
ejpam-7067	337	18	examined	examine	VERB
ejpam-7067	337	19	regime	regime	NOUN
ejpam-7067	337	20	.	.	PUNCT
ejpam-7067	338	1	simulations	simulation	NOUN
ejpam-7067	338	2	are	be	AUX
ejpam-7067	338	3	performed	perform	VERB
ejpam-7067	338	4	over	over	ADP
ejpam-7067	338	5	the	the	DET
ejpam-7067	338	6	time	time	NOUN
ejpam-7067	338	7	horizon	horizon	NOUN
ejpam-7067	338	8	[	[	X
ejpam-7067	338	9	0	0	NUM
ejpam-7067	338	10	,	,	PUNCT
ejpam-7067	338	11	14	14	NUM
ejpam-7067	338	12	]	]	SYM
ejpam-7067	338	13	s	s	X
ejpam-7067	338	14	with	with	ADP
ejpam-7067	338	15	step	step	NOUN
ejpam-7067	338	16	size	size	NOUN
ejpam-7067	338	17	∆t	∆t	PROPN
ejpam-7067	338	18	=	=	SYM
ejpam-7067	338	19	10−3	10−3	PROPN
ejpam-7067	338	20	s.	s.	PROPN
ejpam-7067	338	21	initial	initial	ADJ
ejpam-7067	338	22	edge	edge	NOUN
ejpam-7067	338	23	states	state	NOUN
ejpam-7067	338	24	x(0	x(0	PROPN
ejpam-7067	338	25	)	)	PUNCT
ejpam-7067	338	26	are	be	AUX
ejpam-7067	338	27	sampled	sample	VERB
ejpam-7067	338	28	independently	independently	ADV
ejpam-7067	338	29	from	from	ADP
ejpam-7067	338	30	u	u	NOUN
ejpam-7067	338	31	[	[	X
ejpam-7067	338	32	−10	−10	X
ejpam-7067	338	33	,	,	PUNCT
ejpam-7067	338	34	10	10	NUM
ejpam-7067	338	35	]	]	PUNCT
ejpam-7067	338	36	using	use	VERB
ejpam-7067	338	37	a	a	DET
ejpam-7067	338	38	fixed	fix	VERB
ejpam-7067	338	39	random	random	ADJ
ejpam-7067	338	40	seed	seed	NOUN
ejpam-7067	338	41	to	to	PART
ejpam-7067	338	42	ensure	ensure	VERB
ejpam-7067	338	43	reproducibility	reproducibility	NOUN
ejpam-7067	338	44	m.	m.	NOUN
ejpam-7067	338	45	donganont	donganont	PROPN
ejpam-7067	338	46	et	et	PROPN
ejpam-7067	338	47	al	al	PROPN
ejpam-7067	338	48	.	.	PUNCT
ejpam-7067	338	49	/	/	SYM
ejpam-7067	338	50	eur	eur	PROPN
ejpam-7067	338	51	.	.	PUNCT
ejpam-7067	339	1	j.	j.	PROPN
ejpam-7067	339	2	pure	pure	PROPN
ejpam-7067	339	3	appl	appl	PROPN
ejpam-7067	339	4	.	.	PROPN
ejpam-7067	339	5	math	math	PROPN
ejpam-7067	339	6	,	,	PUNCT
ejpam-7067	339	7	18	18	NUM
ejpam-7067	339	8	(	(	PUNCT
ejpam-7067	339	9	4	4	NUM
ejpam-7067	339	10	)	)	PUNCT
ejpam-7067	339	11	(	(	PUNCT
ejpam-7067	339	12	2025	2025	NUM
ejpam-7067	339	13	)	)	PUNCT
ejpam-7067	339	14	,	,	PUNCT
ejpam-7067	339	15	7067	7067	NUM
ejpam-7067	339	16	17	17	NUM
ejpam-7067	339	17	of	of	ADP
ejpam-7067	339	18	22	22	NUM
ejpam-7067	339	19	figure	figure	NOUN
ejpam-7067	339	20	2	2	NUM
ejpam-7067	339	21	:	:	PUNCT
ejpam-7067	339	22	normalized	normalize	VERB
ejpam-7067	339	23	edge	edge	NOUN
ejpam-7067	339	24	trajectories	trajectory	NOUN
ejpam-7067	339	25	under	under	ADP
ejpam-7067	339	26	the	the	DET
ejpam-7067	339	27	fully	fully	ADV
ejpam-7067	339	28	active	active	ADJ
ejpam-7067	339	29	unsaturated	unsaturated	ADJ
ejpam-7067	339	30	flow	flow	NOUN
ejpam-7067	339	31	(	(	PUNCT
ejpam-7067	339	32	α	α	NOUN
ejpam-7067	339	33	=	=	NOUN
ejpam-7067	339	34	0	0	NUM
ejpam-7067	339	35	)	)	PUNCT
ejpam-7067	339	36	.	.	PUNCT
ejpam-7067	340	1	all	all	DET
ejpam-7067	340	2	trajectories	trajectory	NOUN
ejpam-7067	340	3	converge	converge	VERB
ejpam-7067	340	4	exponentially	exponentially	ADV
ejpam-7067	340	5	to	to	ADP
ejpam-7067	340	6	a	a	DET
ejpam-7067	340	7	common	common	ADJ
ejpam-7067	340	8	scaled	scale	VERB
ejpam-7067	340	9	value	value	NOUN
ejpam-7067	340	10	λ	λ	PROPN
ejpam-7067	340	11	,	,	PUNCT
ejpam-7067	340	12	confirming	confirm	VERB
ejpam-7067	340	13	the	the	DET
ejpam-7067	340	14	theoretical	theoretical	ADJ
ejpam-7067	340	15	prediction	prediction	NOUN
ejpam-7067	340	16	of	of	ADP
ejpam-7067	340	17	global	global	ADJ
ejpam-7067	340	18	scaled	scale	VERB
ejpam-7067	340	19	consensus	consensus	NOUN
ejpam-7067	340	20	stated	state	VERB
ejpam-7067	340	21	in	in	ADP
ejpam-7067	340	22	theorem	theorem	NOUN
ejpam-7067	340	23	1	1	NUM
ejpam-7067	340	24	.	.	PUNCT
ejpam-7067	341	1	the	the	DET
ejpam-7067	341	2	simulation	simulation	NOUN
ejpam-7067	341	3	uses	use	VERB
ejpam-7067	341	4	ẋ	ẋ	PROPN
ejpam-7067	342	1	=	=	PRON
ejpam-7067	342	2	−dsled	−dsle	VERB
ejpam-7067	342	3	−1	−1	NOUN
ejpam-7067	342	4	s	s	VERB
ejpam-7067	342	5	x	x	PUNCT
ejpam-7067	342	6	with	with	ADP
ejpam-7067	342	7	ω	ω	PROPN
ejpam-7067	342	8	=	=	SYM
ejpam-7067	342	9	∞	∞	PROPN
ejpam-7067	342	10	and	and	CCONJ
ejpam-7067	342	11	φα	φα	ADP
ejpam-7067	342	12	≡	≡	PROPN
ejpam-7067	342	13	i.	i.	PROPN
ejpam-7067	342	14	before	before	ADP
ejpam-7067	342	15	each	each	DET
ejpam-7067	342	16	run	run	NOUN
ejpam-7067	342	17	,	,	PUNCT
ejpam-7067	342	18	the	the	DET
ejpam-7067	342	19	safe	safe	ADJ
ejpam-7067	342	20	-	-	PUNCT
ejpam-7067	342	21	dispersion	dispersion	NOUN
ejpam-7067	342	22	condition	condition	NOUN
ejpam-7067	342	23	is	be	AUX
ejpam-7067	342	24	verified	verify	VERB
ejpam-7067	342	25	.	.	PUNCT
ejpam-7067	343	1	given	give	VERB
ejpam-7067	343	2	the	the	DET
ejpam-7067	343	3	normalized	normalize	VERB
ejpam-7067	343	4	initial	initial	ADJ
ejpam-7067	343	5	states	state	NOUN
ejpam-7067	343	6	z(0	z(0	NOUN
ejpam-7067	343	7	)	)	PUNCT
ejpam-7067	343	8	=	=	PUNCT
ejpam-7067	344	1	d−1	d−1	PROPN
ejpam-7067	344	2	s	s	PROPN
ejpam-7067	344	3	x(0	x(0	PROPN
ejpam-7067	344	4	)	)	PUNCT
ejpam-7067	344	5	,	,	PUNCT
ejpam-7067	344	6	the	the	DET
ejpam-7067	344	7	dispersion	dispersion	NOUN
ejpam-7067	344	8	δ0	δ0	NOUN
ejpam-7067	344	9	=	=	SYM
ejpam-7067	344	10	maxi	maxi	ADJ
ejpam-7067	344	11	zi(0	zi(0	NOUN
ejpam-7067	344	12	)	)	PUNCT
ejpam-7067	344	13	−	−	PROPN
ejpam-7067	344	14	mini	mini	NOUN
ejpam-7067	344	15	zi(0	zi(0	NOUN
ejpam-7067	344	16	)	)	PUNCT
ejpam-7067	344	17	is	be	AUX
ejpam-7067	344	18	evaluated	evaluate	VERB
ejpam-7067	344	19	.	.	PUNCT
ejpam-7067	345	1	a	a	DET
ejpam-7067	345	2	sufficient	sufficient	ADJ
ejpam-7067	345	3	criterion	criterion	NOUN
ejpam-7067	345	4	for	for	ADP
ejpam-7067	345	5	unsaturated	unsaturated	ADJ
ejpam-7067	345	6	operation	operation	NOUN
ejpam-7067	345	7	is	be	AUX
ejpam-7067	345	8	δ0	δ0	NOUN
ejpam-7067	345	9	<	<	X
ejpam-7067	345	10	ω/(γ	ω/(γ	PROPN
ejpam-7067	345	11	ce	ce	PROPN
ejpam-7067	345	12	)	)	PUNCT
ejpam-7067	345	13	,	,	PUNCT
ejpam-7067	345	14	where	where	SCONJ
ejpam-7067	345	15	ce	ce	PROPN
ejpam-7067	345	16	=	=	PROPN
ejpam-7067	345	17	∥le∥∞	∥le∥∞	PROPN
ejpam-7067	345	18	denotes	denote	VERB
ejpam-7067	345	19	the	the	DET
ejpam-7067	345	20	line	line	NOUN
ejpam-7067	345	21	-	-	PUNCT
ejpam-7067	345	22	digraph	digraph	NOUN
ejpam-7067	345	23	coupling	coupling	NOUN
ejpam-7067	345	24	constant	constant	ADJ
ejpam-7067	345	25	.	.	PUNCT
ejpam-7067	346	1	if	if	SCONJ
ejpam-7067	346	2	this	this	DET
ejpam-7067	346	3	bound	bind	VERB
ejpam-7067	346	4	is	be	AUX
ejpam-7067	346	5	violated	violate	VERB
ejpam-7067	346	6	,	,	PUNCT
ejpam-7067	346	7	the	the	DET
ejpam-7067	346	8	initial	initial	ADJ
ejpam-7067	346	9	conditions	condition	NOUN
ejpam-7067	346	10	are	be	AUX
ejpam-7067	346	11	rescaled	rescale	VERB
ejpam-7067	346	12	to	to	PART
ejpam-7067	346	13	satisfy	satisfy	VERB
ejpam-7067	346	14	it	it	PRON
ejpam-7067	346	15	,	,	PUNCT
ejpam-7067	346	16	ensuring	ensure	VERB
ejpam-7067	346	17	compatibility	compatibility	NOUN
ejpam-7067	346	18	with	with	ADP
ejpam-7067	346	19	the	the	DET
ejpam-7067	346	20	assumptions	assumption	NOUN
ejpam-7067	346	21	in	in	ADP
ejpam-7067	346	22	theorem	theorem	NOUN
ejpam-7067	346	23	2	2	NUM
ejpam-7067	346	24	.	.	PUNCT
ejpam-7067	346	25	case	case	NOUN
ejpam-7067	346	26	1	1	NUM
ejpam-7067	346	27	:	:	PUNCT
ejpam-7067	346	28	unsaturated	unsaturated	ADJ
ejpam-7067	346	29	operation	operation	NOUN
ejpam-7067	346	30	(	(	PUNCT
ejpam-7067	346	31	α	α	NOUN
ejpam-7067	346	32	=	=	NOUN
ejpam-7067	346	33	0	0	NUM
ejpam-7067	346	34	)	)	PUNCT
ejpam-7067	346	35	in	in	ADP
ejpam-7067	346	36	the	the	DET
ejpam-7067	346	37	first	first	ADJ
ejpam-7067	346	38	regime	regime	NOUN
ejpam-7067	346	39	,	,	PUNCT
ejpam-7067	346	40	threshold	threshold	NOUN
ejpam-7067	346	41	activation	activation	NOUN
ejpam-7067	346	42	is	be	AUX
ejpam-7067	346	43	disabled	disabled	ADJ
ejpam-7067	346	44	(	(	PUNCT
ejpam-7067	346	45	αon	αon	NOUN
ejpam-7067	346	46	=	=	SYM
ejpam-7067	346	47	αoff	αoff	NOUN
ejpam-7067	346	48	=	=	SYM
ejpam-7067	346	49	0	0	NUM
ejpam-7067	346	50	)	)	PUNCT
ejpam-7067	346	51	and	and	CCONJ
ejpam-7067	346	52	the	the	DET
ejpam-7067	346	53	saturation	saturation	NOUN
ejpam-7067	346	54	constraint	constraint	NOUN
ejpam-7067	346	55	is	be	AUX
ejpam-7067	346	56	removed	remove	VERB
ejpam-7067	346	57	(	(	PUNCT
ejpam-7067	346	58	ω	ω	NOUN
ejpam-7067	346	59	=	=	SYM
ejpam-7067	346	60	∞	∞	PROPN
ejpam-7067	346	61	)	)	PUNCT
ejpam-7067	346	62	,	,	PUNCT
ejpam-7067	346	63	producing	produce	VERB
ejpam-7067	346	64	the	the	DET
ejpam-7067	346	65	nominal	nominal	ADJ
ejpam-7067	346	66	continuous	continuous	ADJ
ejpam-7067	346	67	-	-	PUNCT
ejpam-7067	346	68	time	time	NOUN
ejpam-7067	346	69	flow	flow	NOUN
ejpam-7067	346	70	ẋ(t	ẋ(t	NUM
ejpam-7067	346	71	)	)	PUNCT
ejpam-7067	347	1	=	=	VERB
ejpam-7067	347	2	−dsled	−dsle	VERB
ejpam-7067	347	3	−1	−1	NOUN
ejpam-7067	347	4	s	s	PART
ejpam-7067	347	5	x(t	x(t	PROPN
ejpam-7067	347	6	)	)	PUNCT
ejpam-7067	347	7	.	.	PUNCT
ejpam-7067	348	1	all	all	DET
ejpam-7067	348	2	edge	edge	NOUN
ejpam-7067	348	3	interactions	interaction	NOUN
ejpam-7067	348	4	remain	remain	VERB
ejpam-7067	348	5	fully	fully	ADV
ejpam-7067	348	6	active	active	ADJ
ejpam-7067	348	7	.	.	PUNCT
ejpam-7067	349	1	as	as	SCONJ
ejpam-7067	349	2	shown	show	VERB
ejpam-7067	349	3	in	in	ADP
ejpam-7067	349	4	fig	fig	NOUN
ejpam-7067	349	5	.	.	PUNCT
ejpam-7067	350	1	2	2	NUM
ejpam-7067	350	2	,	,	PUNCT
ejpam-7067	350	3	the	the	DET
ejpam-7067	350	4	normalized	normalize	VERB
ejpam-7067	350	5	edge	edge	NOUN
ejpam-7067	350	6	trajectories	trajectory	NOUN
ejpam-7067	350	7	zi	zi	NOUN
ejpam-7067	351	1	=	=	SYM
ejpam-7067	351	2	xi	xi	PROPN
ejpam-7067	351	3	/	/	SYM
ejpam-7067	351	4	si	si	X
ejpam-7067	351	5	converge	converge	VERB
ejpam-7067	351	6	exponentially	exponentially	ADV
ejpam-7067	351	7	to	to	ADP
ejpam-7067	351	8	a	a	DET
ejpam-7067	351	9	common	common	ADJ
ejpam-7067	351	10	equilibrium	equilibrium	NOUN
ejpam-7067	351	11	value	value	NOUN
ejpam-7067	351	12	λ	λ	PROPN
ejpam-7067	351	13	,	,	PUNCT
ejpam-7067	351	14	verifying	verify	VERB
ejpam-7067	351	15	global	global	ADJ
ejpam-7067	351	16	scaled	scale	VERB
ejpam-7067	351	17	consensus	consensus	NOUN
ejpam-7067	351	18	as	as	SCONJ
ejpam-7067	351	19	established	establish	VERB
ejpam-7067	351	20	in	in	ADP
ejpam-7067	351	21	theorem	theorem	NOUN
ejpam-7067	351	22	1	1	NUM
ejpam-7067	351	23	.	.	PUNCT
ejpam-7067	352	1	the	the	DET
ejpam-7067	352	2	activation	activation	NOUN
ejpam-7067	352	3	ratio	ratio	NOUN
ejpam-7067	352	4	is	be	AUX
ejpam-7067	352	5	ρact	ρact	NOUN
ejpam-7067	352	6	=	=	SYM
ejpam-7067	352	7	1	1	NUM
ejpam-7067	352	8	,	,	PUNCT
ejpam-7067	352	9	total	total	ADJ
ejpam-7067	352	10	control	control	NOUN
ejpam-7067	352	11	usage	usage	NOUN
ejpam-7067	352	12	ju	ju	PROPN
ejpam-7067	352	13	is	be	AUX
ejpam-7067	352	14	finite	finite	ADJ
ejpam-7067	352	15	,	,	PUNCT
ejpam-7067	352	16	and	and	CCONJ
ejpam-7067	352	17	the	the	DET
ejpam-7067	352	18	asymptotic	asymptotic	ADJ
ejpam-7067	352	19	dispersion	dispersion	NOUN
ejpam-7067	352	20	∆∞	∆∞	NOUN
ejpam-7067	352	21	≈	≈	PROPN
ejpam-7067	352	22	0	0	NUM
ejpam-7067	352	23	.	.	PUNCT
ejpam-7067	353	1	case	case	NOUN
ejpam-7067	353	2	2	2	NUM
ejpam-7067	353	3	:	:	PUNCT
ejpam-7067	353	4	saturation	saturation	NOUN
ejpam-7067	353	5	with	with	ADP
ejpam-7067	353	6	safe	safe	ADJ
ejpam-7067	353	7	-	-	PUNCT
ejpam-7067	353	8	dispersion	dispersion	NOUN
ejpam-7067	353	9	initialization	initialization	NOUN
ejpam-7067	353	10	in	in	ADP
ejpam-7067	353	11	the	the	DET
ejpam-7067	353	12	second	second	ADJ
ejpam-7067	353	13	regime	regime	NOUN
ejpam-7067	353	14	,	,	PUNCT
ejpam-7067	353	15	actuator	actuator	NOUN
ejpam-7067	353	16	saturation	saturation	NOUN
ejpam-7067	353	17	is	be	AUX
ejpam-7067	353	18	activated	activate	VERB
ejpam-7067	353	19	(	(	PUNCT
ejpam-7067	353	20	ω	ω	NOUN
ejpam-7067	353	21	=	=	NOUN
ejpam-7067	353	22	1.5	1.5	NUM
ejpam-7067	353	23	)	)	PUNCT
ejpam-7067	353	24	while	while	SCONJ
ejpam-7067	353	25	hysteretic	hysteretic	ADJ
ejpam-7067	353	26	thresholds	threshold	NOUN
ejpam-7067	353	27	remain	remain	VERB
ejpam-7067	353	28	at	at	ADP
ejpam-7067	353	29	αon	αon	NOUN
ejpam-7067	353	30	=	=	SYM
ejpam-7067	353	31	0.20	0.20	NUM
ejpam-7067	353	32	and	and	CCONJ
ejpam-7067	353	33	αoff	αoff	NOUN
ejpam-7067	353	34	=	=	SYM
ejpam-7067	353	35	0.15	0.15	NUM
ejpam-7067	353	36	.	.	PUNCT
ejpam-7067	354	1	initial	initial	ADJ
ejpam-7067	354	2	conditions	condition	NOUN
ejpam-7067	354	3	are	be	AUX
ejpam-7067	354	4	scaled	scale	VERB
ejpam-7067	354	5	to	to	PART
ejpam-7067	354	6	satisfy	satisfy	VERB
ejpam-7067	354	7	the	the	DET
ejpam-7067	354	8	safety	safety	NOUN
ejpam-7067	354	9	constraint	constraint	NOUN
ejpam-7067	354	10	δ0	δ0	NOUN
ejpam-7067	354	11	<	<	X
ejpam-7067	354	12	ω/(γ	ω/(γ	PROPN
ejpam-7067	354	13	ce	ce	PROPN
ejpam-7067	354	14	)	)	PUNCT
ejpam-7067	354	15	,	,	PUNCT
ejpam-7067	354	16	ensuring	ensure	VERB
ejpam-7067	354	17	that	that	SCONJ
ejpam-7067	354	18	the	the	DET
ejpam-7067	354	19	input	input	NOUN
ejpam-7067	354	20	signal	signal	NOUN
ejpam-7067	354	21	never	never	ADV
ejpam-7067	354	22	reaches	reach	VERB
ejpam-7067	354	23	the	the	DET
ejpam-7067	354	24	saturation	saturation	NOUN
ejpam-7067	354	25	bound	bind	VERB
ejpam-7067	354	26	.	.	PUNCT
ejpam-7067	355	1	consequently	consequently	ADV
ejpam-7067	355	2	,	,	PUNCT
ejpam-7067	355	3	the	the	DET
ejpam-7067	355	4	system	system	NOUN
ejpam-7067	355	5	dynamics	dynamic	NOUN
ejpam-7067	355	6	coincide	coincide	VERB
ejpam-7067	355	7	with	with	ADP
ejpam-7067	355	8	the	the	DET
ejpam-7067	355	9	unsaturated	unsaturated	ADJ
ejpam-7067	355	10	flow	flow	NOUN
ejpam-7067	355	11	,	,	PUNCT
ejpam-7067	355	12	and	and	CCONJ
ejpam-7067	355	13	exact	exact	ADJ
ejpam-7067	355	14	scaled	scale	VERB
ejpam-7067	355	15	m.	m.	NOUN
ejpam-7067	355	16	donganont	donganont	PROPN
ejpam-7067	355	17	et	et	PROPN
ejpam-7067	355	18	al	al	PROPN
ejpam-7067	355	19	.	.	PUNCT
ejpam-7067	355	20	/	/	SYM
ejpam-7067	355	21	eur	eur	PROPN
ejpam-7067	355	22	.	.	PUNCT
ejpam-7067	356	1	j.	j.	PROPN
ejpam-7067	356	2	pure	pure	PROPN
ejpam-7067	356	3	appl	appl	PROPN
ejpam-7067	356	4	.	.	PROPN
ejpam-7067	356	5	math	math	PROPN
ejpam-7067	356	6	,	,	PUNCT
ejpam-7067	356	7	18	18	NUM
ejpam-7067	356	8	(	(	PUNCT
ejpam-7067	356	9	4	4	NUM
ejpam-7067	356	10	)	)	PUNCT
ejpam-7067	356	11	(	(	PUNCT
ejpam-7067	356	12	2025	2025	NUM
ejpam-7067	356	13	)	)	PUNCT
ejpam-7067	356	14	,	,	PUNCT
ejpam-7067	356	15	7067	7067	NUM
ejpam-7067	356	16	18	18	NUM
ejpam-7067	356	17	of	of	ADP
ejpam-7067	356	18	22	22	NUM
ejpam-7067	356	19	figure	figure	NOUN
ejpam-7067	356	20	3	3	NUM
ejpam-7067	356	21	:	:	PUNCT
ejpam-7067	356	22	saturated	saturate	VERB
ejpam-7067	356	23	protocol	protocol	NOUN
ejpam-7067	356	24	with	with	ADP
ejpam-7067	356	25	safe	safe	ADJ
ejpam-7067	356	26	-	-	PUNCT
ejpam-7067	356	27	dispersion	dispersion	NOUN
ejpam-7067	356	28	initialization	initialization	NOUN
ejpam-7067	356	29	(	(	PUNCT
ejpam-7067	356	30	αon	αon	NOUN
ejpam-7067	356	31	=	=	SYM
ejpam-7067	356	32	0.20	0.20	NUM
ejpam-7067	356	33	,	,	PUNCT
ejpam-7067	356	34	αoff	αoff	NOUN
ejpam-7067	356	35	=	=	SYM
ejpam-7067	356	36	0.15	0.15	NUM
ejpam-7067	356	37	)	)	PUNCT
ejpam-7067	356	38	.	.	PUNCT
ejpam-7067	357	1	the	the	DET
ejpam-7067	357	2	initial	initial	ADJ
ejpam-7067	357	3	conditions	condition	NOUN
ejpam-7067	357	4	satisfy	satisfy	VERB
ejpam-7067	357	5	the	the	DET
ejpam-7067	357	6	safe	safe	ADJ
ejpam-7067	357	7	-	-	PUNCT
ejpam-7067	357	8	dispersion	dispersion	NOUN
ejpam-7067	357	9	test	test	NOUN
ejpam-7067	357	10	δ0	δ0	NOUN
ejpam-7067	357	11	<	<	X
ejpam-7067	357	12	ω/(γ	ω/(γ	PROPN
ejpam-7067	357	13	ce	ce	PROPN
ejpam-7067	357	14	)	)	PUNCT
ejpam-7067	357	15	,	,	PUNCT
ejpam-7067	357	16	ensuring	ensure	VERB
ejpam-7067	357	17	that	that	SCONJ
ejpam-7067	357	18	saturation	saturation	NOUN
ejpam-7067	357	19	is	be	AUX
ejpam-7067	357	20	never	never	ADV
ejpam-7067	357	21	activated	activate	VERB
ejpam-7067	357	22	.	.	PUNCT
ejpam-7067	358	1	the	the	DET
ejpam-7067	358	2	system	system	NOUN
ejpam-7067	358	3	follows	follow	VERB
ejpam-7067	358	4	the	the	DET
ejpam-7067	358	5	unsaturated	unsaturated	ADJ
ejpam-7067	358	6	dynamics	dynamic	NOUN
ejpam-7067	358	7	,	,	PUNCT
ejpam-7067	358	8	and	and	CCONJ
ejpam-7067	358	9	all	all	PRON
ejpam-7067	358	10	normalized	normalize	VERB
ejpam-7067	358	11	edge	edge	NOUN
ejpam-7067	358	12	states	state	NOUN
ejpam-7067	358	13	reach	reach	VERB
ejpam-7067	358	14	exact	exact	ADJ
ejpam-7067	358	15	scaled	scale	VERB
ejpam-7067	358	16	consensus	consensus	NOUN
ejpam-7067	358	17	,	,	PUNCT
ejpam-7067	358	18	in	in	ADP
ejpam-7067	358	19	agreement	agreement	NOUN
ejpam-7067	358	20	with	with	ADP
ejpam-7067	358	21	theorem	theorem	NOUN
ejpam-7067	358	22	2	2	NUM
ejpam-7067	358	23	.	.	X
ejpam-7067	358	24	consensus	consensus	NOUN
ejpam-7067	358	25	is	be	AUX
ejpam-7067	358	26	preserved	preserve	VERB
ejpam-7067	358	27	.	.	PUNCT
ejpam-7067	359	1	figure	figure	NOUN
ejpam-7067	359	2	3	3	NUM
ejpam-7067	359	3	illustrates	illustrate	VERB
ejpam-7067	359	4	this	this	DET
ejpam-7067	359	5	behavior	behavior	NOUN
ejpam-7067	359	6	,	,	PUNCT
ejpam-7067	359	7	showing	show	VERB
ejpam-7067	359	8	smooth	smooth	ADJ
ejpam-7067	359	9	monotonic	monotonic	ADJ
ejpam-7067	359	10	convergence	convergence	NOUN
ejpam-7067	359	11	of	of	ADP
ejpam-7067	359	12	all	all	PRON
ejpam-7067	359	13	normalized	normalize	VERB
ejpam-7067	359	14	edge	edge	NOUN
ejpam-7067	359	15	states	state	NOUN
ejpam-7067	359	16	without	without	ADP
ejpam-7067	359	17	any	any	DET
ejpam-7067	359	18	control	control	NOUN
ejpam-7067	359	19	saturation	saturation	NOUN
ejpam-7067	359	20	engagement	engagement	NOUN
ejpam-7067	359	21	,	,	PUNCT
ejpam-7067	359	22	in	in	ADP
ejpam-7067	359	23	full	full	ADJ
ejpam-7067	359	24	agreement	agreement	NOUN
ejpam-7067	359	25	with	with	ADP
ejpam-7067	359	26	theorem	theorem	ADJ
ejpam-7067	359	27	2	2	NUM
ejpam-7067	359	28	.	.	NOUN
ejpam-7067	359	29	case	case	NOUN
ejpam-7067	359	30	3	3	NUM
ejpam-7067	359	31	:	:	PUNCT
ejpam-7067	359	32	low	low	ADJ
ejpam-7067	359	33	-	-	PUNCT
ejpam-7067	359	34	gain	gain	NOUN
ejpam-7067	359	35	operation	operation	NOUN
ejpam-7067	359	36	beyond	beyond	ADP
ejpam-7067	359	37	the	the	DET
ejpam-7067	359	38	safe	safe	ADJ
ejpam-7067	359	39	domain	domain	NOUN
ejpam-7067	359	40	the	the	DET
ejpam-7067	359	41	third	third	ADJ
ejpam-7067	359	42	regime	regime	NOUN
ejpam-7067	359	43	investigates	investigate	VERB
ejpam-7067	359	44	the	the	DET
ejpam-7067	359	45	effect	effect	NOUN
ejpam-7067	359	46	of	of	ADP
ejpam-7067	359	47	large	large	ADJ
ejpam-7067	359	48	initial	initial	ADJ
ejpam-7067	359	49	dispersion	dispersion	NOUN
ejpam-7067	359	50	values	value	NOUN
ejpam-7067	359	51	that	that	PRON
ejpam-7067	359	52	violate	violate	VERB
ejpam-7067	359	53	the	the	DET
ejpam-7067	359	54	safety	safety	NOUN
ejpam-7067	359	55	condition	condition	NOUN
ejpam-7067	359	56	.	.	PUNCT
ejpam-7067	360	1	here	here	ADV
ejpam-7067	360	2	,	,	PUNCT
ejpam-7067	360	3	the	the	DET
ejpam-7067	360	4	low	low	ADJ
ejpam-7067	360	5	-	-	PUNCT
ejpam-7067	360	6	gain	gain	NOUN
ejpam-7067	360	7	control	control	NOUN
ejpam-7067	360	8	law	law	NOUN
ejpam-7067	360	9	is	be	AUX
ejpam-7067	360	10	applied	apply	VERB
ejpam-7067	360	11	with	with	ADP
ejpam-7067	360	12	ε	ε	PROPN
ejpam-7067	360	13	<	<	X
ejpam-7067	360	14	1	1	NUM
ejpam-7067	360	15	,	,	PUNCT
ejpam-7067	360	16	producing	produce	VERB
ejpam-7067	360	17	saturation	saturation	NOUN
ejpam-7067	360	18	engagement	engagement	NOUN
ejpam-7067	360	19	.	.	PUNCT
ejpam-7067	361	1	for	for	ADP
ejpam-7067	361	2	small	small	ADJ
ejpam-7067	361	3	ε	ε	PROPN
ejpam-7067	361	4	,	,	PUNCT
ejpam-7067	361	5	the	the	DET
ejpam-7067	361	6	trajectories	trajectory	NOUN
ejpam-7067	361	7	still	still	ADV
ejpam-7067	361	8	converge	converge	VERB
ejpam-7067	361	9	exactly	exactly	ADV
ejpam-7067	361	10	;	;	PUNCT
ejpam-7067	361	11	for	for	ADP
ejpam-7067	361	12	larger	large	ADJ
ejpam-7067	361	13	ε	ε	PROPN
ejpam-7067	361	14	,	,	PUNCT
ejpam-7067	361	15	bounded	bound	VERB
ejpam-7067	361	16	quasi	quasi	ADJ
ejpam-7067	361	17	-	-	ADJ
ejpam-7067	361	18	consensus	consensus	NOUN
ejpam-7067	361	19	emerges	emerge	NOUN
ejpam-7067	361	20	.	.	PUNCT
ejpam-7067	362	1	figure	figure	VERB
ejpam-7067	362	2	4	4	NUM
ejpam-7067	362	3	illustrates	illustrate	VERB
ejpam-7067	362	4	this	this	DET
ejpam-7067	362	5	latter	latter	ADJ
ejpam-7067	362	6	behavior	behavior	NOUN
ejpam-7067	362	7	for	for	ADP
ejpam-7067	362	8	ε	ε	PROPN
ejpam-7067	362	9	=	=	PUNCT
ejpam-7067	362	10	0.25	0.25	NUM
ejpam-7067	362	11	,	,	PUNCT
ejpam-7067	362	12	where	where	SCONJ
ejpam-7067	362	13	trajectories	trajectory	NOUN
ejpam-7067	362	14	remain	remain	VERB
ejpam-7067	362	15	confined	confine	VERB
ejpam-7067	362	16	within	within	ADP
ejpam-7067	362	17	the	the	DET
ejpam-7067	362	18	invariant	invariant	ADJ
ejpam-7067	362	19	band	band	NOUN
ejpam-7067	362	20	bρ	bρ	VERB
ejpam-7067	362	21	of	of	ADP
ejpam-7067	362	22	radius	radius	PROPN
ejpam-7067	362	23	ρ	ρ	PROPN
ejpam-7067	362	24	=	=	PUNCT
ejpam-7067	362	25	cqα	cqα	NOUN
ejpam-7067	362	26	predicted	predict	VERB
ejpam-7067	362	27	by	by	ADP
ejpam-7067	362	28	theorem	theorem	NOUN
ejpam-7067	362	29	3	3	NUM
ejpam-7067	362	30	.	.	PUNCT
ejpam-7067	363	1	the	the	DET
ejpam-7067	363	2	steady	steady	ADJ
ejpam-7067	363	3	dispersion	dispersion	NOUN
ejpam-7067	363	4	∆∞	∆∞	NOUN
ejpam-7067	363	5	is	be	AUX
ejpam-7067	363	6	observed	observe	VERB
ejpam-7067	363	7	to	to	PART
ejpam-7067	363	8	satisfy	satisfy	VERB
ejpam-7067	363	9	∆∞	∆∞	NOUN
ejpam-7067	363	10	≤	≤	NUM
ejpam-7067	363	11	ρ	ρ	PROPN
ejpam-7067	363	12	,	,	PUNCT
ejpam-7067	363	13	validating	validate	VERB
ejpam-7067	363	14	the	the	DET
ejpam-7067	363	15	analytical	analytical	ADJ
ejpam-7067	363	16	bound	bind	VERB
ejpam-7067	363	17	.	.	PUNCT
ejpam-7067	364	1	the	the	DET
ejpam-7067	364	2	presence	presence	NOUN
ejpam-7067	364	3	of	of	ADP
ejpam-7067	364	4	hysteresis	hysteresis	NOUN
ejpam-7067	364	5	effectively	effectively	ADV
ejpam-7067	364	6	suppresses	suppress	VERB
ejpam-7067	364	7	activation	activation	NOUN
ejpam-7067	364	8	chatter	chatter	NOUN
ejpam-7067	364	9	,	,	PUNCT
ejpam-7067	364	10	leading	lead	VERB
ejpam-7067	364	11	to	to	ADP
ejpam-7067	364	12	lower	low	ADJ
ejpam-7067	364	13	control	control	NOUN
ejpam-7067	364	14	energy	energy	NOUN
ejpam-7067	364	15	ju	ju	NOUN
ejpam-7067	364	16	and	and	CCONJ
ejpam-7067	364	17	an	an	DET
ejpam-7067	364	18	average	average	ADJ
ejpam-7067	364	19	activation	activation	NOUN
ejpam-7067	364	20	ratio	ratio	NOUN
ejpam-7067	364	21	ρact	ρact	NOUN
ejpam-7067	365	1	≈	≈	PROPN
ejpam-7067	365	2	0.25	0.25	NUM
ejpam-7067	365	3	.	.	PUNCT
ejpam-7067	366	1	comparative	comparative	ADJ
ejpam-7067	366	2	evaluation	evaluation	NOUN
ejpam-7067	366	3	and	and	CCONJ
ejpam-7067	366	4	discussion	discussion	NOUN
ejpam-7067	366	5	figure	figure	NOUN
ejpam-7067	366	6	5	5	NUM
ejpam-7067	366	7	compares	compare	VERB
ejpam-7067	366	8	the	the	DET
ejpam-7067	366	9	dispersion	dispersion	NOUN
ejpam-7067	366	10	evolution	evolution	NOUN
ejpam-7067	366	11	across	across	ADP
ejpam-7067	366	12	the	the	DET
ejpam-7067	366	13	three	three	NUM
ejpam-7067	366	14	regimes	regime	NOUN
ejpam-7067	366	15	.	.	PUNCT
ejpam-7067	367	1	the	the	DET
ejpam-7067	367	2	unsaturated	unsaturated	ADJ
ejpam-7067	367	3	case	case	NOUN
ejpam-7067	367	4	(	(	PUNCT
ejpam-7067	367	5	blue	blue	ADJ
ejpam-7067	367	6	)	)	PUNCT
ejpam-7067	367	7	exhibits	exhibit	VERB
ejpam-7067	367	8	the	the	DET
ejpam-7067	367	9	fastest	fast	ADJ
ejpam-7067	367	10	exponential	exponential	ADJ
ejpam-7067	367	11	decay	decay	NOUN
ejpam-7067	367	12	toward	toward	ADP
ejpam-7067	367	13	zero	zero	NUM
ejpam-7067	367	14	,	,	PUNCT
ejpam-7067	367	15	consistent	consistent	ADJ
ejpam-7067	367	16	with	with	ADP
ejpam-7067	367	17	the	the	DET
ejpam-7067	367	18	ideal	ideal	ADJ
ejpam-7067	367	19	continuous	continuous	ADJ
ejpam-7067	367	20	flow	flow	NOUN
ejpam-7067	367	21	.	.	PUNCT
ejpam-7067	368	1	the	the	DET
ejpam-7067	368	2	safe	safe	ADJ
ejpam-7067	368	3	-	-	PUNCT
ejpam-7067	368	4	saturation	saturation	NOUN
ejpam-7067	368	5	regime	regime	NOUN
ejpam-7067	368	6	(	(	PUNCT
ejpam-7067	368	7	orange	orange	PROPN
ejpam-7067	368	8	)	)	PUNCT
ejpam-7067	368	9	follows	follow	VERB
ejpam-7067	368	10	nearly	nearly	ADV
ejpam-7067	368	11	identical	identical	ADJ
ejpam-7067	368	12	dynamics	dynamic	NOUN
ejpam-7067	368	13	,	,	PUNCT
ejpam-7067	368	14	indicating	indicate	VERB
ejpam-7067	368	15	that	that	SCONJ
ejpam-7067	368	16	the	the	DET
ejpam-7067	368	17	safe	safe	ADJ
ejpam-7067	368	18	-	-	PUNCT
ejpam-7067	368	19	dispersion	dispersion	NOUN
ejpam-7067	368	20	condition	condition	NOUN
ejpam-7067	368	21	successfully	successfully	ADV
ejpam-7067	368	22	prevents	prevent	VERB
ejpam-7067	368	23	actuator	actuator	NOUN
ejpam-7067	368	24	engagement	engagement	NOUN
ejpam-7067	368	25	.	.	PUNCT
ejpam-7067	369	1	the	the	DET
ejpam-7067	369	2	low	low	ADJ
ejpam-7067	369	3	-	-	PUNCT
ejpam-7067	369	4	gain	gain	NOUN
ejpam-7067	369	5	regime	regime	NOUN
ejpam-7067	369	6	(	(	PUNCT
ejpam-7067	369	7	yellow	yellow	ADJ
ejpam-7067	369	8	)	)	PUNCT
ejpam-7067	369	9	converges	converge	NOUN
ejpam-7067	369	10	to	to	ADP
ejpam-7067	369	11	a	a	DET
ejpam-7067	369	12	finite	finite	ADJ
ejpam-7067	369	13	quasi	quasi	NOUN
ejpam-7067	369	14	-	-	NOUN
ejpam-7067	369	15	band	band	NOUN
ejpam-7067	369	16	whose	whose	DET
ejpam-7067	369	17	radius	radius	NOUN
ejpam-7067	369	18	closely	closely	ADV
ejpam-7067	369	19	matches	match	VERB
ejpam-7067	369	20	the	the	DET
ejpam-7067	369	21	analytical	analytical	ADJ
ejpam-7067	369	22	bound	bind	VERB
ejpam-7067	369	23	ρ	ρ	PROPN
ejpam-7067	369	24	=	=	PUNCT
ejpam-7067	369	25	cqα	cqα	NOUN
ejpam-7067	369	26	(	(	PUNCT
ejpam-7067	369	27	dashed	dash	VERB
ejpam-7067	369	28	line	line	NOUN
ejpam-7067	369	29	)	)	PUNCT
ejpam-7067	369	30	,	,	PUNCT
ejpam-7067	369	31	confirming	confirm	VERB
ejpam-7067	369	32	the	the	DET
ejpam-7067	369	33	predictive	predictive	ADJ
ejpam-7067	369	34	accuracy	accuracy	NOUN
ejpam-7067	369	35	of	of	ADP
ejpam-7067	369	36	the	the	DET
ejpam-7067	369	37	m.	m.	NOUN
ejpam-7067	369	38	donganont	donganont	PROPN
ejpam-7067	369	39	et	et	PROPN
ejpam-7067	369	40	al	al	PROPN
ejpam-7067	369	41	.	.	PUNCT
ejpam-7067	369	42	/	/	SYM
ejpam-7067	369	43	eur	eur	PROPN
ejpam-7067	369	44	.	.	PUNCT
ejpam-7067	370	1	j.	j.	PROPN
ejpam-7067	370	2	pure	pure	PROPN
ejpam-7067	370	3	appl	appl	PROPN
ejpam-7067	370	4	.	.	PROPN
ejpam-7067	370	5	math	math	PROPN
ejpam-7067	370	6	,	,	PUNCT
ejpam-7067	370	7	18	18	NUM
ejpam-7067	370	8	(	(	PUNCT
ejpam-7067	370	9	4	4	NUM
ejpam-7067	370	10	)	)	PUNCT
ejpam-7067	370	11	(	(	PUNCT
ejpam-7067	370	12	2025	2025	NUM
ejpam-7067	370	13	)	)	PUNCT
ejpam-7067	370	14	,	,	PUNCT
ejpam-7067	370	15	7067	7067	NUM
ejpam-7067	370	16	19	19	NUM
ejpam-7067	370	17	of	of	ADP
ejpam-7067	370	18	22	22	NUM
ejpam-7067	370	19	figure	figure	NOUN
ejpam-7067	370	20	4	4	NUM
ejpam-7067	370	21	:	:	PUNCT
ejpam-7067	370	22	low	low	ADJ
ejpam-7067	370	23	-	-	PUNCT
ejpam-7067	370	24	gain	gain	NOUN
ejpam-7067	370	25	saturated	saturate	VERB
ejpam-7067	370	26	protocol	protocol	NOUN
ejpam-7067	370	27	beyond	beyond	ADP
ejpam-7067	370	28	the	the	DET
ejpam-7067	370	29	safe	safe	ADJ
ejpam-7067	370	30	domain	domain	NOUN
ejpam-7067	370	31	(	(	PUNCT
ejpam-7067	370	32	ε	ε	X
ejpam-7067	370	33	=	=	NOUN
ejpam-7067	370	34	0.25	0.25	NUM
ejpam-7067	370	35	)	)	PUNCT
ejpam-7067	370	36	.	.	PUNCT
ejpam-7067	371	1	when	when	SCONJ
ejpam-7067	371	2	the	the	DET
ejpam-7067	371	3	initial	initial	ADJ
ejpam-7067	371	4	dispersion	dispersion	NOUN
ejpam-7067	371	5	violates	violate	VERB
ejpam-7067	371	6	the	the	DET
ejpam-7067	371	7	safety	safety	NOUN
ejpam-7067	371	8	condition	condition	NOUN
ejpam-7067	371	9	,	,	PUNCT
ejpam-7067	371	10	a	a	DET
ejpam-7067	371	11	low	low	ADJ
ejpam-7067	371	12	-	-	PUNCT
ejpam-7067	371	13	gain	gain	NOUN
ejpam-7067	371	14	factor	factor	NOUN
ejpam-7067	371	15	limits	limit	VERB
ejpam-7067	371	16	the	the	DET
ejpam-7067	371	17	control	control	NOUN
ejpam-7067	371	18	input	input	NOUN
ejpam-7067	371	19	,	,	PUNCT
ejpam-7067	371	20	producing	produce	VERB
ejpam-7067	371	21	bounded	bounded	ADJ
ejpam-7067	371	22	quasi	quasi	NOUN
ejpam-7067	371	23	-	-	NOUN
ejpam-7067	371	24	consensus	consensus	NOUN
ejpam-7067	371	25	.	.	PUNCT
ejpam-7067	372	1	all	all	DET
ejpam-7067	372	2	trajectories	trajectory	NOUN
ejpam-7067	372	3	remain	remain	VERB
ejpam-7067	372	4	within	within	ADP
ejpam-7067	372	5	the	the	DET
ejpam-7067	372	6	invariant	invariant	ADJ
ejpam-7067	372	7	band	band	NOUN
ejpam-7067	372	8	bρ	bρ	VERB
ejpam-7067	372	9	of	of	ADP
ejpam-7067	372	10	radius	radius	PROPN
ejpam-7067	372	11	ρ	ρ	PROPN
ejpam-7067	372	12	=	=	PUNCT
ejpam-7067	372	13	cqα	cqα	NOUN
ejpam-7067	372	14	,	,	PUNCT
ejpam-7067	372	15	as	as	SCONJ
ejpam-7067	372	16	established	establish	VERB
ejpam-7067	372	17	in	in	ADP
ejpam-7067	372	18	theorem	theorem	NOUN
ejpam-7067	372	19	3	3	NUM
ejpam-7067	372	20	.	.	PUNCT
ejpam-7067	372	21	hysteresis	hysteresis	NOUN
ejpam-7067	372	22	effectively	effectively	ADV
ejpam-7067	372	23	suppresses	suppress	VERB
ejpam-7067	372	24	activation	activation	NOUN
ejpam-7067	372	25	chatter	chatter	NOUN
ejpam-7067	372	26	.	.	PUNCT
ejpam-7067	373	1	theoretical	theoretical	ADJ
ejpam-7067	373	2	estimate	estimate	NOUN
ejpam-7067	373	3	.	.	PUNCT
ejpam-7067	374	1	overall	overall	ADV
ejpam-7067	374	2	,	,	PUNCT
ejpam-7067	374	3	the	the	DET
ejpam-7067	374	4	simulation	simulation	NOUN
ejpam-7067	374	5	outcomes	outcome	NOUN
ejpam-7067	374	6	demonstrate	demonstrate	VERB
ejpam-7067	374	7	excellent	excellent	ADJ
ejpam-7067	374	8	agreement	agreement	NOUN
ejpam-7067	374	9	with	with	ADP
ejpam-7067	374	10	the	the	DET
ejpam-7067	374	11	theoretical	theoretical	ADJ
ejpam-7067	374	12	analysis	analysis	NOUN
ejpam-7067	374	13	.	.	PUNCT
ejpam-7067	375	1	the	the	DET
ejpam-7067	375	2	unsaturated	unsaturated	ADJ
ejpam-7067	375	3	and	and	CCONJ
ejpam-7067	375	4	safe	safe	ADJ
ejpam-7067	375	5	-	-	PUNCT
ejpam-7067	375	6	saturation	saturation	NOUN
ejpam-7067	375	7	regimes	regime	NOUN
ejpam-7067	375	8	achieve	achieve	VERB
ejpam-7067	375	9	exact	exact	ADJ
ejpam-7067	375	10	scaled	scale	VERB
ejpam-7067	375	11	consensus	consensus	NOUN
ejpam-7067	375	12	,	,	PUNCT
ejpam-7067	375	13	whereas	whereas	SCONJ
ejpam-7067	375	14	the	the	DET
ejpam-7067	375	15	low	low	ADJ
ejpam-7067	375	16	-	-	PUNCT
ejpam-7067	375	17	gain	gain	NOUN
ejpam-7067	375	18	scenario	scenario	NOUN
ejpam-7067	375	19	yields	yield	NOUN
ejpam-7067	375	20	bounded	bound	VERB
ejpam-7067	375	21	quasi	quasi	NOUN
ejpam-7067	375	22	-	-	NOUN
ejpam-7067	375	23	consensus	consensus	NOUN
ejpam-7067	375	24	with	with	ADP
ejpam-7067	375	25	predictable	predictable	ADJ
ejpam-7067	375	26	steadystate	steadystate	ADJ
ejpam-7067	375	27	dispersion	dispersion	NOUN
ejpam-7067	375	28	.	.	PUNCT
ejpam-7067	376	1	the	the	DET
ejpam-7067	376	2	introduction	introduction	NOUN
ejpam-7067	376	3	of	of	ADP
ejpam-7067	376	4	hysteretic	hysteretic	ADJ
ejpam-7067	376	5	thresholding	thresholding	NOUN
ejpam-7067	376	6	and	and	CCONJ
ejpam-7067	376	7	saturation	saturation	NOUN
ejpam-7067	376	8	reduces	reduce	VERB
ejpam-7067	376	9	activation	activation	NOUN
ejpam-7067	376	10	frequency	frequency	NOUN
ejpam-7067	376	11	and	and	CCONJ
ejpam-7067	376	12	control	control	NOUN
ejpam-7067	376	13	energy	energy	NOUN
ejpam-7067	376	14	while	while	SCONJ
ejpam-7067	376	15	maintaining	maintain	VERB
ejpam-7067	376	16	stability	stability	NOUN
ejpam-7067	376	17	and	and	CCONJ
ejpam-7067	376	18	robustness	robustness	NOUN
ejpam-7067	376	19	.	.	PUNCT
ejpam-7067	377	1	these	these	DET
ejpam-7067	377	2	results	result	NOUN
ejpam-7067	377	3	confirm	confirm	VERB
ejpam-7067	377	4	both	both	CCONJ
ejpam-7067	377	5	the	the	DET
ejpam-7067	377	6	analytical	analytical	ADJ
ejpam-7067	377	7	soundness	soundness	NOUN
ejpam-7067	377	8	and	and	CCONJ
ejpam-7067	377	9	the	the	DET
ejpam-7067	377	10	practical	practical	ADJ
ejpam-7067	377	11	applicability	applicability	NOUN
ejpam-7067	377	12	of	of	ADP
ejpam-7067	377	13	the	the	DET
ejpam-7067	377	14	proposed	propose	VERB
ejpam-7067	377	15	threshold	threshold	NOUN
ejpam-7067	377	16	-	-	PUNCT
ejpam-7067	377	17	based	base	VERB
ejpam-7067	377	18	scaled	scale	VERB
ejpam-7067	377	19	edge	edge	NOUN
ejpam-7067	377	20	consensus	consensus	NOUN
ejpam-7067	377	21	framework	framework	NOUN
ejpam-7067	377	22	.	.	PUNCT
ejpam-7067	378	1	6	6	X
ejpam-7067	378	2	.	.	X
ejpam-7067	378	3	conclusions	conclusion	NOUN
ejpam-7067	378	4	this	this	DET
ejpam-7067	378	5	study	study	NOUN
ejpam-7067	378	6	developed	develop	VERB
ejpam-7067	378	7	a	a	DET
ejpam-7067	378	8	distributed	distribute	VERB
ejpam-7067	378	9	threshold	threshold	NOUN
ejpam-7067	378	10	-	-	PUNCT
ejpam-7067	378	11	based	base	VERB
ejpam-7067	378	12	protocol	protocol	NOUN
ejpam-7067	378	13	for	for	ADP
ejpam-7067	378	14	scaled	scale	VERB
ejpam-7067	378	15	edge	edge	NOUN
ejpam-7067	378	16	coordination	coordination	NOUN
ejpam-7067	378	17	in	in	ADP
ejpam-7067	378	18	strongly	strongly	ADV
ejpam-7067	378	19	connected	connect	VERB
ejpam-7067	378	20	directed	direct	VERB
ejpam-7067	378	21	multi	multi	ADJ
ejpam-7067	378	22	-	-	ADJ
ejpam-7067	378	23	agent	agent	ADJ
ejpam-7067	378	24	systems	system	NOUN
ejpam-7067	378	25	subject	subject	ADJ
ejpam-7067	378	26	to	to	ADP
ejpam-7067	378	27	input	input	NOUN
ejpam-7067	378	28	saturation	saturation	NOUN
ejpam-7067	378	29	.	.	PUNCT
ejpam-7067	379	1	formulated	formulate	VERB
ejpam-7067	379	2	on	on	ADP
ejpam-7067	379	3	the	the	DET
ejpam-7067	379	4	line	line	NOUN
ejpam-7067	379	5	digraph	digraph	NOUN
ejpam-7067	379	6	with	with	ADP
ejpam-7067	379	7	heterogeneous	heterogeneous	ADJ
ejpam-7067	379	8	edge	edge	NOUN
ejpam-7067	379	9	scaling	scaling	NOUN
ejpam-7067	379	10	,	,	PUNCT
ejpam-7067	379	11	the	the	DET
ejpam-7067	379	12	proposed	propose	VERB
ejpam-7067	379	13	framework	framework	NOUN
ejpam-7067	379	14	unifies	unify	VERB
ejpam-7067	379	15	three	three	NUM
ejpam-7067	379	16	operational	operational	ADJ
ejpam-7067	379	17	regimes	regime	NOUN
ejpam-7067	379	18	within	within	ADP
ejpam-7067	379	19	a	a	DET
ejpam-7067	379	20	single	single	ADJ
ejpam-7067	379	21	analytical	analytical	ADJ
ejpam-7067	379	22	structure	structure	NOUN
ejpam-7067	379	23	.	.	PUNCT
ejpam-7067	380	1	in	in	ADP
ejpam-7067	380	2	the	the	DET
ejpam-7067	380	3	unsaturated	unsaturated	ADJ
ejpam-7067	380	4	case	case	NOUN
ejpam-7067	380	5	,	,	PUNCT
ejpam-7067	380	6	global	global	ADJ
ejpam-7067	380	7	scaled	scale	VERB
ejpam-7067	380	8	consensus	consensus	NOUN
ejpam-7067	380	9	is	be	AUX
ejpam-7067	380	10	achieved	achieve	VERB
ejpam-7067	380	11	with	with	ADP
ejpam-7067	380	12	exponential	exponential	ADJ
ejpam-7067	380	13	convergence	convergence	NOUN
ejpam-7067	380	14	.	.	PUNCT
ejpam-7067	381	1	under	under	ADP
ejpam-7067	381	2	actuator	actuator	NOUN
ejpam-7067	381	3	constraints	constraint	NOUN
ejpam-7067	381	4	,	,	PUNCT
ejpam-7067	381	5	verifiable	verifiable	ADJ
ejpam-7067	381	6	safe	safe	ADJ
ejpam-7067	381	7	-	-	PUNCT
ejpam-7067	381	8	dispersion	dispersion	NOUN
ejpam-7067	381	9	certificates	certificate	NOUN
ejpam-7067	381	10	guarantee	guarantee	VERB
ejpam-7067	381	11	that	that	SCONJ
ejpam-7067	381	12	consensus	consensus	NOUN
ejpam-7067	381	13	is	be	AUX
ejpam-7067	381	14	preserved	preserve	VERB
ejpam-7067	381	15	,	,	PUNCT
ejpam-7067	381	16	while	while	SCONJ
ejpam-7067	381	17	in	in	ADP
ejpam-7067	381	18	high	high	ADJ
ejpam-7067	381	19	-	-	PUNCT
ejpam-7067	381	20	dispersion	dispersion	NOUN
ejpam-7067	381	21	conditions	condition	NOUN
ejpam-7067	381	22	,	,	PUNCT
ejpam-7067	381	23	a	a	DET
ejpam-7067	381	24	low	low	ADJ
ejpam-7067	381	25	-	-	PUNCT
ejpam-7067	381	26	gain	gain	NOUN
ejpam-7067	381	27	variant	variant	NOUN
ejpam-7067	381	28	ensures	ensure	NOUN
ejpam-7067	381	29	bounded	bound	VERB
ejpam-7067	381	30	quasi	quasi	NOUN
ejpam-7067	381	31	-	-	NOUN
ejpam-7067	381	32	consensus	consensus	NOUN
ejpam-7067	381	33	with	with	ADP
ejpam-7067	381	34	an	an	DET
ejpam-7067	381	35	explicitly	explicitly	ADV
ejpam-7067	381	36	defined	define	VERB
ejpam-7067	381	37	accuracy	accuracy	NOUN
ejpam-7067	381	38	band	band	NOUN
ejpam-7067	381	39	ρ	ρ	NOUN
ejpam-7067	381	40	=	=	NOUN
ejpam-7067	381	41	cqα	cqα	NOUN
ejpam-7067	381	42	.	.	PUNCT
ejpam-7067	382	1	the	the	DET
ejpam-7067	382	2	analysis	analysis	NOUN
ejpam-7067	382	3	integrated	integrate	VERB
ejpam-7067	382	4	lyapunov	lyapunov	NOUN
ejpam-7067	382	5	and	and	CCONJ
ejpam-7067	382	6	invariance	invariance	NOUN
ejpam-7067	382	7	arguments	argument	NOUN
ejpam-7067	382	8	with	with	ADP
ejpam-7067	382	9	the	the	DET
ejpam-7067	382	10	metzler	metzler	NOUN
ejpam-7067	382	11	and	and	CCONJ
ejpam-7067	382	12	edge	edge	NOUN
ejpam-7067	382	13	-	-	PUNCT
ejpam-7067	382	14	laplacian	laplacian	ADJ
ejpam-7067	382	15	structure	structure	NOUN
ejpam-7067	382	16	to	to	PART
ejpam-7067	382	17	establish	establish	VERB
ejpam-7067	382	18	convergence	convergence	NOUN
ejpam-7067	382	19	and	and	CCONJ
ejpam-7067	382	20	well	well	ADV
ejpam-7067	382	21	-	-	PUNCT
ejpam-7067	382	22	posedness	posedness	NOUN
ejpam-7067	382	23	under	under	ADP
ejpam-7067	382	24	carathéodory	carathéodory	ADJ
ejpam-7067	382	25	–	–	PUNCT
ejpam-7067	382	26	filippov	filippov	ADJ
ejpam-7067	382	27	dynamics	dynamic	NOUN
ejpam-7067	382	28	.	.	PUNCT
ejpam-7067	383	1	numerical	numerical	ADJ
ejpam-7067	383	2	experiments	experiment	NOUN
ejpam-7067	383	3	on	on	ADP
ejpam-7067	383	4	a	a	DET
ejpam-7067	383	5	10	10	NUM
ejpam-7067	383	6	-	-	PUNCT
ejpam-7067	383	7	node	node	NOUN
ejpam-7067	383	8	,	,	PUNCT
ejpam-7067	383	9	18	18	NUM
ejpam-7067	383	10	-	-	PUNCT
ejpam-7067	383	11	edge	edge	NOUN
ejpam-7067	383	12	directed	direct	VERB
ejpam-7067	383	13	network	network	NOUN
ejpam-7067	383	14	confirmed	confirm	VERB
ejpam-7067	383	15	the	the	DET
ejpam-7067	383	16	theoretical	theoretical	ADJ
ejpam-7067	383	17	predictions	prediction	NOUN
ejpam-7067	383	18	and	and	CCONJ
ejpam-7067	383	19	m.	m.	NOUN
ejpam-7067	383	20	donganont	donganont	PROPN
ejpam-7067	383	21	et	et	PROPN
ejpam-7067	383	22	al	al	PROPN
ejpam-7067	383	23	.	.	PUNCT
ejpam-7067	383	24	/	/	SYM
ejpam-7067	383	25	eur	eur	PROPN
ejpam-7067	383	26	.	.	PUNCT
ejpam-7067	384	1	j.	j.	PROPN
ejpam-7067	384	2	pure	pure	PROPN
ejpam-7067	384	3	appl	appl	PROPN
ejpam-7067	384	4	.	.	PROPN
ejpam-7067	384	5	math	math	PROPN
ejpam-7067	384	6	,	,	PUNCT
ejpam-7067	384	7	18	18	NUM
ejpam-7067	384	8	(	(	PUNCT
ejpam-7067	384	9	4	4	NUM
ejpam-7067	384	10	)	)	PUNCT
ejpam-7067	384	11	(	(	PUNCT
ejpam-7067	384	12	2025	2025	NUM
ejpam-7067	384	13	)	)	PUNCT
ejpam-7067	384	14	,	,	PUNCT
ejpam-7067	384	15	7067	7067	NUM
ejpam-7067	384	16	20	20	NUM
ejpam-7067	384	17	of	of	ADP
ejpam-7067	384	18	22	22	NUM
ejpam-7067	384	19	illustrated	illustrate	VERB
ejpam-7067	384	20	the	the	DET
ejpam-7067	384	21	inherent	inherent	ADJ
ejpam-7067	384	22	trade	trade	NOUN
ejpam-7067	384	23	-	-	PUNCT
ejpam-7067	384	24	offs	off	NOUN
ejpam-7067	384	25	among	among	ADP
ejpam-7067	384	26	convergence	convergence	NOUN
ejpam-7067	384	27	rate	rate	NOUN
ejpam-7067	384	28	,	,	PUNCT
ejpam-7067	384	29	activation	activation	NOUN
ejpam-7067	384	30	efficiency	efficiency	NOUN
ejpam-7067	384	31	,	,	PUNCT
ejpam-7067	384	32	and	and	CCONJ
ejpam-7067	384	33	energy	energy	NOUN
ejpam-7067	384	34	usage	usage	NOUN
ejpam-7067	384	35	.	.	PUNCT
ejpam-7067	385	1	the	the	DET
ejpam-7067	385	2	results	result	NOUN
ejpam-7067	385	3	demonstrate	demonstrate	VERB
ejpam-7067	385	4	that	that	SCONJ
ejpam-7067	385	5	hysteretic	hysteretic	ADJ
ejpam-7067	385	6	thresholding	thresholding	NOUN
ejpam-7067	385	7	effectively	effectively	ADV
ejpam-7067	385	8	suppresses	suppress	VERB
ejpam-7067	385	9	activation	activation	NOUN
ejpam-7067	385	10	chatter	chatter	NOUN
ejpam-7067	385	11	and	and	CCONJ
ejpam-7067	385	12	enhances	enhance	VERB
ejpam-7067	385	13	robustness	robustness	NOUN
ejpam-7067	385	14	without	without	ADP
ejpam-7067	385	15	sacrificing	sacrifice	VERB
ejpam-7067	385	16	stability	stability	NOUN
ejpam-7067	385	17	.	.	PUNCT
ejpam-7067	386	1	future	future	ADJ
ejpam-7067	386	2	work	work	NOUN
ejpam-7067	386	3	will	will	AUX
ejpam-7067	386	4	extend	extend	VERB
ejpam-7067	386	5	the	the	DET
ejpam-7067	386	6	proposed	propose	VERB
ejpam-7067	386	7	framework	framework	NOUN
ejpam-7067	386	8	to	to	ADP
ejpam-7067	386	9	hybrid	hybrid	NOUN
ejpam-7067	386	10	-	-	PUNCT
ejpam-7067	386	11	time	time	NOUN
ejpam-7067	386	12	and	and	CCONJ
ejpam-7067	386	13	event	event	NOUN
ejpam-7067	386	14	-	-	PUNCT
ejpam-7067	386	15	triggered	trigger	VERB
ejpam-7067	386	16	implementations	implementation	NOUN
ejpam-7067	386	17	,	,	PUNCT
ejpam-7067	386	18	adaptive	adaptive	ADJ
ejpam-7067	386	19	gain	gain	NOUN
ejpam-7067	386	20	design	design	NOUN
ejpam-7067	386	21	,	,	PUNCT
ejpam-7067	386	22	and	and	CCONJ
ejpam-7067	386	23	switching	switch	VERB
ejpam-7067	386	24	or	or	CCONJ
ejpam-7067	386	25	stochastic	stochastic	ADJ
ejpam-7067	386	26	topologies	topology	NOUN
ejpam-7067	386	27	.	.	PUNCT
ejpam-7067	387	1	acknowledgements	acknowledgement	NOUN
ejpam-7067	387	2	this	this	DET
ejpam-7067	387	3	research	research	NOUN
ejpam-7067	387	4	was	be	AUX
ejpam-7067	387	5	supported	support	VERB
ejpam-7067	387	6	by	by	ADP
ejpam-7067	387	7	the	the	DET
ejpam-7067	387	8	university	university	NOUN
ejpam-7067	387	9	of	of	ADP
ejpam-7067	387	10	phayao	phayao	NOUN
ejpam-7067	387	11	and	and	CCONJ
ejpam-7067	387	12	the	the	DET
ejpam-7067	387	13	thailand	thailand	PROPN
ejpam-7067	387	14	science	science	PROPN
ejpam-7067	387	15	research	research	PROPN
ejpam-7067	387	16	and	and	CCONJ
ejpam-7067	387	17	innovation	innovation	NOUN
ejpam-7067	387	18	fund	fund	NOUN
ejpam-7067	387	19	(	(	PUNCT
ejpam-7067	387	20	fundamental	fundamental	ADJ
ejpam-7067	387	21	fund	fund	NOUN
ejpam-7067	387	22	2026	2026	NUM
ejpam-7067	387	23	,	,	PUNCT
ejpam-7067	387	24	grant	grant	VERB
ejpam-7067	387	25	no	no	PRON
ejpam-7067	387	26	.	.	NOUN
ejpam-7067	388	1	2xxx	2xxx	NUM
ejpam-7067	388	2	)	)	PUNCT
ejpam-7067	388	3	.	.	PUNCT
ejpam-7067	389	1	references	reference	NOUN
ejpam-7067	389	2	[	[	X
ejpam-7067	389	3	1	1	NUM
ejpam-7067	389	4	]	]	X
ejpam-7067	389	5	r.	r.	PROPN
ejpam-7067	389	6	olfati	olfati	PROPN
ejpam-7067	389	7	-	-	PUNCT
ejpam-7067	389	8	saber	saber	NOUN
ejpam-7067	389	9	.	.	PUNCT
ejpam-7067	390	1	flocking	flock	VERB
ejpam-7067	390	2	for	for	ADP
ejpam-7067	390	3	multi	multi	ADJ
ejpam-7067	390	4	-	-	ADJ
ejpam-7067	390	5	agent	agent	ADJ
ejpam-7067	390	6	dynamic	dynamic	ADJ
ejpam-7067	390	7	systems	system	NOUN
ejpam-7067	390	8	:	:	PUNCT
ejpam-7067	390	9	algorithms	algorithm	NOUN
ejpam-7067	390	10	and	and	CCONJ
ejpam-7067	390	11	theory	theory	NOUN
ejpam-7067	390	12	.	.	PUNCT
ejpam-7067	391	1	ieee	ieee	NOUN
ejpam-7067	391	2	transactions	transaction	NOUN
ejpam-7067	391	3	on	on	ADP
ejpam-7067	391	4	automatic	automatic	ADJ
ejpam-7067	391	5	control	control	NOUN
ejpam-7067	391	6	,	,	PUNCT
ejpam-7067	391	7	51(3):401–420	51(3):401–420	PROPN
ejpam-7067	391	8	,	,	PUNCT
ejpam-7067	391	9	march	march	PROPN
ejpam-7067	391	10	2006	2006	NUM
ejpam-7067	391	11	.	.	PUNCT
ejpam-7067	392	1	[	[	X
ejpam-7067	392	2	2	2	X
ejpam-7067	392	3	]	]	PUNCT
ejpam-7067	392	4	xiaoling	xiaoling	PROPN
ejpam-7067	392	5	wang	wang	PROPN
ejpam-7067	392	6	,	,	PUNCT
ejpam-7067	392	7	housheng	housheng	PROPN
ejpam-7067	392	8	su	su	PROPN
ejpam-7067	392	9	,	,	PUNCT
ejpam-7067	392	10	xiaofan	xiaofan	PROPN
ejpam-7067	392	11	wang	wang	PROPN
ejpam-7067	392	12	,	,	PUNCT
ejpam-7067	392	13	and	and	CCONJ
ejpam-7067	392	14	guanrong	guanrong	PROPN
ejpam-7067	392	15	chen	chen	PROPN
ejpam-7067	392	16	.	.	PUNCT
ejpam-7067	393	1	nonnegative	nonnegative	PROPN
ejpam-7067	393	2	edge	edge	NOUN
ejpam-7067	393	3	quasi	quasi	NOUN
ejpam-7067	393	4	-	-	NOUN
ejpam-7067	393	5	consensus	consensus	NOUN
ejpam-7067	393	6	of	of	ADP
ejpam-7067	393	7	networked	networked	ADJ
ejpam-7067	393	8	dynamical	dynamical	ADJ
ejpam-7067	393	9	systems	system	NOUN
ejpam-7067	393	10	.	.	PUNCT
ejpam-7067	394	1	ieee	ieee	NOUN
ejpam-7067	394	2	transactions	transaction	NOUN
ejpam-7067	394	3	on	on	ADP
ejpam-7067	394	4	circuits	circuit	NOUN
ejpam-7067	394	5	and	and	CCONJ
ejpam-7067	394	6	systems	system	NOUN
ejpam-7067	394	7	ii	ii	PROPN
ejpam-7067	394	8	:	:	PUNCT
ejpam-7067	394	9	express	express	VERB
ejpam-7067	394	10	briefs	brief	NOUN
ejpam-7067	394	11	,	,	PUNCT
ejpam-7067	394	12	64(3):304–308	64(3):304–308	NOUN
ejpam-7067	394	13	,	,	PUNCT
ejpam-7067	394	14	2016	2016	NUM
ejpam-7067	394	15	.	.	PUNCT
ejpam-7067	395	1	[	[	X
ejpam-7067	395	2	3	3	X
ejpam-7067	395	3	]	]	X
ejpam-7067	395	4	housheng	housheng	PROPN
ejpam-7067	395	5	su	su	PROPN
ejpam-7067	395	6	,	,	PUNCT
ejpam-7067	395	7	han	han	PROPN
ejpam-7067	395	8	wu	wu	PROPN
ejpam-7067	395	9	,	,	PUNCT
ejpam-7067	395	10	xia	xia	PROPN
ejpam-7067	395	11	chen	chen	PROPN
ejpam-7067	395	12	,	,	PUNCT
ejpam-7067	395	13	and	and	CCONJ
ejpam-7067	395	14	michael	michael	PROPN
ejpam-7067	395	15	zq	zq	PROPN
ejpam-7067	395	16	chen	chen	PROPN
ejpam-7067	395	17	.	.	PUNCT
ejpam-7067	396	1	positive	positive	ADJ
ejpam-7067	396	2	edge	edge	NOUN
ejpam-7067	396	3	consensus	consensus	NOUN
ejpam-7067	396	4	of	of	ADP
ejpam-7067	396	5	complex	complex	ADJ
ejpam-7067	396	6	networks	network	NOUN
ejpam-7067	396	7	.	.	PUNCT
ejpam-7067	397	1	ieee	ieee	NOUN
ejpam-7067	397	2	transactions	transaction	NOUN
ejpam-7067	397	3	on	on	ADP
ejpam-7067	397	4	systems	system	NOUN
ejpam-7067	397	5	,	,	PUNCT
ejpam-7067	397	6	man	man	NOUN
ejpam-7067	397	7	,	,	PUNCT
ejpam-7067	397	8	and	and	CCONJ
ejpam-7067	397	9	cybernetics	cybernetic	NOUN
ejpam-7067	397	10	:	:	PUNCT
ejpam-7067	397	11	systems	system	NOUN
ejpam-7067	397	12	,	,	PUNCT
ejpam-7067	397	13	48(12):2242–2250	48(12):2242–2250	PROPN
ejpam-7067	397	14	,	,	PUNCT
ejpam-7067	397	15	2017	2017	NUM
ejpam-7067	397	16	.	.	PUNCT
ejpam-7067	398	1	[	[	X
ejpam-7067	398	2	4	4	NUM
ejpam-7067	398	3	]	]	X
ejpam-7067	398	4	yukang	yukang	NOUN
ejpam-7067	398	5	cui	cui	PROPN
ejpam-7067	398	6	,	,	PUNCT
ejpam-7067	398	7	nachuan	nachuan	PROPN
ejpam-7067	398	8	yang	yang	PROPN
ejpam-7067	398	9	,	,	PUNCT
ejpam-7067	398	10	and	and	CCONJ
ejpam-7067	398	11	jason	jason	PROPN
ejpam-7067	398	12	jr	jr	PROPN
ejpam-7067	398	13	liu	liu	PROPN
ejpam-7067	398	14	.	.	PUNCT
ejpam-7067	399	1	a	a	DET
ejpam-7067	399	2	novel	novel	ADJ
ejpam-7067	399	3	approach	approach	NOUN
ejpam-7067	399	4	for	for	ADP
ejpam-7067	399	5	positive	positive	ADJ
ejpam-7067	399	6	edge	edge	NOUN
ejpam-7067	399	7	consensus	consensus	NOUN
ejpam-7067	399	8	of	of	ADP
ejpam-7067	399	9	nodal	nodal	NOUN
ejpam-7067	399	10	networks	network	NOUN
ejpam-7067	399	11	.	.	PUNCT
ejpam-7067	400	1	journal	journal	NOUN
ejpam-7067	400	2	of	of	ADP
ejpam-7067	400	3	the	the	DET
ejpam-7067	400	4	franklin	franklin	PROPN
ejpam-7067	400	5	institute	institute	PROPN
ejpam-7067	400	6	,	,	PUNCT
ejpam-7067	400	7	357(7):4349–4362	357(7):4349–4362	PROPN
ejpam-7067	400	8	,	,	PUNCT
ejpam-7067	400	9	2020	2020	NUM
ejpam-7067	400	10	.	.	PUNCT
ejpam-7067	401	1	[	[	X
ejpam-7067	401	2	5	5	NUM
ejpam-7067	401	3	]	]	X
ejpam-7067	401	4	han	han	PROPN
ejpam-7067	401	5	wu	wu	PROPN
ejpam-7067	401	6	and	and	CCONJ
ejpam-7067	401	7	housheng	housheng	PROPN
ejpam-7067	401	8	su	su	PROPN
ejpam-7067	401	9	.	.	PROPN
ejpam-7067	401	10	positive	positive	ADJ
ejpam-7067	401	11	edge	edge	NOUN
ejpam-7067	401	12	consensus	consensus	NOUN
ejpam-7067	401	13	of	of	ADP
ejpam-7067	401	14	networked	networked	ADJ
ejpam-7067	401	15	systems	system	NOUN
ejpam-7067	401	16	with	with	ADP
ejpam-7067	401	17	input	input	NOUN
ejpam-7067	401	18	saturation	saturation	NOUN
ejpam-7067	401	19	.	.	PUNCT
ejpam-7067	402	1	isa	isa	NOUN
ejpam-7067	402	2	transactions	transaction	NOUN
ejpam-7067	402	3	,	,	PUNCT
ejpam-7067	402	4	96:210–217	96:210–217	NUM
ejpam-7067	402	5	,	,	PUNCT
ejpam-7067	402	6	2020	2020	NUM
ejpam-7067	402	7	.	.	PUNCT
ejpam-7067	403	1	[	[	X
ejpam-7067	403	2	6	6	NUM
ejpam-7067	403	3	]	]	PUNCT
ejpam-7067	403	4	boda	boda	NOUN
ejpam-7067	403	5	ning	ning	NOUN
ejpam-7067	403	6	,	,	PUNCT
ejpam-7067	403	7	qing	qing	NOUN
ejpam-7067	403	8	-	-	PUNCT
ejpam-7067	403	9	long	long	ADJ
ejpam-7067	403	10	han	han	PROPN
ejpam-7067	403	11	,	,	PUNCT
ejpam-7067	403	12	and	and	CCONJ
ejpam-7067	403	13	zongyu	zongyu	PROPN
ejpam-7067	403	14	zuo	zuo	PROPN
ejpam-7067	403	15	.	.	PUNCT
ejpam-7067	403	16	distributed	distribute	VERB
ejpam-7067	403	17	optimization	optimization	NOUN
ejpam-7067	403	18	for	for	ADP
ejpam-7067	403	19	multiagent	multiagent	NOUN
ejpam-7067	403	20	systems	system	NOUN
ejpam-7067	403	21	:	:	PUNCT
ejpam-7067	403	22	an	an	DET
ejpam-7067	403	23	edge	edge	NOUN
ejpam-7067	403	24	-	-	PUNCT
ejpam-7067	403	25	based	base	VERB
ejpam-7067	403	26	fixed	fix	VERB
ejpam-7067	403	27	-	-	PUNCT
ejpam-7067	403	28	time	time	NOUN
ejpam-7067	403	29	consensus	consensus	NOUN
ejpam-7067	403	30	approach	approach	NOUN
ejpam-7067	403	31	.	.	PUNCT
ejpam-7067	404	1	ieee	ieee	NOUN
ejpam-7067	404	2	transactions	transaction	NOUN
ejpam-7067	404	3	on	on	ADP
ejpam-7067	404	4	cybernetics	cybernetic	NOUN
ejpam-7067	404	5	,	,	PUNCT
ejpam-7067	404	6	49(1):122–132	49(1):122–132	PROPN
ejpam-7067	404	7	,	,	PUNCT
ejpam-7067	404	8	2017	2017	NUM
ejpam-7067	404	9	.	.	PUNCT
ejpam-7067	405	1	[	[	X
ejpam-7067	405	2	7	7	NUM
ejpam-7067	405	3	]	]	X
ejpam-7067	405	4	ayush	ayush	PROPN
ejpam-7067	405	5	rai	rai	NOUN
ejpam-7067	405	6	and	and	CCONJ
ejpam-7067	405	7	shaoshuai	shaoshuai	PROPN
ejpam-7067	405	8	mou	mou	PROPN
ejpam-7067	405	9	.	.	PUNCT
ejpam-7067	406	1	distributed	distribute	VERB
ejpam-7067	406	2	algorithms	algorithm	NOUN
ejpam-7067	406	3	for	for	ADP
ejpam-7067	406	4	edge	edge	NOUN
ejpam-7067	406	5	-	-	PUNCT
ejpam-7067	406	6	agreements	agreement	NOUN
ejpam-7067	406	7	:	:	PUNCT
ejpam-7067	406	8	more	more	ADJ
ejpam-7067	406	9	than	than	ADP
ejpam-7067	406	10	consensus	consensus	NOUN
ejpam-7067	406	11	.	.	PUNCT
ejpam-7067	407	1	in	in	ADP
ejpam-7067	407	2	2023	2023	NUM
ejpam-7067	407	3	62nd	62nd	NOUN
ejpam-7067	407	4	ieee	ieee	NOUN
ejpam-7067	407	5	conference	conference	NOUN
ejpam-7067	407	6	on	on	ADP
ejpam-7067	407	7	decision	decision	NOUN
ejpam-7067	407	8	and	and	CCONJ
ejpam-7067	407	9	control	control	NOUN
ejpam-7067	407	10	(	(	PUNCT
ejpam-7067	407	11	cdc	cdc	PROPN
ejpam-7067	407	12	)	)	PUNCT
ejpam-7067	407	13	,	,	PUNCT
ejpam-7067	407	14	pages	page	NOUN
ejpam-7067	407	15	4417–4422	4417–4422	NUM
ejpam-7067	407	16	.	.	PUNCT
ejpam-7067	408	1	ieee	ieee	NOUN
ejpam-7067	408	2	,	,	PUNCT
ejpam-7067	408	3	2023	2023	NUM
ejpam-7067	408	4	.	.	PUNCT
ejpam-7067	409	1	[	[	X
ejpam-7067	409	2	8	8	NUM
ejpam-7067	409	3	]	]	X
ejpam-7067	409	4	z	z	NOUN
ejpam-7067	409	5	wang	wang	PROPN
ejpam-7067	409	6	and	and	CCONJ
ejpam-7067	409	7	j	j	PROPN
ejpam-7067	409	8	cao	cao	PROPN
ejpam-7067	409	9	.	.	PUNCT
ejpam-7067	410	1	quasi	quasi	ADJ
ejpam-7067	410	2	-	-	NOUN
ejpam-7067	410	3	consensus	consensus	NOUN
ejpam-7067	410	4	of	of	ADP
ejpam-7067	410	5	second	second	ADJ
ejpam-7067	410	6	-	-	PUNCT
ejpam-7067	410	7	order	order	NOUN
ejpam-7067	410	8	leader	leader	NOUN
ejpam-7067	410	9	-	-	PUNCT
ejpam-7067	410	10	following	follow	VERB
ejpam-7067	410	11	multi	multi	ADJ
ejpam-7067	410	12	-	-	ADJ
ejpam-7067	410	13	agent	agent	ADJ
ejpam-7067	410	14	systems	system	NOUN
ejpam-7067	410	15	.	.	PUNCT
ejpam-7067	411	1	iet	iet	PROPN
ejpam-7067	411	2	control	control	PROPN
ejpam-7067	411	3	theory	theory	PROPN
ejpam-7067	411	4	&	&	CCONJ
ejpam-7067	411	5	applications	application	NOUN
ejpam-7067	411	6	,	,	PUNCT
ejpam-7067	411	7	6(4):545–551	6(4):545–551	NOUN
ejpam-7067	411	8	,	,	PUNCT
ejpam-7067	411	9	2012	2012	NUM
ejpam-7067	411	10	.	.	PUNCT
ejpam-7067	412	1	[	[	X
ejpam-7067	412	2	9	9	NUM
ejpam-7067	412	3	]	]	X
ejpam-7067	412	4	wenwu	wenwu	PROPN
ejpam-7067	412	5	yu	yu	PROPN
ejpam-7067	412	6	,	,	PUNCT
ejpam-7067	412	7	guanrong	guanrong	PROPN
ejpam-7067	412	8	chen	chen	PROPN
ejpam-7067	412	9	,	,	PUNCT
ejpam-7067	412	10	ming	ming	PROPN
ejpam-7067	412	11	cao	cao	PROPN
ejpam-7067	412	12	,	,	PUNCT
ejpam-7067	412	13	and	and	CCONJ
ejpam-7067	412	14	wei	wei	PROPN
ejpam-7067	412	15	ren	ren	PROPN
ejpam-7067	412	16	.	.	PUNCT
ejpam-7067	412	17	delay	delay	NOUN
ejpam-7067	412	18	-	-	PUNCT
ejpam-7067	412	19	induced	induce	VERB
ejpam-7067	412	20	consensus	consensus	NOUN
ejpam-7067	412	21	and	and	CCONJ
ejpam-7067	412	22	quasi	quasi	NOUN
ejpam-7067	412	23	-	-	NOUN
ejpam-7067	412	24	consensus	consensus	NOUN
ejpam-7067	412	25	in	in	ADP
ejpam-7067	412	26	multi	multi	ADJ
ejpam-7067	412	27	-	-	ADJ
ejpam-7067	412	28	agent	agent	ADJ
ejpam-7067	412	29	dynamical	dynamical	ADJ
ejpam-7067	412	30	systems	system	NOUN
ejpam-7067	412	31	.	.	PUNCT
ejpam-7067	413	1	ieee	ieee	NOUN
ejpam-7067	413	2	transactions	transaction	NOUN
ejpam-7067	413	3	on	on	ADP
ejpam-7067	413	4	circuits	circuit	NOUN
ejpam-7067	413	5	and	and	CCONJ
ejpam-7067	413	6	systems	system	NOUN
ejpam-7067	413	7	i	i	PRON
ejpam-7067	413	8	:	:	PUNCT
ejpam-7067	413	9	regular	regular	ADJ
ejpam-7067	413	10	papers	paper	NOUN
ejpam-7067	413	11	,	,	PUNCT
ejpam-7067	413	12	60(10):2679–2687	60(10):2679–2687	NOUN
ejpam-7067	413	13	,	,	PUNCT
ejpam-7067	413	14	2013	2013	NUM
ejpam-7067	413	15	.	.	PUNCT
ejpam-7067	414	1	[	[	X
ejpam-7067	414	2	10	10	NUM
ejpam-7067	414	3	]	]	X
ejpam-7067	414	4	wuneng	wuneng	PROPN
ejpam-7067	414	5	zhou	zhou	PROPN
ejpam-7067	414	6	,	,	PUNCT
ejpam-7067	414	7	jinping	jinpe	VERB
ejpam-7067	414	8	mou	mou	PROPN
ejpam-7067	414	9	,	,	PUNCT
ejpam-7067	414	10	tianbo	tianbo	PROPN
ejpam-7067	414	11	wang	wang	PROPN
ejpam-7067	414	12	,	,	PUNCT
ejpam-7067	414	13	chuan	chuan	PROPN
ejpam-7067	414	14	ji	ji	PROPN
ejpam-7067	414	15	,	,	PUNCT
ejpam-7067	414	16	and	and	CCONJ
ejpam-7067	414	17	jian’an	jian’an	PROPN
ejpam-7067	414	18	fang	fang	PROPN
ejpam-7067	414	19	.	.	PUNCT
ejpam-7067	415	1	quasiaverage	quasiaverage	PROPN
ejpam-7067	415	2	mean	mean	VERB
ejpam-7067	415	3	square	square	ADJ
ejpam-7067	415	4	consensus	consensus	NOUN
ejpam-7067	415	5	for	for	ADP
ejpam-7067	415	6	wireless	wireless	ADJ
ejpam-7067	415	7	sensor	sensor	NOUN
ejpam-7067	415	8	networks	network	NOUN
ejpam-7067	415	9	under	under	ADP
ejpam-7067	415	10	three	three	NUM
ejpam-7067	415	11	topologies	topology	NOUN
ejpam-7067	415	12	with	with	ADP
ejpam-7067	415	13	respect	respect	NOUN
ejpam-7067	415	14	to	to	ADP
ejpam-7067	415	15	sleeping	sleeping	NOUN
ejpam-7067	415	16	-	-	PUNCT
ejpam-7067	415	17	awaking	awake	VERB
ejpam-7067	415	18	method	method	NOUN
ejpam-7067	415	19	.	.	PUNCT
ejpam-7067	416	1	optimal	optimal	ADJ
ejpam-7067	416	2	control	control	NOUN
ejpam-7067	416	3	applications	application	NOUN
ejpam-7067	416	4	and	and	CCONJ
ejpam-7067	416	5	methods	method	NOUN
ejpam-7067	416	6	,	,	PUNCT
ejpam-7067	416	7	34(4):379–395	34(4):379–395	PROPN
ejpam-7067	416	8	,	,	PUNCT
ejpam-7067	416	9	2013	2013	NUM
ejpam-7067	416	10	.	.	PUNCT
ejpam-7067	417	1	[	[	X
ejpam-7067	417	2	11	11	NUM
ejpam-7067	417	3	]	]	PUNCT
ejpam-7067	417	4	stefania	stefania	PROPN
ejpam-7067	417	5	tomasiello	tomasiello	PROPN
ejpam-7067	417	6	,	,	PUNCT
ejpam-7067	417	7	matteo	matteo	PROPN
ejpam-7067	417	8	gaeta	gaeta	PROPN
ejpam-7067	417	9	,	,	PUNCT
ejpam-7067	417	10	vincenzo	vincenzo	NOUN
ejpam-7067	417	11	loia	loia	NOUN
ejpam-7067	417	12	,	,	PUNCT
ejpam-7067	417	13	et	et	PROPN
ejpam-7067	417	14	al	al	PROPN
ejpam-7067	417	15	.	.	PUNCT
ejpam-7067	418	1	quasi	quasi	PROPN
ejpam-7067	418	2	-	-	NOUN
ejpam-7067	418	3	consensus	consensus	NOUN
ejpam-7067	418	4	in	in	ADP
ejpam-7067	418	5	secondm	secondm	NOUN
ejpam-7067	418	6	.	.	PUNCT
ejpam-7067	419	1	donganont	donganont	PROPN
ejpam-7067	419	2	et	et	PROPN
ejpam-7067	419	3	al	al	PROPN
ejpam-7067	419	4	.	.	PUNCT
ejpam-7067	419	5	/	/	SYM
ejpam-7067	419	6	eur	eur	PROPN
ejpam-7067	419	7	.	.	PUNCT
ejpam-7067	420	1	j.	j.	PROPN
ejpam-7067	420	2	pure	pure	PROPN
ejpam-7067	420	3	appl	appl	PROPN
ejpam-7067	420	4	.	.	PROPN
ejpam-7067	420	5	math	math	PROPN
ejpam-7067	420	6	,	,	PUNCT
ejpam-7067	420	7	18	18	NUM
ejpam-7067	420	8	(	(	PUNCT
ejpam-7067	420	9	4	4	NUM
ejpam-7067	420	10	)	)	PUNCT
ejpam-7067	420	11	(	(	PUNCT
ejpam-7067	420	12	2025	2025	NUM
ejpam-7067	420	13	)	)	PUNCT
ejpam-7067	420	14	,	,	PUNCT
ejpam-7067	420	15	7067	7067	NUM
ejpam-7067	420	16	21	21	NUM
ejpam-7067	420	17	of	of	ADP
ejpam-7067	420	18	22	22	NUM
ejpam-7067	420	19	order	order	NOUN
ejpam-7067	420	20	multi	multi	ADJ
ejpam-7067	420	21	-	-	ADJ
ejpam-7067	420	22	agent	agent	ADJ
ejpam-7067	420	23	systems	system	NOUN
ejpam-7067	420	24	with	with	ADP
ejpam-7067	420	25	sampled	sample	VERB
ejpam-7067	420	26	data	datum	NOUN
ejpam-7067	420	27	through	through	ADP
ejpam-7067	420	28	fuzzy	fuzzy	ADJ
ejpam-7067	420	29	transform	transform	NOUN
ejpam-7067	420	30	.	.	PUNCT
ejpam-7067	421	1	j	j	PROPN
ejpam-7067	421	2	uncertain	uncertain	ADJ
ejpam-7067	421	3	syst	syst	NOUN
ejpam-7067	421	4	,	,	PUNCT
ejpam-7067	421	5	10(4):3–10	10(4):3–10	NUM
ejpam-7067	421	6	,	,	PUNCT
ejpam-7067	421	7	2016	2016	NUM
ejpam-7067	421	8	.	.	PUNCT
ejpam-7067	422	1	[	[	X
ejpam-7067	422	2	12	12	NUM
ejpam-7067	422	3	]	]	PUNCT
ejpam-7067	422	4	xing	xing	PROPN
ejpam-7067	423	1	he	he	PRON
ejpam-7067	423	2	,	,	PUNCT
ejpam-7067	423	3	junzhi	junzhi	PROPN
ejpam-7067	423	4	yu	yu	PROPN
ejpam-7067	423	5	,	,	PUNCT
ejpam-7067	423	6	tingwen	tingwen	PROPN
ejpam-7067	423	7	huang	huang	PROPN
ejpam-7067	423	8	,	,	PUNCT
ejpam-7067	423	9	chuandong	chuandong	PROPN
ejpam-7067	423	10	li	li	PROPN
ejpam-7067	423	11	,	,	PUNCT
ejpam-7067	423	12	and	and	CCONJ
ejpam-7067	423	13	chaojie	chaojie	ADP
ejpam-7067	423	14	li	li	PROPN
ejpam-7067	423	15	.	.	PUNCT
ejpam-7067	424	1	average	average	PROPN
ejpam-7067	424	2	quasiconsensus	quasiconsensus	PROPN
ejpam-7067	424	3	algorithm	algorithm	NOUN
ejpam-7067	424	4	for	for	ADP
ejpam-7067	424	5	distributed	distribute	VERB
ejpam-7067	424	6	constrained	constrain	VERB
ejpam-7067	424	7	optimization	optimization	NOUN
ejpam-7067	424	8	:	:	PUNCT
ejpam-7067	424	9	impulsive	impulsive	ADJ
ejpam-7067	424	10	communication	communication	NOUN
ejpam-7067	424	11	framework	framework	NOUN
ejpam-7067	424	12	.	.	PUNCT
ejpam-7067	425	1	ieee	ieee	NOUN
ejpam-7067	425	2	transactions	transaction	NOUN
ejpam-7067	425	3	on	on	ADP
ejpam-7067	425	4	cybernetics	cybernetic	NOUN
ejpam-7067	425	5	,	,	PUNCT
ejpam-7067	425	6	50(1):351–360	50(1):351–360	PROPN
ejpam-7067	425	7	,	,	PUNCT
ejpam-7067	425	8	2018	2018	NUM
ejpam-7067	425	9	.	.	PUNCT
ejpam-7067	426	1	[	[	X
ejpam-7067	426	2	13	13	NUM
ejpam-7067	426	3	]	]	PUNCT
ejpam-7067	426	4	wenbing	wenbe	VERB
ejpam-7067	426	5	zhang	zhang	PROPN
ejpam-7067	426	6	,	,	PUNCT
ejpam-7067	426	7	daniel	daniel	PROPN
ejpam-7067	426	8	wc	wc	PROPN
ejpam-7067	426	9	ho	ho	PROPN
ejpam-7067	426	10	,	,	PUNCT
ejpam-7067	426	11	yang	yang	PROPN
ejpam-7067	426	12	tang	tang	PROPN
ejpam-7067	426	13	,	,	PUNCT
ejpam-7067	426	14	and	and	CCONJ
ejpam-7067	426	15	yurong	yurong	PROPN
ejpam-7067	426	16	liu	liu	PROPN
ejpam-7067	426	17	.	.	PUNCT
ejpam-7067	427	1	quasi	quasi	PROPN
ejpam-7067	427	2	-	-	NOUN
ejpam-7067	427	3	consensus	consensus	NOUN
ejpam-7067	427	4	of	of	ADP
ejpam-7067	427	5	heterogeneous	heterogeneous	ADJ
ejpam-7067	427	6	-	-	PUNCT
ejpam-7067	427	7	switched	switch	VERB
ejpam-7067	427	8	nonlinear	nonlinear	ADJ
ejpam-7067	427	9	multiagent	multiagent	NOUN
ejpam-7067	427	10	systems	system	NOUN
ejpam-7067	427	11	.	.	PUNCT
ejpam-7067	428	1	ieee	ieee	NOUN
ejpam-7067	428	2	transactions	transaction	NOUN
ejpam-7067	428	3	on	on	ADP
ejpam-7067	428	4	cybernetics	cybernetic	NOUN
ejpam-7067	428	5	,	,	PUNCT
ejpam-7067	428	6	50(7):3136–3146	50(7):3136–3146	NOUN
ejpam-7067	428	7	,	,	PUNCT
ejpam-7067	428	8	2019	2019	NUM
ejpam-7067	428	9	.	.	PUNCT
ejpam-7067	429	1	[	[	X
ejpam-7067	429	2	14	14	NUM
ejpam-7067	429	3	]	]	X
ejpam-7067	429	4	furugh	furugh	NOUN
ejpam-7067	429	5	mirali	mirali	NOUN
ejpam-7067	429	6	and	and	CCONJ
ejpam-7067	429	7	herbert	herbert	PROPN
ejpam-7067	429	8	werner	werner	PROPN
ejpam-7067	429	9	.	.	PUNCT
ejpam-7067	430	1	a	a	DET
ejpam-7067	430	2	dynamic	dynamic	ADJ
ejpam-7067	430	3	quasi	quasi	ADJ
ejpam-7067	430	4	-	-	ADJ
ejpam-7067	430	5	taylor	taylor	ADJ
ejpam-7067	430	6	approach	approach	NOUN
ejpam-7067	430	7	for	for	ADP
ejpam-7067	430	8	distributed	distribute	VERB
ejpam-7067	430	9	consensus	consensus	NOUN
ejpam-7067	430	10	problems	problem	NOUN
ejpam-7067	430	11	with	with	ADP
ejpam-7067	430	12	packet	packet	NOUN
ejpam-7067	430	13	loss	loss	NOUN
ejpam-7067	430	14	.	.	PUNCT
ejpam-7067	431	1	in	in	ADP
ejpam-7067	431	2	2020	2020	NUM
ejpam-7067	431	3	american	american	PROPN
ejpam-7067	431	4	control	control	PROPN
ejpam-7067	431	5	conference	conference	PROPN
ejpam-7067	431	6	(	(	PUNCT
ejpam-7067	431	7	acc	acc	PROPN
ejpam-7067	431	8	)	)	PUNCT
ejpam-7067	431	9	,	,	PUNCT
ejpam-7067	431	10	pages	page	VERB
ejpam-7067	431	11	701–706	701–706	PROPN
ejpam-7067	431	12	.	.	PUNCT
ejpam-7067	431	13	ieee	ieee	PROPN
ejpam-7067	431	14	,	,	PUNCT
ejpam-7067	431	15	2020	2020	NUM
ejpam-7067	431	16	.	.	PUNCT
ejpam-7067	432	1	[	[	X
ejpam-7067	432	2	15	15	NUM
ejpam-7067	432	3	]	]	X
ejpam-7067	432	4	ning	ning	PROPN
ejpam-7067	432	5	cai	cai	PROPN
ejpam-7067	432	6	,	,	PUNCT
ejpam-7067	432	7	chen	chen	PROPN
ejpam-7067	432	8	diao	diao	PROPN
ejpam-7067	432	9	,	,	PUNCT
ejpam-7067	432	10	and	and	CCONJ
ejpam-7067	432	11	m	m	PROPN
ejpam-7067	432	12	junaid	junaid	VERB
ejpam-7067	432	13	khan	khan	PROPN
ejpam-7067	432	14	.	.	PUNCT
ejpam-7067	433	1	a	a	DET
ejpam-7067	433	2	novel	novel	ADJ
ejpam-7067	433	3	clustering	clustering	NOUN
ejpam-7067	433	4	method	method	NOUN
ejpam-7067	433	5	based	base	VERB
ejpam-7067	433	6	on	on	ADP
ejpam-7067	433	7	quasiconsensus	quasiconsensus	PROPN
ejpam-7067	433	8	motions	motion	NOUN
ejpam-7067	433	9	of	of	ADP
ejpam-7067	433	10	dynamical	dynamical	ADJ
ejpam-7067	433	11	multiagent	multiagent	NOUN
ejpam-7067	433	12	systems	system	NOUN
ejpam-7067	433	13	.	.	PUNCT
ejpam-7067	434	1	complexity	complexity	NOUN
ejpam-7067	434	2	,	,	PUNCT
ejpam-7067	434	3	2017(1):4978613	2017(1):4978613	PROPN
ejpam-7067	434	4	,	,	PUNCT
ejpam-7067	434	5	2017	2017	NUM
ejpam-7067	434	6	.	.	PUNCT
ejpam-7067	435	1	[	[	X
ejpam-7067	435	2	16	16	NUM
ejpam-7067	435	3	]	]	X
ejpam-7067	435	4	sandip	sandip	PROPN
ejpam-7067	435	5	roy	roy	PROPN
ejpam-7067	435	6	.	.	PROPN
ejpam-7067	436	1	scaled	scaled	PROPN
ejpam-7067	436	2	consensus	consensus	NOUN
ejpam-7067	436	3	.	.	PUNCT
ejpam-7067	437	1	automatica	automatica	PROPN
ejpam-7067	437	2	,	,	PUNCT
ejpam-7067	437	3	51:259–262	51:259–262	PROPN
ejpam-7067	437	4	,	,	PUNCT
ejpam-7067	437	5	2015	2015	NUM
ejpam-7067	437	6	.	.	PUNCT
ejpam-7067	438	1	[	[	X
ejpam-7067	438	2	17	17	NUM
ejpam-7067	438	3	]	]	X
ejpam-7067	438	4	choonkil	choonkil	PROPN
ejpam-7067	438	5	park	park	PROPN
ejpam-7067	438	6	,	,	PUNCT
ejpam-7067	438	7	siriluk	siriluk	PROPN
ejpam-7067	438	8	donganont	donganont	PROPN
ejpam-7067	438	9	,	,	PUNCT
ejpam-7067	438	10	and	and	CCONJ
ejpam-7067	438	11	mana	mana	PROPN
ejpam-7067	438	12	donganont	donganont	PROPN
ejpam-7067	438	13	.	.	PUNCT
ejpam-7067	439	1	achieving	achieve	VERB
ejpam-7067	439	2	edge	edge	NOUN
ejpam-7067	439	3	consensus	consensus	NOUN
ejpam-7067	439	4	in	in	ADP
ejpam-7067	439	5	hybrid	hybrid	ADJ
ejpam-7067	439	6	multi	multi	NOUN
ejpam-7067	439	7	-	-	NOUN
ejpam-7067	439	8	agentsystems	agentsystem	NOUN
ejpam-7067	439	9	:	:	PUNCT
ejpam-7067	439	10	scaled	scale	VERB
ejpam-7067	439	11	dynamics	dynamic	NOUN
ejpam-7067	439	12	and	and	CCONJ
ejpam-7067	439	13	protocol	protocol	NOUN
ejpam-7067	439	14	design	design	NOUN
ejpam-7067	439	15	.	.	PUNCT
ejpam-7067	440	1	european	european	ADJ
ejpam-7067	440	2	journal	journal	PROPN
ejpam-7067	440	3	of	of	ADP
ejpam-7067	440	4	pure	pure	ADJ
ejpam-7067	440	5	and	and	CCONJ
ejpam-7067	440	6	applied	applied	ADJ
ejpam-7067	440	7	mathematics	mathematic	NOUN
ejpam-7067	440	8	,	,	PUNCT
ejpam-7067	440	9	18(1):5549	18(1):5549	NUM
ejpam-7067	440	10	,	,	PUNCT
ejpam-7067	440	11	2025	2025	NUM
ejpam-7067	440	12	.	.	PUNCT
ejpam-7067	441	1	[	[	X
ejpam-7067	441	2	18	18	NUM
ejpam-7067	441	3	]	]	X
ejpam-7067	441	4	mana	mana	PROPN
ejpam-7067	441	5	donganont	donganont	PROPN
ejpam-7067	441	6	,	,	PUNCT
ejpam-7067	441	7	siriluk	siriluk	PROPN
ejpam-7067	441	8	donganont	donganont	PROPN
ejpam-7067	441	9	,	,	PUNCT
ejpam-7067	441	10	and	and	CCONJ
ejpam-7067	441	11	haiyang	haiyang	PROPN
ejpam-7067	441	12	zhang	zhang	PROPN
ejpam-7067	441	13	.	.	PUNCT
ejpam-7067	441	14	pulse	pulse	NOUN
ejpam-7067	441	15	-	-	PUNCT
ejpam-7067	441	16	modulated	modulate	VERB
ejpam-7067	441	17	control	control	NOUN
ejpam-7067	441	18	for	for	ADP
ejpam-7067	441	19	scaled	scale	VERB
ejpam-7067	441	20	consensus	consensus	NOUN
ejpam-7067	441	21	of	of	ADP
ejpam-7067	441	22	edge	edge	NOUN
ejpam-7067	441	23	dynamics	dynamic	NOUN
ejpam-7067	441	24	in	in	ADP
ejpam-7067	441	25	hybrid	hybrid	ADJ
ejpam-7067	441	26	multi	multi	ADJ
ejpam-7067	441	27	-	-	ADJ
ejpam-7067	441	28	agent	agent	ADJ
ejpam-7067	441	29	systems	system	NOUN
ejpam-7067	441	30	.	.	PUNCT
ejpam-7067	442	1	international	international	ADJ
ejpam-7067	442	2	journal	journal	PROPN
ejpam-7067	442	3	of	of	ADP
ejpam-7067	442	4	control	control	NOUN
ejpam-7067	442	5	,	,	PUNCT
ejpam-7067	442	6	automation	automation	NOUN
ejpam-7067	442	7	and	and	CCONJ
ejpam-7067	442	8	systems	system	NOUN
ejpam-7067	442	9	,	,	PUNCT
ejpam-7067	442	10	23(9):2503–2513	23(9):2503–2513	NUM
ejpam-7067	442	11	,	,	PUNCT
ejpam-7067	442	12	2025	2025	NUM
ejpam-7067	442	13	.	.	PUNCT
ejpam-7067	443	1	[	[	X
ejpam-7067	443	2	19	19	NUM
ejpam-7067	443	3	]	]	X
ejpam-7067	443	4	siriluk	siriluk	PROPN
ejpam-7067	443	5	donganont	donganont	PROPN
ejpam-7067	443	6	,	,	PUNCT
ejpam-7067	443	7	uamporn	uamporn	ADJ
ejpam-7067	443	8	witthayarat	witthayarat	NOUN
ejpam-7067	443	9	,	,	PUNCT
ejpam-7067	443	10	and	and	CCONJ
ejpam-7067	443	11	mana	mana	PROPN
ejpam-7067	443	12	donganont	donganont	PROPN
ejpam-7067	443	13	.	.	PUNCT
ejpam-7067	444	1	impulsive	impulsive	ADJ
ejpam-7067	444	2	protocols	protocol	NOUN
ejpam-7067	444	3	for	for	ADP
ejpam-7067	444	4	scaled	scale	VERB
ejpam-7067	444	5	consensus	consensus	NOUN
ejpam-7067	444	6	in	in	ADP
ejpam-7067	444	7	edge	edge	NOUN
ejpam-7067	444	8	-	-	PUNCT
ejpam-7067	444	9	dynamic	dynamic	ADJ
ejpam-7067	444	10	multi	multi	ADJ
ejpam-7067	444	11	-	-	ADJ
ejpam-7067	444	12	agent	agent	ADJ
ejpam-7067	444	13	systems	system	NOUN
ejpam-7067	444	14	.	.	PUNCT
ejpam-7067	445	1	european	european	ADJ
ejpam-7067	445	2	journal	journal	PROPN
ejpam-7067	445	3	of	of	ADP
ejpam-7067	445	4	pure	pure	ADJ
ejpam-7067	445	5	and	and	CCONJ
ejpam-7067	445	6	applied	applied	ADJ
ejpam-7067	445	7	mathematics	mathematic	NOUN
ejpam-7067	445	8	,	,	PUNCT
ejpam-7067	445	9	18(1):5755	18(1):5755	NUM
ejpam-7067	445	10	,	,	PUNCT
ejpam-7067	445	11	2025	2025	NUM
ejpam-7067	445	12	.	.	PUNCT
ejpam-7067	446	1	[	[	X
ejpam-7067	446	2	20	20	NUM
ejpam-7067	446	3	]	]	PUNCT
ejpam-7067	446	4	mana	mana	PROPN
ejpam-7067	446	5	donganont	donganont	PROPN
ejpam-7067	446	6	.	.	PUNCT
ejpam-7067	447	1	distributed	distribute	VERB
ejpam-7067	447	2	complex	complex	ADJ
ejpam-7067	447	3	consensus	consensus	NOUN
ejpam-7067	447	4	in	in	ADP
ejpam-7067	447	5	hybrid	hybrid	ADJ
ejpam-7067	447	6	networks	network	NOUN
ejpam-7067	447	7	:	:	PUNCT
ejpam-7067	447	8	a	a	DET
ejpam-7067	447	9	complex	complex	ADJ
ejpam-7067	447	10	laplacian	laplacian	ADV
ejpam-7067	447	11	-	-	PUNCT
ejpam-7067	447	12	based	base	VERB
ejpam-7067	447	13	approach	approach	NOUN
ejpam-7067	447	14	.	.	PUNCT
ejpam-7067	448	1	asian	asian	ADJ
ejpam-7067	448	2	journal	journal	PROPN
ejpam-7067	448	3	of	of	ADP
ejpam-7067	448	4	control	control	PROPN
ejpam-7067	448	5	,	,	PUNCT
ejpam-7067	448	6	n	n	CCONJ
ejpam-7067	448	7	/	/	SYM
ejpam-7067	448	8	a(n	a(n	NOUN
ejpam-7067	448	9	/	/	SYM
ejpam-7067	448	10	a	a	NOUN
ejpam-7067	448	11	)	)	PUNCT
ejpam-7067	448	12	.	.	PUNCT
ejpam-7067	449	1	[	[	X
ejpam-7067	449	2	21	21	NUM
ejpam-7067	449	3	]	]	X
ejpam-7067	449	4	dennis	dennis	PROPN
ejpam-7067	449	5	s.	s.	PROPN
ejpam-7067	449	6	bernstein	bernstein	PROPN
ejpam-7067	449	7	.	.	PROPN
ejpam-7067	449	8	matrix	matrix	NOUN
ejpam-7067	449	9	mathematics	mathematic	NOUN
ejpam-7067	449	10	:	:	PUNCT
ejpam-7067	449	11	theory	theory	NOUN
ejpam-7067	449	12	,	,	PUNCT
ejpam-7067	449	13	facts	fact	NOUN
ejpam-7067	449	14	,	,	PUNCT
ejpam-7067	449	15	and	and	CCONJ
ejpam-7067	449	16	formulas	formula	NOUN
ejpam-7067	449	17	.	.	PUNCT
ejpam-7067	450	1	princeton	princeton	PROPN
ejpam-7067	450	2	university	university	PROPN
ejpam-7067	450	3	press	press	PROPN
ejpam-7067	450	4	,	,	PUNCT
ejpam-7067	450	5	princeton	princeton	PROPN
ejpam-7067	450	6	,	,	PUNCT
ejpam-7067	450	7	nj	nj	PROPN
ejpam-7067	450	8	,	,	PUNCT
ejpam-7067	450	9	2nd	2nd	PROPN
ejpam-7067	450	10	edition	edition	NOUN
ejpam-7067	450	11	,	,	PUNCT
ejpam-7067	450	12	2009	2009	NUM
ejpam-7067	450	13	.	.	PUNCT
ejpam-7067	451	1	[	[	X
ejpam-7067	451	2	22	22	NUM
ejpam-7067	451	3	]	]	X
ejpam-7067	451	4	hassan	hassan	PROPN
ejpam-7067	451	5	k.	k.	PROPN
ejpam-7067	451	6	khalil	khalil	PROPN
ejpam-7067	451	7	.	.	PUNCT
ejpam-7067	452	1	nonlinear	nonlinear	ADJ
ejpam-7067	452	2	systems	systems	PROPN
ejpam-7067	452	3	.	.	PUNCT
ejpam-7067	453	1	prentice	prentice	PROPN
ejpam-7067	453	2	hall	hall	PROPN
ejpam-7067	453	3	,	,	PUNCT
ejpam-7067	453	4	upper	upper	ADJ
ejpam-7067	453	5	saddle	saddle	NOUN
ejpam-7067	453	6	river	river	PROPN
ejpam-7067	453	7	,	,	PUNCT
ejpam-7067	453	8	nj	nj	PROPN
ejpam-7067	453	9	,	,	PUNCT
ejpam-7067	453	10	3rd	3rd	ADJ
ejpam-7067	453	11	edition	edition	NOUN
ejpam-7067	453	12	,	,	PUNCT
ejpam-7067	453	13	2002	2002	NUM
ejpam-7067	453	14	.	.	PUNCT
ejpam-7067	454	1	m.	m.	NOUN
ejpam-7067	454	2	donganont	donganont	PROPN
ejpam-7067	454	3	et	et	PROPN
ejpam-7067	454	4	al	al	PROPN
ejpam-7067	454	5	.	.	PUNCT
ejpam-7067	454	6	/	/	SYM
ejpam-7067	454	7	eur	eur	PROPN
ejpam-7067	454	8	.	.	PUNCT
ejpam-7067	455	1	j.	j.	PROPN
ejpam-7067	455	2	pure	pure	PROPN
ejpam-7067	455	3	appl	appl	PROPN
ejpam-7067	455	4	.	.	PROPN
ejpam-7067	455	5	math	math	PROPN
ejpam-7067	455	6	,	,	PUNCT
ejpam-7067	455	7	18	18	NUM
ejpam-7067	455	8	(	(	PUNCT
ejpam-7067	455	9	4	4	NUM
ejpam-7067	455	10	)	)	PUNCT
ejpam-7067	455	11	(	(	PUNCT
ejpam-7067	455	12	2025	2025	NUM
ejpam-7067	455	13	)	)	PUNCT
ejpam-7067	455	14	,	,	PUNCT
ejpam-7067	455	15	7067	7067	NUM
ejpam-7067	455	16	22	22	NUM
ejpam-7067	455	17	of	of	ADP
ejpam-7067	455	18	22	22	NUM
ejpam-7067	455	19	figure	figure	NOUN
ejpam-7067	455	20	5	5	NUM
ejpam-7067	455	21	:	:	PUNCT
ejpam-7067	455	22	dispersion	dispersion	NOUN
ejpam-7067	455	23	evolution	evolution	NOUN
ejpam-7067	455	24	across	across	ADP
ejpam-7067	455	25	regimes	regime	NOUN
ejpam-7067	455	26	.	.	PUNCT
ejpam-7067	456	1	the	the	DET
ejpam-7067	456	2	unsaturated	unsaturated	ADJ
ejpam-7067	456	3	case	case	NOUN
ejpam-7067	456	4	(	(	PUNCT
ejpam-7067	456	5	blue	blue	ADJ
ejpam-7067	456	6	)	)	PUNCT
ejpam-7067	456	7	exhibits	exhibit	VERB
ejpam-7067	456	8	the	the	DET
ejpam-7067	456	9	fastest	fast	ADJ
ejpam-7067	456	10	exponential	exponential	ADJ
ejpam-7067	456	11	decay	decay	NOUN
ejpam-7067	456	12	;	;	PUNCT
ejpam-7067	456	13	the	the	DET
ejpam-7067	456	14	safe	safe	ADJ
ejpam-7067	456	15	-	-	PUNCT
ejpam-7067	456	16	saturation	saturation	NOUN
ejpam-7067	456	17	case	case	NOUN
ejpam-7067	456	18	(	(	PUNCT
ejpam-7067	456	19	orange	orange	PROPN
ejpam-7067	456	20	)	)	PUNCT
ejpam-7067	456	21	follows	follow	VERB
ejpam-7067	456	22	the	the	DET
ejpam-7067	456	23	same	same	ADJ
ejpam-7067	456	24	trajectory	trajectory	NOUN
ejpam-7067	456	25	within	within	ADP
ejpam-7067	456	26	the	the	DET
ejpam-7067	456	27	linear	linear	ADJ
ejpam-7067	456	28	region	region	NOUN
ejpam-7067	456	29	;	;	PUNCT
ejpam-7067	456	30	and	and	CCONJ
ejpam-7067	456	31	the	the	DET
ejpam-7067	456	32	low	low	ADJ
ejpam-7067	456	33	-	-	PUNCT
ejpam-7067	456	34	gain	gain	NOUN
ejpam-7067	456	35	case	case	NOUN
ejpam-7067	456	36	(	(	PUNCT
ejpam-7067	456	37	yellow	yellow	ADJ
ejpam-7067	456	38	)	)	PUNCT
ejpam-7067	456	39	converges	converge	NOUN
ejpam-7067	456	40	to	to	ADP
ejpam-7067	456	41	a	a	DET
ejpam-7067	456	42	bounded	bounded	ADJ
ejpam-7067	456	43	quasi	quasi	NOUN
ejpam-7067	456	44	-	-	NOUN
ejpam-7067	456	45	band	band	NOUN
ejpam-7067	456	46	.	.	PUNCT
ejpam-7067	457	1	the	the	DET
ejpam-7067	457	2	dashed	dash	VERB
ejpam-7067	457	3	reference	reference	NOUN
ejpam-7067	457	4	line	line	NOUN
ejpam-7067	457	5	denotes	denote	VERB
ejpam-7067	457	6	the	the	DET
ejpam-7067	457	7	theoretical	theoretical	ADJ
ejpam-7067	457	8	quasi	quasi	ADJ
ejpam-7067	457	9	-	-	ADJ
ejpam-7067	457	10	radius	radius	ADJ
ejpam-7067	457	11	ρ	ρ	NOUN
ejpam-7067	457	12	=	=	PUNCT
ejpam-7067	457	13	cqα	cqα	NOUN
ejpam-7067	457	14	,	,	PUNCT
ejpam-7067	457	15	illustrating	illustrate	VERB
ejpam-7067	457	16	the	the	DET
ejpam-7067	457	17	accuracy	accuracy	NOUN
ejpam-7067	457	18	of	of	ADP
ejpam-7067	457	19	the	the	DET
ejpam-7067	457	20	analytical	analytical	ADJ
ejpam-7067	457	21	prediction	prediction	NOUN
ejpam-7067	457	22	.	.	PUNCT