id	sid	tid	token	lemma	pos
ejpam-6163	1	1	european	european	PROPN
ejpam-6163	1	2	journal	journal	PROPN
ejpam-6163	1	3	of	of	ADP
ejpam-6163	1	4	pure	pure	ADJ
ejpam-6163	1	5	and	and	CCONJ
ejpam-6163	1	6	applied	applied	ADJ
ejpam-6163	1	7	mathematics	mathematic	NOUN
ejpam-6163	1	8	2025	2025	NUM
ejpam-6163	1	9	,	,	PUNCT
ejpam-6163	1	10	vol	vol	NOUN
ejpam-6163	1	11	.	.	PROPN
ejpam-6163	1	12	18	18	NUM
ejpam-6163	1	13	,	,	PUNCT
ejpam-6163	1	14	issue	issue	NOUN
ejpam-6163	1	15	2	2	NUM
ejpam-6163	1	16	,	,	PUNCT
ejpam-6163	1	17	article	article	NOUN
ejpam-6163	1	18	number	number	NOUN
ejpam-6163	1	19	6163	6163	NUM
ejpam-6163	1	20	issn	issn	PROPN
ejpam-6163	1	21	1307	1307	NUM
ejpam-6163	1	22	-	-	SYM
ejpam-6163	1	23	5543	5543	NUM
ejpam-6163	1	24	–	–	PUNCT
ejpam-6163	1	25	ejpam.com	ejpam.com	X
ejpam-6163	1	26	published	publish	VERB
ejpam-6163	1	27	by	by	ADP
ejpam-6163	1	28	new	new	PROPN
ejpam-6163	1	29	york	york	PROPN
ejpam-6163	1	30	business	business	PROPN
ejpam-6163	1	31	global	global	ADJ
ejpam-6163	1	32	finite	finite	ADJ
ejpam-6163	1	33	-	-	PUNCT
ejpam-6163	1	34	time	time	NOUN
ejpam-6163	1	35	scaled	scaled	ADJ
ejpam-6163	1	36	consensus	consensus	NOUN
ejpam-6163	1	37	in	in	ADP
ejpam-6163	1	38	hybrid	hybrid	ADJ
ejpam-6163	1	39	multi	multi	ADJ
ejpam-6163	1	40	-	-	ADJ
ejpam-6163	1	41	agent	agent	ADJ
ejpam-6163	1	42	systems	system	NOUN
ejpam-6163	1	43	via	via	ADP
ejpam-6163	1	44	conjugate	conjugate	ADJ
ejpam-6163	1	45	gradient	gradient	NOUN
ejpam-6163	1	46	methods	method	NOUN
ejpam-6163	1	47	m.	m.	NOUN
ejpam-6163	1	48	donganont1,∗	donganont1,∗	PROPN
ejpam-6163	1	49	,	,	PUNCT
ejpam-6163	1	50	s.	s.	PROPN
ejpam-6163	1	51	intawichai1	intawichai1	PROPN
ejpam-6163	1	52	,	,	PUNCT
ejpam-6163	1	53	s.	s.	PROPN
ejpam-6163	1	54	phongchan1	phongchan1	VERB
ejpam-6163	1	55	1	1	NUM
ejpam-6163	1	56	school	school	NOUN
ejpam-6163	1	57	of	of	ADP
ejpam-6163	1	58	science	science	NOUN
ejpam-6163	1	59	,	,	PUNCT
ejpam-6163	1	60	university	university	NOUN
ejpam-6163	1	61	of	of	ADP
ejpam-6163	1	62	phayao	phayao	NOUN
ejpam-6163	1	63	,	,	PUNCT
ejpam-6163	1	64	phayao	phayao	NOUN
ejpam-6163	1	65	56000	56000	NUM
ejpam-6163	1	66	,	,	PUNCT
ejpam-6163	1	67	thailand	thailand	PROPN
ejpam-6163	1	68	abstract	abstract	NOUN
ejpam-6163	1	69	.	.	PUNCT
ejpam-6163	2	1	this	this	DET
ejpam-6163	2	2	paper	paper	NOUN
ejpam-6163	2	3	addresses	address	VERB
ejpam-6163	2	4	the	the	DET
ejpam-6163	2	5	finite	finite	ADJ
ejpam-6163	2	6	-	-	PUNCT
ejpam-6163	2	7	time	time	NOUN
ejpam-6163	2	8	scaled	scale	VERB
ejpam-6163	2	9	consensus	consensus	NOUN
ejpam-6163	2	10	problem	problem	NOUN
ejpam-6163	2	11	for	for	ADP
ejpam-6163	2	12	hybrid	hybrid	ADJ
ejpam-6163	2	13	multi	multi	ADJ
ejpam-6163	2	14	-	-	ADJ
ejpam-6163	2	15	agent	agent	ADJ
ejpam-6163	2	16	systems	system	NOUN
ejpam-6163	2	17	(	(	PUNCT
ejpam-6163	2	18	hmass	hmass	NOUN
ejpam-6163	2	19	)	)	PUNCT
ejpam-6163	2	20	comprising	comprise	VERB
ejpam-6163	2	21	both	both	CCONJ
ejpam-6163	2	22	continuous	continuous	ADJ
ejpam-6163	2	23	-	-	PUNCT
ejpam-6163	2	24	time	time	NOUN
ejpam-6163	2	25	and	and	CCONJ
ejpam-6163	2	26	discrete	discrete	ADJ
ejpam-6163	2	27	-	-	PUNCT
ejpam-6163	2	28	time	time	NOUN
ejpam-6163	2	29	agents	agent	NOUN
ejpam-6163	2	30	.	.	PUNCT
ejpam-6163	3	1	motivated	motivate	VERB
ejpam-6163	3	2	by	by	ADP
ejpam-6163	3	3	the	the	DET
ejpam-6163	3	4	limitations	limitation	NOUN
ejpam-6163	3	5	of	of	ADP
ejpam-6163	3	6	traditional	traditional	ADJ
ejpam-6163	3	7	consensus	consensus	NOUN
ejpam-6163	3	8	models	model	NOUN
ejpam-6163	3	9	that	that	PRON
ejpam-6163	3	10	neglect	neglect	NOUN
ejpam-6163	3	11	scaling	scaling	NOUN
ejpam-6163	3	12	effects	effect	NOUN
ejpam-6163	3	13	and	and	CCONJ
ejpam-6163	3	14	hybrid	hybrid	NOUN
ejpam-6163	3	15	dynamics	dynamic	NOUN
ejpam-6163	3	16	,	,	PUNCT
ejpam-6163	3	17	we	we	PRON
ejpam-6163	3	18	propose	propose	VERB
ejpam-6163	3	19	a	a	DET
ejpam-6163	3	20	unified	unified	ADJ
ejpam-6163	3	21	control	control	NOUN
ejpam-6163	3	22	framework	framework	NOUN
ejpam-6163	3	23	under	under	ADP
ejpam-6163	3	24	two	two	NUM
ejpam-6163	3	25	sampling	sampling	NOUN
ejpam-6163	3	26	-	-	PUNCT
ejpam-6163	3	27	based	base	VERB
ejpam-6163	3	28	protocols	protocol	NOUN
ejpam-6163	3	29	.	.	PUNCT
ejpam-6163	4	1	by	by	ADP
ejpam-6163	4	2	modeling	model	VERB
ejpam-6163	4	3	the	the	DET
ejpam-6163	4	4	system	system	NOUN
ejpam-6163	4	5	as	as	ADP
ejpam-6163	4	6	a	a	DET
ejpam-6163	4	7	directed	direct	VERB
ejpam-6163	4	8	communication	communication	NOUN
ejpam-6163	4	9	graph	graph	NOUN
ejpam-6163	4	10	and	and	CCONJ
ejpam-6163	4	11	formulating	formulate	VERB
ejpam-6163	4	12	the	the	DET
ejpam-6163	4	13	consensus	consensus	NOUN
ejpam-6163	4	14	condition	condition	NOUN
ejpam-6163	4	15	as	as	ADP
ejpam-6163	4	16	a	a	DET
ejpam-6163	4	17	linear	linear	ADJ
ejpam-6163	4	18	system	system	NOUN
ejpam-6163	4	19	,	,	PUNCT
ejpam-6163	4	20	we	we	PRON
ejpam-6163	4	21	employ	employ	VERB
ejpam-6163	4	22	the	the	DET
ejpam-6163	4	23	conjugate	conjugate	ADJ
ejpam-6163	4	24	gradient	gradient	NOUN
ejpam-6163	4	25	method	method	NOUN
ejpam-6163	4	26	(	(	PUNCT
ejpam-6163	4	27	cgm	cgm	PROPN
ejpam-6163	4	28	)	)	PUNCT
ejpam-6163	4	29	to	to	PART
ejpam-6163	4	30	achieve	achieve	VERB
ejpam-6163	4	31	exact	exact	ADJ
ejpam-6163	4	32	convergence	convergence	NOUN
ejpam-6163	4	33	within	within	ADP
ejpam-6163	4	34	at	at	ADP
ejpam-6163	4	35	most	most	ADJ
ejpam-6163	4	36	n	n	PRON
ejpam-6163	4	37	steps	step	NOUN
ejpam-6163	4	38	,	,	PUNCT
ejpam-6163	4	39	where	where	SCONJ
ejpam-6163	4	40	n	n	PRON
ejpam-6163	4	41	is	be	AUX
ejpam-6163	4	42	the	the	DET
ejpam-6163	4	43	number	number	NOUN
ejpam-6163	4	44	of	of	ADP
ejpam-6163	4	45	agents	agent	NOUN
ejpam-6163	4	46	.	.	PUNCT
ejpam-6163	5	1	sufficient	sufficient	ADJ
ejpam-6163	5	2	and	and	CCONJ
ejpam-6163	5	3	necessary	necessary	ADJ
ejpam-6163	5	4	conditions	condition	NOUN
ejpam-6163	5	5	are	be	AUX
ejpam-6163	5	6	derived	derive	VERB
ejpam-6163	5	7	under	under	ADP
ejpam-6163	5	8	each	each	DET
ejpam-6163	5	9	protocol	protocol	NOUN
ejpam-6163	5	10	to	to	PART
ejpam-6163	5	11	guarantee	guarantee	VERB
ejpam-6163	5	12	scaled	scaled	ADJ
ejpam-6163	5	13	consensus	consensus	NOUN
ejpam-6163	5	14	,	,	PUNCT
ejpam-6163	5	15	accounting	account	VERB
ejpam-6163	5	16	for	for	ADP
ejpam-6163	5	17	heterogeneous	heterogeneous	ADJ
ejpam-6163	5	18	agent	agent	NOUN
ejpam-6163	5	19	dynamics	dynamic	NOUN
ejpam-6163	5	20	and	and	CCONJ
ejpam-6163	5	21	nonuniform	nonuniform	ADJ
ejpam-6163	5	22	scaling	scale	VERB
ejpam-6163	5	23	parameters	parameter	NOUN
ejpam-6163	5	24	.	.	PUNCT
ejpam-6163	6	1	numerical	numerical	ADJ
ejpam-6163	6	2	simulations	simulation	NOUN
ejpam-6163	6	3	on	on	ADP
ejpam-6163	6	4	scale	scale	NOUN
ejpam-6163	6	5	-	-	PUNCT
ejpam-6163	6	6	free	free	ADJ
ejpam-6163	6	7	networks	network	NOUN
ejpam-6163	6	8	validate	validate	VERB
ejpam-6163	6	9	the	the	DET
ejpam-6163	6	10	theoretical	theoretical	ADJ
ejpam-6163	6	11	results	result	NOUN
ejpam-6163	6	12	.	.	PUNCT
ejpam-6163	7	1	the	the	DET
ejpam-6163	7	2	key	key	ADJ
ejpam-6163	7	3	innovation	innovation	NOUN
ejpam-6163	7	4	lies	lie	VERB
ejpam-6163	7	5	in	in	ADP
ejpam-6163	7	6	integrating	integrate	VERB
ejpam-6163	7	7	cgm	cgm	PROPN
ejpam-6163	7	8	with	with	ADP
ejpam-6163	7	9	hybrid	hybrid	ADJ
ejpam-6163	7	10	protocols	protocol	NOUN
ejpam-6163	7	11	to	to	PART
ejpam-6163	7	12	realize	realize	VERB
ejpam-6163	7	13	fast	fast	ADJ
ejpam-6163	7	14	and	and	CCONJ
ejpam-6163	7	15	scalable	scalable	ADJ
ejpam-6163	7	16	consensus	consensus	NOUN
ejpam-6163	7	17	in	in	ADP
ejpam-6163	7	18	finite	finite	ADJ
ejpam-6163	7	19	time	time	NOUN
ejpam-6163	7	20	for	for	ADP
ejpam-6163	7	21	complex	complex	ADJ
ejpam-6163	7	22	distributed	distribute	VERB
ejpam-6163	7	23	systems	system	NOUN
ejpam-6163	7	24	.	.	PUNCT
ejpam-6163	8	1	2020	2020	NUM
ejpam-6163	8	2	mathematics	mathematic	NOUN
ejpam-6163	8	3	subject	subject	NOUN
ejpam-6163	8	4	classifications	classification	NOUN
ejpam-6163	8	5	:	:	PUNCT
ejpam-6163	8	6	93c10	93c10	NUM
ejpam-6163	8	7	,	,	PUNCT
ejpam-6163	8	8	93c28	93c28	NUM
ejpam-6163	8	9	,	,	PUNCT
ejpam-6163	8	10	93c85	93c85	NUM
ejpam-6163	8	11	,	,	PUNCT
ejpam-6163	8	12	93d40	93d40	NUM
ejpam-6163	8	13	,	,	PUNCT
ejpam-6163	8	14	93d50	93d50	NUM
ejpam-6163	8	15	key	key	ADJ
ejpam-6163	8	16	words	word	NOUN
ejpam-6163	8	17	and	and	CCONJ
ejpam-6163	8	18	phrases	phrase	NOUN
ejpam-6163	8	19	:	:	PUNCT
ejpam-6163	8	20	multi	multi	ADJ
ejpam-6163	8	21	-	-	ADJ
ejpam-6163	8	22	agent	agent	ADJ
ejpam-6163	8	23	systems	system	NOUN
ejpam-6163	8	24	,	,	PUNCT
ejpam-6163	8	25	hybrid	hybrid	ADJ
ejpam-6163	8	26	dynamics	dynamic	NOUN
ejpam-6163	8	27	,	,	PUNCT
ejpam-6163	8	28	finite	finite	ADJ
ejpam-6163	8	29	-	-	PUNCT
ejpam-6163	8	30	time	time	NOUN
ejpam-6163	8	31	consensus	consensus	NOUN
ejpam-6163	8	32	,	,	PUNCT
ejpam-6163	8	33	scaled	scale	VERB
ejpam-6163	8	34	consensus	consensus	NOUN
ejpam-6163	8	35	,	,	PUNCT
ejpam-6163	8	36	conjugate	conjugate	ADJ
ejpam-6163	8	37	gradient	gradient	NOUN
ejpam-6163	8	38	method	method	NOUN
ejpam-6163	8	39	,	,	PUNCT
ejpam-6163	8	40	directed	direct	VERB
ejpam-6163	8	41	graph	graph	NOUN
ejpam-6163	8	42	1	1	NUM
ejpam-6163	8	43	.	.	PUNCT
ejpam-6163	9	1	introduction	introduction	NOUN
ejpam-6163	9	2	multi	multi	ADJ
ejpam-6163	9	3	-	-	ADJ
ejpam-6163	9	4	agent	agent	ADJ
ejpam-6163	9	5	systems	system	NOUN
ejpam-6163	9	6	(	(	PUNCT
ejpam-6163	9	7	mass	mass	PROPN
ejpam-6163	9	8	)	)	PUNCT
ejpam-6163	9	9	have	have	AUX
ejpam-6163	9	10	emerged	emerge	VERB
ejpam-6163	9	11	as	as	ADP
ejpam-6163	9	12	a	a	DET
ejpam-6163	9	13	central	central	ADJ
ejpam-6163	9	14	framework	framework	NOUN
ejpam-6163	9	15	in	in	ADP
ejpam-6163	9	16	modern	modern	ADJ
ejpam-6163	9	17	control	control	NOUN
ejpam-6163	9	18	theory	theory	NOUN
ejpam-6163	9	19	,	,	PUNCT
ejpam-6163	9	20	enabling	enable	VERB
ejpam-6163	9	21	a	a	DET
ejpam-6163	9	22	wide	wide	ADJ
ejpam-6163	9	23	range	range	NOUN
ejpam-6163	9	24	of	of	ADP
ejpam-6163	9	25	applications	application	NOUN
ejpam-6163	9	26	such	such	ADJ
ejpam-6163	9	27	as	as	ADP
ejpam-6163	9	28	robotic	robotic	ADJ
ejpam-6163	9	29	coordination	coordination	NOUN
ejpam-6163	9	30	,	,	PUNCT
ejpam-6163	9	31	distributed	distribute	VERB
ejpam-6163	9	32	sensor	sensor	NOUN
ejpam-6163	9	33	networks	network	NOUN
ejpam-6163	9	34	,	,	PUNCT
ejpam-6163	9	35	smart	smart	ADJ
ejpam-6163	9	36	grids	grid	NOUN
ejpam-6163	9	37	,	,	PUNCT
ejpam-6163	9	38	and	and	CCONJ
ejpam-6163	9	39	autonomous	autonomous	ADJ
ejpam-6163	9	40	vehicular	vehicular	ADJ
ejpam-6163	9	41	systems	system	NOUN
ejpam-6163	9	42	[	[	X
ejpam-6163	9	43	1	1	NUM
ejpam-6163	9	44	,	,	PUNCT
ejpam-6163	9	45	2	2	NUM
ejpam-6163	9	46	]	]	PUNCT
ejpam-6163	9	47	.	.	PUNCT
ejpam-6163	10	1	a	a	DET
ejpam-6163	10	2	key	key	ADJ
ejpam-6163	10	3	problem	problem	NOUN
ejpam-6163	10	4	in	in	ADP
ejpam-6163	10	5	mas	mas	PROPN
ejpam-6163	10	6	research	research	NOUN
ejpam-6163	10	7	is	be	AUX
ejpam-6163	10	8	achieving	achieve	VERB
ejpam-6163	10	9	consensus	consensus	NOUN
ejpam-6163	10	10	—	—	PUNCT
ejpam-6163	10	11	ensuring	ensure	VERB
ejpam-6163	10	12	that	that	SCONJ
ejpam-6163	10	13	agents	agent	NOUN
ejpam-6163	10	14	,	,	PUNCT
ejpam-6163	10	15	through	through	ADP
ejpam-6163	10	16	local	local	ADJ
ejpam-6163	10	17	interactions	interaction	NOUN
ejpam-6163	10	18	,	,	PUNCT
ejpam-6163	10	19	synchronize	synchronize	VERB
ejpam-6163	10	20	their	their	PRON
ejpam-6163	10	21	state	state	NOUN
ejpam-6163	10	22	trajectories	trajectory	NOUN
ejpam-6163	10	23	.	.	PUNCT
ejpam-6163	11	1	traditional	traditional	ADJ
ejpam-6163	11	2	consensus	consensus	NOUN
ejpam-6163	11	3	protocols	protocol	NOUN
ejpam-6163	11	4	have	have	AUX
ejpam-6163	11	5	focused	focus	VERB
ejpam-6163	11	6	on	on	ADP
ejpam-6163	11	7	either	either	CCONJ
ejpam-6163	11	8	continuous	continuous	ADJ
ejpam-6163	11	9	-	-	PUNCT
ejpam-6163	11	10	time	time	NOUN
ejpam-6163	11	11	or	or	CCONJ
ejpam-6163	11	12	discrete	discrete	ADJ
ejpam-6163	11	13	-	-	PUNCT
ejpam-6163	11	14	time	time	NOUN
ejpam-6163	11	15	agents	agent	NOUN
ejpam-6163	11	16	and	and	CCONJ
ejpam-6163	11	17	typically	typically	ADV
ejpam-6163	11	18	address	address	VERB
ejpam-6163	11	19	node	node	NOUN
ejpam-6163	11	20	-	-	PUNCT
ejpam-6163	11	21	based	base	VERB
ejpam-6163	11	22	consensus	consensus	NOUN
ejpam-6163	11	23	under	under	ADP
ejpam-6163	11	24	the	the	DET
ejpam-6163	11	25	assumption	assumption	NOUN
ejpam-6163	11	26	of	of	ADP
ejpam-6163	11	27	uniform	uniform	ADJ
ejpam-6163	11	28	coupling	coupling	NOUN
ejpam-6163	11	29	and	and	CCONJ
ejpam-6163	11	30	homogeneous	homogeneous	ADJ
ejpam-6163	11	31	dynamics	dynamic	NOUN
ejpam-6163	11	32	[	[	X
ejpam-6163	11	33	1	1	NUM
ejpam-6163	11	34	,	,	PUNCT
ejpam-6163	11	35	2	2	NUM
ejpam-6163	11	36	]	]	PUNCT
ejpam-6163	11	37	.	.	PUNCT
ejpam-6163	12	1	these	these	DET
ejpam-6163	12	2	classical	classical	ADJ
ejpam-6163	12	3	models	model	NOUN
ejpam-6163	12	4	,	,	PUNCT
ejpam-6163	12	5	although	although	SCONJ
ejpam-6163	12	6	foundational	foundational	ADJ
ejpam-6163	12	7	,	,	PUNCT
ejpam-6163	12	8	often	often	ADV
ejpam-6163	12	9	fall	fall	VERB
ejpam-6163	12	10	short	short	ADV
ejpam-6163	12	11	in	in	ADP
ejpam-6163	12	12	capturing	capture	VERB
ejpam-6163	12	13	real	real	ADJ
ejpam-6163	12	14	-	-	PUNCT
ejpam-6163	12	15	world	world	NOUN
ejpam-6163	12	16	heterogeneity	heterogeneity	NOUN
ejpam-6163	12	17	,	,	PUNCT
ejpam-6163	12	18	especially	especially	ADV
ejpam-6163	12	19	in	in	ADP
ejpam-6163	12	20	applications	application	NOUN
ejpam-6163	12	21	involving	involve	VERB
ejpam-6163	12	22	time	time	NOUN
ejpam-6163	12	23	-	-	PUNCT
ejpam-6163	12	24	varying	vary	VERB
ejpam-6163	12	25	communication	communication	NOUN
ejpam-6163	12	26	,	,	PUNCT
ejpam-6163	12	27	non	non	ADJ
ejpam-6163	12	28	-	-	ADJ
ejpam-6163	12	29	uniform	uniform	ADJ
ejpam-6163	12	30	interactions	interaction	NOUN
ejpam-6163	12	31	,	,	PUNCT
ejpam-6163	12	32	and	and	CCONJ
ejpam-6163	12	33	hybrid	hybrid	ADJ
ejpam-6163	12	34	dynamics	dynamic	NOUN
ejpam-6163	12	35	.	.	PUNCT
ejpam-6163	13	1	∗corresponding	∗corresponde	VERB
ejpam-6163	13	2	author	author	NOUN
ejpam-6163	13	3	.	.	PUNCT
ejpam-6163	14	1	doi	doi	NOUN
ejpam-6163	14	2	:	:	PUNCT
ejpam-6163	14	3	https://doi.org/10.29020/nybg.ejpam.v18i2.6163	https://doi.org/10.29020/nybg.ejpam.v18i2.6163	ADJ
ejpam-6163	14	4	email	email	NOUN
ejpam-6163	14	5	addresses	address	NOUN
ejpam-6163	14	6	:	:	PUNCT
ejpam-6163	14	7	mana.do@up.ac.th	mana.do@up.ac.th	PROPN
ejpam-6163	14	8	(	(	PUNCT
ejpam-6163	14	9	m.	m.	NOUN
ejpam-6163	14	10	donganont	donganont	PROPN
ejpam-6163	14	11	)	)	PUNCT
ejpam-6163	14	12	,	,	PUNCT
ejpam-6163	14	13	siriwan.in@up.ac.th	siriwan.in@up.ac.th	PROPN
ejpam-6163	14	14	(	(	PUNCT
ejpam-6163	14	15	s.	s.	PROPN
ejpam-6163	14	16	intawichai	intawichai	PROPN
ejpam-6163	14	17	)	)	PUNCT
ejpam-6163	14	18	,	,	PUNCT
ejpam-6163	14	19	saranya.ph@up.ac.th	saranya.ph@up.ac.th	PROPN
ejpam-6163	14	20	(	(	PUNCT
ejpam-6163	14	21	s.	s.	PROPN
ejpam-6163	14	22	phongchan	phongchan	PROPN
ejpam-6163	14	23	)	)	PUNCT
ejpam-6163	14	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6163	14	25	1	1	NUM
ejpam-6163	14	26	copyright	copyright	NOUN
ejpam-6163	14	27	:	:	PUNCT
ejpam-6163	15	1	©	©	PROPN
ejpam-6163	15	2	2025	2025	NUM
ejpam-6163	15	3	the	the	DET
ejpam-6163	15	4	author(s	author(s	NOUN
ejpam-6163	15	5	)	)	PUNCT
ejpam-6163	15	6	.	.	PUNCT
ejpam-6163	16	1	(	(	PUNCT
ejpam-6163	16	2	cc	cc	NOUN
ejpam-6163	16	3	by	by	ADP
ejpam-6163	16	4	-	-	PUNCT
ejpam-6163	16	5	nc	nc	PROPN
ejpam-6163	16	6	4.0	4.0	NUM
ejpam-6163	16	7	)	)	PUNCT
ejpam-6163	16	8	m.	m.	NOUN
ejpam-6163	16	9	donganont	donganont	PROPN
ejpam-6163	16	10	,	,	PUNCT
ejpam-6163	16	11	s.	s.	PROPN
ejpam-6163	16	12	intawichai	intawichai	PROPN
ejpam-6163	16	13	,	,	PUNCT
ejpam-6163	16	14	s.	s.	PROPN
ejpam-6163	16	15	phongchan	phongchan	PROPN
ejpam-6163	16	16	/	/	SYM
ejpam-6163	16	17	eur	eur	PROPN
ejpam-6163	16	18	.	.	PUNCT
ejpam-6163	17	1	j.	j.	PROPN
ejpam-6163	17	2	pure	pure	PROPN
ejpam-6163	17	3	appl	appl	PROPN
ejpam-6163	17	4	.	.	PROPN
ejpam-6163	17	5	math	math	PROPN
ejpam-6163	17	6	,	,	PUNCT
ejpam-6163	17	7	18	18	NUM
ejpam-6163	17	8	(	(	PUNCT
ejpam-6163	17	9	2	2	NUM
ejpam-6163	17	10	)	)	PUNCT
ejpam-6163	17	11	(	(	PUNCT
ejpam-6163	17	12	2025	2025	NUM
ejpam-6163	17	13	)	)	PUNCT
ejpam-6163	17	14	,	,	PUNCT
ejpam-6163	17	15	6163	6163	NUM
ejpam-6163	17	16	2	2	NUM
ejpam-6163	17	17	of	of	ADP
ejpam-6163	17	18	20	20	NUM
ejpam-6163	17	19	to	to	PART
ejpam-6163	17	20	address	address	VERB
ejpam-6163	17	21	these	these	DET
ejpam-6163	17	22	challenges	challenge	NOUN
ejpam-6163	17	23	,	,	PUNCT
ejpam-6163	17	24	recent	recent	ADJ
ejpam-6163	17	25	studies	study	NOUN
ejpam-6163	17	26	have	have	AUX
ejpam-6163	17	27	extended	extend	VERB
ejpam-6163	17	28	the	the	DET
ejpam-6163	17	29	consensus	consensus	NOUN
ejpam-6163	17	30	framework	framework	NOUN
ejpam-6163	17	31	to	to	PART
ejpam-6163	17	32	consider	consider	VERB
ejpam-6163	17	33	more	more	ADJ
ejpam-6163	17	34	generalized	generalized	ADJ
ejpam-6163	17	35	forms	form	NOUN
ejpam-6163	17	36	such	such	ADJ
ejpam-6163	17	37	as	as	ADP
ejpam-6163	17	38	edge	edge	NOUN
ejpam-6163	17	39	consensus	consensus	NOUN
ejpam-6163	18	1	[	[	X
ejpam-6163	18	2	3–5	3–5	NOUN
ejpam-6163	18	3	]	]	PUNCT
ejpam-6163	18	4	,	,	PUNCT
ejpam-6163	18	5	where	where	SCONJ
ejpam-6163	18	6	the	the	DET
ejpam-6163	18	7	goal	goal	NOUN
ejpam-6163	18	8	is	be	AUX
ejpam-6163	18	9	to	to	PART
ejpam-6163	18	10	synchronize	synchronize	VERB
ejpam-6163	18	11	the	the	DET
ejpam-6163	18	12	relative	relative	ADJ
ejpam-6163	18	13	differences	difference	NOUN
ejpam-6163	18	14	(	(	PUNCT
ejpam-6163	18	15	edges	edge	NOUN
ejpam-6163	18	16	)	)	PUNCT
ejpam-6163	18	17	between	between	ADP
ejpam-6163	18	18	agent	agent	NOUN
ejpam-6163	18	19	states	state	NOUN
ejpam-6163	18	20	,	,	PUNCT
ejpam-6163	18	21	and	and	CCONJ
ejpam-6163	18	22	scaled	scale	VERB
ejpam-6163	18	23	consensus	consensus	NOUN
ejpam-6163	19	1	[	[	X
ejpam-6163	19	2	6	6	NUM
ejpam-6163	19	3	,	,	PUNCT
ejpam-6163	19	4	7	7	NUM
ejpam-6163	19	5	]	]	PUNCT
ejpam-6163	19	6	,	,	PUNCT
ejpam-6163	19	7	where	where	SCONJ
ejpam-6163	19	8	agents	agent	NOUN
ejpam-6163	19	9	achieve	achieve	VERB
ejpam-6163	19	10	agreement	agreement	NOUN
ejpam-6163	19	11	under	under	ADP
ejpam-6163	19	12	fixed	fix	VERB
ejpam-6163	19	13	or	or	CCONJ
ejpam-6163	19	14	dynamic	dynamic	ADJ
ejpam-6163	19	15	proportional	proportional	ADJ
ejpam-6163	19	16	scaling	scaling	NOUN
ejpam-6163	19	17	rules	rule	NOUN
ejpam-6163	19	18	.	.	PUNCT
ejpam-6163	20	1	edge	edge	NOUN
ejpam-6163	20	2	consensus	consensus	NOUN
ejpam-6163	20	3	is	be	AUX
ejpam-6163	20	4	particularly	particularly	ADV
ejpam-6163	20	5	relevant	relevant	ADJ
ejpam-6163	20	6	in	in	ADP
ejpam-6163	20	7	force	force	NOUN
ejpam-6163	20	8	coordination	coordination	NOUN
ejpam-6163	20	9	,	,	PUNCT
ejpam-6163	20	10	energy	energy	NOUN
ejpam-6163	20	11	balance	balance	NOUN
ejpam-6163	20	12	,	,	PUNCT
ejpam-6163	20	13	and	and	CCONJ
ejpam-6163	20	14	distributed	distribute	VERB
ejpam-6163	20	15	resource	resource	NOUN
ejpam-6163	20	16	allocation	allocation	NOUN
ejpam-6163	20	17	,	,	PUNCT
ejpam-6163	20	18	while	while	SCONJ
ejpam-6163	20	19	scaled	scaled	ADJ
ejpam-6163	20	20	consensus	consensus	NOUN
ejpam-6163	20	21	arises	arise	VERB
ejpam-6163	20	22	naturally	naturally	ADV
ejpam-6163	20	23	in	in	ADP
ejpam-6163	20	24	networks	network	NOUN
ejpam-6163	20	25	with	with	ADP
ejpam-6163	20	26	hierarchical	hierarchical	ADJ
ejpam-6163	20	27	or	or	CCONJ
ejpam-6163	20	28	weighted	weighted	ADJ
ejpam-6163	20	29	roles	role	NOUN
ejpam-6163	20	30	.	.	PUNCT
ejpam-6163	21	1	however	however	ADV
ejpam-6163	21	2	,	,	PUNCT
ejpam-6163	21	3	the	the	DET
ejpam-6163	21	4	simultaneous	simultaneous	ADJ
ejpam-6163	21	5	treatment	treatment	NOUN
ejpam-6163	21	6	of	of	ADP
ejpam-6163	21	7	these	these	DET
ejpam-6163	21	8	phenomena	phenomenon	NOUN
ejpam-6163	21	9	in	in	ADP
ejpam-6163	21	10	hybrid	hybrid	ADJ
ejpam-6163	21	11	multiagent	multiagent	NOUN
ejpam-6163	21	12	systems	system	NOUN
ejpam-6163	21	13	(	(	PUNCT
ejpam-6163	21	14	hmass	hmass	NOUN
ejpam-6163	21	15	)	)	PUNCT
ejpam-6163	21	16	,	,	PUNCT
ejpam-6163	21	17	which	which	PRON
ejpam-6163	21	18	consist	consist	VERB
ejpam-6163	21	19	of	of	ADP
ejpam-6163	21	20	both	both	CCONJ
ejpam-6163	21	21	continuous	continuous	ADJ
ejpam-6163	21	22	-	-	PUNCT
ejpam-6163	21	23	time	time	NOUN
ejpam-6163	21	24	and	and	CCONJ
ejpam-6163	21	25	discrete	discrete	ADJ
ejpam-6163	21	26	-	-	PUNCT
ejpam-6163	21	27	time	time	NOUN
ejpam-6163	21	28	agents	agent	NOUN
ejpam-6163	21	29	,	,	PUNCT
ejpam-6163	21	30	remains	remain	VERB
ejpam-6163	21	31	underdeveloped	underdeveloped	ADJ
ejpam-6163	21	32	.	.	PUNCT
ejpam-6163	22	1	recent	recent	ADJ
ejpam-6163	22	2	advances	advance	NOUN
ejpam-6163	22	3	in	in	ADP
ejpam-6163	22	4	generalized	generalized	ADJ
ejpam-6163	22	5	operator	operator	NOUN
ejpam-6163	22	6	theory	theory	NOUN
ejpam-6163	22	7	and	and	CCONJ
ejpam-6163	22	8	analytical	analytical	ADJ
ejpam-6163	22	9	methods	method	NOUN
ejpam-6163	22	10	also	also	ADV
ejpam-6163	22	11	offer	offer	VERB
ejpam-6163	22	12	promising	promising	ADJ
ejpam-6163	22	13	directions	direction	NOUN
ejpam-6163	22	14	for	for	ADP
ejpam-6163	22	15	extending	extend	VERB
ejpam-6163	22	16	the	the	DET
ejpam-6163	22	17	modeling	modeling	NOUN
ejpam-6163	22	18	and	and	CCONJ
ejpam-6163	22	19	solution	solution	NOUN
ejpam-6163	22	20	structure	structure	NOUN
ejpam-6163	22	21	of	of	ADP
ejpam-6163	22	22	consensus	consensus	NOUN
ejpam-6163	22	23	problems	problem	NOUN
ejpam-6163	22	24	(	(	PUNCT
ejpam-6163	22	25	see	see	VERB
ejpam-6163	22	26	,	,	PUNCT
ejpam-6163	22	27	e.g.	e.g.	ADV
ejpam-6163	22	28	,	,	PUNCT
ejpam-6163	22	29	[	[	X
ejpam-6163	22	30	8	8	NUM
ejpam-6163	22	31	,	,	PUNCT
ejpam-6163	22	32	9	9	NUM
ejpam-6163	22	33	]	]	NUM
ejpam-6163	22	34	)	)	PUNCT
ejpam-6163	22	35	.	.	PUNCT
ejpam-6163	23	1	hybrid	hybrid	ADJ
ejpam-6163	23	2	mass	mass	NOUN
ejpam-6163	23	3	have	have	AUX
ejpam-6163	23	4	been	be	AUX
ejpam-6163	23	5	investigated	investigate	VERB
ejpam-6163	23	6	in	in	ADP
ejpam-6163	23	7	various	various	ADJ
ejpam-6163	23	8	settings	setting	NOUN
ejpam-6163	23	9	,	,	PUNCT
ejpam-6163	23	10	such	such	ADJ
ejpam-6163	23	11	as	as	ADP
ejpam-6163	23	12	in	in	ADP
ejpam-6163	23	13	the	the	DET
ejpam-6163	23	14	works	work	NOUN
ejpam-6163	23	15	of	of	ADP
ejpam-6163	23	16	liu	liu	PROPN
ejpam-6163	23	17	et	et	PROPN
ejpam-6163	23	18	al	al	PROPN
ejpam-6163	23	19	.	.	PUNCT
ejpam-6163	24	1	[	[	X
ejpam-6163	24	2	10	10	NUM
ejpam-6163	24	3	]	]	PUNCT
ejpam-6163	24	4	and	and	CCONJ
ejpam-6163	24	5	zheng	zheng	PROPN
ejpam-6163	24	6	et	et	PROPN
ejpam-6163	24	7	al	al	PROPN
ejpam-6163	24	8	.	.	PUNCT
ejpam-6163	25	1	[	[	X
ejpam-6163	25	2	11	11	NUM
ejpam-6163	25	3	]	]	PUNCT
ejpam-6163	25	4	,	,	PUNCT
ejpam-6163	25	5	which	which	PRON
ejpam-6163	25	6	explore	explore	VERB
ejpam-6163	25	7	hybrid	hybrid	ADJ
ejpam-6163	25	8	protocols	protocol	NOUN
ejpam-6163	25	9	for	for	ADP
ejpam-6163	25	10	achieving	achieve	VERB
ejpam-6163	25	11	asymptotic	asymptotic	ADJ
ejpam-6163	25	12	consensus	consensus	NOUN
ejpam-6163	25	13	.	.	PUNCT
ejpam-6163	26	1	nevertheless	nevertheless	ADV
ejpam-6163	26	2	,	,	PUNCT
ejpam-6163	26	3	most	most	ADJ
ejpam-6163	26	4	existing	exist	VERB
ejpam-6163	26	5	results	result	NOUN
ejpam-6163	26	6	are	be	AUX
ejpam-6163	26	7	limited	limit	VERB
ejpam-6163	26	8	to	to	ADP
ejpam-6163	26	9	either	either	CCONJ
ejpam-6163	26	10	continuous	continuous	ADJ
ejpam-6163	26	11	-	-	PUNCT
ejpam-6163	26	12	time	time	NOUN
ejpam-6163	26	13	or	or	CCONJ
ejpam-6163	26	14	discrete	discrete	ADJ
ejpam-6163	26	15	-	-	PUNCT
ejpam-6163	26	16	time	time	NOUN
ejpam-6163	26	17	settings	setting	NOUN
ejpam-6163	26	18	,	,	PUNCT
ejpam-6163	26	19	or	or	CCONJ
ejpam-6163	26	20	rely	rely	VERB
ejpam-6163	26	21	on	on	ADP
ejpam-6163	26	22	asymptotic	asymptotic	ADJ
ejpam-6163	26	23	convergence	convergence	NOUN
ejpam-6163	26	24	,	,	PUNCT
ejpam-6163	26	25	which	which	PRON
ejpam-6163	26	26	can	can	AUX
ejpam-6163	26	27	be	be	AUX
ejpam-6163	26	28	impractical	impractical	ADJ
ejpam-6163	26	29	in	in	ADP
ejpam-6163	26	30	time	time	NOUN
ejpam-6163	26	31	-	-	PUNCT
ejpam-6163	26	32	sensitive	sensitive	ADJ
ejpam-6163	26	33	applications	application	NOUN
ejpam-6163	26	34	like	like	ADP
ejpam-6163	26	35	real	real	ADJ
ejpam-6163	26	36	-	-	PUNCT
ejpam-6163	26	37	time	time	NOUN
ejpam-6163	26	38	robotic	robotic	ADJ
ejpam-6163	26	39	coordination	coordination	NOUN
ejpam-6163	26	40	and	and	CCONJ
ejpam-6163	26	41	networked	networked	ADJ
ejpam-6163	26	42	control	control	NOUN
ejpam-6163	27	1	[	[	X
ejpam-6163	27	2	12	12	NUM
ejpam-6163	27	3	,	,	PUNCT
ejpam-6163	27	4	13	13	NUM
ejpam-6163	27	5	]	]	PUNCT
ejpam-6163	27	6	.	.	PUNCT
ejpam-6163	28	1	finite	finite	ADJ
ejpam-6163	28	2	-	-	PUNCT
ejpam-6163	28	3	time	time	NOUN
ejpam-6163	28	4	consensus	consensus	NOUN
ejpam-6163	28	5	,	,	PUNCT
ejpam-6163	28	6	by	by	ADP
ejpam-6163	28	7	contrast	contrast	NOUN
ejpam-6163	28	8	,	,	PUNCT
ejpam-6163	28	9	ensures	ensure	VERB
ejpam-6163	28	10	that	that	SCONJ
ejpam-6163	28	11	the	the	DET
ejpam-6163	28	12	network	network	NOUN
ejpam-6163	28	13	achieves	achieve	VERB
ejpam-6163	28	14	synchronization	synchronization	NOUN
ejpam-6163	28	15	within	within	ADP
ejpam-6163	28	16	a	a	DET
ejpam-6163	28	17	finite	finite	ADJ
ejpam-6163	28	18	number	number	NOUN
ejpam-6163	28	19	of	of	ADP
ejpam-6163	28	20	steps	step	NOUN
ejpam-6163	28	21	and	and	CCONJ
ejpam-6163	28	22	has	have	AUX
ejpam-6163	28	23	received	receive	VERB
ejpam-6163	28	24	growing	grow	VERB
ejpam-6163	28	25	attention	attention	NOUN
ejpam-6163	28	26	in	in	ADP
ejpam-6163	28	27	the	the	DET
ejpam-6163	28	28	context	context	NOUN
ejpam-6163	28	29	of	of	ADP
ejpam-6163	28	30	homogeneous	homogeneous	ADJ
ejpam-6163	28	31	mass	mass	NOUN
ejpam-6163	29	1	[	[	X
ejpam-6163	29	2	14	14	NUM
ejpam-6163	29	3	,	,	PUNCT
ejpam-6163	29	4	15	15	NUM
ejpam-6163	29	5	]	]	PUNCT
ejpam-6163	29	6	.	.	PUNCT
ejpam-6163	30	1	yet	yet	ADV
ejpam-6163	30	2	,	,	PUNCT
ejpam-6163	30	3	the	the	DET
ejpam-6163	30	4	finite	finite	ADJ
ejpam-6163	30	5	-	-	PUNCT
ejpam-6163	30	6	time	time	NOUN
ejpam-6163	30	7	scaled	scale	VERB
ejpam-6163	30	8	consensus	consensus	NOUN
ejpam-6163	30	9	problem	problem	NOUN
ejpam-6163	30	10	for	for	ADP
ejpam-6163	30	11	hmass	hmass	NOUN
ejpam-6163	30	12	—	—	PUNCT
ejpam-6163	30	13	especially	especially	ADV
ejpam-6163	30	14	with	with	ADP
ejpam-6163	30	15	heterogeneous	heterogeneous	ADJ
ejpam-6163	30	16	weights	weight	NOUN
ejpam-6163	30	17	and	and	CCONJ
ejpam-6163	30	18	non	non	ADJ
ejpam-6163	30	19	-	-	ADJ
ejpam-6163	30	20	uniform	uniform	ADJ
ejpam-6163	30	21	dynamics	dynamic	NOUN
ejpam-6163	30	22	—	—	PUNCT
ejpam-6163	30	23	remains	remain	VERB
ejpam-6163	30	24	largely	largely	ADV
ejpam-6163	30	25	open	open	ADJ
ejpam-6163	30	26	.	.	PUNCT
ejpam-6163	31	1	the	the	DET
ejpam-6163	31	2	concept	concept	NOUN
ejpam-6163	31	3	of	of	ADP
ejpam-6163	31	4	scaled	scaled	ADJ
ejpam-6163	31	5	consensus	consensus	NOUN
ejpam-6163	31	6	was	be	AUX
ejpam-6163	31	7	formally	formally	ADV
ejpam-6163	31	8	introduced	introduce	VERB
ejpam-6163	31	9	by	by	ADP
ejpam-6163	31	10	roy	roy	PROPN
ejpam-6163	31	11	[	[	X
ejpam-6163	31	12	6	6	NUM
ejpam-6163	31	13	]	]	PUNCT
ejpam-6163	31	14	,	,	PUNCT
ejpam-6163	31	15	and	and	CCONJ
ejpam-6163	31	16	subsequently	subsequently	ADV
ejpam-6163	31	17	extended	extend	VERB
ejpam-6163	31	18	through	through	ADP
ejpam-6163	31	19	impulsive	impulsive	ADJ
ejpam-6163	31	20	control	control	NOUN
ejpam-6163	31	21	techniques	technique	NOUN
ejpam-6163	31	22	[	[	X
ejpam-6163	31	23	7	7	NUM
ejpam-6163	31	24	,	,	PUNCT
ejpam-6163	31	25	16	16	NUM
ejpam-6163	31	26	]	]	PUNCT
ejpam-6163	31	27	,	,	PUNCT
ejpam-6163	31	28	event	event	NOUN
ejpam-6163	31	29	-	-	PUNCT
ejpam-6163	31	30	triggered	trigger	VERB
ejpam-6163	31	31	communication	communication	NOUN
ejpam-6163	31	32	[	[	X
ejpam-6163	31	33	5	5	NUM
ejpam-6163	31	34	,	,	PUNCT
ejpam-6163	31	35	17	17	NUM
ejpam-6163	31	36	]	]	PUNCT
ejpam-6163	31	37	,	,	PUNCT
ejpam-6163	31	38	and	and	CCONJ
ejpam-6163	31	39	adaptive	adaptive	ADJ
ejpam-6163	31	40	weight	weight	NOUN
ejpam-6163	31	41	tuning	tuning	NOUN
ejpam-6163	31	42	[	[	X
ejpam-6163	31	43	18	18	NUM
ejpam-6163	31	44	]	]	PUNCT
ejpam-6163	31	45	.	.	PUNCT
ejpam-6163	32	1	donganont	donganont	PROPN
ejpam-6163	32	2	and	and	CCONJ
ejpam-6163	32	3	liu	liu	PROPN
ejpam-6163	33	1	[	[	X
ejpam-6163	33	2	7	7	X
ejpam-6163	33	3	]	]	PUNCT
ejpam-6163	33	4	derived	derive	VERB
ejpam-6163	33	5	sufficient	sufficient	ADJ
ejpam-6163	33	6	conditions	condition	NOUN
ejpam-6163	33	7	for	for	ADP
ejpam-6163	33	8	scaled	scale	VERB
ejpam-6163	33	9	consensus	consensus	NOUN
ejpam-6163	33	10	under	under	ADP
ejpam-6163	33	11	impulsive	impulsive	ADJ
ejpam-6163	33	12	protocols	protocol	NOUN
ejpam-6163	33	13	,	,	PUNCT
ejpam-6163	33	14	while	while	SCONJ
ejpam-6163	33	15	more	more	ADJ
ejpam-6163	33	16	recent	recent	ADJ
ejpam-6163	33	17	results	result	NOUN
ejpam-6163	33	18	in	in	ADP
ejpam-6163	33	19	[	[	X
ejpam-6163	33	20	19	19	NUM
ejpam-6163	33	21	]	]	PUNCT
ejpam-6163	33	22	showed	show	VERB
ejpam-6163	33	23	that	that	SCONJ
ejpam-6163	33	24	properly	properly	ADV
ejpam-6163	33	25	designed	design	VERB
ejpam-6163	33	26	leader	leader	NOUN
ejpam-6163	33	27	-	-	PUNCT
ejpam-6163	33	28	following	follow	VERB
ejpam-6163	33	29	strategies	strategy	NOUN
ejpam-6163	33	30	can	can	AUX
ejpam-6163	33	31	ensure	ensure	VERB
ejpam-6163	33	32	finite	finite	ADJ
ejpam-6163	33	33	-	-	PUNCT
ejpam-6163	33	34	time	time	NOUN
ejpam-6163	33	35	convergence	convergence	NOUN
ejpam-6163	33	36	.	.	PUNCT
ejpam-6163	34	1	however	however	ADV
ejpam-6163	34	2	,	,	PUNCT
ejpam-6163	34	3	these	these	DET
ejpam-6163	34	4	approaches	approach	VERB
ejpam-6163	34	5	either	either	CCONJ
ejpam-6163	34	6	lack	lack	VERB
ejpam-6163	34	7	generality	generality	NOUN
ejpam-6163	34	8	in	in	ADP
ejpam-6163	34	9	hybrid	hybrid	ADJ
ejpam-6163	34	10	dynamics	dynamic	NOUN
ejpam-6163	34	11	or	or	CCONJ
ejpam-6163	34	12	do	do	AUX
ejpam-6163	34	13	not	not	PART
ejpam-6163	34	14	offer	offer	VERB
ejpam-6163	34	15	systematic	systematic	ADJ
ejpam-6163	34	16	control	control	NOUN
ejpam-6163	34	17	design	design	NOUN
ejpam-6163	34	18	with	with	ADP
ejpam-6163	34	19	guaranteed	guarantee	VERB
ejpam-6163	34	20	convergence	convergence	NOUN
ejpam-6163	34	21	in	in	ADP
ejpam-6163	34	22	finite	finite	ADJ
ejpam-6163	34	23	steps	step	NOUN
ejpam-6163	34	24	.	.	PUNCT
ejpam-6163	35	1	to	to	PART
ejpam-6163	35	2	overcome	overcome	VERB
ejpam-6163	35	3	these	these	DET
ejpam-6163	35	4	limitations	limitation	NOUN
ejpam-6163	35	5	,	,	PUNCT
ejpam-6163	35	6	we	we	PRON
ejpam-6163	35	7	propose	propose	VERB
ejpam-6163	35	8	a	a	DET
ejpam-6163	35	9	novel	novel	NOUN
ejpam-6163	35	10	distributed	distribute	VERB
ejpam-6163	35	11	protocol	protocol	NOUN
ejpam-6163	35	12	that	that	PRON
ejpam-6163	35	13	achieves	achieve	VERB
ejpam-6163	35	14	finite	finite	ADJ
ejpam-6163	35	15	-	-	PUNCT
ejpam-6163	35	16	time	time	NOUN
ejpam-6163	35	17	scaled	scaled	ADJ
ejpam-6163	35	18	consensus	consensus	NOUN
ejpam-6163	35	19	for	for	ADP
ejpam-6163	35	20	hmass	hmass	NOUN
ejpam-6163	35	21	using	use	VERB
ejpam-6163	35	22	the	the	DET
ejpam-6163	35	23	conjugate	conjugate	ADJ
ejpam-6163	35	24	gradient	gradient	NOUN
ejpam-6163	35	25	method	method	NOUN
ejpam-6163	35	26	(	(	PUNCT
ejpam-6163	35	27	cgm	cgm	PROPN
ejpam-6163	35	28	)	)	PUNCT
ejpam-6163	35	29	,	,	PUNCT
ejpam-6163	35	30	originally	originally	ADV
ejpam-6163	35	31	developed	develop	VERB
ejpam-6163	35	32	by	by	ADP
ejpam-6163	35	33	hestenes	hestene	NOUN
ejpam-6163	35	34	and	and	CCONJ
ejpam-6163	35	35	stiefel	stiefel	NOUN
ejpam-6163	36	1	[	[	X
ejpam-6163	36	2	20	20	NUM
ejpam-6163	36	3	]	]	PUNCT
ejpam-6163	36	4	and	and	CCONJ
ejpam-6163	36	5	further	far	ADV
ejpam-6163	36	6	formalized	formalize	VERB
ejpam-6163	36	7	in	in	ADP
ejpam-6163	36	8	numerical	numerical	ADJ
ejpam-6163	36	9	analysis	analysis	NOUN
ejpam-6163	36	10	texts	text	NOUN
ejpam-6163	36	11	such	such	ADJ
ejpam-6163	36	12	as	as	ADP
ejpam-6163	36	13	axelsson	axelsson	PROPN
ejpam-6163	36	14	and	and	CCONJ
ejpam-6163	36	15	barker	barker	PROPN
ejpam-6163	37	1	[	[	X
ejpam-6163	37	2	21	21	NUM
ejpam-6163	37	3	]	]	PUNCT
ejpam-6163	37	4	.	.	PUNCT
ejpam-6163	38	1	the	the	DET
ejpam-6163	38	2	cgm	cgm	PROPN
ejpam-6163	38	3	is	be	AUX
ejpam-6163	38	4	known	know	VERB
ejpam-6163	38	5	for	for	ADP
ejpam-6163	38	6	its	its	PRON
ejpam-6163	38	7	rapid	rapid	ADJ
ejpam-6163	38	8	convergence	convergence	NOUN
ejpam-6163	38	9	properties	property	NOUN
ejpam-6163	38	10	,	,	PUNCT
ejpam-6163	38	11	guaranteeing	guarantee	VERB
ejpam-6163	38	12	exact	exact	ADJ
ejpam-6163	38	13	solutions	solution	NOUN
ejpam-6163	38	14	to	to	AUX
ejpam-6163	38	15	linear	linear	VERB
ejpam-6163	38	16	systems	system	NOUN
ejpam-6163	38	17	within	within	ADP
ejpam-6163	38	18	n	n	PRON
ejpam-6163	38	19	steps	step	NOUN
ejpam-6163	38	20	for	for	ADP
ejpam-6163	38	21	n	n	CCONJ
ejpam-6163	38	22	-dimensional	-dimensional	ADJ
ejpam-6163	38	23	positive	positive	ADJ
ejpam-6163	38	24	definite	definite	ADJ
ejpam-6163	38	25	systems	system	NOUN
ejpam-6163	38	26	.	.	PUNCT
ejpam-6163	39	1	this	this	DET
ejpam-6163	39	2	paper	paper	NOUN
ejpam-6163	39	3	reformulates	reformulate	VERB
ejpam-6163	39	4	the	the	DET
ejpam-6163	39	5	finite	finite	ADJ
ejpam-6163	39	6	-	-	PUNCT
ejpam-6163	39	7	time	time	NOUN
ejpam-6163	39	8	scaled	scale	VERB
ejpam-6163	39	9	consensus	consensus	NOUN
ejpam-6163	39	10	problem	problem	NOUN
ejpam-6163	39	11	as	as	ADP
ejpam-6163	39	12	a	a	DET
ejpam-6163	39	13	symmetric	symmetric	ADJ
ejpam-6163	39	14	positive	positive	ADJ
ejpam-6163	39	15	definite	definite	ADJ
ejpam-6163	39	16	system	system	NOUN
ejpam-6163	39	17	cy∗	cy∗	NOUN
ejpam-6163	40	1	=	=	SYM
ejpam-6163	40	2	b	b	PROPN
ejpam-6163	40	3	,	,	PUNCT
ejpam-6163	40	4	where	where	SCONJ
ejpam-6163	40	5	c	c	NOUN
ejpam-6163	40	6	=	=	SYM
ejpam-6163	40	7	ρi	ρi	PROPN
ejpam-6163	40	8	+	+	NOUN
ejpam-6163	40	9	h|b|l	h|b|l	PROPN
ejpam-6163	40	10	,	,	PUNCT
ejpam-6163	40	11	with	with	ADP
ejpam-6163	40	12	h	h	NOUN
ejpam-6163	40	13	being	be	AUX
ejpam-6163	40	14	a	a	DET
ejpam-6163	40	15	diagonal	diagonal	ADJ
ejpam-6163	40	16	step	step	NOUN
ejpam-6163	40	17	-	-	PUNCT
ejpam-6163	40	18	size	size	NOUN
ejpam-6163	40	19	matrix	matrix	NOUN
ejpam-6163	40	20	,	,	PUNCT
ejpam-6163	40	21	b	b	X
ejpam-6163	40	22	=	=	SYM
ejpam-6163	40	23	diag(β1	diag(β1	PROPN
ejpam-6163	40	24	,	,	PUNCT
ejpam-6163	40	25	.	.	PUNCT
ejpam-6163	40	26	.	.	PUNCT
ejpam-6163	40	27	.	.	PUNCT
ejpam-6163	41	1	,	,	PUNCT
ejpam-6163	41	2	βn	βn	PROPN
ejpam-6163	41	3	)	)	PUNCT
ejpam-6163	41	4	,	,	PUNCT
ejpam-6163	41	5	and	and	CCONJ
ejpam-6163	41	6	l	l	NOUN
ejpam-6163	41	7	the	the	DET
ejpam-6163	41	8	laplacian	laplacian	NOUN
ejpam-6163	41	9	of	of	ADP
ejpam-6163	41	10	the	the	DET
ejpam-6163	41	11	underlying	underlying	ADJ
ejpam-6163	41	12	directed	direct	VERB
ejpam-6163	41	13	graph	graph	NOUN
ejpam-6163	41	14	[	[	X
ejpam-6163	41	15	22	22	NUM
ejpam-6163	41	16	,	,	PUNCT
ejpam-6163	41	17	23	23	NUM
ejpam-6163	41	18	]	]	PUNCT
ejpam-6163	41	19	.	.	PUNCT
ejpam-6163	42	1	our	our	PRON
ejpam-6163	42	2	analysis	analysis	NOUN
ejpam-6163	42	3	considers	consider	VERB
ejpam-6163	42	4	two	two	NUM
ejpam-6163	42	5	hybrid	hybrid	ADJ
ejpam-6163	42	6	protocols	protocol	NOUN
ejpam-6163	42	7	.	.	PUNCT
ejpam-6163	43	1	case	case	NOUN
ejpam-6163	43	2	i	i	PRON
ejpam-6163	43	3	assumes	assume	VERB
ejpam-6163	43	4	that	that	SCONJ
ejpam-6163	43	5	all	all	DET
ejpam-6163	43	6	agents	agent	NOUN
ejpam-6163	43	7	update	update	NOUN
ejpam-6163	43	8	based	base	VERB
ejpam-6163	43	9	on	on	ADP
ejpam-6163	43	10	sampled	sampled	ADJ
ejpam-6163	43	11	information	information	NOUN
ejpam-6163	43	12	,	,	PUNCT
ejpam-6163	43	13	while	while	SCONJ
ejpam-6163	43	14	case	case	NOUN
ejpam-6163	43	15	ii	ii	NOUN
ejpam-6163	43	16	allows	allow	VERB
ejpam-6163	43	17	continuous	continuous	ADJ
ejpam-6163	43	18	-	-	PUNCT
ejpam-6163	43	19	time	time	NOUN
ejpam-6163	43	20	agents	agent	NOUN
ejpam-6163	43	21	to	to	PART
ejpam-6163	43	22	access	access	VERB
ejpam-6163	43	23	their	their	PRON
ejpam-6163	43	24	current	current	ADJ
ejpam-6163	43	25	states	state	NOUN
ejpam-6163	43	26	in	in	ADP
ejpam-6163	43	27	real	real	ADJ
ejpam-6163	43	28	time	time	NOUN
ejpam-6163	43	29	.	.	PUNCT
ejpam-6163	44	1	for	for	ADP
ejpam-6163	44	2	each	each	DET
ejpam-6163	44	3	case	case	NOUN
ejpam-6163	44	4	,	,	PUNCT
ejpam-6163	44	5	we	we	PRON
ejpam-6163	44	6	derive	derive	VERB
ejpam-6163	44	7	the	the	DET
ejpam-6163	44	8	necessary	necessary	ADJ
ejpam-6163	44	9	and	and	CCONJ
ejpam-6163	44	10	sufficient	sufficient	ADJ
ejpam-6163	44	11	conditions	condition	NOUN
ejpam-6163	44	12	for	for	ADP
ejpam-6163	44	13	convergence	convergence	NOUN
ejpam-6163	44	14	under	under	ADP
ejpam-6163	44	15	the	the	DET
ejpam-6163	44	16	cgm	cgm	NOUN
ejpam-6163	44	17	-	-	PUNCT
ejpam-6163	44	18	based	base	VERB
ejpam-6163	44	19	update	update	NOUN
ejpam-6163	44	20	rule	rule	NOUN
ejpam-6163	44	21	,	,	PUNCT
ejpam-6163	44	22	showing	show	VERB
ejpam-6163	44	23	that	that	SCONJ
ejpam-6163	44	24	consensus	consensus	NOUN
ejpam-6163	44	25	is	be	AUX
ejpam-6163	44	26	reached	reach	VERB
ejpam-6163	44	27	in	in	ADP
ejpam-6163	44	28	finite	finite	ADJ
ejpam-6163	44	29	time	time	NOUN
ejpam-6163	44	30	when	when	SCONJ
ejpam-6163	44	31	the	the	DET
ejpam-6163	44	32	sampling	sample	VERB
ejpam-6163	44	33	period	period	NOUN
ejpam-6163	44	34	satisfies	satisfy	VERB
ejpam-6163	44	35	0	0	PUNCT
ejpam-6163	44	36	<	<	X
ejpam-6163	44	37	h	h	X
ejpam-6163	44	38	<	<	X
ejpam-6163	44	39	1	1	NUM
ejpam-6163	44	40	dmaxβmax	dmaxβmax	NOUN
ejpam-6163	44	41	and	and	CCONJ
ejpam-6163	44	42	the	the	DET
ejpam-6163	44	43	network	network	NOUN
ejpam-6163	44	44	contains	contain	VERB
ejpam-6163	44	45	a	a	DET
ejpam-6163	44	46	directed	directed	ADJ
ejpam-6163	44	47	spanning	span	VERB
ejpam-6163	44	48	tree	tree	NOUN
ejpam-6163	44	49	.	.	PUNCT
ejpam-6163	45	1	the	the	DET
ejpam-6163	45	2	theoretical	theoretical	ADJ
ejpam-6163	45	3	developments	development	NOUN
ejpam-6163	45	4	are	be	AUX
ejpam-6163	45	5	validated	validate	VERB
ejpam-6163	45	6	through	through	ADP
ejpam-6163	45	7	numerical	numerical	PROPN
ejpam-6163	45	8	m.	m.	PROPN
ejpam-6163	45	9	donganont	donganont	PROPN
ejpam-6163	45	10	,	,	PUNCT
ejpam-6163	45	11	s.	s.	PROPN
ejpam-6163	45	12	intawichai	intawichai	PROPN
ejpam-6163	45	13	,	,	PUNCT
ejpam-6163	45	14	s.	s.	PROPN
ejpam-6163	45	15	phongchan	phongchan	PROPN
ejpam-6163	45	16	/	/	SYM
ejpam-6163	45	17	eur	eur	PROPN
ejpam-6163	45	18	.	.	PUNCT
ejpam-6163	46	1	j.	j.	PROPN
ejpam-6163	46	2	pure	pure	PROPN
ejpam-6163	46	3	appl	appl	PROPN
ejpam-6163	46	4	.	.	PROPN
ejpam-6163	46	5	math	math	PROPN
ejpam-6163	46	6	,	,	PUNCT
ejpam-6163	46	7	18	18	NUM
ejpam-6163	46	8	(	(	PUNCT
ejpam-6163	46	9	2	2	NUM
ejpam-6163	46	10	)	)	PUNCT
ejpam-6163	46	11	(	(	PUNCT
ejpam-6163	46	12	2025	2025	NUM
ejpam-6163	46	13	)	)	PUNCT
ejpam-6163	46	14	,	,	PUNCT
ejpam-6163	46	15	6163	6163	NUM
ejpam-6163	46	16	3	3	NUM
ejpam-6163	46	17	of	of	ADP
ejpam-6163	46	18	20	20	NUM
ejpam-6163	46	19	simulations	simulation	NOUN
ejpam-6163	46	20	over	over	ADP
ejpam-6163	46	21	large	large	ADJ
ejpam-6163	46	22	-	-	PUNCT
ejpam-6163	46	23	scale	scale	NOUN
ejpam-6163	46	24	directed	direct	VERB
ejpam-6163	46	25	scale	scale	NOUN
ejpam-6163	46	26	-	-	PUNCT
ejpam-6163	46	27	free	free	ADJ
ejpam-6163	46	28	networks	network	NOUN
ejpam-6163	46	29	.	.	PUNCT
ejpam-6163	47	1	the	the	DET
ejpam-6163	47	2	contributions	contribution	NOUN
ejpam-6163	47	3	of	of	ADP
ejpam-6163	47	4	this	this	DET
ejpam-6163	47	5	paper	paper	NOUN
ejpam-6163	47	6	are	be	AUX
ejpam-6163	47	7	fourfold	fourfold	ADJ
ejpam-6163	47	8	:	:	PUNCT
ejpam-6163	47	9	•	•	ADP
ejpam-6163	47	10	we	we	PRON
ejpam-6163	47	11	formulate	formulate	VERB
ejpam-6163	47	12	and	and	CCONJ
ejpam-6163	47	13	solve	solve	VERB
ejpam-6163	47	14	the	the	DET
ejpam-6163	47	15	finite	finite	ADJ
ejpam-6163	47	16	-	-	PUNCT
ejpam-6163	47	17	time	time	NOUN
ejpam-6163	47	18	scaled	scale	VERB
ejpam-6163	47	19	consensus	consensus	NOUN
ejpam-6163	47	20	problem	problem	NOUN
ejpam-6163	47	21	in	in	ADP
ejpam-6163	47	22	hybrid	hybrid	ADJ
ejpam-6163	47	23	multiagent	multiagent	NOUN
ejpam-6163	47	24	systems	system	NOUN
ejpam-6163	47	25	with	with	ADP
ejpam-6163	47	26	both	both	CCONJ
ejpam-6163	47	27	continuous	continuous	ADJ
ejpam-6163	47	28	-	-	PUNCT
ejpam-6163	47	29	time	time	NOUN
ejpam-6163	47	30	and	and	CCONJ
ejpam-6163	47	31	discrete	discrete	ADJ
ejpam-6163	47	32	-	-	PUNCT
ejpam-6163	47	33	time	time	NOUN
ejpam-6163	47	34	dynamics	dynamic	NOUN
ejpam-6163	47	35	.	.	PUNCT
ejpam-6163	48	1	•	•	NUM
ejpam-6163	48	2	a	a	DET
ejpam-6163	48	3	distributed	distribute	VERB
ejpam-6163	48	4	control	control	NOUN
ejpam-6163	48	5	protocol	protocol	NOUN
ejpam-6163	48	6	based	base	VERB
ejpam-6163	48	7	on	on	ADP
ejpam-6163	48	8	the	the	DET
ejpam-6163	48	9	conjugate	conjugate	ADJ
ejpam-6163	48	10	gradient	gradient	NOUN
ejpam-6163	48	11	method	method	NOUN
ejpam-6163	48	12	is	be	AUX
ejpam-6163	48	13	proposed	propose	VERB
ejpam-6163	48	14	,	,	PUNCT
ejpam-6163	48	15	guaranteeing	guarantee	VERB
ejpam-6163	48	16	finite	finite	ADJ
ejpam-6163	48	17	-	-	PUNCT
ejpam-6163	48	18	time	time	NOUN
ejpam-6163	48	19	convergence	convergence	NOUN
ejpam-6163	48	20	in	in	ADP
ejpam-6163	48	21	at	at	ADP
ejpam-6163	48	22	most	most	ADJ
ejpam-6163	48	23	n	n	ADP
ejpam-6163	48	24	iterations	iteration	NOUN
ejpam-6163	48	25	.	.	PUNCT
ejpam-6163	49	1	•	•	INTJ
ejpam-6163	49	2	we	we	PRON
ejpam-6163	49	3	provide	provide	VERB
ejpam-6163	49	4	necessary	necessary	ADJ
ejpam-6163	49	5	and	and	CCONJ
ejpam-6163	49	6	sufficient	sufficient	ADJ
ejpam-6163	49	7	conditions	condition	NOUN
ejpam-6163	49	8	under	under	ADP
ejpam-6163	49	9	which	which	PRON
ejpam-6163	49	10	the	the	DET
ejpam-6163	49	11	proposed	propose	VERB
ejpam-6163	49	12	protocol	protocol	NOUN
ejpam-6163	49	13	achieves	achieve	VERB
ejpam-6163	49	14	consensus	consensus	NOUN
ejpam-6163	49	15	,	,	PUNCT
ejpam-6163	49	16	extending	extend	VERB
ejpam-6163	49	17	the	the	DET
ejpam-6163	49	18	classical	classical	ADJ
ejpam-6163	49	19	scaled	scale	VERB
ejpam-6163	49	20	consensus	consensus	NOUN
ejpam-6163	49	21	literature	literature	NOUN
ejpam-6163	49	22	to	to	ADP
ejpam-6163	49	23	hybrid	hybrid	ADJ
ejpam-6163	49	24	settings	setting	NOUN
ejpam-6163	49	25	.	.	PUNCT
ejpam-6163	50	1	•	•	NUM
ejpam-6163	50	2	comprehensive	comprehensive	ADJ
ejpam-6163	50	3	simulations	simulation	NOUN
ejpam-6163	50	4	are	be	AUX
ejpam-6163	50	5	conducted	conduct	VERB
ejpam-6163	50	6	to	to	PART
ejpam-6163	50	7	demonstrate	demonstrate	VERB
ejpam-6163	50	8	the	the	DET
ejpam-6163	50	9	effectiveness	effectiveness	NOUN
ejpam-6163	50	10	and	and	CCONJ
ejpam-6163	50	11	scalability	scalability	NOUN
ejpam-6163	50	12	of	of	ADP
ejpam-6163	50	13	the	the	DET
ejpam-6163	50	14	proposed	propose	VERB
ejpam-6163	50	15	method	method	NOUN
ejpam-6163	50	16	compared	compare	VERB
ejpam-6163	50	17	to	to	ADP
ejpam-6163	50	18	traditional	traditional	ADJ
ejpam-6163	50	19	asymptotic	asymptotic	ADJ
ejpam-6163	50	20	consensus	consensus	NOUN
ejpam-6163	50	21	algorithms	algorithm	NOUN
ejpam-6163	50	22	.	.	PUNCT
ejpam-6163	51	1	although	although	SCONJ
ejpam-6163	51	2	the	the	DET
ejpam-6163	51	3	theoretical	theoretical	ADJ
ejpam-6163	51	4	development	development	NOUN
ejpam-6163	51	5	in	in	ADP
ejpam-6163	51	6	this	this	DET
ejpam-6163	51	7	paper	paper	NOUN
ejpam-6163	51	8	is	be	AUX
ejpam-6163	51	9	necessarily	necessarily	ADV
ejpam-6163	51	10	formula	formula	NOUN
ejpam-6163	51	11	-	-	PUNCT
ejpam-6163	51	12	intensive	intensive	ADJ
ejpam-6163	51	13	,	,	PUNCT
ejpam-6163	51	14	we	we	PRON
ejpam-6163	51	15	have	have	AUX
ejpam-6163	51	16	carefully	carefully	ADV
ejpam-6163	51	17	structured	structure	VERB
ejpam-6163	51	18	the	the	DET
ejpam-6163	51	19	exposition	exposition	NOUN
ejpam-6163	51	20	to	to	PART
ejpam-6163	51	21	support	support	VERB
ejpam-6163	51	22	clarity	clarity	NOUN
ejpam-6163	51	23	and	and	CCONJ
ejpam-6163	51	24	readability	readability	NOUN
ejpam-6163	51	25	.	.	PUNCT
ejpam-6163	52	1	the	the	DET
ejpam-6163	52	2	problem	problem	NOUN
ejpam-6163	52	3	is	be	AUX
ejpam-6163	52	4	introduced	introduce	VERB
ejpam-6163	52	5	in	in	ADP
ejpam-6163	52	6	section	section	NOUN
ejpam-6163	52	7	2	2	NUM
ejpam-6163	52	8	with	with	ADP
ejpam-6163	52	9	formal	formal	ADJ
ejpam-6163	52	10	definitions	definition	NOUN
ejpam-6163	52	11	and	and	CCONJ
ejpam-6163	52	12	system	system	NOUN
ejpam-6163	52	13	models	model	NOUN
ejpam-6163	52	14	,	,	PUNCT
ejpam-6163	52	15	followed	follow	VERB
ejpam-6163	52	16	by	by	ADP
ejpam-6163	52	17	the	the	DET
ejpam-6163	52	18	main	main	ADJ
ejpam-6163	52	19	theoretical	theoretical	ADJ
ejpam-6163	52	20	results	result	NOUN
ejpam-6163	52	21	in	in	ADP
ejpam-6163	52	22	section	section	NOUN
ejpam-6163	52	23	3	3	NUM
ejpam-6163	52	24	,	,	PUNCT
ejpam-6163	52	25	where	where	SCONJ
ejpam-6163	52	26	each	each	DET
ejpam-6163	52	27	step	step	NOUN
ejpam-6163	52	28	is	be	AUX
ejpam-6163	52	29	rigorously	rigorously	ADV
ejpam-6163	52	30	justified	justify	VERB
ejpam-6163	52	31	using	use	VERB
ejpam-6163	52	32	foundational	foundational	ADJ
ejpam-6163	52	33	lemmas	lemma	NOUN
ejpam-6163	52	34	and	and	CCONJ
ejpam-6163	52	35	structured	structured	ADJ
ejpam-6163	52	36	arguments	argument	NOUN
ejpam-6163	52	37	.	.	PUNCT
ejpam-6163	53	1	to	to	PART
ejpam-6163	53	2	ensure	ensure	VERB
ejpam-6163	53	3	accessibility	accessibility	NOUN
ejpam-6163	53	4	for	for	ADP
ejpam-6163	53	5	readers	reader	NOUN
ejpam-6163	53	6	less	less	ADV
ejpam-6163	53	7	familiar	familiar	ADJ
ejpam-6163	53	8	with	with	ADP
ejpam-6163	53	9	hybrid	hybrid	ADJ
ejpam-6163	53	10	consensus	consensus	NOUN
ejpam-6163	53	11	systems	system	NOUN
ejpam-6163	53	12	or	or	CCONJ
ejpam-6163	53	13	conjugate	conjugate	ADJ
ejpam-6163	53	14	gradient	gradient	ADJ
ejpam-6163	53	15	methods	method	NOUN
ejpam-6163	53	16	,	,	PUNCT
ejpam-6163	53	17	we	we	PRON
ejpam-6163	53	18	provide	provide	VERB
ejpam-6163	53	19	comprehensive	comprehensive	ADJ
ejpam-6163	53	20	numerical	numerical	ADJ
ejpam-6163	53	21	simulations	simulation	NOUN
ejpam-6163	53	22	in	in	ADP
ejpam-6163	53	23	section	section	NOUN
ejpam-6163	53	24	4	4	NUM
ejpam-6163	53	25	.	.	PUNCT
ejpam-6163	54	1	these	these	DET
ejpam-6163	54	2	examples	example	NOUN
ejpam-6163	54	3	visually	visually	ADV
ejpam-6163	54	4	demonstrate	demonstrate	VERB
ejpam-6163	54	5	the	the	DET
ejpam-6163	54	6	convergence	convergence	NOUN
ejpam-6163	54	7	behavior	behavior	NOUN
ejpam-6163	54	8	of	of	ADP
ejpam-6163	54	9	the	the	DET
ejpam-6163	54	10	proposed	propose	VERB
ejpam-6163	54	11	protocol	protocol	NOUN
ejpam-6163	54	12	and	and	CCONJ
ejpam-6163	54	13	offer	offer	VERB
ejpam-6163	54	14	intuitive	intuitive	ADJ
ejpam-6163	54	15	insights	insight	NOUN
ejpam-6163	54	16	into	into	ADP
ejpam-6163	54	17	the	the	DET
ejpam-6163	54	18	finite	finite	ADJ
ejpam-6163	54	19	-	-	PUNCT
ejpam-6163	54	20	time	time	NOUN
ejpam-6163	54	21	scaled	scaled	ADJ
ejpam-6163	54	22	consensus	consensus	NOUN
ejpam-6163	54	23	process	process	NOUN
ejpam-6163	54	24	.	.	PUNCT
ejpam-6163	55	1	we	we	PRON
ejpam-6163	55	2	believe	believe	VERB
ejpam-6163	55	3	this	this	DET
ejpam-6163	55	4	structure	structure	NOUN
ejpam-6163	55	5	balances	balance	NOUN
ejpam-6163	55	6	mathematical	mathematical	ADJ
ejpam-6163	55	7	rigor	rigor	NOUN
ejpam-6163	55	8	with	with	ADP
ejpam-6163	55	9	practical	practical	ADJ
ejpam-6163	55	10	interpretability	interpretability	NOUN
ejpam-6163	55	11	.	.	PUNCT
ejpam-6163	56	1	2	2	X
ejpam-6163	56	2	.	.	NUM
ejpam-6163	56	3	preliminaries	preliminary	NOUN
ejpam-6163	56	4	and	and	CCONJ
ejpam-6163	56	5	problem	problem	NOUN
ejpam-6163	56	6	formulations	formulation	NOUN
ejpam-6163	56	7	2.1	2.1	NUM
ejpam-6163	56	8	.	.	PUNCT
ejpam-6163	57	1	preliminaries	preliminary	NOUN
ejpam-6163	57	2	in	in	ADP
ejpam-6163	57	3	this	this	DET
ejpam-6163	57	4	section	section	NOUN
ejpam-6163	57	5	,	,	PUNCT
ejpam-6163	57	6	we	we	PRON
ejpam-6163	57	7	present	present	VERB
ejpam-6163	57	8	essential	essential	ADJ
ejpam-6163	57	9	concepts	concept	NOUN
ejpam-6163	57	10	from	from	ADP
ejpam-6163	57	11	algebraic	algebraic	ADJ
ejpam-6163	57	12	graph	graph	NOUN
ejpam-6163	57	13	theory	theory	NOUN
ejpam-6163	57	14	and	and	CCONJ
ejpam-6163	57	15	matrix	matrix	NOUN
ejpam-6163	57	16	analysis	analysis	NOUN
ejpam-6163	57	17	that	that	PRON
ejpam-6163	57	18	support	support	VERB
ejpam-6163	57	19	the	the	DET
ejpam-6163	57	20	subsequent	subsequent	ADJ
ejpam-6163	57	21	development	development	NOUN
ejpam-6163	57	22	.	.	PUNCT
ejpam-6163	58	1	let	let	VERB
ejpam-6163	58	2	the	the	DET
ejpam-6163	58	3	interaction	interaction	NOUN
ejpam-6163	58	4	topology	topology	NOUN
ejpam-6163	58	5	among	among	ADP
ejpam-6163	58	6	n	n	PRON
ejpam-6163	58	7	agents	agent	NOUN
ejpam-6163	58	8	be	be	AUX
ejpam-6163	58	9	described	describe	VERB
ejpam-6163	58	10	by	by	ADP
ejpam-6163	58	11	a	a	DET
ejpam-6163	58	12	weighted	weight	VERB
ejpam-6163	58	13	undirected	undirected	ADJ
ejpam-6163	58	14	graph	graph	NOUN
ejpam-6163	58	15	g	g	PROPN
ejpam-6163	58	16	=	=	SYM
ejpam-6163	58	17	(	(	PUNCT
ejpam-6163	58	18	v	v	NOUN
ejpam-6163	58	19	,	,	PUNCT
ejpam-6163	58	20	e	e	NOUN
ejpam-6163	58	21	,	,	PUNCT
ejpam-6163	58	22	a	a	PRON
ejpam-6163	58	23	)	)	PUNCT
ejpam-6163	58	24	,	,	PUNCT
ejpam-6163	58	25	where	where	SCONJ
ejpam-6163	58	26	v	v	NOUN
ejpam-6163	58	27	=	=	SYM
ejpam-6163	58	28	{	{	PUNCT
ejpam-6163	58	29	v1	v1	NOUN
ejpam-6163	58	30	,	,	PUNCT
ejpam-6163	58	31	.	.	PUNCT
ejpam-6163	58	32	.	.	PUNCT
ejpam-6163	59	1	.	.	PUNCT
ejpam-6163	60	1	,	,	PUNCT
ejpam-6163	60	2	vn	vn	PROPN
ejpam-6163	60	3	}	}	PUNCT
ejpam-6163	60	4	is	be	AUX
ejpam-6163	60	5	the	the	DET
ejpam-6163	60	6	set	set	NOUN
ejpam-6163	60	7	of	of	ADP
ejpam-6163	60	8	nodes	node	NOUN
ejpam-6163	60	9	,	,	PUNCT
ejpam-6163	60	10	e	e	PROPN
ejpam-6163	60	11	⊆	⊆	NUM
ejpam-6163	60	12	v	v	ADP
ejpam-6163	60	13	×	×	NOUN
ejpam-6163	60	14	v	v	ADP
ejpam-6163	60	15	the	the	DET
ejpam-6163	60	16	set	set	NOUN
ejpam-6163	60	17	of	of	ADP
ejpam-6163	60	18	edges	edge	NOUN
ejpam-6163	60	19	,	,	PUNCT
ejpam-6163	60	20	and	and	CCONJ
ejpam-6163	60	21	a	a	PRON
ejpam-6163	60	22	=	=	X
ejpam-6163	61	1	[	[	X
ejpam-6163	61	2	aij	aij	X
ejpam-6163	61	3	]	]	PUNCT
ejpam-6163	61	4	∈	∈	PROPN
ejpam-6163	61	5	rn×n	rn×n	VERB
ejpam-6163	61	6	the	the	DET
ejpam-6163	61	7	nonnegative	nonnegative	ADJ
ejpam-6163	61	8	symmetric	symmetric	ADJ
ejpam-6163	61	9	adjacency	adjacency	NOUN
ejpam-6163	61	10	matrix	matrix	NOUN
ejpam-6163	61	11	.	.	PUNCT
ejpam-6163	62	1	an	an	DET
ejpam-6163	62	2	edge	edge	NOUN
ejpam-6163	62	3	exists	exist	VERB
ejpam-6163	62	4	between	between	ADP
ejpam-6163	62	5	nodes	node	NOUN
ejpam-6163	62	6	vi	vi	PROPN
ejpam-6163	62	7	and	and	CCONJ
ejpam-6163	62	8	vj	vj	INTJ
ejpam-6163	62	9	if	if	SCONJ
ejpam-6163	63	1	and	and	CCONJ
ejpam-6163	63	2	only	only	ADV
ejpam-6163	63	3	if	if	SCONJ
ejpam-6163	63	4	aij	aij	PROPN
ejpam-6163	63	5	>	>	X
ejpam-6163	63	6	0	0	NUM
ejpam-6163	63	7	,	,	PUNCT
ejpam-6163	63	8	and	and	CCONJ
ejpam-6163	63	9	the	the	DET
ejpam-6163	63	10	neighbor	neighbor	NOUN
ejpam-6163	63	11	set	set	VERB
ejpam-6163	63	12	of	of	ADP
ejpam-6163	63	13	agent	agent	NOUN
ejpam-6163	63	14	i	i	PRON
ejpam-6163	63	15	is	be	AUX
ejpam-6163	63	16	defined	define	VERB
ejpam-6163	63	17	as	as	ADP
ejpam-6163	63	18	ni	ni	PROPN
ejpam-6163	63	19	=	=	PROPN
ejpam-6163	63	20	{	{	PUNCT
ejpam-6163	63	21	j	j	PROPN
ejpam-6163	63	22	:	:	PUNCT
ejpam-6163	63	23	aij	aij	PROPN
ejpam-6163	63	24	>	>	X
ejpam-6163	63	25	0	0	NUM
ejpam-6163	63	26	}	}	PUNCT
ejpam-6163	63	27	.	.	PUNCT
ejpam-6163	64	1	the	the	DET
ejpam-6163	64	2	degree	degree	NOUN
ejpam-6163	64	3	of	of	ADP
ejpam-6163	64	4	node	node	PROPN
ejpam-6163	64	5	vi	vi	PROPN
ejpam-6163	64	6	is	be	AUX
ejpam-6163	64	7	di	di	NOUN
ejpam-6163	64	8	=	=	PUNCT
ejpam-6163	64	9	∑n	∑n	PROPN
ejpam-6163	64	10	j=1	j=1	PROPN
ejpam-6163	64	11	aij	aij	PROPN
ejpam-6163	64	12	,	,	PUNCT
ejpam-6163	64	13	and	and	CCONJ
ejpam-6163	64	14	the	the	DET
ejpam-6163	64	15	degree	degree	NOUN
ejpam-6163	64	16	matrix	matrix	NOUN
ejpam-6163	64	17	is	be	AUX
ejpam-6163	64	18	d	d	NOUN
ejpam-6163	64	19	=	=	PUNCT
ejpam-6163	64	20	diag(d1	diag(d1	NOUN
ejpam-6163	64	21	,	,	PUNCT
ejpam-6163	64	22	.	.	PUNCT
ejpam-6163	64	23	.	.	PUNCT
ejpam-6163	65	1	.	.	PUNCT
ejpam-6163	66	1	,	,	PUNCT
ejpam-6163	66	2	dn	dn	PROPN
ejpam-6163	66	3	)	)	PUNCT
ejpam-6163	66	4	.	.	PUNCT
ejpam-6163	67	1	the	the	DET
ejpam-6163	67	2	laplacian	laplacian	ADJ
ejpam-6163	67	3	matrix	matrix	NOUN
ejpam-6163	67	4	is	be	AUX
ejpam-6163	67	5	then	then	ADV
ejpam-6163	67	6	given	give	VERB
ejpam-6163	67	7	by	by	ADP
ejpam-6163	67	8	l	l	NOUN
ejpam-6163	67	9	=	=	PUNCT
ejpam-6163	68	1	d	d	NOUN
ejpam-6163	68	2	−	−	NOUN
ejpam-6163	68	3	a.	a.	NOUN
ejpam-6163	68	4	a	a	DET
ejpam-6163	68	5	path	path	NOUN
ejpam-6163	68	6	in	in	ADP
ejpam-6163	68	7	g	g	PROPN
ejpam-6163	68	8	is	be	AUX
ejpam-6163	68	9	a	a	DET
ejpam-6163	68	10	sequence	sequence	NOUN
ejpam-6163	68	11	of	of	ADP
ejpam-6163	68	12	consecutive	consecutive	ADJ
ejpam-6163	68	13	edges	edge	NOUN
ejpam-6163	68	14	,	,	PUNCT
ejpam-6163	68	15	and	and	CCONJ
ejpam-6163	68	16	the	the	DET
ejpam-6163	68	17	graph	graph	NOUN
ejpam-6163	68	18	is	be	AUX
ejpam-6163	68	19	strongly	strongly	ADV
ejpam-6163	68	20	connected	connect	VERB
ejpam-6163	68	21	if	if	SCONJ
ejpam-6163	68	22	a	a	DET
ejpam-6163	68	23	path	path	NOUN
ejpam-6163	68	24	exists	exist	VERB
ejpam-6163	68	25	between	between	ADP
ejpam-6163	68	26	any	any	DET
ejpam-6163	68	27	two	two	NUM
ejpam-6163	68	28	distinct	distinct	ADJ
ejpam-6163	68	29	nodes	node	NOUN
ejpam-6163	68	30	.	.	PUNCT
ejpam-6163	69	1	for	for	ADP
ejpam-6163	69	2	further	further	ADJ
ejpam-6163	69	3	background	background	NOUN
ejpam-6163	69	4	,	,	PUNCT
ejpam-6163	69	5	see	see	VERB
ejpam-6163	69	6	[	[	X
ejpam-6163	69	7	22	22	NUM
ejpam-6163	69	8	,	,	PUNCT
ejpam-6163	69	9	23	23	NUM
ejpam-6163	69	10	]	]	PUNCT
ejpam-6163	69	11	.	.	PUNCT
ejpam-6163	70	1	we	we	PRON
ejpam-6163	70	2	denote	denote	VERB
ejpam-6163	70	3	by	by	ADP
ejpam-6163	70	4	r	r	NOUN
ejpam-6163	70	5	the	the	DET
ejpam-6163	70	6	set	set	NOUN
ejpam-6163	70	7	of	of	ADP
ejpam-6163	70	8	real	real	ADJ
ejpam-6163	70	9	numbers	number	NOUN
ejpam-6163	70	10	,	,	PUNCT
ejpam-6163	70	11	n	n	CCONJ
ejpam-6163	70	12	the	the	DET
ejpam-6163	70	13	positive	positive	ADJ
ejpam-6163	70	14	integers	integer	NOUN
ejpam-6163	70	15	,	,	PUNCT
ejpam-6163	70	16	and	and	CCONJ
ejpam-6163	70	17	rn	rn	ADP
ejpam-6163	70	18	the	the	DET
ejpam-6163	70	19	ndimensional	ndimensional	ADJ
ejpam-6163	70	20	euclidean	euclidean	ADJ
ejpam-6163	70	21	space	space	NOUN
ejpam-6163	70	22	.	.	PUNCT
ejpam-6163	71	1	for	for	ADP
ejpam-6163	71	2	a	a	DET
ejpam-6163	71	3	vector	vector	NOUN
ejpam-6163	71	4	or	or	CCONJ
ejpam-6163	71	5	matrix	matrix	NOUN
ejpam-6163	71	6	x	x	NOUN
ejpam-6163	71	7	,	,	PUNCT
ejpam-6163	71	8	let	let	VERB
ejpam-6163	71	9	xt	xt	PART
ejpam-6163	71	10	denote	denote	VERB
ejpam-6163	71	11	its	its	PRON
ejpam-6163	71	12	transpose	transpose	NOUN
ejpam-6163	71	13	and	and	CCONJ
ejpam-6163	71	14	∥x∥	∥x∥	PRON
ejpam-6163	71	15	its	its	PRON
ejpam-6163	71	16	euclidean	euclidean	ADJ
ejpam-6163	71	17	norm	norm	NOUN
ejpam-6163	71	18	.	.	PUNCT
ejpam-6163	72	1	the	the	DET
ejpam-6163	72	2	vectors	vector	NOUN
ejpam-6163	72	3	1n	1n	PROPN
ejpam-6163	72	4	and	and	CCONJ
ejpam-6163	72	5	0n	0n	NOUN
ejpam-6163	72	6	represent	represent	VERB
ejpam-6163	72	7	the	the	DET
ejpam-6163	72	8	all	all	DET
ejpam-6163	72	9	-	-	PUNCT
ejpam-6163	72	10	ones	one	NOUN
ejpam-6163	72	11	and	and	CCONJ
ejpam-6163	72	12	all	all	DET
ejpam-6163	72	13	-	-	PUNCT
ejpam-6163	72	14	zeros	zero	NOUN
ejpam-6163	72	15	vectors	vector	NOUN
ejpam-6163	72	16	m.	m.	NOUN
ejpam-6163	72	17	donganont	donganont	PROPN
ejpam-6163	72	18	,	,	PUNCT
ejpam-6163	72	19	s.	s.	PROPN
ejpam-6163	72	20	intawichai	intawichai	PROPN
ejpam-6163	72	21	,	,	PUNCT
ejpam-6163	72	22	s.	s.	PROPN
ejpam-6163	72	23	phongchan	phongchan	PROPN
ejpam-6163	72	24	/	/	SYM
ejpam-6163	72	25	eur	eur	PROPN
ejpam-6163	72	26	.	.	PUNCT
ejpam-6163	73	1	j.	j.	PROPN
ejpam-6163	73	2	pure	pure	PROPN
ejpam-6163	73	3	appl	appl	PROPN
ejpam-6163	73	4	.	.	PROPN
ejpam-6163	73	5	math	math	PROPN
ejpam-6163	73	6	,	,	PUNCT
ejpam-6163	73	7	18	18	NUM
ejpam-6163	73	8	(	(	PUNCT
ejpam-6163	73	9	2	2	NUM
ejpam-6163	73	10	)	)	PUNCT
ejpam-6163	73	11	(	(	PUNCT
ejpam-6163	73	12	2025	2025	NUM
ejpam-6163	73	13	)	)	PUNCT
ejpam-6163	73	14	,	,	PUNCT
ejpam-6163	73	15	6163	6163	NUM
ejpam-6163	73	16	4	4	NUM
ejpam-6163	73	17	of	of	ADP
ejpam-6163	73	18	20	20	NUM
ejpam-6163	73	19	of	of	ADP
ejpam-6163	73	20	dimension	dimension	NOUN
ejpam-6163	73	21	n	n	CCONJ
ejpam-6163	73	22	,	,	PUNCT
ejpam-6163	73	23	respectively	respectively	ADV
ejpam-6163	73	24	.	.	PUNCT
ejpam-6163	74	1	the	the	DET
ejpam-6163	74	2	identity	identity	NOUN
ejpam-6163	74	3	matrix	matrix	NOUN
ejpam-6163	74	4	of	of	ADP
ejpam-6163	74	5	order	order	NOUN
ejpam-6163	74	6	n	n	NOUN
ejpam-6163	74	7	is	be	AUX
ejpam-6163	74	8	in	in	ADP
ejpam-6163	74	9	,	,	PUNCT
ejpam-6163	74	10	and	and	CCONJ
ejpam-6163	74	11	diag{a1	diag{a1	ADV
ejpam-6163	74	12	,	,	PUNCT
ejpam-6163	74	13	.	.	PUNCT
ejpam-6163	74	14	.	.	PUNCT
ejpam-6163	75	1	.	.	PUNCT
ejpam-6163	76	1	,	,	PUNCT
ejpam-6163	76	2	an	an	DET
ejpam-6163	76	3	}	}	PUNCT
ejpam-6163	76	4	denotes	denote	VERB
ejpam-6163	76	5	a	a	DET
ejpam-6163	76	6	diagonal	diagonal	ADJ
ejpam-6163	76	7	matrix	matrix	NOUN
ejpam-6163	76	8	with	with	ADP
ejpam-6163	76	9	specified	specify	VERB
ejpam-6163	76	10	entries	entry	NOUN
ejpam-6163	76	11	.	.	PUNCT
ejpam-6163	77	1	a	a	DET
ejpam-6163	77	2	matrix	matrix	NOUN
ejpam-6163	77	3	b	b	NOUN
ejpam-6163	77	4	=	=	PUNCT
ejpam-6163	78	1	[	[	X
ejpam-6163	78	2	bij	bij	X
ejpam-6163	78	3	]	]	X
ejpam-6163	78	4	∈	∈	PROPN
ejpam-6163	78	5	rn×n	rn×n	PROPN
ejpam-6163	78	6	is	be	AUX
ejpam-6163	78	7	nonnegative	nonnegative	ADJ
ejpam-6163	78	8	if	if	SCONJ
ejpam-6163	78	9	bij	bij	NOUN
ejpam-6163	78	10	≥	≥	X
ejpam-6163	78	11	0	0	NUM
ejpam-6163	78	12	for	for	SCONJ
ejpam-6163	78	13	all	all	DET
ejpam-6163	78	14	i	i	PROPN
ejpam-6163	78	15	,	,	PUNCT
ejpam-6163	78	16	j	j	PROPN
ejpam-6163	78	17	,	,	PUNCT
ejpam-6163	78	18	and	and	CCONJ
ejpam-6163	78	19	a	a	DET
ejpam-6163	78	20	≥	≥	NOUN
ejpam-6163	78	21	b	b	NOUN
ejpam-6163	78	22	implies	imply	VERB
ejpam-6163	78	23	a	a	DET
ejpam-6163	78	24	−	−	PROPN
ejpam-6163	78	25	b	b	PROPN
ejpam-6163	78	26	is	be	AUX
ejpam-6163	78	27	nonnegative	nonnegative	ADJ
ejpam-6163	78	28	.	.	PUNCT
ejpam-6163	79	1	a	a	DET
ejpam-6163	79	2	matrix	matrix	NOUN
ejpam-6163	79	3	is	be	AUX
ejpam-6163	79	4	stochastic	stochastic	ADJ
ejpam-6163	79	5	if	if	SCONJ
ejpam-6163	79	6	it	it	PRON
ejpam-6163	79	7	is	be	AUX
ejpam-6163	79	8	nonnegative	nonnegative	ADJ
ejpam-6163	79	9	and	and	CCONJ
ejpam-6163	79	10	row	row	NOUN
ejpam-6163	79	11	-	-	PUNCT
ejpam-6163	79	12	stochastic	stochastic	NOUN
ejpam-6163	79	13	.	.	PUNCT
ejpam-6163	80	1	a	a	DET
ejpam-6163	80	2	stochastic	stochastic	ADJ
ejpam-6163	80	3	matrix	matrix	NOUN
ejpam-6163	80	4	p	p	NOUN
ejpam-6163	80	5	is	be	AUX
ejpam-6163	80	6	called	call	VERB
ejpam-6163	80	7	sia	sia	PROPN
ejpam-6163	80	8	(	(	PUNCT
ejpam-6163	80	9	stochastic	stochastic	ADJ
ejpam-6163	80	10	,	,	PUNCT
ejpam-6163	80	11	indecomposable	indecomposable	ADJ
ejpam-6163	80	12	,	,	PUNCT
ejpam-6163	80	13	and	and	CCONJ
ejpam-6163	80	14	aperiodic	aperiodic	ADJ
ejpam-6163	80	15	)	)	PUNCT
ejpam-6163	80	16	if	if	SCONJ
ejpam-6163	80	17	limk→∞	limk→∞	PROPN
ejpam-6163	80	18	p	p	X
ejpam-6163	80	19	k	k	NOUN
ejpam-6163	80	20	=	=	PUNCT
ejpam-6163	80	21	1ny	1ny	ADJ
ejpam-6163	80	22	t	t	NOUN
ejpam-6163	80	23	for	for	ADP
ejpam-6163	80	24	some	some	DET
ejpam-6163	80	25	vector	vector	NOUN
ejpam-6163	80	26	y	y	PROPN
ejpam-6163	80	27	∈	∈	PROPN
ejpam-6163	80	28	rn	rn	PROPN
ejpam-6163	80	29	.	.	PUNCT
ejpam-6163	81	1	these	these	DET
ejpam-6163	81	2	concepts	concept	NOUN
ejpam-6163	81	3	are	be	AUX
ejpam-6163	81	4	instrumental	instrumental	ADJ
ejpam-6163	81	5	for	for	ADP
ejpam-6163	81	6	the	the	DET
ejpam-6163	81	7	analysis	analysis	NOUN
ejpam-6163	81	8	of	of	ADP
ejpam-6163	81	9	consensus	consensus	NOUN
ejpam-6163	81	10	algorithms	algorithm	NOUN
ejpam-6163	81	11	in	in	ADP
ejpam-6163	81	12	multi	multi	ADJ
ejpam-6163	81	13	-	-	ADJ
ejpam-6163	81	14	agent	agent	ADJ
ejpam-6163	81	15	systems	system	NOUN
ejpam-6163	81	16	.	.	PUNCT
ejpam-6163	82	1	2.2	2.2	NUM
ejpam-6163	82	2	.	.	PUNCT
ejpam-6163	83	1	problem	problem	NOUN
ejpam-6163	83	2	formulation	formulation	NOUN
ejpam-6163	83	3	in	in	ADP
ejpam-6163	83	4	this	this	DET
ejpam-6163	83	5	work	work	NOUN
ejpam-6163	83	6	,	,	PUNCT
ejpam-6163	83	7	we	we	PRON
ejpam-6163	83	8	assume	assume	VERB
ejpam-6163	83	9	that	that	SCONJ
ejpam-6163	83	10	the	the	DET
ejpam-6163	83	11	hybrid	hybrid	ADJ
ejpam-6163	83	12	multi	multi	ADJ
ejpam-6163	83	13	-	-	ADJ
ejpam-6163	83	14	agent	agent	ADJ
ejpam-6163	83	15	system	system	NOUN
ejpam-6163	83	16	consists	consist	VERB
ejpam-6163	83	17	of	of	ADP
ejpam-6163	83	18	n	n	NOUN
ejpam-6163	83	19	agents	agent	NOUN
ejpam-6163	83	20	which	which	PRON
ejpam-6163	83	21	are	be	AUX
ejpam-6163	83	22	continuous	continuous	ADJ
ejpam-6163	83	23	-	-	PUNCT
ejpam-6163	83	24	time	time	NOUN
ejpam-6163	83	25	and	and	CCONJ
ejpam-6163	83	26	discrete	discrete	ADJ
ejpam-6163	83	27	-	-	PUNCT
ejpam-6163	83	28	time	time	NOUN
ejpam-6163	83	29	dynamic	dynamic	ADJ
ejpam-6163	83	30	agents	agent	NOUN
ejpam-6163	83	31	,	,	PUNCT
ejpam-6163	83	32	labelled	label	VERB
ejpam-6163	83	33	1	1	NUM
ejpam-6163	83	34	through	through	ADP
ejpam-6163	83	35	n	n	PROPN
ejpam-6163	83	36	,	,	PUNCT
ejpam-6163	83	37	where	where	SCONJ
ejpam-6163	83	38	the	the	DET
ejpam-6163	83	39	number	number	NOUN
ejpam-6163	83	40	of	of	ADP
ejpam-6163	83	41	continuous	continuous	ADJ
ejpam-6163	83	42	-	-	PUNCT
ejpam-6163	83	43	time	time	NOUN
ejpam-6163	83	44	dynamic	dynamic	ADJ
ejpam-6163	83	45	agents	agent	NOUN
ejpam-6163	83	46	is	be	AUX
ejpam-6163	83	47	m	m	PRON
ejpam-6163	83	48	,	,	PUNCT
ejpam-6163	83	49	m	m	VERB
ejpam-6163	83	50	<	<	X
ejpam-6163	83	51	n	n	X
ejpam-6163	83	52	.	.	PUNCT
ejpam-6163	84	1	without	without	ADP
ejpam-6163	84	2	loss	loss	NOUN
ejpam-6163	84	3	of	of	ADP
ejpam-6163	84	4	generality	generality	NOUN
ejpam-6163	84	5	,	,	PUNCT
ejpam-6163	84	6	we	we	PRON
ejpam-6163	84	7	assume	assume	VERB
ejpam-6163	84	8	that	that	SCONJ
ejpam-6163	84	9	agent	agent	NOUN
ejpam-6163	84	10	1	1	NUM
ejpam-6163	84	11	through	through	ADP
ejpam-6163	84	12	m	m	NOUN
ejpam-6163	84	13	are	be	AUX
ejpam-6163	84	14	continuous	continuous	ADJ
ejpam-6163	84	15	-	-	PUNCT
ejpam-6163	84	16	time	time	NOUN
ejpam-6163	84	17	dynamic	dynamic	ADJ
ejpam-6163	84	18	agents	agent	NOUN
ejpam-6163	84	19	.	.	PUNCT
ejpam-6163	85	1	moreover	moreover	ADV
ejpam-6163	85	2	,	,	PUNCT
ejpam-6163	85	3	i	i	PRON
ejpam-6163	85	4	m	m	VERB
ejpam-6163	85	5	=	=	PUNCT
ejpam-6163	85	6	{	{	PUNCT
ejpam-6163	85	7	1	1	NUM
ejpam-6163	85	8	,	,	PUNCT
ejpam-6163	85	9	2	2	NUM
ejpam-6163	85	10	,	,	PUNCT
ejpam-6163	85	11	3	3	NUM
ejpam-6163	85	12	,	,	PUNCT
ejpam-6163	85	13	...	...	PUNCT
ejpam-6163	85	14	,	,	PUNCT
ejpam-6163	85	15	m	m	VERB
ejpam-6163	85	16	}	}	PUNCT
ejpam-6163	85	17	,	,	PUNCT
ejpam-6163	85	18	in	in	ADP
ejpam-6163	85	19	/	/	SYM
ejpam-6163	85	20	im	im	NOUN
ejpam-6163	85	21	=	=	NOUN
ejpam-6163	85	22	{	{	PUNCT
ejpam-6163	85	23	m	m	VERB
ejpam-6163	85	24	+1,m	+1,m	NOUN
ejpam-6163	85	25	+2,m	+2,m	NOUN
ejpam-6163	85	26	+3	+3	PROPN
ejpam-6163	85	27	,	,	PUNCT
ejpam-6163	85	28	...	...	PUNCT
ejpam-6163	85	29	,	,	PUNCT
ejpam-6163	85	30	n	n	CCONJ
ejpam-6163	85	31	}	}	PUNCT
ejpam-6163	85	32	.	.	PUNCT
ejpam-6163	86	1	then	then	ADV
ejpam-6163	86	2	,	,	PUNCT
ejpam-6163	86	3	the	the	DET
ejpam-6163	86	4	dynamics	dynamic	NOUN
ejpam-6163	86	5	of	of	ADP
ejpam-6163	86	6	each	each	DET
ejpam-6163	86	7	agent	agent	NOUN
ejpam-6163	86	8	with	with	ADP
ejpam-6163	86	9	nonnegative	nonnegative	ADJ
ejpam-6163	86	10	scalar	scalar	ADJ
ejpam-6163	86	11	scale	scale	NOUN
ejpam-6163	86	12	has	have	VERB
ejpam-6163	86	13	the	the	DET
ejpam-6163	86	14	dynamics	dynamic	NOUN
ejpam-6163	86	15	as	as	SCONJ
ejpam-6163	86	16	follows	follow	VERB
ejpam-6163	86	17	:	:	PUNCT
ejpam-6163	86	18	{	{	PUNCT
ejpam-6163	86	19	βiẋi(t	βiẋi(t	ADJ
ejpam-6163	86	20	)	)	PUNCT
ejpam-6163	86	21	=	=	SYM
ejpam-6163	86	22	ui(t	ui(t	NOUN
ejpam-6163	86	23	)	)	PUNCT
ejpam-6163	86	24	,	,	PUNCT
ejpam-6163	86	25	for	for	ADP
ejpam-6163	86	26	i	i	PRON
ejpam-6163	86	27	∈	∈	PROPN
ejpam-6163	87	1	i	i	PRON
ejpam-6163	87	2	m	m	VERB
ejpam-6163	87	3	,	,	PUNCT
ejpam-6163	87	4	βlxl(tk+1	βlxl(tk+1	NOUN
ejpam-6163	87	5	)	)	PUNCT
ejpam-6163	87	6	=	=	SYM
ejpam-6163	87	7	βlxl(tk	βlxl(tk	NOUN
ejpam-6163	87	8	)	)	PUNCT
ejpam-6163	87	9	+	+	NUM
ejpam-6163	87	10	ul(tk	ul(tk	NOUN
ejpam-6163	87	11	)	)	PUNCT
ejpam-6163	87	12	,	,	PUNCT
ejpam-6163	87	13	tk	tk	PROPN
ejpam-6163	87	14	=	=	SYM
ejpam-6163	87	15	kh	kh	PROPN
ejpam-6163	87	16	,	,	PUNCT
ejpam-6163	87	17	for	for	ADP
ejpam-6163	87	18	l	l	NOUN
ejpam-6163	87	19	∈	∈	PROPN
ejpam-6163	87	20	in	in	ADP
ejpam-6163	87	21	/	/	SYM
ejpam-6163	87	22	im	im	INTJ
ejpam-6163	87	23	,	,	PUNCT
ejpam-6163	87	24	(	(	PUNCT
ejpam-6163	87	25	2.1	2.1	NUM
ejpam-6163	87	26	)	)	PUNCT
ejpam-6163	87	27	where	where	SCONJ
ejpam-6163	87	28	the	the	DET
ejpam-6163	87	29	scalar	scalar	ADJ
ejpam-6163	87	30	scale	scale	NOUN
ejpam-6163	87	31	βi	βi	PROPN
ejpam-6163	87	32	̸=	̸=	PROPN
ejpam-6163	87	33	0	0	NUM
ejpam-6163	87	34	for	for	ADP
ejpam-6163	87	35	all	all	DET
ejpam-6163	87	36	i	i	PRON
ejpam-6163	87	37	,	,	PUNCT
ejpam-6163	87	38	h	h	PROPN
ejpam-6163	87	39	is	be	AUX
ejpam-6163	87	40	the	the	DET
ejpam-6163	87	41	sampling	sampling	NOUN
ejpam-6163	87	42	period	period	NOUN
ejpam-6163	87	43	,	,	PUNCT
ejpam-6163	87	44	xi	xi	ADP
ejpam-6163	87	45	∈	∈	PROPN
ejpam-6163	87	46	r	r	NOUN
ejpam-6163	87	47	and	and	CCONJ
ejpam-6163	87	48	ui	ui	NOUN
ejpam-6163	87	49	∈	∈	PROPN
ejpam-6163	87	50	r	r	NOUN
ejpam-6163	87	51	are	be	AUX
ejpam-6163	87	52	the	the	DET
ejpam-6163	87	53	state	state	NOUN
ejpam-6163	87	54	and	and	CCONJ
ejpam-6163	87	55	control	control	NOUN
ejpam-6163	87	56	input	input	NOUN
ejpam-6163	87	57	of	of	ADP
ejpam-6163	87	58	agent	agent	NOUN
ejpam-6163	87	59	i	i	PROPN
ejpam-6163	87	60	,	,	PUNCT
ejpam-6163	87	61	respectively	respectively	ADV
ejpam-6163	87	62	.	.	PUNCT
ejpam-6163	88	1	the	the	DET
ejpam-6163	88	2	initial	initial	ADJ
ejpam-6163	88	3	conditions	condition	NOUN
ejpam-6163	88	4	are	be	AUX
ejpam-6163	88	5	xi(0	xi(0	X
ejpam-6163	88	6	)	)	PUNCT
ejpam-6163	89	1	=	=	SYM
ejpam-6163	89	2	xi0	xi0	PROPN
ejpam-6163	89	3	,	,	PUNCT
ejpam-6163	89	4	and	and	CCONJ
ejpam-6163	89	5	x(0	x(0	PROPN
ejpam-6163	89	6	)	)	PUNCT
ejpam-6163	89	7	=	=	PUNCT
ejpam-6163	90	1	[	[	X
ejpam-6163	90	2	x10	x10	NOUN
ejpam-6163	90	3	,	,	PUNCT
ejpam-6163	90	4	x20	x20	NOUN
ejpam-6163	90	5	,	,	PUNCT
ejpam-6163	90	6	...	...	PUNCT
ejpam-6163	90	7	,	,	PUNCT
ejpam-6163	90	8	xn0	xn0	PROPN
ejpam-6163	90	9	]	]	X
ejpam-6163	90	10	t	t	X
ejpam-6163	90	11	.	.	PUNCT
ejpam-6163	91	1	definition	definition	NOUN
ejpam-6163	91	2	1	1	NUM
ejpam-6163	91	3	.	.	PUNCT
ejpam-6163	92	1	the	the	DET
ejpam-6163	92	2	hmas	hmas	PROPN
ejpam-6163	92	3	(	(	PUNCT
ejpam-6163	92	4	2.1	2.1	NUM
ejpam-6163	92	5	)	)	PUNCT
ejpam-6163	92	6	achieves	achieve	VERB
ejpam-6163	92	7	a	a	DET
ejpam-6163	92	8	finite	finite	ADJ
ejpam-6163	92	9	-	-	PUNCT
ejpam-6163	92	10	time	time	NOUN
ejpam-6163	92	11	scaled	scaled	ADJ
ejpam-6163	92	12	consensus	consensus	NOUN
ejpam-6163	92	13	with	with	ADP
ejpam-6163	92	14	respect	respect	NOUN
ejpam-6163	92	15	to	to	ADP
ejpam-6163	92	16	(	(	PUNCT
ejpam-6163	92	17	β1	β1	PROPN
ejpam-6163	92	18	,	,	PUNCT
ejpam-6163	92	19	.	.	PUNCT
ejpam-6163	92	20	.	.	PUNCT
ejpam-6163	92	21	.	.	PUNCT
ejpam-6163	93	1	,	,	PUNCT
ejpam-6163	93	2	βn	βn	PROPN
ejpam-6163	93	3	)	)	PUNCT
ejpam-6163	93	4	if	if	SCONJ
ejpam-6163	93	5	for	for	ADP
ejpam-6163	93	6	each	each	DET
ejpam-6163	93	7	i	i	PROPN
ejpam-6163	93	8	,	,	PUNCT
ejpam-6163	93	9	j	j	PROPN
ejpam-6163	93	10	∈	∈	PROPN
ejpam-6163	93	11	in	in	ADV
ejpam-6163	93	12	,	,	PUNCT
ejpam-6163	93	13	there	there	PRON
ejpam-6163	93	14	exists	exist	VERB
ejpam-6163	93	15	a	a	DET
ejpam-6163	93	16	setting	setting	NOUN
ejpam-6163	93	17	time	time	NOUN
ejpam-6163	93	18	t	t	PROPN
ejpam-6163	93	19	satisfying	satisfy	VERB
ejpam-6163	93	20	lim	lim	PROPN
ejpam-6163	93	21	t→t	t→t	NUM
ejpam-6163	93	22	∥βixi(t)−	∥βixi(t)−	PROPN
ejpam-6163	93	23	βjxj(t)∥	βjxj(t)∥	PROPN
ejpam-6163	94	1	=	=	SYM
ejpam-6163	94	2	0	0	NUM
ejpam-6163	94	3	and	and	CCONJ
ejpam-6163	94	4	βixi(t	βixi(t	PROPN
ejpam-6163	94	5	)	)	PUNCT
ejpam-6163	95	1	=	=	SYM
ejpam-6163	95	2	βjxj(t	βjxj(t	PROPN
ejpam-6163	95	3	)	)	PUNCT
ejpam-6163	95	4	,	,	PUNCT
ejpam-6163	95	5	for	for	ADP
ejpam-6163	95	6	all	all	DET
ejpam-6163	95	7	t	t	PROPN
ejpam-6163	95	8	≥	≥	PROPN
ejpam-6163	95	9	t	t	PROPN
ejpam-6163	95	10	,	,	PUNCT
ejpam-6163	95	11	for	for	ADP
ejpam-6163	95	12	any	any	DET
ejpam-6163	95	13	initial	initial	ADJ
ejpam-6163	95	14	conditions	condition	NOUN
ejpam-6163	95	15	.	.	PUNCT
ejpam-6163	96	1	remark	remark	NOUN
ejpam-6163	96	2	1	1	NUM
ejpam-6163	96	3	.	.	PUNCT
ejpam-6163	97	1	if	if	SCONJ
ejpam-6163	97	2	the	the	DET
ejpam-6163	97	3	scalar	scalar	ADJ
ejpam-6163	97	4	scaling	scale	VERB
ejpam-6163	97	5	factor	factor	NOUN
ejpam-6163	97	6	satisfies	satisfy	VERB
ejpam-6163	97	7	βi	βi	NOUN
ejpam-6163	97	8	=	=	SYM
ejpam-6163	97	9	1	1	NUM
ejpam-6163	97	10	for	for	ADP
ejpam-6163	97	11	all	all	DET
ejpam-6163	97	12	i	i	PRON
ejpam-6163	97	13	,	,	PUNCT
ejpam-6163	97	14	the	the	DET
ejpam-6163	97	15	finite	finite	ADJ
ejpam-6163	97	16	-	-	PUNCT
ejpam-6163	97	17	time	time	NOUN
ejpam-6163	97	18	scaled	scale	VERB
ejpam-6163	97	19	consensus	consensus	NOUN
ejpam-6163	97	20	reduces	reduce	VERB
ejpam-6163	97	21	to	to	ADP
ejpam-6163	97	22	the	the	DET
ejpam-6163	97	23	standard	standard	ADJ
ejpam-6163	97	24	finite	finite	ADJ
ejpam-6163	97	25	-	-	PUNCT
ejpam-6163	97	26	time	time	NOUN
ejpam-6163	97	27	consensus	consensus	NOUN
ejpam-6163	97	28	,	,	PUNCT
ejpam-6163	97	29	highlighting	highlight	VERB
ejpam-6163	97	30	that	that	SCONJ
ejpam-6163	97	31	the	the	DET
ejpam-6163	97	32	scaled	scale	VERB
ejpam-6163	97	33	framework	framework	NOUN
ejpam-6163	97	34	generalizes	generalize	VERB
ejpam-6163	97	35	the	the	DET
ejpam-6163	97	36	classical	classical	ADJ
ejpam-6163	97	37	consensus	consensus	NOUN
ejpam-6163	97	38	problem	problem	NOUN
ejpam-6163	97	39	.	.	PUNCT
ejpam-6163	98	1	furthermore	furthermore	ADV
ejpam-6163	98	2	,	,	PUNCT
ejpam-6163	98	3	some	some	DET
ejpam-6163	98	4	useful	useful	ADJ
ejpam-6163	98	5	definitions	definition	NOUN
ejpam-6163	98	6	,	,	PUNCT
ejpam-6163	98	7	lemmas	lemmas	ADJ
ejpam-6163	98	8	,	,	PUNCT
ejpam-6163	98	9	and	and	CCONJ
ejpam-6163	98	10	properties	property	NOUN
ejpam-6163	98	11	are	be	AUX
ejpam-6163	98	12	provided	provide	VERB
ejpam-6163	98	13	as	as	ADP
ejpam-6163	98	14	follows	follow	VERB
ejpam-6163	98	15	.	.	PUNCT
ejpam-6163	99	1	definition	definition	NOUN
ejpam-6163	99	2	2	2	NUM
ejpam-6163	99	3	.	.	PUNCT
ejpam-6163	100	1	let	let	VERB
ejpam-6163	100	2	a	a	DET
ejpam-6163	100	3	∈	∈	ADJ
ejpam-6163	100	4	rn×n	rn×n	NOUN
ejpam-6163	100	5	be	be	AUX
ejpam-6163	100	6	a	a	DET
ejpam-6163	100	7	hermitian	hermitian	ADJ
ejpam-6163	100	8	positive	positive	ADJ
ejpam-6163	100	9	definite	definite	ADJ
ejpam-6163	100	10	matrix	matrix	NOUN
ejpam-6163	100	11	.	.	PUNCT
ejpam-6163	101	1	a	a	DET
ejpam-6163	101	2	set	set	NOUN
ejpam-6163	101	3	of	of	ADP
ejpam-6163	101	4	nonzero	nonzero	PROPN
ejpam-6163	101	5	vectors	vector	NOUN
ejpam-6163	101	6	{	{	PUNCT
ejpam-6163	101	7	p1	p1	PROPN
ejpam-6163	101	8	,	,	PUNCT
ejpam-6163	101	9	.	.	PUNCT
ejpam-6163	101	10	.	.	PUNCT
ejpam-6163	101	11	.	.	PUNCT
ejpam-6163	102	1	,	,	PUNCT
ejpam-6163	102	2	pm	pm	NOUN
ejpam-6163	102	3	}	}	PUNCT
ejpam-6163	102	4	⊂	⊂	PROPN
ejpam-6163	102	5	rn	rn	PROPN
ejpam-6163	102	6	is	be	AUX
ejpam-6163	102	7	said	say	VERB
ejpam-6163	102	8	to	to	PART
ejpam-6163	102	9	be	be	AUX
ejpam-6163	102	10	a	a	DET
ejpam-6163	102	11	-	-	PUNCT
ejpam-6163	102	12	conjugate	conjugate	ADJ
ejpam-6163	102	13	if	if	SCONJ
ejpam-6163	102	14	it	it	PRON
ejpam-6163	102	15	satisfies	satisfy	VERB
ejpam-6163	102	16	(	(	PUNCT
ejpam-6163	102	17	api	api	NOUN
ejpam-6163	102	18	,	,	PUNCT
ejpam-6163	102	19	pj	pj	PROPN
ejpam-6163	102	20	)	)	PUNCT
ejpam-6163	102	21	=	=	SYM
ejpam-6163	102	22	0	0	NUM
ejpam-6163	103	1	for	for	ADP
ejpam-6163	103	2	all	all	PRON
ejpam-6163	103	3	i	i	PRON
ejpam-6163	103	4	̸=	̸=	PROPN
ejpam-6163	103	5	j	j	PROPN
ejpam-6163	103	6	,	,	PUNCT
ejpam-6163	103	7	where	where	SCONJ
ejpam-6163	103	8	(	(	PUNCT
ejpam-6163	103	9	·	·	PUNCT
ejpam-6163	103	10	,	,	PUNCT
ejpam-6163	103	11	·	·	PUNCT
ejpam-6163	103	12	)	)	PUNCT
ejpam-6163	103	13	denotes	denote	VERB
ejpam-6163	103	14	the	the	DET
ejpam-6163	103	15	standard	standard	ADJ
ejpam-6163	103	16	inner	inner	ADJ
ejpam-6163	103	17	product	product	NOUN
ejpam-6163	103	18	.	.	PUNCT
ejpam-6163	104	1	lemma	lemma	PROPN
ejpam-6163	104	2	1	1	NUM
ejpam-6163	104	3	.	.	PUNCT
ejpam-6163	105	1	[	[	X
ejpam-6163	105	2	21	21	NUM
ejpam-6163	105	3	]	]	PUNCT
ejpam-6163	105	4	let	let	VERB
ejpam-6163	105	5	a	a	DET
ejpam-6163	105	6	∈	∈	ADJ
ejpam-6163	105	7	rn×n	rn×n	NOUN
ejpam-6163	105	8	be	be	AUX
ejpam-6163	105	9	a	a	DET
ejpam-6163	105	10	hermitian	hermitian	ADJ
ejpam-6163	105	11	positive	positive	ADJ
ejpam-6163	105	12	definite	definite	ADJ
ejpam-6163	105	13	matrix	matrix	NOUN
ejpam-6163	105	14	.	.	PUNCT
ejpam-6163	106	1	then	then	ADV
ejpam-6163	106	2	,	,	PUNCT
ejpam-6163	106	3	in	in	ADP
ejpam-6163	106	4	the	the	DET
ejpam-6163	106	5	absence	absence	NOUN
ejpam-6163	106	6	of	of	ADP
ejpam-6163	106	7	roundoff	roundoff	NOUN
ejpam-6163	106	8	errors	error	NOUN
ejpam-6163	106	9	,	,	PUNCT
ejpam-6163	106	10	the	the	DET
ejpam-6163	106	11	conjugate	conjugate	ADJ
ejpam-6163	106	12	gradient	gradient	NOUN
ejpam-6163	106	13	method	method	NOUN
ejpam-6163	106	14	computes	compute	VERB
ejpam-6163	106	15	the	the	DET
ejpam-6163	106	16	exact	exact	ADJ
ejpam-6163	106	17	solution	solution	NOUN
ejpam-6163	106	18	to	to	ADP
ejpam-6163	106	19	ax	ax	NOUN
ejpam-6163	106	20	=	=	SYM
ejpam-6163	106	21	b	b	PROPN
ejpam-6163	106	22	in	in	ADP
ejpam-6163	106	23	at	at	ADP
ejpam-6163	106	24	most	most	ADJ
ejpam-6163	106	25	n	n	PRON
ejpam-6163	106	26	iterations	iteration	NOUN
ejpam-6163	106	27	.	.	PUNCT
ejpam-6163	107	1	m.	m.	NOUN
ejpam-6163	107	2	donganont	donganont	PROPN
ejpam-6163	107	3	,	,	PUNCT
ejpam-6163	107	4	s.	s.	PROPN
ejpam-6163	107	5	intawichai	intawichai	PROPN
ejpam-6163	107	6	,	,	PUNCT
ejpam-6163	107	7	s.	s.	PROPN
ejpam-6163	107	8	phongchan	phongchan	PROPN
ejpam-6163	107	9	/	/	SYM
ejpam-6163	107	10	eur	eur	PROPN
ejpam-6163	107	11	.	.	PUNCT
ejpam-6163	108	1	j.	j.	PROPN
ejpam-6163	108	2	pure	pure	PROPN
ejpam-6163	108	3	appl	appl	PROPN
ejpam-6163	108	4	.	.	PROPN
ejpam-6163	108	5	math	math	PROPN
ejpam-6163	108	6	,	,	PUNCT
ejpam-6163	108	7	18	18	NUM
ejpam-6163	108	8	(	(	PUNCT
ejpam-6163	108	9	2	2	NUM
ejpam-6163	108	10	)	)	PUNCT
ejpam-6163	108	11	(	(	PUNCT
ejpam-6163	108	12	2025	2025	NUM
ejpam-6163	108	13	)	)	PUNCT
ejpam-6163	108	14	,	,	PUNCT
ejpam-6163	108	15	6163	6163	NUM
ejpam-6163	108	16	5	5	NUM
ejpam-6163	108	17	of	of	ADP
ejpam-6163	108	18	20	20	NUM
ejpam-6163	108	19	lemma	lemma	PROPN
ejpam-6163	108	20	2	2	NUM
ejpam-6163	108	21	.	.	PUNCT
ejpam-6163	109	1	[	[	X
ejpam-6163	109	2	16	16	NUM
ejpam-6163	109	3	]	]	X
ejpam-6163	109	4	let	let	AUX
ejpam-6163	109	5	l	l	NOUN
ejpam-6163	109	6	be	be	AUX
ejpam-6163	109	7	the	the	DET
ejpam-6163	109	8	laplacian	laplacian	ADJ
ejpam-6163	109	9	matrix	matrix	NOUN
ejpam-6163	109	10	of	of	ADP
ejpam-6163	109	11	a	a	DET
ejpam-6163	109	12	directed	direct	VERB
ejpam-6163	109	13	network	network	NOUN
ejpam-6163	109	14	g	g	NOUN
ejpam-6163	109	15	and	and	CCONJ
ejpam-6163	109	16	βi	βi	PROPN
ejpam-6163	109	17	̸=	̸=	PROPN
ejpam-6163	109	18	0	0	NUM
ejpam-6163	109	19	be	be	AUX
ejpam-6163	109	20	a	a	DET
ejpam-6163	109	21	scalar	scalar	ADJ
ejpam-6163	109	22	scale	scale	NOUN
ejpam-6163	109	23	of	of	ADP
ejpam-6163	109	24	agent	agent	NOUN
ejpam-6163	109	25	i.	i.	NOUN
ejpam-6163	109	26	define	define	VERB
ejpam-6163	109	27	βmax	βmax	NOUN
ejpam-6163	109	28	=	=	SYM
ejpam-6163	109	29	max1≤i≤n|βi|	max1≤i≤n|βi|	PROPN
ejpam-6163	109	30	,	,	PUNCT
ejpam-6163	109	31	h	h	NOUN
ejpam-6163	109	32	=	=	SYM
ejpam-6163	109	33	diag{h1	diag{h1	PROPN
ejpam-6163	109	34	,	,	PUNCT
ejpam-6163	109	35	h2	h2	NOUN
ejpam-6163	109	36	,	,	PUNCT
ejpam-6163	109	37	...	...	PUNCT
ejpam-6163	109	38	,	,	PUNCT
ejpam-6163	109	39	hn	hn	PROPN
ejpam-6163	109	40	}	}	PUNCT
ejpam-6163	109	41	such	such	ADJ
ejpam-6163	109	42	that	that	SCONJ
ejpam-6163	109	43	0	0	NUM
ejpam-6163	109	44	<	<	X
ejpam-6163	109	45	hi	hi	INTJ
ejpam-6163	109	46	<	<	X
ejpam-6163	109	47	1	1	NUM
ejpam-6163	109	48	dmaxβmax	dmaxβmax	X
ejpam-6163	109	49	,	,	PUNCT
ejpam-6163	109	50	i	i	PRON
ejpam-6163	109	51	∈	∈	VERB
ejpam-6163	109	52	in	in	ADP
ejpam-6163	109	53	,	,	PUNCT
ejpam-6163	109	54	and	and	CCONJ
ejpam-6163	109	55	|b|	|b|	PROPN
ejpam-6163	109	56	=	=	PUNCT
ejpam-6163	109	57	diag(|β1|	diag(|β1|	X
ejpam-6163	109	58	,	,	PUNCT
ejpam-6163	109	59	|β2|	|β2|	NOUN
ejpam-6163	109	60	,	,	PUNCT
ejpam-6163	109	61	...	...	PUNCT
ejpam-6163	109	62	,	,	PUNCT
ejpam-6163	109	63	|βn|	|βn|	PROPN
ejpam-6163	109	64	)	)	PUNCT
ejpam-6163	109	65	.	.	PUNCT
ejpam-6163	110	1	then	then	ADV
ejpam-6163	110	2	in	in	ADP
ejpam-6163	110	3	−h|b|l	−h|b|l	PROPN
ejpam-6163	110	4	is	be	AUX
ejpam-6163	110	5	sia	sia	PROPN
ejpam-6163	110	6	,	,	PUNCT
ejpam-6163	110	7	i.e.	i.e.	X
ejpam-6163	110	8	,	,	PUNCT
ejpam-6163	110	9	lim	lim	PROPN
ejpam-6163	110	10	k→∞	k→∞	NOUN
ejpam-6163	111	1	[	[	X
ejpam-6163	111	2	in	in	ADP
ejpam-6163	111	3	−h|b|l]k	−h|b|l]k	NOUN
ejpam-6163	111	4	=	=	SYM
ejpam-6163	111	5	1ny	1ny	ADJ
ejpam-6163	111	6	t	t	NOUN
ejpam-6163	111	7	if	if	SCONJ
ejpam-6163	111	8	and	and	CCONJ
ejpam-6163	111	9	only	only	ADV
ejpam-6163	111	10	if	if	SCONJ
ejpam-6163	111	11	g	g	PROPN
ejpam-6163	111	12	has	have	VERB
ejpam-6163	111	13	a	a	DET
ejpam-6163	111	14	spanning	span	VERB
ejpam-6163	111	15	tree	tree	NOUN
ejpam-6163	111	16	.	.	PUNCT
ejpam-6163	112	1	furthermore	furthermore	ADV
ejpam-6163	112	2	,	,	PUNCT
ejpam-6163	112	3	[	[	X
ejpam-6163	112	4	in	in	ADP
ejpam-6163	112	5	−h|b|l]t	−h|b|l]t	PROPN
ejpam-6163	112	6	y	y	PROPN
ejpam-6163	112	7	=	=	SYM
ejpam-6163	112	8	y	y	PROPN
ejpam-6163	112	9	,	,	PUNCT
ejpam-6163	112	10	1tny	1tny	NUM
ejpam-6163	112	11	=	=	SYM
ejpam-6163	112	12	1	1	NUM
ejpam-6163	112	13	,	,	PUNCT
ejpam-6163	112	14	where	where	SCONJ
ejpam-6163	112	15	each	each	DET
ejpam-6163	112	16	element	element	NOUN
ejpam-6163	112	17	of	of	ADP
ejpam-6163	112	18	y	y	PROPN
ejpam-6163	112	19	is	be	AUX
ejpam-6163	112	20	nonnegative	nonnegative	ADJ
ejpam-6163	112	21	.	.	PUNCT
ejpam-6163	113	1	lemma	lemma	PROPN
ejpam-6163	113	2	3	3	X
ejpam-6163	113	3	.	.	PUNCT
ejpam-6163	114	1	[	[	X
ejpam-6163	114	2	16	16	NUM
ejpam-6163	114	3	]	]	PUNCT
ejpam-6163	114	4	consider	consider	VERB
ejpam-6163	114	5	a	a	DET
ejpam-6163	114	6	hybrid	hybrid	ADJ
ejpam-6163	114	7	multi	multi	ADJ
ejpam-6163	114	8	-	-	ADJ
ejpam-6163	114	9	agent	agent	ADJ
ejpam-6163	114	10	system	system	NOUN
ejpam-6163	114	11	(	(	PUNCT
ejpam-6163	114	12	2.1	2.1	NUM
ejpam-6163	114	13	)	)	PUNCT
ejpam-6163	114	14	over	over	ADP
ejpam-6163	114	15	a	a	DET
ejpam-6163	114	16	connected	connected	ADJ
ejpam-6163	114	17	directed	direct	VERB
ejpam-6163	114	18	graph	graph	NOUN
ejpam-6163	114	19	g	g	PROPN
ejpam-6163	114	20	,	,	PUNCT
ejpam-6163	114	21	where	where	SCONJ
ejpam-6163	114	22	each	each	DET
ejpam-6163	114	23	agent	agent	NOUN
ejpam-6163	114	24	i	i	PRON
ejpam-6163	114	25	is	be	AUX
ejpam-6163	114	26	associated	associate	VERB
ejpam-6163	114	27	with	with	ADP
ejpam-6163	114	28	a	a	DET
ejpam-6163	114	29	nonzero	nonzero	NOUN
ejpam-6163	114	30	scalar	scalar	NOUN
ejpam-6163	114	31	βi	βi	ADP
ejpam-6163	114	32	̸=	̸=	PROPN
ejpam-6163	114	33	0	0	NUM
ejpam-6163	114	34	.	.	PUNCT
ejpam-6163	115	1	suppose	suppose	VERB
ejpam-6163	115	2	all	all	DET
ejpam-6163	115	3	agents	agent	NOUN
ejpam-6163	115	4	update	update	VERB
ejpam-6163	115	5	their	their	PRON
ejpam-6163	115	6	control	control	NOUN
ejpam-6163	115	7	inputs	input	NOUN
ejpam-6163	115	8	at	at	ADP
ejpam-6163	115	9	discrete	discrete	ADJ
ejpam-6163	115	10	sampling	sampling	NOUN
ejpam-6163	115	11	times	times	PROPN
ejpam-6163	115	12	tk	tk	PROPN
ejpam-6163	115	13	and	and	CCONJ
ejpam-6163	115	14	the	the	DET
ejpam-6163	115	15	step	step	NOUN
ejpam-6163	115	16	size	size	NOUN
ejpam-6163	115	17	satisfies	satisfy	VERB
ejpam-6163	115	18	0	0	PUNCT
ejpam-6163	115	19	<	<	X
ejpam-6163	115	20	h	h	X
ejpam-6163	115	21	<	<	X
ejpam-6163	115	22	1	1	NUM
ejpam-6163	115	23	dmaxβmax	dmaxβmax	NOUN
ejpam-6163	115	24	.	.	PUNCT
ejpam-6163	116	1	then	then	ADV
ejpam-6163	116	2	,	,	PUNCT
ejpam-6163	116	3	under	under	ADP
ejpam-6163	116	4	the	the	DET
ejpam-6163	116	5	following	follow	VERB
ejpam-6163	116	6	hybrid	hybrid	ADJ
ejpam-6163	116	7	consensus	consensus	NOUN
ejpam-6163	116	8	protocol	protocol	NOUN
ejpam-6163	116	9	:	:	PUNCT
ejpam-6163	116	10	{	{	PUNCT
ejpam-6163	116	11	ui(t	ui(t	NOUN
ejpam-6163	116	12	)	)	PUNCT
ejpam-6163	116	13	=	=	SYM
ejpam-6163	116	14	|βi|	|βi|	PROPN
ejpam-6163	116	15	∑	∑	PUNCT
ejpam-6163	116	16	j∈ni	j∈ni	PROPN
ejpam-6163	116	17	aij	aij	PROPN
ejpam-6163	116	18	[	[	PUNCT
ejpam-6163	116	19	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	116	20	βixi(tk	βixi(tk	NOUN
ejpam-6163	116	21	)	)	PUNCT
ejpam-6163	116	22	]	]	PUNCT
ejpam-6163	116	23	,	,	PUNCT
ejpam-6163	116	24	for	for	ADP
ejpam-6163	116	25	t	t	PROPN
ejpam-6163	116	26	∈	∈	PROPN
ejpam-6163	116	27	(	(	PUNCT
ejpam-6163	116	28	tk	tk	PROPN
ejpam-6163	116	29	,	,	PUNCT
ejpam-6163	116	30	tk+1	tk+1	PROPN
ejpam-6163	116	31	]	]	PUNCT
ejpam-6163	116	32	,	,	PUNCT
ejpam-6163	116	33	i	i	PRON
ejpam-6163	116	34	∈	∈	VERB
ejpam-6163	117	1	i	i	PRON
ejpam-6163	117	2	m	m	VERB
ejpam-6163	117	3	,	,	PUNCT
ejpam-6163	117	4	ui(tk	ui(tk	PROPN
ejpam-6163	117	5	)	)	PUNCT
ejpam-6163	117	6	=	=	PUNCT
ejpam-6163	118	1	h|βi|	h|βi|	PROPN
ejpam-6163	118	2	∑	∑	PROPN
ejpam-6163	118	3	j∈ni	j∈ni	PROPN
ejpam-6163	118	4	aij	aij	PROPN
ejpam-6163	118	5	[	[	PUNCT
ejpam-6163	118	6	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	118	7	βixi(tk	βixi(tk	NOUN
ejpam-6163	118	8	)	)	PUNCT
ejpam-6163	118	9	]	]	PUNCT
ejpam-6163	118	10	,	,	PUNCT
ejpam-6163	118	11	for	for	ADP
ejpam-6163	118	12	i	i	PRON
ejpam-6163	118	13	∈	∈	PROPN
ejpam-6163	118	14	in	in	ADP
ejpam-6163	118	15	\	\	PROPN
ejpam-6163	118	16	i	i	PRON
ejpam-6163	118	17	m	m	PROPN
ejpam-6163	118	18	,	,	PUNCT
ejpam-6163	118	19	the	the	DET
ejpam-6163	118	20	system	system	NOUN
ejpam-6163	118	21	achieves	achieves	AUX
ejpam-6163	118	22	scaled	scale	VERB
ejpam-6163	118	23	consensus	consensus	NOUN
ejpam-6163	118	24	to	to	ADP
ejpam-6163	118	25	the	the	DET
ejpam-6163	118	26	vector	vector	NOUN
ejpam-6163	118	27	(	(	PUNCT
ejpam-6163	118	28	β1	β1	PROPN
ejpam-6163	118	29	,	,	PUNCT
ejpam-6163	118	30	.	.	PUNCT
ejpam-6163	118	31	.	.	PUNCT
ejpam-6163	118	32	.	.	PUNCT
ejpam-6163	119	1	,	,	PUNCT
ejpam-6163	119	2	βn	βn	PROPN
ejpam-6163	119	3	)	)	PUNCT
ejpam-6163	120	1	if	if	SCONJ
ejpam-6163	120	2	and	and	CCONJ
ejpam-6163	120	3	only	only	ADV
ejpam-6163	120	4	if	if	SCONJ
ejpam-6163	120	5	the	the	DET
ejpam-6163	120	6	graph	graph	NOUN
ejpam-6163	120	7	g	g	NOUN
ejpam-6163	120	8	contains	contain	VERB
ejpam-6163	120	9	a	a	DET
ejpam-6163	120	10	spanning	span	VERB
ejpam-6163	120	11	tree	tree	NOUN
ejpam-6163	120	12	.	.	PUNCT
ejpam-6163	121	1	2.3	2.3	NUM
ejpam-6163	121	2	.	.	PUNCT
ejpam-6163	121	3	conjugate	conjugate	ADJ
ejpam-6163	121	4	gradient	gradient	NOUN
ejpam-6163	121	5	-	-	PUNCT
ejpam-6163	121	6	based	base	VERB
ejpam-6163	121	7	consensus	consensus	NOUN
ejpam-6163	121	8	in	in	ADP
ejpam-6163	121	9	this	this	DET
ejpam-6163	121	10	work	work	NOUN
ejpam-6163	122	1	,	,	PUNCT
ejpam-6163	122	2	we	we	PRON
ejpam-6163	122	3	formulate	formulate	VERB
ejpam-6163	122	4	a	a	DET
ejpam-6163	122	5	finite	finite	ADJ
ejpam-6163	122	6	-	-	PUNCT
ejpam-6163	122	7	time	time	NOUN
ejpam-6163	122	8	consensus	consensus	NOUN
ejpam-6163	122	9	protocol	protocol	NOUN
ejpam-6163	122	10	for	for	ADP
ejpam-6163	122	11	the	the	DET
ejpam-6163	122	12	hybrid	hybrid	ADJ
ejpam-6163	122	13	multi	multi	ADJ
ejpam-6163	122	14	-	-	ADJ
ejpam-6163	122	15	agent	agent	ADJ
ejpam-6163	122	16	system	system	NOUN
ejpam-6163	122	17	using	use	VERB
ejpam-6163	122	18	the	the	DET
ejpam-6163	122	19	conjugate	conjugate	ADJ
ejpam-6163	122	20	gradient	gradient	NOUN
ejpam-6163	122	21	method	method	NOUN
ejpam-6163	122	22	(	(	PUNCT
ejpam-6163	122	23	cgm	cgm	PROPN
ejpam-6163	122	24	)	)	PUNCT
ejpam-6163	123	1	[	[	X
ejpam-6163	123	2	20	20	NUM
ejpam-6163	123	3	]	]	PUNCT
ejpam-6163	123	4	.	.	PUNCT
ejpam-6163	124	1	this	this	DET
ejpam-6163	124	2	approach	approach	NOUN
ejpam-6163	124	3	significantly	significantly	ADV
ejpam-6163	124	4	improves	improve	VERB
ejpam-6163	124	5	convergence	convergence	NOUN
ejpam-6163	124	6	speed	speed	NOUN
ejpam-6163	124	7	by	by	ADP
ejpam-6163	124	8	iteratively	iteratively	ADV
ejpam-6163	124	9	moving	move	VERB
ejpam-6163	124	10	in	in	ADP
ejpam-6163	124	11	mutually	mutually	ADV
ejpam-6163	124	12	conjugate	conjugate	ADJ
ejpam-6163	124	13	directions	direction	NOUN
ejpam-6163	124	14	rather	rather	ADV
ejpam-6163	124	15	than	than	ADP
ejpam-6163	124	16	steepest	steep	ADJ
ejpam-6163	124	17	descent	descent	NOUN
ejpam-6163	124	18	.	.	PUNCT
ejpam-6163	125	1	the	the	DET
ejpam-6163	125	2	cgm	cgm	PROPN
ejpam-6163	125	3	updates	update	VERB
ejpam-6163	125	4	the	the	DET
ejpam-6163	125	5	state	state	NOUN
ejpam-6163	125	6	vector	vector	NOUN
ejpam-6163	125	7	according	accord	VERB
ejpam-6163	125	8	to	to	ADP
ejpam-6163	125	9	the	the	DET
ejpam-6163	125	10	iteration	iteration	NOUN
ejpam-6163	125	11	x(k	x(k	PUNCT
ejpam-6163	125	12	)	)	PUNCT
ejpam-6163	125	13	=	=	PUNCT
ejpam-6163	126	1	x(k	x(k	PROPN
ejpam-6163	126	2	−	−	NOUN
ejpam-6163	126	3	1	1	X
ejpam-6163	126	4	)	)	PUNCT
ejpam-6163	126	5	+	+	CCONJ
ejpam-6163	126	6	tkpk	tkpk	ADJ
ejpam-6163	126	7	,	,	PUNCT
ejpam-6163	126	8	(	(	PUNCT
ejpam-6163	126	9	1	1	X
ejpam-6163	126	10	)	)	PUNCT
ejpam-6163	126	11	where	where	SCONJ
ejpam-6163	126	12	pk	pk	PROPN
ejpam-6163	126	13	∈	∈	PROPN
ejpam-6163	126	14	rn	rn	PROPN
ejpam-6163	126	15	denotes	denote	VERB
ejpam-6163	126	16	the	the	DET
ejpam-6163	126	17	conjugate	conjugate	ADJ
ejpam-6163	126	18	direction	direction	NOUN
ejpam-6163	126	19	at	at	ADP
ejpam-6163	126	20	iteration	iteration	PROPN
ejpam-6163	126	21	k	k	PROPN
ejpam-6163	126	22	,	,	PUNCT
ejpam-6163	126	23	defined	define	VERB
ejpam-6163	126	24	recursively	recursively	ADV
ejpam-6163	126	25	as	as	ADP
ejpam-6163	126	26	pk	pk	NOUN
ejpam-6163	126	27	=	=	NOUN
ejpam-6163	126	28	rk	rk	NOUN
ejpam-6163	126	29	+	+	CCONJ
ejpam-6163	126	30	βkpk−1	βkpk−1	PROPN
ejpam-6163	126	31	,	,	PUNCT
ejpam-6163	126	32	(	(	PUNCT
ejpam-6163	126	33	2	2	NUM
ejpam-6163	126	34	)	)	PUNCT
ejpam-6163	126	35	with	with	ADP
ejpam-6163	126	36	the	the	DET
ejpam-6163	126	37	conjugacy	conjugacy	PROPN
ejpam-6163	126	38	coefficient	coefficient	NOUN
ejpam-6163	126	39	βk	βk	AUX
ejpam-6163	126	40	given	give	VERB
ejpam-6163	126	41	by	by	ADP
ejpam-6163	126	42	βk	βk	ADV
ejpam-6163	126	43	=	=	SYM
ejpam-6163	126	44	(	(	PUNCT
ejpam-6163	126	45	rk	rk	NOUN
ejpam-6163	126	46	,	,	PUNCT
ejpam-6163	126	47	rk	rk	NOUN
ejpam-6163	126	48	)	)	PUNCT
ejpam-6163	126	49	(	(	PUNCT
ejpam-6163	126	50	rk−1	rk−1	PROPN
ejpam-6163	126	51	,	,	PUNCT
ejpam-6163	126	52	rk−1	rk−1	PROPN
ejpam-6163	126	53	)	)	PUNCT
ejpam-6163	126	54	,	,	PUNCT
ejpam-6163	126	55	(	(	PUNCT
ejpam-6163	126	56	3	3	X
ejpam-6163	126	57	)	)	PUNCT
ejpam-6163	126	58	rk	rk	NOUN
ejpam-6163	126	59	∈	∈	PROPN
ejpam-6163	126	60	rn	rn	PROPN
ejpam-6163	126	61	is	be	AUX
ejpam-6163	126	62	the	the	DET
ejpam-6163	126	63	residual	residual	ADJ
ejpam-6163	126	64	vector	vector	NOUN
ejpam-6163	126	65	at	at	ADP
ejpam-6163	126	66	iteration	iteration	PROPN
ejpam-6163	126	67	k	k	PROPN
ejpam-6163	126	68	,	,	PUNCT
ejpam-6163	126	69	measuring	measure	VERB
ejpam-6163	126	70	the	the	DET
ejpam-6163	126	71	difference	difference	NOUN
ejpam-6163	126	72	between	between	ADP
ejpam-6163	126	73	the	the	DET
ejpam-6163	126	74	current	current	ADJ
ejpam-6163	126	75	solution	solution	NOUN
ejpam-6163	126	76	and	and	CCONJ
ejpam-6163	126	77	the	the	DET
ejpam-6163	126	78	exact	exact	ADJ
ejpam-6163	126	79	one	one	NUM
ejpam-6163	126	80	rk	rk	NOUN
ejpam-6163	126	81	=	=	PROPN
ejpam-6163	126	82	b−	b−	PROPN
ejpam-6163	126	83	cxk	cxk	PROPN
ejpam-6163	126	84	,	,	PUNCT
ejpam-6163	126	85	(	(	PUNCT
ejpam-6163	126	86	4	4	X
ejpam-6163	126	87	)	)	PUNCT
ejpam-6163	126	88	where	where	SCONJ
ejpam-6163	126	89	c	c	NOUN
ejpam-6163	126	90	∈	∈	PROPN
ejpam-6163	126	91	rn×n	rn×n	PROPN
ejpam-6163	126	92	is	be	AUX
ejpam-6163	126	93	the	the	DET
ejpam-6163	126	94	system	system	NOUN
ejpam-6163	126	95	matrix	matrix	NOUN
ejpam-6163	126	96	and	and	CCONJ
ejpam-6163	126	97	b	b	PROPN
ejpam-6163	126	98	∈	∈	PROPN
ejpam-6163	126	99	rn	rn	PROPN
ejpam-6163	126	100	is	be	AUX
ejpam-6163	126	101	the	the	DET
ejpam-6163	126	102	target	target	NOUN
ejpam-6163	126	103	vector	vector	NOUN
ejpam-6163	126	104	and	and	CCONJ
ejpam-6163	126	105	tk	tk	PROPN
ejpam-6163	126	106	∈	∈	PROPN
ejpam-6163	126	107	r	r	NOUN
ejpam-6163	126	108	is	be	AUX
ejpam-6163	126	109	the	the	DET
ejpam-6163	126	110	step	step	NOUN
ejpam-6163	126	111	size	size	NOUN
ejpam-6163	126	112	,	,	PUNCT
ejpam-6163	126	113	calculated	calculate	VERB
ejpam-6163	126	114	to	to	PART
ejpam-6163	126	115	minimize	minimize	VERB
ejpam-6163	126	116	the	the	DET
ejpam-6163	126	117	error	error	NOUN
ejpam-6163	126	118	along	along	ADP
ejpam-6163	126	119	the	the	DET
ejpam-6163	126	120	direction	direction	NOUN
ejpam-6163	126	121	pk	pk	NOUN
ejpam-6163	126	122	,	,	PUNCT
ejpam-6163	126	123	given	give	VERB
ejpam-6163	126	124	by	by	ADP
ejpam-6163	126	125	tk	tk	PROPN
ejpam-6163	126	126	=	=	SYM
ejpam-6163	126	127	(	(	PUNCT
ejpam-6163	126	128	rk	rk	NOUN
ejpam-6163	126	129	,	,	PUNCT
ejpam-6163	126	130	pk	pk	NOUN
ejpam-6163	126	131	)	)	PUNCT
ejpam-6163	126	132	(	(	PUNCT
ejpam-6163	126	133	cpk	cpk	PROPN
ejpam-6163	126	134	,	,	PUNCT
ejpam-6163	126	135	pk	pk	NOUN
ejpam-6163	126	136	)	)	PUNCT
ejpam-6163	126	137	.	.	PUNCT
ejpam-6163	127	1	(	(	PUNCT
ejpam-6163	127	2	5	5	X
ejpam-6163	127	3	)	)	PUNCT
ejpam-6163	127	4	m.	m.	NOUN
ejpam-6163	127	5	donganont	donganont	PROPN
ejpam-6163	127	6	,	,	PUNCT
ejpam-6163	127	7	s.	s.	PROPN
ejpam-6163	127	8	intawichai	intawichai	PROPN
ejpam-6163	127	9	,	,	PUNCT
ejpam-6163	127	10	s.	s.	PROPN
ejpam-6163	127	11	phongchan	phongchan	PROPN
ejpam-6163	127	12	/	/	SYM
ejpam-6163	127	13	eur	eur	PROPN
ejpam-6163	127	14	.	.	PUNCT
ejpam-6163	128	1	j.	j.	PROPN
ejpam-6163	128	2	pure	pure	PROPN
ejpam-6163	128	3	appl	appl	PROPN
ejpam-6163	128	4	.	.	PROPN
ejpam-6163	128	5	math	math	PROPN
ejpam-6163	128	6	,	,	PUNCT
ejpam-6163	128	7	18	18	NUM
ejpam-6163	128	8	(	(	PUNCT
ejpam-6163	128	9	2	2	NUM
ejpam-6163	128	10	)	)	PUNCT
ejpam-6163	128	11	(	(	PUNCT
ejpam-6163	128	12	2025	2025	NUM
ejpam-6163	128	13	)	)	PUNCT
ejpam-6163	128	14	,	,	PUNCT
ejpam-6163	128	15	6163	6163	NUM
ejpam-6163	128	16	6	6	NUM
ejpam-6163	128	17	of	of	ADP
ejpam-6163	128	18	20	20	NUM
ejpam-6163	128	19	the	the	DET
ejpam-6163	128	20	matrix	matrix	NOUN
ejpam-6163	128	21	c	c	NOUN
ejpam-6163	128	22	is	be	AUX
ejpam-6163	128	23	defined	define	VERB
ejpam-6163	128	24	as	as	ADP
ejpam-6163	128	25	c	c	NOUN
ejpam-6163	128	26	=	=	SYM
ejpam-6163	128	27	ρin	ρin	NOUN
ejpam-6163	128	28	+	+	X
ejpam-6163	128	29	l	l	NOUN
ejpam-6163	128	30	,	,	PUNCT
ejpam-6163	128	31	where	where	SCONJ
ejpam-6163	128	32	ρ	ρ	PROPN
ejpam-6163	128	33	>	>	X
ejpam-6163	128	34	0	0	NUM
ejpam-6163	128	35	is	be	AUX
ejpam-6163	128	36	a	a	DET
ejpam-6163	128	37	small	small	ADJ
ejpam-6163	128	38	scalar	scalar	ADJ
ejpam-6163	128	39	ensuring	ensure	VERB
ejpam-6163	128	40	positive	positive	ADJ
ejpam-6163	128	41	definiteness	definiteness	NOUN
ejpam-6163	128	42	and	and	CCONJ
ejpam-6163	128	43	l	l	NOUN
ejpam-6163	128	44	is	be	AUX
ejpam-6163	128	45	the	the	DET
ejpam-6163	128	46	laplacian	laplacian	ADJ
ejpam-6163	128	47	matrix	matrix	NOUN
ejpam-6163	128	48	of	of	ADP
ejpam-6163	128	49	the	the	DET
ejpam-6163	128	50	underlying	underlie	VERB
ejpam-6163	128	51	communication	communication	NOUN
ejpam-6163	128	52	graph	graph	NOUN
ejpam-6163	128	53	.	.	PUNCT
ejpam-6163	129	1	the	the	DET
ejpam-6163	129	2	cgm	cgm	PROPN
ejpam-6163	129	3	is	be	AUX
ejpam-6163	129	4	particularly	particularly	ADV
ejpam-6163	129	5	well	well	ADV
ejpam-6163	129	6	-	-	PUNCT
ejpam-6163	129	7	suited	suit	VERB
ejpam-6163	129	8	for	for	ADP
ejpam-6163	129	9	consensus	consensus	NOUN
ejpam-6163	129	10	problems	problem	NOUN
ejpam-6163	129	11	in	in	ADP
ejpam-6163	129	12	multi	multi	ADJ
ejpam-6163	129	13	-	-	ADJ
ejpam-6163	129	14	agent	agent	ADJ
ejpam-6163	129	15	networks	network	NOUN
ejpam-6163	129	16	because	because	SCONJ
ejpam-6163	129	17	it	it	PRON
ejpam-6163	129	18	guarantees	guarantee	VERB
ejpam-6163	129	19	convergence	convergence	NOUN
ejpam-6163	129	20	to	to	ADP
ejpam-6163	129	21	the	the	DET
ejpam-6163	129	22	consensus	consensus	NOUN
ejpam-6163	129	23	state	state	NOUN
ejpam-6163	129	24	in	in	ADP
ejpam-6163	129	25	at	at	ADP
ejpam-6163	129	26	most	most	ADJ
ejpam-6163	129	27	n	n	PRON
ejpam-6163	129	28	iterations	iteration	NOUN
ejpam-6163	129	29	for	for	ADP
ejpam-6163	129	30	an	an	DET
ejpam-6163	129	31	n	n	CCONJ
ejpam-6163	129	32	-	-	PUNCT
ejpam-6163	129	33	agent	agent	NOUN
ejpam-6163	129	34	system	system	NOUN
ejpam-6163	129	35	,	,	PUNCT
ejpam-6163	129	36	provided	provide	VERB
ejpam-6163	129	37	that	that	SCONJ
ejpam-6163	129	38	c	c	PROPN
ejpam-6163	129	39	is	be	AUX
ejpam-6163	129	40	symmetric	symmetric	ADJ
ejpam-6163	129	41	and	and	CCONJ
ejpam-6163	129	42	positive	positive	ADJ
ejpam-6163	129	43	definite	definite	ADJ
ejpam-6163	129	44	.	.	PUNCT
ejpam-6163	130	1	this	this	DET
ejpam-6163	130	2	property	property	NOUN
ejpam-6163	130	3	makes	make	VERB
ejpam-6163	130	4	cgm	cgm	PROPN
ejpam-6163	130	5	an	an	DET
ejpam-6163	130	6	attractive	attractive	ADJ
ejpam-6163	130	7	method	method	NOUN
ejpam-6163	130	8	for	for	ADP
ejpam-6163	130	9	achieving	achieve	VERB
ejpam-6163	130	10	fast	fast	ADJ
ejpam-6163	130	11	and	and	CCONJ
ejpam-6163	130	12	reliable	reliable	ADJ
ejpam-6163	130	13	consensus	consensus	NOUN
ejpam-6163	130	14	in	in	ADP
ejpam-6163	130	15	hybrid	hybrid	ADJ
ejpam-6163	130	16	settings	setting	NOUN
ejpam-6163	130	17	.	.	PUNCT
ejpam-6163	131	1	3	3	X
ejpam-6163	131	2	.	.	X
ejpam-6163	131	3	main	main	ADJ
ejpam-6163	131	4	results	result	NOUN
ejpam-6163	131	5	this	this	DET
ejpam-6163	131	6	section	section	NOUN
ejpam-6163	131	7	presents	present	VERB
ejpam-6163	131	8	the	the	DET
ejpam-6163	131	9	main	main	ADJ
ejpam-6163	131	10	theoretical	theoretical	ADJ
ejpam-6163	131	11	contributions	contribution	NOUN
ejpam-6163	131	12	of	of	ADP
ejpam-6163	131	13	the	the	DET
ejpam-6163	131	14	paper	paper	NOUN
ejpam-6163	131	15	,	,	PUNCT
ejpam-6163	131	16	focusing	focus	VERB
ejpam-6163	131	17	on	on	ADP
ejpam-6163	131	18	finitetime	finitetime	ADJ
ejpam-6163	131	19	scaled	scale	VERB
ejpam-6163	131	20	consensus	consensus	NOUN
ejpam-6163	131	21	in	in	ADP
ejpam-6163	131	22	hybrid	hybrid	ADJ
ejpam-6163	131	23	multi	multi	ADJ
ejpam-6163	131	24	-	-	ADJ
ejpam-6163	131	25	agent	agent	ADJ
ejpam-6163	131	26	systems	system	NOUN
ejpam-6163	131	27	(	(	PUNCT
ejpam-6163	131	28	hmas	hmas	PROPN
ejpam-6163	131	29	)	)	PUNCT
ejpam-6163	131	30	.	.	PUNCT
ejpam-6163	132	1	we	we	PRON
ejpam-6163	132	2	consider	consider	VERB
ejpam-6163	132	3	two	two	NUM
ejpam-6163	132	4	hybrid	hybrid	ADJ
ejpam-6163	132	5	consensus	consensus	NOUN
ejpam-6163	132	6	protocols	protocol	NOUN
ejpam-6163	132	7	under	under	ADP
ejpam-6163	132	8	different	different	ADJ
ejpam-6163	132	9	information	information	NOUN
ejpam-6163	132	10	access	access	NOUN
ejpam-6163	132	11	scenarios	scenario	NOUN
ejpam-6163	132	12	.	.	PUNCT
ejpam-6163	133	1	in	in	ADP
ejpam-6163	133	2	case	case	NOUN
ejpam-6163	133	3	i	i	PRON
ejpam-6163	133	4	,	,	PUNCT
ejpam-6163	133	5	all	all	DET
ejpam-6163	133	6	agents	agent	NOUN
ejpam-6163	133	7	update	update	VERB
ejpam-6163	133	8	their	their	PRON
ejpam-6163	133	9	control	control	NOUN
ejpam-6163	133	10	inputs	input	VERB
ejpam-6163	133	11	synchronously	synchronously	ADV
ejpam-6163	133	12	at	at	ADP
ejpam-6163	133	13	discrete	discrete	ADJ
ejpam-6163	133	14	sampling	sampling	NOUN
ejpam-6163	133	15	times	time	NOUN
ejpam-6163	133	16	based	base	VERB
ejpam-6163	133	17	on	on	ADP
ejpam-6163	133	18	sampled	sample	VERB
ejpam-6163	133	19	neighbor	neighbor	NOUN
ejpam-6163	133	20	states	state	NOUN
ejpam-6163	133	21	.	.	PUNCT
ejpam-6163	134	1	in	in	ADP
ejpam-6163	134	2	contrast	contrast	NOUN
ejpam-6163	134	3	,	,	PUNCT
ejpam-6163	134	4	case	case	NOUN
ejpam-6163	134	5	ii	ii	NOUN
ejpam-6163	134	6	allows	allow	VERB
ejpam-6163	134	7	continuous	continuous	ADJ
ejpam-6163	134	8	-	-	PUNCT
ejpam-6163	134	9	time	time	NOUN
ejpam-6163	134	10	agents	agent	NOUN
ejpam-6163	134	11	to	to	PART
ejpam-6163	134	12	observe	observe	VERB
ejpam-6163	134	13	their	their	PRON
ejpam-6163	134	14	own	own	ADJ
ejpam-6163	134	15	states	state	NOUN
ejpam-6163	134	16	in	in	ADP
ejpam-6163	134	17	real	real	ADJ
ejpam-6163	134	18	time	time	NOUN
ejpam-6163	134	19	while	while	SCONJ
ejpam-6163	134	20	still	still	ADV
ejpam-6163	134	21	relying	rely	VERB
ejpam-6163	134	22	on	on	ADP
ejpam-6163	134	23	sampled	sample	VERB
ejpam-6163	134	24	neighbor	neighbor	NOUN
ejpam-6163	134	25	information	information	NOUN
ejpam-6163	134	26	.	.	PUNCT
ejpam-6163	135	1	for	for	ADP
ejpam-6163	135	2	both	both	DET
ejpam-6163	135	3	cases	case	NOUN
ejpam-6163	135	4	,	,	PUNCT
ejpam-6163	135	5	we	we	PRON
ejpam-6163	135	6	design	design	VERB
ejpam-6163	135	7	consensus	consensus	NOUN
ejpam-6163	135	8	protocols	protocol	NOUN
ejpam-6163	135	9	and	and	CCONJ
ejpam-6163	135	10	employ	employ	VERB
ejpam-6163	135	11	the	the	DET
ejpam-6163	135	12	conjugate	conjugate	ADJ
ejpam-6163	135	13	gradient	gradient	NOUN
ejpam-6163	135	14	method	method	NOUN
ejpam-6163	135	15	(	(	PUNCT
ejpam-6163	135	16	cgm	cgm	PROPN
ejpam-6163	135	17	)	)	PUNCT
ejpam-6163	135	18	to	to	PART
ejpam-6163	135	19	derive	derive	VERB
ejpam-6163	135	20	necessary	necessary	ADJ
ejpam-6163	135	21	and	and	CCONJ
ejpam-6163	135	22	sufficient	sufficient	ADJ
ejpam-6163	135	23	conditions	condition	NOUN
ejpam-6163	135	24	ensuring	ensure	VERB
ejpam-6163	135	25	finite	finite	ADJ
ejpam-6163	135	26	-	-	PUNCT
ejpam-6163	135	27	time	time	NOUN
ejpam-6163	135	28	scaled	scale	VERB
ejpam-6163	135	29	consensus	consensus	NOUN
ejpam-6163	135	30	.	.	PUNCT
ejpam-6163	136	1	3.1	3.1	NUM
ejpam-6163	136	2	.	.	PUNCT
ejpam-6163	136	3	case	case	NOUN
ejpam-6163	136	4	i	i	PRON
ejpam-6163	136	5	assume	assume	VERB
ejpam-6163	136	6	that	that	SCONJ
ejpam-6163	136	7	all	all	DET
ejpam-6163	136	8	agents	agent	NOUN
ejpam-6163	136	9	communicate	communicate	VERB
ejpam-6163	136	10	with	with	ADP
ejpam-6163	136	11	their	their	PRON
ejpam-6163	136	12	neighbours	neighbour	NOUN
ejpam-6163	136	13	and	and	CCONJ
ejpam-6163	136	14	update	update	VERB
ejpam-6163	136	15	their	their	PRON
ejpam-6163	136	16	control	control	NOUN
ejpam-6163	136	17	inputs	input	NOUN
ejpam-6163	136	18	in	in	ADP
ejpam-6163	136	19	a	a	DET
ejpam-6163	136	20	sampling	sampling	NOUN
ejpam-6163	136	21	time	time	NOUN
ejpam-6163	136	22	tk	tk	PROPN
ejpam-6163	136	23	.	.	PROPN
ejpam-6163	137	1	then	then	ADV
ejpam-6163	137	2	,	,	PUNCT
ejpam-6163	137	3	the	the	DET
ejpam-6163	137	4	consensus	consensus	NOUN
ejpam-6163	137	5	protocol	protocol	NOUN
ejpam-6163	137	6	for	for	ADP
ejpam-6163	137	7	hybrid	hybrid	ADJ
ejpam-6163	137	8	multi	multi	ADJ
ejpam-6163	137	9	-	-	ADJ
ejpam-6163	137	10	agent	agent	ADJ
ejpam-6163	137	11	system	system	NOUN
ejpam-6163	137	12	(	(	PUNCT
ejpam-6163	137	13	2.1	2.1	NUM
ejpam-6163	137	14	)	)	PUNCT
ejpam-6163	137	15	is	be	AUX
ejpam-6163	137	16	defined	define	VERB
ejpam-6163	137	17	as	as	ADP
ejpam-6163	137	18	follows:	follows:	NOUN
ejpam-6163	137	19	ui(t	ui(t	NOUN
ejpam-6163	137	20	)	)	PUNCT
ejpam-6163	138	1	=	=	SYM
ejpam-6163	138	2	sgn(βi	sgn(βi	X
ejpam-6163	138	3	)	)	PUNCT
ejpam-6163	138	4	∑	∑	PUNCT
ejpam-6163	138	5	j∈ni	j∈ni	PROPN
ejpam-6163	138	6	aij	aij	PROPN
ejpam-6163	138	7	[	[	PUNCT
ejpam-6163	138	8	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	138	9	βixi(tk	βixi(tk	NOUN
ejpam-6163	138	10	)	)	PUNCT
ejpam-6163	138	11	]	]	PUNCT
ejpam-6163	138	12	,	,	PUNCT
ejpam-6163	138	13	for	for	ADP
ejpam-6163	138	14	t	t	PROPN
ejpam-6163	138	15	∈	∈	PROPN
ejpam-6163	138	16	(	(	PUNCT
ejpam-6163	138	17	tk	tk	PROPN
ejpam-6163	138	18	,	,	PUNCT
ejpam-6163	138	19	tk+1	tk+1	PROPN
ejpam-6163	138	20	]	]	PUNCT
ejpam-6163	138	21	,	,	PUNCT
ejpam-6163	138	22	i	i	PRON
ejpam-6163	138	23	∈	∈	VERB
ejpam-6163	139	1	i	i	PRON
ejpam-6163	139	2	m	m	VERB
ejpam-6163	139	3	ui(tk	ui(tk	NOUN
ejpam-6163	139	4	)	)	PUNCT
ejpam-6163	140	1	=	=	SYM
ejpam-6163	140	2	h	h	NOUN
ejpam-6163	140	3	·	·	PUNCT
ejpam-6163	140	4	sgn(βi	sgn(βi	NUM
ejpam-6163	140	5	)	)	PUNCT
ejpam-6163	140	6	∑	∑	PUNCT
ejpam-6163	140	7	j∈ni	j∈ni	PROPN
ejpam-6163	140	8	aij	aij	PROPN
ejpam-6163	140	9	[	[	PUNCT
ejpam-6163	140	10	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	140	11	βixi(tk	βixi(tk	NOUN
ejpam-6163	140	12	)	)	PUNCT
ejpam-6163	140	13	]	]	PUNCT
ejpam-6163	140	14	,	,	PUNCT
ejpam-6163	140	15	for	for	SCONJ
ejpam-6163	140	16	i	i	PRON
ejpam-6163	140	17	∈	∈	PROPN
ejpam-6163	140	18	in	in	ADP
ejpam-6163	140	19	/	/	SYM
ejpam-6163	140	20	im	im	INTJ
ejpam-6163	140	21	,	,	PUNCT
ejpam-6163	140	22	(	(	PUNCT
ejpam-6163	140	23	3.1	3.1	NUM
ejpam-6163	140	24	)	)	PUNCT
ejpam-6163	140	25	where	where	SCONJ
ejpam-6163	140	26	a	a	PRON
ejpam-6163	141	1	=	=	X
ejpam-6163	141	2	[	[	X
ejpam-6163	141	3	aij	aij	X
ejpam-6163	141	4	]	]	PUNCT
ejpam-6163	141	5	is	be	AUX
ejpam-6163	141	6	the	the	DET
ejpam-6163	141	7	weighted	weight	VERB
ejpam-6163	141	8	adjacency	adjacency	NOUN
ejpam-6163	141	9	matrices	matrix	NOUN
ejpam-6163	141	10	associated	associate	VERB
ejpam-6163	141	11	with	with	ADP
ejpam-6163	141	12	the	the	DET
ejpam-6163	141	13	graph	graph	NOUN
ejpam-6163	141	14	g	g	NOUN
ejpam-6163	141	15	and	and	CCONJ
ejpam-6163	141	16	h	h	NOUN
ejpam-6163	142	1	=	=	NOUN
ejpam-6163	142	2	hi	hi	INTJ
ejpam-6163	143	1	=	=	SYM
ejpam-6163	143	2	tk+1	tk+1	NUM
ejpam-6163	143	3	−	−	PROPN
ejpam-6163	143	4	tk	tk	PROPN
ejpam-6163	143	5	is	be	AUX
ejpam-6163	143	6	the	the	DET
ejpam-6163	143	7	sampling	sampling	NOUN
ejpam-6163	143	8	period	period	NOUN
ejpam-6163	143	9	.	.	PUNCT
ejpam-6163	144	1	theorem	theorem	NOUN
ejpam-6163	144	2	1	1	NUM
ejpam-6163	144	3	.	.	PUNCT
ejpam-6163	145	1	let	let	VERB
ejpam-6163	145	2	g	g	PRON
ejpam-6163	145	3	be	be	AUX
ejpam-6163	145	4	a	a	DET
ejpam-6163	145	5	directed	direct	VERB
ejpam-6163	145	6	and	and	CCONJ
ejpam-6163	145	7	connected	connected	ADJ
ejpam-6163	145	8	communication	communication	NOUN
ejpam-6163	145	9	graph	graph	NOUN
ejpam-6163	145	10	associated	associate	VERB
ejpam-6163	145	11	with	with	ADP
ejpam-6163	145	12	the	the	DET
ejpam-6163	145	13	hybrid	hybrid	ADJ
ejpam-6163	145	14	multi	multi	ADJ
ejpam-6163	145	15	-	-	ADJ
ejpam-6163	145	16	agent	agent	ADJ
ejpam-6163	145	17	system	system	NOUN
ejpam-6163	145	18	(	(	PUNCT
ejpam-6163	145	19	2.1	2.1	NUM
ejpam-6163	145	20	)	)	PUNCT
ejpam-6163	145	21	,	,	PUNCT
ejpam-6163	145	22	and	and	CCONJ
ejpam-6163	145	23	let	let	VERB
ejpam-6163	145	24	βi	βi	PRON
ejpam-6163	145	25	̸=	̸=	PROPN
ejpam-6163	145	26	0	0	NUM
ejpam-6163	145	27	be	be	AUX
ejpam-6163	145	28	an	an	DET
ejpam-6163	145	29	arbitrary	arbitrary	ADJ
ejpam-6163	145	30	but	but	CCONJ
ejpam-6163	145	31	fixed	fix	VERB
ejpam-6163	145	32	scalar	scalar	ADJ
ejpam-6163	145	33	weight	weight	NOUN
ejpam-6163	145	34	assigned	assign	VERB
ejpam-6163	145	35	to	to	AUX
ejpam-6163	145	36	agent	agent	VERB
ejpam-6163	145	37	i	i	PRON
ejpam-6163	145	38	∈	∈	PROPN
ejpam-6163	145	39	in	in	ADP
ejpam-6163	145	40	.	.	PUNCT
ejpam-6163	146	1	suppose	suppose	VERB
ejpam-6163	146	2	that	that	SCONJ
ejpam-6163	146	3	the	the	DET
ejpam-6163	146	4	hybrid	hybrid	NOUN
ejpam-6163	146	5	system	system	NOUN
ejpam-6163	146	6	evolves	evolve	VERB
ejpam-6163	146	7	under	under	ADP
ejpam-6163	146	8	the	the	DET
ejpam-6163	146	9	consensus	consensus	NOUN
ejpam-6163	146	10	protocol	protocol	NOUN
ejpam-6163	146	11	(	(	PUNCT
ejpam-6163	146	12	3.1	3.1	NUM
ejpam-6163	146	13	)	)	PUNCT
ejpam-6163	146	14	,	,	PUNCT
ejpam-6163	146	15	and	and	CCONJ
ejpam-6163	146	16	define	define	VERB
ejpam-6163	146	17	the	the	DET
ejpam-6163	146	18	weighted	weighted	ADJ
ejpam-6163	146	19	state	state	NOUN
ejpam-6163	146	20	vector	vector	NOUN
ejpam-6163	146	21	y(t	y(t	PROPN
ejpam-6163	146	22	)	)	PUNCT
ejpam-6163	146	23	=	=	SYM
ejpam-6163	146	24	bx(t	bx(t	PROPN
ejpam-6163	146	25	)	)	PUNCT
ejpam-6163	146	26	,	,	PUNCT
ejpam-6163	146	27	where	where	SCONJ
ejpam-6163	146	28	b	b	X
ejpam-6163	146	29	=	=	NOUN
ejpam-6163	146	30	diag(β1	diag(β1	PROPN
ejpam-6163	146	31	,	,	PUNCT
ejpam-6163	146	32	.	.	PUNCT
ejpam-6163	146	33	.	.	PUNCT
ejpam-6163	146	34	.	.	PUNCT
ejpam-6163	147	1	,	,	PUNCT
ejpam-6163	147	2	βn	βn	PROPN
ejpam-6163	147	3	)	)	PUNCT
ejpam-6163	147	4	.	.	PUNCT
ejpam-6163	148	1	assume	assume	VERB
ejpam-6163	148	2	that	that	SCONJ
ejpam-6163	148	3	the	the	DET
ejpam-6163	148	4	sampling	sample	VERB
ejpam-6163	148	5	period	period	NOUN
ejpam-6163	148	6	h	h	NOUN
ejpam-6163	148	7	satisfies	satisfy	VERB
ejpam-6163	148	8	0	0	PUNCT
ejpam-6163	148	9	<	<	X
ejpam-6163	148	10	h	h	X
ejpam-6163	148	11	<	<	X
ejpam-6163	148	12	1	1	NUM
ejpam-6163	148	13	dmaxβmax	dmaxβmax	X
ejpam-6163	148	14	,	,	PUNCT
ejpam-6163	148	15	m.	m.	NOUN
ejpam-6163	148	16	donganont	donganont	PROPN
ejpam-6163	148	17	,	,	PUNCT
ejpam-6163	148	18	s.	s.	PROPN
ejpam-6163	148	19	intawichai	intawichai	PROPN
ejpam-6163	148	20	,	,	PUNCT
ejpam-6163	148	21	s.	s.	PROPN
ejpam-6163	148	22	phongchan	phongchan	PROPN
ejpam-6163	148	23	/	/	SYM
ejpam-6163	148	24	eur	eur	PROPN
ejpam-6163	148	25	.	.	PUNCT
ejpam-6163	149	1	j.	j.	PROPN
ejpam-6163	149	2	pure	pure	PROPN
ejpam-6163	149	3	appl	appl	PROPN
ejpam-6163	149	4	.	.	PROPN
ejpam-6163	149	5	math	math	PROPN
ejpam-6163	149	6	,	,	PUNCT
ejpam-6163	149	7	18	18	NUM
ejpam-6163	149	8	(	(	PUNCT
ejpam-6163	149	9	2	2	NUM
ejpam-6163	149	10	)	)	PUNCT
ejpam-6163	149	11	(	(	PUNCT
ejpam-6163	149	12	2025	2025	NUM
ejpam-6163	149	13	)	)	PUNCT
ejpam-6163	149	14	,	,	PUNCT
ejpam-6163	149	15	6163	6163	NUM
ejpam-6163	149	16	7	7	NUM
ejpam-6163	149	17	of	of	ADP
ejpam-6163	149	18	20	20	NUM
ejpam-6163	149	19	where	where	SCONJ
ejpam-6163	149	20	dmax	dmax	ADJ
ejpam-6163	149	21	=	=	ADJ
ejpam-6163	149	22	maxi	maxi	ADJ
ejpam-6163	149	23	∑	∑	PUNCT
ejpam-6163	149	24	j∈ni	j∈ni	PROPN
ejpam-6163	149	25	aij	aij	PROPN
ejpam-6163	149	26	and	and	CCONJ
ejpam-6163	149	27	βmax	βmax	NOUN
ejpam-6163	149	28	=	=	PUNCT
ejpam-6163	149	29	maxi	maxi	ADJ
ejpam-6163	149	30	|βi|	|βi|	PROPN
ejpam-6163	149	31	.	.	PUNCT
ejpam-6163	150	1	then	then	ADV
ejpam-6163	150	2	,	,	PUNCT
ejpam-6163	150	3	for	for	ADP
ejpam-6163	150	4	any	any	DET
ejpam-6163	150	5	initial	initial	ADJ
ejpam-6163	150	6	condition	condition	NOUN
ejpam-6163	150	7	y(0	y(0	PROPN
ejpam-6163	150	8	)	)	PUNCT
ejpam-6163	150	9	∈	∈	PROPN
ejpam-6163	150	10	rn	rn	PROPN
ejpam-6163	150	11	,	,	PUNCT
ejpam-6163	150	12	the	the	DET
ejpam-6163	150	13	discrete	discrete	ADJ
ejpam-6163	150	14	-	-	PUNCT
ejpam-6163	150	15	time	time	NOUN
ejpam-6163	150	16	update	update	NOUN
ejpam-6163	150	17	law	law	NOUN
ejpam-6163	150	18	y(k	y(k	PROPN
ejpam-6163	150	19	)	)	PUNCT
ejpam-6163	151	1	=	=	SYM
ejpam-6163	151	2	y(k	y(k	PROPN
ejpam-6163	151	3	−	−	PROPN
ejpam-6163	151	4	1	1	NUM
ejpam-6163	151	5	)	)	PUNCT
ejpam-6163	151	6	+	+	CCONJ
ejpam-6163	151	7	tkpk	tkpk	ADJ
ejpam-6163	151	8	,	,	PUNCT
ejpam-6163	151	9	with	with	ADP
ejpam-6163	151	10	tk	tk	PROPN
ejpam-6163	151	11	=	=	SYM
ejpam-6163	151	12	(	(	PUNCT
ejpam-6163	151	13	b−	b−	PROPN
ejpam-6163	151	14	cy(k−1	cy(k−1	PROPN
ejpam-6163	151	15	)	)	PUNCT
ejpam-6163	151	16	,	,	PUNCT
ejpam-6163	151	17	pk	pk	NOUN
ejpam-6163	151	18	)	)	PUNCT
ejpam-6163	151	19	(	(	PUNCT
ejpam-6163	151	20	cpk	cpk	PROPN
ejpam-6163	151	21	,	,	PUNCT
ejpam-6163	151	22	pk	pk	NOUN
ejpam-6163	151	23	)	)	PUNCT
ejpam-6163	151	24	,	,	PUNCT
ejpam-6163	151	25	k	k	X
ejpam-6163	151	26	=	=	SYM
ejpam-6163	151	27	1	1	NUM
ejpam-6163	151	28	,	,	PUNCT
ejpam-6163	151	29	2	2	NUM
ejpam-6163	151	30	,	,	PUNCT
ejpam-6163	151	31	.	.	PUNCT
ejpam-6163	151	32	.	.	PUNCT
ejpam-6163	152	1	.	.	PUNCT
ejpam-6163	153	1	,	,	PUNCT
ejpam-6163	153	2	n	n	CCONJ
ejpam-6163	153	3	,	,	PUNCT
ejpam-6163	154	1	where	where	SCONJ
ejpam-6163	154	2	{	{	PUNCT
ejpam-6163	154	3	p1	p1	NOUN
ejpam-6163	154	4	,	,	PUNCT
ejpam-6163	154	5	.	.	PUNCT
ejpam-6163	154	6	.	.	PUNCT
ejpam-6163	155	1	.	.	PUNCT
ejpam-6163	156	1	,	,	PUNCT
ejpam-6163	156	2	pn	pn	PROPN
ejpam-6163	156	3	}	}	PUNCT
ejpam-6163	156	4	is	be	AUX
ejpam-6163	156	5	a	a	DET
ejpam-6163	156	6	set	set	NOUN
ejpam-6163	156	7	of	of	ADP
ejpam-6163	156	8	c	c	NOUN
ejpam-6163	156	9	-	-	PUNCT
ejpam-6163	156	10	conjugate	conjugate	ADJ
ejpam-6163	156	11	directions	direction	NOUN
ejpam-6163	156	12	and	and	CCONJ
ejpam-6163	156	13	c	c	NOUN
ejpam-6163	156	14	=	=	SYM
ejpam-6163	156	15	ρi	ρi	PROPN
ejpam-6163	157	1	+	+	NOUN
ejpam-6163	157	2	h|b|l	h|b|l	PROPN
ejpam-6163	157	3	,	,	PUNCT
ejpam-6163	157	4	b	b	NOUN
ejpam-6163	157	5	=	=	PUNCT
ejpam-6163	157	6	ρy∗	ρy∗	PROPN
ejpam-6163	157	7	,	,	PUNCT
ejpam-6163	157	8	0	0	PUNCT
ejpam-6163	157	9	<	<	X
ejpam-6163	157	10	ρ	ρ	X
ejpam-6163	157	11	<	<	X
ejpam-6163	157	12	1	1	NUM
ejpam-6163	157	13	,	,	PUNCT
ejpam-6163	157	14	guarantees	guarantee	VERB
ejpam-6163	157	15	that	that	SCONJ
ejpam-6163	157	16	the	the	DET
ejpam-6163	157	17	hybrid	hybrid	ADJ
ejpam-6163	157	18	multi	multi	ADJ
ejpam-6163	157	19	-	-	ADJ
ejpam-6163	157	20	agent	agent	ADJ
ejpam-6163	157	21	system	system	NOUN
ejpam-6163	157	22	(	(	PUNCT
ejpam-6163	157	23	2.1	2.1	NUM
ejpam-6163	157	24	)	)	PUNCT
ejpam-6163	157	25	achieves	achieve	VERB
ejpam-6163	157	26	scaled	scale	VERB
ejpam-6163	157	27	consensus	consensus	NOUN
ejpam-6163	157	28	in	in	ADP
ejpam-6163	157	29	finite	finite	ADJ
ejpam-6163	157	30	time	time	NOUN
ejpam-6163	158	1	n	n	CCONJ
ejpam-6163	158	2	if	if	SCONJ
ejpam-6163	158	3	and	and	CCONJ
ejpam-6163	158	4	only	only	ADV
ejpam-6163	158	5	if	if	SCONJ
ejpam-6163	158	6	the	the	DET
ejpam-6163	158	7	communication	communication	NOUN
ejpam-6163	158	8	graph	graph	NOUN
ejpam-6163	158	9	g	g	PROPN
ejpam-6163	158	10	contains	contain	VERB
ejpam-6163	158	11	a	a	DET
ejpam-6163	158	12	directed	directed	ADJ
ejpam-6163	158	13	spanning	span	VERB
ejpam-6163	158	14	tree	tree	NOUN
ejpam-6163	158	15	.	.	PUNCT
ejpam-6163	159	1	here	here	ADV
ejpam-6163	159	2	,	,	PUNCT
ejpam-6163	159	3	h	h	NOUN
ejpam-6163	159	4	=	=	SYM
ejpam-6163	159	5	diag(h1	diag(h1	PROPN
ejpam-6163	159	6	,	,	PUNCT
ejpam-6163	159	7	.	.	PUNCT
ejpam-6163	159	8	.	.	PUNCT
ejpam-6163	159	9	.	.	PUNCT
ejpam-6163	160	1	,	,	PUNCT
ejpam-6163	160	2	hn	hn	PROPN
ejpam-6163	160	3	)	)	PUNCT
ejpam-6163	160	4	is	be	AUX
ejpam-6163	160	5	the	the	DET
ejpam-6163	160	6	step	step	NOUN
ejpam-6163	160	7	-	-	PUNCT
ejpam-6163	160	8	size	size	NOUN
ejpam-6163	160	9	matrix	matrix	NOUN
ejpam-6163	160	10	associated	associate	VERB
ejpam-6163	160	11	with	with	ADP
ejpam-6163	160	12	each	each	DET
ejpam-6163	160	13	agent	agent	NOUN
ejpam-6163	160	14	,	,	PUNCT
ejpam-6163	160	15	l	l	NOUN
ejpam-6163	160	16	denotes	denote	VERB
ejpam-6163	160	17	the	the	DET
ejpam-6163	160	18	graph	graph	NOUN
ejpam-6163	160	19	laplacian	laplacian	ADJ
ejpam-6163	160	20	,	,	PUNCT
ejpam-6163	160	21	and	and	CCONJ
ejpam-6163	160	22	y∗	y∗	ADV
ejpam-6163	160	23	is	be	AUX
ejpam-6163	160	24	the	the	DET
ejpam-6163	160	25	unique	unique	ADJ
ejpam-6163	160	26	consensus	consensus	NOUN
ejpam-6163	160	27	value	value	NOUN
ejpam-6163	160	28	satisfying	satisfy	VERB
ejpam-6163	160	29	cy∗	cy∗	PROPN
ejpam-6163	160	30	=	=	SYM
ejpam-6163	160	31	b.	b.	PROPN
ejpam-6163	161	1	the	the	DET
ejpam-6163	161	2	scaled	scale	VERB
ejpam-6163	161	3	consensus	consensus	NOUN
ejpam-6163	161	4	is	be	AUX
ejpam-6163	161	5	reached	reach	VERB
ejpam-6163	161	6	in	in	ADP
ejpam-6163	161	7	the	the	DET
ejpam-6163	161	8	sense	sense	NOUN
ejpam-6163	161	9	that	that	SCONJ
ejpam-6163	161	10	lim	lim	PROPN
ejpam-6163	161	11	k→n	k→n	PROPN
ejpam-6163	161	12	βixi(tk	βixi(tk	PROPN
ejpam-6163	161	13	)	)	PUNCT
ejpam-6163	161	14	=	=	SYM
ejpam-6163	161	15	y∗	y∗	ADV
ejpam-6163	161	16	,	,	PUNCT
ejpam-6163	161	17	∀i	∀i	X
ejpam-6163	161	18	∈	∈	NOUN
ejpam-6163	161	19	in	in	ADP
ejpam-6163	161	20	.	.	PUNCT
ejpam-6163	162	1	proof	proof	NOUN
ejpam-6163	162	2	.	.	PUNCT
ejpam-6163	163	1	(	(	PUNCT
ejpam-6163	163	2	sufficiency	sufficiency	NOUN
ejpam-6163	163	3	)	)	PUNCT
ejpam-6163	163	4	to	to	PART
ejpam-6163	163	5	establish	establish	VERB
ejpam-6163	163	6	finite	finite	ADJ
ejpam-6163	163	7	-	-	PUNCT
ejpam-6163	163	8	time	time	NOUN
ejpam-6163	163	9	convergence	convergence	NOUN
ejpam-6163	163	10	to	to	AUX
ejpam-6163	163	11	scaled	scale	VERB
ejpam-6163	163	12	consensus	consensus	NOUN
ejpam-6163	163	13	using	use	VERB
ejpam-6163	163	14	the	the	DET
ejpam-6163	163	15	conjugate	conjugate	ADJ
ejpam-6163	163	16	gradient	gradient	NOUN
ejpam-6163	163	17	method	method	NOUN
ejpam-6163	163	18	(	(	PUNCT
ejpam-6163	163	19	cgm	cgm	PROPN
ejpam-6163	163	20	)	)	PUNCT
ejpam-6163	163	21	,	,	PUNCT
ejpam-6163	163	22	we	we	PRON
ejpam-6163	163	23	begin	begin	VERB
ejpam-6163	163	24	by	by	ADP
ejpam-6163	163	25	expressing	express	VERB
ejpam-6163	163	26	the	the	DET
ejpam-6163	163	27	hybrid	hybrid	ADJ
ejpam-6163	163	28	multi	multi	ADJ
ejpam-6163	163	29	-	-	ADJ
ejpam-6163	163	30	agent	agent	ADJ
ejpam-6163	163	31	system	system	NOUN
ejpam-6163	163	32	(	(	PUNCT
ejpam-6163	163	33	2.1	2.1	NUM
ejpam-6163	163	34	)	)	PUNCT
ejpam-6163	163	35	under	under	ADP
ejpam-6163	163	36	protocol	protocol	NOUN
ejpam-6163	163	37	(	(	PUNCT
ejpam-6163	163	38	3.1	3.1	NUM
ejpam-6163	163	39	)	)	PUNCT
ejpam-6163	163	40	in	in	ADP
ejpam-6163	163	41	a	a	DET
ejpam-6163	163	42	linear	linear	ADJ
ejpam-6163	163	43	-	-	PUNCT
ejpam-6163	163	44	algebraic	algebraic	ADJ
ejpam-6163	163	45	form	form	NOUN
ejpam-6163	163	46	.	.	PUNCT
ejpam-6163	164	1	let	let	VERB
ejpam-6163	164	2	βi	βi	PRON
ejpam-6163	164	3	̸=	̸=	PROPN
ejpam-6163	164	4	0	0	NUM
ejpam-6163	164	5	be	be	AUX
ejpam-6163	164	6	a	a	DET
ejpam-6163	164	7	fixed	fix	VERB
ejpam-6163	164	8	scalar	scalar	ADJ
ejpam-6163	164	9	scale	scale	NOUN
ejpam-6163	164	10	associated	associate	VERB
ejpam-6163	164	11	with	with	ADP
ejpam-6163	164	12	agent	agent	NOUN
ejpam-6163	164	13	i	i	PROPN
ejpam-6163	164	14	,	,	PUNCT
ejpam-6163	164	15	and	and	CCONJ
ejpam-6163	164	16	define	define	VERB
ejpam-6163	164	17	the	the	DET
ejpam-6163	164	18	weighted	weighted	ADJ
ejpam-6163	164	19	state	state	NOUN
ejpam-6163	164	20	variable	variable	NOUN
ejpam-6163	164	21	as	as	ADP
ejpam-6163	164	22	yi(t	yi(t	NOUN
ejpam-6163	164	23	)	)	PUNCT
ejpam-6163	165	1	=	=	SYM
ejpam-6163	165	2	βixi(t	βixi(t	PROPN
ejpam-6163	165	3	)	)	PUNCT
ejpam-6163	165	4	for	for	ADP
ejpam-6163	165	5	all	all	PRON
ejpam-6163	165	6	i	i	PRON
ejpam-6163	165	7	∈	∈	VERB
ejpam-6163	165	8	in	in	ADP
ejpam-6163	165	9	.	.	PUNCT
ejpam-6163	166	1	then	then	ADV
ejpam-6163	166	2	,	,	PUNCT
ejpam-6163	166	3	the	the	DET
ejpam-6163	166	4	hybrid	hybrid	ADJ
ejpam-6163	166	5	protocol	protocol	NOUN
ejpam-6163	166	6	(	(	PUNCT
ejpam-6163	166	7	3.1	3.1	NUM
ejpam-6163	166	8	)	)	PUNCT
ejpam-6163	166	9	yields	yield	VERB
ejpam-6163	166	10	the	the	DET
ejpam-6163	166	11	agent	agent	NOUN
ejpam-6163	166	12	-	-	PUNCT
ejpam-6163	166	13	level	level	NOUN
ejpam-6163	166	14	dynamics	dynamic	NOUN
ejpam-6163	166	15	:	:	PUNCT
ejpam-6163	166	16	{	{	PUNCT
ejpam-6163	166	17	βixi(t	βixi(t	PROPN
ejpam-6163	166	18	)	)	PUNCT
ejpam-6163	166	19	=	=	SYM
ejpam-6163	166	20	βixi(tk	βixi(tk	NOUN
ejpam-6163	166	21	)	)	PUNCT
ejpam-6163	166	22	+	+	CCONJ
ejpam-6163	167	1	(	(	PUNCT
ejpam-6163	167	2	t−	t−	PROPN
ejpam-6163	167	3	tk)|βi|	tk)|βi|	PRON
ejpam-6163	167	4	∑	∑	PUNCT
ejpam-6163	167	5	j∈ni	j∈ni	PROPN
ejpam-6163	167	6	aij	aij	PROPN
ejpam-6163	167	7	[	[	PUNCT
ejpam-6163	167	8	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	167	9	βixi(tk	βixi(tk	NOUN
ejpam-6163	167	10	)	)	PUNCT
ejpam-6163	167	11	]	]	PUNCT
ejpam-6163	167	12	,	,	PUNCT
ejpam-6163	167	13	if	if	SCONJ
ejpam-6163	167	14	i	i	PRON
ejpam-6163	167	15	∈	∈	VERB
ejpam-6163	167	16	i	i	PRON
ejpam-6163	167	17	m	m	VERB
ejpam-6163	167	18	,	,	PUNCT
ejpam-6163	167	19	βixi(tk+1	βixi(tk+1	NOUN
ejpam-6163	167	20	)	)	PUNCT
ejpam-6163	167	21	=	=	SYM
ejpam-6163	167	22	βixi(tk	βixi(tk	NOUN
ejpam-6163	167	23	)	)	PUNCT
ejpam-6163	167	24	+	+	CCONJ
ejpam-6163	167	25	h|βi|	h|βi|	PROPN
ejpam-6163	167	26	∑	∑	PUNCT
ejpam-6163	167	27	j∈ni	j∈ni	PROPN
ejpam-6163	167	28	aij	aij	PROPN
ejpam-6163	167	29	[	[	PUNCT
ejpam-6163	167	30	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	167	31	βixi(tk	βixi(tk	NOUN
ejpam-6163	167	32	)	)	PUNCT
ejpam-6163	167	33	]	]	PUNCT
ejpam-6163	167	34	,	,	PUNCT
ejpam-6163	167	35	if	if	SCONJ
ejpam-6163	167	36	i	i	PRON
ejpam-6163	167	37	∈	∈	VERB
ejpam-6163	167	38	in	in	ADP
ejpam-6163	167	39	\	\	PROPN
ejpam-6163	167	40	i	i	PRON
ejpam-6163	167	41	m	m	PROPN
ejpam-6163	167	42	.	.	PUNCT
ejpam-6163	168	1	(	(	PUNCT
ejpam-6163	168	2	3.2	3.2	NUM
ejpam-6163	168	3	)	)	PUNCT
ejpam-6163	168	4	this	this	PRON
ejpam-6163	168	5	leads	lead	VERB
ejpam-6163	168	6	to	to	ADP
ejpam-6163	168	7	a	a	DET
ejpam-6163	168	8	unified	unified	ADJ
ejpam-6163	168	9	update	update	NOUN
ejpam-6163	168	10	law	law	NOUN
ejpam-6163	168	11	:	:	PUNCT
ejpam-6163	168	12	βixi(tk+1	βixi(tk+1	NOUN
ejpam-6163	168	13	)	)	PUNCT
ejpam-6163	168	14	=	=	SYM
ejpam-6163	168	15	βixi(tk	βixi(tk	NOUN
ejpam-6163	168	16	)	)	PUNCT
ejpam-6163	169	1	+	+	CCONJ
ejpam-6163	169	2	h|βi|	h|βi|	PROPN
ejpam-6163	169	3	∑	∑	PUNCT
ejpam-6163	169	4	j∈ni	j∈ni	PROPN
ejpam-6163	169	5	aij	aij	PROPN
ejpam-6163	169	6	[	[	PUNCT
ejpam-6163	169	7	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	169	8	βixi(tk	βixi(tk	NOUN
ejpam-6163	169	9	)	)	PUNCT
ejpam-6163	169	10	]	]	PUNCT
ejpam-6163	169	11	,	,	PUNCT
ejpam-6163	169	12	∀i	∀i	X
ejpam-6163	169	13	∈	∈	NOUN
ejpam-6163	169	14	in	in	ADP
ejpam-6163	169	15	.	.	PUNCT
ejpam-6163	170	1	(	(	PUNCT
ejpam-6163	170	2	3.3	3.3	NUM
ejpam-6163	170	3	)	)	PUNCT
ejpam-6163	170	4	by	by	ADP
ejpam-6163	170	5	letting	let	VERB
ejpam-6163	170	6	y(tk	y(tk	NOUN
ejpam-6163	170	7	)	)	PUNCT
ejpam-6163	170	8	=	=	SYM
ejpam-6163	170	9	(	(	PUNCT
ejpam-6163	170	10	β1x1(tk	β1x1(tk	PROPN
ejpam-6163	170	11	)	)	PUNCT
ejpam-6163	170	12	,	,	PUNCT
ejpam-6163	170	13	.	.	PUNCT
ejpam-6163	170	14	.	.	PUNCT
ejpam-6163	170	15	.	.	PUNCT
ejpam-6163	171	1	,	,	PUNCT
ejpam-6163	171	2	βnxn	βnxn	NOUN
ejpam-6163	171	3	(	(	PUNCT
ejpam-6163	171	4	tk	tk	PROPN
ejpam-6163	171	5	)	)	PUNCT
ejpam-6163	171	6	)	)	PUNCT
ejpam-6163	171	7	t	t	PROPN
ejpam-6163	171	8	∈	∈	PROPN
ejpam-6163	171	9	rn	rn	PROPN
ejpam-6163	171	10	,	,	PUNCT
ejpam-6163	171	11	and	and	CCONJ
ejpam-6163	171	12	|b|	|b|	PROPN
ejpam-6163	171	13	=	=	PUNCT
ejpam-6163	171	14	diag(|β1|	diag(|β1|	PROPN
ejpam-6163	171	15	,	,	PUNCT
ejpam-6163	171	16	.	.	PUNCT
ejpam-6163	171	17	.	.	PUNCT
ejpam-6163	172	1	.	.	PUNCT
ejpam-6163	173	1	,	,	PUNCT
ejpam-6163	173	2	|βn	|βn	X
ejpam-6163	173	3	|	|	NOUN
ejpam-6163	173	4	)	)	PUNCT
ejpam-6163	173	5	,	,	PUNCT
ejpam-6163	173	6	the	the	DET
ejpam-6163	173	7	collective	collective	ADJ
ejpam-6163	173	8	dynamics	dynamic	NOUN
ejpam-6163	173	9	of	of	ADP
ejpam-6163	173	10	the	the	DET
ejpam-6163	173	11	hybrid	hybrid	ADJ
ejpam-6163	173	12	system	system	NOUN
ejpam-6163	173	13	are	be	AUX
ejpam-6163	173	14	written	write	VERB
ejpam-6163	173	15	compactly	compactly	ADV
ejpam-6163	173	16	as	as	ADP
ejpam-6163	173	17	y(tk+1	y(tk+1	NOUN
ejpam-6163	173	18	)	)	PUNCT
ejpam-6163	173	19	=	=	PUNCT
ejpam-6163	174	1	[	[	X
ejpam-6163	174	2	i	i	NOUN
ejpam-6163	174	3	−h|b|l	−h|b|l	PROPN
ejpam-6163	174	4	]	]	PUNCT
ejpam-6163	174	5	y(tk	y(tk	PROPN
ejpam-6163	174	6	)	)	PUNCT
ejpam-6163	174	7	,	,	PUNCT
ejpam-6163	174	8	where	where	SCONJ
ejpam-6163	174	9	l	l	NOUN
ejpam-6163	174	10	is	be	AUX
ejpam-6163	174	11	the	the	DET
ejpam-6163	174	12	laplacian	laplacian	ADJ
ejpam-6163	174	13	matrix	matrix	NOUN
ejpam-6163	174	14	of	of	ADP
ejpam-6163	174	15	the	the	DET
ejpam-6163	174	16	directed	direct	VERB
ejpam-6163	174	17	graph	graph	NOUN
ejpam-6163	174	18	g	g	NOUN
ejpam-6163	174	19	and	and	CCONJ
ejpam-6163	174	20	h	h	NOUN
ejpam-6163	175	1	=	=	SYM
ejpam-6163	175	2	diag(h1	diag(h1	PROPN
ejpam-6163	175	3	,	,	PUNCT
ejpam-6163	175	4	.	.	PUNCT
ejpam-6163	175	5	.	.	PUNCT
ejpam-6163	175	6	.	.	PUNCT
ejpam-6163	176	1	,	,	PUNCT
ejpam-6163	176	2	hn	hn	PROPN
ejpam-6163	176	3	)	)	PUNCT
ejpam-6163	176	4	denotes	denote	VERB
ejpam-6163	176	5	the	the	DET
ejpam-6163	176	6	step	step	NOUN
ejpam-6163	176	7	-	-	PUNCT
ejpam-6163	176	8	size	size	NOUN
ejpam-6163	176	9	matrix	matrix	NOUN
ejpam-6163	176	10	,	,	PUNCT
ejpam-6163	176	11	with	with	ADP
ejpam-6163	176	12	hi	hi	NOUN
ejpam-6163	177	1	=	=	ADJ
ejpam-6163	177	2	h	h	NOUN
ejpam-6163	177	3	for	for	ADP
ejpam-6163	177	4	discrete	discrete	ADJ
ejpam-6163	177	5	-	-	PUNCT
ejpam-6163	177	6	time	time	NOUN
ejpam-6163	177	7	agents	agent	NOUN
ejpam-6163	177	8	and	and	CCONJ
ejpam-6163	177	9	hi	hi	INTJ
ejpam-6163	177	10	defined	define	VERB
ejpam-6163	177	11	from	from	ADP
ejpam-6163	177	12	continuoustime	continuoustime	ADJ
ejpam-6163	177	13	dynamics	dynamic	NOUN
ejpam-6163	177	14	for	for	ADP
ejpam-6163	177	15	others	other	NOUN
ejpam-6163	177	16	.	.	PUNCT
ejpam-6163	178	1	under	under	ADP
ejpam-6163	178	2	the	the	DET
ejpam-6163	178	3	assumption	assumption	NOUN
ejpam-6163	178	4	that	that	SCONJ
ejpam-6163	178	5	the	the	DET
ejpam-6163	178	6	sampling	sample	VERB
ejpam-6163	178	7	gain	gain	NOUN
ejpam-6163	178	8	satisfies	satisfy	VERB
ejpam-6163	178	9	0	0	PUNCT
ejpam-6163	178	10	<	<	X
ejpam-6163	178	11	h	h	X
ejpam-6163	178	12	<	<	X
ejpam-6163	178	13	1	1	NUM
ejpam-6163	178	14	dmaxβmax	dmaxβmax	NOUN
ejpam-6163	178	15	,	,	PUNCT
ejpam-6163	178	16	and	and	CCONJ
ejpam-6163	178	17	that	that	SCONJ
ejpam-6163	178	18	g	g	PROPN
ejpam-6163	178	19	contains	contain	VERB
ejpam-6163	178	20	a	a	DET
ejpam-6163	178	21	directed	directed	ADJ
ejpam-6163	178	22	spanning	span	VERB
ejpam-6163	178	23	tree	tree	NOUN
ejpam-6163	178	24	,	,	PUNCT
ejpam-6163	178	25	we	we	PRON
ejpam-6163	178	26	invoke	invoke	VERB
ejpam-6163	178	27	lemma	lemma	PROPN
ejpam-6163	178	28	3	3	NUM
ejpam-6163	178	29	which	which	PRON
ejpam-6163	178	30	guarantees	guarantee	VERB
ejpam-6163	178	31	that	that	SCONJ
ejpam-6163	178	32	the	the	DET
ejpam-6163	178	33	hybrid	hybrid	ADJ
ejpam-6163	178	34	system	system	NOUN
ejpam-6163	178	35	under	under	ADP
ejpam-6163	178	36	protocol	protocol	NOUN
ejpam-6163	178	37	(	(	PUNCT
ejpam-6163	178	38	3.1	3.1	NUM
ejpam-6163	178	39	)	)	PUNCT
ejpam-6163	178	40	achieves	achieve	VERB
ejpam-6163	178	41	asymptotic	asymptotic	ADJ
ejpam-6163	178	42	scaled	scale	VERB
ejpam-6163	178	43	consensus	consensus	NOUN
ejpam-6163	178	44	,	,	PUNCT
ejpam-6163	178	45	i.e.	i.e.	X
ejpam-6163	178	46	,	,	PUNCT
ejpam-6163	178	47	lim	lim	PROPN
ejpam-6163	178	48	k→∞	k→∞	PROPN
ejpam-6163	178	49	y(k	y(k	PROPN
ejpam-6163	178	50	)	)	PUNCT
ejpam-6163	178	51	=	=	VERB
ejpam-6163	179	1	y∗	y∗	PROPN
ejpam-6163	179	2	·	·	PUNCT
ejpam-6163	179	3	1	1	NUM
ejpam-6163	179	4	,	,	PUNCT
ejpam-6163	179	5	m.	m.	NOUN
ejpam-6163	179	6	donganont	donganont	PROPN
ejpam-6163	179	7	,	,	PUNCT
ejpam-6163	179	8	s.	s.	PROPN
ejpam-6163	179	9	intawichai	intawichai	PROPN
ejpam-6163	179	10	,	,	PUNCT
ejpam-6163	179	11	s.	s.	PROPN
ejpam-6163	179	12	phongchan	phongchan	PROPN
ejpam-6163	179	13	/	/	SYM
ejpam-6163	179	14	eur	eur	PROPN
ejpam-6163	179	15	.	.	PUNCT
ejpam-6163	180	1	j.	j.	PROPN
ejpam-6163	180	2	pure	pure	PROPN
ejpam-6163	180	3	appl	appl	PROPN
ejpam-6163	180	4	.	.	PROPN
ejpam-6163	180	5	math	math	PROPN
ejpam-6163	180	6	,	,	PUNCT
ejpam-6163	180	7	18	18	NUM
ejpam-6163	180	8	(	(	PUNCT
ejpam-6163	180	9	2	2	NUM
ejpam-6163	180	10	)	)	PUNCT
ejpam-6163	180	11	(	(	PUNCT
ejpam-6163	180	12	2025	2025	NUM
ejpam-6163	180	13	)	)	PUNCT
ejpam-6163	180	14	,	,	PUNCT
ejpam-6163	180	15	6163	6163	NUM
ejpam-6163	180	16	8	8	NUM
ejpam-6163	180	17	of	of	ADP
ejpam-6163	180	18	20	20	NUM
ejpam-6163	180	19	for	for	ADP
ejpam-6163	180	20	some	some	DET
ejpam-6163	180	21	y∗	y∗	PROPN
ejpam-6163	180	22	∈	∈	PROPN
ejpam-6163	180	23	r.	r.	NOUN
ejpam-6163	180	24	furthermore	furthermore	ADV
ejpam-6163	180	25	,	,	PUNCT
ejpam-6163	180	26	this	this	PRON
ejpam-6163	180	27	implies	imply	VERB
ejpam-6163	180	28	h|b|ly∗	h|b|ly∗	NOUN
ejpam-6163	180	29	=	=	SYM
ejpam-6163	180	30	0	0	X
ejpam-6163	180	31	.	.	PUNCT
ejpam-6163	180	32	to	to	PART
ejpam-6163	180	33	enforce	enforce	VERB
ejpam-6163	180	34	finite	finite	ADJ
ejpam-6163	180	35	-	-	PUNCT
ejpam-6163	180	36	time	time	NOUN
ejpam-6163	180	37	convergence	convergence	NOUN
ejpam-6163	180	38	,	,	PUNCT
ejpam-6163	180	39	we	we	PRON
ejpam-6163	180	40	reformulate	reformulate	VERB
ejpam-6163	180	41	the	the	DET
ejpam-6163	180	42	asymptotic	asymptotic	ADJ
ejpam-6163	180	43	relation	relation	NOUN
ejpam-6163	180	44	into	into	ADP
ejpam-6163	180	45	the	the	DET
ejpam-6163	180	46	linear	linear	ADJ
ejpam-6163	180	47	system	system	NOUN
ejpam-6163	180	48	:	:	PUNCT
ejpam-6163	181	1	cy∗	cy∗	PROPN
ejpam-6163	181	2	=	=	SYM
ejpam-6163	181	3	b	b	PROPN
ejpam-6163	181	4	,	,	PUNCT
ejpam-6163	181	5	with	with	ADP
ejpam-6163	181	6	c	c	NOUN
ejpam-6163	181	7	=	=	SYM
ejpam-6163	181	8	ρi	ρi	PROPN
ejpam-6163	182	1	+	+	NOUN
ejpam-6163	182	2	h|b|l	h|b|l	PROPN
ejpam-6163	182	3	,	,	PUNCT
ejpam-6163	182	4	b	b	NOUN
ejpam-6163	182	5	=	=	PUNCT
ejpam-6163	182	6	ρy∗	ρy∗	PROPN
ejpam-6163	182	7	,	,	PUNCT
ejpam-6163	182	8	0	0	PUNCT
ejpam-6163	182	9	<	<	X
ejpam-6163	182	10	ρ	ρ	X
ejpam-6163	182	11	<	<	X
ejpam-6163	182	12	1	1	NUM
ejpam-6163	182	13	.	.	PUNCT
ejpam-6163	183	1	here	here	ADV
ejpam-6163	183	2	,	,	PUNCT
ejpam-6163	183	3	c	c	PROPN
ejpam-6163	183	4	is	be	AUX
ejpam-6163	183	5	symmetric	symmetric	ADJ
ejpam-6163	183	6	and	and	CCONJ
ejpam-6163	183	7	positive	positive	ADJ
ejpam-6163	183	8	definite	definite	ADJ
ejpam-6163	183	9	by	by	ADP
ejpam-6163	183	10	construction	construction	NOUN
ejpam-6163	183	11	l	l	NOUN
ejpam-6163	183	12	is	be	AUX
ejpam-6163	183	13	positive	positive	ADJ
ejpam-6163	183	14	semi	semi	ADJ
ejpam-6163	183	15	-	-	ADJ
ejpam-6163	183	16	definite	definite	ADJ
ejpam-6163	183	17	,	,	PUNCT
ejpam-6163	183	18	|b|	|b|	PROPN
ejpam-6163	183	19	and	and	CCONJ
ejpam-6163	183	20	h	h	NOUN
ejpam-6163	183	21	are	be	AUX
ejpam-6163	183	22	positive	positive	ADJ
ejpam-6163	183	23	diagonal	diagonal	ADJ
ejpam-6163	183	24	matrices	matrix	NOUN
ejpam-6163	183	25	,	,	PUNCT
ejpam-6163	183	26	and	and	CCONJ
ejpam-6163	183	27	ρ	ρ	PROPN
ejpam-6163	183	28	>	>	SYM
ejpam-6163	183	29	0	0	PUNCT
ejpam-6163	183	30	ensures	ensure	VERB
ejpam-6163	183	31	strict	strict	ADJ
ejpam-6163	183	32	definiteness	definiteness	NOUN
ejpam-6163	183	33	.	.	PUNCT
ejpam-6163	184	1	applying	apply	VERB
ejpam-6163	184	2	the	the	DET
ejpam-6163	184	3	conjugate	conjugate	ADJ
ejpam-6163	184	4	gradient	gradient	NOUN
ejpam-6163	184	5	method	method	NOUN
ejpam-6163	184	6	(	(	PUNCT
ejpam-6163	184	7	cgm	cgm	PROPN
ejpam-6163	184	8	)	)	PUNCT
ejpam-6163	184	9	to	to	PART
ejpam-6163	184	10	solve	solve	VERB
ejpam-6163	184	11	this	this	DET
ejpam-6163	184	12	system	system	NOUN
ejpam-6163	184	13	,	,	PUNCT
ejpam-6163	184	14	we	we	PRON
ejpam-6163	184	15	use	use	VERB
ejpam-6163	184	16	the	the	DET
ejpam-6163	184	17	iterative	iterative	NOUN
ejpam-6163	184	18	scheme	scheme	NOUN
ejpam-6163	184	19	:	:	PUNCT
ejpam-6163	184	20	y(k	y(k	NOUN
ejpam-6163	184	21	)	)	PUNCT
ejpam-6163	185	1	=	=	SYM
ejpam-6163	185	2	y(k	y(k	PROPN
ejpam-6163	185	3	−	−	PROPN
ejpam-6163	185	4	1	1	NUM
ejpam-6163	185	5	)	)	PUNCT
ejpam-6163	185	6	+	+	CCONJ
ejpam-6163	185	7	tkpk	tkpk	ADJ
ejpam-6163	185	8	,	,	PUNCT
ejpam-6163	185	9	tk	tk	NOUN
ejpam-6163	185	10	=	=	SYM
ejpam-6163	185	11	(	(	PUNCT
ejpam-6163	185	12	rk−1	rk−1	PROPN
ejpam-6163	185	13	,	,	PUNCT
ejpam-6163	185	14	pk	pk	NOUN
ejpam-6163	185	15	)	)	PUNCT
ejpam-6163	185	16	(	(	PUNCT
ejpam-6163	185	17	cpk	cpk	PROPN
ejpam-6163	185	18	,	,	PUNCT
ejpam-6163	185	19	pk	pk	NOUN
ejpam-6163	185	20	)	)	PUNCT
ejpam-6163	185	21	,	,	PUNCT
ejpam-6163	185	22	where	where	SCONJ
ejpam-6163	185	23	rk−1	rk−1	ADJ
ejpam-6163	185	24	=	=	SYM
ejpam-6163	185	25	b−	b−	PROPN
ejpam-6163	185	26	cy(k	cy(k	NOUN
ejpam-6163	185	27	−	−	PROPN
ejpam-6163	185	28	1	1	NUM
ejpam-6163	185	29	)	)	PUNCT
ejpam-6163	185	30	is	be	AUX
ejpam-6163	185	31	the	the	DET
ejpam-6163	185	32	residual	residual	ADJ
ejpam-6163	185	33	,	,	PUNCT
ejpam-6163	185	34	and	and	CCONJ
ejpam-6163	185	35	the	the	DET
ejpam-6163	185	36	conjugate	conjugate	ADJ
ejpam-6163	185	37	directions	direction	NOUN
ejpam-6163	185	38	are	be	AUX
ejpam-6163	185	39	updated	update	VERB
ejpam-6163	185	40	via	via	ADP
ejpam-6163	185	41	pk	pk	NOUN
ejpam-6163	185	42	=	=	PUNCT
ejpam-6163	185	43	rk	rk	NOUN
ejpam-6163	185	44	+	+	CCONJ
ejpam-6163	185	45	βkpk−1	βkpk−1	ADJ
ejpam-6163	185	46	,	,	PUNCT
ejpam-6163	185	47	βk	βk	ADP
ejpam-6163	185	48	=	=	PUNCT
ejpam-6163	185	49	(	(	PUNCT
ejpam-6163	185	50	rk	rk	NOUN
ejpam-6163	185	51	,	,	PUNCT
ejpam-6163	185	52	rk	rk	NOUN
ejpam-6163	185	53	)	)	PUNCT
ejpam-6163	185	54	(	(	PUNCT
ejpam-6163	185	55	rk−1	rk−1	PROPN
ejpam-6163	185	56	,	,	PUNCT
ejpam-6163	185	57	rk−1	rk−1	NOUN
ejpam-6163	185	58	)	)	PUNCT
ejpam-6163	185	59	.	.	PUNCT
ejpam-6163	186	1	since	since	SCONJ
ejpam-6163	186	2	c	c	PROPN
ejpam-6163	186	3	is	be	AUX
ejpam-6163	186	4	hermitian	hermitian	ADJ
ejpam-6163	186	5	positive	positive	ADJ
ejpam-6163	186	6	definite	definite	ADJ
ejpam-6163	186	7	,	,	PUNCT
ejpam-6163	186	8	we	we	PRON
ejpam-6163	186	9	invoke	invoke	VERB
ejpam-6163	186	10	lemma	lemma	PROPN
ejpam-6163	186	11	1	1	NUM
ejpam-6163	186	12	,	,	PUNCT
ejpam-6163	186	13	which	which	PRON
ejpam-6163	186	14	guarantees	guarantee	VERB
ejpam-6163	186	15	that	that	SCONJ
ejpam-6163	186	16	cgm	cgm	PROPN
ejpam-6163	186	17	will	will	AUX
ejpam-6163	186	18	reach	reach	VERB
ejpam-6163	186	19	the	the	DET
ejpam-6163	186	20	exact	exact	ADJ
ejpam-6163	186	21	solution	solution	NOUN
ejpam-6163	186	22	y∗	y∗	ADV
ejpam-6163	186	23	within	within	ADP
ejpam-6163	186	24	at	at	ADP
ejpam-6163	186	25	most	most	ADJ
ejpam-6163	186	26	n	n	PRON
ejpam-6163	186	27	steps	step	NOUN
ejpam-6163	186	28	,	,	PUNCT
ejpam-6163	186	29	where	where	SCONJ
ejpam-6163	186	30	n	n	PRON
ejpam-6163	186	31	is	be	AUX
ejpam-6163	186	32	the	the	DET
ejpam-6163	186	33	dimension	dimension	NOUN
ejpam-6163	186	34	of	of	ADP
ejpam-6163	186	35	the	the	DET
ejpam-6163	186	36	system	system	NOUN
ejpam-6163	186	37	.	.	PUNCT
ejpam-6163	187	1	hence	hence	ADV
ejpam-6163	187	2	,	,	PUNCT
ejpam-6163	187	3	the	the	DET
ejpam-6163	187	4	hybrid	hybrid	ADJ
ejpam-6163	187	5	multi	multi	ADJ
ejpam-6163	187	6	-	-	ADJ
ejpam-6163	187	7	agent	agent	ADJ
ejpam-6163	187	8	system	system	NOUN
ejpam-6163	187	9	(	(	PUNCT
ejpam-6163	187	10	2.1	2.1	NUM
ejpam-6163	187	11	)	)	PUNCT
ejpam-6163	187	12	achieves	achieve	VERB
ejpam-6163	187	13	finite	finite	ADJ
ejpam-6163	187	14	-	-	PUNCT
ejpam-6163	187	15	time	time	NOUN
ejpam-6163	187	16	scaled	scaled	ADJ
ejpam-6163	187	17	consensus	consensus	NOUN
ejpam-6163	187	18	under	under	ADP
ejpam-6163	187	19	protocol	protocol	NOUN
ejpam-6163	187	20	(	(	PUNCT
ejpam-6163	187	21	3.1	3.1	NUM
ejpam-6163	187	22	)	)	PUNCT
ejpam-6163	187	23	in	in	ADP
ejpam-6163	187	24	exactly	exactly	ADV
ejpam-6163	187	25	n	n	NUM
ejpam-6163	187	26	discrete	discrete	ADJ
ejpam-6163	187	27	iterations	iteration	NOUN
ejpam-6163	187	28	.	.	PUNCT
ejpam-6163	188	1	(	(	PUNCT
ejpam-6163	188	2	necessity	necessity	NOUN
ejpam-6163	188	3	)	)	PUNCT
ejpam-6163	188	4	suppose	suppose	VERB
ejpam-6163	188	5	now	now	ADV
ejpam-6163	188	6	that	that	SCONJ
ejpam-6163	188	7	the	the	DET
ejpam-6163	188	8	communication	communication	NOUN
ejpam-6163	188	9	graph	graph	NOUN
ejpam-6163	188	10	g	g	NOUN
ejpam-6163	188	11	does	do	AUX
ejpam-6163	188	12	not	not	PART
ejpam-6163	188	13	contain	contain	VERB
ejpam-6163	188	14	a	a	DET
ejpam-6163	188	15	directed	directed	ADJ
ejpam-6163	188	16	spanning	span	VERB
ejpam-6163	188	17	tree	tree	NOUN
ejpam-6163	188	18	.	.	PUNCT
ejpam-6163	189	1	then	then	ADV
ejpam-6163	189	2	the	the	DET
ejpam-6163	189	3	laplacian	laplacian	ADJ
ejpam-6163	189	4	matrix	matrix	NOUN
ejpam-6163	189	5	l	l	NOUN
ejpam-6163	189	6	has	have	VERB
ejpam-6163	189	7	multiple	multiple	ADJ
ejpam-6163	189	8	zero	zero	NUM
ejpam-6163	189	9	eigenvalues	eigenvalue	NOUN
ejpam-6163	189	10	,	,	PUNCT
ejpam-6163	189	11	and	and	CCONJ
ejpam-6163	189	12	the	the	DET
ejpam-6163	189	13	matrix	matrix	NOUN
ejpam-6163	189	14	i	i	PRON
ejpam-6163	189	15	−h|b|l	−h|b|l	PROPN
ejpam-6163	189	16	does	do	AUX
ejpam-6163	189	17	not	not	PART
ejpam-6163	189	18	converge	converge	VERB
ejpam-6163	189	19	to	to	ADP
ejpam-6163	189	20	a	a	DET
ejpam-6163	189	21	rank	rank	NOUN
ejpam-6163	189	22	-	-	PUNCT
ejpam-6163	189	23	one	one	NUM
ejpam-6163	189	24	projection	projection	NOUN
ejpam-6163	189	25	matrix	matrix	NOUN
ejpam-6163	189	26	.	.	PUNCT
ejpam-6163	190	1	remark	remark	NOUN
ejpam-6163	190	2	2	2	NUM
ejpam-6163	190	3	(	(	PUNCT
ejpam-6163	190	4	practical	practical	ADJ
ejpam-6163	190	5	realizability	realizability	NOUN
ejpam-6163	190	6	of	of	ADP
ejpam-6163	190	7	spd	spd	NOUN
ejpam-6163	190	8	assumption	assumption	NOUN
ejpam-6163	190	9	)	)	PUNCT
ejpam-6163	190	10	.	.	PUNCT
ejpam-6163	191	1	the	the	DET
ejpam-6163	191	2	convergence	convergence	NOUN
ejpam-6163	191	3	of	of	ADP
ejpam-6163	191	4	the	the	DET
ejpam-6163	191	5	conjugate	conjugate	ADJ
ejpam-6163	191	6	gradient	gradient	NOUN
ejpam-6163	191	7	method	method	NOUN
ejpam-6163	191	8	(	(	PUNCT
ejpam-6163	191	9	cgm	cgm	PROPN
ejpam-6163	191	10	)	)	PUNCT
ejpam-6163	191	11	in	in	ADP
ejpam-6163	191	12	at	at	ADP
ejpam-6163	191	13	most	most	ADJ
ejpam-6163	191	14	n	n	PRON
ejpam-6163	191	15	steps	step	NOUN
ejpam-6163	191	16	fundamentally	fundamentally	ADV
ejpam-6163	191	17	depends	depend	VERB
ejpam-6163	191	18	on	on	ADP
ejpam-6163	191	19	the	the	DET
ejpam-6163	191	20	symmetric	symmetric	ADJ
ejpam-6163	191	21	positive	positive	ADJ
ejpam-6163	191	22	definiteness	definiteness	NOUN
ejpam-6163	191	23	(	(	PUNCT
ejpam-6163	191	24	spd	spd	NOUN
ejpam-6163	191	25	)	)	PUNCT
ejpam-6163	191	26	of	of	ADP
ejpam-6163	191	27	the	the	DET
ejpam-6163	191	28	matrix	matrix	NOUN
ejpam-6163	191	29	c	c	PUNCT
ejpam-6163	192	1	=	=	SYM
ejpam-6163	192	2	ρi	ρi	PROPN
ejpam-6163	192	3	+	+	NOUN
ejpam-6163	192	4	h|b|l	h|b|l	PROPN
ejpam-6163	192	5	.	.	PUNCT
ejpam-6163	193	1	this	this	DET
ejpam-6163	193	2	condition	condition	NOUN
ejpam-6163	193	3	is	be	AUX
ejpam-6163	193	4	satisfied	satisfied	ADJ
ejpam-6163	193	5	in	in	ADP
ejpam-6163	193	6	our	our	PRON
ejpam-6163	193	7	setup	setup	NOUN
ejpam-6163	193	8	by	by	ADP
ejpam-6163	193	9	design	design	NOUN
ejpam-6163	193	10	,	,	PUNCT
ejpam-6163	193	11	given	give	VERB
ejpam-6163	193	12	that	that	SCONJ
ejpam-6163	193	13	:	:	PUNCT
ejpam-6163	193	14	•	•	NUM
ejpam-6163	193	15	h	h	NOUN
ejpam-6163	193	16	and	and	CCONJ
ejpam-6163	193	17	|b|	|b|	PROPN
ejpam-6163	193	18	are	be	AUX
ejpam-6163	193	19	positive	positive	ADJ
ejpam-6163	193	20	diagonal	diagonal	ADJ
ejpam-6163	193	21	matrices	matrix	NOUN
ejpam-6163	193	22	,	,	PUNCT
ejpam-6163	193	23	•	•	NUM
ejpam-6163	193	24	l	l	NOUN
ejpam-6163	193	25	is	be	AUX
ejpam-6163	193	26	the	the	DET
ejpam-6163	193	27	graph	graph	NOUN
ejpam-6163	193	28	laplacian	laplacian	NOUN
ejpam-6163	193	29	of	of	ADP
ejpam-6163	193	30	a	a	DET
ejpam-6163	193	31	directed	direct	VERB
ejpam-6163	193	32	network	network	NOUN
ejpam-6163	193	33	with	with	ADP
ejpam-6163	193	34	a	a	DET
ejpam-6163	193	35	spanning	span	VERB
ejpam-6163	193	36	tree	tree	NOUN
ejpam-6163	193	37	(	(	PUNCT
ejpam-6163	193	38	ensuring	ensure	VERB
ejpam-6163	193	39	semidefiniteness	semidefiniteness	NOUN
ejpam-6163	193	40	)	)	PUNCT
ejpam-6163	193	41	,	,	PUNCT
ejpam-6163	193	42	•	•	NOUN
ejpam-6163	193	43	and	and	CCONJ
ejpam-6163	193	44	ρ	ρ	NOUN
ejpam-6163	193	45	>	>	SYM
ejpam-6163	193	46	0	0	NUM
ejpam-6163	193	47	ensures	ensure	VERB
ejpam-6163	193	48	strict	strict	ADJ
ejpam-6163	193	49	positive	positive	ADJ
ejpam-6163	193	50	definiteness	definiteness	NOUN
ejpam-6163	193	51	.	.	PUNCT
ejpam-6163	194	1	however	however	ADV
ejpam-6163	194	2	,	,	PUNCT
ejpam-6163	194	3	in	in	ADP
ejpam-6163	194	4	practical	practical	ADJ
ejpam-6163	194	5	implementations	implementation	NOUN
ejpam-6163	194	6	,	,	PUNCT
ejpam-6163	194	7	especially	especially	ADV
ejpam-6163	194	8	in	in	ADP
ejpam-6163	194	9	large	large	ADJ
ejpam-6163	194	10	-	-	PUNCT
ejpam-6163	194	11	scale	scale	NOUN
ejpam-6163	194	12	or	or	CCONJ
ejpam-6163	194	13	uncertain	uncertain	ADJ
ejpam-6163	194	14	environments	environment	NOUN
ejpam-6163	194	15	,	,	PUNCT
ejpam-6163	194	16	exact	exact	ADJ
ejpam-6163	194	17	symmetry	symmetry	NOUN
ejpam-6163	194	18	or	or	CCONJ
ejpam-6163	194	19	definiteness	definiteness	NOUN
ejpam-6163	194	20	may	may	AUX
ejpam-6163	194	21	be	be	AUX
ejpam-6163	194	22	compromised	compromise	VERB
ejpam-6163	194	23	due	due	ADP
ejpam-6163	194	24	to	to	ADP
ejpam-6163	194	25	quantization	quantization	NOUN
ejpam-6163	194	26	effects	effect	NOUN
ejpam-6163	194	27	,	,	PUNCT
ejpam-6163	194	28	communication	communication	NOUN
ejpam-6163	194	29	delays	delay	NOUN
ejpam-6163	194	30	,	,	PUNCT
ejpam-6163	194	31	or	or	CCONJ
ejpam-6163	194	32	model	model	NOUN
ejpam-6163	194	33	perturbations	perturbation	NOUN
ejpam-6163	194	34	.	.	PUNCT
ejpam-6163	195	1	in	in	ADP
ejpam-6163	195	2	such	such	ADJ
ejpam-6163	195	3	scenarios	scenario	NOUN
ejpam-6163	195	4	,	,	PUNCT
ejpam-6163	195	5	the	the	DET
ejpam-6163	195	6	matrix	matrix	NOUN
ejpam-6163	195	7	c	c	NOUN
ejpam-6163	195	8	may	may	AUX
ejpam-6163	195	9	lose	lose	VERB
ejpam-6163	195	10	the	the	DET
ejpam-6163	195	11	spd	spd	NOUN
ejpam-6163	195	12	property	property	NOUN
ejpam-6163	195	13	,	,	PUNCT
ejpam-6163	195	14	potentially	potentially	ADV
ejpam-6163	195	15	affecting	affect	VERB
ejpam-6163	195	16	the	the	DET
ejpam-6163	195	17	theoretical	theoretical	ADJ
ejpam-6163	195	18	guarantees	guarantee	NOUN
ejpam-6163	195	19	of	of	ADP
ejpam-6163	195	20	cgm	cgm	PROPN
ejpam-6163	195	21	.	.	PUNCT
ejpam-6163	195	22	m.	m.	PROPN
ejpam-6163	195	23	donganont	donganont	PROPN
ejpam-6163	195	24	,	,	PUNCT
ejpam-6163	195	25	s.	s.	PROPN
ejpam-6163	195	26	intawichai	intawichai	PROPN
ejpam-6163	195	27	,	,	PUNCT
ejpam-6163	195	28	s.	s.	PROPN
ejpam-6163	195	29	phongchan	phongchan	PROPN
ejpam-6163	195	30	/	/	SYM
ejpam-6163	195	31	eur	eur	PROPN
ejpam-6163	195	32	.	.	PUNCT
ejpam-6163	196	1	j.	j.	PROPN
ejpam-6163	196	2	pure	pure	PROPN
ejpam-6163	196	3	appl	appl	PROPN
ejpam-6163	196	4	.	.	PROPN
ejpam-6163	196	5	math	math	PROPN
ejpam-6163	196	6	,	,	PUNCT
ejpam-6163	196	7	18	18	NUM
ejpam-6163	196	8	(	(	PUNCT
ejpam-6163	196	9	2	2	NUM
ejpam-6163	196	10	)	)	PUNCT
ejpam-6163	196	11	(	(	PUNCT
ejpam-6163	196	12	2025	2025	NUM
ejpam-6163	196	13	)	)	PUNCT
ejpam-6163	196	14	,	,	PUNCT
ejpam-6163	196	15	6163	6163	NUM
ejpam-6163	196	16	9	9	NUM
ejpam-6163	196	17	of	of	ADP
ejpam-6163	196	18	20	20	NUM
ejpam-6163	196	19	to	to	PART
ejpam-6163	196	20	mitigate	mitigate	VERB
ejpam-6163	196	21	this	this	PRON
ejpam-6163	196	22	,	,	PUNCT
ejpam-6163	196	23	the	the	DET
ejpam-6163	196	24	scalar	scalar	ADJ
ejpam-6163	196	25	ρ	ρ	PROPN
ejpam-6163	196	26	can	can	AUX
ejpam-6163	196	27	serve	serve	VERB
ejpam-6163	196	28	as	as	ADP
ejpam-6163	196	29	a	a	DET
ejpam-6163	196	30	tunable	tunable	ADJ
ejpam-6163	196	31	regularization	regularization	NOUN
ejpam-6163	196	32	parameter	parameter	NOUN
ejpam-6163	196	33	to	to	PART
ejpam-6163	196	34	enforce	enforce	VERB
ejpam-6163	196	35	the	the	DET
ejpam-6163	196	36	positive	positive	ADJ
ejpam-6163	196	37	definiteness	definiteness	NOUN
ejpam-6163	196	38	of	of	ADP
ejpam-6163	196	39	c	c	PROPN
ejpam-6163	196	40	even	even	ADV
ejpam-6163	196	41	under	under	ADP
ejpam-6163	196	42	perturbations	perturbation	NOUN
ejpam-6163	196	43	.	.	PUNCT
ejpam-6163	197	1	moreover	moreover	ADV
ejpam-6163	197	2	,	,	PUNCT
ejpam-6163	197	3	in	in	ADP
ejpam-6163	197	4	cases	case	NOUN
ejpam-6163	197	5	where	where	SCONJ
ejpam-6163	197	6	c	c	NOUN
ejpam-6163	197	7	becomes	become	VERB
ejpam-6163	197	8	non	non	ADJ
ejpam-6163	197	9	-	-	ADJ
ejpam-6163	197	10	spd	spd	ADJ
ejpam-6163	197	11	or	or	CCONJ
ejpam-6163	197	12	indefinite	indefinite	ADJ
ejpam-6163	197	13	,	,	PUNCT
ejpam-6163	197	14	alternative	alternative	ADJ
ejpam-6163	197	15	krylov	krylov	NOUN
ejpam-6163	197	16	subspace	subspace	NOUN
ejpam-6163	197	17	methods	method	NOUN
ejpam-6163	197	18	such	such	ADJ
ejpam-6163	197	19	as	as	ADP
ejpam-6163	197	20	gmres	gmre	NOUN
ejpam-6163	197	21	(	(	PUNCT
ejpam-6163	197	22	generalized	generalize	VERB
ejpam-6163	197	23	minimal	minimal	ADJ
ejpam-6163	197	24	residual	residual	ADJ
ejpam-6163	197	25	)	)	PUNCT
ejpam-6163	197	26	or	or	CCONJ
ejpam-6163	197	27	bicg	bicg	NOUN
ejpam-6163	197	28	(	(	PUNCT
ejpam-6163	197	29	biconjugate	biconjugate	ADJ
ejpam-6163	197	30	gradient	gradient	NOUN
ejpam-6163	197	31	)	)	PUNCT
ejpam-6163	197	32	may	may	AUX
ejpam-6163	197	33	be	be	AUX
ejpam-6163	197	34	employed	employ	VERB
ejpam-6163	197	35	,	,	PUNCT
ejpam-6163	197	36	though	though	SCONJ
ejpam-6163	197	37	they	they	PRON
ejpam-6163	197	38	lack	lack	VERB
ejpam-6163	197	39	the	the	DET
ejpam-6163	197	40	finite	finite	ADJ
ejpam-6163	197	41	-	-	ADJ
ejpam-6163	197	42	step	step	NOUN
ejpam-6163	197	43	convergence	convergence	NOUN
ejpam-6163	197	44	guarantee	guarantee	NOUN
ejpam-6163	197	45	of	of	ADP
ejpam-6163	197	46	cgm	cgm	PROPN
ejpam-6163	197	47	.	.	PUNCT
ejpam-6163	198	1	future	future	ADJ
ejpam-6163	198	2	research	research	NOUN
ejpam-6163	198	3	may	may	AUX
ejpam-6163	198	4	extend	extend	VERB
ejpam-6163	198	5	this	this	DET
ejpam-6163	198	6	framework	framework	NOUN
ejpam-6163	198	7	to	to	PART
ejpam-6163	198	8	explicitly	explicitly	ADV
ejpam-6163	198	9	address	address	VERB
ejpam-6163	198	10	these	these	DET
ejpam-6163	198	11	non	non	NOUN
ejpam-6163	198	12	-	-	NOUN
ejpam-6163	198	13	idealities	ideality	NOUN
ejpam-6163	198	14	,	,	PUNCT
ejpam-6163	198	15	including	include	VERB
ejpam-6163	198	16	the	the	DET
ejpam-6163	198	17	design	design	NOUN
ejpam-6163	198	18	of	of	ADP
ejpam-6163	198	19	preconditioned	preconditioned	ADJ
ejpam-6163	198	20	variants	variant	NOUN
ejpam-6163	198	21	of	of	ADP
ejpam-6163	198	22	cgm	cgm	PROPN
ejpam-6163	198	23	and	and	CCONJ
ejpam-6163	198	24	analysis	analysis	NOUN
ejpam-6163	198	25	of	of	ADP
ejpam-6163	198	26	convergence	convergence	NOUN
ejpam-6163	198	27	under	under	ADP
ejpam-6163	198	28	weaker	weak	ADJ
ejpam-6163	198	29	assumptions	assumption	NOUN
ejpam-6163	198	30	.	.	PUNCT
ejpam-6163	199	1	this	this	DET
ejpam-6163	199	2	extension	extension	NOUN
ejpam-6163	199	3	is	be	AUX
ejpam-6163	199	4	particularly	particularly	ADV
ejpam-6163	199	5	relevant	relevant	ADJ
ejpam-6163	199	6	for	for	ADP
ejpam-6163	199	7	real	real	ADJ
ejpam-6163	199	8	-	-	PUNCT
ejpam-6163	199	9	world	world	NOUN
ejpam-6163	199	10	systems	system	NOUN
ejpam-6163	199	11	where	where	SCONJ
ejpam-6163	199	12	distributed	distribute	VERB
ejpam-6163	199	13	computation	computation	NOUN
ejpam-6163	199	14	,	,	PUNCT
ejpam-6163	199	15	communication	communication	NOUN
ejpam-6163	199	16	noise	noise	NOUN
ejpam-6163	199	17	,	,	PUNCT
ejpam-6163	199	18	or	or	CCONJ
ejpam-6163	199	19	non	non	ADJ
ejpam-6163	199	20	-	-	ADJ
ejpam-6163	199	21	convex	convex	ADJ
ejpam-6163	199	22	agent	agent	NOUN
ejpam-6163	199	23	interactions	interaction	NOUN
ejpam-6163	199	24	are	be	AUX
ejpam-6163	199	25	present	present	ADJ
ejpam-6163	199	26	.	.	PUNCT
ejpam-6163	200	1	corollary	corollary	ADJ
ejpam-6163	200	2	1	1	NUM
ejpam-6163	200	3	.	.	PUNCT
ejpam-6163	201	1	let	let	VERB
ejpam-6163	201	2	g	g	PRON
ejpam-6163	201	3	be	be	AUX
ejpam-6163	201	4	a	a	DET
ejpam-6163	201	5	connected	connect	VERB
ejpam-6163	201	6	directed	direct	VERB
ejpam-6163	201	7	communication	communication	NOUN
ejpam-6163	201	8	network	network	NOUN
ejpam-6163	201	9	of	of	ADP
ejpam-6163	201	10	the	the	DET
ejpam-6163	201	11	hybrid	hybrid	ADJ
ejpam-6163	201	12	multiagent	multiagent	NOUN
ejpam-6163	201	13	system	system	NOUN
ejpam-6163	201	14	(	(	PUNCT
ejpam-6163	201	15	2.1	2.1	NUM
ejpam-6163	201	16	)	)	PUNCT
ejpam-6163	201	17	with	with	ADP
ejpam-6163	201	18	βi	βi	PROPN
ejpam-6163	201	19	=	=	SYM
ejpam-6163	201	20	1	1	NUM
ejpam-6163	201	21	for	for	ADP
ejpam-6163	201	22	all	all	PRON
ejpam-6163	201	23	i	i	PRON
ejpam-6163	201	24	∈	∈	VERB
ejpam-6163	201	25	in	in	ADP
ejpam-6163	201	26	.	.	PUNCT
ejpam-6163	202	1	then	then	ADV
ejpam-6163	202	2	,	,	PUNCT
ejpam-6163	202	3	the	the	DET
ejpam-6163	202	4	conjugate	conjugate	ADJ
ejpam-6163	202	5	directions	direction	NOUN
ejpam-6163	202	6	p1	p1	NOUN
ejpam-6163	202	7	,	,	PUNCT
ejpam-6163	202	8	.	.	PUNCT
ejpam-6163	202	9	.	.	PUNCT
ejpam-6163	202	10	.	.	PUNCT
ejpam-6163	203	1	,	,	PUNCT
ejpam-6163	203	2	pn	pn	PROPN
ejpam-6163	203	3	are	be	AUX
ejpam-6163	203	4	c	c	NOUN
ejpam-6163	203	5	-	-	PUNCT
ejpam-6163	203	6	conjugate	conjugate	ADJ
ejpam-6163	203	7	.	.	PUNCT
ejpam-6163	204	1	for	for	ADP
ejpam-6163	204	2	any	any	DET
ejpam-6163	204	3	initial	initial	ADJ
ejpam-6163	204	4	value	value	NOUN
ejpam-6163	204	5	y(0	y(0	PROPN
ejpam-6163	204	6	)	)	PUNCT
ejpam-6163	204	7	∈	∈	PROPN
ejpam-6163	204	8	rn	rn	PROPN
ejpam-6163	204	9	,	,	PUNCT
ejpam-6163	204	10	and	and	CCONJ
ejpam-6163	204	11	the	the	DET
ejpam-6163	204	12	step	step	NOUN
ejpam-6163	204	13	size	size	NOUN
ejpam-6163	204	14	tk	tk	PROPN
ejpam-6163	204	15	=	=	SYM
ejpam-6163	204	16	(	(	PUNCT
ejpam-6163	204	17	b−	b−	PROPN
ejpam-6163	204	18	cyk−1	cyk−1	PROPN
ejpam-6163	204	19	,	,	PUNCT
ejpam-6163	204	20	pk	pk	NOUN
ejpam-6163	204	21	)	)	PUNCT
ejpam-6163	204	22	(	(	PUNCT
ejpam-6163	204	23	cpk	cpk	PROPN
ejpam-6163	204	24	,	,	PUNCT
ejpam-6163	204	25	pk	pk	NOUN
ejpam-6163	204	26	)	)	PUNCT
ejpam-6163	204	27	,	,	PUNCT
ejpam-6163	204	28	the	the	DET
ejpam-6163	204	29	discrete	discrete	ADJ
ejpam-6163	204	30	-	-	PUNCT
ejpam-6163	204	31	time	time	NOUN
ejpam-6163	204	32	update	update	NOUN
ejpam-6163	204	33	y(k	y(k	NOUN
ejpam-6163	204	34	)	)	PUNCT
ejpam-6163	204	35	=	=	SYM
ejpam-6163	204	36	y(k	y(k	PROPN
ejpam-6163	204	37	−	−	PROPN
ejpam-6163	204	38	1	1	NUM
ejpam-6163	204	39	)	)	PUNCT
ejpam-6163	204	40	+	+	CCONJ
ejpam-6163	204	41	tkpk	tkpk	ADJ
ejpam-6163	204	42	(	(	PUNCT
ejpam-6163	204	43	k	k	NOUN
ejpam-6163	204	44	=	=	SYM
ejpam-6163	204	45	1	1	NUM
ejpam-6163	204	46	,	,	PUNCT
ejpam-6163	204	47	2	2	NUM
ejpam-6163	204	48	,	,	PUNCT
ejpam-6163	204	49	.	.	PUNCT
ejpam-6163	204	50	.	.	PUNCT
ejpam-6163	205	1	.	.	PUNCT
ejpam-6163	206	1	,	,	PUNCT
ejpam-6163	206	2	n	n	CCONJ
ejpam-6163	206	3	)	)	PUNCT
ejpam-6163	206	4	drives	drive	VERB
ejpam-6163	206	5	the	the	DET
ejpam-6163	206	6	system	system	NOUN
ejpam-6163	206	7	to	to	PART
ejpam-6163	206	8	consensus	consensus	VERB
ejpam-6163	206	9	in	in	ADP
ejpam-6163	206	10	finite	finite	ADJ
ejpam-6163	206	11	time	time	NOUN
ejpam-6163	206	12	n	n	ADP
ejpam-6163	206	13	under	under	ADP
ejpam-6163	206	14	the	the	DET
ejpam-6163	206	15	protocol	protocol	NOUN
ejpam-6163	206	16	(	(	PUNCT
ejpam-6163	206	17	3.1	3.1	NUM
ejpam-6163	206	18	)	)	PUNCT
ejpam-6163	206	19	,	,	PUNCT
ejpam-6163	206	20	provided	provide	VERB
ejpam-6163	206	21	that	that	SCONJ
ejpam-6163	206	22	0	0	NUM
ejpam-6163	206	23	<	<	X
ejpam-6163	206	24	h	h	X
ejpam-6163	206	25	<	<	X
ejpam-6163	206	26	1	1	NUM
ejpam-6163	206	27	dmax	dmax	ADJ
ejpam-6163	206	28	,	,	PUNCT
ejpam-6163	206	29	where	where	SCONJ
ejpam-6163	206	30	c	c	NOUN
ejpam-6163	206	31	=	=	SYM
ejpam-6163	206	32	ρi	ρi	PROPN
ejpam-6163	206	33	+	+	PROPN
ejpam-6163	206	34	hl	hl	NOUN
ejpam-6163	206	35	,	,	PUNCT
ejpam-6163	206	36	b	b	X
ejpam-6163	206	37	=	=	PUNCT
ejpam-6163	206	38	ρy∗	ρy∗	PROPN
ejpam-6163	206	39	,	,	PUNCT
ejpam-6163	206	40	0	0	PUNCT
ejpam-6163	206	41	<	<	X
ejpam-6163	206	42	ρ	ρ	X
ejpam-6163	206	43	<	<	X
ejpam-6163	206	44	1	1	NUM
ejpam-6163	206	45	,	,	PUNCT
ejpam-6163	206	46	and	and	CCONJ
ejpam-6163	206	47	y∗	y∗	ADV
ejpam-6163	206	48	is	be	AUX
ejpam-6163	206	49	the	the	DET
ejpam-6163	206	50	consensus	consensus	NOUN
ejpam-6163	206	51	value	value	NOUN
ejpam-6163	206	52	.	.	PUNCT
ejpam-6163	207	1	the	the	DET
ejpam-6163	207	2	hybrid	hybrid	ADJ
ejpam-6163	207	3	multi	multi	ADJ
ejpam-6163	207	4	-	-	ADJ
ejpam-6163	207	5	agent	agent	ADJ
ejpam-6163	207	6	system	system	NOUN
ejpam-6163	207	7	(	(	PUNCT
ejpam-6163	207	8	2.1	2.1	NUM
ejpam-6163	207	9	)	)	PUNCT
ejpam-6163	207	10	achieves	achieve	VERB
ejpam-6163	207	11	finite	finite	ADJ
ejpam-6163	207	12	-	-	PUNCT
ejpam-6163	207	13	time	time	NOUN
ejpam-6163	207	14	consensus	consensus	NOUN
ejpam-6163	207	15	if	if	SCONJ
ejpam-6163	208	1	and	and	CCONJ
ejpam-6163	208	2	only	only	ADV
ejpam-6163	208	3	if	if	SCONJ
ejpam-6163	208	4	g	g	PROPN
ejpam-6163	208	5	contains	contain	VERB
ejpam-6163	208	6	a	a	DET
ejpam-6163	208	7	directed	directed	ADJ
ejpam-6163	208	8	spanning	span	VERB
ejpam-6163	208	9	tree	tree	NOUN
ejpam-6163	208	10	.	.	PUNCT
ejpam-6163	209	1	proof	proof	NOUN
ejpam-6163	209	2	.	.	PUNCT
ejpam-6163	210	1	(	(	PUNCT
ejpam-6163	210	2	sufficiency	sufficiency	NOUN
ejpam-6163	210	3	)	)	PUNCT
ejpam-6163	210	4	assume	assume	VERB
ejpam-6163	210	5	βi	βi	NOUN
ejpam-6163	210	6	=	=	NOUN
ejpam-6163	210	7	1	1	NUM
ejpam-6163	210	8	for	for	ADP
ejpam-6163	210	9	all	all	PRON
ejpam-6163	210	10	i	i	PRON
ejpam-6163	210	11	∈	∈	VERB
ejpam-6163	210	12	in	in	ADP
ejpam-6163	210	13	.	.	PUNCT
ejpam-6163	211	1	under	under	ADP
ejpam-6163	211	2	protocol	protocol	NOUN
ejpam-6163	211	3	(	(	PUNCT
ejpam-6163	211	4	3.1	3.1	NUM
ejpam-6163	211	5	)	)	PUNCT
ejpam-6163	211	6	,	,	PUNCT
ejpam-6163	211	7	the	the	DET
ejpam-6163	211	8	agent	agent	NOUN
ejpam-6163	211	9	dynamics	dynamic	NOUN
ejpam-6163	211	10	simplify	simplify	VERB
ejpam-6163	211	11	to	to	ADP
ejpam-6163	211	12	xi(tk+1	xi(tk+1	NOUN
ejpam-6163	211	13	)	)	PUNCT
ejpam-6163	211	14	=	=	SYM
ejpam-6163	211	15	xi(tk	xi(tk	PROPN
ejpam-6163	211	16	)	)	PUNCT
ejpam-6163	212	1	+	+	NUM
ejpam-6163	212	2	h	h	NOUN
ejpam-6163	212	3	∑	∑	PROPN
ejpam-6163	212	4	j∈ni	j∈ni	PROPN
ejpam-6163	212	5	aij	aij	PROPN
ejpam-6163	213	1	[	[	X
ejpam-6163	213	2	xj(tk)−	xj(tk)−	PROPN
ejpam-6163	213	3	xi(tk	xi(tk	PROPN
ejpam-6163	213	4	)	)	PUNCT
ejpam-6163	214	1	]	]	PUNCT
ejpam-6163	214	2	,	,	PUNCT
ejpam-6163	214	3	∀i	∀i	X
ejpam-6163	214	4	∈	∈	NOUN
ejpam-6163	214	5	in	in	ADP
ejpam-6163	214	6	.	.	PUNCT
ejpam-6163	215	1	let	let	VERB
ejpam-6163	215	2	y(tk	y(tk	NOUN
ejpam-6163	215	3	)	)	PUNCT
ejpam-6163	215	4	=	=	SYM
ejpam-6163	215	5	x(tk	x(tk	PROPN
ejpam-6163	215	6	)	)	PUNCT
ejpam-6163	216	1	∈	∈	PROPN
ejpam-6163	216	2	rn	rn	PROPN
ejpam-6163	216	3	.	.	PUNCT
ejpam-6163	217	1	the	the	DET
ejpam-6163	217	2	global	global	ADJ
ejpam-6163	217	3	update	update	NOUN
ejpam-6163	217	4	becomes	become	VERB
ejpam-6163	217	5	y(tk+1	y(tk+1	NOUN
ejpam-6163	217	6	)	)	PUNCT
ejpam-6163	217	7	=	=	PUNCT
ejpam-6163	218	1	[	[	X
ejpam-6163	218	2	i	i	PRON
ejpam-6163	218	3	−hl]y(tk	−hl]y(tk	PROPN
ejpam-6163	218	4	)	)	PUNCT
ejpam-6163	218	5	,	,	PUNCT
ejpam-6163	218	6	where	where	SCONJ
ejpam-6163	218	7	l	l	NOUN
ejpam-6163	218	8	is	be	AUX
ejpam-6163	218	9	the	the	DET
ejpam-6163	218	10	laplacian	laplacian	NOUN
ejpam-6163	218	11	of	of	ADP
ejpam-6163	218	12	g	g	PROPN
ejpam-6163	218	13	,	,	PUNCT
ejpam-6163	218	14	and	and	CCONJ
ejpam-6163	218	15	h	h	NOUN
ejpam-6163	218	16	=	=	SYM
ejpam-6163	218	17	diag(h1	diag(h1	PROPN
ejpam-6163	218	18	,	,	PUNCT
ejpam-6163	218	19	.	.	PUNCT
ejpam-6163	218	20	.	.	PUNCT
ejpam-6163	219	1	.	.	PUNCT
ejpam-6163	220	1	,	,	PUNCT
ejpam-6163	220	2	hn	hn	PROPN
ejpam-6163	220	3	)	)	PUNCT
ejpam-6163	220	4	is	be	AUX
ejpam-6163	220	5	the	the	DET
ejpam-6163	220	6	step	step	NOUN
ejpam-6163	220	7	-	-	PUNCT
ejpam-6163	220	8	size	size	NOUN
ejpam-6163	220	9	matrix	matrix	NOUN
ejpam-6163	220	10	.	.	PUNCT
ejpam-6163	221	1	if	if	SCONJ
ejpam-6163	221	2	g	g	PROPN
ejpam-6163	221	3	contains	contain	VERB
ejpam-6163	221	4	a	a	DET
ejpam-6163	221	5	directed	directed	ADJ
ejpam-6163	221	6	spanning	span	VERB
ejpam-6163	221	7	tree	tree	NOUN
ejpam-6163	221	8	and	and	CCONJ
ejpam-6163	221	9	0	0	NUM
ejpam-6163	221	10	<	<	X
ejpam-6163	221	11	h	h	X
ejpam-6163	221	12	<	<	X
ejpam-6163	221	13	1	1	NUM
ejpam-6163	221	14	dmax	dmax	X
ejpam-6163	221	15	,	,	PUNCT
ejpam-6163	221	16	lemma	lemma	PROPN
ejpam-6163	221	17	3	3	NUM
ejpam-6163	221	18	ensures	ensure	VERB
ejpam-6163	221	19	that	that	SCONJ
ejpam-6163	221	20	the	the	DET
ejpam-6163	221	21	system	system	NOUN
ejpam-6163	221	22	asymptotically	asymptotically	ADV
ejpam-6163	221	23	converges	converge	VERB
ejpam-6163	221	24	to	to	ADP
ejpam-6163	221	25	consensus	consensus	NOUN
ejpam-6163	221	26	:	:	PUNCT
ejpam-6163	221	27	lim	lim	PROPN
ejpam-6163	221	28	k→∞	k→∞	PROPN
ejpam-6163	221	29	y(k	y(k	PROPN
ejpam-6163	221	30	)	)	PUNCT
ejpam-6163	221	31	=	=	VERB
ejpam-6163	222	1	x∗1	x∗1	PROPN
ejpam-6163	222	2	,	,	PUNCT
ejpam-6163	222	3	with	with	ADP
ejpam-6163	222	4	lx∗	lx∗	NOUN
ejpam-6163	222	5	=	=	NOUN
ejpam-6163	222	6	0	0	NUM
ejpam-6163	222	7	.	.	PUNCT
ejpam-6163	222	8	to	to	PART
ejpam-6163	222	9	ensure	ensure	VERB
ejpam-6163	222	10	finite	finite	ADJ
ejpam-6163	222	11	-	-	PUNCT
ejpam-6163	222	12	time	time	NOUN
ejpam-6163	222	13	convergence	convergence	NOUN
ejpam-6163	222	14	,	,	PUNCT
ejpam-6163	222	15	we	we	PRON
ejpam-6163	222	16	reformulate	reformulate	VERB
ejpam-6163	222	17	this	this	DET
ejpam-6163	222	18	steady	steady	ADJ
ejpam-6163	222	19	-	-	PUNCT
ejpam-6163	222	20	state	state	NOUN
ejpam-6163	222	21	condition	condition	NOUN
ejpam-6163	222	22	as	as	ADP
ejpam-6163	222	23	cy∗	cy∗	NOUN
ejpam-6163	222	24	=	=	SYM
ejpam-6163	222	25	b	b	PROPN
ejpam-6163	222	26	,	,	PUNCT
ejpam-6163	222	27	where	where	SCONJ
ejpam-6163	222	28	c	c	NOUN
ejpam-6163	222	29	=	=	SYM
ejpam-6163	222	30	ρi	ρi	PROPN
ejpam-6163	223	1	+	+	PROPN
ejpam-6163	223	2	hl	hl	NOUN
ejpam-6163	223	3	,	,	PUNCT
ejpam-6163	223	4	b	b	NOUN
ejpam-6163	223	5	=	=	SYM
ejpam-6163	223	6	ρx∗	ρx∗	X
ejpam-6163	223	7	,	,	PUNCT
ejpam-6163	223	8	0	0	NUM
ejpam-6163	223	9	<	<	X
ejpam-6163	223	10	ρ	ρ	X
ejpam-6163	223	11	<	<	X
ejpam-6163	223	12	1	1	NUM
ejpam-6163	223	13	.	.	PUNCT
ejpam-6163	223	14	m.	m.	NOUN
ejpam-6163	223	15	donganont	donganont	PROPN
ejpam-6163	223	16	,	,	PUNCT
ejpam-6163	223	17	s.	s.	PROPN
ejpam-6163	223	18	intawichai	intawichai	PROPN
ejpam-6163	223	19	,	,	PUNCT
ejpam-6163	223	20	s.	s.	PROPN
ejpam-6163	223	21	phongchan	phongchan	PROPN
ejpam-6163	223	22	/	/	SYM
ejpam-6163	223	23	eur	eur	PROPN
ejpam-6163	223	24	.	.	PUNCT
ejpam-6163	224	1	j.	j.	PROPN
ejpam-6163	224	2	pure	pure	PROPN
ejpam-6163	224	3	appl	appl	PROPN
ejpam-6163	224	4	.	.	PROPN
ejpam-6163	224	5	math	math	PROPN
ejpam-6163	224	6	,	,	PUNCT
ejpam-6163	224	7	18	18	NUM
ejpam-6163	224	8	(	(	PUNCT
ejpam-6163	224	9	2	2	NUM
ejpam-6163	224	10	)	)	PUNCT
ejpam-6163	224	11	(	(	PUNCT
ejpam-6163	224	12	2025	2025	NUM
ejpam-6163	224	13	)	)	PUNCT
ejpam-6163	224	14	,	,	PUNCT
ejpam-6163	224	15	6163	6163	NUM
ejpam-6163	224	16	10	10	NUM
ejpam-6163	224	17	of	of	ADP
ejpam-6163	224	18	20	20	NUM
ejpam-6163	224	19	since	since	SCONJ
ejpam-6163	224	20	c	c	PROPN
ejpam-6163	224	21	is	be	AUX
ejpam-6163	224	22	symmetric	symmetric	ADJ
ejpam-6163	224	23	and	and	CCONJ
ejpam-6163	224	24	positive	positive	ADJ
ejpam-6163	224	25	definite	definite	ADJ
ejpam-6163	224	26	,	,	PUNCT
ejpam-6163	224	27	the	the	DET
ejpam-6163	224	28	conjugate	conjugate	ADJ
ejpam-6163	224	29	gradient	gradient	NOUN
ejpam-6163	224	30	method	method	NOUN
ejpam-6163	224	31	(	(	PUNCT
ejpam-6163	224	32	cgm	cgm	PROPN
ejpam-6163	224	33	)	)	PUNCT
ejpam-6163	224	34	applies	apply	VERB
ejpam-6163	224	35	.	.	PUNCT
ejpam-6163	225	1	starting	start	VERB
ejpam-6163	225	2	from	from	ADP
ejpam-6163	225	3	any	any	DET
ejpam-6163	225	4	initial	initial	ADJ
ejpam-6163	225	5	y(0	y(0	PROPN
ejpam-6163	225	6	)	)	PUNCT
ejpam-6163	225	7	,	,	PUNCT
ejpam-6163	225	8	the	the	DET
ejpam-6163	225	9	update	update	NOUN
ejpam-6163	225	10	y(k	y(k	NOUN
ejpam-6163	225	11	)	)	PUNCT
ejpam-6163	226	1	=	=	SYM
ejpam-6163	226	2	y(k	y(k	PROPN
ejpam-6163	226	3	−	−	PROPN
ejpam-6163	226	4	1	1	NUM
ejpam-6163	226	5	)	)	PUNCT
ejpam-6163	226	6	+	+	CCONJ
ejpam-6163	226	7	tkpk	tkpk	ADJ
ejpam-6163	226	8	,	,	PUNCT
ejpam-6163	226	9	tk	tk	NOUN
ejpam-6163	226	10	=	=	SYM
ejpam-6163	226	11	(	(	PUNCT
ejpam-6163	226	12	rk−1	rk−1	PROPN
ejpam-6163	226	13	,	,	PUNCT
ejpam-6163	226	14	pk	pk	NOUN
ejpam-6163	226	15	)	)	PUNCT
ejpam-6163	226	16	(	(	PUNCT
ejpam-6163	226	17	cpk	cpk	PROPN
ejpam-6163	226	18	,	,	PUNCT
ejpam-6163	226	19	pk	pk	NOUN
ejpam-6163	226	20	)	)	PUNCT
ejpam-6163	226	21	,	,	PUNCT
ejpam-6163	226	22	with	with	ADP
ejpam-6163	226	23	rk−1	rk−1	PROPN
ejpam-6163	226	24	=	=	PUNCT
ejpam-6163	226	25	b−	b−	PROPN
ejpam-6163	226	26	cy(k	cy(k	NOUN
ejpam-6163	226	27	−	−	PROPN
ejpam-6163	226	28	1	1	NUM
ejpam-6163	226	29	)	)	PUNCT
ejpam-6163	226	30	and	and	CCONJ
ejpam-6163	226	31	c	c	NOUN
ejpam-6163	226	32	-	-	PUNCT
ejpam-6163	226	33	conjugate	conjugate	ADJ
ejpam-6163	226	34	directions	direction	NOUN
ejpam-6163	226	35	pk	pk	NOUN
ejpam-6163	226	36	,	,	PUNCT
ejpam-6163	226	37	converges	converge	VERB
ejpam-6163	226	38	exactly	exactly	ADV
ejpam-6163	226	39	to	to	PART
ejpam-6163	226	40	x∗1	x∗1	VERB
ejpam-6163	226	41	in	in	ADP
ejpam-6163	226	42	at	at	ADP
ejpam-6163	226	43	most	most	ADJ
ejpam-6163	226	44	n	n	PRON
ejpam-6163	226	45	steps	step	NOUN
ejpam-6163	226	46	by	by	ADP
ejpam-6163	226	47	lemma	lemma	PROPN
ejpam-6163	226	48	1	1	NUM
ejpam-6163	226	49	.	.	PUNCT
ejpam-6163	227	1	thus	thus	ADV
ejpam-6163	227	2	,	,	PUNCT
ejpam-6163	227	3	the	the	DET
ejpam-6163	227	4	system	system	NOUN
ejpam-6163	227	5	achieves	achieve	VERB
ejpam-6163	227	6	consensus	consensus	NOUN
ejpam-6163	227	7	in	in	ADP
ejpam-6163	227	8	finite	finite	ADJ
ejpam-6163	227	9	time	time	NOUN
ejpam-6163	227	10	.	.	PUNCT
ejpam-6163	228	1	(	(	PUNCT
ejpam-6163	228	2	necessity	necessity	NOUN
ejpam-6163	228	3	)	)	PUNCT
ejpam-6163	228	4	if	if	SCONJ
ejpam-6163	228	5	g	g	PROPN
ejpam-6163	228	6	lacks	lack	VERB
ejpam-6163	228	7	a	a	DET
ejpam-6163	228	8	directed	directed	ADJ
ejpam-6163	228	9	spanning	span	VERB
ejpam-6163	228	10	tree	tree	NOUN
ejpam-6163	228	11	,	,	PUNCT
ejpam-6163	228	12	then	then	ADV
ejpam-6163	228	13	l	l	NOUN
ejpam-6163	228	14	has	have	VERB
ejpam-6163	228	15	multiple	multiple	ADJ
ejpam-6163	228	16	zero	zero	NUM
ejpam-6163	228	17	eigenvalues	eigenvalue	NOUN
ejpam-6163	228	18	,	,	PUNCT
ejpam-6163	228	19	and	and	CCONJ
ejpam-6163	228	20	i	i	PRON
ejpam-6163	228	21	−	−	VERB
ejpam-6163	228	22	hl	hl	NOUN
ejpam-6163	228	23	fails	fail	VERB
ejpam-6163	228	24	to	to	PART
ejpam-6163	228	25	reach	reach	VERB
ejpam-6163	228	26	consensus	consensus	NOUN
ejpam-6163	228	27	.	.	PUNCT
ejpam-6163	229	1	hence	hence	ADV
ejpam-6163	229	2	,	,	PUNCT
ejpam-6163	229	3	the	the	DET
ejpam-6163	229	4	cgm	cgm	PROPN
ejpam-6163	229	5	can	can	AUX
ejpam-6163	229	6	not	not	PART
ejpam-6163	229	7	converge	converge	VERB
ejpam-6163	229	8	to	to	ADP
ejpam-6163	229	9	a	a	DET
ejpam-6163	229	10	common	common	ADJ
ejpam-6163	229	11	solution	solution	NOUN
ejpam-6163	229	12	,	,	PUNCT
ejpam-6163	229	13	and	and	CCONJ
ejpam-6163	229	14	consensus	consensus	NOUN
ejpam-6163	229	15	is	be	AUX
ejpam-6163	229	16	not	not	PART
ejpam-6163	229	17	achievable	achievable	ADJ
ejpam-6163	229	18	.	.	PUNCT
ejpam-6163	230	1	3.2	3.2	NUM
ejpam-6163	230	2	.	.	PUNCT
ejpam-6163	231	1	case	case	NOUN
ejpam-6163	231	2	ii	ii	NOUN
ejpam-6163	231	3	all	all	DET
ejpam-6163	231	4	agents	agent	NOUN
ejpam-6163	231	5	communicate	communicate	VERB
ejpam-6163	231	6	with	with	ADP
ejpam-6163	231	7	their	their	PRON
ejpam-6163	231	8	neighbours	neighbour	NOUN
ejpam-6163	231	9	and	and	CCONJ
ejpam-6163	231	10	update	update	VERB
ejpam-6163	231	11	their	their	PRON
ejpam-6163	231	12	control	control	NOUN
ejpam-6163	231	13	inputs	input	NOUN
ejpam-6163	231	14	in	in	ADP
ejpam-6163	231	15	a	a	DET
ejpam-6163	231	16	sampling	sampling	NOUN
ejpam-6163	231	17	time	time	NOUN
ejpam-6163	231	18	tk	tk	PROPN
ejpam-6163	231	19	.	.	PROPN
ejpam-6163	231	20	however	however	ADV
ejpam-6163	231	21	,	,	PUNCT
ejpam-6163	231	22	different	different	ADJ
ejpam-6163	231	23	from	from	ADP
ejpam-6163	231	24	case	case	NOUN
ejpam-6163	231	25	i	i	PRON
ejpam-6163	231	26	,	,	PUNCT
ejpam-6163	231	27	we	we	PRON
ejpam-6163	231	28	assume	assume	VERB
ejpam-6163	231	29	that	that	SCONJ
ejpam-6163	231	30	each	each	DET
ejpam-6163	231	31	continuous	continuous	ADJ
ejpam-6163	231	32	-	-	PUNCT
ejpam-6163	231	33	time	time	NOUN
ejpam-6163	231	34	dynamic	dynamic	ADJ
ejpam-6163	231	35	agent	agent	NOUN
ejpam-6163	231	36	can	can	AUX
ejpam-6163	231	37	observe	observe	VERB
ejpam-6163	231	38	its	its	PRON
ejpam-6163	231	39	own	own	ADJ
ejpam-6163	231	40	state	state	NOUN
ejpam-6163	231	41	in	in	ADP
ejpam-6163	231	42	real	real	ADJ
ejpam-6163	231	43	time	time	NOUN
ejpam-6163	231	44	.	.	PUNCT
ejpam-6163	232	1	then	then	ADV
ejpam-6163	232	2	,	,	PUNCT
ejpam-6163	232	3	the	the	DET
ejpam-6163	232	4	consensus	consensus	NOUN
ejpam-6163	232	5	protocol	protocol	NOUN
ejpam-6163	232	6	for	for	ADP
ejpam-6163	232	7	hybrid	hybrid	ADJ
ejpam-6163	232	8	multi	multi	ADJ
ejpam-6163	232	9	-	-	ADJ
ejpam-6163	232	10	agent	agent	ADJ
ejpam-6163	232	11	system	system	NOUN
ejpam-6163	232	12	(	(	PUNCT
ejpam-6163	232	13	2.1	2.1	NUM
ejpam-6163	232	14	)	)	PUNCT
ejpam-6163	232	15	is	be	AUX
ejpam-6163	232	16	defined	define	VERB
ejpam-6163	232	17	by:	by:	NUM
ejpam-6163	232	18	ui(t	ui(t	NOUN
ejpam-6163	232	19	)	)	PUNCT
ejpam-6163	233	1	=	=	SYM
ejpam-6163	233	2	|βi|	|βi|	PROPN
ejpam-6163	233	3	∑	∑	PUNCT
ejpam-6163	233	4	j∈n	j∈n	NOUN
ejpam-6163	233	5	aij	aij	PROPN
ejpam-6163	233	6	[	[	X
ejpam-6163	233	7	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	233	8	βixi(t	βixi(t	NOUN
ejpam-6163	233	9	)	)	PUNCT
ejpam-6163	233	10	]	]	PUNCT
ejpam-6163	233	11	,	,	PUNCT
ejpam-6163	233	12	for	for	ADP
ejpam-6163	233	13	t	t	PROPN
ejpam-6163	233	14	∈	∈	PROPN
ejpam-6163	233	15	(	(	PUNCT
ejpam-6163	233	16	tk	tk	PROPN
ejpam-6163	233	17	,	,	PUNCT
ejpam-6163	233	18	tk+1	tk+1	PROPN
ejpam-6163	233	19	]	]	PUNCT
ejpam-6163	233	20	,	,	PUNCT
ejpam-6163	233	21	i	i	PRON
ejpam-6163	233	22	∈	∈	VERB
ejpam-6163	234	1	i	i	PRON
ejpam-6163	234	2	m	m	VERB
ejpam-6163	234	3	ui(tk	ui(tk	NOUN
ejpam-6163	234	4	)	)	PUNCT
ejpam-6163	235	1	=	=	SYM
ejpam-6163	236	1	h	h	NOUN
ejpam-6163	236	2	·	·	PUNCT
ejpam-6163	236	3	|βi|	|βi|	PROPN
ejpam-6163	236	4	∑	∑	PUNCT
ejpam-6163	236	5	j∈ni	j∈ni	PROPN
ejpam-6163	236	6	aij	aij	PROPN
ejpam-6163	236	7	[	[	PUNCT
ejpam-6163	236	8	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	236	9	βixi(tk	βixi(tk	NOUN
ejpam-6163	236	10	)	)	PUNCT
ejpam-6163	236	11	]	]	PUNCT
ejpam-6163	236	12	,	,	PUNCT
ejpam-6163	236	13	for	for	ADP
ejpam-6163	236	14	i	i	PRON
ejpam-6163	236	15	∈	∈	PROPN
ejpam-6163	236	16	in	in	ADP
ejpam-6163	236	17	/	/	SYM
ejpam-6163	236	18	im	im	INTJ
ejpam-6163	236	19	,	,	PUNCT
ejpam-6163	236	20	(	(	PUNCT
ejpam-6163	236	21	3.5	3.5	NUM
ejpam-6163	236	22	)	)	PUNCT
ejpam-6163	236	23	where	where	SCONJ
ejpam-6163	236	24	all	all	DET
ejpam-6163	236	25	variables	variable	NOUN
ejpam-6163	236	26	are	be	AUX
ejpam-6163	236	27	defined	define	VERB
ejpam-6163	236	28	as	as	ADP
ejpam-6163	236	29	in	in	ADP
ejpam-6163	236	30	the	the	DET
ejpam-6163	236	31	previous	previous	ADJ
ejpam-6163	236	32	section	section	NOUN
ejpam-6163	236	33	.	.	PUNCT
ejpam-6163	237	1	theorem	theorem	NOUN
ejpam-6163	237	2	2	2	NUM
ejpam-6163	237	3	.	.	PUNCT
ejpam-6163	238	1	let	let	VERB
ejpam-6163	238	2	g	g	PRON
ejpam-6163	238	3	be	be	AUX
ejpam-6163	238	4	a	a	DET
ejpam-6163	238	5	connected	connect	VERB
ejpam-6163	238	6	directed	direct	VERB
ejpam-6163	238	7	communication	communication	NOUN
ejpam-6163	238	8	network	network	NOUN
ejpam-6163	238	9	of	of	ADP
ejpam-6163	238	10	the	the	DET
ejpam-6163	238	11	hybrid	hybrid	ADJ
ejpam-6163	238	12	multiagent	multiagent	NOUN
ejpam-6163	238	13	system	system	NOUN
ejpam-6163	238	14	(	(	PUNCT
ejpam-6163	238	15	2.1	2.1	NUM
ejpam-6163	238	16	)	)	PUNCT
ejpam-6163	238	17	,	,	PUNCT
ejpam-6163	238	18	and	and	CCONJ
ejpam-6163	238	19	let	let	VERB
ejpam-6163	238	20	βi	βi	PRON
ejpam-6163	238	21	̸=	̸=	PROPN
ejpam-6163	238	22	0	0	NUM
ejpam-6163	238	23	be	be	AUX
ejpam-6163	238	24	any	any	DET
ejpam-6163	238	25	scalar	scalar	ADJ
ejpam-6163	238	26	scale	scale	NOUN
ejpam-6163	238	27	of	of	ADP
ejpam-6163	238	28	agent	agent	NOUN
ejpam-6163	238	29	i.	i.	PROPN
ejpam-6163	238	30	suppose	suppose	VERB
ejpam-6163	238	31	the	the	DET
ejpam-6163	238	32	vectors	vector	NOUN
ejpam-6163	238	33	p1	p1	PROPN
ejpam-6163	238	34	,	,	PUNCT
ejpam-6163	238	35	.	.	PUNCT
ejpam-6163	238	36	.	.	PUNCT
ejpam-6163	239	1	.	.	PUNCT
ejpam-6163	240	1	,	,	PUNCT
ejpam-6163	240	2	pn	pn	PROPN
ejpam-6163	240	3	are	be	AUX
ejpam-6163	240	4	c	c	NOUN
ejpam-6163	240	5	-	-	ADJ
ejpam-6163	240	6	conjugate	conjugate	ADJ
ejpam-6163	240	7	,	,	PUNCT
ejpam-6163	240	8	and	and	CCONJ
ejpam-6163	240	9	let	let	VERB
ejpam-6163	240	10	the	the	DET
ejpam-6163	240	11	initial	initial	ADJ
ejpam-6163	240	12	value	value	NOUN
ejpam-6163	240	13	be	be	AUX
ejpam-6163	240	14	y(0	y(0	PROPN
ejpam-6163	240	15	)	)	PUNCT
ejpam-6163	240	16	∈	∈	PROPN
ejpam-6163	240	17	rn	rn	PROPN
ejpam-6163	240	18	,	,	PUNCT
ejpam-6163	240	19	with	with	ADP
ejpam-6163	240	20	step	step	NOUN
ejpam-6163	240	21	size	size	NOUN
ejpam-6163	240	22	defined	define	VERB
ejpam-6163	240	23	as	as	ADP
ejpam-6163	240	24	tk	tk	PROPN
ejpam-6163	240	25	=	=	SYM
ejpam-6163	240	26	(	(	PUNCT
ejpam-6163	240	27	b−	b−	PROPN
ejpam-6163	240	28	cyk−1	cyk−1	PROPN
ejpam-6163	240	29	,	,	PUNCT
ejpam-6163	240	30	pk	pk	NOUN
ejpam-6163	240	31	)	)	PUNCT
ejpam-6163	240	32	(	(	PUNCT
ejpam-6163	240	33	cpk	cpk	PROPN
ejpam-6163	240	34	,	,	PUNCT
ejpam-6163	240	35	pk	pk	NOUN
ejpam-6163	240	36	)	)	PUNCT
ejpam-6163	240	37	.	.	PUNCT
ejpam-6163	241	1	then	then	ADV
ejpam-6163	241	2	,	,	PUNCT
ejpam-6163	241	3	under	under	ADP
ejpam-6163	241	4	the	the	DET
ejpam-6163	241	5	discrete	discrete	ADJ
ejpam-6163	241	6	-	-	PUNCT
ejpam-6163	241	7	time	time	NOUN
ejpam-6163	241	8	dynamic	dynamic	ADJ
ejpam-6163	241	9	protocol	protocol	NOUN
ejpam-6163	241	10	y(k	y(k	PROPN
ejpam-6163	241	11	)	)	PUNCT
ejpam-6163	242	1	=	=	PUNCT
ejpam-6163	242	2	y(k	y(k	PROPN
ejpam-6163	242	3	−	−	PROPN
ejpam-6163	242	4	1	1	NUM
ejpam-6163	242	5	)	)	PUNCT
ejpam-6163	242	6	+	+	CCONJ
ejpam-6163	242	7	tkpk	tkpk	ADJ
ejpam-6163	242	8	(	(	PUNCT
ejpam-6163	242	9	k	k	NOUN
ejpam-6163	242	10	=	=	SYM
ejpam-6163	242	11	1	1	NUM
ejpam-6163	242	12	,	,	PUNCT
ejpam-6163	242	13	2	2	NUM
ejpam-6163	242	14	,	,	PUNCT
ejpam-6163	242	15	.	.	PUNCT
ejpam-6163	242	16	.	.	PUNCT
ejpam-6163	243	1	.	.	PUNCT
ejpam-6163	243	2	,	,	PUNCT
ejpam-6163	244	1	n	n	CCONJ
ejpam-6163	244	2	)	)	PUNCT
ejpam-6163	245	1	,	,	PUNCT
ejpam-6163	245	2	the	the	DET
ejpam-6163	245	3	hybrid	hybrid	ADJ
ejpam-6163	245	4	multi	multi	ADJ
ejpam-6163	245	5	-	-	ADJ
ejpam-6163	245	6	agent	agent	ADJ
ejpam-6163	245	7	system	system	NOUN
ejpam-6163	245	8	(	(	PUNCT
ejpam-6163	245	9	2.1	2.1	NUM
ejpam-6163	245	10	)	)	PUNCT
ejpam-6163	245	11	with	with	ADP
ejpam-6163	245	12	control	control	NOUN
ejpam-6163	245	13	protocol	protocol	NOUN
ejpam-6163	245	14	(	(	PUNCT
ejpam-6163	245	15	3.5	3.5	NUM
ejpam-6163	245	16	)	)	PUNCT
ejpam-6163	245	17	achieves	achieve	VERB
ejpam-6163	245	18	scaled	scale	VERB
ejpam-6163	245	19	consensus	consensus	NOUN
ejpam-6163	245	20	in	in	ADP
ejpam-6163	245	21	finite	finite	ADJ
ejpam-6163	245	22	time	time	NOUN
ejpam-6163	245	23	n	n	CCONJ
ejpam-6163	245	24	if	if	SCONJ
ejpam-6163	246	1	and	and	CCONJ
ejpam-6163	246	2	only	only	ADV
ejpam-6163	246	3	if	if	SCONJ
ejpam-6163	246	4	the	the	DET
ejpam-6163	246	5	graph	graph	NOUN
ejpam-6163	246	6	g	g	NOUN
ejpam-6163	246	7	contains	contain	VERB
ejpam-6163	246	8	a	a	DET
ejpam-6163	246	9	spanning	span	VERB
ejpam-6163	246	10	tree	tree	NOUN
ejpam-6163	246	11	.	.	PUNCT
ejpam-6163	247	1	here	here	ADV
ejpam-6163	247	2	,	,	PUNCT
ejpam-6163	247	3	the	the	DET
ejpam-6163	247	4	system	system	NOUN
ejpam-6163	247	5	matrix	matrix	NOUN
ejpam-6163	247	6	and	and	CCONJ
ejpam-6163	247	7	forcing	force	VERB
ejpam-6163	247	8	term	term	NOUN
ejpam-6163	247	9	are	be	AUX
ejpam-6163	247	10	defined	define	VERB
ejpam-6163	247	11	by	by	ADP
ejpam-6163	247	12	c	c	NOUN
ejpam-6163	247	13	=	=	SYM
ejpam-6163	247	14	ρi	ρi	PROPN
ejpam-6163	248	1	+	+	NOUN
ejpam-6163	248	2	h|b|l	h|b|l	PROPN
ejpam-6163	248	3	,	,	PUNCT
ejpam-6163	248	4	b	b	NOUN
ejpam-6163	248	5	=	=	PUNCT
ejpam-6163	248	6	ρy∗	ρy∗	PROPN
ejpam-6163	248	7	,	,	PUNCT
ejpam-6163	248	8	0	0	PUNCT
ejpam-6163	248	9	<	<	X
ejpam-6163	248	10	ρ	ρ	X
ejpam-6163	248	11	<	<	X
ejpam-6163	248	12	1	1	NUM
ejpam-6163	248	13	,	,	PUNCT
ejpam-6163	248	14	where	where	SCONJ
ejpam-6163	248	15	|b|	|b|	PROPN
ejpam-6163	248	16	=	=	SYM
ejpam-6163	248	17	diag(|β1|	diag(|β1|	X
ejpam-6163	248	18	,	,	PUNCT
ejpam-6163	248	19	.	.	PUNCT
ejpam-6163	248	20	.	.	PUNCT
ejpam-6163	249	1	.	.	PUNCT
ejpam-6163	250	1	,	,	PUNCT
ejpam-6163	250	2	|βn	|βn	X
ejpam-6163	250	3	|	|	NOUN
ejpam-6163	250	4	)	)	PUNCT
ejpam-6163	250	5	,	,	PUNCT
ejpam-6163	250	6	l	l	NOUN
ejpam-6163	250	7	is	be	AUX
ejpam-6163	250	8	the	the	DET
ejpam-6163	250	9	laplacian	laplacian	NOUN
ejpam-6163	250	10	of	of	ADP
ejpam-6163	250	11	g	g	PROPN
ejpam-6163	250	12	,	,	PUNCT
ejpam-6163	250	13	and	and	CCONJ
ejpam-6163	250	14	y∗	y∗	ADV
ejpam-6163	250	15	is	be	AUX
ejpam-6163	250	16	the	the	DET
ejpam-6163	250	17	scaled	scale	VERB
ejpam-6163	250	18	consensus	consensus	NOUN
ejpam-6163	250	19	value	value	NOUN
ejpam-6163	250	20	.	.	PUNCT
ejpam-6163	251	1	m.	m.	NOUN
ejpam-6163	251	2	donganont	donganont	PROPN
ejpam-6163	251	3	,	,	PUNCT
ejpam-6163	251	4	s.	s.	PROPN
ejpam-6163	251	5	intawichai	intawichai	PROPN
ejpam-6163	251	6	,	,	PUNCT
ejpam-6163	251	7	s.	s.	PROPN
ejpam-6163	251	8	phongchan	phongchan	PROPN
ejpam-6163	251	9	/	/	SYM
ejpam-6163	251	10	eur	eur	PROPN
ejpam-6163	251	11	.	.	PUNCT
ejpam-6163	252	1	j.	j.	PROPN
ejpam-6163	252	2	pure	pure	PROPN
ejpam-6163	252	3	appl	appl	PROPN
ejpam-6163	252	4	.	.	PROPN
ejpam-6163	252	5	math	math	PROPN
ejpam-6163	252	6	,	,	PUNCT
ejpam-6163	252	7	18	18	NUM
ejpam-6163	252	8	(	(	PUNCT
ejpam-6163	252	9	2	2	NUM
ejpam-6163	252	10	)	)	PUNCT
ejpam-6163	252	11	(	(	PUNCT
ejpam-6163	252	12	2025	2025	NUM
ejpam-6163	252	13	)	)	PUNCT
ejpam-6163	252	14	,	,	PUNCT
ejpam-6163	252	15	6163	6163	NUM
ejpam-6163	252	16	11	11	NUM
ejpam-6163	252	17	of	of	ADP
ejpam-6163	252	18	20	20	NUM
ejpam-6163	252	19	assume	assume	VERB
ejpam-6163	252	20	the	the	DET
ejpam-6163	252	21	sampling	sample	VERB
ejpam-6163	252	22	gain	gain	NOUN
ejpam-6163	252	23	satisfies	satisfy	VERB
ejpam-6163	252	24	0	0	PUNCT
ejpam-6163	252	25	<	<	X
ejpam-6163	252	26	h	h	X
ejpam-6163	252	27	<	<	X
ejpam-6163	252	28	1	1	NUM
ejpam-6163	252	29	d̄maxβmax	d̄maxβmax	NOUN
ejpam-6163	252	30	,	,	PUNCT
ejpam-6163	252	31	where	where	SCONJ
ejpam-6163	252	32	d̄max	d̄max	VERB
ejpam-6163	252	33	=	=	SYM
ejpam-6163	252	34	maxi	maxi	ADJ
ejpam-6163	252	35	∑n	∑n	PROPN
ejpam-6163	252	36	j=1	j=1	PROPN
ejpam-6163	252	37	aij	aij	PROPN
ejpam-6163	252	38	,	,	PUNCT
ejpam-6163	252	39	and	and	CCONJ
ejpam-6163	252	40	βmax	βmax	NOUN
ejpam-6163	252	41	=	=	PUNCT
ejpam-6163	252	42	maxi	maxi	ADJ
ejpam-6163	252	43	|βi|	|βi|	PROPN
ejpam-6163	252	44	.	.	PUNCT
ejpam-6163	253	1	the	the	DET
ejpam-6163	253	2	hybrid	hybrid	ADJ
ejpam-6163	253	3	protocol	protocol	NOUN
ejpam-6163	253	4	used	use	VERB
ejpam-6163	253	5	is	be	AUX
ejpam-6163	253	6	given	give	VERB
ejpam-6163	253	7	by	by	PROPN
ejpam-6163	253	8	ui(t	ui(t	NOUN
ejpam-6163	253	9	)	)	PUNCT
ejpam-6163	253	10	=	=	SYM
ejpam-6163	254	1	|βi|	|βi|	PROPN
ejpam-6163	254	2	∑	∑	PUNCT
ejpam-6163	254	3	j∈ni	j∈ni	PROPN
ejpam-6163	254	4	aij	aij	PROPN
ejpam-6163	254	5	[	[	PUNCT
ejpam-6163	254	6	βjxj(tk)−	βjxj(tk)−	PROPN
ejpam-6163	254	7	βixi(t	βixi(t	NOUN
ejpam-6163	254	8	)	)	PUNCT
ejpam-6163	254	9	]	]	PUNCT
ejpam-6163	254	10	,	,	PUNCT
ejpam-6163	254	11	for	for	ADP
ejpam-6163	254	12	t	t	PROPN
ejpam-6163	254	13	∈	∈	PROPN
ejpam-6163	254	14	(	(	PUNCT
ejpam-6163	254	15	tk	tk	PROPN
ejpam-6163	254	16	,	,	PUNCT
ejpam-6163	254	17	tk+1	tk+1	PROPN
ejpam-6163	254	18	]	]	PUNCT
ejpam-6163	254	19	,	,	PUNCT
ejpam-6163	254	20	i	i	PRON
ejpam-6163	254	21	∈	∈	VERB
ejpam-6163	255	1	i	i	PRON
ejpam-6163	255	2	m	m	VERB
ejpam-6163	255	3	,	,	PUNCT
ejpam-6163	255	4	ui(tk	ui(tk	PROPN
ejpam-6163	255	5	)	)	PUNCT
ejpam-6163	255	6	=	=	SYM
ejpam-6163	256	1	h	h	NOUN
ejpam-6163	256	2	·	·	PUNCT
ejpam-6163	256	3	|βi|	|βi|	PROPN
ejpam-6163	256	4	∑	∑	PUNCT
ejpam-6163	256	5	j∈ni	j∈ni	PROPN
ejpam-6163	256	6	aij	aij	PROPN
ejpam-6163	256	7	[	[	PUNCT
ejpam-6163	256	8	βjxj(tk)−	βjxj(tk)−	NOUN
ejpam-6163	256	9	βixi(tk	βixi(tk	NOUN
ejpam-6163	256	10	)	)	PUNCT
ejpam-6163	256	11	]	]	PUNCT
ejpam-6163	256	12	,	,	PUNCT
ejpam-6163	256	13	for	for	ADP
ejpam-6163	256	14	i	i	PRON
ejpam-6163	256	15	∈	∈	PROPN
ejpam-6163	256	16	in	in	ADP
ejpam-6163	256	17	\	\	PROPN
ejpam-6163	256	18	i	i	PRON
ejpam-6163	256	19	m	m	PROPN
ejpam-6163	256	20	.	.	PUNCT
ejpam-6163	257	1	then	then	ADV
ejpam-6163	257	2	the	the	DET
ejpam-6163	257	3	conjugate	conjugate	ADJ
ejpam-6163	257	4	gradient	gradient	NOUN
ejpam-6163	257	5	method	method	NOUN
ejpam-6163	257	6	solves	solve	VERB
ejpam-6163	257	7	the	the	DET
ejpam-6163	257	8	linear	linear	ADJ
ejpam-6163	257	9	system	system	NOUN
ejpam-6163	257	10	cy∗	cy∗	NOUN
ejpam-6163	258	1	=	=	SYM
ejpam-6163	258	2	b	b	X
ejpam-6163	258	3	in	in	ADP
ejpam-6163	258	4	at	at	ADP
ejpam-6163	258	5	most	most	ADJ
ejpam-6163	258	6	n	n	ADP
ejpam-6163	258	7	iterations	iteration	NOUN
ejpam-6163	258	8	,	,	PUNCT
ejpam-6163	258	9	and	and	CCONJ
ejpam-6163	258	10	hence	hence	ADV
ejpam-6163	258	11	the	the	DET
ejpam-6163	258	12	hybrid	hybrid	ADJ
ejpam-6163	258	13	multi	multi	ADJ
ejpam-6163	258	14	-	-	ADJ
ejpam-6163	258	15	agent	agent	ADJ
ejpam-6163	258	16	system	system	NOUN
ejpam-6163	258	17	reaches	reach	VERB
ejpam-6163	258	18	scaled	scale	VERB
ejpam-6163	258	19	consensus	consensus	NOUN
ejpam-6163	258	20	in	in	ADP
ejpam-6163	258	21	finite	finite	ADJ
ejpam-6163	258	22	time	time	NOUN
ejpam-6163	258	23	.	.	PUNCT
ejpam-6163	259	1	proof	proof	NOUN
ejpam-6163	259	2	.	.	PUNCT
ejpam-6163	260	1	(	(	PUNCT
ejpam-6163	260	2	sufficiency	sufficiency	NOUN
ejpam-6163	260	3	)	)	PUNCT
ejpam-6163	260	4	to	to	PART
ejpam-6163	260	5	establish	establish	VERB
ejpam-6163	260	6	finite	finite	ADJ
ejpam-6163	260	7	-	-	PUNCT
ejpam-6163	260	8	time	time	NOUN
ejpam-6163	260	9	convergence	convergence	NOUN
ejpam-6163	260	10	to	to	ADP
ejpam-6163	260	11	scaled	scale	VERB
ejpam-6163	260	12	consensus	consensus	NOUN
ejpam-6163	260	13	,	,	PUNCT
ejpam-6163	260	14	we	we	PRON
ejpam-6163	260	15	reformulate	reformulate	VERB
ejpam-6163	260	16	the	the	DET
ejpam-6163	260	17	hybrid	hybrid	NOUN
ejpam-6163	260	18	system	system	NOUN
ejpam-6163	260	19	(	(	PUNCT
ejpam-6163	260	20	2.1	2.1	NUM
ejpam-6163	260	21	)	)	PUNCT
ejpam-6163	260	22	under	under	ADP
ejpam-6163	260	23	protocol	protocol	NOUN
ejpam-6163	260	24	(	(	PUNCT
ejpam-6163	260	25	3.5	3.5	NUM
ejpam-6163	260	26	)	)	PUNCT
ejpam-6163	260	27	in	in	ADP
ejpam-6163	260	28	a	a	DET
ejpam-6163	260	29	linear	linear	ADJ
ejpam-6163	260	30	framework	framework	NOUN
ejpam-6163	260	31	.	.	PUNCT
ejpam-6163	261	1	let	let	VERB
ejpam-6163	261	2	βi	βi	PRON
ejpam-6163	261	3	̸=	̸=	PROPN
ejpam-6163	261	4	0	0	PUNCT
ejpam-6163	261	5	and	and	CCONJ
ejpam-6163	261	6	define	define	VERB
ejpam-6163	261	7	yi(t	yi(t	NOUN
ejpam-6163	261	8	)	)	PUNCT
ejpam-6163	262	1	=	=	SYM
ejpam-6163	262	2	βixi(t	βixi(t	PROPN
ejpam-6163	262	3	)	)	PUNCT
ejpam-6163	262	4	.	.	PUNCT
ejpam-6163	263	1	then	then	ADV
ejpam-6163	263	2	,	,	PUNCT
ejpam-6163	263	3	the	the	DET
ejpam-6163	263	4	dynamics	dynamic	NOUN
ejpam-6163	263	5	under	under	ADP
ejpam-6163	263	6	protocol	protocol	NOUN
ejpam-6163	263	7	(	(	PUNCT
ejpam-6163	263	8	3.5	3.5	NUM
ejpam-6163	263	9	)	)	PUNCT
ejpam-6163	263	10	yield	yield	NOUN
ejpam-6163	263	11	ẏi(t	ẏi(t	NOUN
ejpam-6163	263	12	)	)	PUNCT
ejpam-6163	263	13	=	=	SYM
ejpam-6163	264	1	∑	∑	PUNCT
ejpam-6163	264	2	j∈ni	j∈ni	PROPN
ejpam-6163	264	3	aij	aij	PROPN
ejpam-6163	265	1	[	[	X
ejpam-6163	265	2	yj(tk)−	yj(tk)−	NOUN
ejpam-6163	265	3	yi(t	yi(t	NOUN
ejpam-6163	265	4	)	)	PUNCT
ejpam-6163	265	5	]	]	PUNCT
ejpam-6163	265	6	,	,	PUNCT
ejpam-6163	265	7	t	t	PROPN
ejpam-6163	265	8	∈	∈	PROPN
ejpam-6163	265	9	(	(	PUNCT
ejpam-6163	265	10	tk	tk	PROPN
ejpam-6163	265	11	,	,	PUNCT
ejpam-6163	265	12	tk+1	tk+1	PROPN
ejpam-6163	265	13	]	]	PUNCT
ejpam-6163	265	14	,	,	PUNCT
ejpam-6163	265	15	i	i	PRON
ejpam-6163	265	16	∈	∈	VERB
ejpam-6163	266	1	i	i	PRON
ejpam-6163	266	2	m	m	VERB
ejpam-6163	266	3	,	,	PUNCT
ejpam-6163	266	4	with	with	ADP
ejpam-6163	266	5	the	the	DET
ejpam-6163	266	6	solution	solution	NOUN
ejpam-6163	266	7	at	at	ADP
ejpam-6163	266	8	tk+1	tk+1	NOUN
ejpam-6163	266	9	given	give	VERB
ejpam-6163	266	10	by	by	ADP
ejpam-6163	266	11	yi(tk+1	yi(tk+1	NOUN
ejpam-6163	266	12	)	)	PUNCT
ejpam-6163	266	13	=	=	PUNCT
ejpam-6163	266	14	yi(tk)e	yi(tk)e	NOUN
ejpam-6163	266	15	−	−	PROPN
ejpam-6163	266	16	∑	∑	PUNCT
ejpam-6163	266	17	j	j	PROPN
ejpam-6163	266	18	aijh	aijh	VERB
ejpam-6163	266	19	+	+	CCONJ
ejpam-6163	266	20	(	(	PUNCT
ejpam-6163	266	21	1−	1−	NUM
ejpam-6163	266	22	e−	e−	PROPN
ejpam-6163	266	23	∑	∑	PUNCT
ejpam-6163	266	24	j	j	PROPN
ejpam-6163	266	25	aijh	aijh	VERB
ejpam-6163	266	26	)	)	PUNCT
ejpam-6163	266	27	·	·	PUNCT
ejpam-6163	267	1	∑	∑	PUNCT
ejpam-6163	267	2	j	j	PROPN
ejpam-6163	267	3	aijyj(tk)∑	aijyj(tk)∑	PROPN
ejpam-6163	267	4	j	j	PROPN
ejpam-6163	267	5	aij	aij	PROPN
ejpam-6163	267	6	.	.	PUNCT
ejpam-6163	268	1	for	for	ADP
ejpam-6163	268	2	i	i	PROPN
ejpam-6163	268	3	∈	∈	PROPN
ejpam-6163	268	4	in	in	ADP
ejpam-6163	268	5	\	\	PROPN
ejpam-6163	268	6	i	i	PRON
ejpam-6163	268	7	m	m	VERB
ejpam-6163	268	8	(	(	PUNCT
ejpam-6163	268	9	discrete	discrete	ADJ
ejpam-6163	268	10	-	-	PUNCT
ejpam-6163	268	11	time	time	NOUN
ejpam-6163	268	12	agents	agent	NOUN
ejpam-6163	268	13	)	)	PUNCT
ejpam-6163	268	14	,	,	PUNCT
ejpam-6163	268	15	the	the	DET
ejpam-6163	268	16	update	update	NOUN
ejpam-6163	268	17	is	be	AUX
ejpam-6163	268	18	yi(tk+1	yi(tk+1	NOUN
ejpam-6163	268	19	)	)	PUNCT
ejpam-6163	268	20	=	=	SYM
ejpam-6163	268	21	yi(tk	yi(tk	PROPN
ejpam-6163	268	22	)	)	PUNCT
ejpam-6163	269	1	+	+	NUM
ejpam-6163	269	2	h	h	NOUN
ejpam-6163	269	3	∑	∑	PROPN
ejpam-6163	269	4	j∈ni	j∈ni	PROPN
ejpam-6163	269	5	aij	aij	PROPN
ejpam-6163	269	6	[	[	X
ejpam-6163	269	7	yj(tk)−	yj(tk)−	PROPN
ejpam-6163	269	8	yi(tk	yi(tk	NOUN
ejpam-6163	269	9	)	)	PUNCT
ejpam-6163	269	10	]	]	PUNCT
ejpam-6163	269	11	.	.	PUNCT
ejpam-6163	270	1	by	by	ADP
ejpam-6163	270	2	defining	define	VERB
ejpam-6163	270	3	y(tk	y(tk	NOUN
ejpam-6163	270	4	)	)	PUNCT
ejpam-6163	270	5	=	=	SYM
ejpam-6163	270	6	(	(	PUNCT
ejpam-6163	270	7	y1(tk	y1(tk	PROPN
ejpam-6163	270	8	)	)	PUNCT
ejpam-6163	270	9	,	,	PUNCT
ejpam-6163	270	10	.	.	PUNCT
ejpam-6163	270	11	.	.	PUNCT
ejpam-6163	270	12	.	.	PUNCT
ejpam-6163	271	1	,	,	PUNCT
ejpam-6163	271	2	yn	yn	PROPN
ejpam-6163	271	3	(	(	PUNCT
ejpam-6163	271	4	tk	tk	PROPN
ejpam-6163	271	5	)	)	PUNCT
ejpam-6163	271	6	)	)	PUNCT
ejpam-6163	271	7	t	t	PROPN
ejpam-6163	271	8	and	and	CCONJ
ejpam-6163	271	9	|b|	|b|	PROPN
ejpam-6163	271	10	=	=	PUNCT
ejpam-6163	271	11	diag(|β1|	diag(|β1|	PROPN
ejpam-6163	271	12	,	,	PUNCT
ejpam-6163	271	13	.	.	PUNCT
ejpam-6163	271	14	.	.	PUNCT
ejpam-6163	272	1	.	.	PUNCT
ejpam-6163	273	1	,	,	PUNCT
ejpam-6163	273	2	|βn	|βn	X
ejpam-6163	273	3	|	|	NOUN
ejpam-6163	273	4	)	)	PUNCT
ejpam-6163	273	5	,	,	PUNCT
ejpam-6163	273	6	the	the	DET
ejpam-6163	273	7	global	global	ADJ
ejpam-6163	273	8	update	update	NOUN
ejpam-6163	273	9	becomes	become	VERB
ejpam-6163	273	10	y(tk+1	y(tk+1	NOUN
ejpam-6163	273	11	)	)	PUNCT
ejpam-6163	273	12	=	=	PUNCT
ejpam-6163	274	1	[	[	X
ejpam-6163	274	2	i	i	PRON
ejpam-6163	274	3	−h|b|l]y(tk	−h|b|l]y(tk	VERB
ejpam-6163	274	4	)	)	PUNCT
ejpam-6163	274	5	,	,	PUNCT
ejpam-6163	274	6	where	where	SCONJ
ejpam-6163	274	7	l	l	NOUN
ejpam-6163	274	8	is	be	AUX
ejpam-6163	274	9	the	the	DET
ejpam-6163	274	10	laplacian	laplacian	NOUN
ejpam-6163	274	11	of	of	ADP
ejpam-6163	274	12	g	g	PROPN
ejpam-6163	274	13	,	,	PUNCT
ejpam-6163	274	14	and	and	CCONJ
ejpam-6163	274	15	h	h	NOUN
ejpam-6163	274	16	=	=	SYM
ejpam-6163	274	17	diag(h1	diag(h1	PROPN
ejpam-6163	274	18	,	,	PUNCT
ejpam-6163	274	19	.	.	PUNCT
ejpam-6163	274	20	.	.	PUNCT
ejpam-6163	275	1	.	.	PUNCT
ejpam-6163	276	1	,	,	PUNCT
ejpam-6163	276	2	hn	hn	PROPN
ejpam-6163	276	3	)	)	PUNCT
ejpam-6163	276	4	is	be	AUX
ejpam-6163	276	5	a	a	DET
ejpam-6163	276	6	diagonal	diagonal	ADJ
ejpam-6163	276	7	matrix	matrix	NOUN
ejpam-6163	276	8	with	with	ADP
ejpam-6163	276	9	entries	entry	NOUN
ejpam-6163	276	10	hi	hi	INTJ
ejpam-6163	277	1	=	=	SYM
ejpam-6163	277	2			NOUN
ejpam-6163	277	3	1−	1−	NUM
ejpam-6163	278	1	e−	e−	PROPN
ejpam-6163	278	2	∑	∑	PROPN
ejpam-6163	278	3	j	j	PROPN
ejpam-6163	278	4	aij	aij	PROPN
ejpam-6163	278	5	|βi|h∑	|βi|h∑	PROPN
ejpam-6163	278	6	j	j	PROPN
ejpam-6163	278	7	aij	aij	PROPN
ejpam-6163	278	8	|βi|	|βi|	PROPN
ejpam-6163	278	9	,	,	PUNCT
ejpam-6163	278	10	i	i	PRON
ejpam-6163	278	11	∈	∈	VERB
ejpam-6163	279	1	i	i	PRON
ejpam-6163	279	2	m	m	VERB
ejpam-6163	279	3	,	,	PUNCT
ejpam-6163	279	4	h	h	INTJ
ejpam-6163	279	5	,	,	PUNCT
ejpam-6163	279	6	i	i	PRON
ejpam-6163	279	7	∈	∈	VERB
ejpam-6163	279	8	in	in	ADP
ejpam-6163	279	9	\	\	PROPN
ejpam-6163	280	1	i	i	PRON
ejpam-6163	280	2	m	m	VERB
ejpam-6163	280	3	.	.	PUNCT
ejpam-6163	281	1	by	by	ADP
ejpam-6163	281	2	assuming	assume	VERB
ejpam-6163	281	3	0	0	NUM
ejpam-6163	281	4	<	<	X
ejpam-6163	281	5	h	h	X
ejpam-6163	281	6	<	<	X
ejpam-6163	281	7	1	1	NUM
ejpam-6163	281	8	d̄maxβmax	d̄maxβmax	NOUN
ejpam-6163	281	9	and	and	CCONJ
ejpam-6163	281	10	that	that	SCONJ
ejpam-6163	281	11	g	g	PROPN
ejpam-6163	281	12	contains	contain	VERB
ejpam-6163	281	13	a	a	DET
ejpam-6163	281	14	spanning	span	VERB
ejpam-6163	281	15	tree	tree	NOUN
ejpam-6163	281	16	,	,	PUNCT
ejpam-6163	281	17	lemma	lemma	PROPN
ejpam-6163	281	18	3	3	NUM
ejpam-6163	281	19	guarantees	guarantee	VERB
ejpam-6163	281	20	that	that	SCONJ
ejpam-6163	281	21	the	the	DET
ejpam-6163	281	22	system	system	NOUN
ejpam-6163	281	23	reaches	reach	VERB
ejpam-6163	281	24	asymptotic	asymptotic	ADJ
ejpam-6163	281	25	scaled	scale	VERB
ejpam-6163	281	26	consensus	consensus	NOUN
ejpam-6163	281	27	:	:	PUNCT
ejpam-6163	282	1	lim	lim	PROPN
ejpam-6163	282	2	k→∞	k→∞	PROPN
ejpam-6163	282	3	y(k	y(k	PROPN
ejpam-6163	282	4	)	)	PUNCT
ejpam-6163	282	5	=	=	VERB
ejpam-6163	282	6	y∗	y∗	PROPN
ejpam-6163	282	7	·	·	PUNCT
ejpam-6163	282	8	1	1	NUM
ejpam-6163	282	9	,	,	PUNCT
ejpam-6163	282	10	with	with	ADP
ejpam-6163	282	11	h|b|ly∗	h|b|ly∗	NOUN
ejpam-6163	282	12	=	=	SYM
ejpam-6163	282	13	0	0	X
ejpam-6163	282	14	.	.	PUNCT
ejpam-6163	282	15	m.	m.	NOUN
ejpam-6163	282	16	donganont	donganont	PROPN
ejpam-6163	282	17	,	,	PUNCT
ejpam-6163	282	18	s.	s.	PROPN
ejpam-6163	282	19	intawichai	intawichai	PROPN
ejpam-6163	282	20	,	,	PUNCT
ejpam-6163	282	21	s.	s.	PROPN
ejpam-6163	282	22	phongchan	phongchan	PROPN
ejpam-6163	282	23	/	/	SYM
ejpam-6163	282	24	eur	eur	PROPN
ejpam-6163	282	25	.	.	PUNCT
ejpam-6163	283	1	j.	j.	PROPN
ejpam-6163	283	2	pure	pure	PROPN
ejpam-6163	283	3	appl	appl	PROPN
ejpam-6163	283	4	.	.	PROPN
ejpam-6163	283	5	math	math	PROPN
ejpam-6163	283	6	,	,	PUNCT
ejpam-6163	283	7	18	18	NUM
ejpam-6163	283	8	(	(	PUNCT
ejpam-6163	283	9	2	2	NUM
ejpam-6163	283	10	)	)	PUNCT
ejpam-6163	283	11	(	(	PUNCT
ejpam-6163	283	12	2025	2025	NUM
ejpam-6163	283	13	)	)	PUNCT
ejpam-6163	283	14	,	,	PUNCT
ejpam-6163	283	15	6163	6163	NUM
ejpam-6163	283	16	12	12	NUM
ejpam-6163	283	17	of	of	ADP
ejpam-6163	283	18	20	20	NUM
ejpam-6163	283	19	to	to	PART
ejpam-6163	283	20	enforce	enforce	VERB
ejpam-6163	283	21	finite	finite	ADJ
ejpam-6163	283	22	-	-	PUNCT
ejpam-6163	283	23	time	time	NOUN
ejpam-6163	283	24	convergence	convergence	NOUN
ejpam-6163	283	25	,	,	PUNCT
ejpam-6163	283	26	we	we	PRON
ejpam-6163	283	27	define	define	VERB
ejpam-6163	283	28	the	the	DET
ejpam-6163	283	29	linear	linear	ADJ
ejpam-6163	283	30	system	system	NOUN
ejpam-6163	283	31	cy∗	cy∗	NOUN
ejpam-6163	284	1	=	=	SYM
ejpam-6163	285	1	b	b	PROPN
ejpam-6163	285	2	,	,	PUNCT
ejpam-6163	285	3	where	where	SCONJ
ejpam-6163	285	4	c	c	NOUN
ejpam-6163	285	5	=	=	SYM
ejpam-6163	285	6	ρi	ρi	PROPN
ejpam-6163	285	7	+	+	NOUN
ejpam-6163	285	8	h|b|l	h|b|l	PROPN
ejpam-6163	285	9	,	,	PUNCT
ejpam-6163	285	10	b	b	NOUN
ejpam-6163	285	11	=	=	PUNCT
ejpam-6163	285	12	ρy∗	ρy∗	PROPN
ejpam-6163	285	13	,	,	PUNCT
ejpam-6163	285	14	0	0	PUNCT
ejpam-6163	285	15	<	<	X
ejpam-6163	285	16	ρ	ρ	X
ejpam-6163	285	17	<	<	X
ejpam-6163	285	18	1	1	NUM
ejpam-6163	285	19	.	.	PUNCT
ejpam-6163	286	1	here	here	ADV
ejpam-6163	286	2	,	,	PUNCT
ejpam-6163	286	3	c	c	PROPN
ejpam-6163	286	4	is	be	AUX
ejpam-6163	286	5	symmetric	symmetric	ADJ
ejpam-6163	286	6	and	and	CCONJ
ejpam-6163	286	7	positive	positive	ADJ
ejpam-6163	286	8	definite	definite	NOUN
ejpam-6163	286	9	.	.	PUNCT
ejpam-6163	287	1	by	by	ADP
ejpam-6163	287	2	applying	apply	VERB
ejpam-6163	287	3	the	the	DET
ejpam-6163	287	4	conjugate	conjugate	ADJ
ejpam-6163	287	5	gradient	gradient	NOUN
ejpam-6163	287	6	method	method	NOUN
ejpam-6163	287	7	(	(	PUNCT
ejpam-6163	287	8	cgm	cgm	PROPN
ejpam-6163	287	9	)	)	PUNCT
ejpam-6163	287	10	,	,	PUNCT
ejpam-6163	287	11	the	the	DET
ejpam-6163	287	12	solution	solution	NOUN
ejpam-6163	287	13	is	be	AUX
ejpam-6163	287	14	updated	update	VERB
ejpam-6163	287	15	as	as	ADP
ejpam-6163	287	16	y(k	y(k	PROPN
ejpam-6163	287	17	)	)	PUNCT
ejpam-6163	288	1	=	=	SYM
ejpam-6163	288	2	y(k	y(k	PROPN
ejpam-6163	288	3	−	−	PROPN
ejpam-6163	288	4	1	1	NUM
ejpam-6163	288	5	)	)	PUNCT
ejpam-6163	288	6	+	+	CCONJ
ejpam-6163	288	7	tkpk	tkpk	ADJ
ejpam-6163	288	8	,	,	PUNCT
ejpam-6163	288	9	tk	tk	NOUN
ejpam-6163	288	10	=	=	SYM
ejpam-6163	288	11	(	(	PUNCT
ejpam-6163	288	12	rk−1	rk−1	PROPN
ejpam-6163	288	13	,	,	PUNCT
ejpam-6163	288	14	pk	pk	NOUN
ejpam-6163	288	15	)	)	PUNCT
ejpam-6163	288	16	(	(	PUNCT
ejpam-6163	288	17	cpk	cpk	PROPN
ejpam-6163	288	18	,	,	PUNCT
ejpam-6163	288	19	pk	pk	NOUN
ejpam-6163	288	20	)	)	PUNCT
ejpam-6163	288	21	,	,	PUNCT
ejpam-6163	288	22	where	where	SCONJ
ejpam-6163	288	23	rk−1	rk−1	ADJ
ejpam-6163	288	24	=	=	SYM
ejpam-6163	288	25	b−	b−	PROPN
ejpam-6163	288	26	cy(k	cy(k	NOUN
ejpam-6163	288	27	−	−	PROPN
ejpam-6163	288	28	1	1	NUM
ejpam-6163	288	29	)	)	PUNCT
ejpam-6163	288	30	and	and	CCONJ
ejpam-6163	288	31	pk	pk	NOUN
ejpam-6163	288	32	are	be	AUX
ejpam-6163	288	33	c	c	NOUN
ejpam-6163	288	34	-	-	PUNCT
ejpam-6163	288	35	conjugate	conjugate	ADJ
ejpam-6163	288	36	directions	direction	NOUN
ejpam-6163	288	37	updated	update	VERB
ejpam-6163	288	38	via	via	ADP
ejpam-6163	288	39	pk	pk	NOUN
ejpam-6163	288	40	=	=	PUNCT
ejpam-6163	288	41	rk	rk	NOUN
ejpam-6163	289	1	+	+	CCONJ
ejpam-6163	289	2	βkpk−1	βkpk−1	ADJ
ejpam-6163	289	3	,	,	PUNCT
ejpam-6163	289	4	βk	βk	ADP
ejpam-6163	289	5	=	=	PUNCT
ejpam-6163	289	6	(	(	PUNCT
ejpam-6163	289	7	rk	rk	NOUN
ejpam-6163	289	8	,	,	PUNCT
ejpam-6163	289	9	rk	rk	NOUN
ejpam-6163	289	10	)	)	PUNCT
ejpam-6163	289	11	(	(	PUNCT
ejpam-6163	289	12	rk−1	rk−1	PROPN
ejpam-6163	289	13	,	,	PUNCT
ejpam-6163	289	14	rk−1	rk−1	NOUN
ejpam-6163	289	15	)	)	PUNCT
ejpam-6163	289	16	.	.	PUNCT
ejpam-6163	290	1	by	by	ADP
ejpam-6163	290	2	lemma	lemma	PROPN
ejpam-6163	290	3	1	1	NUM
ejpam-6163	290	4	,	,	PUNCT
ejpam-6163	290	5	the	the	DET
ejpam-6163	290	6	cgm	cgm	PROPN
ejpam-6163	290	7	converges	converge	VERB
ejpam-6163	290	8	to	to	ADP
ejpam-6163	290	9	the	the	DET
ejpam-6163	290	10	exact	exact	ADJ
ejpam-6163	290	11	solution	solution	NOUN
ejpam-6163	290	12	y∗	y∗	ADV
ejpam-6163	290	13	in	in	ADP
ejpam-6163	290	14	at	at	ADP
ejpam-6163	290	15	most	most	ADJ
ejpam-6163	290	16	n	n	PRON
ejpam-6163	290	17	steps	step	NOUN
ejpam-6163	290	18	.	.	PUNCT
ejpam-6163	291	1	thus	thus	ADV
ejpam-6163	291	2	,	,	PUNCT
ejpam-6163	291	3	the	the	DET
ejpam-6163	291	4	hybrid	hybrid	ADJ
ejpam-6163	291	5	system	system	NOUN
ejpam-6163	291	6	achieves	achieve	VERB
ejpam-6163	291	7	scaled	scale	VERB
ejpam-6163	291	8	consensus	consensus	NOUN
ejpam-6163	291	9	in	in	ADP
ejpam-6163	291	10	finite	finite	ADJ
ejpam-6163	291	11	time	time	NOUN
ejpam-6163	291	12	.	.	PUNCT
ejpam-6163	292	1	(	(	PUNCT
ejpam-6163	292	2	necessity	necessity	NOUN
ejpam-6163	292	3	)	)	PUNCT
ejpam-6163	292	4	if	if	SCONJ
ejpam-6163	292	5	g	g	PROPN
ejpam-6163	292	6	does	do	AUX
ejpam-6163	292	7	not	not	PART
ejpam-6163	292	8	contain	contain	VERB
ejpam-6163	292	9	a	a	DET
ejpam-6163	292	10	spanning	span	VERB
ejpam-6163	292	11	tree	tree	NOUN
ejpam-6163	292	12	,	,	PUNCT
ejpam-6163	292	13	then	then	ADV
ejpam-6163	292	14	l	l	NOUN
ejpam-6163	292	15	has	have	VERB
ejpam-6163	292	16	multiple	multiple	ADJ
ejpam-6163	292	17	zero	zero	NUM
ejpam-6163	292	18	eigenvalues	eigenvalue	NOUN
ejpam-6163	292	19	,	,	PUNCT
ejpam-6163	292	20	and	and	CCONJ
ejpam-6163	292	21	[	[	X
ejpam-6163	292	22	i	i	PROPN
ejpam-6163	292	23	−h|b|l	−h|b|l	PROPN
ejpam-6163	292	24	]	]	PUNCT
ejpam-6163	292	25	does	do	AUX
ejpam-6163	292	26	not	not	PART
ejpam-6163	292	27	converge	converge	VERB
ejpam-6163	292	28	to	to	ADP
ejpam-6163	292	29	a	a	DET
ejpam-6163	292	30	rank	rank	NOUN
ejpam-6163	292	31	-	-	PUNCT
ejpam-6163	292	32	one	one	NUM
ejpam-6163	292	33	projection	projection	NOUN
ejpam-6163	292	34	matrix	matrix	NOUN
ejpam-6163	292	35	.	.	PUNCT
ejpam-6163	293	1	hence	hence	ADV
ejpam-6163	293	2	,	,	PUNCT
ejpam-6163	293	3	lim	lim	PROPN
ejpam-6163	293	4	k→∞	k→∞	PROPN
ejpam-6163	293	5	∥βixi(tk)−	∥βixi(tk)−	PROPN
ejpam-6163	293	6	βjxj(tk)∥	βjxj(tk)∥	NOUN
ejpam-6163	294	1	=	=	SYM
ejpam-6163	294	2	̸	̸	NUM
ejpam-6163	294	3	0	0	NUM
ejpam-6163	294	4	,	,	PUNCT
ejpam-6163	294	5	for	for	ADP
ejpam-6163	294	6	some	some	DET
ejpam-6163	294	7	i	i	PROPN
ejpam-6163	294	8	,	,	PUNCT
ejpam-6163	294	9	j	j	PROPN
ejpam-6163	294	10	,	,	PUNCT
ejpam-6163	294	11	implying	imply	VERB
ejpam-6163	294	12	that	that	SCONJ
ejpam-6163	294	13	finite	finite	ADJ
ejpam-6163	294	14	-	-	PUNCT
ejpam-6163	294	15	time	time	NOUN
ejpam-6163	294	16	scaled	scale	VERB
ejpam-6163	294	17	consensus	consensus	NOUN
ejpam-6163	294	18	can	can	AUX
ejpam-6163	294	19	not	not	PART
ejpam-6163	294	20	be	be	AUX
ejpam-6163	294	21	achieved	achieve	VERB
ejpam-6163	294	22	.	.	PUNCT
ejpam-6163	295	1	corollary	corollary	ADJ
ejpam-6163	295	2	2	2	NUM
ejpam-6163	295	3	.	.	PUNCT
ejpam-6163	296	1	let	let	VERB
ejpam-6163	296	2	g	g	PRON
ejpam-6163	296	3	be	be	AUX
ejpam-6163	296	4	a	a	DET
ejpam-6163	296	5	directed	direct	VERB
ejpam-6163	296	6	and	and	CCONJ
ejpam-6163	296	7	connected	connected	ADJ
ejpam-6163	296	8	communication	communication	NOUN
ejpam-6163	296	9	network	network	NOUN
ejpam-6163	296	10	associated	associate	VERB
ejpam-6163	296	11	with	with	ADP
ejpam-6163	296	12	the	the	DET
ejpam-6163	296	13	hybrid	hybrid	ADJ
ejpam-6163	296	14	multi	multi	ADJ
ejpam-6163	296	15	-	-	ADJ
ejpam-6163	296	16	agent	agent	ADJ
ejpam-6163	296	17	system	system	NOUN
ejpam-6163	296	18	(	(	PUNCT
ejpam-6163	296	19	2.1	2.1	NUM
ejpam-6163	296	20	)	)	PUNCT
ejpam-6163	296	21	,	,	PUNCT
ejpam-6163	296	22	and	and	CCONJ
ejpam-6163	296	23	assume	assume	VERB
ejpam-6163	296	24	that	that	SCONJ
ejpam-6163	296	25	βi	βi	PRON
ejpam-6163	296	26	=	=	SYM
ejpam-6163	296	27	1	1	NUM
ejpam-6163	296	28	for	for	ADP
ejpam-6163	296	29	all	all	PRON
ejpam-6163	296	30	i	i	PRON
ejpam-6163	296	31	∈	∈	VERB
ejpam-6163	296	32	in	in	ADP
ejpam-6163	296	33	.	.	PUNCT
ejpam-6163	297	1	suppose	suppose	VERB
ejpam-6163	297	2	the	the	DET
ejpam-6163	297	3	state	state	NOUN
ejpam-6163	297	4	update	update	NOUN
ejpam-6163	297	5	follows	follow	VERB
ejpam-6163	297	6	the	the	DET
ejpam-6163	297	7	hybrid	hybrid	NOUN
ejpam-6163	297	8	control	control	NOUN
ejpam-6163	297	9	protocol:	protocol:	VERB
ejpam-6163	297	10	ui(t	ui(t	NOUN
ejpam-6163	297	11	)	)	PUNCT
ejpam-6163	298	1	=	=	PUNCT
ejpam-6163	298	2	∑	∑	PUNCT
ejpam-6163	298	3	j∈ni	j∈ni	PROPN
ejpam-6163	298	4	aij	aij	PROPN
ejpam-6163	299	1	[	[	X
ejpam-6163	299	2	xj(tk)−	xj(tk)−	PROPN
ejpam-6163	299	3	xi(t	xi(t	PROPN
ejpam-6163	299	4	)	)	PUNCT
ejpam-6163	299	5	]	]	PUNCT
ejpam-6163	299	6	,	,	PUNCT
ejpam-6163	299	7	for	for	ADP
ejpam-6163	299	8	t	t	PROPN
ejpam-6163	299	9	∈	∈	PROPN
ejpam-6163	299	10	(	(	PUNCT
ejpam-6163	299	11	tk	tk	PROPN
ejpam-6163	299	12	,	,	PUNCT
ejpam-6163	299	13	tk+1	tk+1	PROPN
ejpam-6163	299	14	]	]	PUNCT
ejpam-6163	299	15	,	,	PUNCT
ejpam-6163	299	16	i	i	PRON
ejpam-6163	299	17	∈	∈	VERB
ejpam-6163	300	1	i	i	PRON
ejpam-6163	300	2	m	m	VERB
ejpam-6163	300	3	,	,	PUNCT
ejpam-6163	300	4	ui(tk	ui(tk	PROPN
ejpam-6163	300	5	)	)	PUNCT
ejpam-6163	300	6	=	=	SYM
ejpam-6163	301	1	h	h	NOUN
ejpam-6163	301	2	·	·	PUNCT
ejpam-6163	301	3	∑	∑	PROPN
ejpam-6163	301	4	j∈ni	j∈ni	PROPN
ejpam-6163	301	5	aij	aij	PROPN
ejpam-6163	301	6	[	[	X
ejpam-6163	301	7	xj(tk)−	xj(tk)−	PROPN
ejpam-6163	301	8	xi(tk	xi(tk	PROPN
ejpam-6163	301	9	)	)	PUNCT
ejpam-6163	302	1	]	]	PUNCT
ejpam-6163	302	2	,	,	PUNCT
ejpam-6163	302	3	for	for	ADP
ejpam-6163	302	4	i	i	PRON
ejpam-6163	302	5	∈	∈	PROPN
ejpam-6163	302	6	in	in	ADP
ejpam-6163	302	7	\	\	PROPN
ejpam-6163	302	8	i	i	PRON
ejpam-6163	302	9	m	m	VERB
ejpam-6163	302	10	.	.	PUNCT
ejpam-6163	303	1	define	define	VERB
ejpam-6163	303	2	the	the	DET
ejpam-6163	303	3	consensus	consensus	NOUN
ejpam-6163	303	4	variable	variable	NOUN
ejpam-6163	303	5	y(t	y(t	PROPN
ejpam-6163	303	6	)	)	PUNCT
ejpam-6163	304	1	=	=	SYM
ejpam-6163	304	2	x(t	x(t	PROPN
ejpam-6163	304	3	)	)	PUNCT
ejpam-6163	304	4	and	and	CCONJ
ejpam-6163	304	5	suppose	suppose	VERB
ejpam-6163	304	6	the	the	DET
ejpam-6163	304	7	sampling	sampling	NOUN
ejpam-6163	304	8	gain	gain	NOUN
ejpam-6163	304	9	satisfies	satisfy	VERB
ejpam-6163	304	10	0	0	PUNCT
ejpam-6163	304	11	<	<	X
ejpam-6163	304	12	h	h	X
ejpam-6163	304	13	<	<	X
ejpam-6163	304	14	1	1	NUM
ejpam-6163	304	15	d̄max	d̄max	NOUN
ejpam-6163	304	16	,	,	PUNCT
ejpam-6163	304	17	where	where	SCONJ
ejpam-6163	304	18	d̄max	d̄max	VERB
ejpam-6163	304	19	=	=	SYM
ejpam-6163	304	20	maxi	maxi	ADJ
ejpam-6163	304	21	∑n	∑n	PROPN
ejpam-6163	304	22	j=1	j=1	PROPN
ejpam-6163	304	23	aij	aij	PROPN
ejpam-6163	304	24	.	.	PROPN
ejpam-6163	305	1	then	then	ADV
ejpam-6163	305	2	,	,	PUNCT
ejpam-6163	305	3	under	under	ADP
ejpam-6163	305	4	the	the	DET
ejpam-6163	305	5	discrete	discrete	ADJ
ejpam-6163	305	6	-	-	PUNCT
ejpam-6163	305	7	time	time	NOUN
ejpam-6163	305	8	conjugate	conjugate	ADJ
ejpam-6163	305	9	gradient	gradient	NOUN
ejpam-6163	305	10	update	update	NOUN
ejpam-6163	305	11	:	:	PUNCT
ejpam-6163	305	12	y(k	y(k	NUM
ejpam-6163	305	13	)	)	PUNCT
ejpam-6163	306	1	=	=	SYM
ejpam-6163	306	2	y(k	y(k	PROPN
ejpam-6163	306	3	−	−	PROPN
ejpam-6163	306	4	1	1	NUM
ejpam-6163	306	5	)	)	PUNCT
ejpam-6163	306	6	+	+	CCONJ
ejpam-6163	306	7	tkpk	tkpk	ADJ
ejpam-6163	306	8	,	,	PUNCT
ejpam-6163	306	9	tk	tk	NOUN
ejpam-6163	306	10	=	=	SYM
ejpam-6163	306	11	(	(	PUNCT
ejpam-6163	306	12	b−	b−	PROPN
ejpam-6163	306	13	cy(k−1	cy(k−1	PROPN
ejpam-6163	306	14	)	)	PUNCT
ejpam-6163	306	15	,	,	PUNCT
ejpam-6163	306	16	pk	pk	NOUN
ejpam-6163	306	17	)	)	PUNCT
ejpam-6163	306	18	(	(	PUNCT
ejpam-6163	306	19	cpk	cpk	PROPN
ejpam-6163	306	20	,	,	PUNCT
ejpam-6163	306	21	pk	pk	NOUN
ejpam-6163	306	22	)	)	PUNCT
ejpam-6163	306	23	,	,	PUNCT
ejpam-6163	307	1	k	k	X
ejpam-6163	307	2	=	=	SYM
ejpam-6163	307	3	1	1	NUM
ejpam-6163	307	4	,	,	PUNCT
ejpam-6163	307	5	2	2	NUM
ejpam-6163	307	6	,	,	PUNCT
ejpam-6163	307	7	.	.	PUNCT
ejpam-6163	307	8	.	.	PUNCT
ejpam-6163	308	1	.	.	PUNCT
ejpam-6163	309	1	,	,	PUNCT
ejpam-6163	309	2	n	n	CCONJ
ejpam-6163	309	3	,	,	PUNCT
ejpam-6163	309	4	with	with	ADP
ejpam-6163	309	5	c	c	NOUN
ejpam-6163	309	6	=	=	SYM
ejpam-6163	309	7	ρi	ρi	PROPN
ejpam-6163	309	8	+	+	CCONJ
ejpam-6163	309	9	hl	hl	PROPN
ejpam-6163	309	10	,	,	PUNCT
ejpam-6163	309	11	b	b	X
ejpam-6163	309	12	=	=	PUNCT
ejpam-6163	309	13	ρy∗	ρy∗	PROPN
ejpam-6163	309	14	,	,	PUNCT
ejpam-6163	309	15	and	and	CCONJ
ejpam-6163	309	16	ρ	ρ	PROPN
ejpam-6163	309	17	∈	∈	PROPN
ejpam-6163	309	18	(	(	PUNCT
ejpam-6163	309	19	0	0	NUM
ejpam-6163	309	20	,	,	PUNCT
ejpam-6163	309	21	1	1	NUM
ejpam-6163	309	22	)	)	PUNCT
ejpam-6163	309	23	,	,	PUNCT
ejpam-6163	309	24	the	the	DET
ejpam-6163	309	25	hybrid	hybrid	ADJ
ejpam-6163	309	26	multi	multi	ADJ
ejpam-6163	309	27	-	-	ADJ
ejpam-6163	309	28	agent	agent	ADJ
ejpam-6163	309	29	system	system	NOUN
ejpam-6163	309	30	achieves	achieve	VERB
ejpam-6163	309	31	consensus	consensus	NOUN
ejpam-6163	309	32	in	in	ADP
ejpam-6163	309	33	finite	finite	ADJ
ejpam-6163	309	34	time	time	NOUN
ejpam-6163	309	35	n	n	CCONJ
ejpam-6163	309	36	if	if	SCONJ
ejpam-6163	310	1	and	and	CCONJ
ejpam-6163	310	2	only	only	ADV
ejpam-6163	310	3	if	if	SCONJ
ejpam-6163	310	4	g	g	PROPN
ejpam-6163	310	5	contains	contain	VERB
ejpam-6163	310	6	a	a	DET
ejpam-6163	310	7	directed	directed	ADJ
ejpam-6163	310	8	spanning	span	VERB
ejpam-6163	310	9	tree	tree	NOUN
ejpam-6163	310	10	.	.	PUNCT
ejpam-6163	311	1	m.	m.	NOUN
ejpam-6163	311	2	donganont	donganont	PROPN
ejpam-6163	311	3	,	,	PUNCT
ejpam-6163	311	4	s.	s.	PROPN
ejpam-6163	311	5	intawichai	intawichai	PROPN
ejpam-6163	311	6	,	,	PUNCT
ejpam-6163	311	7	s.	s.	PROPN
ejpam-6163	311	8	phongchan	phongchan	PROPN
ejpam-6163	311	9	/	/	SYM
ejpam-6163	311	10	eur	eur	PROPN
ejpam-6163	311	11	.	.	PUNCT
ejpam-6163	312	1	j.	j.	PROPN
ejpam-6163	312	2	pure	pure	PROPN
ejpam-6163	312	3	appl	appl	PROPN
ejpam-6163	312	4	.	.	PROPN
ejpam-6163	312	5	math	math	PROPN
ejpam-6163	312	6	,	,	PUNCT
ejpam-6163	312	7	18	18	NUM
ejpam-6163	312	8	(	(	PUNCT
ejpam-6163	312	9	2	2	NUM
ejpam-6163	312	10	)	)	PUNCT
ejpam-6163	312	11	(	(	PUNCT
ejpam-6163	312	12	2025	2025	NUM
ejpam-6163	312	13	)	)	PUNCT
ejpam-6163	312	14	,	,	PUNCT
ejpam-6163	312	15	6163	6163	NUM
ejpam-6163	312	16	13	13	NUM
ejpam-6163	312	17	of	of	ADP
ejpam-6163	312	18	20	20	NUM
ejpam-6163	312	19	proof	proof	NOUN
ejpam-6163	312	20	.	.	PUNCT
ejpam-6163	313	1	(	(	PUNCT
ejpam-6163	313	2	sufficiency	sufficiency	NOUN
ejpam-6163	313	3	)	)	PUNCT
ejpam-6163	313	4	by	by	ADP
ejpam-6163	313	5	assuming	assume	VERB
ejpam-6163	313	6	βi	βi	PRON
ejpam-6163	313	7	=	=	SYM
ejpam-6163	313	8	1	1	NUM
ejpam-6163	313	9	for	for	ADP
ejpam-6163	313	10	all	all	PRON
ejpam-6163	313	11	i	i	PRON
ejpam-6163	313	12	∈	∈	VERB
ejpam-6163	313	13	in	in	ADP
ejpam-6163	313	14	,	,	PUNCT
ejpam-6163	313	15	the	the	DET
ejpam-6163	313	16	scaled	scale	VERB
ejpam-6163	313	17	state	state	NOUN
ejpam-6163	313	18	reduces	reduce	VERB
ejpam-6163	313	19	to	to	ADP
ejpam-6163	313	20	y(t	y(t	NUM
ejpam-6163	313	21	)	)	PUNCT
ejpam-6163	314	1	=	=	SYM
ejpam-6163	314	2	x(t	x(t	PROPN
ejpam-6163	314	3	)	)	PUNCT
ejpam-6163	314	4	.	.	PUNCT
ejpam-6163	315	1	under	under	ADP
ejpam-6163	315	2	protocol	protocol	NOUN
ejpam-6163	315	3	(	(	PUNCT
ejpam-6163	315	4	3.5	3.5	NUM
ejpam-6163	315	5	)	)	PUNCT
ejpam-6163	315	6	,	,	PUNCT
ejpam-6163	315	7	the	the	DET
ejpam-6163	315	8	hybrid	hybrid	ADJ
ejpam-6163	315	9	dynamics	dynamic	NOUN
ejpam-6163	315	10	simplify	simplify	VERB
ejpam-6163	315	11	to	to	ADP
ejpam-6163	315	12	{	{	PUNCT
ejpam-6163	315	13	ẋi(t	ẋi(t	PUNCT
ejpam-6163	315	14	)	)	PUNCT
ejpam-6163	316	1	=	=	SYM
ejpam-6163	316	2	∑	∑	PUNCT
ejpam-6163	316	3	j∈ni	j∈ni	PROPN
ejpam-6163	316	4	aij	aij	PROPN
ejpam-6163	317	1	[	[	X
ejpam-6163	317	2	xj(tk)−	xj(tk)−	PROPN
ejpam-6163	317	3	xi(t	xi(t	PROPN
ejpam-6163	317	4	)	)	PUNCT
ejpam-6163	317	5	]	]	PUNCT
ejpam-6163	317	6	,	,	PUNCT
ejpam-6163	317	7	i	i	PRON
ejpam-6163	317	8	∈	∈	VERB
ejpam-6163	318	1	i	i	PRON
ejpam-6163	318	2	m	m	VERB
ejpam-6163	318	3	,	,	PUNCT
ejpam-6163	318	4	xi(tk+1	xi(tk+1	ADJ
ejpam-6163	318	5	)	)	PUNCT
ejpam-6163	318	6	=	=	SYM
ejpam-6163	318	7	xi(tk	xi(tk	PROPN
ejpam-6163	318	8	)	)	PUNCT
ejpam-6163	319	1	+	+	NUM
ejpam-6163	319	2	h	h	NOUN
ejpam-6163	319	3	∑	∑	PROPN
ejpam-6163	319	4	j∈ni	j∈ni	PROPN
ejpam-6163	319	5	aij	aij	PROPN
ejpam-6163	320	1	[	[	X
ejpam-6163	320	2	xj(tk)−	xj(tk)−	PROPN
ejpam-6163	320	3	xi(tk	xi(tk	PROPN
ejpam-6163	320	4	)	)	PUNCT
ejpam-6163	320	5	]	]	PUNCT
ejpam-6163	320	6	,	,	PUNCT
ejpam-6163	320	7	i	i	PRON
ejpam-6163	320	8	∈	∈	VERB
ejpam-6163	320	9	in	in	ADP
ejpam-6163	320	10	\	\	PROPN
ejpam-6163	321	1	i	i	PRON
ejpam-6163	321	2	m	m	VERB
ejpam-6163	321	3	.	.	PUNCT
ejpam-6163	322	1	solving	solve	VERB
ejpam-6163	322	2	the	the	DET
ejpam-6163	322	3	continuous	continuous	ADJ
ejpam-6163	322	4	-	-	PUNCT
ejpam-6163	322	5	time	time	NOUN
ejpam-6163	322	6	dynamics	dynamic	NOUN
ejpam-6163	322	7	yields	yield	VERB
ejpam-6163	322	8	xi(tk+1	xi(tk+1	NOUN
ejpam-6163	322	9	)	)	PUNCT
ejpam-6163	322	10	=	=	SYM
ejpam-6163	322	11	xi(tk)e	xi(tk)e	PRON
ejpam-6163	322	12	−dih	−dih	NOUN
ejpam-6163	322	13	+	+	CCONJ
ejpam-6163	322	14	(	(	PUNCT
ejpam-6163	322	15	1−	1−	NUM
ejpam-6163	322	16	e−dih	e−dih	NOUN
ejpam-6163	322	17	)	)	PUNCT
ejpam-6163	322	18	·	·	PUNCT
ejpam-6163	323	1	∑	∑	PUNCT
ejpam-6163	323	2	j	j	PROPN
ejpam-6163	323	3	aijxj(tk	aijxj(tk	PROPN
ejpam-6163	323	4	)	)	PUNCT
ejpam-6163	323	5	di	di	NOUN
ejpam-6163	323	6	,	,	PUNCT
ejpam-6163	323	7	for	for	ADP
ejpam-6163	323	8	i	i	PRON
ejpam-6163	323	9	∈	∈	PROPN
ejpam-6163	324	1	i	i	PRON
ejpam-6163	324	2	m	m	VERB
ejpam-6163	324	3	,	,	PUNCT
ejpam-6163	324	4	where	where	SCONJ
ejpam-6163	324	5	di	di	X
ejpam-6163	324	6	=	=	PUNCT
ejpam-6163	324	7	∑	∑	PROPN
ejpam-6163	324	8	j	j	PROPN
ejpam-6163	324	9	aij	aij	PROPN
ejpam-6163	324	10	.	.	PUNCT
ejpam-6163	325	1	this	this	PRON
ejpam-6163	325	2	leads	lead	VERB
ejpam-6163	325	3	to	to	ADP
ejpam-6163	325	4	the	the	DET
ejpam-6163	325	5	global	global	ADJ
ejpam-6163	325	6	update	update	NOUN
ejpam-6163	325	7	y(tk+1	y(tk+1	NOUN
ejpam-6163	325	8	)	)	PUNCT
ejpam-6163	325	9	=	=	PUNCT
ejpam-6163	326	1	[	[	X
ejpam-6163	326	2	i	i	PRON
ejpam-6163	326	3	−hl]y(tk	−hl]y(tk	PROPN
ejpam-6163	326	4	)	)	PUNCT
ejpam-6163	326	5	,	,	PUNCT
ejpam-6163	326	6	where	where	SCONJ
ejpam-6163	326	7	l	l	NOUN
ejpam-6163	326	8	is	be	AUX
ejpam-6163	326	9	the	the	DET
ejpam-6163	326	10	laplacian	laplacian	ADJ
ejpam-6163	326	11	matrix	matrix	NOUN
ejpam-6163	326	12	of	of	ADP
ejpam-6163	326	13	g	g	NOUN
ejpam-6163	326	14	,	,	PUNCT
ejpam-6163	326	15	and	and	CCONJ
ejpam-6163	326	16	h	h	NOUN
ejpam-6163	326	17	=	=	SYM
ejpam-6163	326	18	diag(h1	diag(h1	PROPN
ejpam-6163	326	19	,	,	PUNCT
ejpam-6163	326	20	.	.	PUNCT
ejpam-6163	326	21	.	.	PUNCT
ejpam-6163	327	1	.	.	PUNCT
ejpam-6163	328	1	,	,	PUNCT
ejpam-6163	328	2	hn	hn	PROPN
ejpam-6163	328	3	)	)	PUNCT
ejpam-6163	328	4	with	with	ADP
ejpam-6163	328	5	hi	hi	NOUN
ejpam-6163	328	6	=	=	SYM
ejpam-6163	328	7			PROPN
ejpam-6163	328	8	1−	1−	NUM
ejpam-6163	328	9	e−dih	e−dih	NOUN
ejpam-6163	328	10	di	di	NOUN
ejpam-6163	328	11	,	,	PUNCT
ejpam-6163	328	12	i	i	PRON
ejpam-6163	328	13	∈	∈	VERB
ejpam-6163	329	1	i	i	PRON
ejpam-6163	329	2	m	m	VERB
ejpam-6163	329	3	,	,	PUNCT
ejpam-6163	329	4	h	h	INTJ
ejpam-6163	329	5	,	,	PUNCT
ejpam-6163	329	6	i	i	PRON
ejpam-6163	329	7	∈	∈	VERB
ejpam-6163	329	8	in	in	ADP
ejpam-6163	329	9	\	\	PROPN
ejpam-6163	330	1	i	i	PRON
ejpam-6163	330	2	m	m	VERB
ejpam-6163	330	3	.	.	PUNCT
ejpam-6163	331	1	if	if	SCONJ
ejpam-6163	331	2	0	0	NUM
ejpam-6163	331	3	<	<	X
ejpam-6163	331	4	h	h	X
ejpam-6163	331	5	<	<	X
ejpam-6163	331	6	1	1	NUM
ejpam-6163	331	7	d̄max	d̄max	NOUN
ejpam-6163	331	8	and	and	CCONJ
ejpam-6163	331	9	g	g	PROPN
ejpam-6163	331	10	contains	contain	VERB
ejpam-6163	331	11	a	a	DET
ejpam-6163	331	12	spanning	span	VERB
ejpam-6163	331	13	tree	tree	NOUN
ejpam-6163	331	14	,	,	PUNCT
ejpam-6163	331	15	then	then	ADV
ejpam-6163	331	16	by	by	ADP
ejpam-6163	331	17	lemma	lemma	PROPN
ejpam-6163	331	18	3	3	NUM
ejpam-6163	331	19	,	,	PUNCT
ejpam-6163	331	20	the	the	DET
ejpam-6163	331	21	system	system	NOUN
ejpam-6163	331	22	asymptotically	asymptotically	ADV
ejpam-6163	331	23	reaches	reach	VERB
ejpam-6163	331	24	consensus	consensus	NOUN
ejpam-6163	331	25	lim	lim	PROPN
ejpam-6163	331	26	k→∞	k→∞	PROPN
ejpam-6163	331	27	y(k	y(k	PROPN
ejpam-6163	331	28	)	)	PUNCT
ejpam-6163	331	29	=	=	PUNCT
ejpam-6163	332	1	x∗	x∗	X
ejpam-6163	332	2	·	·	PUNCT
ejpam-6163	332	3	1	1	X
ejpam-6163	332	4	,	,	PUNCT
ejpam-6163	332	5	with	with	ADP
ejpam-6163	332	6	lx∗	lx∗	NOUN
ejpam-6163	332	7	=	=	NOUN
ejpam-6163	332	8	0	0	X
ejpam-6163	332	9	.	.	PUNCT
ejpam-6163	332	10	to	to	PART
ejpam-6163	332	11	achieve	achieve	VERB
ejpam-6163	332	12	convergence	convergence	NOUN
ejpam-6163	332	13	in	in	ADP
ejpam-6163	332	14	finite	finite	ADJ
ejpam-6163	332	15	time	time	NOUN
ejpam-6163	332	16	,	,	PUNCT
ejpam-6163	332	17	we	we	PRON
ejpam-6163	332	18	define	define	VERB
ejpam-6163	332	19	the	the	DET
ejpam-6163	332	20	system	system	NOUN
ejpam-6163	332	21	cy∗	cy∗	NOUN
ejpam-6163	332	22	=	=	SYM
ejpam-6163	332	23	b	b	PROPN
ejpam-6163	332	24	,	,	PUNCT
ejpam-6163	332	25	with	with	ADP
ejpam-6163	332	26	c	c	NOUN
ejpam-6163	332	27	=	=	SYM
ejpam-6163	332	28	ρi	ρi	PROPN
ejpam-6163	332	29	+	+	PROPN
ejpam-6163	332	30	hl	hl	NOUN
ejpam-6163	332	31	,	,	PUNCT
ejpam-6163	332	32	b	b	NOUN
ejpam-6163	332	33	=	=	SYM
ejpam-6163	332	34	ρx∗	ρx∗	X
ejpam-6163	332	35	,	,	PUNCT
ejpam-6163	332	36	0	0	NUM
ejpam-6163	332	37	<	<	X
ejpam-6163	332	38	ρ	ρ	X
ejpam-6163	332	39	<	<	X
ejpam-6163	332	40	1	1	NUM
ejpam-6163	332	41	.	.	PUNCT
ejpam-6163	333	1	since	since	SCONJ
ejpam-6163	333	2	c	c	PROPN
ejpam-6163	333	3	is	be	AUX
ejpam-6163	333	4	symmetric	symmetric	ADJ
ejpam-6163	333	5	and	and	CCONJ
ejpam-6163	333	6	positive	positive	ADJ
ejpam-6163	333	7	definite	definite	ADJ
ejpam-6163	333	8	,	,	PUNCT
ejpam-6163	333	9	the	the	DET
ejpam-6163	333	10	conjugate	conjugate	ADJ
ejpam-6163	333	11	gradient	gradient	NOUN
ejpam-6163	333	12	method	method	NOUN
ejpam-6163	333	13	(	(	PUNCT
ejpam-6163	333	14	cgm	cgm	PROPN
ejpam-6163	333	15	)	)	PUNCT
ejpam-6163	333	16	applies	apply	VERB
ejpam-6163	333	17	.	.	PUNCT
ejpam-6163	334	1	starting	start	VERB
ejpam-6163	334	2	from	from	ADP
ejpam-6163	334	3	y(0	y(0	PROPN
ejpam-6163	334	4	)	)	PUNCT
ejpam-6163	334	5	,	,	PUNCT
ejpam-6163	334	6	the	the	DET
ejpam-6163	334	7	update	update	NOUN
ejpam-6163	334	8	y(k	y(k	NOUN
ejpam-6163	334	9	)	)	PUNCT
ejpam-6163	335	1	=	=	SYM
ejpam-6163	335	2	y(k	y(k	PROPN
ejpam-6163	335	3	−	−	PROPN
ejpam-6163	335	4	1	1	NUM
ejpam-6163	335	5	)	)	PUNCT
ejpam-6163	335	6	+	+	CCONJ
ejpam-6163	335	7	tkpk	tkpk	ADJ
ejpam-6163	335	8	,	,	PUNCT
ejpam-6163	335	9	tk	tk	NOUN
ejpam-6163	335	10	=	=	SYM
ejpam-6163	335	11	(	(	PUNCT
ejpam-6163	335	12	b−	b−	PROPN
ejpam-6163	335	13	cy(k−1	cy(k−1	PROPN
ejpam-6163	335	14	)	)	PUNCT
ejpam-6163	335	15	,	,	PUNCT
ejpam-6163	335	16	pk	pk	NOUN
ejpam-6163	335	17	)	)	PUNCT
ejpam-6163	335	18	(	(	PUNCT
ejpam-6163	335	19	cpk	cpk	PROPN
ejpam-6163	335	20	,	,	PUNCT
ejpam-6163	335	21	pk	pk	NOUN
ejpam-6163	335	22	)	)	PUNCT
ejpam-6163	335	23	,	,	PUNCT
ejpam-6163	335	24	with	with	ADP
ejpam-6163	335	25	c	c	NOUN
ejpam-6163	335	26	-	-	PUNCT
ejpam-6163	335	27	conjugate	conjugate	ADJ
ejpam-6163	335	28	directions	direction	NOUN
ejpam-6163	335	29	pk	pk	NOUN
ejpam-6163	335	30	and	and	CCONJ
ejpam-6163	335	31	residuals	residual	VERB
ejpam-6163	335	32	rk	rk	NOUN
ejpam-6163	335	33	=	=	SYM
ejpam-6163	335	34	b	b	PROPN
ejpam-6163	335	35	−	−	PROPN
ejpam-6163	335	36	cy(k	cy(k	NOUN
ejpam-6163	335	37	)	)	PUNCT
ejpam-6163	335	38	,	,	PUNCT
ejpam-6163	335	39	converges	converge	VERB
ejpam-6163	335	40	to	to	ADP
ejpam-6163	335	41	x∗	x∗	PROPN
ejpam-6163	335	42	in	in	ADP
ejpam-6163	335	43	at	at	ADP
ejpam-6163	335	44	most	most	ADJ
ejpam-6163	335	45	n	n	PRON
ejpam-6163	335	46	iterations	iteration	NOUN
ejpam-6163	335	47	by	by	ADP
ejpam-6163	335	48	lemma	lemma	PROPN
ejpam-6163	335	49	1	1	NUM
ejpam-6163	335	50	.	.	PUNCT
ejpam-6163	336	1	hence	hence	ADV
ejpam-6163	336	2	,	,	PUNCT
ejpam-6163	336	3	the	the	DET
ejpam-6163	336	4	system	system	NOUN
ejpam-6163	336	5	reaches	reach	VERB
ejpam-6163	336	6	consensus	consensus	NOUN
ejpam-6163	336	7	in	in	ADP
ejpam-6163	336	8	finite	finite	ADJ
ejpam-6163	336	9	time	time	NOUN
ejpam-6163	336	10	.	.	PUNCT
ejpam-6163	337	1	(	(	PUNCT
ejpam-6163	337	2	necessity	necessity	NOUN
ejpam-6163	337	3	)	)	PUNCT
ejpam-6163	337	4	if	if	SCONJ
ejpam-6163	337	5	g	g	PROPN
ejpam-6163	337	6	lacks	lack	VERB
ejpam-6163	337	7	a	a	DET
ejpam-6163	337	8	directed	directed	ADJ
ejpam-6163	337	9	spanning	span	VERB
ejpam-6163	337	10	tree	tree	NOUN
ejpam-6163	337	11	,	,	PUNCT
ejpam-6163	337	12	then	then	ADV
ejpam-6163	337	13	l	l	NOUN
ejpam-6163	337	14	has	have	VERB
ejpam-6163	337	15	more	more	ADJ
ejpam-6163	337	16	than	than	ADP
ejpam-6163	337	17	one	one	NUM
ejpam-6163	337	18	zero	zero	NUM
ejpam-6163	337	19	eigenvalue	eigenvalue	NOUN
ejpam-6163	337	20	,	,	PUNCT
ejpam-6163	337	21	and	and	CCONJ
ejpam-6163	337	22	[	[	X
ejpam-6163	337	23	i	i	PRON
ejpam-6163	337	24	−hl	−hl	X
ejpam-6163	337	25	]	]	X
ejpam-6163	337	26	can	can	AUX
ejpam-6163	337	27	not	not	PART
ejpam-6163	337	28	drive	drive	VERB
ejpam-6163	337	29	all	all	DET
ejpam-6163	337	30	agent	agent	NOUN
ejpam-6163	337	31	states	state	NOUN
ejpam-6163	337	32	to	to	AUX
ejpam-6163	337	33	consensus	consensus	VERB
ejpam-6163	337	34	.	.	PUNCT
ejpam-6163	338	1	consequently	consequently	ADV
ejpam-6163	338	2	,	,	PUNCT
ejpam-6163	338	3	cgm	cgm	PROPN
ejpam-6163	338	4	can	can	AUX
ejpam-6163	338	5	not	not	PART
ejpam-6163	338	6	converge	converge	VERB
ejpam-6163	338	7	to	to	ADP
ejpam-6163	338	8	a	a	DET
ejpam-6163	338	9	common	common	ADJ
ejpam-6163	338	10	value	value	NOUN
ejpam-6163	338	11	,	,	PUNCT
ejpam-6163	338	12	and	and	CCONJ
ejpam-6163	338	13	finite	finite	ADJ
ejpam-6163	338	14	-	-	PUNCT
ejpam-6163	338	15	time	time	NOUN
ejpam-6163	338	16	consensus	consensus	NOUN
ejpam-6163	338	17	is	be	AUX
ejpam-6163	338	18	not	not	PART
ejpam-6163	338	19	achievable	achievable	ADJ
ejpam-6163	338	20	.	.	PUNCT
ejpam-6163	339	1	remark	remark	NOUN
ejpam-6163	339	2	3	3	NUM
ejpam-6163	339	3	.	.	PUNCT
ejpam-6163	340	1	the	the	DET
ejpam-6163	340	2	hybrid	hybrid	ADJ
ejpam-6163	340	3	consensus	consensus	NOUN
ejpam-6163	340	4	protocols	protocol	NOUN
ejpam-6163	340	5	designed	design	VERB
ejpam-6163	340	6	in	in	ADP
ejpam-6163	340	7	cases	case	NOUN
ejpam-6163	340	8	i	i	PRON
ejpam-6163	340	9	and	and	CCONJ
ejpam-6163	340	10	ii	ii	PROPN
ejpam-6163	340	11	differ	differ	VERB
ejpam-6163	340	12	in	in	ADP
ejpam-6163	340	13	terms	term	NOUN
ejpam-6163	340	14	of	of	ADP
ejpam-6163	340	15	real	real	ADJ
ejpam-6163	340	16	-	-	PUNCT
ejpam-6163	340	17	time	time	NOUN
ejpam-6163	340	18	information	information	NOUN
ejpam-6163	340	19	access	access	NOUN
ejpam-6163	340	20	.	.	PUNCT
ejpam-6163	341	1	in	in	ADP
ejpam-6163	341	2	case	case	NOUN
ejpam-6163	341	3	i	i	PRON
ejpam-6163	341	4	,	,	PUNCT
ejpam-6163	341	5	both	both	CCONJ
ejpam-6163	341	6	continuous	continuous	ADJ
ejpam-6163	341	7	-	-	PUNCT
ejpam-6163	341	8	time	time	NOUN
ejpam-6163	341	9	and	and	CCONJ
ejpam-6163	341	10	discrete	discrete	ADJ
ejpam-6163	341	11	-	-	PUNCT
ejpam-6163	341	12	time	time	NOUN
ejpam-6163	341	13	agents	agent	NOUN
ejpam-6163	341	14	rely	rely	VERB
ejpam-6163	341	15	entirely	entirely	ADV
ejpam-6163	341	16	on	on	ADP
ejpam-6163	341	17	sampled	sample	VERB
ejpam-6163	341	18	data	datum	NOUN
ejpam-6163	341	19	,	,	PUNCT
ejpam-6163	341	20	resulting	result	VERB
ejpam-6163	341	21	in	in	ADP
ejpam-6163	341	22	a	a	DET
ejpam-6163	341	23	uniform	uniform	ADJ
ejpam-6163	341	24	discrete	discrete	ADJ
ejpam-6163	341	25	update	update	NOUN
ejpam-6163	341	26	structure	structure	NOUN
ejpam-6163	341	27	.	.	PUNCT
ejpam-6163	342	1	in	in	ADP
ejpam-6163	342	2	contrast	contrast	NOUN
ejpam-6163	342	3	,	,	PUNCT
ejpam-6163	342	4	case	case	NOUN
ejpam-6163	342	5	ii	ii	NOUN
ejpam-6163	342	6	leverages	leverage	VERB
ejpam-6163	342	7	the	the	DET
ejpam-6163	342	8	ability	ability	NOUN
ejpam-6163	342	9	of	of	ADP
ejpam-6163	342	10	continuous	continuous	ADJ
ejpam-6163	342	11	-	-	PUNCT
ejpam-6163	342	12	time	time	NOUN
ejpam-6163	342	13	agents	agent	NOUN
ejpam-6163	342	14	to	to	PART
ejpam-6163	342	15	observe	observe	VERB
ejpam-6163	342	16	their	their	PRON
ejpam-6163	342	17	own	own	ADJ
ejpam-6163	342	18	states	state	NOUN
ejpam-6163	342	19	in	in	ADP
ejpam-6163	342	20	real	real	ADJ
ejpam-6163	342	21	time	time	NOUN
ejpam-6163	342	22	,	,	PUNCT
ejpam-6163	342	23	leading	lead	VERB
ejpam-6163	342	24	to	to	ADP
ejpam-6163	342	25	an	an	DET
ejpam-6163	342	26	inherently	inherently	ADV
ejpam-6163	342	27	more	more	ADV
ejpam-6163	342	28	accurate	accurate	ADJ
ejpam-6163	342	29	and	and	CCONJ
ejpam-6163	342	30	responsive	responsive	ADJ
ejpam-6163	342	31	dynamic	dynamic	ADJ
ejpam-6163	342	32	.	.	PUNCT
ejpam-6163	343	1	this	this	DET
ejpam-6163	343	2	difference	difference	NOUN
ejpam-6163	343	3	enhances	enhance	VERB
ejpam-6163	343	4	convergence	convergence	NOUN
ejpam-6163	343	5	behavior	behavior	NOUN
ejpam-6163	343	6	and	and	CCONJ
ejpam-6163	343	7	may	may	AUX
ejpam-6163	343	8	reduce	reduce	VERB
ejpam-6163	343	9	sensitivity	sensitivity	NOUN
ejpam-6163	343	10	to	to	ADP
ejpam-6163	343	11	sampling	sample	VERB
ejpam-6163	343	12	frequency	frequency	NOUN
ejpam-6163	343	13	in	in	ADP
ejpam-6163	343	14	case	case	NOUN
ejpam-6163	343	15	ii	ii	PROPN
ejpam-6163	343	16	.	.	PUNCT
ejpam-6163	343	17	m.	m.	PROPN
ejpam-6163	343	18	donganont	donganont	PROPN
ejpam-6163	343	19	,	,	PUNCT
ejpam-6163	343	20	s.	s.	PROPN
ejpam-6163	343	21	intawichai	intawichai	PROPN
ejpam-6163	343	22	,	,	PUNCT
ejpam-6163	343	23	s.	s.	PROPN
ejpam-6163	343	24	phongchan	phongchan	PROPN
ejpam-6163	343	25	/	/	SYM
ejpam-6163	343	26	eur	eur	PROPN
ejpam-6163	343	27	.	.	PUNCT
ejpam-6163	344	1	j.	j.	PROPN
ejpam-6163	344	2	pure	pure	PROPN
ejpam-6163	344	3	appl	appl	PROPN
ejpam-6163	344	4	.	.	PROPN
ejpam-6163	344	5	math	math	PROPN
ejpam-6163	344	6	,	,	PUNCT
ejpam-6163	344	7	18	18	NUM
ejpam-6163	344	8	(	(	PUNCT
ejpam-6163	344	9	2	2	NUM
ejpam-6163	344	10	)	)	PUNCT
ejpam-6163	344	11	(	(	PUNCT
ejpam-6163	344	12	2025	2025	NUM
ejpam-6163	344	13	)	)	PUNCT
ejpam-6163	344	14	,	,	PUNCT
ejpam-6163	344	15	6163	6163	NUM
ejpam-6163	344	16	14	14	NUM
ejpam-6163	344	17	of	of	ADP
ejpam-6163	344	18	20	20	NUM
ejpam-6163	344	19	remark	remark	NOUN
ejpam-6163	344	20	4	4	NUM
ejpam-6163	344	21	.	.	PUNCT
ejpam-6163	345	1	the	the	DET
ejpam-6163	345	2	proposed	propose	VERB
ejpam-6163	345	3	conjugate	conjugate	ADJ
ejpam-6163	345	4	gradient	gradient	NOUN
ejpam-6163	345	5	-	-	PUNCT
ejpam-6163	345	6	based	base	VERB
ejpam-6163	345	7	consensus	consensus	NOUN
ejpam-6163	345	8	algorithm	algorithm	NOUN
ejpam-6163	345	9	ensures	ensure	VERB
ejpam-6163	345	10	finitetime	finitetime	ADJ
ejpam-6163	345	11	convergence	convergence	NOUN
ejpam-6163	345	12	in	in	ADP
ejpam-6163	345	13	at	at	ADP
ejpam-6163	345	14	most	most	ADJ
ejpam-6163	345	15	n	n	PRON
ejpam-6163	345	16	iterations	iteration	NOUN
ejpam-6163	345	17	,	,	PUNCT
ejpam-6163	345	18	where	where	SCONJ
ejpam-6163	345	19	n	n	PRON
ejpam-6163	345	20	is	be	AUX
ejpam-6163	345	21	the	the	DET
ejpam-6163	345	22	number	number	NOUN
ejpam-6163	345	23	of	of	ADP
ejpam-6163	345	24	agents	agent	NOUN
ejpam-6163	345	25	.	.	PUNCT
ejpam-6163	346	1	this	this	PRON
ejpam-6163	346	2	is	be	AUX
ejpam-6163	346	3	a	a	DET
ejpam-6163	346	4	significant	significant	ADJ
ejpam-6163	346	5	improvement	improvement	NOUN
ejpam-6163	346	6	over	over	ADP
ejpam-6163	346	7	traditional	traditional	ADJ
ejpam-6163	346	8	asymptotic	asymptotic	ADJ
ejpam-6163	346	9	methods	method	NOUN
ejpam-6163	346	10	,	,	PUNCT
ejpam-6163	346	11	which	which	PRON
ejpam-6163	346	12	guarantee	guarantee	VERB
ejpam-6163	346	13	only	only	ADV
ejpam-6163	346	14	eventual	eventual	ADJ
ejpam-6163	346	15	convergence	convergence	NOUN
ejpam-6163	346	16	.	.	PUNCT
ejpam-6163	347	1	by	by	ADP
ejpam-6163	347	2	reformulating	reformulate	VERB
ejpam-6163	347	3	the	the	DET
ejpam-6163	347	4	consensus	consensus	NOUN
ejpam-6163	347	5	problem	problem	NOUN
ejpam-6163	347	6	as	as	ADP
ejpam-6163	347	7	a	a	DET
ejpam-6163	347	8	linear	linear	ADJ
ejpam-6163	347	9	system	system	NOUN
ejpam-6163	347	10	and	and	CCONJ
ejpam-6163	347	11	exploiting	exploit	VERB
ejpam-6163	347	12	the	the	DET
ejpam-6163	347	13	properties	property	NOUN
ejpam-6163	347	14	of	of	ADP
ejpam-6163	347	15	cgm	cgm	PROPN
ejpam-6163	347	16	under	under	ADP
ejpam-6163	347	17	a	a	DET
ejpam-6163	347	18	symmetric	symmetric	ADJ
ejpam-6163	347	19	positive	positive	ADJ
ejpam-6163	347	20	definite	definite	ADJ
ejpam-6163	347	21	matrix	matrix	NOUN
ejpam-6163	347	22	,	,	PUNCT
ejpam-6163	347	23	the	the	DET
ejpam-6163	347	24	method	method	NOUN
ejpam-6163	347	25	achieves	achieve	VERB
ejpam-6163	347	26	computational	computational	ADJ
ejpam-6163	347	27	efficiency	efficiency	NOUN
ejpam-6163	347	28	and	and	CCONJ
ejpam-6163	347	29	exact	exact	ADJ
ejpam-6163	347	30	consensus	consensus	NOUN
ejpam-6163	347	31	within	within	ADP
ejpam-6163	347	32	a	a	DET
ejpam-6163	347	33	bounded	bounded	ADJ
ejpam-6163	347	34	time	time	NOUN
ejpam-6163	347	35	frame	frame	NOUN
ejpam-6163	347	36	.	.	PUNCT
ejpam-6163	348	1	remark	remark	NOUN
ejpam-6163	348	2	5	5	NUM
ejpam-6163	348	3	.	.	PUNCT
ejpam-6163	349	1	unlike	unlike	ADP
ejpam-6163	349	2	classical	classical	ADJ
ejpam-6163	349	3	consensus	consensus	NOUN
ejpam-6163	349	4	protocols	protocol	NOUN
ejpam-6163	349	5	that	that	PRON
ejpam-6163	349	6	assume	assume	VERB
ejpam-6163	349	7	uniform	uniform	ADJ
ejpam-6163	349	8	scaling	scale	VERB
ejpam-6163	349	9	or	or	CCONJ
ejpam-6163	349	10	homogeneous	homogeneous	ADJ
ejpam-6163	349	11	agent	agent	NOUN
ejpam-6163	349	12	dynamics	dynamic	NOUN
ejpam-6163	349	13	,	,	PUNCT
ejpam-6163	349	14	the	the	DET
ejpam-6163	349	15	presented	present	VERB
ejpam-6163	349	16	framework	framework	NOUN
ejpam-6163	349	17	allows	allow	VERB
ejpam-6163	349	18	for	for	ADP
ejpam-6163	349	19	arbitrary	arbitrary	ADJ
ejpam-6163	349	20	scaling	scaling	NOUN
ejpam-6163	349	21	factors	factor	NOUN
ejpam-6163	349	22	βi	βi	ADP
ejpam-6163	349	23	̸=	̸=	NOUN
ejpam-6163	349	24	0	0	NUM
ejpam-6163	349	25	across	across	ADP
ejpam-6163	349	26	agents	agent	NOUN
ejpam-6163	349	27	.	.	PUNCT
ejpam-6163	350	1	this	this	DET
ejpam-6163	350	2	generalization	generalization	NOUN
ejpam-6163	350	3	facilitates	facilitate	VERB
ejpam-6163	350	4	the	the	DET
ejpam-6163	350	5	study	study	NOUN
ejpam-6163	350	6	of	of	ADP
ejpam-6163	350	7	heterogeneous	heterogeneous	ADJ
ejpam-6163	350	8	networks	network	NOUN
ejpam-6163	350	9	and	and	CCONJ
ejpam-6163	350	10	supports	support	VERB
ejpam-6163	350	11	applications	application	NOUN
ejpam-6163	350	12	where	where	SCONJ
ejpam-6163	350	13	agents	agent	NOUN
ejpam-6163	350	14	must	must	AUX
ejpam-6163	350	15	reach	reach	VERB
ejpam-6163	350	16	agreement	agreement	NOUN
ejpam-6163	350	17	up	up	ADP
ejpam-6163	350	18	to	to	ADP
ejpam-6163	350	19	prescribed	prescribed	ADJ
ejpam-6163	350	20	proportions	proportion	NOUN
ejpam-6163	350	21	.	.	PUNCT
ejpam-6163	351	1	the	the	DET
ejpam-6163	351	2	sufficient	sufficient	ADJ
ejpam-6163	351	3	conditions	condition	NOUN
ejpam-6163	351	4	established	establish	VERB
ejpam-6163	351	5	for	for	ADP
ejpam-6163	351	6	convergence	convergence	NOUN
ejpam-6163	351	7	under	under	ADP
ejpam-6163	351	8	hybrid	hybrid	ADJ
ejpam-6163	351	9	protocols	protocol	NOUN
ejpam-6163	351	10	ensure	ensure	VERB
ejpam-6163	351	11	robustness	robustness	NOUN
ejpam-6163	351	12	with	with	ADP
ejpam-6163	351	13	respect	respect	NOUN
ejpam-6163	351	14	to	to	ADP
ejpam-6163	351	15	both	both	DET
ejpam-6163	351	16	graph	graph	NOUN
ejpam-6163	351	17	topology	topology	NOUN
ejpam-6163	351	18	and	and	CCONJ
ejpam-6163	351	19	agent	agent	NOUN
ejpam-6163	351	20	heterogeneity	heterogeneity	NOUN
ejpam-6163	351	21	.	.	PUNCT
ejpam-6163	352	1	4	4	X
ejpam-6163	352	2	.	.	X
ejpam-6163	352	3	numerical	numerical	ADJ
ejpam-6163	352	4	examples	example	NOUN
ejpam-6163	352	5	the	the	DET
ejpam-6163	352	6	following	follow	VERB
ejpam-6163	352	7	examples	example	NOUN
ejpam-6163	352	8	are	be	AUX
ejpam-6163	352	9	presented	present	VERB
ejpam-6163	352	10	to	to	PART
ejpam-6163	352	11	illustrate	illustrate	VERB
ejpam-6163	352	12	the	the	DET
ejpam-6163	352	13	key	key	ADJ
ejpam-6163	352	14	theoretical	theoretical	ADJ
ejpam-6163	352	15	results	result	NOUN
ejpam-6163	352	16	and	and	CCONJ
ejpam-6163	352	17	to	to	PART
ejpam-6163	352	18	provide	provide	VERB
ejpam-6163	352	19	intuitive	intuitive	ADJ
ejpam-6163	352	20	insight	insight	NOUN
ejpam-6163	352	21	into	into	ADP
ejpam-6163	352	22	the	the	DET
ejpam-6163	352	23	dynamics	dynamic	NOUN
ejpam-6163	352	24	of	of	ADP
ejpam-6163	352	25	the	the	DET
ejpam-6163	352	26	proposed	propose	VERB
ejpam-6163	352	27	cgm	cgm	PROPN
ejpam-6163	352	28	-	-	PUNCT
ejpam-6163	352	29	based	base	VERB
ejpam-6163	352	30	consensus	consensus	NOUN
ejpam-6163	352	31	protocol	protocol	NOUN
ejpam-6163	352	32	.	.	PUNCT
ejpam-6163	353	1	example	example	NOUN
ejpam-6163	354	1	1	1	NUM
ejpam-6163	354	2	.	.	X
ejpam-6163	354	3	consider	consider	VERB
ejpam-6163	354	4	a	a	DET
ejpam-6163	354	5	hybrid	hybrid	ADJ
ejpam-6163	354	6	multi	multi	ADJ
ejpam-6163	354	7	-	-	ADJ
ejpam-6163	354	8	agent	agent	ADJ
ejpam-6163	354	9	system	system	NOUN
ejpam-6163	354	10	consisting	consist	VERB
ejpam-6163	354	11	of	of	ADP
ejpam-6163	354	12	n	n	NOUN
ejpam-6163	354	13	=	=	SYM
ejpam-6163	354	14	100	100	NUM
ejpam-6163	354	15	agents	agent	NOUN
ejpam-6163	354	16	(	(	PUNCT
ejpam-6163	354	17	see	see	VERB
ejpam-6163	354	18	figure	figure	NOUN
ejpam-6163	354	19	1	1	NUM
ejpam-6163	354	20	)	)	PUNCT
ejpam-6163	354	21	.	.	PUNCT
ejpam-6163	355	1	the	the	DET
ejpam-6163	355	2	agents	agent	NOUN
ejpam-6163	355	3	are	be	AUX
ejpam-6163	355	4	divided	divide	VERB
ejpam-6163	355	5	into	into	ADP
ejpam-6163	355	6	continuous	continuous	ADJ
ejpam-6163	355	7	-	-	PUNCT
ejpam-6163	355	8	time	time	NOUN
ejpam-6163	355	9	(	(	PUNCT
ejpam-6163	355	10	ct	ct	NOUN
ejpam-6163	355	11	)	)	PUNCT
ejpam-6163	355	12	agents	agent	NOUN
ejpam-6163	355	13	and	and	CCONJ
ejpam-6163	355	14	discrete	discrete	ADJ
ejpam-6163	355	15	-	-	PUNCT
ejpam-6163	355	16	time	time	NOUN
ejpam-6163	355	17	(	(	PUNCT
ejpam-6163	355	18	dt	dt	NOUN
ejpam-6163	355	19	)	)	PUNCT
ejpam-6163	355	20	agents	agent	NOUN
ejpam-6163	355	21	,	,	PUNCT
ejpam-6163	355	22	with	with	ADP
ejpam-6163	355	23	nodes	node	NOUN
ejpam-6163	355	24	i	i	PRON
ejpam-6163	355	25	m	m	VERB
ejpam-6163	355	26	=	=	PUNCT
ejpam-6163	355	27	{	{	PUNCT
ejpam-6163	355	28	1	1	NUM
ejpam-6163	355	29	,	,	PUNCT
ejpam-6163	355	30	2	2	NUM
ejpam-6163	355	31	,	,	PUNCT
ejpam-6163	355	32	.	.	PUNCT
ejpam-6163	355	33	.	.	PUNCT
ejpam-6163	356	1	.	.	PUNCT
ejpam-6163	357	1	,	,	PUNCT
ejpam-6163	357	2	50	50	X
ejpam-6163	357	3	}	}	PUNCT
ejpam-6163	357	4	being	be	AUX
ejpam-6163	357	5	ct	ct	X
ejpam-6163	357	6	agents	agent	NOUN
ejpam-6163	357	7	and	and	CCONJ
ejpam-6163	357	8	the	the	DET
ejpam-6163	357	9	remaining	remain	VERB
ejpam-6163	357	10	in	in	ADP
ejpam-6163	357	11	\im	\im	PROPN
ejpam-6163	357	12	=	=	PUNCT
ejpam-6163	357	13	{	{	PUNCT
ejpam-6163	357	14	51	51	NUM
ejpam-6163	357	15	,	,	PUNCT
ejpam-6163	357	16	52	52	NUM
ejpam-6163	357	17	,	,	PUNCT
ejpam-6163	357	18	.	.	PUNCT
ejpam-6163	357	19	.	.	PUNCT
ejpam-6163	358	1	.	.	PUNCT
ejpam-6163	359	1	,	,	PUNCT
ejpam-6163	359	2	100	100	X
ejpam-6163	359	3	}	}	PUNCT
ejpam-6163	359	4	being	be	AUX
ejpam-6163	359	5	dt	dt	X
ejpam-6163	359	6	agents	agent	NOUN
ejpam-6163	359	7	.	.	PUNCT
ejpam-6163	360	1	each	each	DET
ejpam-6163	360	2	agent	agent	NOUN
ejpam-6163	360	3	is	be	AUX
ejpam-6163	360	4	assigned	assign	VERB
ejpam-6163	360	5	a	a	DET
ejpam-6163	360	6	random	random	ADJ
ejpam-6163	360	7	positive	positive	ADJ
ejpam-6163	360	8	scaling	scaling	NOUN
ejpam-6163	360	9	factor	factor	NOUN
ejpam-6163	360	10	βi	βi	PRON
ejpam-6163	360	11	∈	∈	PROPN
ejpam-6163	360	12	(	(	PUNCT
ejpam-6163	360	13	0.5	0.5	NUM
ejpam-6163	360	14	,	,	PUNCT
ejpam-6163	360	15	1.5	1.5	NUM
ejpam-6163	360	16	)	)	PUNCT
ejpam-6163	360	17	,	,	PUNCT
ejpam-6163	360	18	where	where	SCONJ
ejpam-6163	360	19	βmax	βmax	NOUN
ejpam-6163	360	20	=	=	PROPN
ejpam-6163	360	21	1.458	1.458	NUM
ejpam-6163	360	22	.	.	PUNCT
ejpam-6163	361	1	the	the	DET
ejpam-6163	361	2	initial	initial	ADJ
ejpam-6163	361	3	condition	condition	NOUN
ejpam-6163	361	4	x(0	x(0	PROPN
ejpam-6163	361	5	)	)	PUNCT
ejpam-6163	361	6	∈	∈	PROPN
ejpam-6163	362	1	r100	r100	PROPN
ejpam-6163	362	2	is	be	AUX
ejpam-6163	362	3	sampled	sample	VERB
ejpam-6163	362	4	from	from	ADP
ejpam-6163	362	5	a	a	DET
ejpam-6163	362	6	standard	standard	ADJ
ejpam-6163	362	7	normal	normal	ADJ
ejpam-6163	362	8	distribution	distribution	NOUN
ejpam-6163	362	9	,	,	PUNCT
ejpam-6163	362	10	and	and	CCONJ
ejpam-6163	362	11	the	the	DET
ejpam-6163	362	12	scaled	scale	VERB
ejpam-6163	362	13	state	state	NOUN
ejpam-6163	362	14	is	be	AUX
ejpam-6163	362	15	given	give	VERB
ejpam-6163	362	16	by	by	ADP
ejpam-6163	362	17	y(0	y(0	PROPN
ejpam-6163	362	18	)	)	PUNCT
ejpam-6163	362	19	=	=	SYM
ejpam-6163	362	20	bx(0	bx(0	PROPN
ejpam-6163	362	21	)	)	PUNCT
ejpam-6163	362	22	,	,	PUNCT
ejpam-6163	362	23	where	where	SCONJ
ejpam-6163	362	24	b	b	X
ejpam-6163	362	25	=	=	NOUN
ejpam-6163	362	26	diag(β1	diag(β1	PROPN
ejpam-6163	362	27	,	,	PUNCT
ejpam-6163	362	28	.	.	PUNCT
ejpam-6163	362	29	.	.	PUNCT
ejpam-6163	363	1	.	.	PUNCT
ejpam-6163	364	1	,	,	PUNCT
ejpam-6163	365	1	β100	β100	NUM
ejpam-6163	365	2	)	)	PUNCT
ejpam-6163	365	3	.	.	PUNCT
ejpam-6163	366	1	the	the	DET
ejpam-6163	366	2	communication	communication	NOUN
ejpam-6163	366	3	network	network	NOUN
ejpam-6163	366	4	g	g	PROPN
ejpam-6163	366	5	is	be	AUX
ejpam-6163	366	6	constructed	construct	VERB
ejpam-6163	366	7	using	use	VERB
ejpam-6163	366	8	the	the	DET
ejpam-6163	366	9	barabási	barabási	NOUN
ejpam-6163	366	10	-	-	PUNCT
ejpam-6163	366	11	albert	albert	PROPN
ejpam-6163	366	12	model	model	NOUN
ejpam-6163	366	13	.	.	PUNCT
ejpam-6163	367	1	this	this	DET
ejpam-6163	367	2	type	type	NOUN
ejpam-6163	367	3	of	of	ADP
ejpam-6163	367	4	network	network	NOUN
ejpam-6163	367	5	ensures	ensure	VERB
ejpam-6163	367	6	that	that	SCONJ
ejpam-6163	367	7	a	a	DET
ejpam-6163	367	8	directed	direct	VERB
ejpam-6163	367	9	spanning	span	VERB
ejpam-6163	367	10	tree	tree	NOUN
ejpam-6163	367	11	exists	exist	VERB
ejpam-6163	367	12	,	,	PUNCT
ejpam-6163	367	13	which	which	PRON
ejpam-6163	367	14	is	be	AUX
ejpam-6163	367	15	essential	essential	ADJ
ejpam-6163	367	16	for	for	SCONJ
ejpam-6163	367	17	the	the	DET
ejpam-6163	367	18	convergence	convergence	NOUN
ejpam-6163	367	19	conditions	condition	NOUN
ejpam-6163	367	20	in	in	ADP
ejpam-6163	367	21	theorem	theorem	NOUN
ejpam-6163	367	22	1	1	NUM
ejpam-6163	367	23	to	to	PART
ejpam-6163	367	24	hold	hold	VERB
ejpam-6163	367	25	.	.	PUNCT
ejpam-6163	368	1	the	the	DET
ejpam-6163	368	2	adjacency	adjacency	PROPN
ejpam-6163	368	3	matrix	matrix	NOUN
ejpam-6163	368	4	a	a	DET
ejpam-6163	368	5	∈	∈	PROPN
ejpam-6163	368	6	r100×100	r100×100	NOUN
ejpam-6163	368	7	gives	give	VERB
ejpam-6163	368	8	rise	rise	NOUN
ejpam-6163	368	9	to	to	ADP
ejpam-6163	368	10	a	a	DET
ejpam-6163	368	11	directed	direct	VERB
ejpam-6163	368	12	graph	graph	NOUN
ejpam-6163	368	13	with	with	ADP
ejpam-6163	368	14	a	a	DET
ejpam-6163	368	15	guaranteed	guarantee	VERB
ejpam-6163	368	16	spanning	span	VERB
ejpam-6163	368	17	tree	tree	NOUN
ejpam-6163	368	18	.	.	PUNCT
ejpam-6163	369	1	the	the	DET
ejpam-6163	369	2	laplacian	laplacian	ADJ
ejpam-6163	369	3	matrix	matrix	NOUN
ejpam-6163	369	4	is	be	AUX
ejpam-6163	369	5	then	then	ADV
ejpam-6163	369	6	computed	compute	VERB
ejpam-6163	369	7	as	as	ADP
ejpam-6163	369	8	l	l	NOUN
ejpam-6163	369	9	=	=	PUNCT
ejpam-6163	369	10	d	d	NOUN
ejpam-6163	369	11	−a	−a	NOUN
ejpam-6163	369	12	.	.	PUNCT
ejpam-6163	370	1	the	the	DET
ejpam-6163	370	2	maximum	maximum	ADJ
ejpam-6163	370	3	out	out	ADJ
ejpam-6163	370	4	-	-	PUNCT
ejpam-6163	370	5	degree	degree	NOUN
ejpam-6163	370	6	is	be	AUX
ejpam-6163	370	7	given	give	VERB
ejpam-6163	370	8	by	by	ADP
ejpam-6163	370	9	dmax	dmax	ADJ
ejpam-6163	370	10	=	=	NOUN
ejpam-6163	370	11	maxi	maxi	ADJ
ejpam-6163	370	12	∑	∑	PUNCT
ejpam-6163	370	13	j	j	PROPN
ejpam-6163	370	14	aij	aij	PROPN
ejpam-6163	370	15	=	=	PROPN
ejpam-6163	370	16	9	9	NUM
ejpam-6163	370	17	,	,	PUNCT
ejpam-6163	370	18	and	and	CCONJ
ejpam-6163	370	19	the	the	DET
ejpam-6163	370	20	step	step	NOUN
ejpam-6163	370	21	-	-	PUNCT
ejpam-6163	370	22	size	size	NOUN
ejpam-6163	370	23	matrix	matrix	NOUN
ejpam-6163	370	24	h	h	NOUN
ejpam-6163	370	25	,	,	PUNCT
ejpam-6163	370	26	where	where	SCONJ
ejpam-6163	370	27	the	the	DET
ejpam-6163	370	28	main	main	ADJ
ejpam-6163	370	29	diagonal	diagonal	ADJ
ejpam-6163	370	30	elements	element	NOUN
ejpam-6163	370	31	are	be	AUX
ejpam-6163	370	32	h	h	NOUN
ejpam-6163	370	33	=	=	NOUN
ejpam-6163	370	34	0.01	0.01	NUM
ejpam-6163	370	35	satisfied	satisfy	VERB
ejpam-6163	370	36	the	the	DET
ejpam-6163	370	37	condition	condition	NOUN
ejpam-6163	370	38	0	0	PUNCT
ejpam-6163	371	1	<	<	X
ejpam-6163	371	2	h	h	X
ejpam-6163	371	3	<	<	X
ejpam-6163	371	4	1/(dmaxβmax	1/(dmaxβmax	NUM
ejpam-6163	371	5	)	)	PUNCT
ejpam-6163	371	6	=	=	PUNCT
ejpam-6163	372	1	0.074673	0.074673	NUM
ejpam-6163	372	2	holds	hold	VERB
ejpam-6163	372	3	for	for	ADP
ejpam-6163	372	4	stability	stability	NOUN
ejpam-6163	372	5	.	.	PUNCT
ejpam-6163	373	1	choosing	choose	VERB
ejpam-6163	373	2	ρ	ρ	PROPN
ejpam-6163	373	3	=	=	SYM
ejpam-6163	373	4	0.1	0.1	NUM
ejpam-6163	373	5	and	and	CCONJ
ejpam-6163	373	6	using	use	VERB
ejpam-6163	373	7	the	the	DET
ejpam-6163	373	8	scaled	scale	VERB
ejpam-6163	373	9	cgm	cgm	PROPN
ejpam-6163	373	10	protocol	protocol	NOUN
ejpam-6163	373	11	with	with	ADP
ejpam-6163	373	12	matrix	matrix	NOUN
ejpam-6163	373	13	c	c	NOUN
ejpam-6163	373	14	=	=	SYM
ejpam-6163	373	15	ρi	ρi	PROPN
ejpam-6163	373	16	+	+	CCONJ
ejpam-6163	373	17	h|b|l	h|b|l	PROPN
ejpam-6163	373	18	and	and	CCONJ
ejpam-6163	373	19	b	b	PROPN
ejpam-6163	373	20	=	=	SYM
ejpam-6163	373	21	ρy∗	ρy∗	PROPN
ejpam-6163	373	22	,	,	PUNCT
ejpam-6163	373	23	the	the	DET
ejpam-6163	373	24	system	system	NOUN
ejpam-6163	373	25	converges	converge	VERB
ejpam-6163	373	26	to	to	ADP
ejpam-6163	373	27	a	a	DET
ejpam-6163	373	28	scaled	scale	VERB
ejpam-6163	373	29	consensus	consensus	NOUN
ejpam-6163	373	30	state	state	NOUN
ejpam-6163	373	31	in	in	ADP
ejpam-6163	373	32	at	at	ADP
ejpam-6163	373	33	most	most	ADJ
ejpam-6163	373	34	n	n	PRON
ejpam-6163	373	35	steps	step	NOUN
ejpam-6163	373	36	.	.	PUNCT
ejpam-6163	374	1	the	the	DET
ejpam-6163	374	2	results	result	NOUN
ejpam-6163	374	3	confirm	confirm	VERB
ejpam-6163	374	4	that	that	SCONJ
ejpam-6163	374	5	consensus	consensus	NOUN
ejpam-6163	374	6	is	be	AUX
ejpam-6163	374	7	reached	reach	VERB
ejpam-6163	374	8	in	in	ADP
ejpam-6163	374	9	18	18	NUM
ejpam-6163	374	10	iterations	iteration	NOUN
ejpam-6163	374	11	to	to	ADP
ejpam-6163	374	12	0.0788887	0.0788887	NUM
ejpam-6163	374	13	(	(	PUNCT
ejpam-6163	374	14	see	see	VERB
ejpam-6163	374	15	figure	figure	NOUN
ejpam-6163	374	16	2	2	NUM
ejpam-6163	374	17	)	)	PUNCT
ejpam-6163	374	18	,	,	PUNCT
ejpam-6163	374	19	validating	validate	VERB
ejpam-6163	374	20	the	the	DET
ejpam-6163	374	21	sufficiency	sufficiency	NOUN
ejpam-6163	374	22	of	of	ADP
ejpam-6163	374	23	theorem	theorem	NOUN
ejpam-6163	374	24	1	1	NUM
ejpam-6163	374	25	.	.	PUNCT
ejpam-6163	375	1	however	however	ADV
ejpam-6163	375	2	,	,	PUNCT
ejpam-6163	375	3	if	if	SCONJ
ejpam-6163	375	4	the	the	DET
ejpam-6163	375	5	step	step	NOUN
ejpam-6163	375	6	size	size	NOUN
ejpam-6163	375	7	h	h	NOUN
ejpam-6163	375	8	is	be	AUX
ejpam-6163	375	9	not	not	PART
ejpam-6163	375	10	satisfied	satisfied	ADJ
ejpam-6163	375	11	0	0	PUNCT
ejpam-6163	375	12	<	<	X
ejpam-6163	375	13	h	h	X
ejpam-6163	375	14	<	<	X
ejpam-6163	375	15	1/(dmaxβmax	1/(dmaxβmax	NUM
ejpam-6163	375	16	)	)	PUNCT
ejpam-6163	375	17	,	,	PUNCT
ejpam-6163	375	18	consensus	consensus	NOUN
ejpam-6163	375	19	can	can	AUX
ejpam-6163	375	20	not	not	PART
ejpam-6163	375	21	be	be	AUX
ejpam-6163	375	22	guaranteed	guarantee	VERB
ejpam-6163	375	23	(	(	PUNCT
ejpam-6163	375	24	see	see	VERB
ejpam-6163	375	25	figure	figure	NOUN
ejpam-6163	375	26	3	3	NUM
ejpam-6163	375	27	)	)	PUNCT
ejpam-6163	375	28	.	.	PUNCT
ejpam-6163	376	1	furthermore	furthermore	ADV
ejpam-6163	376	2	,	,	PUNCT
ejpam-6163	376	3	when	when	SCONJ
ejpam-6163	376	4	βi	βi	PROPN
ejpam-6163	376	5	=	=	SYM
ejpam-6163	376	6	1	1	NUM
ejpam-6163	376	7	for	for	ADP
ejpam-6163	376	8	all	all	DET
ejpam-6163	376	9	i	i	PRON
ejpam-6163	376	10	,	,	PUNCT
ejpam-6163	376	11	the	the	DET
ejpam-6163	376	12	evolution	evolution	NOUN
ejpam-6163	376	13	of	of	ADP
ejpam-6163	376	14	agent	agent	NOUN
ejpam-6163	376	15	states	state	NOUN
ejpam-6163	376	16	under	under	ADP
ejpam-6163	376	17	the	the	DET
ejpam-6163	376	18	proposed	propose	VERB
ejpam-6163	376	19	consensus	consensus	NOUN
ejpam-6163	376	20	protocol	protocol	NOUN
ejpam-6163	376	21	(	(	PUNCT
ejpam-6163	376	22	3.1	3.1	NUM
ejpam-6163	376	23	)	)	PUNCT
ejpam-6163	376	24	is	be	AUX
ejpam-6163	376	25	illustrated	illustrate	VERB
ejpam-6163	376	26	in	in	ADP
ejpam-6163	376	27	figure	figure	NOUN
ejpam-6163	376	28	4	4	NUM
ejpam-6163	376	29	.	.	PUNCT
ejpam-6163	377	1	the	the	DET
ejpam-6163	377	2	upper	upper	ADJ
ejpam-6163	377	3	subplot	subplot	NOUN
ejpam-6163	377	4	,	,	PUNCT
ejpam-6163	377	5	corresponding	correspond	VERB
ejpam-6163	377	6	to	to	AUX
ejpam-6163	377	7	theorem	theorem	NOUN
ejpam-6163	377	8	1	1	NUM
ejpam-6163	377	9	with	with	ADP
ejpam-6163	377	10	uniform	uniform	ADJ
ejpam-6163	377	11	scaling	scaling	NOUN
ejpam-6163	377	12	,	,	PUNCT
ejpam-6163	377	13	demonstrates	demonstrate	VERB
ejpam-6163	377	14	that	that	SCONJ
ejpam-6163	377	15	the	the	DET
ejpam-6163	377	16	multi	multi	ADJ
ejpam-6163	377	17	-	-	ADJ
ejpam-6163	377	18	agent	agent	ADJ
ejpam-6163	377	19	system	system	NOUN
ejpam-6163	377	20	achieves	achieve	VERB
ejpam-6163	377	21	consensus	consensus	NOUN
ejpam-6163	377	22	in	in	ADP
ejpam-6163	377	23	only	only	ADV
ejpam-6163	377	24	16	16	NUM
ejpam-6163	377	25	iterations	iteration	NOUN
ejpam-6163	377	26	,	,	PUNCT
ejpam-6163	377	27	confirming	confirm	VERB
ejpam-6163	377	28	the	the	DET
ejpam-6163	377	29	finite	finite	ADJ
ejpam-6163	377	30	-	-	PUNCT
ejpam-6163	377	31	time	time	NOUN
ejpam-6163	377	32	convergence	convergence	NOUN
ejpam-6163	377	33	property	property	NOUN
ejpam-6163	377	34	of	of	ADP
ejpam-6163	377	35	the	the	DET
ejpam-6163	377	36	conjugate	conjugate	ADJ
ejpam-6163	377	37	gradient	gradient	NOUN
ejpam-6163	377	38	-	-	PUNCT
ejpam-6163	377	39	based	base	VERB
ejpam-6163	377	40	protocol	protocol	NOUN
ejpam-6163	377	41	.	.	PUNCT
ejpam-6163	378	1	in	in	ADP
ejpam-6163	378	2	contrast	contrast	NOUN
ejpam-6163	378	3	,	,	PUNCT
ejpam-6163	378	4	the	the	DET
ejpam-6163	378	5	lower	low	ADJ
ejpam-6163	378	6	subplot	subplot	NOUN
ejpam-6163	378	7	m.	m.	NOUN
ejpam-6163	378	8	donganont	donganont	PROPN
ejpam-6163	378	9	,	,	PUNCT
ejpam-6163	378	10	s.	s.	PROPN
ejpam-6163	378	11	intawichai	intawichai	PROPN
ejpam-6163	378	12	,	,	PUNCT
ejpam-6163	378	13	s.	s.	PROPN
ejpam-6163	378	14	phongchan	phongchan	PROPN
ejpam-6163	378	15	/	/	SYM
ejpam-6163	378	16	eur	eur	PROPN
ejpam-6163	378	17	.	.	PUNCT
ejpam-6163	379	1	j.	j.	PROPN
ejpam-6163	379	2	pure	pure	PROPN
ejpam-6163	379	3	appl	appl	PROPN
ejpam-6163	379	4	.	.	PROPN
ejpam-6163	379	5	math	math	PROPN
ejpam-6163	379	6	,	,	PUNCT
ejpam-6163	379	7	18	18	NUM
ejpam-6163	379	8	(	(	PUNCT
ejpam-6163	379	9	2	2	NUM
ejpam-6163	379	10	)	)	PUNCT
ejpam-6163	379	11	(	(	PUNCT
ejpam-6163	379	12	2025	2025	NUM
ejpam-6163	379	13	)	)	PUNCT
ejpam-6163	379	14	,	,	PUNCT
ejpam-6163	379	15	6163	6163	NUM
ejpam-6163	379	16	15	15	NUM
ejpam-6163	379	17	of	of	ADP
ejpam-6163	379	18	20	20	NUM
ejpam-6163	379	19	figure	figure	NOUN
ejpam-6163	379	20	1	1	NUM
ejpam-6163	379	21	:	:	PUNCT
ejpam-6163	379	22	a	a	DET
ejpam-6163	379	23	connected	connected	ADJ
ejpam-6163	379	24	communication	communication	NOUN
ejpam-6163	379	25	network	network	NOUN
ejpam-6163	379	26	g.	g.	PROPN
ejpam-6163	379	27	shows	show	VERB
ejpam-6163	379	28	the	the	DET
ejpam-6163	379	29	performance	performance	NOUN
ejpam-6163	379	30	of	of	ADP
ejpam-6163	379	31	the	the	DET
ejpam-6163	379	32	classical	classical	ADJ
ejpam-6163	379	33	consensus	consensus	NOUN
ejpam-6163	379	34	algorithm	algorithm	NOUN
ejpam-6163	379	35	,	,	PUNCT
ejpam-6163	379	36	which	which	PRON
ejpam-6163	379	37	converges	converge	VERB
ejpam-6163	379	38	asymptotically	asymptotically	ADV
ejpam-6163	379	39	and	and	CCONJ
ejpam-6163	379	40	requires	require	VERB
ejpam-6163	379	41	more	more	ADJ
ejpam-6163	379	42	than	than	ADP
ejpam-6163	379	43	90	90	NUM
ejpam-6163	379	44	iterations	iteration	NOUN
ejpam-6163	379	45	to	to	PART
ejpam-6163	379	46	attain	attain	VERB
ejpam-6163	379	47	a	a	DET
ejpam-6163	379	48	similar	similar	ADJ
ejpam-6163	379	49	level	level	NOUN
ejpam-6163	379	50	of	of	ADP
ejpam-6163	379	51	precision	precision	NOUN
ejpam-6163	379	52	.	.	PUNCT
ejpam-6163	380	1	this	this	DET
ejpam-6163	380	2	comparison	comparison	NOUN
ejpam-6163	380	3	highlights	highlight	VERB
ejpam-6163	380	4	the	the	DET
ejpam-6163	380	5	substantial	substantial	ADJ
ejpam-6163	380	6	improvement	improvement	NOUN
ejpam-6163	380	7	in	in	ADP
ejpam-6163	380	8	convergence	convergence	NOUN
ejpam-6163	380	9	rate	rate	NOUN
ejpam-6163	380	10	achieved	achieve	VERB
ejpam-6163	380	11	by	by	ADP
ejpam-6163	380	12	the	the	DET
ejpam-6163	380	13	proposed	propose	VERB
ejpam-6163	380	14	method	method	NOUN
ejpam-6163	380	15	.	.	PUNCT
ejpam-6163	381	1	the	the	DET
ejpam-6163	381	2	acceleration	acceleration	NOUN
ejpam-6163	381	3	arises	arise	VERB
ejpam-6163	381	4	from	from	ADP
ejpam-6163	381	5	the	the	DET
ejpam-6163	381	6	use	use	NOUN
ejpam-6163	381	7	of	of	ADP
ejpam-6163	381	8	the	the	DET
ejpam-6163	381	9	conjugate	conjugate	ADJ
ejpam-6163	381	10	gradient	gradient	NOUN
ejpam-6163	381	11	method	method	NOUN
ejpam-6163	381	12	,	,	PUNCT
ejpam-6163	381	13	which	which	PRON
ejpam-6163	381	14	efficiently	efficiently	ADV
ejpam-6163	381	15	solves	solve	VERB
ejpam-6163	381	16	the	the	DET
ejpam-6163	381	17	associated	associated	ADJ
ejpam-6163	381	18	linear	linear	NOUN
ejpam-6163	381	19	system	system	NOUN
ejpam-6163	381	20	within	within	ADP
ejpam-6163	381	21	a	a	DET
ejpam-6163	381	22	finite	finite	ADJ
ejpam-6163	381	23	number	number	NOUN
ejpam-6163	381	24	of	of	ADP
ejpam-6163	381	25	steps	step	NOUN
ejpam-6163	381	26	,	,	PUNCT
ejpam-6163	381	27	unlike	unlike	ADP
ejpam-6163	381	28	traditional	traditional	ADJ
ejpam-6163	381	29	averaging	averaging	NOUN
ejpam-6163	381	30	schemes	scheme	NOUN
ejpam-6163	381	31	that	that	PRON
ejpam-6163	381	32	offer	offer	VERB
ejpam-6163	381	33	only	only	ADV
ejpam-6163	381	34	asymptotic	asymptotic	ADJ
ejpam-6163	381	35	guarantees	guarantee	NOUN
ejpam-6163	381	36	.	.	PUNCT
ejpam-6163	382	1	hence	hence	ADV
ejpam-6163	382	2	,	,	PUNCT
ejpam-6163	382	3	the	the	DET
ejpam-6163	382	4	proposed	propose	VERB
ejpam-6163	382	5	protocol	protocol	NOUN
ejpam-6163	382	6	ensures	ensure	VERB
ejpam-6163	382	7	both	both	PRON
ejpam-6163	382	8	computational	computational	ADJ
ejpam-6163	382	9	efficiency	efficiency	NOUN
ejpam-6163	382	10	and	and	CCONJ
ejpam-6163	382	11	theoretical	theoretical	ADJ
ejpam-6163	382	12	rigor	rigor	NOUN
ejpam-6163	382	13	for	for	ADP
ejpam-6163	382	14	consensus	consensus	NOUN
ejpam-6163	382	15	in	in	ADP
ejpam-6163	382	16	uniform	uniform	NOUN
ejpam-6163	382	17	and	and	CCONJ
ejpam-6163	382	18	heterogeneous	heterogeneous	ADJ
ejpam-6163	382	19	multi	multi	ADJ
ejpam-6163	382	20	-	-	ADJ
ejpam-6163	382	21	agent	agent	ADJ
ejpam-6163	382	22	settings	setting	NOUN
ejpam-6163	382	23	.	.	PUNCT
ejpam-6163	383	1	the	the	DET
ejpam-6163	383	2	simulation	simulation	NOUN
ejpam-6163	383	3	results	result	VERB
ejpam-6163	383	4	validate	validate	VERB
ejpam-6163	383	5	the	the	DET
ejpam-6163	383	6	theoretical	theoretical	ADJ
ejpam-6163	383	7	guarantees	guarantee	NOUN
ejpam-6163	383	8	of	of	ADP
ejpam-6163	383	9	the	the	DET
ejpam-6163	383	10	proposed	propose	VERB
ejpam-6163	383	11	cgm	cgm	PROPN
ejpam-6163	383	12	-	-	PUNCT
ejpam-6163	383	13	based	base	VERB
ejpam-6163	383	14	finite	finite	ADJ
ejpam-6163	383	15	-	-	PUNCT
ejpam-6163	383	16	time	time	NOUN
ejpam-6163	383	17	scaled	scaled	ADJ
ejpam-6163	383	18	consensus	consensus	NOUN
ejpam-6163	383	19	protocols	protocol	NOUN
ejpam-6163	383	20	for	for	ADP
ejpam-6163	383	21	hybrid	hybrid	ADJ
ejpam-6163	383	22	multi	multi	ADJ
ejpam-6163	383	23	-	-	ADJ
ejpam-6163	383	24	agent	agent	ADJ
ejpam-6163	383	25	systems	system	NOUN
ejpam-6163	383	26	(	(	PUNCT
ejpam-6163	383	27	hmas	hmas	PROPN
ejpam-6163	383	28	)	)	PUNCT
ejpam-6163	383	29	.	.	PUNCT
ejpam-6163	384	1	through	through	ADP
ejpam-6163	384	2	matlab	matlab	PROPN
ejpam-6163	384	3	implementation	implementation	NOUN
ejpam-6163	384	4	,	,	PUNCT
ejpam-6163	384	5	it	it	PRON
ejpam-6163	384	6	is	be	AUX
ejpam-6163	384	7	shown	show	VERB
ejpam-6163	384	8	that	that	SCONJ
ejpam-6163	384	9	the	the	DET
ejpam-6163	384	10	system	system	NOUN
ejpam-6163	384	11	achieves	achieve	VERB
ejpam-6163	384	12	scaled	scale	VERB
ejpam-6163	384	13	consensus	consensus	NOUN
ejpam-6163	384	14	in	in	ADP
ejpam-6163	384	15	significantly	significantly	ADV
ejpam-6163	384	16	fewer	few	ADJ
ejpam-6163	384	17	iterations	iteration	NOUN
ejpam-6163	384	18	than	than	ADP
ejpam-6163	384	19	the	the	DET
ejpam-6163	384	20	number	number	NOUN
ejpam-6163	384	21	of	of	ADP
ejpam-6163	384	22	agents	agent	NOUN
ejpam-6163	384	23	,	,	PUNCT
ejpam-6163	384	24	provided	provide	VERB
ejpam-6163	384	25	the	the	DET
ejpam-6163	384	26	step	step	NOUN
ejpam-6163	384	27	size	size	NOUN
ejpam-6163	384	28	h	h	NOUN
ejpam-6163	384	29	satisfies	satisfy	VERB
ejpam-6163	384	30	the	the	DET
ejpam-6163	384	31	condition	condition	NOUN
ejpam-6163	384	32	0	0	PUNCT
ejpam-6163	384	33	<	<	X
ejpam-6163	384	34	h	h	X
ejpam-6163	384	35	<	<	X
ejpam-6163	384	36	1	1	NUM
ejpam-6163	384	37	dmaxβmax	dmaxβmax	X
ejpam-6163	384	38	.	.	PUNCT
ejpam-6163	385	1	for	for	ADP
ejpam-6163	385	2	instance	instance	NOUN
ejpam-6163	385	3	,	,	PUNCT
ejpam-6163	385	4	in	in	ADP
ejpam-6163	385	5	a	a	DET
ejpam-6163	385	6	network	network	NOUN
ejpam-6163	385	7	of	of	ADP
ejpam-6163	385	8	n	n	NOUN
ejpam-6163	385	9	=	=	SYM
ejpam-6163	385	10	100	100	NUM
ejpam-6163	385	11	agents	agent	NOUN
ejpam-6163	385	12	with	with	ADP
ejpam-6163	385	13	heterogeneous	heterogeneous	ADJ
ejpam-6163	385	14	scaling	scaling	NOUN
ejpam-6163	385	15	factors	factor	NOUN
ejpam-6163	385	16	βi	βi	PRON
ejpam-6163	385	17	∈	∈	PROPN
ejpam-6163	385	18	(	(	PUNCT
ejpam-6163	385	19	0.5	0.5	NUM
ejpam-6163	385	20	,	,	PUNCT
ejpam-6163	385	21	1.5	1.5	NUM
ejpam-6163	385	22	)	)	PUNCT
ejpam-6163	385	23	,	,	PUNCT
ejpam-6163	385	24	consensus	consensus	NOUN
ejpam-6163	385	25	is	be	AUX
ejpam-6163	385	26	attained	attain	VERB
ejpam-6163	385	27	in	in	ADP
ejpam-6163	385	28	only	only	ADV
ejpam-6163	385	29	18	18	NUM
ejpam-6163	385	30	iterations	iteration	NOUN
ejpam-6163	385	31	.	.	PUNCT
ejpam-6163	386	1	this	this	DET
ejpam-6163	386	2	highlights	highlight	VERB
ejpam-6163	386	3	the	the	DET
ejpam-6163	386	4	superior	superior	ADJ
ejpam-6163	386	5	convergence	convergence	NOUN
ejpam-6163	386	6	rate	rate	NOUN
ejpam-6163	386	7	of	of	ADP
ejpam-6163	386	8	the	the	DET
ejpam-6163	386	9	proposed	propose	VERB
ejpam-6163	386	10	method	method	NOUN
ejpam-6163	386	11	compared	compare	VERB
ejpam-6163	386	12	to	to	ADP
ejpam-6163	386	13	classical	classical	ADJ
ejpam-6163	386	14	iterative	iterative	NOUN
ejpam-6163	386	15	consensus	consensus	NOUN
ejpam-6163	386	16	schemes	scheme	NOUN
ejpam-6163	386	17	,	,	PUNCT
ejpam-6163	386	18	which	which	PRON
ejpam-6163	386	19	typically	typically	ADV
ejpam-6163	386	20	achieve	achieve	VERB
ejpam-6163	386	21	only	only	ADV
ejpam-6163	386	22	asymptotic	asymptotic	ADJ
ejpam-6163	386	23	convergence	convergence	NOUN
ejpam-6163	386	24	and	and	CCONJ
ejpam-6163	386	25	may	may	AUX
ejpam-6163	386	26	require	require	VERB
ejpam-6163	386	27	hundreds	hundred	NOUN
ejpam-6163	386	28	or	or	CCONJ
ejpam-6163	386	29	thousands	thousand	NOUN
ejpam-6163	386	30	of	of	ADP
ejpam-6163	386	31	iterations	iteration	NOUN
ejpam-6163	386	32	for	for	ADP
ejpam-6163	386	33	practical	practical	ADJ
ejpam-6163	386	34	precision	precision	NOUN
ejpam-6163	386	35	.	.	PUNCT
ejpam-6163	387	1	furthermore	furthermore	ADV
ejpam-6163	387	2	,	,	PUNCT
ejpam-6163	387	3	when	when	SCONJ
ejpam-6163	387	4	h	h	NOUN
ejpam-6163	387	5	exceeds	exceed	VERB
ejpam-6163	387	6	the	the	DET
ejpam-6163	387	7	prescribed	prescribed	ADJ
ejpam-6163	387	8	upper	upper	ADJ
ejpam-6163	387	9	bound	bind	VERB
ejpam-6163	387	10	,	,	PUNCT
ejpam-6163	387	11	the	the	DET
ejpam-6163	387	12	states	state	NOUN
ejpam-6163	387	13	diverge	diverge	VERB
ejpam-6163	387	14	,	,	PUNCT
ejpam-6163	387	15	reinforcing	reinforce	VERB
ejpam-6163	387	16	the	the	DET
ejpam-6163	387	17	necessity	necessity	NOUN
ejpam-6163	387	18	of	of	ADP
ejpam-6163	387	19	adhering	adhere	VERB
ejpam-6163	387	20	to	to	ADP
ejpam-6163	387	21	the	the	DET
ejpam-6163	387	22	theoretical	theoretical	ADJ
ejpam-6163	387	23	step	step	NOUN
ejpam-6163	387	24	-	-	PUNCT
ejpam-6163	387	25	size	size	NOUN
ejpam-6163	387	26	constraint	constraint	NOUN
ejpam-6163	387	27	.	.	PUNCT
ejpam-6163	388	1	a	a	DET
ejpam-6163	388	2	comparison	comparison	NOUN
ejpam-6163	388	3	with	with	ADP
ejpam-6163	388	4	the	the	DET
ejpam-6163	388	5	classical	classical	ADJ
ejpam-6163	388	6	consensus	consensus	NOUN
ejpam-6163	388	7	framework	framework	NOUN
ejpam-6163	388	8	,	,	PUNCT
ejpam-6163	388	9	such	such	ADJ
ejpam-6163	388	10	as	as	ADP
ejpam-6163	388	11	that	that	PRON
ejpam-6163	388	12	in	in	ADP
ejpam-6163	388	13	[	[	X
ejpam-6163	388	14	11	11	NUM
ejpam-6163	388	15	]	]	PUNCT
ejpam-6163	388	16	where	where	SCONJ
ejpam-6163	388	17	βi	βi	PROPN
ejpam-6163	388	18	=	=	SYM
ejpam-6163	388	19	1	1	NUM
ejpam-6163	388	20	,	,	PUNCT
ejpam-6163	388	21	reveals	reveal	VERB
ejpam-6163	388	22	that	that	SCONJ
ejpam-6163	388	23	while	while	SCONJ
ejpam-6163	388	24	both	both	DET
ejpam-6163	388	25	approaches	approach	NOUN
ejpam-6163	388	26	reach	reach	VERB
ejpam-6163	388	27	consensus	consensus	NOUN
ejpam-6163	388	28	,	,	PUNCT
ejpam-6163	388	29	the	the	DET
ejpam-6163	388	30	cgm	cgm	NOUN
ejpam-6163	388	31	-	-	PUNCT
ejpam-6163	388	32	based	base	VERB
ejpam-6163	388	33	method	method	NOUN
ejpam-6163	388	34	achieves	achieve	VERB
ejpam-6163	388	35	it	it	PRON
ejpam-6163	388	36	in	in	ADP
ejpam-6163	388	37	finite	finite	ADJ
ejpam-6163	388	38	time	time	NOUN
ejpam-6163	388	39	with	with	ADP
ejpam-6163	388	40	m.	m.	NOUN
ejpam-6163	388	41	donganont	donganont	PROPN
ejpam-6163	388	42	,	,	PUNCT
ejpam-6163	388	43	s.	s.	PROPN
ejpam-6163	388	44	intawichai	intawichai	PROPN
ejpam-6163	388	45	,	,	PUNCT
ejpam-6163	388	46	s.	s.	PROPN
ejpam-6163	388	47	phongchan	phongchan	PROPN
ejpam-6163	388	48	/	/	SYM
ejpam-6163	388	49	eur	eur	PROPN
ejpam-6163	388	50	.	.	PUNCT
ejpam-6163	389	1	j.	j.	PROPN
ejpam-6163	389	2	pure	pure	PROPN
ejpam-6163	389	3	appl	appl	PROPN
ejpam-6163	389	4	.	.	PROPN
ejpam-6163	389	5	math	math	PROPN
ejpam-6163	389	6	,	,	PUNCT
ejpam-6163	389	7	18	18	NUM
ejpam-6163	389	8	(	(	PUNCT
ejpam-6163	389	9	2	2	NUM
ejpam-6163	389	10	)	)	PUNCT
ejpam-6163	389	11	(	(	PUNCT
ejpam-6163	389	12	2025	2025	NUM
ejpam-6163	389	13	)	)	PUNCT
ejpam-6163	389	14	,	,	PUNCT
ejpam-6163	389	15	6163	6163	NUM
ejpam-6163	389	16	16	16	NUM
ejpam-6163	389	17	of	of	ADP
ejpam-6163	389	18	20	20	NUM
ejpam-6163	389	19	figure	figure	NOUN
ejpam-6163	389	20	2	2	NUM
ejpam-6163	389	21	:	:	PUNCT
ejpam-6163	389	22	the	the	DET
ejpam-6163	389	23	state	state	NOUN
ejpam-6163	389	24	trajectories	trajectory	NOUN
ejpam-6163	389	25	of	of	ADP
ejpam-6163	389	26	all	all	PRON
ejpam-6163	389	27	using	use	VERB
ejpam-6163	389	28	cgm	cgm	PROPN
ejpam-6163	389	29	and	and	CCONJ
ejpam-6163	389	30	protocol	protocol	NOUN
ejpam-6163	389	31	(	(	PUNCT
ejpam-6163	389	32	3.1	3.1	NUM
ejpam-6163	389	33	)	)	PUNCT
ejpam-6163	389	34	with	with	ADP
ejpam-6163	389	35	h	h	NOUN
ejpam-6163	389	36	=	=	NOUN
ejpam-6163	389	37	0.01	0.01	NUM
ejpam-6163	389	38	.	.	PUNCT
ejpam-6163	390	1	guaranteed	guarantee	VERB
ejpam-6163	390	2	termination	termination	NOUN
ejpam-6163	390	3	.	.	PUNCT
ejpam-6163	391	1	in	in	ADP
ejpam-6163	391	2	contrast	contrast	NOUN
ejpam-6163	391	3	,	,	PUNCT
ejpam-6163	391	4	classical	classical	ADJ
ejpam-6163	391	5	approaches	approach	NOUN
ejpam-6163	391	6	converge	converge	VERB
ejpam-6163	391	7	only	only	ADV
ejpam-6163	391	8	asymptotically	asymptotically	ADV
ejpam-6163	391	9	and	and	CCONJ
ejpam-6163	391	10	assume	assume	VERB
ejpam-6163	391	11	uniform	uniform	ADJ
ejpam-6163	391	12	agent	agent	NOUN
ejpam-6163	391	13	dynamics	dynamic	NOUN
ejpam-6163	391	14	.	.	PUNCT
ejpam-6163	392	1	additionally	additionally	ADV
ejpam-6163	392	2	,	,	PUNCT
ejpam-6163	392	3	the	the	DET
ejpam-6163	392	4	scaled	scaled	ADJ
ejpam-6163	392	5	consensus	consensus	NOUN
ejpam-6163	392	6	framework	framework	NOUN
ejpam-6163	392	7	permits	permit	VERB
ejpam-6163	392	8	agents	agent	NOUN
ejpam-6163	392	9	to	to	PART
ejpam-6163	392	10	synchronize	synchronize	VERB
ejpam-6163	392	11	to	to	ADP
ejpam-6163	392	12	a	a	DET
ejpam-6163	392	13	weighted	weighted	ADJ
ejpam-6163	392	14	average	average	NOUN
ejpam-6163	392	15	that	that	SCONJ
ejpam-6163	392	16	accounts	account	VERB
ejpam-6163	392	17	for	for	ADP
ejpam-6163	392	18	individual	individual	ADJ
ejpam-6163	392	19	importance	importance	NOUN
ejpam-6163	392	20	,	,	PUNCT
ejpam-6163	392	21	unlike	unlike	ADP
ejpam-6163	392	22	the	the	DET
ejpam-6163	392	23	uniform	uniform	ADJ
ejpam-6163	392	24	consensus	consensus	NOUN
ejpam-6163	392	25	in	in	ADP
ejpam-6163	392	26	classical	classical	ADJ
ejpam-6163	392	27	settings	setting	NOUN
ejpam-6163	392	28	.	.	PUNCT
ejpam-6163	393	1	these	these	DET
ejpam-6163	393	2	advantages	advantage	NOUN
ejpam-6163	393	3	are	be	AUX
ejpam-6163	393	4	evident	evident	ADJ
ejpam-6163	393	5	in	in	ADP
ejpam-6163	393	6	the	the	DET
ejpam-6163	393	7	simulation	simulation	NOUN
ejpam-6163	393	8	plots	plot	NOUN
ejpam-6163	393	9	,	,	PUNCT
ejpam-6163	393	10	where	where	SCONJ
ejpam-6163	393	11	the	the	DET
ejpam-6163	393	12	proposed	propose	VERB
ejpam-6163	393	13	method	method	NOUN
ejpam-6163	393	14	demonstrates	demonstrate	VERB
ejpam-6163	393	15	faster	fast	ADV
ejpam-6163	393	16	,	,	PUNCT
ejpam-6163	393	17	finite	finite	ADJ
ejpam-6163	393	18	-	-	PUNCT
ejpam-6163	393	19	time	time	NOUN
ejpam-6163	393	20	convergence	convergence	NOUN
ejpam-6163	393	21	to	to	ADP
ejpam-6163	393	22	a	a	DET
ejpam-6163	393	23	non	non	ADJ
ejpam-6163	393	24	-	-	ADJ
ejpam-6163	393	25	uniform	uniform	ADJ
ejpam-6163	393	26	consensus	consensus	NOUN
ejpam-6163	393	27	value	value	NOUN
ejpam-6163	393	28	in	in	ADP
ejpam-6163	393	29	general	general	ADJ
ejpam-6163	393	30	settings	setting	NOUN
ejpam-6163	393	31	and	and	CCONJ
ejpam-6163	393	32	to	to	ADP
ejpam-6163	393	33	the	the	DET
ejpam-6163	393	34	arithmetic	arithmetic	ADJ
ejpam-6163	393	35	mean	mean	NOUN
ejpam-6163	393	36	in	in	ADP
ejpam-6163	393	37	the	the	DET
ejpam-6163	393	38	uniform	uniform	ADJ
ejpam-6163	393	39	case	case	NOUN
ejpam-6163	393	40	.	.	PUNCT
ejpam-6163	394	1	collectively	collectively	ADV
ejpam-6163	394	2	,	,	PUNCT
ejpam-6163	394	3	the	the	DET
ejpam-6163	394	4	results	result	NOUN
ejpam-6163	394	5	confirm	confirm	VERB
ejpam-6163	394	6	that	that	SCONJ
ejpam-6163	394	7	the	the	DET
ejpam-6163	394	8	proposed	propose	VERB
ejpam-6163	394	9	cgm	cgm	NOUN
ejpam-6163	394	10	-	-	PUNCT
ejpam-6163	394	11	based	base	VERB
ejpam-6163	394	12	protocol	protocol	NOUN
ejpam-6163	394	13	significantly	significantly	ADV
ejpam-6163	394	14	accelerates	accelerate	VERB
ejpam-6163	394	15	convergence	convergence	NOUN
ejpam-6163	394	16	and	and	CCONJ
ejpam-6163	394	17	enhances	enhance	VERB
ejpam-6163	394	18	flexibility	flexibility	NOUN
ejpam-6163	394	19	in	in	ADP
ejpam-6163	394	20	modeling	model	VERB
ejpam-6163	394	21	heterogeneous	heterogeneous	ADJ
ejpam-6163	394	22	mas	mas	PROPN
ejpam-6163	394	23	dynamics	dynamic	NOUN
ejpam-6163	394	24	.	.	PUNCT
ejpam-6163	395	1	computational	computational	ADJ
ejpam-6163	395	2	considerations	consideration	NOUN
ejpam-6163	395	3	and	and	CCONJ
ejpam-6163	395	4	scalability	scalability	NOUN
ejpam-6163	395	5	although	although	SCONJ
ejpam-6163	395	6	the	the	DET
ejpam-6163	395	7	conjugate	conjugate	ADJ
ejpam-6163	395	8	gradient	gradient	NOUN
ejpam-6163	395	9	method	method	NOUN
ejpam-6163	395	10	(	(	PUNCT
ejpam-6163	395	11	cgm	cgm	NOUN
ejpam-6163	395	12	)	)	PUNCT
ejpam-6163	395	13	guarantees	guarantee	VERB
ejpam-6163	395	14	finite	finite	ADJ
ejpam-6163	395	15	-	-	PUNCT
ejpam-6163	395	16	time	time	NOUN
ejpam-6163	395	17	convergence	convergence	NOUN
ejpam-6163	395	18	in	in	ADP
ejpam-6163	395	19	at	at	ADP
ejpam-6163	395	20	most	most	ADJ
ejpam-6163	395	21	n	n	PRON
ejpam-6163	395	22	iterations	iteration	NOUN
ejpam-6163	395	23	for	for	ADP
ejpam-6163	395	24	an	an	DET
ejpam-6163	395	25	n	n	CCONJ
ejpam-6163	395	26	-agent	-agent	ADJ
ejpam-6163	395	27	system	system	NOUN
ejpam-6163	395	28	,	,	PUNCT
ejpam-6163	395	29	its	its	PRON
ejpam-6163	395	30	practical	practical	ADJ
ejpam-6163	395	31	deployment	deployment	NOUN
ejpam-6163	395	32	in	in	ADP
ejpam-6163	395	33	large	large	ADJ
ejpam-6163	395	34	-	-	PUNCT
ejpam-6163	395	35	scale	scale	NOUN
ejpam-6163	395	36	or	or	CCONJ
ejpam-6163	395	37	real	real	ADJ
ejpam-6163	395	38	-	-	PUNCT
ejpam-6163	395	39	time	time	NOUN
ejpam-6163	395	40	multi	multi	ADJ
ejpam-6163	395	41	-	-	ADJ
ejpam-6163	395	42	agent	agent	ADJ
ejpam-6163	395	43	applications	application	NOUN
ejpam-6163	395	44	presents	present	VERB
ejpam-6163	395	45	several	several	ADJ
ejpam-6163	395	46	computational	computational	ADJ
ejpam-6163	395	47	and	and	CCONJ
ejpam-6163	395	48	numerical	numerical	ADJ
ejpam-6163	395	49	challenges	challenge	NOUN
ejpam-6163	395	50	.	.	PUNCT
ejpam-6163	396	1	from	from	ADP
ejpam-6163	396	2	a	a	DET
ejpam-6163	396	3	numerical	numerical	ADJ
ejpam-6163	396	4	perspective	perspective	NOUN
ejpam-6163	396	5	,	,	PUNCT
ejpam-6163	396	6	the	the	DET
ejpam-6163	396	7	performance	performance	NOUN
ejpam-6163	396	8	of	of	ADP
ejpam-6163	396	9	cgm	cgm	PROPN
ejpam-6163	396	10	can	can	AUX
ejpam-6163	396	11	degrade	degrade	VERB
ejpam-6163	396	12	due	due	ADJ
ejpam-6163	396	13	to	to	ADP
ejpam-6163	396	14	finiteprecision	finiteprecision	NOUN
ejpam-6163	396	15	arithmetic	arithmetic	NOUN
ejpam-6163	396	16	,	,	PUNCT
ejpam-6163	396	17	the	the	DET
ejpam-6163	396	18	presence	presence	NOUN
ejpam-6163	396	19	of	of	ADP
ejpam-6163	396	20	ill	ill	ADV
ejpam-6163	396	21	-	-	PUNCT
ejpam-6163	396	22	conditioned	condition	VERB
ejpam-6163	396	23	laplacian	laplacian	ADJ
ejpam-6163	396	24	matrices	matrix	NOUN
ejpam-6163	396	25	as	as	ADP
ejpam-6163	396	26	the	the	DET
ejpam-6163	396	27	network	network	NOUN
ejpam-6163	396	28	size	size	NOUN
ejpam-6163	396	29	increases	increase	NOUN
ejpam-6163	396	30	,	,	PUNCT
ejpam-6163	396	31	and	and	CCONJ
ejpam-6163	396	32	the	the	DET
ejpam-6163	396	33	accumulation	accumulation	NOUN
ejpam-6163	396	34	of	of	ADP
ejpam-6163	396	35	round	round	NOUN
ejpam-6163	396	36	-	-	PUNCT
ejpam-6163	396	37	off	off	ADP
ejpam-6163	396	38	errors	error	NOUN
ejpam-6163	396	39	in	in	ADP
ejpam-6163	396	40	the	the	DET
ejpam-6163	396	41	recursive	recursive	ADJ
ejpam-6163	396	42	construction	construction	NOUN
ejpam-6163	396	43	of	of	ADP
ejpam-6163	396	44	conjugate	conjugate	ADJ
ejpam-6163	396	45	directions	direction	NOUN
ejpam-6163	396	46	.	.	PUNCT
ejpam-6163	397	1	these	these	DET
ejpam-6163	397	2	issues	issue	NOUN
ejpam-6163	397	3	may	may	AUX
ejpam-6163	397	4	affect	affect	VERB
ejpam-6163	397	5	both	both	DET
ejpam-6163	397	6	convergence	convergence	NOUN
ejpam-6163	397	7	speed	speed	NOUN
ejpam-6163	397	8	and	and	CCONJ
ejpam-6163	397	9	accuracy	accuracy	NOUN
ejpam-6163	397	10	.	.	PUNCT
ejpam-6163	398	1	to	to	PART
ejpam-6163	398	2	address	address	VERB
ejpam-6163	398	3	such	such	ADJ
ejpam-6163	398	4	concerns	concern	NOUN
ejpam-6163	398	5	,	,	PUNCT
ejpam-6163	398	6	preconditioning	precondition	VERB
ejpam-6163	398	7	techniques	technique	NOUN
ejpam-6163	398	8	and	and	CCONJ
ejpam-6163	398	9	modified	modify	VERB
ejpam-6163	398	10	orthogonalization	orthogonalization	NOUN
ejpam-6163	398	11	schemes	scheme	NOUN
ejpam-6163	398	12	(	(	PUNCT
ejpam-6163	398	13	e.g.	e.g.	ADV
ejpam-6163	398	14	,	,	PUNCT
ejpam-6163	398	15	gram	gram	NOUN
ejpam-6163	398	16	-	-	PUNCT
ejpam-6163	398	17	schmidt	schmidt	NOUN
ejpam-6163	398	18	)	)	PUNCT
ejpam-6163	398	19	can	can	AUX
ejpam-6163	398	20	be	be	AUX
ejpam-6163	398	21	employed	employ	VERB
ejpam-6163	398	22	to	to	PART
ejpam-6163	398	23	improve	improve	VERB
ejpam-6163	398	24	the	the	DET
ejpam-6163	398	25	condition	condition	NOUN
ejpam-6163	398	26	number	number	NOUN
ejpam-6163	398	27	and	and	CCONJ
ejpam-6163	398	28	numerical	numerical	ADJ
ejpam-6163	398	29	robustness	robustness	NOUN
ejpam-6163	398	30	of	of	ADP
ejpam-6163	398	31	the	the	DET
ejpam-6163	398	32	system	system	NOUN
ejpam-6163	398	33	matrix	matrix	NOUN
ejpam-6163	398	34	c	c	PUNCT
ejpam-6163	399	1	=	=	SYM
ejpam-6163	399	2	ρi	ρi	PROPN
ejpam-6163	399	3	+	+	NOUN
ejpam-6163	399	4	h|b|l	h|b|l	PROPN
ejpam-6163	399	5	.	.	PUNCT
ejpam-6163	400	1	in	in	ADP
ejpam-6163	400	2	terms	term	NOUN
ejpam-6163	400	3	of	of	ADP
ejpam-6163	400	4	computational	computational	ADJ
ejpam-6163	400	5	cost	cost	NOUN
ejpam-6163	400	6	,	,	PUNCT
ejpam-6163	400	7	while	while	SCONJ
ejpam-6163	400	8	cgm	cgm	PROPN
ejpam-6163	400	9	converges	converge	NOUN
ejpam-6163	400	10	faster	fast	ADV
ejpam-6163	400	11	than	than	ADP
ejpam-6163	400	12	traditional	traditional	ADJ
ejpam-6163	400	13	iterative	iterative	ADJ
ejpam-6163	400	14	consensus	consensus	NOUN
ejpam-6163	400	15	algorithms	algorithm	NOUN
ejpam-6163	400	16	,	,	PUNCT
ejpam-6163	400	17	each	each	DET
ejpam-6163	400	18	iteration	iteration	NOUN
ejpam-6163	400	19	involves	involve	VERB
ejpam-6163	400	20	inner	inner	ADJ
ejpam-6163	400	21	products	product	NOUN
ejpam-6163	400	22	and	and	CCONJ
ejpam-6163	400	23	matrix	matrix	NOUN
ejpam-6163	400	24	-	-	PUNCT
ejpam-6163	400	25	vector	vector	NOUN
ejpam-6163	400	26	multiplications	multiplication	NOUN
ejpam-6163	400	27	,	,	PUNCT
ejpam-6163	400	28	leading	lead	VERB
ejpam-6163	400	29	to	to	ADP
ejpam-6163	400	30	a	a	DET
ejpam-6163	400	31	per	per	ADP
ejpam-6163	400	32	-	-	PUNCT
ejpam-6163	400	33	iteration	iteration	NOUN
ejpam-6163	400	34	complexity	complexity	NOUN
ejpam-6163	400	35	of	of	ADP
ejpam-6163	400	36	o(n2	o(n2	NUM
ejpam-6163	400	37	)	)	PUNCT
ejpam-6163	400	38	in	in	ADP
ejpam-6163	400	39	dense	dense	ADJ
ejpam-6163	400	40	networks	network	NOUN
ejpam-6163	400	41	.	.	PUNCT
ejpam-6163	401	1	for	for	ADP
ejpam-6163	401	2	sparse	sparse	ADJ
ejpam-6163	401	3	graphs	graph	NOUN
ejpam-6163	401	4	,	,	PUNCT
ejpam-6163	401	5	however	however	ADV
ejpam-6163	401	6	,	,	PUNCT
ejpam-6163	401	7	the	the	DET
ejpam-6163	401	8	computational	computational	ADJ
ejpam-6163	401	9	burden	burden	NOUN
ejpam-6163	401	10	rem	rem	VERB
ejpam-6163	401	11	.	.	PROPN
ejpam-6163	401	12	donganont	donganont	PROPN
ejpam-6163	401	13	,	,	PUNCT
ejpam-6163	401	14	s.	s.	PROPN
ejpam-6163	401	15	intawichai	intawichai	PROPN
ejpam-6163	401	16	,	,	PUNCT
ejpam-6163	401	17	s.	s.	PROPN
ejpam-6163	401	18	phongchan	phongchan	PROPN
ejpam-6163	401	19	/	/	SYM
ejpam-6163	401	20	eur	eur	PROPN
ejpam-6163	401	21	.	.	PUNCT
ejpam-6163	402	1	j.	j.	PROPN
ejpam-6163	402	2	pure	pure	PROPN
ejpam-6163	402	3	appl	appl	PROPN
ejpam-6163	402	4	.	.	PROPN
ejpam-6163	402	5	math	math	PROPN
ejpam-6163	402	6	,	,	PUNCT
ejpam-6163	402	7	18	18	NUM
ejpam-6163	402	8	(	(	PUNCT
ejpam-6163	402	9	2	2	NUM
ejpam-6163	402	10	)	)	PUNCT
ejpam-6163	402	11	(	(	PUNCT
ejpam-6163	402	12	2025	2025	NUM
ejpam-6163	402	13	)	)	PUNCT
ejpam-6163	402	14	,	,	PUNCT
ejpam-6163	402	15	6163	6163	NUM
ejpam-6163	402	16	17	17	NUM
ejpam-6163	402	17	of	of	ADP
ejpam-6163	402	18	20	20	NUM
ejpam-6163	402	19	figure	figure	NOUN
ejpam-6163	402	20	3	3	NUM
ejpam-6163	402	21	:	:	PUNCT
ejpam-6163	402	22	the	the	DET
ejpam-6163	402	23	state	state	NOUN
ejpam-6163	402	24	trajectories	trajectory	NOUN
ejpam-6163	402	25	using	use	VERB
ejpam-6163	402	26	cgm	cgm	PROPN
ejpam-6163	402	27	and	and	CCONJ
ejpam-6163	402	28	protocol	protocol	NOUN
ejpam-6163	402	29	(	(	PUNCT
ejpam-6163	402	30	3.1	3.1	NUM
ejpam-6163	402	31	)	)	PUNCT
ejpam-6163	402	32	with	with	ADP
ejpam-6163	402	33	h	h	NOUN
ejpam-6163	402	34	=	=	NOUN
ejpam-6163	402	35	0.112	0.112	NUM
ejpam-6163	402	36	,	,	PUNCT
ejpam-6163	402	37	where	where	SCONJ
ejpam-6163	402	38	hmax	hmax	AUX
ejpam-6163	402	39	=	=	SYM
ejpam-6163	402	40	0.076473	0.076473	NUM
ejpam-6163	402	41	.	.	PUNCT
ejpam-6163	403	1	mains	main	NOUN
ejpam-6163	403	2	manageable	manageable	ADJ
ejpam-6163	403	3	and	and	CCONJ
ejpam-6163	403	4	scales	scale	VERB
ejpam-6163	403	5	linearly	linearly	ADV
ejpam-6163	403	6	with	with	ADP
ejpam-6163	403	7	the	the	DET
ejpam-6163	403	8	number	number	NOUN
ejpam-6163	403	9	of	of	ADP
ejpam-6163	403	10	nonzero	nonzero	PROPN
ejpam-6163	403	11	elements	element	NOUN
ejpam-6163	403	12	.	.	PUNCT
ejpam-6163	404	1	comparative	comparative	ADJ
ejpam-6163	404	2	benchmarks	benchmark	NOUN
ejpam-6163	404	3	(	(	PUNCT
ejpam-6163	404	4	see	see	VERB
ejpam-6163	404	5	figure	figure	NOUN
ejpam-6163	404	6	5	5	NUM
ejpam-6163	404	7	)	)	PUNCT
ejpam-6163	404	8	illustrate	illustrate	VERB
ejpam-6163	404	9	that	that	SCONJ
ejpam-6163	404	10	cgm	cgm	PROPN
ejpam-6163	404	11	achieves	achieve	VERB
ejpam-6163	404	12	consensus	consensus	NOUN
ejpam-6163	404	13	with	with	ADP
ejpam-6163	404	14	significantly	significantly	ADV
ejpam-6163	404	15	fewer	few	ADJ
ejpam-6163	404	16	iterations	iteration	NOUN
ejpam-6163	404	17	and	and	CCONJ
ejpam-6163	404	18	improved	improved	ADJ
ejpam-6163	404	19	precision	precision	NOUN
ejpam-6163	404	20	compared	compare	VERB
ejpam-6163	404	21	to	to	ADP
ejpam-6163	404	22	classical	classical	ADJ
ejpam-6163	404	23	average	average	ADJ
ejpam-6163	404	24	-	-	PUNCT
ejpam-6163	404	25	based	base	VERB
ejpam-6163	404	26	consensus	consensus	NOUN
ejpam-6163	404	27	schemes	scheme	NOUN
ejpam-6163	404	28	,	,	PUNCT
ejpam-6163	404	29	albeit	albeit	SCONJ
ejpam-6163	404	30	with	with	ADP
ejpam-6163	404	31	higher	high	ADJ
ejpam-6163	404	32	per	per	ADP
ejpam-6163	404	33	-	-	PUNCT
ejpam-6163	404	34	step	step	NOUN
ejpam-6163	404	35	computational	computational	ADJ
ejpam-6163	404	36	demands	demand	NOUN
ejpam-6163	404	37	.	.	PUNCT
ejpam-6163	405	1	these	these	DET
ejpam-6163	405	2	characteristics	characteristic	NOUN
ejpam-6163	405	3	make	make	VERB
ejpam-6163	405	4	cgm	cgm	PROPN
ejpam-6163	405	5	particularly	particularly	ADV
ejpam-6163	405	6	attractive	attractive	ADJ
ejpam-6163	405	7	in	in	ADP
ejpam-6163	405	8	scenarios	scenario	NOUN
ejpam-6163	405	9	where	where	SCONJ
ejpam-6163	405	10	fast	fast	ADJ
ejpam-6163	405	11	convergence	convergence	NOUN
ejpam-6163	405	12	is	be	AUX
ejpam-6163	405	13	critical	critical	ADJ
ejpam-6163	405	14	and	and	CCONJ
ejpam-6163	405	15	sufficient	sufficient	ADJ
ejpam-6163	405	16	computational	computational	ADJ
ejpam-6163	405	17	resources	resource	NOUN
ejpam-6163	405	18	are	be	AUX
ejpam-6163	405	19	available	available	ADJ
ejpam-6163	405	20	.	.	PUNCT
ejpam-6163	406	1	looking	look	VERB
ejpam-6163	406	2	ahead	ahead	ADV
ejpam-6163	406	3	,	,	PUNCT
ejpam-6163	406	4	potential	potential	ADJ
ejpam-6163	406	5	directions	direction	NOUN
ejpam-6163	406	6	for	for	ADP
ejpam-6163	406	7	real	real	ADJ
ejpam-6163	406	8	-	-	PUNCT
ejpam-6163	406	9	time	time	NOUN
ejpam-6163	406	10	implementation	implementation	NOUN
ejpam-6163	406	11	include	include	VERB
ejpam-6163	406	12	leveraging	leverage	VERB
ejpam-6163	406	13	sparse	sparse	ADJ
ejpam-6163	406	14	matrix	matrix	NOUN
ejpam-6163	406	15	representations	representation	NOUN
ejpam-6163	406	16	,	,	PUNCT
ejpam-6163	406	17	developing	develop	VERB
ejpam-6163	406	18	asynchronous	asynchronous	ADJ
ejpam-6163	406	19	variants	variant	NOUN
ejpam-6163	406	20	to	to	PART
ejpam-6163	406	21	reduce	reduce	VERB
ejpam-6163	406	22	synchronization	synchronization	NOUN
ejpam-6163	406	23	overhead	overhead	ADV
ejpam-6163	406	24	,	,	PUNCT
ejpam-6163	406	25	and	and	CCONJ
ejpam-6163	406	26	exploring	explore	VERB
ejpam-6163	406	27	preconditioned	precondition	VERB
ejpam-6163	406	28	or	or	CCONJ
ejpam-6163	406	29	hybrid	hybrid	ADJ
ejpam-6163	406	30	cgm	cgm	PROPN
ejpam-6163	406	31	protocols	protocol	NOUN
ejpam-6163	406	32	to	to	PART
ejpam-6163	406	33	enhance	enhance	VERB
ejpam-6163	406	34	scalability	scalability	NOUN
ejpam-6163	406	35	and	and	CCONJ
ejpam-6163	406	36	resilience	resilience	NOUN
ejpam-6163	406	37	in	in	ADP
ejpam-6163	406	38	embedded	embed	VERB
ejpam-6163	406	39	or	or	CCONJ
ejpam-6163	406	40	distributed	distribute	VERB
ejpam-6163	406	41	cyber	cyber	ADJ
ejpam-6163	406	42	-	-	PUNCT
ejpam-6163	406	43	physical	physical	ADJ
ejpam-6163	406	44	systems	system	NOUN
ejpam-6163	406	45	.	.	PUNCT
ejpam-6163	407	1	5	5	X
ejpam-6163	407	2	.	.	X
ejpam-6163	407	3	conclusion	conclusion	NOUN
ejpam-6163	407	4	in	in	ADP
ejpam-6163	407	5	this	this	DET
ejpam-6163	407	6	paper	paper	NOUN
ejpam-6163	407	7	,	,	PUNCT
ejpam-6163	407	8	we	we	PRON
ejpam-6163	407	9	developed	develop	VERB
ejpam-6163	407	10	a	a	DET
ejpam-6163	407	11	conjugate	conjugate	ADJ
ejpam-6163	407	12	gradient	gradient	NOUN
ejpam-6163	407	13	-	-	PUNCT
ejpam-6163	407	14	based	base	VERB
ejpam-6163	407	15	protocol	protocol	NOUN
ejpam-6163	407	16	to	to	PART
ejpam-6163	407	17	achieve	achieve	VERB
ejpam-6163	407	18	finitetime	finitetime	ADJ
ejpam-6163	407	19	scaled	scale	VERB
ejpam-6163	407	20	consensus	consensus	NOUN
ejpam-6163	407	21	in	in	ADP
ejpam-6163	407	22	hybrid	hybrid	ADJ
ejpam-6163	407	23	multi	multi	ADJ
ejpam-6163	407	24	-	-	ADJ
ejpam-6163	407	25	agent	agent	ADJ
ejpam-6163	407	26	systems	system	NOUN
ejpam-6163	407	27	composed	compose	VERB
ejpam-6163	407	28	of	of	ADP
ejpam-6163	407	29	both	both	CCONJ
ejpam-6163	407	30	continuous	continuous	ADJ
ejpam-6163	407	31	-	-	PUNCT
ejpam-6163	407	32	time	time	NOUN
ejpam-6163	407	33	and	and	CCONJ
ejpam-6163	407	34	discrete	discrete	ADJ
ejpam-6163	407	35	-	-	PUNCT
ejpam-6163	407	36	time	time	NOUN
ejpam-6163	407	37	agents	agent	NOUN
ejpam-6163	407	38	.	.	PUNCT
ejpam-6163	408	1	by	by	ADP
ejpam-6163	408	2	reformulating	reformulate	VERB
ejpam-6163	408	3	the	the	DET
ejpam-6163	408	4	problem	problem	NOUN
ejpam-6163	408	5	as	as	ADP
ejpam-6163	408	6	a	a	DET
ejpam-6163	408	7	symmetric	symmetric	ADJ
ejpam-6163	408	8	positive	positive	ADJ
ejpam-6163	408	9	definite	definite	ADJ
ejpam-6163	408	10	linear	linear	NOUN
ejpam-6163	408	11	system	system	NOUN
ejpam-6163	408	12	,	,	PUNCT
ejpam-6163	408	13	we	we	PRON
ejpam-6163	408	14	leveraged	leverage	VERB
ejpam-6163	408	15	the	the	DET
ejpam-6163	408	16	conjugate	conjugate	ADJ
ejpam-6163	408	17	gradient	gradient	NOUN
ejpam-6163	408	18	method	method	NOUN
ejpam-6163	408	19	(	(	PUNCT
ejpam-6163	408	20	cgm	cgm	PROPN
ejpam-6163	408	21	)	)	PUNCT
ejpam-6163	408	22	to	to	PART
ejpam-6163	408	23	ensure	ensure	VERB
ejpam-6163	408	24	exact	exact	ADJ
ejpam-6163	408	25	consensus	consensus	NOUN
ejpam-6163	408	26	in	in	ADP
ejpam-6163	408	27	at	at	ADP
ejpam-6163	408	28	most	most	ADJ
ejpam-6163	408	29	n	n	PRON
ejpam-6163	408	30	iterations	iteration	NOUN
ejpam-6163	408	31	.	.	PUNCT
ejpam-6163	409	1	two	two	NUM
ejpam-6163	409	2	hybrid	hybrid	ADJ
ejpam-6163	409	3	protocols	protocol	NOUN
ejpam-6163	409	4	were	be	AUX
ejpam-6163	409	5	studied	study	VERB
ejpam-6163	409	6	,	,	PUNCT
ejpam-6163	409	7	and	and	CCONJ
ejpam-6163	409	8	necessary	necessary	ADJ
ejpam-6163	409	9	and	and	CCONJ
ejpam-6163	409	10	sufficient	sufficient	ADJ
ejpam-6163	409	11	conditions	condition	NOUN
ejpam-6163	409	12	were	be	AUX
ejpam-6163	409	13	derived	derive	VERB
ejpam-6163	409	14	for	for	ADP
ejpam-6163	409	15	each	each	PRON
ejpam-6163	409	16	.	.	PUNCT
ejpam-6163	410	1	numerical	numerical	PROPN
ejpam-6163	410	2	simulations	simulation	NOUN
ejpam-6163	410	3	confirmed	confirm	VERB
ejpam-6163	410	4	the	the	DET
ejpam-6163	410	5	theoretical	theoretical	ADJ
ejpam-6163	410	6	findings	finding	NOUN
ejpam-6163	410	7	,	,	PUNCT
ejpam-6163	410	8	showcasing	showcase	VERB
ejpam-6163	410	9	significant	significant	ADJ
ejpam-6163	410	10	improvements	improvement	NOUN
ejpam-6163	410	11	in	in	ADP
ejpam-6163	410	12	convergence	convergence	NOUN
ejpam-6163	410	13	speed	speed	NOUN
ejpam-6163	410	14	and	and	CCONJ
ejpam-6163	410	15	robustness	robustness	NOUN
ejpam-6163	410	16	over	over	ADP
ejpam-6163	410	17	classical	classical	ADJ
ejpam-6163	410	18	methods	method	NOUN
ejpam-6163	410	19	.	.	PUNCT
ejpam-6163	411	1	future	future	ADJ
ejpam-6163	411	2	research	research	NOUN
ejpam-6163	411	3	may	may	AUX
ejpam-6163	411	4	focus	focus	VERB
ejpam-6163	411	5	on	on	ADP
ejpam-6163	411	6	extending	extend	VERB
ejpam-6163	411	7	the	the	DET
ejpam-6163	411	8	framework	framework	NOUN
ejpam-6163	411	9	to	to	PART
ejpam-6163	411	10	nonlinear	nonlinear	ADJ
ejpam-6163	411	11	or	or	CCONJ
ejpam-6163	411	12	uncertain	uncertain	ADJ
ejpam-6163	411	13	dynamics	dynamic	NOUN
ejpam-6163	411	14	,	,	PUNCT
ejpam-6163	411	15	time	time	NOUN
ejpam-6163	411	16	-	-	PUNCT
ejpam-6163	411	17	varying	vary	VERB
ejpam-6163	411	18	topologies	topology	NOUN
ejpam-6163	411	19	,	,	PUNCT
ejpam-6163	411	20	event	event	NOUN
ejpam-6163	411	21	-	-	PUNCT
ejpam-6163	411	22	triggered	trigger	VERB
ejpam-6163	411	23	communication	communication	NOUN
ejpam-6163	411	24	,	,	PUNCT
ejpam-6163	411	25	and	and	CCONJ
ejpam-6163	411	26	realtime	realtime	VERB
ejpam-6163	411	27	experiments	experiment	NOUN
ejpam-6163	411	28	to	to	PART
ejpam-6163	411	29	enhance	enhance	VERB
ejpam-6163	411	30	scalability	scalability	NOUN
ejpam-6163	411	31	,	,	PUNCT
ejpam-6163	411	32	efficiency	efficiency	NOUN
ejpam-6163	411	33	,	,	PUNCT
ejpam-6163	411	34	and	and	CCONJ
ejpam-6163	411	35	practical	practical	ADJ
ejpam-6163	411	36	deployment	deployment	NOUN
ejpam-6163	411	37	in	in	ADP
ejpam-6163	411	38	large	large	ADJ
ejpam-6163	411	39	-	-	PUNCT
ejpam-6163	411	40	scale	scale	NOUN
ejpam-6163	411	41	distributed	distribute	VERB
ejpam-6163	411	42	systems	system	NOUN
ejpam-6163	411	43	.	.	PUNCT
ejpam-6163	412	1	in	in	ADP
ejpam-6163	412	2	addition	addition	NOUN
ejpam-6163	412	3	to	to	ADP
ejpam-6163	412	4	the	the	DET
ejpam-6163	412	5	theoretical	theoretical	ADJ
ejpam-6163	412	6	contributions	contribution	NOUN
ejpam-6163	412	7	and	and	CCONJ
ejpam-6163	412	8	numerical	numerical	ADJ
ejpam-6163	412	9	validation	validation	NOUN
ejpam-6163	412	10	presented	present	VERB
ejpam-6163	412	11	in	in	ADP
ejpam-6163	412	12	this	this	DET
ejpam-6163	412	13	work	work	NOUN
ejpam-6163	412	14	,	,	PUNCT
ejpam-6163	412	15	we	we	PRON
ejpam-6163	412	16	acknowledge	acknowledge	VERB
ejpam-6163	412	17	the	the	DET
ejpam-6163	412	18	importance	importance	NOUN
ejpam-6163	412	19	of	of	ADP
ejpam-6163	412	20	practical	practical	ADJ
ejpam-6163	412	21	implementation	implementation	NOUN
ejpam-6163	412	22	in	in	ADP
ejpam-6163	412	23	realworld	realworld	PROPN
ejpam-6163	412	24	cyber	cyber	PROPN
ejpam-6163	412	25	-	-	PUNCT
ejpam-6163	412	26	physical	physical	ADJ
ejpam-6163	412	27	systems	system	NOUN
ejpam-6163	412	28	.	.	PUNCT
ejpam-6163	413	1	toward	toward	ADP
ejpam-6163	413	2	this	this	DET
ejpam-6163	413	3	goal	goal	NOUN
ejpam-6163	413	4	,	,	PUNCT
ejpam-6163	413	5	future	future	ADJ
ejpam-6163	413	6	efforts	effort	NOUN
ejpam-6163	413	7	will	will	AUX
ejpam-6163	413	8	focus	focus	VERB
ejpam-6163	413	9	on	on	ADP
ejpam-6163	413	10	bridging	bridge	VERB
ejpam-6163	413	11	the	the	DET
ejpam-6163	413	12	m.	m.	NOUN
ejpam-6163	413	13	donganont	donganont	PROPN
ejpam-6163	413	14	,	,	PUNCT
ejpam-6163	413	15	s.	s.	PROPN
ejpam-6163	413	16	intawichai	intawichai	PROPN
ejpam-6163	413	17	,	,	PUNCT
ejpam-6163	413	18	s.	s.	PROPN
ejpam-6163	413	19	phongchan	phongchan	PROPN
ejpam-6163	413	20	/	/	SYM
ejpam-6163	413	21	eur	eur	PROPN
ejpam-6163	413	22	.	.	PUNCT
ejpam-6163	414	1	j.	j.	PROPN
ejpam-6163	414	2	pure	pure	PROPN
ejpam-6163	414	3	appl	appl	PROPN
ejpam-6163	414	4	.	.	PROPN
ejpam-6163	414	5	math	math	PROPN
ejpam-6163	414	6	,	,	PUNCT
ejpam-6163	414	7	18	18	NUM
ejpam-6163	414	8	(	(	PUNCT
ejpam-6163	414	9	2	2	NUM
ejpam-6163	414	10	)	)	PUNCT
ejpam-6163	414	11	(	(	PUNCT
ejpam-6163	414	12	2025	2025	NUM
ejpam-6163	414	13	)	)	PUNCT
ejpam-6163	414	14	,	,	PUNCT
ejpam-6163	414	15	6163	6163	NUM
ejpam-6163	414	16	18	18	NUM
ejpam-6163	414	17	of	of	ADP
ejpam-6163	414	18	20	20	NUM
ejpam-6163	414	19	figure	figure	NOUN
ejpam-6163	414	20	4	4	NUM
ejpam-6163	414	21	:	:	PUNCT
ejpam-6163	414	22	the	the	DET
ejpam-6163	414	23	state	state	NOUN
ejpam-6163	414	24	trajectories	trajectorie	VERB
ejpam-6163	414	25	when	when	SCONJ
ejpam-6163	414	26	βi	βi	PROPN
ejpam-6163	414	27	=	=	SYM
ejpam-6163	414	28	1	1	NUM
ejpam-6163	414	29	for	for	ADP
ejpam-6163	414	30	all	all	PRON
ejpam-6163	414	31	i	i	PRON
ejpam-6163	414	32	compare	compare	VERB
ejpam-6163	414	33	to	to	ADP
ejpam-6163	414	34	the	the	DET
ejpam-6163	414	35	classical	classical	ADJ
ejpam-6163	414	36	consensus	consensus	NOUN
ejpam-6163	415	1	[	[	X
ejpam-6163	415	2	11	11	NUM
ejpam-6163	415	3	]	]	PUNCT
ejpam-6163	415	4	.	.	PUNCT
ejpam-6163	416	1	figure	figure	NOUN
ejpam-6163	416	2	5	5	NUM
ejpam-6163	416	3	:	:	PUNCT
ejpam-6163	416	4	comparison	comparison	NOUN
ejpam-6163	416	5	of	of	ADP
ejpam-6163	416	6	cgm	cgm	PROPN
ejpam-6163	416	7	and	and	CCONJ
ejpam-6163	416	8	classical	classical	ADJ
ejpam-6163	416	9	average	average	ADJ
ejpam-6163	416	10	consensus	consensus	NOUN
ejpam-6163	416	11	in	in	ADP
ejpam-6163	416	12	terms	term	NOUN
ejpam-6163	416	13	of	of	ADP
ejpam-6163	416	14	convergence	convergence	NOUN
ejpam-6163	416	15	rate	rate	NOUN
ejpam-6163	416	16	,	,	PUNCT
ejpam-6163	416	17	runtime	runtime	NOUN
ejpam-6163	416	18	,	,	PUNCT
ejpam-6163	416	19	and	and	CCONJ
ejpam-6163	416	20	residual	residual	ADJ
ejpam-6163	416	21	error	error	NOUN
ejpam-6163	416	22	decay	decay	NOUN
ejpam-6163	416	23	for	for	ADP
ejpam-6163	416	24	increasing	increase	VERB
ejpam-6163	416	25	network	network	NOUN
ejpam-6163	416	26	sizes	size	NOUN
ejpam-6163	416	27	.	.	PUNCT
ejpam-6163	417	1	cgm	cgm	PROPN
ejpam-6163	417	2	shows	show	VERB
ejpam-6163	417	3	faster	fast	ADJ
ejpam-6163	417	4	convergence	convergence	NOUN
ejpam-6163	417	5	at	at	ADP
ejpam-6163	417	6	the	the	DET
ejpam-6163	417	7	expense	expense	NOUN
ejpam-6163	417	8	of	of	ADP
ejpam-6163	417	9	slightly	slightly	ADV
ejpam-6163	417	10	higher	high	ADJ
ejpam-6163	417	11	per	per	ADP
ejpam-6163	417	12	-	-	PUNCT
ejpam-6163	417	13	step	step	NOUN
ejpam-6163	417	14	computational	computational	ADJ
ejpam-6163	417	15	load	load	NOUN
ejpam-6163	417	16	.	.	PUNCT
ejpam-6163	418	1	proposed	propose	VERB
ejpam-6163	418	2	cgm	cgm	PROPN
ejpam-6163	418	3	-	-	PUNCT
ejpam-6163	418	4	based	base	VERB
ejpam-6163	418	5	hybrid	hybrid	ADJ
ejpam-6163	418	6	consensus	consensus	NOUN
ejpam-6163	418	7	protocols	protocol	NOUN
ejpam-6163	418	8	with	with	ADP
ejpam-6163	418	9	embedded	embed	VERB
ejpam-6163	418	10	hardware	hardware	NOUN
ejpam-6163	418	11	and	and	CCONJ
ejpam-6163	418	12	real	real	ADJ
ejpam-6163	418	13	-	-	PUNCT
ejpam-6163	418	14	time	time	NOUN
ejpam-6163	418	15	control	control	NOUN
ejpam-6163	418	16	frameworks	framework	NOUN
ejpam-6163	418	17	.	.	PUNCT
ejpam-6163	419	1	specifically	specifically	ADV
ejpam-6163	419	2	,	,	PUNCT
ejpam-6163	419	3	we	we	PRON
ejpam-6163	419	4	are	be	AUX
ejpam-6163	419	5	developing	develop	VERB
ejpam-6163	419	6	a	a	DET
ejpam-6163	419	7	hardware	hardware	NOUN
ejpam-6163	419	8	-	-	PUNCT
ejpam-6163	419	9	in	in	ADP
ejpam-6163	419	10	-	-	PUNCT
ejpam-6163	419	11	the	the	DET
ejpam-6163	419	12	-	-	PUNCT
ejpam-6163	419	13	loop	loop	NOUN
ejpam-6163	419	14	(	(	PUNCT
ejpam-6163	419	15	hil	hil	NOUN
ejpam-6163	419	16	)	)	PUNCT
ejpam-6163	419	17	testbed	testbe	VERB
ejpam-6163	419	18	using	use	VERB
ejpam-6163	419	19	raspberry	raspberry	NOUN
ejpam-6163	419	20	pi	pi	PROPN
ejpam-6163	419	21	–	–	PUNCT
ejpam-6163	419	22	based	base	VERB
ejpam-6163	419	23	mobile	mobile	ADJ
ejpam-6163	419	24	robots	robot	NOUN
ejpam-6163	419	25	to	to	PART
ejpam-6163	419	26	implement	implement	VERB
ejpam-6163	419	27	and	and	CCONJ
ejpam-6163	419	28	verify	verify	VERB
ejpam-6163	419	29	the	the	DET
ejpam-6163	419	30	proposed	propose	VERB
ejpam-6163	419	31	protocol	protocol	NOUN
ejpam-6163	419	32	in	in	ADP
ejpam-6163	419	33	a	a	DET
ejpam-6163	419	34	decentralized	decentralize	VERB
ejpam-6163	419	35	,	,	PUNCT
ejpam-6163	419	36	networked	networked	ADJ
ejpam-6163	419	37	environment	environment	NOUN
ejpam-6163	419	38	.	.	PUNCT
ejpam-6163	420	1	additionally	additionally	ADV
ejpam-6163	420	2	,	,	PUNCT
ejpam-6163	420	3	applications	application	NOUN
ejpam-6163	420	4	in	in	ADP
ejpam-6163	420	5	distributed	distribute	VERB
ejpam-6163	420	6	energy	energy	NOUN
ejpam-6163	420	7	management	management	NOUN
ejpam-6163	420	8	for	for	ADP
ejpam-6163	420	9	microgrids	microgrid	NOUN
ejpam-6163	420	10	are	be	AUX
ejpam-6163	420	11	being	be	AUX
ejpam-6163	420	12	explored	explore	VERB
ejpam-6163	420	13	,	,	PUNCT
ejpam-6163	420	14	where	where	SCONJ
ejpam-6163	420	15	agents	agent	NOUN
ejpam-6163	420	16	represent	represent	VERB
ejpam-6163	420	17	distributed	distribute	VERB
ejpam-6163	420	18	energy	energy	NOUN
ejpam-6163	420	19	resources	resource	NOUN
ejpam-6163	420	20	(	(	PUNCT
ejpam-6163	420	21	ders	ders	PROPN
ejpam-6163	420	22	)	)	PUNCT
ejpam-6163	420	23	with	with	ADP
ejpam-6163	420	24	hybrid	hybrid	ADJ
ejpam-6163	420	25	digital	digital	ADJ
ejpam-6163	420	26	-	-	PUNCT
ejpam-6163	420	27	analog	analog	NOUN
ejpam-6163	420	28	communication	communication	NOUN
ejpam-6163	420	29	interfaces	interface	NOUN
ejpam-6163	420	30	.	.	PUNCT
ejpam-6163	421	1	we	we	PRON
ejpam-6163	421	2	also	also	ADV
ejpam-6163	421	3	plan	plan	VERB
ejpam-6163	421	4	to	to	PART
ejpam-6163	421	5	integrate	integrate	VERB
ejpam-6163	421	6	event	event	NOUN
ejpam-6163	421	7	-	-	PUNCT
ejpam-6163	421	8	triggered	trigger	VERB
ejpam-6163	421	9	mechanisms	mechanism	NOUN
ejpam-6163	421	10	into	into	ADP
ejpam-6163	421	11	the	the	DET
ejpam-6163	421	12	protocol	protocol	NOUN
ejpam-6163	421	13	to	to	PART
ejpam-6163	421	14	reduce	reduce	VERB
ejpam-6163	421	15	communication	communication	NOUN
ejpam-6163	421	16	and	and	CCONJ
ejpam-6163	421	17	actuation	actuation	NOUN
ejpam-6163	421	18	load	load	NOUN
ejpam-6163	421	19	,	,	PUNCT
ejpam-6163	421	20	which	which	PRON
ejpam-6163	421	21	is	be	AUX
ejpam-6163	421	22	critical	critical	ADJ
ejpam-6163	421	23	for	for	ADP
ejpam-6163	421	24	resource	resource	NOUN
ejpam-6163	421	25	-	-	PUNCT
ejpam-6163	421	26	constrained	constrain	VERB
ejpam-6163	421	27	and	and	CCONJ
ejpam-6163	421	28	delay	delay	NOUN
ejpam-6163	421	29	-	-	PUNCT
ejpam-6163	421	30	sensitive	sensitive	ADJ
ejpam-6163	421	31	systems	system	NOUN
ejpam-6163	421	32	.	.	PUNCT
ejpam-6163	422	1	m.	m.	NOUN
ejpam-6163	422	2	donganont	donganont	PROPN
ejpam-6163	422	3	,	,	PUNCT
ejpam-6163	422	4	s.	s.	PROPN
ejpam-6163	422	5	intawichai	intawichai	PROPN
ejpam-6163	422	6	,	,	PUNCT
ejpam-6163	422	7	s.	s.	PROPN
ejpam-6163	422	8	phongchan	phongchan	PROPN
ejpam-6163	422	9	/	/	SYM
ejpam-6163	422	10	eur	eur	PROPN
ejpam-6163	422	11	.	.	PUNCT
ejpam-6163	423	1	j.	j.	PROPN
ejpam-6163	423	2	pure	pure	PROPN
ejpam-6163	423	3	appl	appl	PROPN
ejpam-6163	423	4	.	.	PROPN
ejpam-6163	423	5	math	math	PROPN
ejpam-6163	423	6	,	,	PUNCT
ejpam-6163	423	7	18	18	NUM
ejpam-6163	423	8	(	(	PUNCT
ejpam-6163	423	9	2	2	NUM
ejpam-6163	423	10	)	)	PUNCT
ejpam-6163	423	11	(	(	PUNCT
ejpam-6163	423	12	2025	2025	NUM
ejpam-6163	423	13	)	)	PUNCT
ejpam-6163	423	14	,	,	PUNCT
ejpam-6163	423	15	6163	6163	NUM
ejpam-6163	423	16	19	19	NUM
ejpam-6163	423	17	of	of	ADP
ejpam-6163	423	18	20	20	NUM
ejpam-6163	423	19	these	these	DET
ejpam-6163	423	20	future	future	ADJ
ejpam-6163	423	21	directions	direction	NOUN
ejpam-6163	423	22	aim	aim	VERB
ejpam-6163	423	23	to	to	PART
ejpam-6163	423	24	demonstrate	demonstrate	VERB
ejpam-6163	423	25	the	the	DET
ejpam-6163	423	26	feasibility	feasibility	NOUN
ejpam-6163	423	27	,	,	PUNCT
ejpam-6163	423	28	scalability	scalability	NOUN
ejpam-6163	423	29	,	,	PUNCT
ejpam-6163	423	30	and	and	CCONJ
ejpam-6163	423	31	robustness	robustness	NOUN
ejpam-6163	423	32	of	of	ADP
ejpam-6163	423	33	the	the	DET
ejpam-6163	423	34	proposed	propose	VERB
ejpam-6163	423	35	method	method	NOUN
ejpam-6163	423	36	in	in	ADP
ejpam-6163	423	37	complex	complex	ADJ
ejpam-6163	423	38	,	,	PUNCT
ejpam-6163	423	39	real	real	ADJ
ejpam-6163	423	40	-	-	PUNCT
ejpam-6163	423	41	time	time	NOUN
ejpam-6163	423	42	applications	application	NOUN
ejpam-6163	423	43	.	.	PUNCT
ejpam-6163	424	1	acknowledgments	acknowledgment	NOUN
ejpam-6163	424	2	we	we	PRON
ejpam-6163	424	3	are	be	AUX
ejpam-6163	424	4	thankful	thankful	ADJ
ejpam-6163	424	5	to	to	ADP
ejpam-6163	424	6	the	the	DET
ejpam-6163	424	7	editors	editor	NOUN
ejpam-6163	424	8	and	and	CCONJ
ejpam-6163	424	9	the	the	DET
ejpam-6163	424	10	anonymous	anonymous	ADJ
ejpam-6163	424	11	reviewers	reviewer	NOUN
ejpam-6163	424	12	for	for	ADP
ejpam-6163	424	13	many	many	ADJ
ejpam-6163	424	14	valuable	valuable	ADJ
ejpam-6163	424	15	suggestions	suggestion	NOUN
ejpam-6163	424	16	to	to	PART
ejpam-6163	424	17	improve	improve	VERB
ejpam-6163	424	18	this	this	DET
ejpam-6163	424	19	paper	paper	NOUN
ejpam-6163	424	20	.	.	PUNCT
ejpam-6163	425	1	declarations	declaration	NOUN
ejpam-6163	425	2	funding	fund	VERB
ejpam-6163	425	3	this	this	DET
ejpam-6163	425	4	research	research	NOUN
ejpam-6163	425	5	was	be	AUX
ejpam-6163	425	6	supported	support	VERB
ejpam-6163	425	7	by	by	ADP
ejpam-6163	425	8	university	university	NOUN
ejpam-6163	425	9	of	of	ADP
ejpam-6163	425	10	phayao	phayao	NOUN
ejpam-6163	425	11	and	and	CCONJ
ejpam-6163	425	12	thailand	thailand	PROPN
ejpam-6163	425	13	science	science	PROPN
ejpam-6163	425	14	research	research	PROPN
ejpam-6163	425	15	and	and	CCONJ
ejpam-6163	425	16	innovation	innovation	NOUN
ejpam-6163	425	17	fund	fund	NOUN
ejpam-6163	425	18	(	(	PUNCT
ejpam-6163	425	19	fundamental	fundamental	ADJ
ejpam-6163	425	20	fund	fund	NOUN
ejpam-6163	425	21	2025	2025	NUM
ejpam-6163	425	22	,	,	PUNCT
ejpam-6163	425	23	grant	grant	VERB
ejpam-6163	425	24	no	no	NOUN
ejpam-6163	425	25	.	.	PUNCT
ejpam-6163	426	1	5020/2567	5020/2567	NUM
ejpam-6163	426	2	)	)	PUNCT
ejpam-6163	426	3	.	.	PUNCT
ejpam-6163	427	1	declaration	declaration	NOUN
ejpam-6163	427	2	of	of	ADP
ejpam-6163	427	3	competing	compete	VERB
ejpam-6163	427	4	interest	interest	NOUN
ejpam-6163	427	5	the	the	DET
ejpam-6163	427	6	author	author	NOUN
ejpam-6163	427	7	declares	declare	VERB
ejpam-6163	427	8	that	that	SCONJ
ejpam-6163	427	9	they	they	PRON
ejpam-6163	427	10	have	have	VERB
ejpam-6163	427	11	no	no	DET
ejpam-6163	427	12	known	know	VERB
ejpam-6163	427	13	competing	compete	VERB
ejpam-6163	427	14	financial	financial	ADJ
ejpam-6163	427	15	interests	interest	NOUN
ejpam-6163	427	16	or	or	CCONJ
ejpam-6163	427	17	personal	personal	ADJ
ejpam-6163	427	18	relationships	relationship	NOUN
ejpam-6163	427	19	that	that	PRON
ejpam-6163	427	20	could	could	AUX
ejpam-6163	427	21	have	have	AUX
ejpam-6163	427	22	appeared	appear	VERB
ejpam-6163	427	23	to	to	PART
ejpam-6163	427	24	influence	influence	VERB
ejpam-6163	427	25	the	the	DET
ejpam-6163	427	26	work	work	NOUN
ejpam-6163	427	27	reported	report	VERB
ejpam-6163	427	28	in	in	ADP
ejpam-6163	427	29	this	this	DET
ejpam-6163	427	30	paper	paper	NOUN
ejpam-6163	427	31	.	.	PUNCT
ejpam-6163	428	1	author	author	NOUN
ejpam-6163	428	2	’s	’s	PART
ejpam-6163	428	3	contribution	contribution	NOUN
ejpam-6163	428	4	all	all	DET
ejpam-6163	428	5	authors	author	NOUN
ejpam-6163	428	6	contributed	contribute	VERB
ejpam-6163	428	7	equally	equally	ADV
ejpam-6163	428	8	to	to	ADP
ejpam-6163	428	9	the	the	DET
ejpam-6163	428	10	manuscript	manuscript	NOUN
ejpam-6163	428	11	and	and	CCONJ
ejpam-6163	428	12	typed	type	VERB
ejpam-6163	428	13	,	,	PUNCT
ejpam-6163	428	14	read	read	VERB
ejpam-6163	428	15	,	,	PUNCT
ejpam-6163	428	16	and	and	CCONJ
ejpam-6163	428	17	approved	approve	VERB
ejpam-6163	428	18	the	the	DET
ejpam-6163	428	19	final	final	ADJ
ejpam-6163	428	20	manuscript	manuscript	NOUN
ejpam-6163	428	21	.	.	PUNCT
ejpam-6163	429	1	references	reference	NOUN
ejpam-6163	429	2	[	[	X
ejpam-6163	429	3	1	1	NUM
ejpam-6163	429	4	]	]	X
ejpam-6163	429	5	r.	r.	PROPN
ejpam-6163	429	6	olfati	olfati	PROPN
ejpam-6163	429	7	-	-	PUNCT
ejpam-6163	429	8	saber	saber	NOUN
ejpam-6163	429	9	and	and	CCONJ
ejpam-6163	429	10	r.	r.	PROPN
ejpam-6163	429	11	m.	m.	PROPN
ejpam-6163	429	12	murray	murray	PROPN
ejpam-6163	429	13	.	.	PUNCT
ejpam-6163	430	1	consensus	consensus	NOUN
ejpam-6163	430	2	problems	problem	NOUN
ejpam-6163	430	3	in	in	ADP
ejpam-6163	430	4	networks	network	NOUN
ejpam-6163	430	5	of	of	ADP
ejpam-6163	430	6	agents	agent	NOUN
ejpam-6163	430	7	with	with	ADP
ejpam-6163	430	8	switching	switch	VERB
ejpam-6163	430	9	topology	topology	NOUN
ejpam-6163	430	10	and	and	CCONJ
ejpam-6163	430	11	time	time	NOUN
ejpam-6163	430	12	-	-	PUNCT
ejpam-6163	430	13	delays	delay	NOUN
ejpam-6163	430	14	.	.	PUNCT
ejpam-6163	431	1	ieee	ieee	NOUN
ejpam-6163	431	2	transactions	transaction	NOUN
ejpam-6163	431	3	on	on	ADP
ejpam-6163	431	4	automatic	automatic	ADJ
ejpam-6163	431	5	control	control	NOUN
ejpam-6163	431	6	,	,	PUNCT
ejpam-6163	431	7	49(9):1520–1533	49(9):1520–1533	NUM
ejpam-6163	431	8	,	,	PUNCT
ejpam-6163	431	9	2004	2004	NUM
ejpam-6163	431	10	.	.	PUNCT
ejpam-6163	432	1	[	[	X
ejpam-6163	432	2	2	2	NUM
ejpam-6163	432	3	]	]	X
ejpam-6163	432	4	w.	w.	PROPN
ejpam-6163	432	5	ren	ren	PROPN
ejpam-6163	432	6	and	and	CCONJ
ejpam-6163	432	7	r.	r.	PROPN
ejpam-6163	432	8	w.	w.	PROPN
ejpam-6163	432	9	beard	beard	PROPN
ejpam-6163	432	10	.	.	PUNCT
ejpam-6163	433	1	consensus	consensus	NOUN
ejpam-6163	433	2	seeking	seek	VERB
ejpam-6163	433	3	in	in	ADP
ejpam-6163	433	4	multi	multi	ADJ
ejpam-6163	433	5	-	-	ADJ
ejpam-6163	433	6	agent	agent	ADJ
ejpam-6163	433	7	systems	system	NOUN
ejpam-6163	433	8	under	under	ADP
ejpam-6163	433	9	dynamically	dynamically	ADV
ejpam-6163	433	10	changing	change	VERB
ejpam-6163	433	11	interaction	interaction	NOUN
ejpam-6163	433	12	topologies	topology	NOUN
ejpam-6163	433	13	.	.	PUNCT
ejpam-6163	434	1	ieee	ieee	NOUN
ejpam-6163	434	2	transactions	transaction	NOUN
ejpam-6163	434	3	on	on	ADP
ejpam-6163	434	4	automatic	automatic	ADJ
ejpam-6163	434	5	control	control	NOUN
ejpam-6163	434	6	,	,	PUNCT
ejpam-6163	434	7	50(5):655–661	50(5):655–661	PROPN
ejpam-6163	434	8	,	,	PUNCT
ejpam-6163	434	9	2005	2005	NUM
ejpam-6163	434	10	.	.	PUNCT
ejpam-6163	435	1	[	[	X
ejpam-6163	435	2	3	3	NUM
ejpam-6163	435	3	]	]	PUNCT
ejpam-6163	435	4	x.	x.	PROPN
ejpam-6163	435	5	jia	jia	PROPN
ejpam-6163	435	6	,	,	PUNCT
ejpam-6163	435	7	h.	h.	PROPN
ejpam-6163	435	8	li	li	PROPN
ejpam-6163	435	9	,	,	PUNCT
ejpam-6163	435	10	x.	x.	PROPN
ejpam-6163	435	11	chi	chi	PROPN
ejpam-6163	435	12	,	,	PUNCT
ejpam-6163	435	13	and	and	CCONJ
ejpam-6163	435	14	t.	t.	PROPN
ejpam-6163	435	15	lv	lv	PROPN
ejpam-6163	435	16	.	.	PROPN
ejpam-6163	435	17	edge	edge	NOUN
ejpam-6163	435	18	-	-	PUNCT
ejpam-6163	435	19	based	base	VERB
ejpam-6163	435	20	dynamic	dynamic	ADJ
ejpam-6163	435	21	event	event	NOUN
ejpam-6163	435	22	-	-	PUNCT
ejpam-6163	435	23	triggered	trigger	VERB
ejpam-6163	435	24	leader	leader	NOUN
ejpam-6163	435	25	-	-	PUNCT
ejpam-6163	435	26	follower	follower	NOUN
ejpam-6163	435	27	consensus	consensus	NOUN
ejpam-6163	435	28	.	.	PUNCT
ejpam-6163	436	1	ieee	ieee	NOUN
ejpam-6163	436	2	transactions	transaction	NOUN
ejpam-6163	436	3	on	on	ADP
ejpam-6163	436	4	systems	system	NOUN
ejpam-6163	436	5	,	,	PUNCT
ejpam-6163	436	6	man	man	NOUN
ejpam-6163	436	7	,	,	PUNCT
ejpam-6163	436	8	and	and	CCONJ
ejpam-6163	436	9	cybernetics	cybernetic	NOUN
ejpam-6163	436	10	,	,	PUNCT
ejpam-6163	436	11	2024	2024	NUM
ejpam-6163	436	12	.	.	PUNCT
ejpam-6163	437	1	[	[	X
ejpam-6163	437	2	4	4	NUM
ejpam-6163	437	3	]	]	X
ejpam-6163	437	4	c.	c.	PROPN
ejpam-6163	437	5	park	park	PROPN
ejpam-6163	437	6	,	,	PUNCT
ejpam-6163	437	7	s.	s.	PROPN
ejpam-6163	437	8	donganont	donganont	PROPN
ejpam-6163	437	9	,	,	PUNCT
ejpam-6163	437	10	and	and	CCONJ
ejpam-6163	437	11	m.	m.	NOUN
ejpam-6163	437	12	donganont	donganont	PROPN
ejpam-6163	437	13	.	.	PUNCT
ejpam-6163	438	1	achieving	achieve	VERB
ejpam-6163	438	2	edge	edge	NOUN
ejpam-6163	438	3	consensus	consensus	NOUN
ejpam-6163	438	4	in	in	ADP
ejpam-6163	438	5	hybrid	hybrid	ADJ
ejpam-6163	438	6	multiagent	multiagent	NOUN
ejpam-6163	438	7	systems	system	NOUN
ejpam-6163	438	8	:	:	PUNCT
ejpam-6163	438	9	scaled	scale	VERB
ejpam-6163	438	10	dynamics	dynamic	NOUN
ejpam-6163	438	11	and	and	CCONJ
ejpam-6163	438	12	protocol	protocol	NOUN
ejpam-6163	438	13	design	design	NOUN
ejpam-6163	438	14	.	.	PUNCT
ejpam-6163	439	1	european	european	ADJ
ejpam-6163	439	2	journal	journal	PROPN
ejpam-6163	439	3	of	of	ADP
ejpam-6163	439	4	pure	pure	ADJ
ejpam-6163	439	5	and	and	CCONJ
ejpam-6163	439	6	applied	applied	ADJ
ejpam-6163	439	7	mathematics	mathematic	NOUN
ejpam-6163	439	8	,	,	PUNCT
ejpam-6163	439	9	18(1):5549	18(1):5549	NUM
ejpam-6163	439	10	,	,	PUNCT
ejpam-6163	439	11	2025	2025	NUM
ejpam-6163	439	12	.	.	PUNCT
ejpam-6163	440	1	[	[	X
ejpam-6163	440	2	5	5	NUM
ejpam-6163	440	3	]	]	X
ejpam-6163	440	4	y.	y.	PROPN
ejpam-6163	440	5	wu	wu	PROPN
ejpam-6163	440	6	,	,	PUNCT
ejpam-6163	440	7	h.	h.	PROPN
ejpam-6163	440	8	li	li	PROPN
ejpam-6163	440	9	,	,	PUNCT
ejpam-6163	440	10	c.	c.	PROPN
ejpam-6163	440	11	li	li	PROPN
ejpam-6163	440	12	,	,	PUNCT
ejpam-6163	440	13	and	and	CCONJ
ejpam-6163	440	14	q.	q.	PROPN
ejpam-6163	440	15	lü.	lü.	NOUN
ejpam-6163	440	16	edge	edge	NOUN
ejpam-6163	440	17	-	-	PUNCT
ejpam-6163	440	18	based	base	VERB
ejpam-6163	440	19	time	time	NOUN
ejpam-6163	440	20	-	-	PUNCT
ejpam-6163	440	21	dynamic	dynamic	ADJ
ejpam-6163	440	22	event	event	NOUN
ejpam-6163	440	23	-	-	PUNCT
ejpam-6163	440	24	triggered	trigger	VERB
ejpam-6163	440	25	consensus	consensus	NOUN
ejpam-6163	440	26	control	control	NOUN
ejpam-6163	440	27	.	.	PUNCT
ejpam-6163	441	1	journal	journal	NOUN
ejpam-6163	441	2	of	of	ADP
ejpam-6163	441	3	the	the	DET
ejpam-6163	441	4	franklin	franklin	PROPN
ejpam-6163	441	5	institute	institute	PROPN
ejpam-6163	441	6	,	,	PUNCT
ejpam-6163	441	7	2024	2024	NUM
ejpam-6163	441	8	.	.	PUNCT
ejpam-6163	442	1	[	[	X
ejpam-6163	442	2	6	6	NUM
ejpam-6163	442	3	]	]	PUNCT
ejpam-6163	442	4	s.	s.	PROPN
ejpam-6163	442	5	roy	roy	PROPN
ejpam-6163	442	6	.	.	PROPN
ejpam-6163	442	7	scaled	scaled	PROPN
ejpam-6163	442	8	consensus	consensus	NOUN
ejpam-6163	442	9	.	.	PUNCT
ejpam-6163	443	1	automatica	automatica	PROPN
ejpam-6163	443	2	,	,	PUNCT
ejpam-6163	443	3	51:259–262	51:259–262	PROPN
ejpam-6163	443	4	,	,	PUNCT
ejpam-6163	443	5	2015	2015	NUM
ejpam-6163	443	6	.	.	PUNCT
ejpam-6163	444	1	[	[	X
ejpam-6163	444	2	7	7	X
ejpam-6163	444	3	]	]	X
ejpam-6163	444	4	m.	m.	NOUN
ejpam-6163	444	5	donganont	donganont	NOUN
ejpam-6163	444	6	and	and	CCONJ
ejpam-6163	444	7	x.	x.	PROPN
ejpam-6163	444	8	liu	liu	PROPN
ejpam-6163	444	9	.	.	PUNCT
ejpam-6163	445	1	scaled	scale	VERB
ejpam-6163	445	2	consensus	consensus	NOUN
ejpam-6163	445	3	problems	problem	NOUN
ejpam-6163	445	4	of	of	ADP
ejpam-6163	445	5	multi	multi	ADJ
ejpam-6163	445	6	-	-	ADJ
ejpam-6163	445	7	agent	agent	ADJ
ejpam-6163	445	8	systems	system	NOUN
ejpam-6163	445	9	via	via	ADP
ejpam-6163	445	10	impulsive	impulsive	ADJ
ejpam-6163	445	11	protocols	protocol	NOUN
ejpam-6163	445	12	.	.	PUNCT
ejpam-6163	446	1	applied	apply	VERB
ejpam-6163	446	2	mathematical	mathematical	ADJ
ejpam-6163	446	3	modelling	modelling	NOUN
ejpam-6163	446	4	,	,	PUNCT
ejpam-6163	446	5	116:532–546	116:532–546	NUM
ejpam-6163	446	6	,	,	PUNCT
ejpam-6163	446	7	2023	2023	NUM
ejpam-6163	446	8	.	.	PUNCT
ejpam-6163	447	1	m.	m.	NOUN
ejpam-6163	447	2	donganont	donganont	PROPN
ejpam-6163	447	3	,	,	PUNCT
ejpam-6163	447	4	s.	s.	PROPN
ejpam-6163	447	5	intawichai	intawichai	PROPN
ejpam-6163	447	6	,	,	PUNCT
ejpam-6163	447	7	s.	s.	PROPN
ejpam-6163	447	8	phongchan	phongchan	PROPN
ejpam-6163	447	9	/	/	SYM
ejpam-6163	447	10	eur	eur	PROPN
ejpam-6163	447	11	.	.	PUNCT
ejpam-6163	448	1	j.	j.	PROPN
ejpam-6163	448	2	pure	pure	PROPN
ejpam-6163	448	3	appl	appl	PROPN
ejpam-6163	448	4	.	.	PROPN
ejpam-6163	448	5	math	math	PROPN
ejpam-6163	448	6	,	,	PUNCT
ejpam-6163	448	7	18	18	NUM
ejpam-6163	448	8	(	(	PUNCT
ejpam-6163	448	9	2	2	NUM
ejpam-6163	448	10	)	)	PUNCT
ejpam-6163	448	11	(	(	PUNCT
ejpam-6163	448	12	2025	2025	NUM
ejpam-6163	448	13	)	)	PUNCT
ejpam-6163	448	14	,	,	PUNCT
ejpam-6163	448	15	6163	6163	NUM
ejpam-6163	448	16	20	20	NUM
ejpam-6163	448	17	of	of	ADP
ejpam-6163	448	18	20	20	NUM
ejpam-6163	448	19	[	[	SYM
ejpam-6163	448	20	8	8	NUM
ejpam-6163	448	21	]	]	PUNCT
ejpam-6163	448	22	a.	a.	NOUN
ejpam-6163	448	23	benmerrous	benmerrous	PROPN
ejpam-6163	448	24	,	,	PUNCT
ejpam-6163	448	25	l.	l.	PROPN
ejpam-6163	448	26	s.	s.	PROPN
ejpam-6163	448	27	chadli	chadli	PROPN
ejpam-6163	448	28	,	,	PUNCT
ejpam-6163	448	29	a.	a.	NOUN
ejpam-6163	448	30	moujahid	moujahid	PROPN
ejpam-6163	448	31	,	,	PUNCT
ejpam-6163	448	32	m.	m.	NOUN
ejpam-6163	448	33	h.	h.	PROPN
ejpam-6163	448	34	elomari	elomari	PROPN
ejpam-6163	448	35	,	,	PUNCT
ejpam-6163	448	36	and	and	CCONJ
ejpam-6163	448	37	s.	s.	PROPN
ejpam-6163	448	38	melliani	melliani	PROPN
ejpam-6163	448	39	.	.	PUNCT
ejpam-6163	449	1	generalized	generalized	ADJ
ejpam-6163	449	2	cosine	cosine	NOUN
ejpam-6163	449	3	family	family	NOUN
ejpam-6163	449	4	.	.	PUNCT
ejpam-6163	450	1	journal	journal	PROPN
ejpam-6163	450	2	of	of	ADP
ejpam-6163	450	3	elliptic	elliptic	ADJ
ejpam-6163	450	4	and	and	CCONJ
ejpam-6163	450	5	parabolic	parabolic	ADJ
ejpam-6163	450	6	equations	equation	NOUN
ejpam-6163	450	7	,	,	PUNCT
ejpam-6163	450	8	8(1):367–381	8(1):367–381	NOUN
ejpam-6163	450	9	,	,	PUNCT
ejpam-6163	450	10	2022	2022	NUM
ejpam-6163	450	11	.	.	PUNCT
ejpam-6163	451	1	[	[	X
ejpam-6163	451	2	9	9	NUM
ejpam-6163	451	3	]	]	PUNCT
ejpam-6163	451	4	a.	a.	NOUN
ejpam-6163	451	5	benmerrous	benmerrous	NOUN
ejpam-6163	451	6	,	,	PUNCT
ejpam-6163	451	7	l.	l.	PROPN
ejpam-6163	451	8	s.	s.	PROPN
ejpam-6163	451	9	chadli	chadli	PROPN
ejpam-6163	451	10	,	,	PUNCT
ejpam-6163	451	11	a.	a.	NOUN
ejpam-6163	451	12	moujahid	moujahid	PROPN
ejpam-6163	451	13	,	,	PUNCT
ejpam-6163	451	14	m.	m.	NOUN
ejpam-6163	451	15	h.	h.	PROPN
ejpam-6163	451	16	elomari	elomari	PROPN
ejpam-6163	451	17	,	,	PUNCT
ejpam-6163	451	18	and	and	CCONJ
ejpam-6163	451	19	s.	s.	PROPN
ejpam-6163	451	20	melliani	melliani	PROPN
ejpam-6163	451	21	.	.	PUNCT
ejpam-6163	452	1	generalized	generalize	VERB
ejpam-6163	452	2	fractional	fractional	ADJ
ejpam-6163	452	3	cosine	cosine	NOUN
ejpam-6163	452	4	family	family	NOUN
ejpam-6163	452	5	.	.	PUNCT
ejpam-6163	453	1	international	international	ADJ
ejpam-6163	453	2	journal	journal	PROPN
ejpam-6163	453	3	of	of	ADP
ejpam-6163	453	4	difference	difference	NOUN
ejpam-6163	453	5	equations	equation	NOUN
ejpam-6163	453	6	(	(	PUNCT
ejpam-6163	453	7	ijde	ijde	PROPN
ejpam-6163	453	8	)	)	PUNCT
ejpam-6163	453	9	,	,	PUNCT
ejpam-6163	453	10	18(1):11–34	18(1):11–34	NUM
ejpam-6163	453	11	,	,	PUNCT
ejpam-6163	453	12	2023	2023	NUM
ejpam-6163	453	13	.	.	PUNCT
ejpam-6163	454	1	[	[	X
ejpam-6163	454	2	10	10	NUM
ejpam-6163	454	3	]	]	PUNCT
ejpam-6163	454	4	j.	j.	PROPN
ejpam-6163	454	5	liu	liu	PROPN
ejpam-6163	454	6	,	,	PUNCT
ejpam-6163	454	7	y.	y.	PROPN
ejpam-6163	454	8	hong	hong	PROPN
ejpam-6163	454	9	,	,	PUNCT
ejpam-6163	454	10	and	and	CCONJ
ejpam-6163	454	11	g.	g.	PROPN
ejpam-6163	454	12	feng	feng	PROPN
ejpam-6163	454	13	.	.	PUNCT
ejpam-6163	455	1	hybrid	hybrid	ADJ
ejpam-6163	455	2	consensus	consensus	NOUN
ejpam-6163	455	3	for	for	ADP
ejpam-6163	455	4	heterogeneous	heterogeneous	ADJ
ejpam-6163	455	5	multi	multi	ADJ
ejpam-6163	455	6	-	-	ADJ
ejpam-6163	455	7	agent	agent	ADJ
ejpam-6163	455	8	systems	system	NOUN
ejpam-6163	455	9	under	under	ADP
ejpam-6163	455	10	directed	direct	VERB
ejpam-6163	455	11	communication	communication	NOUN
ejpam-6163	455	12	graphs	graph	NOUN
ejpam-6163	455	13	.	.	PUNCT
ejpam-6163	456	1	automatica	automatica	PROPN
ejpam-6163	456	2	,	,	PUNCT
ejpam-6163	456	3	113:108755	113:108755	NUM
ejpam-6163	456	4	,	,	PUNCT
ejpam-6163	456	5	2020	2020	NUM
ejpam-6163	456	6	.	.	PUNCT
ejpam-6163	457	1	[	[	X
ejpam-6163	457	2	11	11	NUM
ejpam-6163	457	3	]	]	X
ejpam-6163	457	4	y.	y.	PROPN
ejpam-6163	457	5	zheng	zheng	PROPN
ejpam-6163	457	6	,	,	PUNCT
ejpam-6163	457	7	j.	j.	PROPN
ejpam-6163	457	8	ma	ma	PROPN
ejpam-6163	457	9	,	,	PUNCT
ejpam-6163	457	10	and	and	CCONJ
ejpam-6163	457	11	l.	l.	PROPN
ejpam-6163	457	12	wang	wang	PROPN
ejpam-6163	457	13	.	.	PUNCT
ejpam-6163	458	1	consensus	consensus	NOUN
ejpam-6163	458	2	of	of	ADP
ejpam-6163	458	3	hybrid	hybrid	ADJ
ejpam-6163	458	4	multi	multi	ADJ
ejpam-6163	458	5	-	-	ADJ
ejpam-6163	458	6	agent	agent	ADJ
ejpam-6163	458	7	systems	system	NOUN
ejpam-6163	458	8	.	.	PUNCT
ejpam-6163	459	1	ieee	ieee	NOUN
ejpam-6163	459	2	transactions	transaction	NOUN
ejpam-6163	459	3	on	on	ADP
ejpam-6163	459	4	neural	neural	ADJ
ejpam-6163	459	5	networks	network	NOUN
ejpam-6163	459	6	and	and	CCONJ
ejpam-6163	459	7	learning	learning	NOUN
ejpam-6163	459	8	systems	system	NOUN
ejpam-6163	459	9	,	,	PUNCT
ejpam-6163	459	10	29(4):1359–1365	29(4):1359–1365	NUM
ejpam-6163	459	11	,	,	PUNCT
ejpam-6163	459	12	2018	2018	NUM
ejpam-6163	459	13	.	.	PUNCT
ejpam-6163	460	1	[	[	X
ejpam-6163	460	2	12	12	NUM
ejpam-6163	460	3	]	]	PUNCT
ejpam-6163	460	4	s.	s.	PROPN
ejpam-6163	460	5	he	he	PRON
ejpam-6163	460	6	,	,	PUNCT
ejpam-6163	460	7	w.	w.	PROPN
ejpam-6163	460	8	yu	yu	PROPN
ejpam-6163	460	9	,	,	PUNCT
ejpam-6163	460	10	y.	y.	PROPN
ejpam-6163	460	11	lv	lv	PROPN
ejpam-6163	460	12	,	,	PUNCT
ejpam-6163	460	13	z.	z.	PROPN
ejpam-6163	460	14	wang	wang	PROPN
ejpam-6163	460	15	,	,	PUNCT
ejpam-6163	460	16	and	and	CCONJ
ejpam-6163	460	17	d.	d.	PROPN
ejpam-6163	460	18	zhang	zhang	PROPN
ejpam-6163	460	19	.	.	PUNCT
ejpam-6163	461	1	consensus	consensus	NOUN
ejpam-6163	461	2	for	for	ADP
ejpam-6163	461	3	hybrid	hybrid	ADJ
ejpam-6163	461	4	multiagent	multiagent	NOUN
ejpam-6163	461	5	systems	system	NOUN
ejpam-6163	461	6	with	with	ADP
ejpam-6163	461	7	pulse	pulse	NOUN
ejpam-6163	461	8	-	-	PUNCT
ejpam-6163	461	9	modulated	modulate	VERB
ejpam-6163	461	10	protocols	protocol	NOUN
ejpam-6163	461	11	.	.	PUNCT
ejpam-6163	462	1	nonlinear	nonlinear	ADJ
ejpam-6163	462	2	analysis	analysis	NOUN
ejpam-6163	462	3	:	:	PUNCT
ejpam-6163	462	4	hybrid	hybrid	ADJ
ejpam-6163	462	5	systems	system	NOUN
ejpam-6163	462	6	,	,	PUNCT
ejpam-6163	462	7	36:100867	36:100867	NUM
ejpam-6163	462	8	,	,	PUNCT
ejpam-6163	462	9	2020	2020	NUM
ejpam-6163	462	10	.	.	PUNCT
ejpam-6163	463	1	[	[	X
ejpam-6163	463	2	13	13	NUM
ejpam-6163	463	3	]	]	X
ejpam-6163	463	4	y.	y.	PROPN
ejpam-6163	463	5	ma	ma	PROPN
ejpam-6163	463	6	,	,	PUNCT
ejpam-6163	463	7	z.	z.	PROPN
ejpam-6163	463	8	li	li	PROPN
ejpam-6163	463	9	,	,	PUNCT
ejpam-6163	463	10	y.	y.	PROPN
ejpam-6163	463	11	cao	cao	PROPN
ejpam-6163	463	12	,	,	PUNCT
ejpam-6163	463	13	and	and	CCONJ
ejpam-6163	463	14	x.	x.	PROPN
ejpam-6163	463	15	xie	xie	PROPN
ejpam-6163	463	16	.	.	PUNCT
ejpam-6163	464	1	secure	secure	VERB
ejpam-6163	464	2	output	output	NOUN
ejpam-6163	464	3	consensus	consensus	NOUN
ejpam-6163	464	4	for	for	ADP
ejpam-6163	464	5	multi	multi	ADJ
ejpam-6163	464	6	-	-	ADJ
ejpam-6163	464	7	agent	agent	ADJ
ejpam-6163	464	8	systems	system	NOUN
ejpam-6163	464	9	with	with	ADP
ejpam-6163	464	10	attacks	attack	NOUN
ejpam-6163	464	11	.	.	PUNCT
ejpam-6163	465	1	isa	isa	NOUN
ejpam-6163	465	2	transactions	transaction	NOUN
ejpam-6163	465	3	,	,	PUNCT
ejpam-6163	465	4	2024	2024	NUM
ejpam-6163	465	5	.	.	PUNCT
ejpam-6163	466	1	[	[	X
ejpam-6163	466	2	14	14	NUM
ejpam-6163	466	3	]	]	PUNCT
ejpam-6163	466	4	j.	j.	PROPN
ejpam-6163	466	5	wang	wang	PROPN
ejpam-6163	466	6	,	,	PUNCT
ejpam-6163	466	7	y.	y.	PROPN
ejpam-6163	466	8	cao	cao	PROPN
ejpam-6163	466	9	,	,	PUNCT
ejpam-6163	466	10	and	and	CCONJ
ejpam-6163	466	11	d.	d.	PROPN
ejpam-6163	466	12	w.	w.	PROPN
ejpam-6163	466	13	c.	c.	PROPN
ejpam-6163	466	14	ho	ho	PROPN
ejpam-6163	466	15	.	.	PUNCT
ejpam-6163	466	16	finite	finite	ADJ
ejpam-6163	466	17	-	-	PUNCT
ejpam-6163	466	18	time	time	NOUN
ejpam-6163	466	19	consensus	consensus	NOUN
ejpam-6163	466	20	control	control	NOUN
ejpam-6163	466	21	for	for	ADP
ejpam-6163	466	22	multi	multi	ADJ
ejpam-6163	466	23	-	-	ADJ
ejpam-6163	466	24	agent	agent	ADJ
ejpam-6163	466	25	systems	system	NOUN
ejpam-6163	466	26	via	via	ADP
ejpam-6163	466	27	a	a	DET
ejpam-6163	466	28	distributed	distribute	VERB
ejpam-6163	466	29	observer	observer	NOUN
ejpam-6163	466	30	approach	approach	NOUN
ejpam-6163	466	31	.	.	PUNCT
ejpam-6163	467	1	ieee	ieee	NOUN
ejpam-6163	467	2	transactions	transaction	NOUN
ejpam-6163	467	3	on	on	ADP
ejpam-6163	467	4	automatic	automatic	ADJ
ejpam-6163	467	5	control	control	NOUN
ejpam-6163	467	6	,	,	PUNCT
ejpam-6163	467	7	67(8):4131–4138	67(8):4131–4138	NUM
ejpam-6163	467	8	,	,	PUNCT
ejpam-6163	467	9	2022	2022	NUM
ejpam-6163	467	10	.	.	PUNCT
ejpam-6163	468	1	[	[	X
ejpam-6163	468	2	15	15	NUM
ejpam-6163	468	3	]	]	X
ejpam-6163	468	4	z.	z.	PROPN
ejpam-6163	468	5	xie	xie	PROPN
ejpam-6163	468	6	and	and	CCONJ
ejpam-6163	468	7	t.	t.	PROPN
ejpam-6163	468	8	chu	chu	PROPN
ejpam-6163	468	9	.	.	PUNCT
ejpam-6163	469	1	finite	finite	ADJ
ejpam-6163	469	2	-	-	PUNCT
ejpam-6163	469	3	time	time	NOUN
ejpam-6163	469	4	consensus	consensus	NOUN
ejpam-6163	469	5	of	of	ADP
ejpam-6163	469	6	nonlinear	nonlinear	ADJ
ejpam-6163	469	7	multi	multi	ADJ
ejpam-6163	469	8	-	-	ADJ
ejpam-6163	469	9	agent	agent	ADJ
ejpam-6163	469	10	systems	system	NOUN
ejpam-6163	469	11	via	via	ADP
ejpam-6163	469	12	a	a	DET
ejpam-6163	469	13	novel	novel	ADJ
ejpam-6163	469	14	adaptive	adaptive	ADJ
ejpam-6163	469	15	control	control	NOUN
ejpam-6163	469	16	scheme	scheme	NOUN
ejpam-6163	469	17	.	.	PUNCT
ejpam-6163	470	1	international	international	ADJ
ejpam-6163	470	2	journal	journal	NOUN
ejpam-6163	470	3	of	of	ADP
ejpam-6163	470	4	robust	robust	ADJ
ejpam-6163	470	5	and	and	CCONJ
ejpam-6163	470	6	nonlinear	nonlinear	ADJ
ejpam-6163	470	7	control	control	NOUN
ejpam-6163	470	8	,	,	PUNCT
ejpam-6163	470	9	31(15):7834–7849	31(15):7834–7849	NUM
ejpam-6163	470	10	,	,	PUNCT
ejpam-6163	470	11	2021	2021	NUM
ejpam-6163	470	12	.	.	PUNCT
ejpam-6163	471	1	[	[	X
ejpam-6163	471	2	16	16	NUM
ejpam-6163	471	3	]	]	PUNCT
ejpam-6163	471	4	m.	m.	NOUN
ejpam-6163	471	5	donganont	donganont	PROPN
ejpam-6163	471	6	.	.	PUNCT
ejpam-6163	472	1	scaled	scale	VERB
ejpam-6163	472	2	consensus	consensus	NOUN
ejpam-6163	472	3	of	of	ADP
ejpam-6163	472	4	hybrid	hybrid	ADJ
ejpam-6163	472	5	multi	multi	ADJ
ejpam-6163	472	6	-	-	ADJ
ejpam-6163	472	7	agent	agent	ADJ
ejpam-6163	472	8	systems	system	NOUN
ejpam-6163	472	9	via	via	ADP
ejpam-6163	472	10	impulsive	impulsive	ADJ
ejpam-6163	472	11	protocols	protocol	NOUN
ejpam-6163	472	12	.	.	PUNCT
ejpam-6163	473	1	journal	journal	NOUN
ejpam-6163	473	2	of	of	ADP
ejpam-6163	473	3	mathematics	mathematic	NOUN
ejpam-6163	473	4	and	and	CCONJ
ejpam-6163	473	5	computer	computer	NOUN
ejpam-6163	473	6	science	science	NOUN
ejpam-6163	473	7	,	,	PUNCT
ejpam-6163	473	8	36(3):275–289	36(3):275–289	PROPN
ejpam-6163	473	9	,	,	PUNCT
ejpam-6163	473	10	2025	2025	NUM
ejpam-6163	473	11	.	.	PUNCT
ejpam-6163	474	1	[	[	X
ejpam-6163	474	2	17	17	NUM
ejpam-6163	474	3	]	]	X
ejpam-6163	474	4	q.	q.	PROPN
ejpam-6163	474	5	xiao	xiao	PROPN
ejpam-6163	474	6	and	and	CCONJ
ejpam-6163	474	7	z.	z.	PROPN
ejpam-6163	474	8	huang	huang	PROPN
ejpam-6163	474	9	.	.	PUNCT
ejpam-6163	475	1	consensus	consensus	NOUN
ejpam-6163	475	2	of	of	ADP
ejpam-6163	475	3	multi	multi	ADJ
ejpam-6163	475	4	-	-	ADJ
ejpam-6163	475	5	agent	agent	ADJ
ejpam-6163	475	6	system	system	NOUN
ejpam-6163	475	7	with	with	ADP
ejpam-6163	475	8	distributed	distribute	VERB
ejpam-6163	475	9	eventtriggered	eventtriggere	VERB
ejpam-6163	475	10	protocols	protocol	NOUN
ejpam-6163	475	11	.	.	PUNCT
ejpam-6163	476	1	applied	apply	VERB
ejpam-6163	476	2	mathematics	mathematic	NOUN
ejpam-6163	476	3	and	and	CCONJ
ejpam-6163	476	4	computation	computation	NOUN
ejpam-6163	476	5	,	,	PUNCT
ejpam-6163	476	6	277:54–71	277:54–71	NUM
ejpam-6163	476	7	,	,	PUNCT
ejpam-6163	476	8	2016	2016	NUM
ejpam-6163	476	9	.	.	PUNCT
ejpam-6163	477	1	[	[	X
ejpam-6163	477	2	18	18	NUM
ejpam-6163	477	3	]	]	X
ejpam-6163	477	4	s.	s.	PROPN
ejpam-6163	477	5	donganont	donganont	PROPN
ejpam-6163	477	6	,	,	PUNCT
ejpam-6163	477	7	u.	u.	NOUN
ejpam-6163	477	8	witthayarat	witthayarat	NOUN
ejpam-6163	477	9	,	,	PUNCT
ejpam-6163	477	10	and	and	CCONJ
ejpam-6163	477	11	m.	m.	NOUN
ejpam-6163	477	12	donganont	donganont	PROPN
ejpam-6163	477	13	.	.	PUNCT
ejpam-6163	478	1	impulsive	impulsive	ADJ
ejpam-6163	478	2	protocols	protocol	NOUN
ejpam-6163	478	3	for	for	ADP
ejpam-6163	478	4	scaled	scale	VERB
ejpam-6163	478	5	consensus	consensus	NOUN
ejpam-6163	478	6	in	in	ADP
ejpam-6163	478	7	edge	edge	NOUN
ejpam-6163	478	8	-	-	PUNCT
ejpam-6163	478	9	dynamic	dynamic	ADJ
ejpam-6163	478	10	multi	multi	ADJ
ejpam-6163	478	11	-	-	ADJ
ejpam-6163	478	12	agent	agent	ADJ
ejpam-6163	478	13	systems	system	NOUN
ejpam-6163	478	14	.	.	PUNCT
ejpam-6163	479	1	european	european	ADJ
ejpam-6163	479	2	journal	journal	PROPN
ejpam-6163	479	3	of	of	ADP
ejpam-6163	479	4	pure	pure	ADJ
ejpam-6163	479	5	and	and	CCONJ
ejpam-6163	479	6	applied	applied	ADJ
ejpam-6163	479	7	mathematics	mathematic	NOUN
ejpam-6163	479	8	,	,	PUNCT
ejpam-6163	479	9	18(1):5755–5755	18(1):5755–5755	NUM
ejpam-6163	479	10	,	,	PUNCT
ejpam-6163	479	11	2025	2025	NUM
ejpam-6163	479	12	.	.	PUNCT
ejpam-6163	480	1	[	[	X
ejpam-6163	480	2	19	19	NUM
ejpam-6163	480	3	]	]	PUNCT
ejpam-6163	480	4	m.	m.	NOUN
ejpam-6163	480	5	donganont	donganont	PROPN
ejpam-6163	480	6	.	.	PUNCT
ejpam-6163	481	1	leader	leader	NOUN
ejpam-6163	481	2	-	-	PUNCT
ejpam-6163	481	3	following	follow	VERB
ejpam-6163	481	4	finite	finite	ADJ
ejpam-6163	481	5	-	-	PUNCT
ejpam-6163	481	6	time	time	NOUN
ejpam-6163	481	7	scaled	scaled	ADJ
ejpam-6163	481	8	consensus	consensus	NOUN
ejpam-6163	481	9	problems	problem	NOUN
ejpam-6163	481	10	in	in	ADP
ejpam-6163	481	11	multi	multi	ADJ
ejpam-6163	481	12	-	-	ADJ
ejpam-6163	481	13	agent	agent	ADJ
ejpam-6163	481	14	systems	system	NOUN
ejpam-6163	481	15	.	.	PUNCT
ejpam-6163	482	1	journal	journal	NOUN
ejpam-6163	482	2	of	of	ADP
ejpam-6163	482	3	mathematics	mathematic	NOUN
ejpam-6163	482	4	and	and	CCONJ
ejpam-6163	482	5	computer	computer	NOUN
ejpam-6163	482	6	science	science	NOUN
ejpam-6163	482	7	,	,	PUNCT
ejpam-6163	482	8	38(4):464–478	38(4):464–478	PROPN
ejpam-6163	482	9	,	,	PUNCT
ejpam-6163	482	10	2025	2025	NUM
ejpam-6163	482	11	.	.	PUNCT
ejpam-6163	483	1	[	[	X
ejpam-6163	483	2	20	20	NUM
ejpam-6163	483	3	]	]	PUNCT
ejpam-6163	483	4	m.	m.	PROPN
ejpam-6163	483	5	r.	r.	PROPN
ejpam-6163	483	6	hestenes	hestenes	PROPN
ejpam-6163	483	7	and	and	CCONJ
ejpam-6163	483	8	e.	e.	PROPN
ejpam-6163	483	9	stiefel	stiefel	PROPN
ejpam-6163	483	10	.	.	PUNCT
ejpam-6163	484	1	methods	method	NOUN
ejpam-6163	484	2	of	of	ADP
ejpam-6163	484	3	conjugate	conjugate	ADJ
ejpam-6163	484	4	gradients	gradient	NOUN
ejpam-6163	484	5	for	for	ADP
ejpam-6163	484	6	solving	solve	VERB
ejpam-6163	484	7	linear	linear	NOUN
ejpam-6163	484	8	systems	system	NOUN
ejpam-6163	484	9	.	.	PUNCT
ejpam-6163	485	1	journal	journal	PROPN
ejpam-6163	485	2	of	of	ADP
ejpam-6163	485	3	research	research	NOUN
ejpam-6163	485	4	of	of	ADP
ejpam-6163	485	5	the	the	DET
ejpam-6163	485	6	national	national	PROPN
ejpam-6163	485	7	bureau	bureau	PROPN
ejpam-6163	485	8	of	of	ADP
ejpam-6163	485	9	standards	standard	NOUN
ejpam-6163	485	10	,	,	PUNCT
ejpam-6163	485	11	49(6):409–436	49(6):409–436	NOUN
ejpam-6163	485	12	,	,	PUNCT
ejpam-6163	485	13	1952	1952	NUM
ejpam-6163	485	14	.	.	PUNCT
ejpam-6163	486	1	[	[	X
ejpam-6163	486	2	21	21	NUM
ejpam-6163	486	3	]	]	X
ejpam-6163	486	4	o.	o.	PROPN
ejpam-6163	486	5	axelsson	axelsson	PROPN
ejpam-6163	486	6	and	and	CCONJ
ejpam-6163	486	7	v.	v.	ADP
ejpam-6163	486	8	a.	a.	PROPN
ejpam-6163	486	9	barker	barker	PROPN
ejpam-6163	486	10	.	.	PUNCT
ejpam-6163	487	1	finite	finite	PROPN
ejpam-6163	487	2	element	element	NOUN
ejpam-6163	487	3	solution	solution	NOUN
ejpam-6163	487	4	of	of	ADP
ejpam-6163	487	5	boundary	boundary	ADJ
ejpam-6163	487	6	value	value	NOUN
ejpam-6163	487	7	problems	problem	NOUN
ejpam-6163	487	8	:	:	PUNCT
ejpam-6163	487	9	theory	theory	NOUN
ejpam-6163	487	10	and	and	CCONJ
ejpam-6163	487	11	computation	computation	NOUN
ejpam-6163	487	12	.	.	PUNCT
ejpam-6163	488	1	siam	siam	PROPN
ejpam-6163	488	2	,	,	PUNCT
ejpam-6163	488	3	usa	usa	PROPN
ejpam-6163	488	4	,	,	PUNCT
ejpam-6163	488	5	2001	2001	NUM
ejpam-6163	488	6	.	.	PUNCT
ejpam-6163	489	1	[	[	X
ejpam-6163	489	2	22	22	NUM
ejpam-6163	489	3	]	]	X
ejpam-6163	489	4	c.	c.	NOUN
ejpam-6163	489	5	godsil	godsil	PROPN
ejpam-6163	489	6	and	and	CCONJ
ejpam-6163	489	7	g.	g.	PROPN
ejpam-6163	489	8	royle	royle	PROPN
ejpam-6163	489	9	.	.	PUNCT
ejpam-6163	490	1	algebraic	algebraic	ADJ
ejpam-6163	490	2	graph	graph	NOUN
ejpam-6163	490	3	theory	theory	NOUN
ejpam-6163	490	4	.	.	PUNCT
ejpam-6163	491	1	,	,	PUNCT
ejpam-6163	491	2	volume	volume	NOUN
ejpam-6163	491	3	207	207	NUM
ejpam-6163	491	4	.	.	PUNCT
ejpam-6163	492	1	springer	springer	NOUN
ejpam-6163	492	2	,	,	PUNCT
ejpam-6163	492	3	2001	2001	NUM
ejpam-6163	492	4	.	.	PUNCT
ejpam-6163	493	1	[	[	X
ejpam-6163	493	2	23	23	NUM
ejpam-6163	493	3	]	]	X
ejpam-6163	493	4	r.	r.	PROPN
ejpam-6163	493	5	a.	a.	PROPN
ejpam-6163	493	6	horn	horn	PROPN
ejpam-6163	493	7	and	and	CCONJ
ejpam-6163	493	8	c.	c.	PROPN
ejpam-6163	493	9	r.	r.	PROPN
ejpam-6163	493	10	johnson	johnson	PROPN
ejpam-6163	493	11	.	.	PUNCT
ejpam-6163	494	1	matrix	matrix	NOUN
ejpam-6163	494	2	analysis	analysis	NOUN
ejpam-6163	494	3	.	.	PUNCT
ejpam-6163	495	1	cambridge	cambridge	PROPN
ejpam-6163	495	2	university	university	PROPN
ejpam-6163	495	3	press	press	PROPN
ejpam-6163	495	4	,	,	PUNCT
ejpam-6163	495	5	new	new	PROPN
ejpam-6163	495	6	york	york	PROPN
ejpam-6163	495	7	,	,	PUNCT
ejpam-6163	495	8	ny	ny	PROPN
ejpam-6163	495	9	,	,	PUNCT
ejpam-6163	495	10	usa	usa	PROPN
ejpam-6163	495	11	,	,	PUNCT
ejpam-6163	495	12	2nd	2nd	PROPN
ejpam-6163	495	13	edition	edition	NOUN
ejpam-6163	495	14	,	,	PUNCT
ejpam-6163	495	15	2012	2012	NUM
ejpam-6163	495	16	.	.	PUNCT