id	sid	tid	token	lemma	pos
ejpam-3848	1	1	european	european	PROPN
ejpam-3848	1	2	journal	journal	PROPN
ejpam-3848	1	3	of	of	ADP
ejpam-3848	1	4	pure	pure	ADJ
ejpam-3848	1	5	and	and	CCONJ
ejpam-3848	1	6	applied	apply	VERB
ejpam-3848	1	7	mathematics	mathematic	NOUN
ejpam-3848	1	8	vol	vol	NOUN
ejpam-3848	1	9	.	.	PROPN
ejpam-3848	2	1	13	13	NUM
ejpam-3848	2	2	,	,	PUNCT
ejpam-3848	2	3	no	no	INTJ
ejpam-3848	2	4	.	.	NOUN
ejpam-3848	2	5	4	4	NUM
ejpam-3848	2	6	,	,	PUNCT
ejpam-3848	2	7	2020	2020	NUM
ejpam-3848	2	8	,	,	PUNCT
ejpam-3848	2	9	794	794	NUM
ejpam-3848	2	10	-	-	SYM
ejpam-3848	2	11	806	806	NUM
ejpam-3848	2	12	issn	issn	PROPN
ejpam-3848	2	13	1307	1307	NUM
ejpam-3848	2	14	-	-	SYM
ejpam-3848	2	15	5543	5543	NUM
ejpam-3848	2	16	–	–	PUNCT
ejpam-3848	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3848	2	18	published	publish	VERB
ejpam-3848	2	19	by	by	ADP
ejpam-3848	2	20	new	new	PROPN
ejpam-3848	2	21	york	york	PROPN
ejpam-3848	2	22	business	business	PROPN
ejpam-3848	2	23	global	global	ADJ
ejpam-3848	2	24	robust	robust	ADJ
ejpam-3848	2	25	exponential	exponential	ADJ
ejpam-3848	2	26	stability	stability	NOUN
ejpam-3848	2	27	of	of	ADP
ejpam-3848	2	28	recurrent	recurrent	ADJ
ejpam-3848	2	29	neural	neural	ADJ
ejpam-3848	2	30	networks	network	NOUN
ejpam-3848	2	31	with	with	ADP
ejpam-3848	2	32	deviating	deviate	VERB
ejpam-3848	2	33	argument	argument	NOUN
ejpam-3848	2	34	and	and	CCONJ
ejpam-3848	2	35	stochastic	stochastic	ADJ
ejpam-3848	2	36	disturbance	disturbance	NOUN
ejpam-3848	2	37	zha	zha	NOUN
ejpam-3848	2	38	mingxin1	mingxin1	NOUN
ejpam-3848	2	39	,	,	PUNCT
ejpam-3848	2	40	si	si	PROPN
ejpam-3848	2	41	wenxiao1	wenxiao1	PROPN
ejpam-3848	2	42	,	,	PUNCT
ejpam-3848	2	43	xie	xie	PROPN
ejpam-3848	2	44	tao1,∗	tao1,∗	PROPN
ejpam-3848	2	45	1	1	NUM
ejpam-3848	2	46	hubei	hubei	PROPN
ejpam-3848	2	47	normal	normal	ADJ
ejpam-3848	2	48	university	university	NOUN
ejpam-3848	2	49	,	,	PUNCT
ejpam-3848	2	50	college	college	NOUN
ejpam-3848	2	51	of	of	ADP
ejpam-3848	2	52	mathematics	mathematic	NOUN
ejpam-3848	2	53	and	and	CCONJ
ejpam-3848	2	54	statistics	statistic	NOUN
ejpam-3848	2	55	,	,	PUNCT
ejpam-3848	2	56	huangshi	huangshi	PROPN
ejpam-3848	2	57	,	,	PUNCT
ejpam-3848	2	58	china	china	PROPN
ejpam-3848	2	59	abstract	abstract	NOUN
ejpam-3848	2	60	.	.	PUNCT
ejpam-3848	3	1	it	it	PRON
ejpam-3848	3	2	is	be	AUX
ejpam-3848	3	3	well	well	ADV
ejpam-3848	3	4	known	know	VERB
ejpam-3848	3	5	that	that	SCONJ
ejpam-3848	3	6	deviating	deviate	VERB
ejpam-3848	3	7	argument	argument	NOUN
ejpam-3848	3	8	and	and	CCONJ
ejpam-3848	3	9	stochastic	stochastic	ADJ
ejpam-3848	3	10	disturbance	disturbance	NOUN
ejpam-3848	3	11	may	may	AUX
ejpam-3848	3	12	derail	derail	VERB
ejpam-3848	3	13	the	the	DET
ejpam-3848	3	14	stability	stability	NOUN
ejpam-3848	3	15	of	of	ADP
ejpam-3848	3	16	recurrent	recurrent	ADJ
ejpam-3848	3	17	neural	neural	ADJ
ejpam-3848	3	18	networks	network	NOUN
ejpam-3848	3	19	(	(	PUNCT
ejpam-3848	3	20	rnns	rnns	PROPN
ejpam-3848	3	21	)	)	PUNCT
ejpam-3848	3	22	.	.	PUNCT
ejpam-3848	4	1	this	this	DET
ejpam-3848	4	2	paper	paper	NOUN
ejpam-3848	4	3	discusses	discuss	VERB
ejpam-3848	4	4	the	the	DET
ejpam-3848	4	5	robustness	robustness	NOUN
ejpam-3848	4	6	of	of	ADP
ejpam-3848	4	7	global	global	ADJ
ejpam-3848	4	8	exponential	exponential	ADJ
ejpam-3848	4	9	stability	stability	NOUN
ejpam-3848	4	10	(	(	PUNCT
ejpam-3848	4	11	ges	ge	NOUN
ejpam-3848	4	12	)	)	PUNCT
ejpam-3848	4	13	of	of	ADP
ejpam-3848	4	14	rnns	rnn	NOUN
ejpam-3848	4	15	accompanied	accompany	VERB
ejpam-3848	4	16	with	with	ADP
ejpam-3848	4	17	deviating	deviate	VERB
ejpam-3848	4	18	argument	argument	NOUN
ejpam-3848	4	19	and	and	CCONJ
ejpam-3848	4	20	stochastic	stochastic	ADJ
ejpam-3848	4	21	disturbance	disturbance	NOUN
ejpam-3848	4	22	.	.	PUNCT
ejpam-3848	5	1	for	for	ADP
ejpam-3848	5	2	a	a	DET
ejpam-3848	5	3	given	give	VERB
ejpam-3848	5	4	global	global	ADJ
ejpam-3848	5	5	exponentially	exponentially	ADV
ejpam-3848	5	6	stable	stable	ADJ
ejpam-3848	5	7	rnns	rnn	NOUN
ejpam-3848	5	8	,	,	PUNCT
ejpam-3848	5	9	it	it	PRON
ejpam-3848	5	10	is	be	AUX
ejpam-3848	5	11	interesting	interesting	ADJ
ejpam-3848	5	12	to	to	PART
ejpam-3848	5	13	know	know	VERB
ejpam-3848	5	14	how	how	SCONJ
ejpam-3848	5	15	much	much	ADJ
ejpam-3848	5	16	the	the	DET
ejpam-3848	5	17	length	length	NOUN
ejpam-3848	5	18	of	of	ADP
ejpam-3848	5	19	the	the	DET
ejpam-3848	5	20	interval	interval	NOUN
ejpam-3848	5	21	of	of	ADP
ejpam-3848	5	22	piecewise	piecewise	NOUN
ejpam-3848	5	23	function	function	NOUN
ejpam-3848	5	24	and	and	CCONJ
ejpam-3848	5	25	the	the	DET
ejpam-3848	5	26	interference	interference	NOUN
ejpam-3848	5	27	intensity	intensity	NOUN
ejpam-3848	5	28	so	so	SCONJ
ejpam-3848	5	29	that	that	SCONJ
ejpam-3848	5	30	the	the	DET
ejpam-3848	5	31	disturbed	disturbed	ADJ
ejpam-3848	5	32	system	system	NOUN
ejpam-3848	5	33	may	may	AUX
ejpam-3848	5	34	still	still	ADV
ejpam-3848	5	35	be	be	AUX
ejpam-3848	5	36	exponentially	exponentially	ADV
ejpam-3848	5	37	stable	stable	ADJ
ejpam-3848	5	38	.	.	PUNCT
ejpam-3848	6	1	the	the	DET
ejpam-3848	6	2	available	available	ADJ
ejpam-3848	6	3	upper	upper	ADJ
ejpam-3848	6	4	boundary	boundary	NOUN
ejpam-3848	6	5	of	of	ADP
ejpam-3848	6	6	the	the	DET
ejpam-3848	6	7	range	range	NOUN
ejpam-3848	6	8	of	of	ADP
ejpam-3848	6	9	piecewise	piecewise	NOUN
ejpam-3848	6	10	variables	variable	NOUN
ejpam-3848	6	11	and	and	CCONJ
ejpam-3848	6	12	the	the	DET
ejpam-3848	6	13	interference	interference	NOUN
ejpam-3848	6	14	intensity	intensity	NOUN
ejpam-3848	6	15	in	in	ADP
ejpam-3848	6	16	the	the	DET
ejpam-3848	6	17	disturbed	disturbed	ADJ
ejpam-3848	6	18	rnns	rnn	NOUN
ejpam-3848	6	19	to	to	PART
ejpam-3848	6	20	keep	keep	VERB
ejpam-3848	6	21	ges	ge	NOUN
ejpam-3848	6	22	are	be	AUX
ejpam-3848	6	23	the	the	DET
ejpam-3848	6	24	solutions	solution	NOUN
ejpam-3848	6	25	of	of	ADP
ejpam-3848	6	26	some	some	DET
ejpam-3848	6	27	transcendental	transcendental	ADJ
ejpam-3848	6	28	equations	equation	NOUN
ejpam-3848	6	29	.	.	PUNCT
ejpam-3848	7	1	finally	finally	ADV
ejpam-3848	7	2	,	,	PUNCT
ejpam-3848	7	3	some	some	DET
ejpam-3848	7	4	examples	example	NOUN
ejpam-3848	7	5	are	be	AUX
ejpam-3848	7	6	provided	provide	VERB
ejpam-3848	7	7	to	to	PART
ejpam-3848	7	8	demonstrate	demonstrate	VERB
ejpam-3848	7	9	the	the	DET
ejpam-3848	7	10	efficacy	efficacy	NOUN
ejpam-3848	7	11	of	of	ADP
ejpam-3848	7	12	the	the	DET
ejpam-3848	7	13	inferential	inferential	ADJ
ejpam-3848	7	14	results	result	NOUN
ejpam-3848	7	15	.	.	PUNCT
ejpam-3848	8	1	2020	2020	NUM
ejpam-3848	8	2	mathematics	mathematic	NOUN
ejpam-3848	8	3	subject	subject	NOUN
ejpam-3848	8	4	classifications	classification	NOUN
ejpam-3848	8	5	:	:	PUNCT
ejpam-3848	8	6	34a34	34a34	NUM
ejpam-3848	8	7	,	,	PUNCT
ejpam-3848	8	8	34a50	34a50	NUM
ejpam-3848	8	9	,	,	PUNCT
ejpam-3848	8	10	58a10	58a10	NUM
ejpam-3848	8	11	,	,	PUNCT
ejpam-3848	8	12	93c10	93c10	NOUN
ejpam-3848	8	13	key	key	ADJ
ejpam-3848	8	14	words	word	NOUN
ejpam-3848	8	15	and	and	CCONJ
ejpam-3848	8	16	phrases	phrase	NOUN
ejpam-3848	8	17	:	:	PUNCT
ejpam-3848	8	18	robustness	robustness	NOUN
ejpam-3848	8	19	,	,	PUNCT
ejpam-3848	8	20	recurrent	recurrent	ADJ
ejpam-3848	8	21	neural	neural	ADJ
ejpam-3848	8	22	networks	network	NOUN
ejpam-3848	8	23	,	,	PUNCT
ejpam-3848	8	24	deviating	deviate	VERB
ejpam-3848	8	25	argument	argument	NOUN
ejpam-3848	8	26	,	,	PUNCT
ejpam-3848	8	27	stochastic	stochastic	ADJ
ejpam-3848	8	28	disturbance	disturbance	NOUN
ejpam-3848	8	29	1	1	NUM
ejpam-3848	8	30	.	.	PUNCT
ejpam-3848	8	31	introduction	introduction	NOUN
ejpam-3848	8	32	as	as	ADP
ejpam-3848	8	33	a	a	DET
ejpam-3848	8	34	kind	kind	NOUN
ejpam-3848	8	35	of	of	ADP
ejpam-3848	8	36	nonlinear	nonlinear	ADJ
ejpam-3848	8	37	dynamic	dynamic	ADJ
ejpam-3848	8	38	system	system	NOUN
ejpam-3848	8	39	,	,	PUNCT
ejpam-3848	8	40	the	the	DET
ejpam-3848	8	41	stability	stability	NOUN
ejpam-3848	8	42	of	of	ADP
ejpam-3848	8	43	recurrent	recurrent	ADJ
ejpam-3848	8	44	neural	neural	ADJ
ejpam-3848	8	45	networks	network	NOUN
ejpam-3848	8	46	(	(	PUNCT
ejpam-3848	8	47	rnns	rnns	PROPN
ejpam-3848	8	48	)	)	PUNCT
ejpam-3848	8	49	mainly	mainly	ADV
ejpam-3848	8	50	rely	rely	VERB
ejpam-3848	8	51	on	on	ADP
ejpam-3848	8	52	its	its	PRON
ejpam-3848	8	53	parameter	parameter	NOUN
ejpam-3848	8	54	allocation	allocation	NOUN
ejpam-3848	8	55	[	[	X
ejpam-3848	8	56	5	5	NUM
ejpam-3848	8	57	,	,	PUNCT
ejpam-3848	8	58	7	7	NUM
ejpam-3848	8	59	,	,	PUNCT
ejpam-3848	8	60	18	18	NUM
ejpam-3848	8	61	,	,	PUNCT
ejpam-3848	8	62	27	27	NUM
ejpam-3848	8	63	]	]	PUNCT
ejpam-3848	8	64	.	.	PUNCT
ejpam-3848	9	1	it	it	PRON
ejpam-3848	9	2	is	be	AUX
ejpam-3848	9	3	known	know	VERB
ejpam-3848	9	4	that	that	SCONJ
ejpam-3848	9	5	arbitrary	arbitrary	ADJ
ejpam-3848	9	6	perturbations	perturbation	NOUN
ejpam-3848	9	7	and	and	CCONJ
ejpam-3848	9	8	various	various	ADJ
ejpam-3848	9	9	time	time	NOUN
ejpam-3848	9	10	delays	delay	NOUN
ejpam-3848	9	11	in	in	ADP
ejpam-3848	9	12	the	the	DET
ejpam-3848	9	13	process	process	NOUN
ejpam-3848	9	14	of	of	ADP
ejpam-3848	9	15	neuron	neuron	NOUN
ejpam-3848	9	16	activation	activation	NOUN
ejpam-3848	9	17	may	may	AUX
ejpam-3848	9	18	led	lead	VERB
ejpam-3848	9	19	to	to	ADP
ejpam-3848	9	20	instability	instability	NOUN
ejpam-3848	9	21	or	or	CCONJ
ejpam-3848	9	22	oscillation	oscillation	NOUN
ejpam-3848	9	23	of	of	ADP
ejpam-3848	9	24	rnns	rnns	NOUN
ejpam-3848	9	25	[	[	X
ejpam-3848	9	26	3	3	NUM
ejpam-3848	9	27	,	,	PUNCT
ejpam-3848	9	28	4	4	NUM
ejpam-3848	9	29	,	,	PUNCT
ejpam-3848	9	30	12	12	NUM
ejpam-3848	9	31	,	,	PUNCT
ejpam-3848	9	32	14	14	NUM
ejpam-3848	9	33	]	]	PUNCT
ejpam-3848	9	34	.	.	PUNCT
ejpam-3848	10	1	piecewise	piecewise	NOUN
ejpam-3848	10	2	argument	argument	NOUN
ejpam-3848	10	3	,	,	PUNCT
ejpam-3848	10	4	unifying	unify	VERB
ejpam-3848	10	5	the	the	DET
ejpam-3848	10	6	advanced	advanced	ADJ
ejpam-3848	10	7	and	and	CCONJ
ejpam-3848	10	8	hysteretic	hysteretic	ADJ
ejpam-3848	10	9	arguments	argument	NOUN
ejpam-3848	10	10	[	[	X
ejpam-3848	10	11	13	13	NUM
ejpam-3848	10	12	,	,	PUNCT
ejpam-3848	10	13	21	21	NUM
ejpam-3848	10	14	,	,	PUNCT
ejpam-3848	10	15	26	26	NUM
ejpam-3848	10	16	]	]	PUNCT
ejpam-3848	10	17	,	,	PUNCT
ejpam-3848	10	18	is	be	AUX
ejpam-3848	10	19	one	one	NUM
ejpam-3848	10	20	of	of	ADP
ejpam-3848	10	21	the	the	DET
ejpam-3848	10	22	nonlinear	nonlinear	ADJ
ejpam-3848	10	23	non	non	ADJ
ejpam-3848	10	24	-	-	ADJ
ejpam-3848	10	25	smooth	smooth	ADJ
ejpam-3848	10	26	actuators	actuator	NOUN
ejpam-3848	10	27	that	that	PRON
ejpam-3848	10	28	play	play	VERB
ejpam-3848	10	29	an	an	DET
ejpam-3848	10	30	important	important	ADJ
ejpam-3848	10	31	role	role	NOUN
ejpam-3848	10	32	in	in	ADP
ejpam-3848	10	33	the	the	DET
ejpam-3848	10	34	operation	operation	NOUN
ejpam-3848	10	35	of	of	ADP
ejpam-3848	10	36	a	a	DET
ejpam-3848	10	37	nonlinear	nonlinear	ADJ
ejpam-3848	10	38	system	system	NOUN
ejpam-3848	10	39	[	[	X
ejpam-3848	10	40	2	2	NUM
ejpam-3848	10	41	,	,	PUNCT
ejpam-3848	10	42	22–25	22–25	NUM
ejpam-3848	10	43	]	]	PUNCT
ejpam-3848	10	44	.	.	PUNCT
ejpam-3848	11	1	for	for	ADP
ejpam-3848	11	2	example	example	NOUN
ejpam-3848	11	3	,	,	PUNCT
ejpam-3848	11	4	in	in	ADP
ejpam-3848	11	5	order	order	NOUN
ejpam-3848	11	6	to	to	PART
ejpam-3848	11	7	describe	describe	VERB
ejpam-3848	11	8	the	the	DET
ejpam-3848	11	9	stationary	stationary	ADJ
ejpam-3848	11	10	state	state	NOUN
ejpam-3848	11	11	of	of	ADP
ejpam-3848	11	12	the	the	DET
ejpam-3848	11	13	wire	wire	NOUN
ejpam-3848	11	14	length	length	NOUN
ejpam-3848	11	15	temperature	temperature	NOUN
ejpam-3848	11	16	,	,	PUNCT
ejpam-3848	11	17	the	the	DET
ejpam-3848	11	18	nonlinear	nonlinear	ADJ
ejpam-3848	11	19	dynamic	dynamic	ADJ
ejpam-3848	11	20	model	model	NOUN
ejpam-3848	11	21	with	with	ADP
ejpam-3848	11	22	deviation	deviation	NOUN
ejpam-3848	11	23	parameters	parameter	NOUN
ejpam-3848	11	24	may	may	AUX
ejpam-3848	11	25	be	be	AUX
ejpam-3848	11	26	used	use	VERB
ejpam-3848	11	27	for	for	ADP
ejpam-3848	11	28	better	well	ADV
ejpam-3848	11	29	fitting	fitting	ADJ
ejpam-3848	11	30	.	.	PUNCT
ejpam-3848	12	1	stochastic	stochastic	ADJ
ejpam-3848	12	2	disturbance	disturbance	NOUN
ejpam-3848	12	3	,	,	PUNCT
ejpam-3848	12	4	which	which	PRON
ejpam-3848	12	5	is	be	AUX
ejpam-3848	12	6	hardly	hardly	ADV
ejpam-3848	12	7	avoided	avoid	VERB
ejpam-3848	12	8	in	in	ADP
ejpam-3848	12	9	some	some	DET
ejpam-3848	12	10	real	real	ADJ
ejpam-3848	12	11	applications	application	NOUN
ejpam-3848	12	12	considered	consider	VERB
ejpam-3848	12	13	in	in	ADP
ejpam-3848	12	14	some	some	DET
ejpam-3848	12	15	nonlinear	nonlinear	ADJ
ejpam-3848	12	16	systems	system	NOUN
ejpam-3848	12	17	,	,	PUNCT
ejpam-3848	12	18	nontrivially	nontrivially	ADV
ejpam-3848	12	19	generalizes	generalize	VERB
ejpam-3848	12	20	the	the	DET
ejpam-3848	12	21	classical	classical	ADJ
ejpam-3848	12	22	∗corresponding	∗corresponding	NOUN
ejpam-3848	12	23	author	author	NOUN
ejpam-3848	12	24	.	.	PUNCT
ejpam-3848	13	1	doi	doi	NOUN
ejpam-3848	13	2	:	:	PUNCT
ejpam-3848	13	3	https://doi.org/10.29020/nybg.ejpam.v13i4.3848	https://doi.org/10.29020/nybg.ejpam.v13i4.3848	PROPN
ejpam-3848	13	4	email	email	NOUN
ejpam-3848	13	5	addresses	address	NOUN
ejpam-3848	13	6	:	:	PUNCT
ejpam-3848	13	7	xietao1294@sina.com	xietao1294@sina.com	X
ejpam-3848	14	1	(	(	PUNCT
ejpam-3848	14	2	xie	xie	PROPN
ejpam-3848	14	3	tao	tao	PROPN
ejpam-3848	14	4	)	)	PUNCT
ejpam-3848	14	5	,	,	PUNCT
ejpam-3848	15	1	chamingxin@163.com	chamingxin@163.com	PROPN
ejpam-3848	15	2	(	(	PUNCT
ejpam-3848	15	3	z.	z.	PROPN
ejpam-3848	15	4	mingxin	mingxin	PROPN
ejpam-3848	15	5	)	)	PUNCT
ejpam-3848	15	6	,	,	PUNCT
ejpam-3848	15	7	2673430651@qq.com	2673430651@qq.com	NUM
ejpam-3848	15	8	(	(	PUNCT
ejpam-3848	15	9	s.	s.	PROPN
ejpam-3848	15	10	wenxiao	wenxiao	PROPN
ejpam-3848	15	11	)	)	PUNCT
ejpam-3848	15	12	,	,	PUNCT
ejpam-3848	15	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3848	15	14	794	794	NUM
ejpam-3848	16	1	c	c	AUX
ejpam-3848	16	2	©	©	NOUN
ejpam-3848	16	3	2020	2020	NUM
ejpam-3848	16	4	ejpam	ejpam	VERB
ejpam-3848	16	5	all	all	DET
ejpam-3848	16	6	rights	right	NOUN
ejpam-3848	16	7	reserved	reserve	VERB
ejpam-3848	16	8	.	.	PUNCT
ejpam-3848	17	1	z.	z.	PROPN
ejpam-3848	17	2	mingxin	mingxin	PROPN
ejpam-3848	17	3	,	,	PUNCT
ejpam-3848	17	4	x.	x.	PROPN
ejpam-3848	17	5	tao	tao	PROPN
ejpam-3848	17	6	,	,	PUNCT
ejpam-3848	17	7	s.	s.	PROPN
ejpam-3848	17	8	wenxiao	wenxiao	PROPN
ejpam-3848	17	9	/	/	SYM
ejpam-3848	17	10	eur	eur	PROPN
ejpam-3848	17	11	.	.	PUNCT
ejpam-3848	18	1	j.	j.	PROPN
ejpam-3848	18	2	pure	pure	PROPN
ejpam-3848	18	3	appl	appl	PROPN
ejpam-3848	18	4	.	.	PROPN
ejpam-3848	18	5	math	math	PROPN
ejpam-3848	18	6	,	,	PUNCT
ejpam-3848	18	7	13	13	NUM
ejpam-3848	18	8	(	(	PUNCT
ejpam-3848	18	9	4	4	NUM
ejpam-3848	18	10	)	)	PUNCT
ejpam-3848	18	11	(	(	PUNCT
ejpam-3848	18	12	2020	2020	NUM
ejpam-3848	18	13	)	)	PUNCT
ejpam-3848	18	14	,	,	PUNCT
ejpam-3848	18	15	794	794	X
ejpam-3848	18	16	-	-	SYM
ejpam-3848	18	17	806	806	NUM
ejpam-3848	18	18	795	795	NUM
ejpam-3848	18	19	deterministic	deterministic	ADJ
ejpam-3848	18	20	process	process	NOUN
ejpam-3848	18	21	[	[	X
ejpam-3848	18	22	6	6	NUM
ejpam-3848	18	23	,	,	PUNCT
ejpam-3848	18	24	9–11	9–11	NOUN
ejpam-3848	18	25	,	,	PUNCT
ejpam-3848	18	26	15	15	NUM
ejpam-3848	18	27	]	]	PUNCT
ejpam-3848	18	28	.	.	PUNCT
ejpam-3848	19	1	in	in	ADP
ejpam-3848	19	2	terms	term	NOUN
ejpam-3848	19	3	of	of	ADP
ejpam-3848	19	4	stability	stability	NOUN
ejpam-3848	19	5	analysis	analysis	NOUN
ejpam-3848	19	6	,	,	PUNCT
ejpam-3848	19	7	there	there	PRON
ejpam-3848	19	8	are	be	VERB
ejpam-3848	19	9	a	a	DET
ejpam-3848	19	10	variety	variety	NOUN
ejpam-3848	19	11	of	of	ADP
ejpam-3848	19	12	unique	unique	ADJ
ejpam-3848	19	13	stability	stability	NOUN
ejpam-3848	19	14	theories	theory	NOUN
ejpam-3848	19	15	and	and	CCONJ
ejpam-3848	19	16	research	research	NOUN
ejpam-3848	19	17	results	result	NOUN
ejpam-3848	19	18	,	,	PUNCT
ejpam-3848	19	19	which	which	PRON
ejpam-3848	19	20	mainly	mainly	ADV
ejpam-3848	19	21	include	include	VERB
ejpam-3848	19	22	robust	robust	ADJ
ejpam-3848	19	23	analysis	analysis	NOUN
ejpam-3848	19	24	,	,	PUNCT
ejpam-3848	19	25	dissipative	dissipative	ADJ
ejpam-3848	19	26	analysis	analysis	NOUN
ejpam-3848	19	27	and	and	CCONJ
ejpam-3848	19	28	impulse	impulse	ADJ
ejpam-3848	19	29	control	control	NOUN
ejpam-3848	19	30	.	.	PUNCT
ejpam-3848	20	1	in	in	ADP
ejpam-3848	20	2	addition	addition	NOUN
ejpam-3848	20	3	,	,	PUNCT
ejpam-3848	20	4	discrete	discrete	ADJ
ejpam-3848	20	5	time	time	NOUN
ejpam-3848	20	6	delay	delay	NOUN
ejpam-3848	20	7	and	and	CCONJ
ejpam-3848	20	8	fuzzy	fuzzy	ADJ
ejpam-3848	20	9	systems	system	NOUN
ejpam-3848	20	10	have	have	AUX
ejpam-3848	20	11	also	also	ADV
ejpam-3848	20	12	attracted	attract	VERB
ejpam-3848	20	13	much	much	ADJ
ejpam-3848	20	14	attention	attention	NOUN
ejpam-3848	20	15	[	[	X
ejpam-3848	20	16	1	1	NUM
ejpam-3848	20	17	,	,	PUNCT
ejpam-3848	20	18	8	8	NUM
ejpam-3848	20	19	,	,	PUNCT
ejpam-3848	20	20	19	19	NUM
ejpam-3848	20	21	,	,	PUNCT
ejpam-3848	20	22	21	21	NUM
ejpam-3848	20	23	]	]	PUNCT
ejpam-3848	20	24	.	.	PUNCT
ejpam-3848	21	1	for	for	ADP
ejpam-3848	21	2	a	a	DET
ejpam-3848	21	3	stable	stable	ADJ
ejpam-3848	21	4	rnns	rnn	NOUN
ejpam-3848	21	5	,	,	PUNCT
ejpam-3848	21	6	it	it	PRON
ejpam-3848	21	7	is	be	AUX
ejpam-3848	21	8	significant	significant	ADJ
ejpam-3848	21	9	to	to	PART
ejpam-3848	21	10	describe	describe	VERB
ejpam-3848	21	11	how	how	SCONJ
ejpam-3848	21	12	much	much	ADJ
ejpam-3848	21	13	the	the	DET
ejpam-3848	21	14	length	length	NOUN
ejpam-3848	21	15	of	of	ADP
ejpam-3848	21	16	the	the	DET
ejpam-3848	21	17	interval	interval	NOUN
ejpam-3848	21	18	of	of	ADP
ejpam-3848	21	19	piecewise	piecewise	NOUN
ejpam-3848	21	20	argument	argument	NOUN
ejpam-3848	21	21	and	and	CCONJ
ejpam-3848	21	22	interference	interference	NOUN
ejpam-3848	21	23	intensity	intensity	NOUN
ejpam-3848	21	24	of	of	ADP
ejpam-3848	21	25	the	the	DET
ejpam-3848	21	26	perturbed	perturb	VERB
ejpam-3848	21	27	rnns	rnns	NOUN
ejpam-3848	21	28	can	can	AUX
ejpam-3848	21	29	withstand	withstand	VERB
ejpam-3848	21	30	without	without	ADP
ejpam-3848	21	31	losing	lose	VERB
ejpam-3848	21	32	stability	stability	NOUN
ejpam-3848	21	33	.	.	PUNCT
ejpam-3848	22	1	this	this	DET
ejpam-3848	22	2	paper	paper	NOUN
ejpam-3848	22	3	characterizes	characterize	VERB
ejpam-3848	22	4	the	the	DET
ejpam-3848	22	5	robustness	robustness	NOUN
ejpam-3848	22	6	of	of	ADP
ejpam-3848	22	7	rnns	rnn	NOUN
ejpam-3848	22	8	with	with	ADP
ejpam-3848	22	9	piecewise	piecewise	NOUN
ejpam-3848	22	10	argument	argument	NOUN
ejpam-3848	22	11	and	and	CCONJ
ejpam-3848	22	12	arbitrary	arbitrary	ADJ
ejpam-3848	22	13	disturbance	disturbance	NOUN
ejpam-3848	22	14	.	.	PUNCT
ejpam-3848	23	1	for	for	ADP
ejpam-3848	23	2	globally	globally	ADV
ejpam-3848	23	3	exponential	exponential	ADJ
ejpam-3848	23	4	stable	stable	ADJ
ejpam-3848	23	5	rnns	rnn	NOUN
ejpam-3848	23	6	,	,	PUNCT
ejpam-3848	23	7	the	the	DET
ejpam-3848	23	8	available	available	ADJ
ejpam-3848	23	9	upper	upper	ADJ
ejpam-3848	23	10	boundary	boundary	NOUN
ejpam-3848	23	11	of	of	ADP
ejpam-3848	23	12	the	the	DET
ejpam-3848	23	13	range	range	NOUN
ejpam-3848	23	14	of	of	ADP
ejpam-3848	23	15	deflection	deflection	NOUN
ejpam-3848	23	16	arguments	argument	NOUN
ejpam-3848	23	17	and	and	CCONJ
ejpam-3848	23	18	the	the	DET
ejpam-3848	23	19	interference	interference	NOUN
ejpam-3848	23	20	intensity	intensity	NOUN
ejpam-3848	23	21	in	in	ADP
ejpam-3848	23	22	the	the	DET
ejpam-3848	23	23	perturbed	perturb	VERB
ejpam-3848	23	24	rnns	rnns	NOUN
ejpam-3848	23	25	to	to	PART
ejpam-3848	23	26	preserve	preserve	VERB
ejpam-3848	23	27	globally	globally	ADV
ejpam-3848	23	28	exponential	exponential	ADJ
ejpam-3848	23	29	stability	stability	NOUN
ejpam-3848	23	30	are	be	AUX
ejpam-3848	23	31	the	the	DET
ejpam-3848	23	32	solutions	solution	NOUN
ejpam-3848	23	33	of	of	ADP
ejpam-3848	23	34	some	some	DET
ejpam-3848	23	35	transcendental	transcendental	ADJ
ejpam-3848	23	36	equations	equation	NOUN
ejpam-3848	23	37	.	.	PUNCT
ejpam-3848	24	1	roughly	roughly	ADV
ejpam-3848	24	2	speaking	speak	VERB
ejpam-3848	24	3	,	,	PUNCT
ejpam-3848	24	4	the	the	DET
ejpam-3848	24	5	contributions	contribution	NOUN
ejpam-3848	24	6	of	of	ADP
ejpam-3848	24	7	this	this	DET
ejpam-3848	24	8	paper	paper	NOUN
ejpam-3848	24	9	include	include	VERB
ejpam-3848	24	10	:	:	PUNCT
ejpam-3848	24	11	(	(	PUNCT
ejpam-3848	24	12	i	i	NOUN
ejpam-3848	24	13	)	)	PUNCT
ejpam-3848	24	14	the	the	DET
ejpam-3848	24	15	relationship	relationship	NOUN
ejpam-3848	24	16	between	between	ADP
ejpam-3848	24	17	piecewise	piecewise	NOUN
ejpam-3848	24	18	deviation	deviation	NOUN
ejpam-3848	24	19	variables	variable	NOUN
ejpam-3848	24	20	and	and	CCONJ
ejpam-3848	24	21	system	system	NOUN
ejpam-3848	24	22	solutions	solution	NOUN
ejpam-3848	24	23	in	in	ADP
ejpam-3848	24	24	recurrent	recurrent	ADJ
ejpam-3848	24	25	neural	neural	ADJ
ejpam-3848	24	26	networks	network	NOUN
ejpam-3848	24	27	is	be	AUX
ejpam-3848	24	28	constructed	construct	VERB
ejpam-3848	24	29	;	;	PUNCT
ejpam-3848	24	30	(	(	PUNCT
ejpam-3848	24	31	ii	ii	NOUN
ejpam-3848	24	32	)	)	PUNCT
ejpam-3848	24	33	some	some	DET
ejpam-3848	24	34	mathematical	mathematical	ADJ
ejpam-3848	24	35	inequalities	inequality	NOUN
ejpam-3848	24	36	are	be	AUX
ejpam-3848	24	37	used	use	VERB
ejpam-3848	24	38	to	to	PART
ejpam-3848	24	39	enlarge	enlarge	VERB
ejpam-3848	24	40	the	the	DET
ejpam-3848	24	41	upper	upper	ADJ
ejpam-3848	24	42	bound	bind	VERB
ejpam-3848	24	43	of	of	ADP
ejpam-3848	24	44	the	the	DET
ejpam-3848	24	45	interval	interval	NOUN
ejpam-3848	24	46	of	of	ADP
ejpam-3848	24	47	piecewise	piecewise	NOUN
ejpam-3848	24	48	arguments	argument	NOUN
ejpam-3848	24	49	and	and	CCONJ
ejpam-3848	24	50	the	the	DET
ejpam-3848	24	51	upper	upper	ADJ
ejpam-3848	24	52	bound	bind	VERB
ejpam-3848	24	53	of	of	ADP
ejpam-3848	24	54	random	random	ADJ
ejpam-3848	24	55	disturbances	disturbance	NOUN
ejpam-3848	24	56	;	;	PUNCT
ejpam-3848	24	57	(	(	PUNCT
ejpam-3848	24	58	iii	iii	X
ejpam-3848	24	59	)	)	PUNCT
ejpam-3848	24	60	developing	develop	VERB
ejpam-3848	24	61	some	some	DET
ejpam-3848	24	62	approaches	approach	NOUN
ejpam-3848	24	63	to	to	PART
ejpam-3848	24	64	analyze	analyze	VERB
ejpam-3848	24	65	recurrent	recurrent	ADJ
ejpam-3848	24	66	neural	neural	ADJ
ejpam-3848	24	67	networks	network	NOUN
ejpam-3848	24	68	in	in	ADP
ejpam-3848	24	69	the	the	DET
ejpam-3848	24	70	piecewise	piecewise	NOUN
ejpam-3848	24	71	of	of	ADP
ejpam-3848	24	72	deviating	deviate	VERB
ejpam-3848	24	73	arguments	argument	NOUN
ejpam-3848	24	74	.	.	PUNCT
ejpam-3848	25	1	the	the	DET
ejpam-3848	25	2	structure	structure	NOUN
ejpam-3848	25	3	of	of	ADP
ejpam-3848	25	4	the	the	DET
ejpam-3848	25	5	paper	paper	NOUN
ejpam-3848	25	6	is	be	AUX
ejpam-3848	25	7	outlined	outline	VERB
ejpam-3848	25	8	as	as	SCONJ
ejpam-3848	25	9	follows	follow	VERB
ejpam-3848	25	10	.	.	PUNCT
ejpam-3848	26	1	section	section	NOUN
ejpam-3848	26	2	2	2	NUM
ejpam-3848	26	3	gives	give	VERB
ejpam-3848	26	4	preliminaries	preliminary	NOUN
ejpam-3848	26	5	and	and	CCONJ
ejpam-3848	26	6	model	model	NOUN
ejpam-3848	26	7	description	description	NOUN
ejpam-3848	26	8	.	.	PUNCT
ejpam-3848	27	1	main	main	ADJ
ejpam-3848	27	2	results	result	NOUN
ejpam-3848	27	3	are	be	AUX
ejpam-3848	27	4	presented	present	VERB
ejpam-3848	27	5	in	in	ADP
ejpam-3848	27	6	section	section	NOUN
ejpam-3848	27	7	3	3	NUM
ejpam-3848	27	8	.	.	PUNCT
ejpam-3848	28	1	several	several	ADJ
ejpam-3848	28	2	illustrative	illustrative	ADJ
ejpam-3848	28	3	examples	example	NOUN
ejpam-3848	28	4	are	be	AUX
ejpam-3848	28	5	given	give	VERB
ejpam-3848	28	6	in	in	ADP
ejpam-3848	28	7	section	section	NOUN
ejpam-3848	28	8	4	4	NUM
ejpam-3848	28	9	.	.	PUNCT
ejpam-3848	29	1	some	some	DET
ejpam-3848	29	2	concluding	conclude	VERB
ejpam-3848	29	3	remarks	remark	NOUN
ejpam-3848	29	4	are	be	AUX
ejpam-3848	29	5	presented	present	VERB
ejpam-3848	29	6	in	in	ADP
ejpam-3848	29	7	section	section	NOUN
ejpam-3848	29	8	5	5	NUM
ejpam-3848	29	9	.	.	SYM
ejpam-3848	29	10	2	2	NUM
ejpam-3848	29	11	.	.	NOUN
ejpam-3848	29	12	preliminaries	preliminary	NOUN
ejpam-3848	29	13	throughout	throughout	ADP
ejpam-3848	29	14	this	this	DET
ejpam-3848	29	15	paper	paper	NOUN
ejpam-3848	29	16	,	,	PUNCT
ejpam-3848	29	17	let	let	VERB
ejpam-3848	29	18	<	<	X
ejpam-3848	29	19	be	be	AUX
ejpam-3848	29	20	the	the	DET
ejpam-3848	29	21	set	set	NOUN
ejpam-3848	29	22	of	of	ADP
ejpam-3848	29	23	real	real	ADJ
ejpam-3848	29	24	numbers	number	NOUN
ejpam-3848	29	25	and	and	CCONJ
ejpam-3848	29	26	<	<	X
ejpam-3848	29	27	+	+	X
ejpam-3848	29	28	be	be	VERB
ejpam-3848	29	29	the	the	DET
ejpam-3848	29	30	set	set	NOUN
ejpam-3848	29	31	of	of	ADP
ejpam-3848	29	32	positive	positive	ADJ
ejpam-3848	29	33	real	real	ADJ
ejpam-3848	29	34	numbers	number	NOUN
ejpam-3848	29	35	.	.	PUNCT
ejpam-3848	30	1	<	<	X
ejpam-3848	30	2	n	n	ADP
ejpam-3848	30	3	denotes	denote	VERB
ejpam-3848	30	4	the	the	DET
ejpam-3848	30	5	n	n	ADV
ejpam-3848	30	6	-	-	PUNCT
ejpam-3848	30	7	dimensional	dimensional	ADJ
ejpam-3848	30	8	vectors	vector	NOUN
ejpam-3848	30	9	space	space	NOUN
ejpam-3848	30	10	over	over	ADP
ejpam-3848	30	11	<	<	X
ejpam-3848	30	12	and	and	CCONJ
ejpam-3848	30	13	<	<	X
ejpam-3848	30	14	n×m	n×m	PROPN
ejpam-3848	30	15	be	be	VERB
ejpam-3848	30	16	the	the	DET
ejpam-3848	30	17	set	set	NOUN
ejpam-3848	30	18	of	of	ADP
ejpam-3848	30	19	n	n	NOUN
ejpam-3848	30	20	×m	×m	NOUN
ejpam-3848	30	21	matrices	matrix	NOUN
ejpam-3848	30	22	over	over	ADP
ejpam-3848	30	23	<	<	X
ejpam-3848	30	24	,	,	PUNCT
ejpam-3848	30	25	where	where	SCONJ
ejpam-3848	30	26	n	n	CCONJ
ejpam-3848	30	27	,	,	PUNCT
ejpam-3848	30	28	m	m	VERB
ejpam-3848	30	29	are	be	AUX
ejpam-3848	30	30	included	include	VERB
ejpam-3848	30	31	in	in	ADP
ejpam-3848	30	32	the	the	DET
ejpam-3848	30	33	set	set	NOUN
ejpam-3848	30	34	n	n	PROPN
ejpam-3848	30	35	of	of	ADP
ejpam-3848	30	36	nature	nature	NOUN
ejpam-3848	30	37	numbers	number	NOUN
ejpam-3848	30	38	.	.	PUNCT
ejpam-3848	31	1	the	the	DET
ejpam-3848	31	2	euclidean	euclidean	ADJ
ejpam-3848	31	3	norm	norm	NOUN
ejpam-3848	31	4	in	in	ADP
ejpam-3848	31	5	<	<	NOUN
ejpam-3848	31	6	n	n	NOUN
ejpam-3848	31	7	and	and	CCONJ
ejpam-3848	31	8	<	<	X
ejpam-3848	31	9	n×m	n×m	PROPN
ejpam-3848	31	10	are	be	AUX
ejpam-3848	31	11	expressed	express	VERB
ejpam-3848	31	12	by	by	ADP
ejpam-3848	31	13	the	the	DET
ejpam-3848	31	14	same	same	ADJ
ejpam-3848	31	15	symbol	symbol	NOUN
ejpam-3848	31	16	‖·‖.	‖·‖.	PUNCT
ejpam-3848	31	17	specifically	specifically	ADV
ejpam-3848	31	18	,	,	PUNCT
ejpam-3848	31	19	for	for	ADP
ejpam-3848	31	20	an	an	DET
ejpam-3848	31	21	n	n	ADV
ejpam-3848	31	22	-	-	PUNCT
ejpam-3848	31	23	dimensional	dimensional	ADJ
ejpam-3848	31	24	vector	vector	NOUN
ejpam-3848	31	25	v	v	NOUN
ejpam-3848	31	26	=	=	SYM
ejpam-3848	31	27	(	(	PUNCT
ejpam-3848	31	28	v1	v1	NOUN
ejpam-3848	31	29	,	,	PUNCT
ejpam-3848	31	30	v2	v2	NOUN
ejpam-3848	31	31	,	,	PUNCT
ejpam-3848	31	32	.	.	PUNCT
ejpam-3848	31	33	.	.	PUNCT
ejpam-3848	32	1	.	.	PUNCT
ejpam-3848	33	1	,	,	PUNCT
ejpam-3848	33	2	vn)t	vn)t	PROPN
ejpam-3848	33	3	∈	∈	PROPN
ejpam-3848	33	4	<	<	X
ejpam-3848	33	5	n	n	X
ejpam-3848	33	6	(	(	PUNCT
ejpam-3848	33	7	t	t	PROPN
ejpam-3848	33	8	denotes	denote	VERB
ejpam-3848	33	9	the	the	DET
ejpam-3848	33	10	transpose	transpose	NOUN
ejpam-3848	33	11	of	of	ADP
ejpam-3848	33	12	the	the	DET
ejpam-3848	33	13	vector	vector	NOUN
ejpam-3848	33	14	)	)	PUNCT
ejpam-3848	33	15	,	,	PUNCT
ejpam-3848	33	16	‖v‖	‖v‖	PROPN
ejpam-3848	33	17	=	=	PUNCT
ejpam-3848	33	18	(	(	PUNCT
ejpam-3848	33	19	∑n	∑n	PROPN
ejpam-3848	33	20	i=1	i=1	PROPN
ejpam-3848	33	21	v	v	ADP
ejpam-3848	33	22	2	2	NUM
ejpam-3848	33	23	i	i	NOUN
ejpam-3848	33	24	)	)	PUNCT
ejpam-3848	33	25	1/2	1/2	NUM
ejpam-3848	33	26	,	,	PUNCT
ejpam-3848	33	27	and	and	CCONJ
ejpam-3848	33	28	for	for	ADP
ejpam-3848	33	29	a	a	DET
ejpam-3848	33	30	matrix	matrix	NOUN
ejpam-3848	33	31	a	a	DET
ejpam-3848	33	32	∈	∈	NOUN
ejpam-3848	33	33	<	<	X
ejpam-3848	33	34	n×n	n×n	PROPN
ejpam-3848	33	35	,	,	PUNCT
ejpam-3848	33	36	‖a‖	‖a‖	PROPN
ejpam-3848	33	37	=	=	PUNCT
ejpam-3848	33	38	sup{‖ay‖	sup{‖ay‖	X
ejpam-3848	33	39	∣∣	∣∣	NUM
ejpam-3848	33	40	‖y‖	‖y‖	PROPN
ejpam-3848	33	41	=	=	SYM
ejpam-3848	33	42	1	1	NUM
ejpam-3848	33	43	,	,	PUNCT
ejpam-3848	33	44	y	y	PROPN
ejpam-3848	33	45	∈	∈	PROPN
ejpam-3848	33	46	<	<	X
ejpam-3848	33	47	n	n	X
ejpam-3848	33	48	}	}	PUNCT
ejpam-3848	33	49	.	.	PUNCT
ejpam-3848	34	1	moreover	moreover	ADV
ejpam-3848	34	2	,	,	PUNCT
ejpam-3848	34	3	e	e	NOUN
ejpam-3848	34	4	(	(	PUNCT
ejpam-3848	34	5	·	·	PUNCT
ejpam-3848	34	6	)	)	PUNCT
ejpam-3848	34	7	is	be	AUX
ejpam-3848	34	8	represented	represent	VERB
ejpam-3848	34	9	as	as	ADP
ejpam-3848	34	10	mathematical	mathematical	ADJ
ejpam-3848	34	11	expectation	expectation	NOUN
ejpam-3848	34	12	.	.	PUNCT
ejpam-3848	35	1	in	in	ADP
ejpam-3848	35	2	this	this	DET
ejpam-3848	35	3	paper	paper	NOUN
ejpam-3848	35	4	,	,	PUNCT
ejpam-3848	35	5	we	we	PRON
ejpam-3848	35	6	consider	consider	VERB
ejpam-3848	35	7	the	the	DET
ejpam-3848	35	8	following	follow	VERB
ejpam-3848	35	9	recurrent	recurrent	ADJ
ejpam-3848	35	10	neural	neural	ADJ
ejpam-3848	35	11	network	network	NOUN
ejpam-3848	35	12	with	with	ADP
ejpam-3848	35	13	deviating	deviate	VERB
ejpam-3848	35	14	argument	argument	NOUN
ejpam-3848	35	15	and	and	CCONJ
ejpam-3848	35	16	stochastic	stochastic	ADJ
ejpam-3848	35	17	disturbance	disturbance	NOUN
ejpam-3848	35	18	:	:	PUNCT
ejpam-3848	35	19	{	{	PUNCT
ejpam-3848	35	20	dy(t	dy(t	PUNCT
ejpam-3848	35	21	)	)	PUNCT
ejpam-3848	35	22	=	=	PUNCT
ejpam-3848	36	1	[	[	X
ejpam-3848	36	2	−ay(t	−ay(t	X
ejpam-3848	36	3	)	)	PUNCT
ejpam-3848	36	4	+	+	NOUN
ejpam-3848	36	5	bf(y(t	bf(y(t	NOUN
ejpam-3848	36	6	)	)	PUNCT
ejpam-3848	36	7	)	)	PUNCT
ejpam-3848	37	1	+	+	PUNCT
ejpam-3848	37	2	df(y(β(t)))]dt+	df(y(β(t)))]dt+	ADP
ejpam-3848	37	3	σy(t)dω(t	σy(t)dω(t	NOUN
ejpam-3848	37	4	)	)	PUNCT
ejpam-3848	37	5	,	,	PUNCT
ejpam-3848	37	6	t	t	PROPN
ejpam-3848	37	7	≥	≥	PROPN
ejpam-3848	37	8	t0	t0	PROPN
ejpam-3848	37	9	≥	≥	NUM
ejpam-3848	37	10	0	0	NUM
ejpam-3848	37	11	,	,	PUNCT
ejpam-3848	37	12	y(t0	y(t0	PROPN
ejpam-3848	37	13	)	)	PUNCT
ejpam-3848	38	1	=	=	PUNCT
ejpam-3848	38	2	y0	y0	NUM
ejpam-3848	38	3	∈	∈	NOUN
ejpam-3848	38	4	<	<	X
ejpam-3848	38	5	n.	n.	NOUN
ejpam-3848	38	6	(	(	PUNCT
ejpam-3848	38	7	1	1	NUM
ejpam-3848	38	8	)	)	PUNCT
ejpam-3848	38	9	where	where	SCONJ
ejpam-3848	38	10	β(t	β(t	NOUN
ejpam-3848	38	11	)	)	PUNCT
ejpam-3848	38	12	is	be	AUX
ejpam-3848	38	13	called	call	VERB
ejpam-3848	38	14	deviating	deviate	VERB
ejpam-3848	38	15	argument	argument	NOUN
ejpam-3848	38	16	which	which	PRON
ejpam-3848	38	17	is	be	AUX
ejpam-3848	38	18	a	a	DET
ejpam-3848	38	19	piecewise	piecewise	NOUN
ejpam-3848	38	20	function	function	NOUN
ejpam-3848	38	21	defined	define	VERB
ejpam-3848	38	22	as	as	ADP
ejpam-3848	38	23	β(t	β(t	PROPN
ejpam-3848	38	24	)	)	PUNCT
ejpam-3848	38	25	=	=	PUNCT
ejpam-3848	38	26	ηk	ηk	VERB
ejpam-3848	38	27	,	,	PUNCT
ejpam-3848	38	28	if	if	SCONJ
ejpam-3848	38	29	t	t	PROPN
ejpam-3848	38	30	∈	∈	PROPN
ejpam-3848	38	31	[	[	X
ejpam-3848	38	32	αk	αk	X
ejpam-3848	38	33	,	,	PUNCT
ejpam-3848	38	34	αk+1	αk+1	NUM
ejpam-3848	38	35	)	)	PUNCT
ejpam-3848	38	36	,	,	PUNCT
ejpam-3848	38	37	k	k	PROPN
ejpam-3848	38	38	∈	∈	PROPN
ejpam-3848	38	39	n	n	CCONJ
ejpam-3848	38	40	,	,	PUNCT
ejpam-3848	38	41	the	the	DET
ejpam-3848	38	42	real	real	ADJ
ejpam-3848	38	43	-	-	PUNCT
ejpam-3848	38	44	value	value	NOUN
ejpam-3848	38	45	sequences	sequence	NOUN
ejpam-3848	38	46	{	{	PUNCT
ejpam-3848	38	47	αk	αk	NOUN
ejpam-3848	38	48	}	}	PUNCT
ejpam-3848	38	49	,	,	PUNCT
ejpam-3848	38	50	{	{	PUNCT
ejpam-3848	38	51	ηk	ηk	X
ejpam-3848	38	52	}	}	PUNCT
ejpam-3848	38	53	,	,	PUNCT
ejpam-3848	38	54	k	k	PROPN
ejpam-3848	38	55	∈	∈	PROPN
ejpam-3848	38	56	n	n	PRON
ejpam-3848	38	57	satisfy	satisfy	VERB
ejpam-3848	38	58	αk	αk	ADP
ejpam-3848	38	59	<	<	X
ejpam-3848	38	60	αk+1	αk+1	X
ejpam-3848	38	61	,	,	PUNCT
ejpam-3848	38	62	αk	αk	ADP
ejpam-3848	38	63	≤	≤	NUM
ejpam-3848	38	64	ηk	ηk	VERB
ejpam-3848	38	65	≤	≤	NUM
ejpam-3848	38	66	αk+1	αk+1	NUM
ejpam-3848	38	67	and	and	CCONJ
ejpam-3848	38	68	αk+1	αk+1	NUM
ejpam-3848	38	69	−	−	NOUN
ejpam-3848	38	70	αk	αk	NOUN
ejpam-3848	38	71	≤	≤	NUM
ejpam-3848	38	72	α	α	NOUN
ejpam-3848	38	73	for	for	ADP
ejpam-3848	38	74	arbitrary	arbitrary	ADJ
ejpam-3848	38	75	k	k	PROPN
ejpam-3848	38	76	∈	∈	PROPN
ejpam-3848	38	77	n	n	ADV
ejpam-3848	38	78	with	with	ADP
ejpam-3848	38	79	αk	αk	NOUN
ejpam-3848	38	80	→	→	SYM
ejpam-3848	38	81	+	+	NUM
ejpam-3848	38	82	∞	∞	PROPN
ejpam-3848	38	83	as	as	ADP
ejpam-3848	38	84	k	k	PROPN
ejpam-3848	38	85	→	→	PROPN
ejpam-3848	38	86	+	+	PROPN
ejpam-3848	38	87	∞	∞	PROPN
ejpam-3848	38	88	and	and	CCONJ
ejpam-3848	38	89	α	α	NOUN
ejpam-3848	38	90	>	>	X
ejpam-3848	38	91	0	0	PROPN
ejpam-3848	38	92	.	.	PUNCT
ejpam-3848	38	93	y(t	y(t	NUM
ejpam-3848	38	94	)	)	PUNCT
ejpam-3848	39	1	=	=	PRON
ejpam-3848	39	2	(	(	PUNCT
ejpam-3848	39	3	y1(t	y1(t	PROPN
ejpam-3848	39	4	)	)	PUNCT
ejpam-3848	39	5	,	,	PUNCT
ejpam-3848	39	6	.	.	PUNCT
ejpam-3848	39	7	.	.	PUNCT
ejpam-3848	40	1	.	.	PUNCT
ejpam-3848	41	1	,	,	PUNCT
ejpam-3848	41	2	yn(t))t	yn(t))t	PROPN
ejpam-3848	41	3	∈	∈	PROPN
ejpam-3848	41	4	<	<	X
ejpam-3848	41	5	n	n	NUM
ejpam-3848	41	6	is	be	AUX
ejpam-3848	41	7	the	the	DET
ejpam-3848	41	8	state	state	NOUN
ejpam-3848	41	9	vector	vector	NOUN
ejpam-3848	41	10	of	of	ADP
ejpam-3848	41	11	the	the	DET
ejpam-3848	41	12	system	system	NOUN
ejpam-3848	41	13	(	(	PUNCT
ejpam-3848	41	14	1	1	NUM
ejpam-3848	41	15	)	)	PUNCT
ejpam-3848	41	16	.	.	PUNCT
ejpam-3848	42	1	a	a	DET
ejpam-3848	42	2	=	=	NOUN
ejpam-3848	42	3	diag{a1	diag{a1	ADJ
ejpam-3848	42	4	,	,	PUNCT
ejpam-3848	42	5	.	.	PUNCT
ejpam-3848	42	6	.	.	PUNCT
ejpam-3848	43	1	.	.	PUNCT
ejpam-3848	44	1	,	,	PUNCT
ejpam-3848	44	2	an	an	DET
ejpam-3848	44	3	}	}	PUNCT
ejpam-3848	44	4	∈	∈	PROPN
ejpam-3848	44	5	<	<	X
ejpam-3848	44	6	n×n	n×n	PROPN
ejpam-3848	44	7	is	be	AUX
ejpam-3848	44	8	the	the	DET
ejpam-3848	44	9	self	self	NOUN
ejpam-3848	44	10	-	-	PUNCT
ejpam-3848	44	11	feedback	feedback	NOUN
ejpam-3848	44	12	connection	connection	NOUN
ejpam-3848	44	13	weight	weight	NOUN
ejpam-3848	44	14	matrix	matrix	NOUN
ejpam-3848	44	15	,	,	PUNCT
ejpam-3848	44	16	b	b	X
ejpam-3848	44	17	∈	∈	PROPN
ejpam-3848	44	18	<	<	X
ejpam-3848	44	19	n×n	n×n	PROPN
ejpam-3848	44	20	is	be	AUX
ejpam-3848	44	21	the	the	DET
ejpam-3848	44	22	connection	connection	NOUN
ejpam-3848	44	23	matrix	matrix	NOUN
ejpam-3848	44	24	,	,	PUNCT
ejpam-3848	44	25	f(y(t	f(y(t	PROPN
ejpam-3848	44	26	)	)	PUNCT
ejpam-3848	44	27	)	)	PUNCT
ejpam-3848	45	1	=	=	PRON
ejpam-3848	45	2	(	(	PUNCT
ejpam-3848	45	3	f1(y1(t	f1(y1(t	PROPN
ejpam-3848	45	4	)	)	PUNCT
ejpam-3848	45	5	)	)	PUNCT
ejpam-3848	45	6	,	,	PUNCT
ejpam-3848	45	7	.	.	PUNCT
ejpam-3848	45	8	.	.	PUNCT
ejpam-3848	46	1	.	.	PUNCT
ejpam-3848	47	1	,	,	PUNCT
ejpam-3848	47	2	fn(yn(t)))t	fn(yn(t)))t	PROPN
ejpam-3848	47	3	∈	∈	PROPN
ejpam-3848	47	4	<	<	X
ejpam-3848	47	5	n	n	PRON
ejpam-3848	47	6	represents	represent	VERB
ejpam-3848	47	7	an	an	DET
ejpam-3848	47	8	activation	activation	NOUN
ejpam-3848	47	9	function	function	NOUN
ejpam-3848	47	10	.	.	PUNCT
ejpam-3848	48	1	d	d	X
ejpam-3848	48	2	∈	∈	PROPN
ejpam-3848	48	3	<	<	X
ejpam-3848	48	4	n×n	n×n	PROPN
ejpam-3848	48	5	is	be	AUX
ejpam-3848	48	6	the	the	DET
ejpam-3848	48	7	connection	connection	NOUN
ejpam-3848	48	8	matrix	matrix	NOUN
ejpam-3848	48	9	related	relate	VERB
ejpam-3848	48	10	with	with	ADP
ejpam-3848	48	11	the	the	DET
ejpam-3848	48	12	deviating	deviate	VERB
ejpam-3848	48	13	function	function	NOUN
ejpam-3848	48	14	β(t	β(t	PROPN
ejpam-3848	48	15	)	)	PUNCT
ejpam-3848	48	16	.	.	PUNCT
ejpam-3848	49	1	σ	σ	NOUN
ejpam-3848	49	2	denotes	denote	VERB
ejpam-3848	49	3	the	the	DET
ejpam-3848	49	4	intensity	intensity	NOUN
ejpam-3848	49	5	of	of	ADP
ejpam-3848	49	6	the	the	DET
ejpam-3848	49	7	stochastic	stochastic	ADJ
ejpam-3848	49	8	disturbance	disturbance	NOUN
ejpam-3848	49	9	and	and	CCONJ
ejpam-3848	49	10	ω(t	ω(t	NOUN
ejpam-3848	49	11	)	)	PUNCT
ejpam-3848	49	12	represents	represent	VERB
ejpam-3848	49	13	brownian	brownian	ADJ
ejpam-3848	49	14	motion	motion	NOUN
ejpam-3848	49	15	z.	z.	PROPN
ejpam-3848	49	16	mingxin	mingxin	PROPN
ejpam-3848	49	17	,	,	PUNCT
ejpam-3848	49	18	x.	x.	PROPN
ejpam-3848	49	19	tao	tao	PROPN
ejpam-3848	49	20	,	,	PUNCT
ejpam-3848	49	21	s.	s.	PROPN
ejpam-3848	49	22	wenxiao	wenxiao	PROPN
ejpam-3848	49	23	/	/	SYM
ejpam-3848	49	24	eur	eur	PROPN
ejpam-3848	49	25	.	.	PUNCT
ejpam-3848	50	1	j.	j.	PROPN
ejpam-3848	50	2	pure	pure	PROPN
ejpam-3848	50	3	appl	appl	PROPN
ejpam-3848	50	4	.	.	PROPN
ejpam-3848	50	5	math	math	PROPN
ejpam-3848	50	6	,	,	PUNCT
ejpam-3848	50	7	13	13	NUM
ejpam-3848	50	8	(	(	PUNCT
ejpam-3848	50	9	4	4	NUM
ejpam-3848	50	10	)	)	PUNCT
ejpam-3848	50	11	(	(	PUNCT
ejpam-3848	50	12	2020	2020	NUM
ejpam-3848	50	13	)	)	PUNCT
ejpam-3848	50	14	,	,	PUNCT
ejpam-3848	50	15	794	794	X
ejpam-3848	50	16	-	-	SYM
ejpam-3848	50	17	806	806	NUM
ejpam-3848	50	18	796	796	NUM
ejpam-3848	50	19	on	on	ADP
ejpam-3848	50	20	a	a	DET
ejpam-3848	50	21	complete	complete	ADJ
ejpam-3848	50	22	probability	probability	NOUN
ejpam-3848	50	23	space	space	NOUN
ejpam-3848	50	24	(	(	PUNCT
ejpam-3848	50	25	ω	ω	PROPN
ejpam-3848	50	26	,	,	PUNCT
ejpam-3848	50	27	f	f	PROPN
ejpam-3848	50	28	,	,	PUNCT
ejpam-3848	50	29	p	p	NOUN
ejpam-3848	50	30	)	)	PUNCT
ejpam-3848	50	31	with	with	ADP
ejpam-3848	50	32	a	a	DET
ejpam-3848	50	33	natural	natural	ADJ
ejpam-3848	50	34	filtration	filtration	NOUN
ejpam-3848	50	35	{	{	PUNCT
ejpam-3848	50	36	ft}t≥t0≥0	ft}t≥t0≥0	PROPN
ejpam-3848	50	37	generated	generate	VERB
ejpam-3848	50	38	by	by	ADP
ejpam-3848	50	39	{	{	PUNCT
ejpam-3848	50	40	ω(s	ω(s	PROPN
ejpam-3848	50	41	)	)	PUNCT
ejpam-3848	50	42	:	:	PUNCT
ejpam-3848	51	1	t0	t0	PROPN
ejpam-3848	51	2	≤	≤	PROPN
ejpam-3848	51	3	s	s	PART
ejpam-3848	51	4	≤	≤	NUM
ejpam-3848	51	5	t	t	PROPN
ejpam-3848	51	6	}	}	PUNCT
ejpam-3848	51	7	.	.	PUNCT
ejpam-3848	52	1	it	it	PRON
ejpam-3848	52	2	can	can	AUX
ejpam-3848	52	3	be	be	AUX
ejpam-3848	52	4	referred	refer	VERB
ejpam-3848	52	5	to	to	ADP
ejpam-3848	52	6	[	[	X
ejpam-3848	52	7	15	15	NUM
ejpam-3848	52	8	]	]	PUNCT
ejpam-3848	52	9	for	for	ADP
ejpam-3848	52	10	the	the	DET
ejpam-3848	52	11	basic	basic	ADJ
ejpam-3848	52	12	knowledge	knowledge	NOUN
ejpam-3848	52	13	of	of	ADP
ejpam-3848	52	14	stochastic	stochastic	ADJ
ejpam-3848	52	15	differential	differential	ADJ
ejpam-3848	52	16	equations	equation	NOUN
ejpam-3848	52	17	.	.	PUNCT
ejpam-3848	53	1	without	without	ADP
ejpam-3848	53	2	the	the	DET
ejpam-3848	53	3	deviating	deviate	VERB
ejpam-3848	53	4	argument	argument	NOUN
ejpam-3848	53	5	and	and	CCONJ
ejpam-3848	53	6	stochastic	stochastic	ADJ
ejpam-3848	53	7	disturbance	disturbance	NOUN
ejpam-3848	53	8	,	,	PUNCT
ejpam-3848	53	9	then	then	ADV
ejpam-3848	53	10	the	the	DET
ejpam-3848	53	11	model	model	NOUN
ejpam-3848	53	12	(	(	PUNCT
ejpam-3848	53	13	1	1	X
ejpam-3848	53	14	)	)	PUNCT
ejpam-3848	53	15	degrades	degrade	VERB
ejpam-3848	53	16	into	into	ADP
ejpam-3848	53	17	the	the	DET
ejpam-3848	53	18	following	follow	VERB
ejpam-3848	53	19	classical	classical	ADJ
ejpam-3848	53	20	recurrent	recurrent	ADJ
ejpam-3848	53	21	neural	neural	ADJ
ejpam-3848	53	22	networks	network	NOUN
ejpam-3848	53	23	:	:	PUNCT
ejpam-3848	53	24	{	{	PUNCT
ejpam-3848	53	25	ẋ(t	ẋ(t	NOUN
ejpam-3848	53	26	)	)	PUNCT
ejpam-3848	53	27	=	=	SYM
ejpam-3848	53	28	−ax(t	−ax(t	NOUN
ejpam-3848	53	29	)	)	PUNCT
ejpam-3848	53	30	+	+	ADV
ejpam-3848	53	31	bf(x(t	bf(x(t	NOUN
ejpam-3848	53	32	)	)	PUNCT
ejpam-3848	53	33	)	)	PUNCT
ejpam-3848	53	34	,	,	PUNCT
ejpam-3848	53	35	t	t	PROPN
ejpam-3848	53	36	≥	≥	PROPN
ejpam-3848	53	37	t0	t0	PROPN
ejpam-3848	53	38	≥	≥	NUM
ejpam-3848	53	39	0	0	NUM
ejpam-3848	53	40	,	,	PUNCT
ejpam-3848	53	41	x(t0	x(t0	PROPN
ejpam-3848	53	42	)	)	PUNCT
ejpam-3848	54	1	=	=	PUNCT
ejpam-3848	54	2	x0	x0	PROPN
ejpam-3848	54	3	∈	∈	PROPN
ejpam-3848	54	4	<	<	X
ejpam-3848	54	5	n.	n.	NOUN
ejpam-3848	54	6	(	(	PUNCT
ejpam-3848	54	7	2	2	NUM
ejpam-3848	54	8	)	)	PUNCT
ejpam-3848	54	9	remark	remark	NOUN
ejpam-3848	54	10	1	1	NUM
ejpam-3848	54	11	.	.	PUNCT
ejpam-3848	55	1	the	the	DET
ejpam-3848	55	2	concept	concept	NOUN
ejpam-3848	55	3	of	of	ADP
ejpam-3848	55	4	deviating	deviate	VERB
ejpam-3848	55	5	argument	argument	NOUN
ejpam-3848	55	6	was	be	AUX
ejpam-3848	55	7	first	first	ADV
ejpam-3848	55	8	introduced	introduce	VERB
ejpam-3848	55	9	in	in	ADP
ejpam-3848	55	10	[	[	X
ejpam-3848	55	11	17	17	NUM
ejpam-3848	55	12	]	]	PUNCT
ejpam-3848	55	13	to	to	PART
ejpam-3848	55	14	describe	describe	VERB
ejpam-3848	55	15	some	some	DET
ejpam-3848	55	16	alternately	alternately	ADV
ejpam-3848	55	17	advanced	advanced	ADJ
ejpam-3848	55	18	and	and	CCONJ
ejpam-3848	55	19	retarded	retarded	ADJ
ejpam-3848	55	20	systems	system	NOUN
ejpam-3848	55	21	.	.	PUNCT
ejpam-3848	56	1	actually	actually	ADV
ejpam-3848	56	2	,	,	PUNCT
ejpam-3848	56	3	if	if	SCONJ
ejpam-3848	56	4	the	the	DET
ejpam-3848	56	5	system	system	NOUN
ejpam-3848	56	6	(	(	PUNCT
ejpam-3848	56	7	1	1	X
ejpam-3848	56	8	)	)	PUNCT
ejpam-3848	56	9	is	be	AUX
ejpam-3848	56	10	defined	define	VERB
ejpam-3848	56	11	on	on	ADP
ejpam-3848	56	12	the	the	DET
ejpam-3848	56	13	interval	interval	NOUN
ejpam-3848	56	14	[	[	X
ejpam-3848	56	15	αk	αk	X
ejpam-3848	56	16	,	,	PUNCT
ejpam-3848	56	17	αk+1	αk+1	NUM
ejpam-3848	56	18	)	)	PUNCT
ejpam-3848	56	19	,	,	PUNCT
ejpam-3848	56	20	k	k	PROPN
ejpam-3848	56	21	∈	∈	PROPN
ejpam-3848	56	22	n	n	CCONJ
ejpam-3848	56	23	,	,	PUNCT
ejpam-3848	56	24	if	if	SCONJ
ejpam-3848	56	25	αk	αk	ADP
ejpam-3848	56	26	≤	≤	NUM
ejpam-3848	56	27	t	t	PROPN
ejpam-3848	56	28	<	<	X
ejpam-3848	56	29	ηk	ηk	PROPN
ejpam-3848	56	30	,	,	PUNCT
ejpam-3848	56	31	then	then	ADV
ejpam-3848	56	32	(	(	PUNCT
ejpam-3848	56	33	1	1	X
ejpam-3848	56	34	)	)	PUNCT
ejpam-3848	56	35	is	be	AUX
ejpam-3848	56	36	an	an	DET
ejpam-3848	56	37	advanced	advanced	ADJ
ejpam-3848	56	38	system	system	NOUN
ejpam-3848	56	39	,	,	PUNCT
ejpam-3848	56	40	and	and	CCONJ
ejpam-3848	56	41	if	if	SCONJ
ejpam-3848	56	42	ηk	ηk	ADP
ejpam-3848	56	43	<	<	X
ejpam-3848	56	44	t	t	X
ejpam-3848	56	45	<	<	X
ejpam-3848	56	46	αk+1	αk+1	NUM
ejpam-3848	56	47	,	,	PUNCT
ejpam-3848	56	48	(	(	PUNCT
ejpam-3848	56	49	1	1	X
ejpam-3848	56	50	)	)	PUNCT
ejpam-3848	56	51	is	be	AUX
ejpam-3848	56	52	a	a	DET
ejpam-3848	56	53	retarded	retarded	ADJ
ejpam-3848	56	54	system	system	NOUN
ejpam-3848	56	55	.	.	PUNCT
ejpam-3848	57	1	in	in	ADP
ejpam-3848	57	2	order	order	NOUN
ejpam-3848	57	3	to	to	PART
ejpam-3848	57	4	state	state	VERB
ejpam-3848	57	5	the	the	DET
ejpam-3848	57	6	main	main	ADJ
ejpam-3848	57	7	results	result	NOUN
ejpam-3848	57	8	,	,	PUNCT
ejpam-3848	57	9	we	we	PRON
ejpam-3848	57	10	need	need	VERB
ejpam-3848	57	11	the	the	DET
ejpam-3848	57	12	following	following	ADJ
ejpam-3848	57	13	assumption	assumption	NOUN
ejpam-3848	57	14	:	:	PUNCT
ejpam-3848	57	15	(	(	PUNCT
ejpam-3848	57	16	a1	a1	NOUN
ejpam-3848	57	17	)	)	PUNCT
ejpam-3848	57	18	there	there	PRON
ejpam-3848	57	19	exist	exist	VERB
ejpam-3848	57	20	a	a	DET
ejpam-3848	57	21	nonnegative	nonnegative	ADJ
ejpam-3848	57	22	constant	constant	ADJ
ejpam-3848	57	23	k	k	PROPN
ejpam-3848	57	24	∈	∈	PROPN
ejpam-3848	57	25	<	<	X
ejpam-3848	57	26	such	such	ADJ
ejpam-3848	57	27	that	that	PRON
ejpam-3848	57	28	for	for	ADP
ejpam-3848	57	29	arbitrary	arbitrary	ADJ
ejpam-3848	57	30	u	u	NOUN
ejpam-3848	57	31	,	,	PUNCT
ejpam-3848	57	32	v	v	PROPN
ejpam-3848	57	33	∈	∈	NOUN
ejpam-3848	57	34	<	<	X
ejpam-3848	57	35	‖f(u)−	‖f(u)−	PROPN
ejpam-3848	57	36	f(v)‖	f(v)‖	PUNCT
ejpam-3848	57	37	≤	≤	PROPN
ejpam-3848	57	38	k‖u−	k‖u−	NOUN
ejpam-3848	57	39	v‖	v‖	NOUN
ejpam-3848	57	40	,	,	PUNCT
ejpam-3848	57	41	(	(	PUNCT
ejpam-3848	57	42	3	3	X
ejpam-3848	57	43	)	)	PUNCT
ejpam-3848	57	44	and	and	CCONJ
ejpam-3848	57	45	f(0	f(0	NOUN
ejpam-3848	57	46	)	)	PUNCT
ejpam-3848	57	47	=	=	NOUN
ejpam-3848	58	1	0	0	X
ejpam-3848	58	2	.	.	PUNCT
ejpam-3848	59	1	under	under	ADP
ejpam-3848	59	2	the	the	DET
ejpam-3848	59	3	assumption	assumption	NOUN
ejpam-3848	59	4	(	(	PUNCT
ejpam-3848	59	5	a1	a1	NOUN
ejpam-3848	59	6	)	)	PUNCT
ejpam-3848	59	7	,	,	PUNCT
ejpam-3848	59	8	it	it	PRON
ejpam-3848	59	9	is	be	AUX
ejpam-3848	59	10	clear	clear	ADJ
ejpam-3848	59	11	that	that	SCONJ
ejpam-3848	59	12	x	x	X
ejpam-3848	59	13	=	=	SYM
ejpam-3848	59	14	0	0	NUM
ejpam-3848	59	15	is	be	AUX
ejpam-3848	59	16	a	a	DET
ejpam-3848	59	17	trivial	trivial	ADJ
ejpam-3848	59	18	state	state	NOUN
ejpam-3848	59	19	of	of	ADP
ejpam-3848	59	20	system	system	NOUN
ejpam-3848	59	21	(	(	PUNCT
ejpam-3848	59	22	2	2	NUM
ejpam-3848	59	23	)	)	PUNCT
ejpam-3848	59	24	and	and	CCONJ
ejpam-3848	59	25	y	y	PROPN
ejpam-3848	59	26	=	=	SYM
ejpam-3848	59	27	0	0	NUM
ejpam-3848	59	28	is	be	AUX
ejpam-3848	59	29	also	also	ADV
ejpam-3848	59	30	a	a	DET
ejpam-3848	59	31	trivial	trivial	ADJ
ejpam-3848	59	32	state	state	NOUN
ejpam-3848	59	33	of	of	ADP
ejpam-3848	59	34	system	system	NOUN
ejpam-3848	59	35	(	(	PUNCT
ejpam-3848	59	36	1	1	NUM
ejpam-3848	59	37	)	)	PUNCT
ejpam-3848	59	38	.	.	PUNCT
ejpam-3848	60	1	moreover	moreover	ADV
ejpam-3848	60	2	,	,	PUNCT
ejpam-3848	60	3	the	the	DET
ejpam-3848	60	4	system	system	NOUN
ejpam-3848	60	5	(	(	PUNCT
ejpam-3848	60	6	2	2	X
ejpam-3848	60	7	)	)	PUNCT
ejpam-3848	60	8	has	have	VERB
ejpam-3848	60	9	a	a	DET
ejpam-3848	60	10	unique	unique	ADJ
ejpam-3848	60	11	state	state	NOUN
ejpam-3848	60	12	x(t	x(t	PROPN
ejpam-3848	60	13	;	;	PUNCT
ejpam-3848	60	14	t0	t0	PROPN
ejpam-3848	60	15	,	,	PUNCT
ejpam-3848	60	16	x0	x0	PROPN
ejpam-3848	60	17	)	)	PUNCT
ejpam-3848	60	18	for	for	ADP
ejpam-3848	60	19	any	any	DET
ejpam-3848	60	20	t0	t0	PROPN
ejpam-3848	60	21	and	and	CCONJ
ejpam-3848	60	22	x0	x0	NUM
ejpam-3848	60	23	,	,	PUNCT
ejpam-3848	60	24	and	and	CCONJ
ejpam-3848	60	25	(	(	PUNCT
ejpam-3848	60	26	1	1	X
ejpam-3848	60	27	)	)	PUNCT
ejpam-3848	60	28	also	also	ADV
ejpam-3848	60	29	has	have	VERB
ejpam-3848	60	30	a	a	DET
ejpam-3848	60	31	unique	unique	ADJ
ejpam-3848	60	32	solution	solution	NOUN
ejpam-3848	60	33	y(t	y(t	NUM
ejpam-3848	60	34	;	;	PUNCT
ejpam-3848	60	35	t0	t0	PROPN
ejpam-3848	60	36	,	,	PUNCT
ejpam-3848	60	37	y0	y0	NOUN
ejpam-3848	60	38	)	)	PUNCT
ejpam-3848	60	39	satisfying	satisfy	VERB
ejpam-3848	60	40	initial	initial	ADJ
ejpam-3848	60	41	conditions	condition	NOUN
ejpam-3848	60	42	[	[	X
ejpam-3848	60	43	16	16	NUM
ejpam-3848	60	44	]	]	PUNCT
ejpam-3848	60	45	.	.	PUNCT
ejpam-3848	61	1	the	the	DET
ejpam-3848	61	2	exponential	exponential	ADJ
ejpam-3848	61	3	stability	stability	NOUN
ejpam-3848	61	4	of	of	ADP
ejpam-3848	61	5	system	system	NOUN
ejpam-3848	61	6	(	(	PUNCT
ejpam-3848	61	7	1	1	X
ejpam-3848	61	8	)	)	PUNCT
ejpam-3848	61	9	is	be	AUX
ejpam-3848	61	10	defined	define	VERB
ejpam-3848	61	11	as	as	ADP
ejpam-3848	61	12	follows	follow	VERB
ejpam-3848	61	13	.	.	PUNCT
ejpam-3848	62	1	definition	definition	NOUN
ejpam-3848	62	2	1	1	NUM
ejpam-3848	62	3	.	.	PUNCT
ejpam-3848	63	1	(	(	PUNCT
ejpam-3848	63	2	[	[	X
ejpam-3848	63	3	16	16	NUM
ejpam-3848	63	4	]	]	PUNCT
ejpam-3848	63	5	)	)	PUNCT
ejpam-3848	63	6	the	the	DET
ejpam-3848	63	7	state	state	NOUN
ejpam-3848	63	8	vector	vector	NOUN
ejpam-3848	63	9	x(t	x(t	PROPN
ejpam-3848	63	10	;	;	PUNCT
ejpam-3848	63	11	t0	t0	PROPN
ejpam-3848	63	12	,	,	PUNCT
ejpam-3848	63	13	y0	y0	PROPN
ejpam-3848	63	14	)	)	PUNCT
ejpam-3848	63	15	in	in	ADP
ejpam-3848	63	16	(	(	PUNCT
ejpam-3848	63	17	2	2	X
ejpam-3848	63	18	)	)	PUNCT
ejpam-3848	63	19	is	be	AUX
ejpam-3848	63	20	globally	globally	ADV
ejpam-3848	63	21	exponentially	exponentially	ADV
ejpam-3848	63	22	stable	stable	ADJ
ejpam-3848	63	23	,	,	PUNCT
ejpam-3848	63	24	if	if	SCONJ
ejpam-3848	63	25	for	for	ADP
ejpam-3848	63	26	arbitrary	arbitrary	ADJ
ejpam-3848	63	27	t0	t0	PROPN
ejpam-3848	63	28	∈	∈	PROPN
ejpam-3848	64	1	<	<	X
ejpam-3848	64	2	+	+	X
ejpam-3848	64	3	and	and	CCONJ
ejpam-3848	64	4	x0	x0	PROPN
ejpam-3848	64	5	∈	∈	PROPN
ejpam-3848	64	6	<	<	X
ejpam-3848	64	7	+	+	PROPN
ejpam-3848	64	8	,	,	PUNCT
ejpam-3848	64	9	there	there	PRON
ejpam-3848	64	10	exist	exist	VERB
ejpam-3848	64	11	u	u	NOUN
ejpam-3848	64	12	,	,	PUNCT
ejpam-3848	64	13	v	v	NOUN
ejpam-3848	64	14	∈	∈	NOUN
ejpam-3848	64	15	<	<	X
ejpam-3848	64	16	+	+	ADJ
ejpam-3848	64	17	,	,	PUNCT
ejpam-3848	64	18	such	such	ADJ
ejpam-3848	64	19	that	that	SCONJ
ejpam-3848	64	20	the	the	DET
ejpam-3848	64	21	inequality	inequality	NOUN
ejpam-3848	64	22	‖x(t	‖x(t	NOUN
ejpam-3848	64	23	;	;	PUNCT
ejpam-3848	64	24	t0	t0	PROPN
ejpam-3848	64	25	,	,	PUNCT
ejpam-3848	64	26	x0)‖	x0)‖	PROPN
ejpam-3848	64	27	≤	≤	NUM
ejpam-3848	64	28	v‖x0‖exp{−u(t−	v‖x0‖exp{−u(t−	NOUN
ejpam-3848	64	29	t0	t0	NOUN
ejpam-3848	64	30	)	)	PUNCT
ejpam-3848	64	31	}	}	PUNCT
ejpam-3848	64	32	holds	hold	VERB
ejpam-3848	64	33	for	for	ADP
ejpam-3848	64	34	all	all	DET
ejpam-3848	64	35	t	t	PROPN
ejpam-3848	64	36	≥	≥	NOUN
ejpam-3848	64	37	t0	t0	PROPN
ejpam-3848	64	38	≥	≥	NUM
ejpam-3848	64	39	0	0	NUM
ejpam-3848	64	40	.	.	PUNCT
ejpam-3848	65	1	for	for	ADP
ejpam-3848	65	2	stochastic	stochastic	ADJ
ejpam-3848	65	3	differential	differential	ADJ
ejpam-3848	65	4	equations	equation	NOUN
ejpam-3848	65	5	,	,	PUNCT
ejpam-3848	65	6	various	various	ADJ
ejpam-3848	65	7	definitions	definition	NOUN
ejpam-3848	65	8	of	of	ADP
ejpam-3848	65	9	exponential	exponential	ADJ
ejpam-3848	65	10	stability	stability	NOUN
ejpam-3848	65	11	are	be	AUX
ejpam-3848	65	12	proposed	propose	VERB
ejpam-3848	65	13	,	,	PUNCT
ejpam-3848	65	14	two	two	NUM
ejpam-3848	65	15	of	of	ADP
ejpam-3848	65	16	the	the	DET
ejpam-3848	65	17	most	most	ADV
ejpam-3848	65	18	important	important	ADJ
ejpam-3848	65	19	ones	one	NOUN
ejpam-3848	65	20	are	be	AUX
ejpam-3848	65	21	given	give	VERB
ejpam-3848	65	22	in	in	ADP
ejpam-3848	65	23	the	the	DET
ejpam-3848	65	24	following	following	NOUN
ejpam-3848	65	25	.	.	PUNCT
ejpam-3848	66	1	definition	definition	NOUN
ejpam-3848	66	2	2	2	NUM
ejpam-3848	66	3	.	.	PUNCT
ejpam-3848	67	1	(	(	PUNCT
ejpam-3848	67	2	[	[	X
ejpam-3848	67	3	16	16	NUM
ejpam-3848	67	4	]	]	PUNCT
ejpam-3848	67	5	)	)	PUNCT
ejpam-3848	67	6	the	the	DET
ejpam-3848	67	7	state	state	NOUN
ejpam-3848	67	8	vector	vector	NOUN
ejpam-3848	67	9	y(t	y(t	PROPN
ejpam-3848	67	10	;	;	PUNCT
ejpam-3848	67	11	t0	t0	PROPN
ejpam-3848	67	12	,	,	PUNCT
ejpam-3848	67	13	y0	y0	PROPN
ejpam-3848	67	14	)	)	PUNCT
ejpam-3848	67	15	in	in	ADP
ejpam-3848	67	16	(	(	PUNCT
ejpam-3848	67	17	1	1	X
ejpam-3848	67	18	)	)	PUNCT
ejpam-3848	67	19	is	be	AUX
ejpam-3848	67	20	almost	almost	ADV
ejpam-3848	67	21	surely	surely	ADV
ejpam-3848	67	22	exponentially	exponentially	ADV
ejpam-3848	67	23	stable	stable	ADJ
ejpam-3848	67	24	if	if	SCONJ
ejpam-3848	67	25	for	for	ADP
ejpam-3848	67	26	any	any	DET
ejpam-3848	67	27	t0	t0	PROPN
ejpam-3848	67	28	∈	∈	PROPN
ejpam-3848	68	1	<	<	X
ejpam-3848	68	2	+	+	X
ejpam-3848	68	3	and	and	CCONJ
ejpam-3848	68	4	y0	y0	NOUN
ejpam-3848	68	5	∈	∈	NOUN
ejpam-3848	68	6	<	<	X
ejpam-3848	68	7	+	+	PROPN
ejpam-3848	68	8	,	,	PUNCT
ejpam-3848	68	9	there	there	PRON
ejpam-3848	68	10	exist	exist	VERB
ejpam-3848	68	11	u	u	NOUN
ejpam-3848	68	12	,	,	PUNCT
ejpam-3848	68	13	v	v	NOUN
ejpam-3848	68	14	∈	∈	NOUN
ejpam-3848	68	15	<	<	X
ejpam-3848	68	16	+	+	NOUN
ejpam-3848	68	17	such	such	ADJ
ejpam-3848	68	18	that	that	PRON
ejpam-3848	68	19	‖y(t	‖y(t	ADP
ejpam-3848	68	20	;	;	PUNCT
ejpam-3848	68	21	t0	t0	PROPN
ejpam-3848	68	22	,	,	PUNCT
ejpam-3848	68	23	y0)‖	y0)‖	PROPN
ejpam-3848	68	24	≤	≤	NUM
ejpam-3848	68	25	v‖y0‖exp{−u(t−	v‖y0‖exp{−u(t−	NUM
ejpam-3848	68	26	t0	t0	NOUN
ejpam-3848	68	27	)	)	PUNCT
ejpam-3848	68	28	}	}	PUNCT
ejpam-3848	68	29	,	,	PUNCT
ejpam-3848	68	30	t	t	PROPN
ejpam-3848	68	31	≥	≥	PROPN
ejpam-3848	68	32	t0	t0	PROPN
ejpam-3848	68	33	≥	≥	NUM
ejpam-3848	68	34	0	0	NUM
ejpam-3848	68	35	holds	hold	VERB
ejpam-3848	68	36	almost	almost	ADV
ejpam-3848	68	37	surely	surely	ADV
ejpam-3848	68	38	for	for	ADP
ejpam-3848	68	39	all	all	DET
ejpam-3848	68	40	t	t	PROPN
ejpam-3848	68	41	≥	≥	NOUN
ejpam-3848	68	42	t0	t0	PROPN
ejpam-3848	68	43	≥	≥	NUM
ejpam-3848	68	44	0	0	NUM
ejpam-3848	68	45	.	.	PUNCT
ejpam-3848	69	1	definition	definition	NOUN
ejpam-3848	69	2	3	3	NUM
ejpam-3848	69	3	.	.	PUNCT
ejpam-3848	70	1	(	(	PUNCT
ejpam-3848	70	2	[	[	X
ejpam-3848	70	3	16	16	NUM
ejpam-3848	70	4	]	]	PUNCT
ejpam-3848	70	5	)	)	PUNCT
ejpam-3848	70	6	the	the	DET
ejpam-3848	70	7	state	state	NOUN
ejpam-3848	70	8	vector	vector	NOUN
ejpam-3848	70	9	y(t	y(t	PROPN
ejpam-3848	70	10	;	;	PUNCT
ejpam-3848	70	11	t0	t0	PROPN
ejpam-3848	70	12	,	,	PUNCT
ejpam-3848	70	13	y0	y0	PROPN
ejpam-3848	70	14	)	)	PUNCT
ejpam-3848	70	15	in	in	ADP
ejpam-3848	70	16	(	(	PUNCT
ejpam-3848	70	17	1	1	X
ejpam-3848	70	18	)	)	PUNCT
ejpam-3848	70	19	is	be	AUX
ejpam-3848	70	20	mean	mean	ADJ
ejpam-3848	70	21	square	square	ADJ
ejpam-3848	70	22	exponentially	exponentially	ADV
ejpam-3848	70	23	stable	stable	ADJ
ejpam-3848	70	24	if	if	SCONJ
ejpam-3848	70	25	for	for	ADP
ejpam-3848	70	26	any	any	DET
ejpam-3848	70	27	t0	t0	PROPN
ejpam-3848	70	28	∈	∈	PROPN
ejpam-3848	71	1	<	<	X
ejpam-3848	71	2	+	+	X
ejpam-3848	71	3	and	and	CCONJ
ejpam-3848	71	4	y0	y0	NOUN
ejpam-3848	71	5	∈	∈	NOUN
ejpam-3848	71	6	<	<	X
ejpam-3848	71	7	+	+	PROPN
ejpam-3848	71	8	,	,	PUNCT
ejpam-3848	71	9	there	there	PRON
ejpam-3848	71	10	exist	exist	VERB
ejpam-3848	71	11	u	u	NOUN
ejpam-3848	71	12	,	,	PUNCT
ejpam-3848	71	13	v	v	NOUN
ejpam-3848	71	14	∈	∈	NOUN
ejpam-3848	71	15	<	<	X
ejpam-3848	71	16	+	+	NOUN
ejpam-3848	71	17	such	such	ADJ
ejpam-3848	71	18	that	that	DET
ejpam-3848	71	19	e‖y(t	e‖y(t	NOUN
ejpam-3848	71	20	;	;	PUNCT
ejpam-3848	71	21	t0	t0	PROPN
ejpam-3848	71	22	,	,	PUNCT
ejpam-3848	71	23	y0)‖2	y0)‖2	PROPN
ejpam-3848	71	24	≤	≤	PUNCT
ejpam-3848	71	25	v‖y0‖2exp{−u(t−	v‖y0‖2exp{−u(t−	PROPN
ejpam-3848	71	26	t0	t0	PROPN
ejpam-3848	71	27	)	)	PUNCT
ejpam-3848	71	28	}	}	PUNCT
ejpam-3848	71	29	,	,	PUNCT
ejpam-3848	71	30	t	t	PROPN
ejpam-3848	71	31	≥	≥	PROPN
ejpam-3848	71	32	t0	t0	PROPN
ejpam-3848	71	33	≥	≥	NUM
ejpam-3848	71	34	0	0	NUM
ejpam-3848	71	35	holds	hold	VERB
ejpam-3848	71	36	for	for	ADP
ejpam-3848	71	37	all	all	DET
ejpam-3848	71	38	t	t	PROPN
ejpam-3848	71	39	≥	≥	NOUN
ejpam-3848	71	40	t0	t0	PROPN
ejpam-3848	71	41	≥	≥	PROPN
ejpam-3848	71	42	0	0	NUM
ejpam-3848	71	43	.	.	PUNCT
ejpam-3848	72	1	z.	z.	PROPN
ejpam-3848	72	2	mingxin	mingxin	PROPN
ejpam-3848	72	3	,	,	PUNCT
ejpam-3848	72	4	x.	x.	PROPN
ejpam-3848	72	5	tao	tao	PROPN
ejpam-3848	72	6	,	,	PUNCT
ejpam-3848	72	7	s.	s.	PROPN
ejpam-3848	72	8	wenxiao	wenxiao	PROPN
ejpam-3848	72	9	/	/	SYM
ejpam-3848	72	10	eur	eur	PROPN
ejpam-3848	72	11	.	.	PUNCT
ejpam-3848	73	1	j.	j.	PROPN
ejpam-3848	73	2	pure	pure	PROPN
ejpam-3848	73	3	appl	appl	PROPN
ejpam-3848	73	4	.	.	PROPN
ejpam-3848	73	5	math	math	PROPN
ejpam-3848	73	6	,	,	PUNCT
ejpam-3848	73	7	13	13	NUM
ejpam-3848	73	8	(	(	PUNCT
ejpam-3848	73	9	4	4	NUM
ejpam-3848	73	10	)	)	PUNCT
ejpam-3848	73	11	(	(	PUNCT
ejpam-3848	73	12	2020	2020	NUM
ejpam-3848	73	13	)	)	PUNCT
ejpam-3848	73	14	,	,	PUNCT
ejpam-3848	73	15	794	794	X
ejpam-3848	73	16	-	-	SYM
ejpam-3848	73	17	806	806	NUM
ejpam-3848	73	18	797	797	NUM
ejpam-3848	73	19	it	it	PRON
ejpam-3848	73	20	is	be	AUX
ejpam-3848	73	21	shown	show	VERB
ejpam-3848	73	22	that	that	SCONJ
ejpam-3848	73	23	almost	almost	ADV
ejpam-3848	73	24	surely	surely	ADV
ejpam-3848	73	25	exponentially	exponentially	ADV
ejpam-3848	73	26	stable	stable	ADJ
ejpam-3848	73	27	implies	imply	VERB
ejpam-3848	73	28	mean	mean	VERB
ejpam-3848	73	29	square	square	ADJ
ejpam-3848	73	30	exponentially	exponentially	ADV
ejpam-3848	73	31	stable	stable	ADJ
ejpam-3848	73	32	,	,	PUNCT
ejpam-3848	73	33	but	but	CCONJ
ejpam-3848	73	34	the	the	DET
ejpam-3848	73	35	converse	converse	NOUN
ejpam-3848	73	36	is	be	AUX
ejpam-3848	73	37	not	not	PART
ejpam-3848	73	38	true	true	ADJ
ejpam-3848	73	39	[	[	X
ejpam-3848	73	40	15	15	NUM
ejpam-3848	73	41	]	]	PUNCT
ejpam-3848	73	42	.	.	PUNCT
ejpam-3848	74	1	however	however	ADV
ejpam-3848	74	2	,	,	PUNCT
ejpam-3848	74	3	under	under	ADP
ejpam-3848	74	4	assumption	assumption	NOUN
ejpam-3848	74	5	(	(	PUNCT
ejpam-3848	74	6	a1	a1	NOUN
ejpam-3848	74	7	)	)	PUNCT
ejpam-3848	74	8	,	,	PUNCT
ejpam-3848	74	9	we	we	PRON
ejpam-3848	74	10	have	have	VERB
ejpam-3848	74	11	the	the	DET
ejpam-3848	74	12	following	follow	VERB
ejpam-3848	74	13	lemma	lemma	PROPN
ejpam-3848	74	14	.	.	PUNCT
ejpam-3848	75	1	lemma	lemma	PROPN
ejpam-3848	75	2	1	1	NUM
ejpam-3848	75	3	.	.	PUNCT
ejpam-3848	76	1	(	(	PUNCT
ejpam-3848	76	2	[	[	X
ejpam-3848	76	3	15	15	NUM
ejpam-3848	76	4	]	]	SYM
ejpam-3848	76	5	)	)	PUNCT
ejpam-3848	76	6	if	if	SCONJ
ejpam-3848	76	7	(	(	PUNCT
ejpam-3848	76	8	a1	a1	NOUN
ejpam-3848	76	9	)	)	PUNCT
ejpam-3848	76	10	holds	hold	NOUN
ejpam-3848	76	11	,	,	PUNCT
ejpam-3848	76	12	then	then	ADV
ejpam-3848	76	13	almost	almost	ADV
ejpam-3848	76	14	surely	surely	ADV
ejpam-3848	76	15	exponential	exponential	ADJ
ejpam-3848	76	16	stability	stability	NOUN
ejpam-3848	76	17	could	could	AUX
ejpam-3848	76	18	be	be	AUX
ejpam-3848	76	19	derived	derive	VERB
ejpam-3848	76	20	from	from	ADP
ejpam-3848	76	21	mean	mean	ADJ
ejpam-3848	76	22	square	square	ADJ
ejpam-3848	76	23	exponential	exponential	ADJ
ejpam-3848	76	24	stability	stability	NOUN
ejpam-3848	76	25	.	.	PUNCT
ejpam-3848	77	1	lemma	lemma	PROPN
ejpam-3848	77	2	2	2	NUM
ejpam-3848	77	3	.	.	PUNCT
ejpam-3848	78	1	(	(	PUNCT
ejpam-3848	78	2	[	[	X
ejpam-3848	78	3	20	20	NUM
ejpam-3848	78	4	]	]	PUNCT
ejpam-3848	78	5	)	)	PUNCT
ejpam-3848	78	6	for	for	ADP
ejpam-3848	78	7	any	any	PRON
ejpam-3848	78	8	xi	xi	ADP
ejpam-3848	78	9	>	>	X
ejpam-3848	78	10	0	0	NUM
ejpam-3848	78	11	,	,	PUNCT
ejpam-3848	78	12	0	0	NUM
ejpam-3848	78	13	<	<	X
ejpam-3848	78	14	λi	λi	X
ejpam-3848	78	15	<	<	X
ejpam-3848	78	16	1	1	NUM
ejpam-3848	78	17	and	and	CCONJ
ejpam-3848	78	18	λ1	λ1	PROPN
ejpam-3848	78	19	+	+	CCONJ
ejpam-3848	78	20	·	·	PUNCT
ejpam-3848	78	21	·	·	PUNCT
ejpam-3848	78	22	·	·	PUNCT
ejpam-3848	78	23	+	+	NUM
ejpam-3848	78	24	λn	λn	NOUN
ejpam-3848	78	25	=	=	SYM
ejpam-3848	78	26	1	1	NUM
ejpam-3848	78	27	we	we	PRON
ejpam-3848	78	28	have	have	VERB
ejpam-3848	78	29	(	(	PUNCT
ejpam-3848	78	30	x1	x1	PROPN
ejpam-3848	78	31	+	+	PROPN
ejpam-3848	78	32	·	·	PUNCT
ejpam-3848	78	33	·	·	PUNCT
ejpam-3848	78	34	·	·	PUNCT
ejpam-3848	79	1	+	+	NUM
ejpam-3848	79	2	xn)2	xn)2	PROPN
ejpam-3848	79	3	≤	≤	NUM
ejpam-3848	79	4	x2	x2	PROPN
ejpam-3848	79	5	1	1	NUM
ejpam-3848	79	6	λ1	λ1	ADJ
ejpam-3848	79	7	+	+	NUM
ejpam-3848	79	8	·	·	PUNCT
ejpam-3848	79	9	·	·	PUNCT
ejpam-3848	79	10	·	·	PUNCT
ejpam-3848	80	1	+	+	NUM
ejpam-3848	80	2	x2	x2	PROPN
ejpam-3848	80	3	n	n	PRON
ejpam-3848	80	4	λn	λn	NOUN
ejpam-3848	80	5	.	.	PUNCT
ejpam-3848	81	1	(	(	PUNCT
ejpam-3848	81	2	4	4	X
ejpam-3848	81	3	)	)	PUNCT
ejpam-3848	81	4	next	next	ADV
ejpam-3848	81	5	,	,	PUNCT
ejpam-3848	81	6	to	to	PART
ejpam-3848	81	7	get	get	VERB
ejpam-3848	81	8	the	the	DET
ejpam-3848	81	9	main	main	ADJ
ejpam-3848	81	10	result	result	NOUN
ejpam-3848	81	11	,	,	PUNCT
ejpam-3848	81	12	we	we	PRON
ejpam-3848	81	13	need	need	VERB
ejpam-3848	81	14	another	another	DET
ejpam-3848	81	15	assumption	assumption	NOUN
ejpam-3848	81	16	:	:	PUNCT
ejpam-3848	81	17	(	(	PUNCT
ejpam-3848	81	18	a2	a2	PROPN
ejpam-3848	81	19	)	)	PUNCT
ejpam-3848	81	20	:	:	PUNCT
ejpam-3848	81	21	γ̄(α	γ̄(α	X
ejpam-3848	81	22	)	)	PUNCT
ejpam-3848	82	1	=	=	PRON
ejpam-3848	82	2	(	(	PUNCT
ejpam-3848	82	3	3α2	3α2	NUM
ejpam-3848	82	4	λ2	λ2	NOUN
ejpam-3848	82	5	(	(	PUNCT
ejpam-3848	82	6	‖a‖2	‖a‖2	PROPN
ejpam-3848	82	7	+	+	CCONJ
ejpam-3848	82	8	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	82	9	)	)	PUNCT
ejpam-3848	82	10	+	+	NUM
ejpam-3848	82	11	ασ2	ασ2	X
ejpam-3848	83	1	λ3	λ3	PROPN
ejpam-3848	83	2	)	)	PUNCT
ejpam-3848	83	3	(	(	PUNCT
ejpam-3848	83	4	1	1	NUM
ejpam-3848	83	5	λ1	λ1	ADJ
ejpam-3848	83	6	+	+	NUM
ejpam-3848	83	7	3α	3α	NUM
ejpam-3848	83	8	λ2	λ2	NOUN
ejpam-3848	83	9	k2‖d‖2	k2‖d‖2	NOUN
ejpam-3848	83	10	)	)	PUNCT
ejpam-3848	83	11	×	×	NOUN
ejpam-3848	83	12	exp	exp	NOUN
ejpam-3848	83	13	{	{	PUNCT
ejpam-3848	83	14	3α2	3α2	NUM
ejpam-3848	83	15	λ2	λ2	NOUN
ejpam-3848	83	16	(	(	PUNCT
ejpam-3848	83	17	‖a‖2	‖a‖2	PROPN
ejpam-3848	83	18	+	+	CCONJ
ejpam-3848	83	19	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	83	20	)	)	PUNCT
ejpam-3848	83	21	+	+	NUM
ejpam-3848	84	1	ασ2	ασ2	X
ejpam-3848	85	1	λ3	λ3	NOUN
ejpam-3848	85	2	}	}	PUNCT
ejpam-3848	85	3	+	+	NUM
ejpam-3848	85	4	3	3	NUM
ejpam-3848	85	5	λ2	λ2	NOUN
ejpam-3848	85	6	α2k2‖d‖2	α2k2‖d‖2	CCONJ
ejpam-3848	85	7	<	<	X
ejpam-3848	85	8	1	1	NUM
ejpam-3848	85	9	.	.	PUNCT
ejpam-3848	86	1	lemma	lemma	PROPN
ejpam-3848	86	2	3	3	X
ejpam-3848	86	3	.	.	PUNCT
ejpam-3848	87	1	if	if	SCONJ
ejpam-3848	87	2	assumptions	assumption	NOUN
ejpam-3848	87	3	(	(	PUNCT
ejpam-3848	87	4	a1	a1	NOUN
ejpam-3848	87	5	)	)	PUNCT
ejpam-3848	87	6	and	and	CCONJ
ejpam-3848	87	7	(	(	PUNCT
ejpam-3848	87	8	a2	a2	NOUN
ejpam-3848	87	9	)	)	PUNCT
ejpam-3848	87	10	hold	hold	VERB
ejpam-3848	87	11	,	,	PUNCT
ejpam-3848	87	12	then	then	ADV
ejpam-3848	87	13	for	for	ADP
ejpam-3848	87	14	any	any	DET
ejpam-3848	87	15	t	t	NOUN
ejpam-3848	87	16	∈	∈	NOUN
ejpam-3848	87	17	<	<	X
ejpam-3848	87	18	+	+	PROPN
ejpam-3848	87	19	,	,	PUNCT
ejpam-3848	87	20	the	the	DET
ejpam-3848	87	21	solution	solution	NOUN
ejpam-3848	87	22	y(t	y(t	NUM
ejpam-3848	87	23	)	)	PUNCT
ejpam-3848	87	24	of	of	ADP
ejpam-3848	87	25	(	(	PUNCT
ejpam-3848	87	26	1	1	X
ejpam-3848	87	27	)	)	PUNCT
ejpam-3848	87	28	satisfies	satisfie	NOUN
ejpam-3848	87	29	e‖y(β(t))‖2	e‖y(β(t))‖2	PRON
ejpam-3848	87	30	≤	≤	ADJ
ejpam-3848	87	31	λe‖y(t)‖2	λe‖y(t)‖2	NOUN
ejpam-3848	87	32	(	(	PUNCT
ejpam-3848	87	33	5	5	NUM
ejpam-3848	87	34	)	)	PUNCT
ejpam-3848	87	35	where	where	SCONJ
ejpam-3848	87	36	the	the	DET
ejpam-3848	87	37	coefficient	coefficient	NOUN
ejpam-3848	87	38	λ	λ	X
ejpam-3848	87	39	=	=	SYM
ejpam-3848	87	40	λ−1	λ−1	PROPN
ejpam-3848	87	41	1	1	NUM
ejpam-3848	87	42	(	(	PUNCT
ejpam-3848	87	43	1−	1−	NUM
ejpam-3848	87	44	γ̄(α))−1	γ̄(α))−1	NOUN
ejpam-3848	87	45	.	.	PUNCT
ejpam-3848	88	1	(	(	PUNCT
ejpam-3848	88	2	6	6	NUM
ejpam-3848	88	3	)	)	PUNCT
ejpam-3848	88	4	proof	proof	NOUN
ejpam-3848	88	5	.	.	PUNCT
ejpam-3848	89	1	for	for	ADP
ejpam-3848	89	2	any	any	DET
ejpam-3848	89	3	t	t	PROPN
ejpam-3848	89	4	≥	≥	NOUN
ejpam-3848	89	5	t0	t0	PROPN
ejpam-3848	89	6	,	,	PUNCT
ejpam-3848	89	7	by	by	ADP
ejpam-3848	89	8	the	the	DET
ejpam-3848	89	9	definition	definition	NOUN
ejpam-3848	89	10	of	of	ADP
ejpam-3848	89	11	β(t	β(t	PROPN
ejpam-3848	89	12	)	)	PUNCT
ejpam-3848	89	13	,	,	PUNCT
ejpam-3848	89	14	there	there	PRON
ejpam-3848	89	15	exist	exist	VERB
ejpam-3848	89	16	sequences	sequence	NOUN
ejpam-3848	89	17	{	{	PUNCT
ejpam-3848	89	18	αk	αk	NOUN
ejpam-3848	89	19	}	}	PUNCT
ejpam-3848	89	20	and	and	CCONJ
ejpam-3848	89	21	{	{	PUNCT
ejpam-3848	89	22	ηk	ηk	PROPN
ejpam-3848	89	23	}	}	PUNCT
ejpam-3848	89	24	(	(	PUNCT
ejpam-3848	89	25	k	k	PROPN
ejpam-3848	89	26	∈	∈	PROPN
ejpam-3848	89	27	n	n	CCONJ
ejpam-3848	89	28	)	)	PUNCT
ejpam-3848	89	29	such	such	ADJ
ejpam-3848	89	30	that	that	DET
ejpam-3848	89	31	β(t	β(t	NOUN
ejpam-3848	89	32	)	)	PUNCT
ejpam-3848	90	1	=	=	PUNCT
ejpam-3848	90	2	ηk	ηk	ADP
ejpam-3848	90	3	∈	∈	PROPN
ejpam-3848	90	4	[	[	X
ejpam-3848	90	5	αk	αk	X
ejpam-3848	90	6	,	,	PUNCT
ejpam-3848	90	7	αk+1	αk+1	NUM
ejpam-3848	90	8	)	)	PUNCT
ejpam-3848	90	9	,	,	PUNCT
ejpam-3848	90	10	t	t	PROPN
ejpam-3848	90	11	∈	∈	PROPN
ejpam-3848	91	1	[	[	X
ejpam-3848	91	2	αk	αk	X
ejpam-3848	91	3	,	,	PUNCT
ejpam-3848	91	4	αk+1	αk+1	NUM
ejpam-3848	91	5	)	)	PUNCT
ejpam-3848	91	6	.	.	PUNCT
ejpam-3848	92	1	for	for	ADP
ejpam-3848	92	2	t	t	PROPN
ejpam-3848	92	3	≥	≥	X
ejpam-3848	92	4	ηk	ηk	PROPN
ejpam-3848	92	5	,	,	PUNCT
ejpam-3848	92	6	from	from	ADP
ejpam-3848	92	7	(	(	PUNCT
ejpam-3848	92	8	1	1	X
ejpam-3848	92	9	)	)	PUNCT
ejpam-3848	92	10	we	we	PRON
ejpam-3848	92	11	have	have	VERB
ejpam-3848	92	12	y(t	y(t	NUM
ejpam-3848	92	13	)	)	PUNCT
ejpam-3848	93	1	=	=	SYM
ejpam-3848	93	2	y(ηk	y(ηk	NUM
ejpam-3848	93	3	)	)	PUNCT
ejpam-3848	94	1	+	+	CCONJ
ejpam-3848	94	2	∫	∫	PROPN
ejpam-3848	94	3	t	t	X
ejpam-3848	94	4	ηk	ηk	X
ejpam-3848	94	5	[	[	PUNCT
ejpam-3848	94	6	−ay(s	−ay(s	PROPN
ejpam-3848	94	7	)	)	PUNCT
ejpam-3848	94	8	+	+	NOUN
ejpam-3848	94	9	bf(y(s	bf(y(	VERB
ejpam-3848	94	10	)	)	PUNCT
ejpam-3848	94	11	)	)	PUNCT
ejpam-3848	95	1	+	+	VERB
ejpam-3848	95	2	df(y(ηk	df(y(ηk	NOUN
ejpam-3848	95	3	)	)	PUNCT
ejpam-3848	95	4	)	)	PUNCT
ejpam-3848	95	5	]	]	PUNCT
ejpam-3848	96	1	ds+	ds+	PROPN
ejpam-3848	96	2	∫	∫	PROPN
ejpam-3848	96	3	t	t	X
ejpam-3848	96	4	ηk	ηk	PROPN
ejpam-3848	96	5	σy(s)dω(s	σy(s)dω(s	PROPN
ejpam-3848	96	6	)	)	PUNCT
ejpam-3848	96	7	.	.	PUNCT
ejpam-3848	97	1	(	(	PUNCT
ejpam-3848	97	2	7	7	X
ejpam-3848	97	3	)	)	PUNCT
ejpam-3848	97	4	by	by	ADP
ejpam-3848	97	5	applying	apply	VERB
ejpam-3848	97	6	lemma	lemma	PROPN
ejpam-3848	97	7	2	2	NUM
ejpam-3848	97	8	in	in	ADP
ejpam-3848	97	9	the	the	DET
ejpam-3848	97	10	case	case	NOUN
ejpam-3848	97	11	n	n	NOUN
ejpam-3848	97	12	=	=	SYM
ejpam-3848	97	13	3	3	NUM
ejpam-3848	97	14	,	,	PUNCT
ejpam-3848	97	15	assumption	assumption	NOUN
ejpam-3848	97	16	(	(	PUNCT
ejpam-3848	97	17	a1	a1	NOUN
ejpam-3848	97	18	)	)	PUNCT
ejpam-3848	97	19	,	,	PUNCT
ejpam-3848	97	20	the	the	DET
ejpam-3848	97	21	properties	property	NOUN
ejpam-3848	97	22	of	of	ADP
ejpam-3848	97	23	mathematical	mathematical	ADJ
ejpam-3848	97	24	expectation	expectation	NOUN
ejpam-3848	97	25	e	e	NOUN
ejpam-3848	97	26	(	(	PUNCT
ejpam-3848	97	27	·	·	PUNCT
ejpam-3848	97	28	)	)	PUNCT
ejpam-3848	97	29	and	and	CCONJ
ejpam-3848	97	30	cauchy	cauchy	PROPN
ejpam-3848	97	31	-	-	PUNCT
ejpam-3848	97	32	schwarz	schwarz	PROPN
ejpam-3848	97	33	inequality	inequality	NOUN
ejpam-3848	97	34	we	we	PRON
ejpam-3848	97	35	have	have	VERB
ejpam-3848	97	36	e‖y(t)‖2	e‖y(t)‖2	NOUN
ejpam-3848	97	37	=	=	SYM
ejpam-3848	97	38	e‖y(ηk	e‖y(ηk	NUM
ejpam-3848	97	39	)	)	PUNCT
ejpam-3848	98	1	+	+	CCONJ
ejpam-3848	98	2	∫	∫	PROPN
ejpam-3848	98	3	t	t	X
ejpam-3848	98	4	ηk	ηk	X
ejpam-3848	98	5	[	[	PUNCT
ejpam-3848	98	6	−ay(s	−ay(s	PROPN
ejpam-3848	98	7	)	)	PUNCT
ejpam-3848	98	8	+	+	NOUN
ejpam-3848	98	9	bf(y(s	bf(y(	VERB
ejpam-3848	98	10	)	)	PUNCT
ejpam-3848	98	11	)	)	PUNCT
ejpam-3848	99	1	+	+	VERB
ejpam-3848	99	2	df(y(ηk	df(y(ηk	NOUN
ejpam-3848	99	3	)	)	PUNCT
ejpam-3848	99	4	)	)	PUNCT
ejpam-3848	99	5	]	]	PUNCT
ejpam-3848	100	1	ds+	ds+	PROPN
ejpam-3848	100	2	∫	∫	PROPN
ejpam-3848	100	3	t	t	PROPN
ejpam-3848	100	4	ηk	ηk	AUX
ejpam-3848	100	5	σy(t)dω(t)‖2	σy(t)dω(t)‖2	VERB
ejpam-3848	100	6	≤	≤	NUM
ejpam-3848	100	7	1	1	NUM
ejpam-3848	100	8	λ1	λ1	NOUN
ejpam-3848	100	9	e‖y(ηk)‖2	e‖y(ηk)‖2	NOUN
ejpam-3848	100	10	+	+	CCONJ
ejpam-3848	100	11	1	1	NUM
ejpam-3848	100	12	λ2	λ2	NOUN
ejpam-3848	100	13	e‖	e‖	ADJ
ejpam-3848	100	14	∫	∫	PROPN
ejpam-3848	100	15	t	t	X
ejpam-3848	100	16	ηk	ηk	X
ejpam-3848	100	17	[	[	PUNCT
ejpam-3848	100	18	−ay(s	−ay(s	PROPN
ejpam-3848	100	19	)	)	PUNCT
ejpam-3848	100	20	+	+	NOUN
ejpam-3848	100	21	bf(y(s	bf(y(	VERB
ejpam-3848	100	22	)	)	PUNCT
ejpam-3848	100	23	)	)	PUNCT
ejpam-3848	101	1	+	+	VERB
ejpam-3848	101	2	df(y(ηk	df(y(ηk	NOUN
ejpam-3848	101	3	)	)	PUNCT
ejpam-3848	101	4	)	)	PUNCT
ejpam-3848	101	5	]	]	PUNCT
ejpam-3848	102	1	ds‖2	ds‖2	PROPN
ejpam-3848	102	2	+	+	CCONJ
ejpam-3848	102	3	1	1	NUM
ejpam-3848	102	4	λ3	λ3	PROPN
ejpam-3848	102	5	e‖	e‖	ADJ
ejpam-3848	102	6	∫	∫	PROPN
ejpam-3848	102	7	t	t	PROPN
ejpam-3848	102	8	ηk	ηk	AUX
ejpam-3848	102	9	σy(t)dω(t)‖2	σy(t)dω(t)‖2	VERB
ejpam-3848	102	10	≤	≤	NUM
ejpam-3848	102	11	1	1	NUM
ejpam-3848	102	12	λ1	λ1	NOUN
ejpam-3848	102	13	e‖y(ηk)‖2	e‖y(ηk)‖2	NOUN
ejpam-3848	102	14	+	+	CCONJ
ejpam-3848	102	15	1	1	NUM
ejpam-3848	102	16	λ2	λ2	NOUN
ejpam-3848	102	17	e‖	e‖	ADJ
ejpam-3848	102	18	∫	∫	PROPN
ejpam-3848	102	19	t	t	PROPN
ejpam-3848	102	20	ηk	ηk	PROPN
ejpam-3848	102	21	1×	1×	PROPN
ejpam-3848	102	22	[	[	PUNCT
ejpam-3848	102	23	−ay(s	−ay(s	NUM
ejpam-3848	102	24	)	)	PUNCT
ejpam-3848	102	25	+	+	NOUN
ejpam-3848	102	26	bf(y(s	bf(y(	VERB
ejpam-3848	102	27	)	)	PUNCT
ejpam-3848	102	28	)	)	PUNCT
ejpam-3848	103	1	+	+	VERB
ejpam-3848	103	2	df(y(ηk	df(y(ηk	NOUN
ejpam-3848	103	3	)	)	PUNCT
ejpam-3848	103	4	)	)	PUNCT
ejpam-3848	103	5	]	]	PUNCT
ejpam-3848	104	1	ds‖2	ds‖2	PROPN
ejpam-3848	104	2	z.	z.	PROPN
ejpam-3848	104	3	mingxin	mingxin	PROPN
ejpam-3848	104	4	,	,	PUNCT
ejpam-3848	104	5	x.	x.	PROPN
ejpam-3848	104	6	tao	tao	PROPN
ejpam-3848	104	7	,	,	PUNCT
ejpam-3848	104	8	s.	s.	PROPN
ejpam-3848	104	9	wenxiao	wenxiao	PROPN
ejpam-3848	104	10	/	/	SYM
ejpam-3848	104	11	eur	eur	PROPN
ejpam-3848	104	12	.	.	PUNCT
ejpam-3848	105	1	j.	j.	PROPN
ejpam-3848	105	2	pure	pure	PROPN
ejpam-3848	105	3	appl	appl	PROPN
ejpam-3848	105	4	.	.	PROPN
ejpam-3848	105	5	math	math	PROPN
ejpam-3848	105	6	,	,	PUNCT
ejpam-3848	105	7	13	13	NUM
ejpam-3848	105	8	(	(	PUNCT
ejpam-3848	105	9	4	4	NUM
ejpam-3848	105	10	)	)	PUNCT
ejpam-3848	105	11	(	(	PUNCT
ejpam-3848	105	12	2020	2020	NUM
ejpam-3848	105	13	)	)	PUNCT
ejpam-3848	105	14	,	,	PUNCT
ejpam-3848	105	15	794	794	X
ejpam-3848	105	16	-	-	SYM
ejpam-3848	105	17	806	806	NUM
ejpam-3848	105	18	798	798	NUM
ejpam-3848	105	19	+	+	SYM
ejpam-3848	105	20	1	1	NUM
ejpam-3848	105	21	λ3	λ3	PROPN
ejpam-3848	106	1	e‖	e‖	ADJ
ejpam-3848	106	2	∫	∫	PROPN
ejpam-3848	106	3	t	t	PROPN
ejpam-3848	106	4	ηk	ηk	AUX
ejpam-3848	106	5	σy(t)dω(t)‖2	σy(t)dω(t)‖2	VERB
ejpam-3848	106	6	≤	≤	NUM
ejpam-3848	106	7	1	1	NUM
ejpam-3848	106	8	λ1	λ1	NOUN
ejpam-3848	106	9	e‖y(ηk)‖2	e‖y(ηk)‖2	NOUN
ejpam-3848	106	10	+	+	CCONJ
ejpam-3848	106	11	1	1	NUM
ejpam-3848	106	12	λ2	λ2	NOUN
ejpam-3848	106	13	e‖	e‖	ADJ
ejpam-3848	106	14	∫	∫	PROPN
ejpam-3848	106	15	t	t	PROPN
ejpam-3848	106	16	ηk	ηk	X
ejpam-3848	106	17	1ds×	1ds×	NUM
ejpam-3848	106	18	∫	∫	PROPN
ejpam-3848	106	19	t	t	X
ejpam-3848	106	20	ηk	ηk	X
ejpam-3848	106	21	[	[	PUNCT
ejpam-3848	106	22	−ay(s	−ay(s	PROPN
ejpam-3848	106	23	)	)	PUNCT
ejpam-3848	106	24	+	+	NOUN
ejpam-3848	106	25	bf(y(s	bf(y(	VERB
ejpam-3848	106	26	)	)	PUNCT
ejpam-3848	106	27	)	)	PUNCT
ejpam-3848	107	1	+	+	VERB
ejpam-3848	107	2	df(y(ηk	df(y(ηk	NOUN
ejpam-3848	107	3	)	)	PUNCT
ejpam-3848	107	4	)	)	PUNCT
ejpam-3848	107	5	]	]	PUNCT
ejpam-3848	108	1	ds‖2	ds‖2	PROPN
ejpam-3848	108	2	+	+	CCONJ
ejpam-3848	108	3	1	1	NUM
ejpam-3848	108	4	λ3	λ3	PROPN
ejpam-3848	108	5	e‖	e‖	ADJ
ejpam-3848	108	6	∫	∫	PROPN
ejpam-3848	108	7	t	t	PROPN
ejpam-3848	108	8	ηk	ηk	AUX
ejpam-3848	108	9	σy(t)dω(t)‖2	σy(t)dω(t)‖2	VERB
ejpam-3848	108	10	≤	≤	NUM
ejpam-3848	108	11	1	1	NUM
ejpam-3848	108	12	λ1	λ1	NOUN
ejpam-3848	108	13	e‖y(ηk)‖2	e‖y(ηk)‖2	NOUN
ejpam-3848	108	14	+	+	CCONJ
ejpam-3848	108	15	3α	3α	NUM
ejpam-3848	108	16	λ2	λ2	NOUN
ejpam-3848	108	17	[	[	PUNCT
ejpam-3848	108	18	e	e	PROPN
ejpam-3848	108	19	∫	∫	PROPN
ejpam-3848	108	20	t	t	PROPN
ejpam-3848	108	21	ηk	ηk	X
ejpam-3848	108	22	(	(	PUNCT
ejpam-3848	108	23	‖a‖2	‖a‖2	X
ejpam-3848	108	24	+	+	CCONJ
ejpam-3848	108	25	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	108	26	)	)	PUNCT
ejpam-3848	109	1	‖y(s)‖2ds	‖y(s)‖2ds	NOUN
ejpam-3848	110	1	+	+	CCONJ
ejpam-3848	110	2	e	e	PROPN
ejpam-3848	110	3	∫	∫	PROPN
ejpam-3848	110	4	t	t	PROPN
ejpam-3848	110	5	ηk	ηk	AUX
ejpam-3848	110	6	k2‖d‖2‖y(ηk)‖2ds	k2‖d‖2‖y(ηk)‖2ds	PROPN
ejpam-3848	110	7	]	]	PUNCT
ejpam-3848	111	1	+	+	CCONJ
ejpam-3848	111	2	1	1	NUM
ejpam-3848	111	3	λ3	λ3	PROPN
ejpam-3848	111	4	e	e	PROPN
ejpam-3848	111	5	∫	∫	PROPN
ejpam-3848	111	6	t	t	PROPN
ejpam-3848	111	7	ηk	ηk	AUX
ejpam-3848	111	8	σ2‖y(s)‖2ds	σ2‖y(s)‖2ds	VERB
ejpam-3848	111	9	≤	≤	NOUN
ejpam-3848	112	1	(	(	PUNCT
ejpam-3848	112	2	1	1	NUM
ejpam-3848	112	3	λ1	λ1	ADJ
ejpam-3848	112	4	+	+	NUM
ejpam-3848	112	5	3α	3α	NUM
ejpam-3848	112	6	λ2	λ2	NOUN
ejpam-3848	112	7	k2‖d‖2)e‖y(ηk)‖2	k2‖d‖2)e‖y(ηk)‖2	NOUN
ejpam-3848	113	1	+	+	CCONJ
ejpam-3848	114	1	[	[	PUNCT
ejpam-3848	114	2	3α	3α	NUM
ejpam-3848	114	3	λ2	λ2	NOUN
ejpam-3848	114	4	(	(	PUNCT
ejpam-3848	114	5	‖a‖2	‖a‖2	PROPN
ejpam-3848	114	6	+	+	CCONJ
ejpam-3848	114	7	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	114	8	)	)	PUNCT
ejpam-3848	114	9	+	+	NUM
ejpam-3848	114	10	σ2	σ2	PROPN
ejpam-3848	114	11	λ3	λ3	PROPN
ejpam-3848	114	12	]	]	PUNCT
ejpam-3848	114	13	∫	∫	PROPN
ejpam-3848	114	14	t	t	PROPN
ejpam-3848	114	15	ηk	ηk	AUX
ejpam-3848	114	16	e‖y(s)‖2ds	e‖y(s)‖2d	VERB
ejpam-3848	114	17	.	.	PUNCT
ejpam-3848	115	1	(	(	PUNCT
ejpam-3848	115	2	8)	8)	NUM
ejpam-3848	115	3	utilizing	utilize	VERB
ejpam-3848	115	4	the	the	DET
ejpam-3848	115	5	gronwall	gronwall	ADJ
ejpam-3848	115	6	-	-	PUNCT
ejpam-3848	115	7	bellman	bellman	NOUN
ejpam-3848	115	8	inequality	inequality	NOUN
ejpam-3848	115	9	to	to	ADP
ejpam-3848	115	10	(	(	PUNCT
ejpam-3848	115	11	8)	8)	NUM
ejpam-3848	115	12	,	,	PUNCT
ejpam-3848	115	13	we	we	PRON
ejpam-3848	115	14	have	have	AUX
ejpam-3848	115	15	e‖y(t)‖2	e‖y(t)‖2	VERB
ejpam-3848	115	16	≤	≤	NOUN
ejpam-3848	115	17	(	(	PUNCT
ejpam-3848	115	18	1	1	NUM
ejpam-3848	115	19	λ1	λ1	ADJ
ejpam-3848	115	20	+	+	NUM
ejpam-3848	115	21	3α	3α	NUM
ejpam-3848	115	22	λ2	λ2	NOUN
ejpam-3848	115	23	k2‖d‖2)e‖y(ηk)‖2exp{α	k2‖d‖2)e‖y(ηk)‖2exp{α	NOUN
ejpam-3848	115	24	[	[	PUNCT
ejpam-3848	115	25	3α	3α	NUM
ejpam-3848	115	26	λ2	λ2	NOUN
ejpam-3848	115	27	(	(	PUNCT
ejpam-3848	115	28	‖a‖2	‖a‖2	PROPN
ejpam-3848	115	29	+	+	CCONJ
ejpam-3848	115	30	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	115	31	)	)	PUNCT
ejpam-3848	115	32	+	+	NUM
ejpam-3848	115	33	σ2	σ2	PROPN
ejpam-3848	115	34	λ3	λ3	PROPN
ejpam-3848	115	35	]	]	PUNCT
ejpam-3848	115	36	}	}	PUNCT
ejpam-3848	115	37	.	.	PUNCT
ejpam-3848	116	1	(	(	PUNCT
ejpam-3848	116	2	9	9	NUM
ejpam-3848	116	3	)	)	PUNCT
ejpam-3848	116	4	by	by	ADP
ejpam-3848	116	5	exchanging	exchange	VERB
ejpam-3848	116	6	the	the	DET
ejpam-3848	116	7	position	position	NOUN
ejpam-3848	116	8	of	of	ADP
ejpam-3848	116	9	y(t	y(t	PROPN
ejpam-3848	116	10	)	)	PUNCT
ejpam-3848	116	11	and	and	CCONJ
ejpam-3848	116	12	y(ηk	y(ηk	NUM
ejpam-3848	116	13	)	)	PUNCT
ejpam-3848	116	14	in	in	ADP
ejpam-3848	116	15	(	(	PUNCT
ejpam-3848	116	16	7	7	NUM
ejpam-3848	116	17	)	)	PUNCT
ejpam-3848	116	18	and	and	CCONJ
ejpam-3848	116	19	similar	similar	ADJ
ejpam-3848	116	20	deduction	deduction	NOUN
ejpam-3848	116	21	as	as	ADP
ejpam-3848	116	22	above	above	ADV
ejpam-3848	116	23	,	,	PUNCT
ejpam-3848	116	24	we	we	PRON
ejpam-3848	116	25	have	have	AUX
ejpam-3848	116	26	e‖y(ηk)‖2	e‖y(ηk)‖2	VERB
ejpam-3848	116	27	≤	≤	NUM
ejpam-3848	116	28	1	1	NUM
ejpam-3848	116	29	λ1	λ1	ADJ
ejpam-3848	116	30	e‖y(t)‖2	e‖y(t)‖2	NOUN
ejpam-3848	116	31	+	+	CCONJ
ejpam-3848	116	32	3α	3α	NUM
ejpam-3848	116	33	λ2	λ2	NOUN
ejpam-3848	116	34	k2‖d‖2e‖y(ηk)‖2	k2‖d‖2e‖y(ηk)‖2	NOUN
ejpam-3848	117	1	+	+	CCONJ
ejpam-3848	117	2	[	[	PUNCT
ejpam-3848	117	3	3α	3α	NUM
ejpam-3848	117	4	λ2	λ2	NOUN
ejpam-3848	117	5	(	(	PUNCT
ejpam-3848	117	6	‖a‖2	‖a‖2	PROPN
ejpam-3848	117	7	+	+	CCONJ
ejpam-3848	117	8	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	117	9	)	)	PUNCT
ejpam-3848	117	10	+	+	NUM
ejpam-3848	117	11	σ2	σ2	PROPN
ejpam-3848	117	12	λ3	λ3	PROPN
ejpam-3848	117	13	]	]	PUNCT
ejpam-3848	117	14	∫	∫	PROPN
ejpam-3848	117	15	t	t	PROPN
ejpam-3848	117	16	ηk	ηk	AUX
ejpam-3848	117	17	e‖y(s)‖2ds	e‖y(s)‖2d	VERB
ejpam-3848	117	18	.	.	PUNCT
ejpam-3848	118	1	(	(	PUNCT
ejpam-3848	118	2	10	10	NUM
ejpam-3848	118	3	)	)	PUNCT
ejpam-3848	118	4	substituting	substitute	VERB
ejpam-3848	118	5	(	(	PUNCT
ejpam-3848	118	6	9	9	NUM
ejpam-3848	118	7	)	)	PUNCT
ejpam-3848	118	8	into	into	ADP
ejpam-3848	118	9	(	(	PUNCT
ejpam-3848	118	10	10	10	NUM
ejpam-3848	118	11	)	)	PUNCT
ejpam-3848	118	12	we	we	PRON
ejpam-3848	118	13	have	have	AUX
ejpam-3848	118	14	e‖y(ηk)‖2	e‖y(ηk)‖2	VERB
ejpam-3848	118	15	≤	≤	NUM
ejpam-3848	118	16	1	1	NUM
ejpam-3848	118	17	λ1	λ1	ADJ
ejpam-3848	118	18	e‖y(t)‖2	e‖y(t)‖2	NOUN
ejpam-3848	118	19	+	+	CCONJ
ejpam-3848	118	20	3α	3α	NUM
ejpam-3848	118	21	λ2	λ2	NOUN
ejpam-3848	119	1	k2‖d‖2e‖y(ηk)‖2	k2‖d‖2e‖y(ηk)‖2	NOUN
ejpam-3848	119	2	+	+	CCONJ
ejpam-3848	119	3	α	α	X
ejpam-3848	119	4	[	[	PUNCT
ejpam-3848	119	5	3α	3α	NUM
ejpam-3848	119	6	λ2	λ2	NOUN
ejpam-3848	119	7	(	(	PUNCT
ejpam-3848	119	8	‖a‖2	‖a‖2	PROPN
ejpam-3848	119	9	+	+	CCONJ
ejpam-3848	119	10	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	119	11	)	)	PUNCT
ejpam-3848	119	12	+	+	NUM
ejpam-3848	119	13	σ2	σ2	PROPN
ejpam-3848	119	14	λ3	λ3	PROPN
ejpam-3848	119	15	]	]	X
ejpam-3848	119	16	(	(	PUNCT
ejpam-3848	119	17	1	1	NUM
ejpam-3848	119	18	λ1	λ1	ADJ
ejpam-3848	119	19	+	+	NUM
ejpam-3848	119	20	3α	3α	NUM
ejpam-3848	119	21	λ2	λ2	NOUN
ejpam-3848	119	22	k2‖d‖2	k2‖d‖2	NOUN
ejpam-3848	119	23	)	)	PUNCT
ejpam-3848	119	24	×	×	NOUN
ejpam-3848	119	25	exp{α	exp{α	ADP
ejpam-3848	119	26	[	[	PUNCT
ejpam-3848	119	27	3α	3α	NUM
ejpam-3848	119	28	λ2	λ2	NOUN
ejpam-3848	119	29	(	(	PUNCT
ejpam-3848	119	30	‖a‖2	‖a‖2	PROPN
ejpam-3848	119	31	+	+	CCONJ
ejpam-3848	119	32	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	119	33	)	)	PUNCT
ejpam-3848	119	34	+	+	NUM
ejpam-3848	119	35	σ2	σ2	PROPN
ejpam-3848	119	36	λ3	λ3	PROPN
ejpam-3848	119	37	]	]	PUNCT
ejpam-3848	119	38	}	}	PUNCT
ejpam-3848	119	39	e‖y(ηk)‖2	e‖y(ηk)‖2	NOUN
ejpam-3848	119	40	=	=	SYM
ejpam-3848	119	41	1	1	NUM
ejpam-3848	119	42	λ1	λ1	PROPN
ejpam-3848	119	43	e‖y(t)‖2	e‖y(t)‖2	NOUN
ejpam-3848	119	44	+	+	X
ejpam-3848	119	45	γ̄(α)e‖y(ηk)‖2	γ̄(α)e‖y(ηk)‖2	ADJ
ejpam-3848	119	46	.	.	PUNCT
ejpam-3848	120	1	(	(	PUNCT
ejpam-3848	120	2	11	11	NUM
ejpam-3848	120	3	)	)	PUNCT
ejpam-3848	120	4	by	by	ADP
ejpam-3848	120	5	using	use	VERB
ejpam-3848	120	6	assumption	assumption	NOUN
ejpam-3848	120	7	(	(	PUNCT
ejpam-3848	120	8	a2	a2	PROPN
ejpam-3848	120	9	)	)	PUNCT
ejpam-3848	120	10	,	,	PUNCT
ejpam-3848	120	11	it	it	PRON
ejpam-3848	120	12	follows	follow	VERB
ejpam-3848	120	13	that	that	SCONJ
ejpam-3848	120	14	e‖y(ηk)‖2	e‖y(ηk)‖2	VERB
ejpam-3848	120	15	≤	≤	NOUN
ejpam-3848	120	16	1	1	NUM
ejpam-3848	120	17	λ1	λ1	ADJ
ejpam-3848	120	18	(	(	PUNCT
ejpam-3848	120	19	1−	1−	NUM
ejpam-3848	120	20	γ̄(α))−1e‖y(t)‖2	γ̄(α))−1e‖y(t)‖2	ADJ
ejpam-3848	120	21	=	=	SYM
ejpam-3848	121	1	λe‖y(t)‖2	λe‖y(t)‖2	NOUN
ejpam-3848	121	2	.	.	PUNCT
ejpam-3848	122	1	for	for	ADP
ejpam-3848	122	2	t	t	PROPN
ejpam-3848	122	3	<	<	X
ejpam-3848	122	4	ηk	ηk	PROPN
ejpam-3848	122	5	,	,	PUNCT
ejpam-3848	122	6	we	we	PRON
ejpam-3848	122	7	can	can	AUX
ejpam-3848	122	8	get	get	VERB
ejpam-3848	122	9	the	the	DET
ejpam-3848	122	10	same	same	ADJ
ejpam-3848	122	11	result	result	NOUN
ejpam-3848	122	12	as	as	ADP
ejpam-3848	122	13	above	above	ADP
ejpam-3848	122	14	inequality	inequality	NOUN
ejpam-3848	122	15	.	.	PUNCT
ejpam-3848	123	1	so	so	ADV
ejpam-3848	123	2	,	,	PUNCT
ejpam-3848	123	3	(	(	PUNCT
ejpam-3848	123	4	5	5	X
ejpam-3848	123	5	)	)	PUNCT
ejpam-3848	123	6	holds	hold	VERB
ejpam-3848	123	7	for	for	ADP
ejpam-3848	123	8	any	any	DET
ejpam-3848	123	9	t	t	NOUN
ejpam-3848	123	10	∈	∈	PROPN
ejpam-3848	124	1	[	[	X
ejpam-3848	124	2	αk	αk	X
ejpam-3848	124	3	,	,	PUNCT
ejpam-3848	124	4	αk+1	αk+1	NUM
ejpam-3848	124	5	)	)	PUNCT
ejpam-3848	124	6	and	and	CCONJ
ejpam-3848	124	7	k	k	PROPN
ejpam-3848	124	8	∈	∈	PROPN
ejpam-3848	124	9	n.	n.	NOUN
ejpam-3848	124	10	the	the	DET
ejpam-3848	124	11	proof	proof	NOUN
ejpam-3848	124	12	is	be	AUX
ejpam-3848	124	13	finished	finish	VERB
ejpam-3848	124	14	.	.	PUNCT
ejpam-3848	125	1	z.	z.	PROPN
ejpam-3848	125	2	mingxin	mingxin	PROPN
ejpam-3848	125	3	,	,	PUNCT
ejpam-3848	125	4	x.	x.	PROPN
ejpam-3848	125	5	tao	tao	PROPN
ejpam-3848	125	6	,	,	PUNCT
ejpam-3848	125	7	s.	s.	PROPN
ejpam-3848	125	8	wenxiao	wenxiao	PROPN
ejpam-3848	125	9	/	/	SYM
ejpam-3848	125	10	eur	eur	PROPN
ejpam-3848	125	11	.	.	PUNCT
ejpam-3848	126	1	j.	j.	PROPN
ejpam-3848	126	2	pure	pure	PROPN
ejpam-3848	126	3	appl	appl	PROPN
ejpam-3848	126	4	.	.	PROPN
ejpam-3848	126	5	math	math	PROPN
ejpam-3848	126	6	,	,	PUNCT
ejpam-3848	126	7	13	13	NUM
ejpam-3848	126	8	(	(	PUNCT
ejpam-3848	126	9	4	4	NUM
ejpam-3848	126	10	)	)	PUNCT
ejpam-3848	126	11	(	(	PUNCT
ejpam-3848	126	12	2020	2020	NUM
ejpam-3848	126	13	)	)	PUNCT
ejpam-3848	126	14	,	,	PUNCT
ejpam-3848	126	15	794	794	X
ejpam-3848	126	16	-	-	SYM
ejpam-3848	126	17	806	806	NUM
ejpam-3848	126	18	799	799	NUM
ejpam-3848	126	19	remark	remark	NOUN
ejpam-3848	126	20	2	2	NUM
ejpam-3848	126	21	.	.	PUNCT
ejpam-3848	127	1	the	the	DET
ejpam-3848	127	2	inequality	inequality	NOUN
ejpam-3848	127	3	(	(	PUNCT
ejpam-3848	127	4	12	12	NUM
ejpam-3848	127	5	)	)	PUNCT
ejpam-3848	127	6	in	in	ADP
ejpam-3848	127	7	lemma	lemma	PROPN
ejpam-3848	127	8	3	3	NUM
ejpam-3848	127	9	tells	tell	VERB
ejpam-3848	127	10	the	the	DET
ejpam-3848	127	11	relationship	relationship	NOUN
ejpam-3848	127	12	between	between	ADP
ejpam-3848	127	13	the	the	DET
ejpam-3848	127	14	norm	norm	NOUN
ejpam-3848	127	15	‖y(ξi)‖	‖y(ξi)‖	PROPN
ejpam-3848	128	1	and	and	CCONJ
ejpam-3848	128	2	‖y(t)‖.	‖y(t)‖.	NOUN
ejpam-3848	128	3	it	it	PRON
ejpam-3848	128	4	brings	bring	VERB
ejpam-3848	128	5	convenience	convenience	NOUN
ejpam-3848	128	6	for	for	ADP
ejpam-3848	128	7	the	the	DET
ejpam-3848	128	8	study	study	NOUN
ejpam-3848	128	9	of	of	ADP
ejpam-3848	128	10	the	the	DET
ejpam-3848	128	11	recurrent	recurrent	ADJ
ejpam-3848	128	12	neural	neural	ADJ
ejpam-3848	128	13	network	network	NOUN
ejpam-3848	128	14	system	system	NOUN
ejpam-3848	128	15	(	(	PUNCT
ejpam-3848	128	16	1	1	NUM
ejpam-3848	128	17	)	)	PUNCT
ejpam-3848	128	18	.	.	PUNCT
ejpam-3848	129	1	3	3	X
ejpam-3848	129	2	.	.	X
ejpam-3848	129	3	main	main	ADJ
ejpam-3848	129	4	results	result	NOUN
ejpam-3848	129	5	in	in	ADP
ejpam-3848	129	6	this	this	DET
ejpam-3848	129	7	section	section	NOUN
ejpam-3848	129	8	,	,	PUNCT
ejpam-3848	129	9	we	we	PRON
ejpam-3848	129	10	will	will	AUX
ejpam-3848	129	11	quantitatively	quantitatively	ADV
ejpam-3848	129	12	analyze	analyze	VERB
ejpam-3848	129	13	the	the	DET
ejpam-3848	129	14	influence	influence	NOUN
ejpam-3848	129	15	of	of	ADP
ejpam-3848	129	16	the	the	DET
ejpam-3848	129	17	deviation	deviation	NOUN
ejpam-3848	129	18	function	function	NOUN
ejpam-3848	129	19	and	and	CCONJ
ejpam-3848	129	20	random	random	ADJ
ejpam-3848	129	21	disturbance	disturbance	NOUN
ejpam-3848	129	22	on	on	ADP
ejpam-3848	129	23	the	the	DET
ejpam-3848	129	24	global	global	ADJ
ejpam-3848	129	25	exponential	exponential	ADJ
ejpam-3848	129	26	stability	stability	NOUN
ejpam-3848	129	27	of	of	ADP
ejpam-3848	129	28	recurrent	recurrent	ADJ
ejpam-3848	129	29	neural	neural	ADJ
ejpam-3848	129	30	network	network	NOUN
ejpam-3848	129	31	system	system	NOUN
ejpam-3848	129	32	(	(	PUNCT
ejpam-3848	129	33	1	1	NUM
ejpam-3848	129	34	)	)	PUNCT
ejpam-3848	129	35	.	.	PUNCT
ejpam-3848	130	1	theorem	theorem	NOUN
ejpam-3848	130	2	1	1	NUM
ejpam-3848	130	3	.	.	PUNCT
ejpam-3848	131	1	let	let	VERB
ejpam-3848	131	2	assumptions	assumption	NOUN
ejpam-3848	131	3	(	(	PUNCT
ejpam-3848	131	4	a1	a1	NOUN
ejpam-3848	131	5	)	)	PUNCT
ejpam-3848	131	6	and	and	CCONJ
ejpam-3848	131	7	(	(	PUNCT
ejpam-3848	131	8	a2	a2	NOUN
ejpam-3848	131	9	)	)	PUNCT
ejpam-3848	131	10	hold	hold	VERB
ejpam-3848	131	11	,	,	PUNCT
ejpam-3848	131	12	and	and	CCONJ
ejpam-3848	131	13	assume	assume	VERB
ejpam-3848	131	14	that	that	SCONJ
ejpam-3848	131	15	(	(	PUNCT
ejpam-3848	131	16	2	2	X
ejpam-3848	131	17	)	)	PUNCT
ejpam-3848	131	18	is	be	AUX
ejpam-3848	131	19	globally	globally	ADV
ejpam-3848	131	20	exponentially	exponentially	ADV
ejpam-3848	131	21	stable	stable	ADJ
ejpam-3848	131	22	.	.	PUNCT
ejpam-3848	132	1	then	then	ADV
ejpam-3848	132	2	(	(	PUNCT
ejpam-3848	132	3	1	1	X
ejpam-3848	132	4	)	)	PUNCT
ejpam-3848	132	5	is	be	AUX
ejpam-3848	132	6	mean	mean	ADJ
ejpam-3848	132	7	square	square	NOUN
ejpam-3848	132	8	globally	globally	ADV
ejpam-3848	132	9	exponentially	exponentially	ADV
ejpam-3848	132	10	stable	stable	ADJ
ejpam-3848	132	11	,	,	PUNCT
ejpam-3848	132	12	which	which	PRON
ejpam-3848	132	13	implies	imply	VERB
ejpam-3848	132	14	(	(	PUNCT
ejpam-3848	132	15	1	1	X
ejpam-3848	132	16	)	)	PUNCT
ejpam-3848	132	17	is	be	AUX
ejpam-3848	132	18	almost	almost	ADV
ejpam-3848	132	19	surely	surely	ADV
ejpam-3848	132	20	exponentially	exponentially	ADV
ejpam-3848	132	21	stable	stable	ADJ
ejpam-3848	132	22	,	,	PUNCT
ejpam-3848	133	1	if	if	SCONJ
ejpam-3848	133	2	|σ|	|σ|	PROPN
ejpam-3848	133	3	<	<	X
ejpam-3848	133	4	σ̄√	σ̄√	PROPN
ejpam-3848	133	5	2	2	NUM
ejpam-3848	133	6	and	and	CCONJ
ejpam-3848	133	7	α	α	NOUN
ejpam-3848	133	8	<	<	X
ejpam-3848	133	9	min(ρ2	min(ρ2	NOUN
ejpam-3848	133	10	,	,	PUNCT
ejpam-3848	133	11	ᾱ	ᾱ	NOUN
ejpam-3848	133	12	)	)	PUNCT
ejpam-3848	133	13	,	,	PUNCT
ejpam-3848	133	14	where	where	SCONJ
ejpam-3848	133	15	σ̄	σ̄	PRON
ejpam-3848	133	16	is	be	AUX
ejpam-3848	133	17	the	the	DET
ejpam-3848	133	18	unique	unique	ADJ
ejpam-3848	133	19	solution	solution	NOUN
ejpam-3848	133	20	σ̂	σ̂	X
ejpam-3848	133	21	in	in	ADP
ejpam-3848	133	22	the	the	DET
ejpam-3848	133	23	following	follow	VERB
ejpam-3848	133	24	transcendental	transcendental	ADJ
ejpam-3848	133	25	equation	equation	NOUN
ejpam-3848	133	26	2vexp{−uρ}+	2vexp{−uρ}+	PRON
ejpam-3848	133	27	8ρv	8ρv	NOUN
ejpam-3848	133	28	u	u	NOUN
ejpam-3848	133	29	(	(	PUNCT
ejpam-3848	133	30	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	133	31	λ̄3	λ̄3	X
ejpam-3848	133	32	(	(	PUNCT
ejpam-3848	133	33	1	1	NUM
ejpam-3848	133	34	+	+	SYM
ejpam-3848	133	35	1	1	NUM
ejpam-3848	133	36	λ1	λ1	ADJ
ejpam-3848	133	37	)	)	PUNCT
ejpam-3848	134	1	+	+	CCONJ
ejpam-3848	134	2	σ̂2	σ̂2	NOUN
ejpam-3848	134	3	λ̄4	λ̄4	X
ejpam-3848	134	4	)	)	PUNCT
ejpam-3848	134	5	exp{2ρc0	exp{2ρc0	NUM
ejpam-3848	134	6	}	}	PUNCT
ejpam-3848	134	7	=	=	SYM
ejpam-3848	134	8	1	1	NUM
ejpam-3848	134	9	(	(	PUNCT
ejpam-3848	134	10	12	12	NUM
ejpam-3848	134	11	)	)	PUNCT
ejpam-3848	134	12	and	and	CCONJ
ejpam-3848	134	13	the	the	DET
ejpam-3848	134	14	interval	interval	NOUN
ejpam-3848	134	15	length	length	NOUN
ejpam-3848	134	16	ᾱ	ᾱ	NOUN
ejpam-3848	134	17	is	be	AUX
ejpam-3848	134	18	a	a	DET
ejpam-3848	134	19	unique	unique	ADJ
ejpam-3848	134	20	solution	solution	NOUN
ejpam-3848	134	21	α̂	α̂	X
ejpam-3848	134	22	respect	respect	NOUN
ejpam-3848	134	23	to	to	ADP
ejpam-3848	134	24	the	the	DET
ejpam-3848	134	25	equation	equation	NOUN
ejpam-3848	134	26	(	(	PUNCT
ejpam-3848	134	27	13	13	NUM
ejpam-3848	134	28	)	)	PUNCT
ejpam-3848	134	29	2vexp	2vexp	NUM
ejpam-3848	134	30	{	{	PUNCT
ejpam-3848	134	31	−	−	NOUN
ejpam-3848	134	32	u(ρ−	u(ρ−	ADJ
ejpam-3848	134	33	α̂	α̂	NOUN
ejpam-3848	134	34	)	)	PUNCT
ejpam-3848	134	35	}	}	PUNCT
ejpam-3848	135	1	+	+	NUM
ejpam-3848	135	2	8ρv	8ρv	NOUN
ejpam-3848	135	3	u	u	NOUN
ejpam-3848	135	4	(	(	PUNCT
ejpam-3848	135	5	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	135	6	λ̄3	λ̄3	X
ejpam-3848	135	7	(	(	PUNCT
ejpam-3848	135	8	1	1	NUM
ejpam-3848	135	9	+	+	NUM
ejpam-3848	135	10	λ	λ	NOUN
ejpam-3848	135	11	)	)	PUNCT
ejpam-3848	135	12	+	+	CCONJ
ejpam-3848	135	13	σ̂2	σ̂2	NOUN
ejpam-3848	135	14	λ̄4	λ̄4	X
ejpam-3848	135	15	)	)	PUNCT
ejpam-3848	135	16	exp{2ρc1	exp{2ρc1	X
ejpam-3848	135	17	}	}	PUNCT
ejpam-3848	135	18	=	=	SYM
ejpam-3848	135	19	1	1	NUM
ejpam-3848	135	20	(	(	PUNCT
ejpam-3848	135	21	13	13	NUM
ejpam-3848	135	22	)	)	PUNCT
ejpam-3848	135	23	where	where	SCONJ
ejpam-3848	135	24	c0	c0	NOUN
ejpam-3848	135	25	=	=	PROPN
ejpam-3848	135	26	2ρ	2ρ	NOUN
ejpam-3848	135	27	(	(	PUNCT
ejpam-3848	135	28	‖a‖2	‖a‖2	PROPN
ejpam-3848	135	29	λ̄1	λ̄1	X
ejpam-3848	135	30	+	+	CCONJ
ejpam-3848	135	31	k2‖b‖2	k2‖b‖2	VERB
ejpam-3848	135	32	λ̄2	λ̄2	SYM
ejpam-3848	135	33	+	+	NUM
ejpam-3848	135	34	2k2‖d‖2	2k2‖d‖2	NUM
ejpam-3848	135	35	λ̄3	λ̄3	X
ejpam-3848	135	36	)	)	PUNCT
ejpam-3848	136	1	+	+	CCONJ
ejpam-3848	136	2	2	2	NUM
ejpam-3848	136	3	(	(	PUNCT
ejpam-3848	136	4	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	136	5	λ̄3	λ̄3	X
ejpam-3848	136	6	(	(	PUNCT
ejpam-3848	136	7	1	1	NUM
ejpam-3848	136	8	+	+	SYM
ejpam-3848	136	9	1	1	NUM
ejpam-3848	136	10	λ1	λ1	ADJ
ejpam-3848	136	11	)	)	PUNCT
ejpam-3848	137	1	+	+	CCONJ
ejpam-3848	137	2	σ̂2	σ̂2	NOUN
ejpam-3848	137	3	λ̄4	λ̄4	NOUN
ejpam-3848	137	4	)	)	PUNCT
ejpam-3848	137	5	c1	c1	NOUN
ejpam-3848	137	6	=	=	PROPN
ejpam-3848	137	7	2ρ	2ρ	NOUN
ejpam-3848	137	8	(	(	PUNCT
ejpam-3848	137	9	‖a‖2	‖a‖2	PROPN
ejpam-3848	137	10	λ̄1	λ̄1	X
ejpam-3848	137	11	+	+	CCONJ
ejpam-3848	137	12	k2‖b‖2	k2‖b‖2	VERB
ejpam-3848	137	13	λ̄2	λ̄2	SYM
ejpam-3848	137	14	+	+	NUM
ejpam-3848	137	15	2k2‖d‖2	2k2‖d‖2	NUM
ejpam-3848	137	16	λ̄3	λ̄3	X
ejpam-3848	137	17	)	)	PUNCT
ejpam-3848	138	1	+	+	CCONJ
ejpam-3848	138	2	2	2	NUM
ejpam-3848	138	3	(	(	PUNCT
ejpam-3848	138	4	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	138	5	λ̄3	λ̄3	X
ejpam-3848	138	6	(	(	PUNCT
ejpam-3848	138	7	1	1	NUM
ejpam-3848	138	8	+	+	NUM
ejpam-3848	138	9	λ	λ	NOUN
ejpam-3848	138	10	)	)	PUNCT
ejpam-3848	139	1	+	+	CCONJ
ejpam-3848	139	2	σ̂2	σ̂2	NOUN
ejpam-3848	139	3	λ̄4	λ̄4	NOUN
ejpam-3848	139	4	)	)	PUNCT
ejpam-3848	139	5	and	and	CCONJ
ejpam-3848	139	6	λ	λ	X
ejpam-3848	139	7	=	=	SYM
ejpam-3848	140	1	λ−1	λ−1	PROPN
ejpam-3848	140	2	1	1	NUM
ejpam-3848	140	3	(	(	PUNCT
ejpam-3848	140	4	1−	1−	NUM
ejpam-3848	140	5	γ̂)−1	γ̂)−1	NOUN
ejpam-3848	140	6	,	,	PUNCT
ejpam-3848	140	7	γ̂	γ̂	X
ejpam-3848	140	8	=	=	SYM
ejpam-3848	140	9	γ̄(α̂	γ̄(α̂	NOUN
ejpam-3848	140	10	)	)	PUNCT
ejpam-3848	140	11	,	,	PUNCT
ejpam-3848	140	12	ρ	ρ	PROPN
ejpam-3848	140	13	>	>	X
ejpam-3848	140	14	ln(v	ln(v	PROPN
ejpam-3848	140	15	)	)	PUNCT
ejpam-3848	140	16	u	u	NOUN
ejpam-3848	140	17	>	>	X
ejpam-3848	140	18	0	0	X
ejpam-3848	140	19	.	.	PUNCT
ejpam-3848	141	1	proof	proof	NOUN
ejpam-3848	141	2	.	.	PUNCT
ejpam-3848	142	1	denote	denote	VERB
ejpam-3848	142	2	by	by	ADP
ejpam-3848	142	3	x(t	x(t	PROPN
ejpam-3848	142	4	;	;	PUNCT
ejpam-3848	142	5	t0	t0	PROPN
ejpam-3848	142	6	,	,	PUNCT
ejpam-3848	142	7	x0	x0	PROPN
ejpam-3848	142	8	)	)	PUNCT
ejpam-3848	142	9	≡	≡	PROPN
ejpam-3848	142	10	x(t	x(t	PROPN
ejpam-3848	142	11	)	)	PUNCT
ejpam-3848	142	12	and	and	CCONJ
ejpam-3848	142	13	y(t	y(t	PROPN
ejpam-3848	142	14	;	;	PUNCT
ejpam-3848	142	15	t0	t0	PROPN
ejpam-3848	142	16	,	,	PUNCT
ejpam-3848	142	17	x0	x0	PROPN
ejpam-3848	142	18	)	)	PUNCT
ejpam-3848	142	19	≡	≡	PROPN
ejpam-3848	142	20	y(t	y(t	PROPN
ejpam-3848	142	21	)	)	PUNCT
ejpam-3848	142	22	the	the	DET
ejpam-3848	142	23	state	state	NOUN
ejpam-3848	142	24	of	of	ADP
ejpam-3848	142	25	(	(	PUNCT
ejpam-3848	142	26	2	2	NUM
ejpam-3848	142	27	)	)	PUNCT
ejpam-3848	142	28	and	and	CCONJ
ejpam-3848	142	29	(	(	PUNCT
ejpam-3848	142	30	1	1	X
ejpam-3848	142	31	)	)	PUNCT
ejpam-3848	142	32	respectively	respectively	ADV
ejpam-3848	142	33	.	.	PUNCT
ejpam-3848	143	1	for	for	ADP
ejpam-3848	143	2	t0	t0	PROPN
ejpam-3848	143	3	≤	≤	PROPN
ejpam-3848	143	4	t	t	PROPN
ejpam-3848	143	5	≤	≤	NUM
ejpam-3848	143	6	t0	t0	PROPN
ejpam-3848	143	7	+	+	CCONJ
ejpam-3848	143	8	2ρ	2ρ	NOUN
ejpam-3848	143	9	,	,	PUNCT
ejpam-3848	143	10	from	from	ADP
ejpam-3848	143	11	(	(	PUNCT
ejpam-3848	143	12	1	1	NUM
ejpam-3848	143	13	)	)	PUNCT
ejpam-3848	143	14	,	,	PUNCT
ejpam-3848	143	15	we	we	PRON
ejpam-3848	143	16	have	have	VERB
ejpam-3848	143	17	e‖y(t)−	e‖y(t)−	PROPN
ejpam-3848	143	18	x(t)‖2	x(t)‖2	PUNCT
ejpam-3848	144	1	=	=	SYM
ejpam-3848	144	2	e‖	e‖	ADJ
ejpam-3848	144	3	∫	∫	PROPN
ejpam-3848	144	4	t	t	PROPN
ejpam-3848	144	5	t0	t0	PROPN
ejpam-3848	144	6	−a(y(s)−	−a(y(s)−	ADP
ejpam-3848	144	7	x(s	x(s	PROPN
ejpam-3848	144	8	)	)	PUNCT
ejpam-3848	144	9	)	)	PUNCT
ejpam-3848	145	1	+	+	ADP
ejpam-3848	145	2	b(f(y(s))−	b(f(y(s))−	PROPN
ejpam-3848	145	3	f(x(s	f(x(s	PROPN
ejpam-3848	145	4	)	)	PUNCT
ejpam-3848	145	5	)	)	PUNCT
ejpam-3848	145	6	)	)	PUNCT
ejpam-3848	146	1	+	+	PUNCT
ejpam-3848	146	2	d[f(y(β(t)))−	d[f(y(β(t)))−	NUM
ejpam-3848	146	3	f(x(s))]ds+	f(x(s))]ds+	ADJ
ejpam-3848	146	4	∫	∫	NOUN
ejpam-3848	146	5	t	t	PROPN
ejpam-3848	146	6	t0	t0	PROPN
ejpam-3848	146	7	σy(s)dω(s)‖2	σy(s)dω(s)‖2	PROPN
ejpam-3848	146	8	.	.	PUNCT
ejpam-3848	147	1	(	(	PUNCT
ejpam-3848	147	2	14	14	NUM
ejpam-3848	147	3	)	)	PUNCT
ejpam-3848	147	4	let	let	VERB
ejpam-3848	147	5	n	n	NOUN
ejpam-3848	147	6	=	=	SYM
ejpam-3848	147	7	4	4	NUM
ejpam-3848	147	8	in	in	ADP
ejpam-3848	147	9	lemma	lemma	PROPN
ejpam-3848	147	10	2	2	NUM
ejpam-3848	147	11	,	,	PUNCT
ejpam-3848	147	12	we	we	PRON
ejpam-3848	147	13	get	get	VERB
ejpam-3848	147	14	(	(	PUNCT
ejpam-3848	147	15	x1	x1	PROPN
ejpam-3848	147	16	+	+	NUM
ejpam-3848	147	17	x2	x2	PROPN
ejpam-3848	148	1	+	+	CCONJ
ejpam-3848	148	2	x3	x3	ADJ
ejpam-3848	148	3	+	+	CCONJ
ejpam-3848	148	4	x4)2	x4)2	PUNCT
ejpam-3848	148	5	≤	≤	NUM
ejpam-3848	149	1	x2	x2	ADV
ejpam-3848	149	2	1	1	NUM
ejpam-3848	149	3	λ̄1	λ̄1	NOUN
ejpam-3848	150	1	+	+	CCONJ
ejpam-3848	150	2	x2	x2	PROPN
ejpam-3848	150	3	2	2	NUM
ejpam-3848	150	4	λ̄2	λ̄2	NOUN
ejpam-3848	150	5	+	+	CCONJ
ejpam-3848	150	6	x2	x2	NOUN
ejpam-3848	150	7	3	3	NUM
ejpam-3848	150	8	λ̄3	λ̄3	NOUN
ejpam-3848	150	9	+	+	CCONJ
ejpam-3848	150	10	x2	x2	SYM
ejpam-3848	150	11	4	4	NUM
ejpam-3848	150	12	λ̄4	λ̄4	NOUN
ejpam-3848	150	13	,	,	PUNCT
ejpam-3848	150	14	z.	z.	PROPN
ejpam-3848	150	15	mingxin	mingxin	PROPN
ejpam-3848	150	16	,	,	PUNCT
ejpam-3848	150	17	x.	x.	PROPN
ejpam-3848	150	18	tao	tao	PROPN
ejpam-3848	150	19	,	,	PUNCT
ejpam-3848	150	20	s.	s.	PROPN
ejpam-3848	150	21	wenxiao	wenxiao	PROPN
ejpam-3848	150	22	/	/	SYM
ejpam-3848	150	23	eur	eur	PROPN
ejpam-3848	150	24	.	.	PUNCT
ejpam-3848	151	1	j.	j.	PROPN
ejpam-3848	151	2	pure	pure	PROPN
ejpam-3848	151	3	appl	appl	PROPN
ejpam-3848	151	4	.	.	PROPN
ejpam-3848	151	5	math	math	PROPN
ejpam-3848	151	6	,	,	PUNCT
ejpam-3848	151	7	13	13	NUM
ejpam-3848	151	8	(	(	PUNCT
ejpam-3848	151	9	4	4	NUM
ejpam-3848	151	10	)	)	PUNCT
ejpam-3848	151	11	(	(	PUNCT
ejpam-3848	151	12	2020	2020	NUM
ejpam-3848	151	13	)	)	PUNCT
ejpam-3848	151	14	,	,	PUNCT
ejpam-3848	151	15	794	794	X
ejpam-3848	151	16	-	-	SYM
ejpam-3848	151	17	806	806	NUM
ejpam-3848	151	18	800	800	NUM
ejpam-3848	151	19	where	where	SCONJ
ejpam-3848	151	20	λ̄i	λ̄i	NOUN
ejpam-3848	151	21	∈	∈	PROPN
ejpam-3848	151	22	(	(	PUNCT
ejpam-3848	151	23	0	0	NUM
ejpam-3848	151	24	,	,	PUNCT
ejpam-3848	151	25	1	1	NUM
ejpam-3848	151	26	)	)	PUNCT
ejpam-3848	151	27	and	and	CCONJ
ejpam-3848	151	28	∑4	∑4	PROPN
ejpam-3848	151	29	i=1	i=1	PROPN
ejpam-3848	152	1	λ̄i	λ̄i	X
ejpam-3848	152	2	=	=	SYM
ejpam-3848	152	3	1	1	X
ejpam-3848	152	4	.	.	PUNCT
ejpam-3848	152	5	applying	apply	VERB
ejpam-3848	152	6	the	the	DET
ejpam-3848	152	7	above	above	ADJ
ejpam-3848	152	8	inequality	inequality	NOUN
ejpam-3848	152	9	,	,	PUNCT
ejpam-3848	152	10	cauchy	cauchy	NOUN
ejpam-3848	152	11	-	-	PUNCT
ejpam-3848	152	12	schwarz	schwarz	PROPN
ejpam-3848	152	13	inequality	inequality	NOUN
ejpam-3848	152	14	and	and	CCONJ
ejpam-3848	152	15	assumption	assumption	NOUN
ejpam-3848	152	16	(	(	PUNCT
ejpam-3848	152	17	a1	a1	NOUN
ejpam-3848	152	18	)	)	PUNCT
ejpam-3848	152	19	on	on	ADP
ejpam-3848	152	20	(	(	PUNCT
ejpam-3848	152	21	14	14	NUM
ejpam-3848	152	22	)	)	PUNCT
ejpam-3848	152	23	and	and	CCONJ
ejpam-3848	152	24	together	together	ADV
ejpam-3848	152	25	with	with	ADP
ejpam-3848	152	26	the	the	DET
ejpam-3848	152	27	properties	property	NOUN
ejpam-3848	152	28	of	of	ADP
ejpam-3848	152	29	e	e	NOUN
ejpam-3848	152	30	(	(	PUNCT
ejpam-3848	152	31	·	·	PUNCT
ejpam-3848	152	32	)	)	PUNCT
ejpam-3848	152	33	,	,	PUNCT
ejpam-3848	152	34	we	we	PRON
ejpam-3848	152	35	have	have	VERB
ejpam-3848	152	36	e‖y(t)−	e‖y(t)−	PROPN
ejpam-3848	152	37	x(t)‖2	x(t)‖2	PROPN
ejpam-3848	153	1	≤	≤	ADV
ejpam-3848	153	2	1	1	NUM
ejpam-3848	153	3	λ̄1	λ̄1	X
ejpam-3848	153	4	e‖	e‖	ADJ
ejpam-3848	153	5	∫	∫	PROPN
ejpam-3848	153	6	t	t	PROPN
ejpam-3848	153	7	t0	t0	PROPN
ejpam-3848	153	8	−a(y(s)−	−a(y(s)−	ADP
ejpam-3848	153	9	x(s))ds‖2	x(s))ds‖2	PROPN
ejpam-3848	154	1	+	+	CCONJ
ejpam-3848	154	2	1	1	NUM
ejpam-3848	154	3	λ̄2	λ̄2	CCONJ
ejpam-3848	154	4	e‖	e‖	ADJ
ejpam-3848	154	5	∫	∫	PROPN
ejpam-3848	154	6	t	t	PROPN
ejpam-3848	154	7	t0	t0	PROPN
ejpam-3848	154	8	b(f(y(s))−	b(f(y(s))−	ADP
ejpam-3848	154	9	f(x(s)))ds‖2	f(x(s)))ds‖2	ADJ
ejpam-3848	154	10	+	+	CCONJ
ejpam-3848	154	11	1	1	NUM
ejpam-3848	154	12	λ̄3	λ̄3	NUM
ejpam-3848	154	13	e‖	e‖	ADJ
ejpam-3848	154	14	∫	∫	PROPN
ejpam-3848	154	15	t	t	PROPN
ejpam-3848	154	16	t0	t0	PROPN
ejpam-3848	155	1	d[f(y(β(s)))−	d[f(y(β(s)))−	PROPN
ejpam-3848	155	2	f(x(s))]ds‖2	f(x(s))]ds‖2	PROPN
ejpam-3848	155	3	+	+	CCONJ
ejpam-3848	155	4	1	1	NUM
ejpam-3848	155	5	λ̄4	λ̄4	NOUN
ejpam-3848	155	6	e‖	e‖	ADJ
ejpam-3848	155	7	∫	∫	PROPN
ejpam-3848	155	8	t	t	PROPN
ejpam-3848	155	9	t0	t0	PROPN
ejpam-3848	155	10	σy(s)dω(s)‖2	σy(s)dω(s)‖2	VERB
ejpam-3848	155	11	≤	≤	ADJ
ejpam-3848	155	12	2ρ	2ρ	NOUN
ejpam-3848	156	1	[	[	X
ejpam-3848	156	2	(	(	PUNCT
ejpam-3848	156	3	‖a‖2	‖a‖2	PROPN
ejpam-3848	156	4	λ̄1	λ̄1	X
ejpam-3848	156	5	+	+	CCONJ
ejpam-3848	156	6	k2‖b‖2	k2‖b‖2	PROPN
ejpam-3848	156	7	λ̄2	λ̄2	NUM
ejpam-3848	156	8	)	)	PUNCT
ejpam-3848	156	9	∫	∫	PROPN
ejpam-3848	156	10	t	t	PROPN
ejpam-3848	156	11	t0	t0	PROPN
ejpam-3848	156	12	e‖y(s)−	e‖y(s)−	VERB
ejpam-3848	156	13	x(s)‖2ds	x(s)‖2ds	PUNCT
ejpam-3848	157	1	+	+	CCONJ
ejpam-3848	157	2	k2‖d‖2	k2‖d‖2	NOUN
ejpam-3848	157	3	λ̄3	λ̄3	X
ejpam-3848	157	4	∫	∫	PROPN
ejpam-3848	157	5	t	t	PROPN
ejpam-3848	157	6	t0	t0	PROPN
ejpam-3848	157	7	e‖y(β(s))−	e‖y(β(s))−	NUM
ejpam-3848	157	8	x(s)‖2ds	x(s)‖2ds	NOUN
ejpam-3848	157	9	]	]	X
ejpam-3848	158	1	+	+	CCONJ
ejpam-3848	158	2	σ2	σ2	NOUN
ejpam-3848	158	3	λ̄4	λ̄4	X
ejpam-3848	158	4	∫	∫	PROPN
ejpam-3848	158	5	t	t	PROPN
ejpam-3848	158	6	t0	t0	PROPN
ejpam-3848	158	7	e‖y(s)‖2ds	e‖y(s)‖2d	VERB
ejpam-3848	158	8	≤	≤	ADJ
ejpam-3848	158	9	2ρ	2ρ	NOUN
ejpam-3848	159	1	[	[	X
ejpam-3848	159	2	(	(	PUNCT
ejpam-3848	159	3	‖a‖2	‖a‖2	PROPN
ejpam-3848	159	4	λ̄1	λ̄1	X
ejpam-3848	159	5	+	+	CCONJ
ejpam-3848	159	6	k2‖b‖2	k2‖b‖2	VERB
ejpam-3848	159	7	λ̄2	λ̄2	SYM
ejpam-3848	159	8	+	+	NUM
ejpam-3848	159	9	2k2‖d‖2	2k2‖d‖2	NUM
ejpam-3848	159	10	λ̄3	λ̄3	NUM
ejpam-3848	159	11	)	)	PUNCT
ejpam-3848	159	12	∫	∫	PROPN
ejpam-3848	159	13	t	t	PROPN
ejpam-3848	159	14	t0	t0	PROPN
ejpam-3848	159	15	e‖y(s)−	e‖y(s)−	VERB
ejpam-3848	159	16	x(s)‖2ds	x(s)‖2ds	PUNCT
ejpam-3848	160	1	+	+	CCONJ
ejpam-3848	160	2	4k2‖d‖2	4k2‖d‖2	NUM
ejpam-3848	160	3	λ̄3	λ̄3	X
ejpam-3848	160	4	∫	∫	PROPN
ejpam-3848	160	5	t	t	PROPN
ejpam-3848	160	6	t0	t0	PROPN
ejpam-3848	160	7	e‖y(β(s))‖2ds	e‖y(β(s))‖2ds	VERB
ejpam-3848	160	8	]	]	PUNCT
ejpam-3848	161	1	+	+	CCONJ
ejpam-3848	161	2	(	(	PUNCT
ejpam-3848	161	3	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	161	4	λ̄3	λ̄3	X
ejpam-3848	161	5	+	+	CCONJ
ejpam-3848	161	6	σ2	σ2	NOUN
ejpam-3848	161	7	λ̄4	λ̄4	NOUN
ejpam-3848	161	8	)	)	PUNCT
ejpam-3848	161	9	∫	∫	PROPN
ejpam-3848	161	10	t	t	PROPN
ejpam-3848	161	11	t0	t0	PROPN
ejpam-3848	161	12	e‖y(s)‖2ds	e‖y(s)‖2ds	NOUN
ejpam-3848	161	13	(	(	PUNCT
ejpam-3848	161	14	15	15	NUM
ejpam-3848	161	15	)	)	PUNCT
ejpam-3848	161	16	from	from	ADP
ejpam-3848	161	17	the	the	DET
ejpam-3848	161	18	inequality	inequality	NOUN
ejpam-3848	161	19	(	(	PUNCT
ejpam-3848	161	20	5	5	NUM
ejpam-3848	161	21	)	)	PUNCT
ejpam-3848	161	22	in	in	ADP
ejpam-3848	161	23	lemma	lemma	PROPN
ejpam-3848	161	24	3	3	NUM
ejpam-3848	161	25	,	,	PUNCT
ejpam-3848	161	26	we	we	PRON
ejpam-3848	161	27	have	have	VERB
ejpam-3848	161	28	e‖y(β(t))‖2	e‖y(β(t))‖2	ADJ
ejpam-3848	161	29	≤	≤	NUM
ejpam-3848	161	30	λe‖y(t)‖2	λe‖y(t)‖2	NOUN
ejpam-3848	161	31	,	,	PUNCT
ejpam-3848	161	32	where	where	SCONJ
ejpam-3848	161	33	λ	λ	PROPN
ejpam-3848	161	34	is	be	AUX
ejpam-3848	161	35	given	give	VERB
ejpam-3848	161	36	by	by	ADP
ejpam-3848	161	37	(	(	PUNCT
ejpam-3848	161	38	6	6	NUM
ejpam-3848	161	39	)	)	PUNCT
ejpam-3848	161	40	.	.	PUNCT
ejpam-3848	162	1	substituting	substitute	VERB
ejpam-3848	162	2	above	above	ADP
ejpam-3848	162	3	inequality	inequality	NOUN
ejpam-3848	162	4	into	into	ADP
ejpam-3848	162	5	(	(	PUNCT
ejpam-3848	162	6	15	15	NUM
ejpam-3848	162	7	)	)	PUNCT
ejpam-3848	162	8	,	,	PUNCT
ejpam-3848	162	9	we	we	PRON
ejpam-3848	162	10	have	have	VERB
ejpam-3848	162	11	e‖y(t)−	e‖y(t)−	PROPN
ejpam-3848	162	12	x(t)‖2	x(t)‖2	PROPN
ejpam-3848	163	1	≤	≤	ADJ
ejpam-3848	163	2	2ρ	2ρ	NOUN
ejpam-3848	163	3	(	(	PUNCT
ejpam-3848	163	4	‖a‖2	‖a‖2	PROPN
ejpam-3848	163	5	λ̄1	λ̄1	X
ejpam-3848	164	1	+	+	CCONJ
ejpam-3848	164	2	k2‖b‖2	k2‖b‖2	VERB
ejpam-3848	164	3	λ̄2	λ̄2	SYM
ejpam-3848	164	4	+	+	NUM
ejpam-3848	164	5	2k2‖d‖2	2k2‖d‖2	NUM
ejpam-3848	164	6	λ̄3	λ̄3	NUM
ejpam-3848	164	7	)	)	PUNCT
ejpam-3848	164	8	∫	∫	PROPN
ejpam-3848	164	9	t	t	PROPN
ejpam-3848	164	10	t0	t0	PROPN
ejpam-3848	164	11	e‖y(s)−	e‖y(s)−	VERB
ejpam-3848	164	12	x(s)‖2ds	x(s)‖2ds	PUNCT
ejpam-3848	165	1	+	+	CCONJ
ejpam-3848	165	2	(	(	PUNCT
ejpam-3848	165	3	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	165	4	λ̄3	λ̄3	X
ejpam-3848	165	5	(	(	PUNCT
ejpam-3848	165	6	1	1	NUM
ejpam-3848	165	7	+	+	NUM
ejpam-3848	165	8	λ	λ	NOUN
ejpam-3848	165	9	)	)	PUNCT
ejpam-3848	165	10	+	+	NUM
ejpam-3848	165	11	σ2	σ2	NOUN
ejpam-3848	165	12	λ̄4	λ̄4	NOUN
ejpam-3848	165	13	)	)	PUNCT
ejpam-3848	165	14	∫	∫	PROPN
ejpam-3848	165	15	t	t	PROPN
ejpam-3848	165	16	t0	t0	PROPN
ejpam-3848	165	17	e‖y(s)‖2ds	e‖y(s)‖2d	VERB
ejpam-3848	165	18	≤	≤	X
ejpam-3848	165	19	[	[	PUNCT
ejpam-3848	165	20	2ρ	2ρ	NOUN
ejpam-3848	165	21	(	(	PUNCT
ejpam-3848	165	22	‖a‖2	‖a‖2	PROPN
ejpam-3848	165	23	λ̄1	λ̄1	X
ejpam-3848	165	24	+	+	CCONJ
ejpam-3848	165	25	k2‖b‖2	k2‖b‖2	VERB
ejpam-3848	165	26	λ̄2	λ̄2	SYM
ejpam-3848	165	27	+	+	NUM
ejpam-3848	165	28	2k2‖d‖2	2k2‖d‖2	NUM
ejpam-3848	165	29	λ̄3	λ̄3	X
ejpam-3848	165	30	)	)	PUNCT
ejpam-3848	166	1	+	+	CCONJ
ejpam-3848	166	2	2	2	NUM
ejpam-3848	166	3	(	(	PUNCT
ejpam-3848	166	4	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	166	5	λ̄3	λ̄3	X
ejpam-3848	166	6	(	(	PUNCT
ejpam-3848	166	7	1	1	NUM
ejpam-3848	166	8	+	+	NUM
ejpam-3848	166	9	λ	λ	NOUN
ejpam-3848	166	10	)	)	PUNCT
ejpam-3848	166	11	+	+	NUM
ejpam-3848	166	12	σ2	σ2	NOUN
ejpam-3848	166	13	λ̄4	λ̄4	NOUN
ejpam-3848	166	14	)	)	PUNCT
ejpam-3848	167	1	]	]	X
ejpam-3848	167	2	∫	∫	PROPN
ejpam-3848	167	3	t	t	PROPN
ejpam-3848	167	4	t0	t0	PROPN
ejpam-3848	167	5	e‖y(s)−	e‖y(s)−	VERB
ejpam-3848	167	6	x(s)‖2ds	x(s)‖2ds	PUNCT
ejpam-3848	168	1	+	+	CCONJ
ejpam-3848	168	2	4ρv	4ρv	ADJ
ejpam-3848	168	3	u	u	NOUN
ejpam-3848	168	4	(	(	PUNCT
ejpam-3848	168	5	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	168	6	λ̄3	λ̄3	X
ejpam-3848	168	7	(	(	PUNCT
ejpam-3848	168	8	1	1	NUM
ejpam-3848	168	9	+	+	NUM
ejpam-3848	168	10	λ	λ	NOUN
ejpam-3848	168	11	)	)	PUNCT
ejpam-3848	168	12	+	+	NUM
ejpam-3848	168	13	σ2	σ2	NOUN
ejpam-3848	168	14	λ̄4	λ̄4	NOUN
ejpam-3848	168	15	)	)	PUNCT
ejpam-3848	168	16	‖y0‖2	‖y0‖2	PROPN
ejpam-3848	168	17	(	(	PUNCT
ejpam-3848	168	18	16	16	NUM
ejpam-3848	168	19	)	)	PUNCT
ejpam-3848	168	20	when	when	SCONJ
ejpam-3848	168	21	t0	t0	PROPN
ejpam-3848	168	22	+	+	CCONJ
ejpam-3848	168	23	α	α	PROPN
ejpam-3848	168	24	≤	≤	PROPN
ejpam-3848	168	25	t	t	PROPN
ejpam-3848	168	26	≤	≤	NUM
ejpam-3848	168	27	t0	t0	PROPN
ejpam-3848	168	28	+	+	CCONJ
ejpam-3848	168	29	2ρ	2ρ	NOUN
ejpam-3848	168	30	,	,	PUNCT
ejpam-3848	168	31	it	it	PRON
ejpam-3848	168	32	follows	follow	VERB
ejpam-3848	168	33	from	from	ADP
ejpam-3848	168	34	(	(	PUNCT
ejpam-3848	168	35	16	16	NUM
ejpam-3848	168	36	)	)	PUNCT
ejpam-3848	169	1	that	that	PRON
ejpam-3848	169	2	e‖y(t)−	e‖y(t)−	PROPN
ejpam-3848	169	3	x(t)‖2	x(t)‖2	PROPN
ejpam-3848	170	1	≤	≤	PROPN
ejpam-3848	170	2	c2	c2	PROPN
ejpam-3848	170	3	∫	∫	PROPN
ejpam-3848	170	4	t	t	PROPN
ejpam-3848	170	5	t0	t0	PROPN
ejpam-3848	170	6	e‖y(s)−	e‖y(s)−	PROPN
ejpam-3848	171	1	x(s)‖2ds+	x(s)‖2ds+	PROPN
ejpam-3848	171	2	c3‖y0‖2	c3‖y0‖2	PROPN
ejpam-3848	171	3	(	(	PUNCT
ejpam-3848	171	4	17	17	NUM
ejpam-3848	171	5	)	)	PUNCT
ejpam-3848	171	6	where	where	SCONJ
ejpam-3848	171	7	c2	c2	PROPN
ejpam-3848	171	8	=	=	PROPN
ejpam-3848	171	9	2ρ	2ρ	NOUN
ejpam-3848	171	10	(	(	PUNCT
ejpam-3848	171	11	‖a‖2	‖a‖2	PROPN
ejpam-3848	171	12	λ̄1	λ̄1	X
ejpam-3848	171	13	+	+	CCONJ
ejpam-3848	171	14	k2‖b‖2	k2‖b‖2	VERB
ejpam-3848	171	15	λ̄2	λ̄2	SYM
ejpam-3848	171	16	+	+	NUM
ejpam-3848	171	17	2k2‖d‖2	2k2‖d‖2	NUM
ejpam-3848	171	18	λ̄3	λ̄3	X
ejpam-3848	171	19	)	)	PUNCT
ejpam-3848	172	1	+	+	CCONJ
ejpam-3848	172	2	2	2	NUM
ejpam-3848	172	3	(	(	PUNCT
ejpam-3848	172	4	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	172	5	λ̄3	λ̄3	X
ejpam-3848	172	6	(	(	PUNCT
ejpam-3848	172	7	1	1	NUM
ejpam-3848	172	8	+	+	NUM
ejpam-3848	172	9	λ	λ	NOUN
ejpam-3848	172	10	)	)	PUNCT
ejpam-3848	172	11	+	+	NUM
ejpam-3848	172	12	σ2	σ2	NOUN
ejpam-3848	172	13	λ̄4	λ̄4	NOUN
ejpam-3848	172	14	)	)	PUNCT
ejpam-3848	172	15	z.	z.	PROPN
ejpam-3848	172	16	mingxin	mingxin	PROPN
ejpam-3848	172	17	,	,	PUNCT
ejpam-3848	172	18	x.	x.	PROPN
ejpam-3848	172	19	tao	tao	PROPN
ejpam-3848	172	20	,	,	PUNCT
ejpam-3848	172	21	s.	s.	PROPN
ejpam-3848	172	22	wenxiao	wenxiao	PROPN
ejpam-3848	172	23	/	/	SYM
ejpam-3848	172	24	eur	eur	PROPN
ejpam-3848	172	25	.	.	PUNCT
ejpam-3848	173	1	j.	j.	PROPN
ejpam-3848	173	2	pure	pure	PROPN
ejpam-3848	173	3	appl	appl	PROPN
ejpam-3848	173	4	.	.	PROPN
ejpam-3848	173	5	math	math	PROPN
ejpam-3848	173	6	,	,	PUNCT
ejpam-3848	173	7	13	13	NUM
ejpam-3848	173	8	(	(	PUNCT
ejpam-3848	173	9	4	4	NUM
ejpam-3848	173	10	)	)	PUNCT
ejpam-3848	173	11	(	(	PUNCT
ejpam-3848	173	12	2020	2020	NUM
ejpam-3848	173	13	)	)	PUNCT
ejpam-3848	173	14	,	,	PUNCT
ejpam-3848	173	15	794	794	X
ejpam-3848	173	16	-	-	SYM
ejpam-3848	173	17	806	806	NUM
ejpam-3848	173	18	801	801	NUM
ejpam-3848	173	19	c3	c3	NOUN
ejpam-3848	173	20	=	=	PUNCT
ejpam-3848	173	21	4ρv	4ρv	NOUN
ejpam-3848	173	22	u	u	PROPN
ejpam-3848	173	23	(	(	PUNCT
ejpam-3848	173	24	8ρk2‖d‖2	8ρk2‖d‖2	NUM
ejpam-3848	173	25	λ̄3	λ̄3	X
ejpam-3848	173	26	(	(	PUNCT
ejpam-3848	173	27	1	1	NUM
ejpam-3848	173	28	+	+	NUM
ejpam-3848	173	29	λ	λ	NOUN
ejpam-3848	173	30	)	)	PUNCT
ejpam-3848	173	31	+	+	NUM
ejpam-3848	173	32	σ2	σ2	NOUN
ejpam-3848	173	33	λ̄4	λ̄4	NOUN
ejpam-3848	173	34	)	)	PUNCT
ejpam-3848	173	35	utilized	utilize	VERB
ejpam-3848	173	36	the	the	DET
ejpam-3848	173	37	well	well	ADV
ejpam-3848	173	38	-	-	PUNCT
ejpam-3848	173	39	known	know	VERB
ejpam-3848	173	40	gronwall	gronwall	ADJ
ejpam-3848	173	41	inequality	inequality	NOUN
ejpam-3848	173	42	to	to	ADP
ejpam-3848	173	43	(	(	PUNCT
ejpam-3848	173	44	17	17	NUM
ejpam-3848	173	45	)	)	PUNCT
ejpam-3848	173	46	,	,	PUNCT
ejpam-3848	173	47	for	for	ADP
ejpam-3848	173	48	t0	t0	PROPN
ejpam-3848	173	49	+	+	CCONJ
ejpam-3848	173	50	α	α	PROPN
ejpam-3848	173	51	≤	≤	PROPN
ejpam-3848	173	52	t	t	PROPN
ejpam-3848	173	53	≤	≤	NUM
ejpam-3848	173	54	t0	t0	PROPN
ejpam-3848	173	55	+	+	CCONJ
ejpam-3848	173	56	2ρ	2ρ	NOUN
ejpam-3848	173	57	,	,	PUNCT
ejpam-3848	173	58	e‖y(t)−	e‖y(t)−	PROPN
ejpam-3848	173	59	x(t)‖2	x(t)‖2	PROPN
ejpam-3848	174	1	≤	≤	PROPN
ejpam-3848	174	2	c3exp{2ρc2}‖y0‖2	c3exp{2ρc2}‖y0‖2	NOUN
ejpam-3848	174	3	.	.	PUNCT
ejpam-3848	175	1	(	(	PUNCT
ejpam-3848	175	2	18	18	NUM
ejpam-3848	175	3	)	)	PUNCT
ejpam-3848	175	4	consequently	consequently	ADV
ejpam-3848	175	5	,	,	PUNCT
ejpam-3848	175	6	for	for	ADP
ejpam-3848	175	7	t0	t0	PROPN
ejpam-3848	175	8	+	+	CCONJ
ejpam-3848	175	9	α	α	PROPN
ejpam-3848	175	10	≤	≤	PROPN
ejpam-3848	175	11	t	t	PROPN
ejpam-3848	175	12	≤	≤	NUM
ejpam-3848	175	13	t0	t0	PROPN
ejpam-3848	175	14	+	+	CCONJ
ejpam-3848	175	15	2ρ	2ρ	NOUN
ejpam-3848	175	16	,	,	PUNCT
ejpam-3848	175	17	e‖y(t)‖2	e‖y(t)‖2	VERB
ejpam-3848	175	18	≤	≤	NOUN
ejpam-3848	175	19	2e‖y(t)−	2e‖y(t)−	NUM
ejpam-3848	175	20	x(t)‖2	x(t)‖2	PROPN
ejpam-3848	176	1	+	+	CCONJ
ejpam-3848	176	2	2e‖x(t)‖2	2e‖x(t)‖2	NUM
ejpam-3848	176	3	≤	≤	NOUN
ejpam-3848	176	4	2c3exp{2ρc2}‖y0‖2	2c3exp{2ρc2}‖y0‖2	NUM
ejpam-3848	176	5	+	+	CCONJ
ejpam-3848	176	6	2u‖y0‖2exp{−v(t−	2u‖y0‖2exp{−v(t−	NUM
ejpam-3848	176	7	t0	t0	NOUN
ejpam-3848	176	8	)	)	PUNCT
ejpam-3848	176	9	}	}	PUNCT
ejpam-3848	176	10	.	.	PUNCT
ejpam-3848	177	1	(	(	PUNCT
ejpam-3848	177	2	19	19	NUM
ejpam-3848	177	3	)	)	PUNCT
ejpam-3848	177	4	hence	hence	ADV
ejpam-3848	177	5	,	,	PUNCT
ejpam-3848	177	6	for	for	ADP
ejpam-3848	177	7	t0	t0	PROPN
ejpam-3848	177	8	+	+	CCONJ
ejpam-3848	177	9	ρ−	ρ−	PROPN
ejpam-3848	177	10	α	α	PROPN
ejpam-3848	177	11	≤	≤	X
ejpam-3848	177	12	t	t	PROPN
ejpam-3848	177	13	≤	≤	NUM
ejpam-3848	177	14	t0	t0	PROPN
ejpam-3848	177	15	+	+	CCONJ
ejpam-3848	177	16	2ρ−	2ρ−	PROPN
ejpam-3848	177	17	α	α	NOUN
ejpam-3848	177	18	,	,	PUNCT
ejpam-3848	177	19	e‖y(t)‖2	e‖y(t)‖2	VERB
ejpam-3848	177	20	≤	≤	NOUN
ejpam-3848	177	21	[	[	PUNCT
ejpam-3848	177	22	2c3exp{2ρc2}+	2c3exp{2ρc2}+	NUM
ejpam-3848	177	23	2uexp{−v(ρ−	2uexp{−v(ρ−	NUM
ejpam-3848	177	24	α	α	NOUN
ejpam-3848	177	25	)	)	PUNCT
ejpam-3848	177	26	}	}	PUNCT
ejpam-3848	177	27	]	]	PUNCT
ejpam-3848	177	28	‖y0‖2	‖y0‖2	PROPN
ejpam-3848	177	29	=	=	SYM
ejpam-3848	177	30	ĉ‖y0‖2	ĉ‖y0‖2	PROPN
ejpam-3848	177	31	(	(	PUNCT
ejpam-3848	177	32	20	20	NUM
ejpam-3848	177	33	)	)	PUNCT
ejpam-3848	177	34	where	where	SCONJ
ejpam-3848	177	35	ĉ	ĉ	ADV
ejpam-3848	177	36	=	=	SYM
ejpam-3848	177	37	2c3exp{2ρc2}+	2c3exp{2ρc2}+	NUM
ejpam-3848	177	38	2uexp{−v(ρ−	2uexp{−v(ρ−	NUM
ejpam-3848	177	39	α	α	NOUN
ejpam-3848	177	40	)	)	PUNCT
ejpam-3848	177	41	}	}	PUNCT
ejpam-3848	177	42	.	.	PUNCT
ejpam-3848	178	1	from	from	ADP
ejpam-3848	178	2	(	(	PUNCT
ejpam-3848	178	3	13	13	NUM
ejpam-3848	178	4	)	)	PUNCT
ejpam-3848	178	5	,	,	PUNCT
ejpam-3848	178	6	combining	combine	VERB
ejpam-3848	178	7	the	the	DET
ejpam-3848	178	8	monotonicity	monotonicity	NOUN
ejpam-3848	178	9	of	of	ADP
ejpam-3848	178	10	the	the	DET
ejpam-3848	178	11	function	function	NOUN
ejpam-3848	178	12	,	,	PUNCT
ejpam-3848	178	13	we	we	PRON
ejpam-3848	178	14	know	know	VERB
ejpam-3848	178	15	that	that	SCONJ
ejpam-3848	178	16	when	when	SCONJ
ejpam-3848	178	17	α	α	X
ejpam-3848	178	18	<	<	X
ejpam-3848	178	19	ᾱ	ᾱ	NOUN
ejpam-3848	178	20	,	,	PUNCT
ejpam-3848	178	21	we	we	PRON
ejpam-3848	178	22	have	have	VERB
ejpam-3848	178	23	ĉ	ĉ	X
ejpam-3848	178	24	<	<	X
ejpam-3848	178	25	1	1	NUM
ejpam-3848	178	26	.	.	PUNCT
ejpam-3848	179	1	therefore	therefore	ADV
ejpam-3848	179	2	,	,	PUNCT
ejpam-3848	179	3	when	when	SCONJ
ejpam-3848	179	4	t0	t0	PROPN
ejpam-3848	179	5	−	−	PROPN
ejpam-3848	179	6	α+	α+	PUNCT
ejpam-3848	179	7	ρ	ρ	PROPN
ejpam-3848	179	8	≤	≤	PROPN
ejpam-3848	179	9	t	t	PROPN
ejpam-3848	179	10	≤	≤	NUM
ejpam-3848	179	11	t0	t0	PROPN
ejpam-3848	179	12	−	−	PROPN
ejpam-3848	179	13	α+	α+	NOUN
ejpam-3848	179	14	2ρ	2ρ	NOUN
ejpam-3848	179	15	,	,	PUNCT
ejpam-3848	179	16	we	we	PRON
ejpam-3848	179	17	discuss	discuss	VERB
ejpam-3848	179	18	the	the	DET
ejpam-3848	179	19	existence	existence	NOUN
ejpam-3848	179	20	of	of	ADP
ejpam-3848	179	21	parameter	parameter	NOUN
ejpam-3848	179	22	λ̄1	λ̄1	X
ejpam-3848	179	23	as	as	SCONJ
ejpam-3848	179	24	follows	follow	VERB
ejpam-3848	179	25	∂	∂	NOUN
ejpam-3848	179	26	ln	ln	ADJ
ejpam-3848	179	27	c̄	c̄	PROPN
ejpam-3848	179	28	∂λ̄1	∂λ̄1	NOUN
ejpam-3848	179	29	=	=	X
ejpam-3848	179	30	∂ĉ	∂ĉ	X
ejpam-3848	179	31	∂λ̄1	∂λ̄1	X
ejpam-3848	180	1	=	=	SYM
ejpam-3848	180	2	0	0	NUM
ejpam-3848	180	3	where	where	SCONJ
ejpam-3848	180	4	c̄	c̄	PROPN
ejpam-3848	180	5	=	=	SYM
ejpam-3848	180	6	ĉ−	ĉ−	PROPN
ejpam-3848	180	7	2uexp{−v(ρ−	2uexp{−v(ρ−	NUM
ejpam-3848	180	8	α	α	NOUN
ejpam-3848	180	9	)	)	PUNCT
ejpam-3848	180	10	}	}	PUNCT
ejpam-3848	180	11	∂	∂	NUM
ejpam-3848	180	12	ln	ln	ADJ
ejpam-3848	180	13	c̄	c̄	ADJ
ejpam-3848	180	14	∂λ̄1	∂λ̄1	NOUN
ejpam-3848	180	15	=	=	SYM
ejpam-3848	180	16	∂	∂	NUM
ejpam-3848	180	17	ln	ln	ADJ
ejpam-3848	180	18	c3	c3	NOUN
ejpam-3848	180	19	∂λ̄1	∂λ̄1	PROPN
ejpam-3848	180	20	+	+	NUM
ejpam-3848	180	21	2ρ	2ρ	NUM
ejpam-3848	180	22	∂c2	∂c2	NOUN
ejpam-3848	180	23	∂λ̄1	∂λ̄1	PUNCT
ejpam-3848	180	24	=	=	SYM
ejpam-3848	180	25	∂	∂	NUM
ejpam-3848	180	26	ln	ln	NOUN
ejpam-3848	180	27	c3	c3	X
ejpam-3848	180	28	c3∂λ̄1	c3∂λ̄1	PROPN
ejpam-3848	180	29	+	+	CCONJ
ejpam-3848	180	30	2ρ	2ρ	NUM
ejpam-3848	180	31	∂c2	∂c2	NOUN
ejpam-3848	180	32	∂λ̄1	∂λ̄1	PUNCT
ejpam-3848	180	33	(	(	PUNCT
ejpam-3848	180	34	21	21	NUM
ejpam-3848	180	35	)	)	PUNCT
ejpam-3848	180	36	further	far	ADV
ejpam-3848	180	37	more	more	ADV
ejpam-3848	180	38	,	,	PUNCT
ejpam-3848	180	39	from	from	ADP
ejpam-3848	180	40	(	(	PUNCT
ejpam-3848	180	41	21	21	NUM
ejpam-3848	180	42	)	)	PUNCT
ejpam-3848	180	43	we	we	PRON
ejpam-3848	180	44	obtain	obtain	VERB
ejpam-3848	180	45	(	(	PUNCT
ejpam-3848	180	46	a2σ	a2σ	PROPN
ejpam-3848	180	47	2	2	NUM
ejpam-3848	180	48	+	+	CCONJ
ejpam-3848	180	49	a1	a1	NOUN
ejpam-3848	180	50	−	−	NOUN
ejpam-3848	180	51	a3)λ̄3	a3)λ̄3	VERB
ejpam-3848	180	52	1	1	NUM
ejpam-3848	180	53	+	+	CCONJ
ejpam-3848	180	54	(	(	PUNCT
ejpam-3848	180	55	2σ4λ̄3	2σ4λ̄3	NUM
ejpam-3848	180	56	−	−	NOUN
ejpam-3848	180	57	k2λ̄3σ	k2λ̄3σ	NOUN
ejpam-3848	180	58	2	2	NUM
ejpam-3848	180	59	−	−	NOUN
ejpam-3848	180	60	k1a2σ	k1a2σ	PUNCT
ejpam-3848	180	61	2	2	NUM
ejpam-3848	180	62	−	−	NOUN
ejpam-3848	180	63	k1a3	k1a3	NOUN
ejpam-3848	180	64	−	−	NOUN
ejpam-3848	180	65	3k1a1)λ̄2	3k1a1)λ̄2	NUM
ejpam-3848	180	66	1	1	NUM
ejpam-3848	181	1	+	+	CCONJ
ejpam-3848	181	2	(	(	PUNCT
ejpam-3848	181	3	2k2k1σ	2k2k1σ	NUM
ejpam-3848	181	4	2	2	NUM
ejpam-3848	181	5	+	+	NUM
ejpam-3848	181	6	3k2	3k2	NUM
ejpam-3848	181	7	1)λ̄1	1)λ̄1	NUM
ejpam-3848	181	8	−	−	PROPN
ejpam-3848	181	9	(	(	PUNCT
ejpam-3848	181	10	k2k	k2k	PROPN
ejpam-3848	181	11	2	2	NUM
ejpam-3848	181	12	1σ	1σ	NOUN
ejpam-3848	181	13	2	2	NUM
ejpam-3848	181	14	+	+	NUM
ejpam-3848	181	15	a1k	a1k	NOUN
ejpam-3848	181	16	3	3	NUM
ejpam-3848	181	17	1	1	NUM
ejpam-3848	181	18	)	)	PUNCT
ejpam-3848	181	19	=	=	SYM
ejpam-3848	181	20	0	0	PUNCT
ejpam-3848	181	21	(	(	PUNCT
ejpam-3848	181	22	22	22	NUM
ejpam-3848	181	23	)	)	PUNCT
ejpam-3848	181	24	where	where	SCONJ
ejpam-3848	181	25	a1	a1	NOUN
ejpam-3848	181	26	=	=	SYM
ejpam-3848	181	27	16ρ2k2‖a‖2‖d‖2	16ρ2k2‖a‖2‖d‖2	NUM
ejpam-3848	181	28	,	,	PUNCT
ejpam-3848	181	29	a2	a2	PROPN
ejpam-3848	181	30	=	=	PUNCT
ejpam-3848	182	1	−4ρσ2vλ̄3	−4ρσ2vλ̄3	PROPN
ejpam-3848	182	2	u	u	NOUN
ejpam-3848	182	3	,	,	PUNCT
ejpam-3848	182	4	a3	a3	NOUN
ejpam-3848	182	5	=	=	PUNCT
ejpam-3848	182	6	64ρ3k2|d‖2(1+λ)vλ̄3	64ρ3k2|d‖2(1+λ)vλ̄3	NUM
ejpam-3848	182	7	u	u	NOUN
ejpam-3848	182	8	,	,	PUNCT
ejpam-3848	182	9	k1	k1	NOUN
ejpam-3848	182	10	=	=	SYM
ejpam-3848	182	11	(	(	PUNCT
ejpam-3848	182	12	1−	1−	NUM
ejpam-3848	182	13	λ̄2	λ̄2	NOUN
ejpam-3848	182	14	−	−	PUNCT
ejpam-3848	182	15	λ̄3	λ̄3	NOUN
ejpam-3848	182	16	)	)	PUNCT
ejpam-3848	182	17	,	,	PUNCT
ejpam-3848	182	18	k2	k2	NOUN
ejpam-3848	182	19	=	=	PROPN
ejpam-3848	182	20	2ρλ̄3‖a‖2	2ρλ̄3‖a‖2	NUM
ejpam-3848	182	21	therefore	therefore	ADV
ejpam-3848	182	22	,	,	PUNCT
ejpam-3848	182	23	according	accord	VERB
ejpam-3848	182	24	to	to	ADP
ejpam-3848	182	25	(	(	PUNCT
ejpam-3848	182	26	22	22	NUM
ejpam-3848	182	27	)	)	PUNCT
ejpam-3848	182	28	,	,	PUNCT
ejpam-3848	182	29	there	there	PRON
ejpam-3848	182	30	exists	exist	VERB
ejpam-3848	182	31	a	a	DET
ejpam-3848	182	32	real	real	ADJ
ejpam-3848	182	33	solution	solution	NOUN
ejpam-3848	182	34	λ̄1	λ̄1	NOUN
ejpam-3848	182	35	.	.	PUNCT
ejpam-3848	183	1	for	for	ADP
ejpam-3848	183	2	λ̄2	λ̄2	NUM
ejpam-3848	183	3	,	,	PUNCT
ejpam-3848	183	4	λ̄3	λ̄3	PUNCT
ejpam-3848	183	5	and	and	CCONJ
ejpam-3848	183	6	λ̄4	λ̄4	PRON
ejpam-3848	183	7	can	can	AUX
ejpam-3848	183	8	be	be	AUX
ejpam-3848	183	9	similarly	similarly	ADV
ejpam-3848	183	10	discussed	discuss	VERB
ejpam-3848	183	11	as	as	ADP
ejpam-3848	183	12	(	(	PUNCT
ejpam-3848	183	13	22	22	NUM
ejpam-3848	183	14	)	)	PUNCT
ejpam-3848	183	15	,	,	PUNCT
ejpam-3848	183	16	substituting	substitute	VERB
ejpam-3848	183	17	λ̄1	λ̄1	NOUN
ejpam-3848	183	18	,	,	PUNCT
ejpam-3848	183	19	λ̄2	λ̄2	X
ejpam-3848	183	20	,	,	PUNCT
ejpam-3848	183	21	λ̄3	λ̄3	PUNCT
ejpam-3848	183	22	and	and	CCONJ
ejpam-3848	183	23	λ̄4	λ̄4	X
ejpam-3848	183	24	into	into	ADP
ejpam-3848	183	25	ĉ	ĉ	NOUN
ejpam-3848	183	26	,	,	PUNCT
ejpam-3848	183	27	we	we	PRON
ejpam-3848	183	28	know	know	VERB
ejpam-3848	183	29	that	that	SCONJ
ejpam-3848	183	30	ĉ	ĉ	ADV
ejpam-3848	183	31	is	be	AUX
ejpam-3848	183	32	a	a	DET
ejpam-3848	183	33	strictly	strictly	ADV
ejpam-3848	183	34	monotone	monotone	ADJ
ejpam-3848	183	35	function	function	NOUN
ejpam-3848	183	36	.	.	PUNCT
ejpam-3848	184	1	so	so	ADV
ejpam-3848	184	2	,	,	PUNCT
ejpam-3848	184	3	equation	equation	NOUN
ejpam-3848	184	4	(	(	PUNCT
ejpam-3848	184	5	13	13	NUM
ejpam-3848	184	6	)	)	PUNCT
ejpam-3848	184	7	exists	exist	VERB
ejpam-3848	184	8	a	a	DET
ejpam-3848	184	9	unique	unique	ADJ
ejpam-3848	184	10	α̂	α̂	NOUN
ejpam-3848	184	11	such	such	ADJ
ejpam-3848	184	12	that	that	SCONJ
ejpam-3848	184	13	α̂	α̂	NUM
ejpam-3848	184	14	=	=	SYM
ejpam-3848	184	15	ᾱ	ᾱ	NOUN
ejpam-3848	184	16	,	,	PUNCT
ejpam-3848	184	17	for	for	ADP
ejpam-3848	184	18	λ̄1	λ̄1	NOUN
ejpam-3848	184	19	,	,	PUNCT
ejpam-3848	184	20	λ̄2	λ̄2	X
ejpam-3848	184	21	,	,	PUNCT
ejpam-3848	184	22	λ̄3	λ̄3	X
ejpam-3848	184	23	∈	∈	PROPN
ejpam-3848	184	24	(	(	PUNCT
ejpam-3848	184	25	0	0	NUM
ejpam-3848	184	26	,	,	PUNCT
ejpam-3848	184	27	1	1	NUM
ejpam-3848	184	28	)	)	PUNCT
ejpam-3848	184	29	.	.	PUNCT
ejpam-3848	185	1	on	on	ADP
ejpam-3848	185	2	the	the	DET
ejpam-3848	185	3	basis	basis	NOUN
ejpam-3848	185	4	of	of	ADP
ejpam-3848	185	5	(	(	PUNCT
ejpam-3848	185	6	12	12	NUM
ejpam-3848	185	7	)	)	PUNCT
ejpam-3848	185	8	and	and	CCONJ
ejpam-3848	185	9	(	(	PUNCT
ejpam-3848	185	10	13	13	NUM
ejpam-3848	185	11	)	)	PUNCT
ejpam-3848	185	12	,	,	PUNCT
ejpam-3848	185	13	we	we	PRON
ejpam-3848	185	14	observe	observe	VERB
ejpam-3848	185	15	that	that	SCONJ
ejpam-3848	185	16	ĉ	ĉ	ADV
ejpam-3848	185	17	<	<	X
ejpam-3848	185	18	1	1	NUM
ejpam-3848	185	19	,	,	PUNCT
ejpam-3848	185	20	when	when	SCONJ
ejpam-3848	185	21	|σ|	|σ|	PROPN
ejpam-3848	185	22	<	<	X
ejpam-3848	185	23	σ̄	σ̄	PROPN
ejpam-3848	185	24	,	,	PUNCT
ejpam-3848	185	25	α	α	NOUN
ejpam-3848	185	26	<	<	X
ejpam-3848	185	27	min(ρ2	min(ρ2	NOUN
ejpam-3848	185	28	,	,	PUNCT
ejpam-3848	185	29	ᾱ	ᾱ	NOUN
ejpam-3848	185	30	)	)	PUNCT
ejpam-3848	185	31	.	.	PUNCT
ejpam-3848	186	1	setting	set	VERB
ejpam-3848	186	2	τ	τ	X
ejpam-3848	186	3	=	=	SYM
ejpam-3848	186	4	−	−	PROPN
ejpam-3848	186	5	ln(ĉ	ln(ĉ	NOUN
ejpam-3848	186	6	)	)	PUNCT
ejpam-3848	186	7	ρ	ρ	NOUN
ejpam-3848	186	8	,	,	PUNCT
ejpam-3848	186	9	we	we	PRON
ejpam-3848	186	10	have	have	AUX
ejpam-3848	186	11	e‖y(t)‖2	e‖y(t)‖2	VERB
ejpam-3848	186	12	≤	≤	NUM
ejpam-3848	186	13	exp{−ρτ}‖y0‖2	exp{−ρτ}‖y0‖2	NUM
ejpam-3848	186	14	(	(	PUNCT
ejpam-3848	186	15	23	23	NUM
ejpam-3848	186	16	)	)	PUNCT
ejpam-3848	186	17	z.	z.	PROPN
ejpam-3848	186	18	mingxin	mingxin	PROPN
ejpam-3848	186	19	,	,	PUNCT
ejpam-3848	186	20	x.	x.	PROPN
ejpam-3848	186	21	tao	tao	PROPN
ejpam-3848	186	22	,	,	PUNCT
ejpam-3848	186	23	s.	s.	PROPN
ejpam-3848	186	24	wenxiao	wenxiao	PROPN
ejpam-3848	186	25	/	/	SYM
ejpam-3848	186	26	eur	eur	PROPN
ejpam-3848	186	27	.	.	PUNCT
ejpam-3848	187	1	j.	j.	PROPN
ejpam-3848	187	2	pure	pure	PROPN
ejpam-3848	187	3	appl	appl	PROPN
ejpam-3848	187	4	.	.	PROPN
ejpam-3848	187	5	math	math	PROPN
ejpam-3848	187	6	,	,	PUNCT
ejpam-3848	187	7	13	13	NUM
ejpam-3848	187	8	(	(	PUNCT
ejpam-3848	187	9	4	4	NUM
ejpam-3848	187	10	)	)	PUNCT
ejpam-3848	187	11	(	(	PUNCT
ejpam-3848	187	12	2020	2020	NUM
ejpam-3848	187	13	)	)	PUNCT
ejpam-3848	187	14	,	,	PUNCT
ejpam-3848	187	15	794	794	X
ejpam-3848	187	16	-	-	SYM
ejpam-3848	187	17	806	806	NUM
ejpam-3848	187	18	802	802	NUM
ejpam-3848	187	19	combined	combine	VERB
ejpam-3848	187	20	with	with	ADP
ejpam-3848	187	21	the	the	DET
ejpam-3848	187	22	flow	flow	NOUN
ejpam-3848	187	23	and	and	CCONJ
ejpam-3848	187	24	the	the	DET
ejpam-3848	187	25	uniqueness	uniqueness	NOUN
ejpam-3848	187	26	of	of	ADP
ejpam-3848	187	27	solution	solution	NOUN
ejpam-3848	187	28	in	in	ADP
ejpam-3848	187	29	rnn	rnn	PROPN
ejpam-3848	187	30	(	(	PUNCT
ejpam-3848	187	31	1	1	NUM
ejpam-3848	187	32	)	)	PUNCT
ejpam-3848	187	33	,	,	PUNCT
ejpam-3848	187	34	for	for	ADP
ejpam-3848	187	35	any	any	DET
ejpam-3848	187	36	positive	positive	ADJ
ejpam-3848	187	37	integer	integer	NOUN
ejpam-3848	187	38	m.	m.	NOUN
ejpam-3848	187	39	y(t	y(t	PROPN
ejpam-3848	187	40	;	;	PUNCT
ejpam-3848	187	41	t0	t0	PROPN
ejpam-3848	187	42	,	,	PUNCT
ejpam-3848	187	43	y0	y0	NOUN
ejpam-3848	187	44	)	)	PUNCT
ejpam-3848	187	45	=	=	SYM
ejpam-3848	188	1	y(t	y(t	PROPN
ejpam-3848	188	2	;	;	PUNCT
ejpam-3848	188	3	t0	t0	PROPN
ejpam-3848	188	4	+	+	CCONJ
ejpam-3848	188	5	(	(	PUNCT
ejpam-3848	188	6	m−	m−	PROPN
ejpam-3848	188	7	1)ρ	1)ρ	NUM
ejpam-3848	188	8	,	,	PUNCT
ejpam-3848	188	9	y(t0	y(t0	PROPN
ejpam-3848	188	10	+	+	CCONJ
ejpam-3848	188	11	(	(	PUNCT
ejpam-3848	188	12	m−	m−	PROPN
ejpam-3848	188	13	1)ρ	1)ρ	NUM
ejpam-3848	188	14	;	;	PUNCT
ejpam-3848	188	15	t0	t0	PROPN
ejpam-3848	188	16	,	,	PUNCT
ejpam-3848	188	17	y0	y0	NOUN
ejpam-3848	188	18	)	)	PUNCT
ejpam-3848	188	19	)	)	PUNCT
ejpam-3848	188	20	(	(	PUNCT
ejpam-3848	188	21	24	24	NUM
ejpam-3848	188	22	)	)	PUNCT
ejpam-3848	188	23	thus	thus	ADV
ejpam-3848	188	24	,	,	PUNCT
ejpam-3848	188	25	considering	consider	VERB
ejpam-3848	188	26	(	(	PUNCT
ejpam-3848	188	27	23	23	NUM
ejpam-3848	188	28	)	)	PUNCT
ejpam-3848	188	29	and	and	CCONJ
ejpam-3848	188	30	(	(	PUNCT
ejpam-3848	188	31	24	24	NUM
ejpam-3848	188	32	)	)	PUNCT
ejpam-3848	188	33	,	,	PUNCT
ejpam-3848	188	34	for	for	ADP
ejpam-3848	188	35	t	t	PROPN
ejpam-3848	188	36	≥	≥	NUM
ejpam-3848	188	37	t0	t0	NOUN
ejpam-3848	188	38	−	−	PROPN
ejpam-3848	189	1	α+mρ	α+mρ	PROPN
ejpam-3848	189	2	,	,	PUNCT
ejpam-3848	189	3	‖y(t	‖y(t	NUM
ejpam-3848	189	4	;	;	PUNCT
ejpam-3848	189	5	t0	t0	PROPN
ejpam-3848	189	6	,	,	PUNCT
ejpam-3848	189	7	y0)‖	y0)‖	PROPN
ejpam-3848	189	8	=	=	PUNCT
ejpam-3848	189	9	‖y(t	‖y(t	PUNCT
ejpam-3848	189	10	;	;	PUNCT
ejpam-3848	189	11	t0	t0	PROPN
ejpam-3848	189	12	+	+	CCONJ
ejpam-3848	189	13	(	(	PUNCT
ejpam-3848	189	14	m−	m−	PROPN
ejpam-3848	189	15	1)ρ	1)ρ	NUM
ejpam-3848	189	16	,	,	PUNCT
ejpam-3848	189	17	y(t0	y(t0	PROPN
ejpam-3848	189	18	+	+	CCONJ
ejpam-3848	189	19	(	(	PUNCT
ejpam-3848	189	20	m−	m−	PROPN
ejpam-3848	189	21	1)ρ	1)ρ	NUM
ejpam-3848	189	22	;	;	PUNCT
ejpam-3848	189	23	t0	t0	PROPN
ejpam-3848	189	24	,	,	PUNCT
ejpam-3848	189	25	y0))‖	y0))‖	PROPN
ejpam-3848	189	26	≤	≤	NOUN
ejpam-3848	189	27	exp(−ρτ)‖y(t0	exp(−ρτ)‖y(t0	NOUN
ejpam-3848	190	1	+	+	CCONJ
ejpam-3848	190	2	(	(	PUNCT
ejpam-3848	190	3	m−	m−	PROPN
ejpam-3848	190	4	1)ρ	1)ρ	NUM
ejpam-3848	190	5	;	;	PUNCT
ejpam-3848	190	6	t0	t0	NUM
ejpam-3848	190	7	,	,	PUNCT
ejpam-3848	190	8	y0)‖	y0)‖	PROPN
ejpam-3848	190	9	≤	≤	NOUN
ejpam-3848	190	10	exp(−mρτ)‖y0‖	exp(−mρτ)‖y0‖	PUNCT
ejpam-3848	190	11	consequently	consequently	ADV
ejpam-3848	190	12	,	,	PUNCT
ejpam-3848	190	13	when	when	SCONJ
ejpam-3848	190	14	t	t	PROPN
ejpam-3848	190	15	>	>	X
ejpam-3848	190	16	t0−α+ρ	t0−α+ρ	NUM
ejpam-3848	190	17	,	,	PUNCT
ejpam-3848	190	18	the	the	DET
ejpam-3848	190	19	positive	positive	ADJ
ejpam-3848	190	20	integer	integer	NOUN
ejpam-3848	190	21	m	m	VERB
ejpam-3848	190	22	that	that	PRON
ejpam-3848	190	23	satisfies	satisfy	VERB
ejpam-3848	190	24	t0−α+(m−1)ρ	t0−α+(m−1)ρ	NOUN
ejpam-3848	190	25	≤	≤	NUM
ejpam-3848	190	26	t	t	PROPN
ejpam-3848	190	27	≤	≤	NUM
ejpam-3848	190	28	t0	t0	PROPN
ejpam-3848	190	29	−	−	PROPN
ejpam-3848	190	30	α+mρ	α+mρ	PROPN
ejpam-3848	190	31	,	,	PUNCT
ejpam-3848	190	32	‖y(t	‖y(t	NUM
ejpam-3848	190	33	;	;	PUNCT
ejpam-3848	190	34	t0	t0	PROPN
ejpam-3848	190	35	,	,	PUNCT
ejpam-3848	190	36	y0)‖2	y0)‖2	PROPN
ejpam-3848	190	37	≤	≤	PUNCT
ejpam-3848	190	38	exp(−τ(t−	exp(−τ(t−	INTJ
ejpam-3848	190	39	t0))exp(τ(ρ−	t0))exp(τ(ρ−	PROPN
ejpam-3848	190	40	α))‖y0‖2	α))‖y0‖2	PROPN
ejpam-3848	190	41	(	(	PUNCT
ejpam-3848	190	42	25	25	NUM
ejpam-3848	190	43	)	)	PUNCT
ejpam-3848	190	44	obviously	obviously	ADV
ejpam-3848	190	45	,	,	PUNCT
ejpam-3848	190	46	(	(	PUNCT
ejpam-3848	190	47	25	25	NUM
ejpam-3848	190	48	)	)	PUNCT
ejpam-3848	190	49	also	also	ADV
ejpam-3848	190	50	holds	hold	VERB
ejpam-3848	190	51	for	for	ADP
ejpam-3848	190	52	t0	t0	PROPN
ejpam-3848	190	53	≤	≤	PROPN
ejpam-3848	190	54	t	t	PROPN
ejpam-3848	190	55	≤	≤	NUM
ejpam-3848	190	56	t0	t0	PROPN
ejpam-3848	190	57	−	−	PROPN
ejpam-3848	190	58	α+	α+	PUNCT
ejpam-3848	190	59	ρ	ρ	NOUN
ejpam-3848	190	60	.	.	PUNCT
ejpam-3848	191	1	therefore	therefore	ADV
ejpam-3848	191	2	,	,	PUNCT
ejpam-3848	191	3	rnn	rnn	PROPN
ejpam-3848	191	4	(	(	PUNCT
ejpam-3848	191	5	1	1	NUM
ejpam-3848	191	6	)	)	PUNCT
ejpam-3848	191	7	is	be	AUX
ejpam-3848	191	8	mean	mean	ADJ
ejpam-3848	191	9	square	square	ADJ
ejpam-3848	191	10	exponentially	exponentially	ADV
ejpam-3848	191	11	stable	stable	ADJ
ejpam-3848	191	12	.	.	PUNCT
ejpam-3848	192	1	from	from	ADP
ejpam-3848	192	2	lemma	lemma	PROPN
ejpam-3848	192	3	2.3	2.3	NUM
ejpam-3848	192	4	,	,	PUNCT
ejpam-3848	192	5	the	the	DET
ejpam-3848	192	6	almost	almost	ADV
ejpam-3848	192	7	surely	surely	ADV
ejpam-3848	192	8	exponential	exponential	ADJ
ejpam-3848	192	9	stability	stability	NOUN
ejpam-3848	192	10	of	of	ADP
ejpam-3848	192	11	system	system	NOUN
ejpam-3848	192	12	(	(	PUNCT
ejpam-3848	192	13	1	1	X
ejpam-3848	192	14	)	)	PUNCT
ejpam-3848	192	15	can	can	AUX
ejpam-3848	192	16	be	be	AUX
ejpam-3848	192	17	fully	fully	ADV
ejpam-3848	192	18	proved	prove	VERB
ejpam-3848	192	19	.	.	PUNCT
ejpam-3848	193	1	4	4	X
ejpam-3848	193	2	.	.	X
ejpam-3848	193	3	illustrative	illustrative	ADJ
ejpam-3848	193	4	numerical	numerical	ADJ
ejpam-3848	193	5	examples	example	NOUN
ejpam-3848	193	6	in	in	ADP
ejpam-3848	193	7	this	this	DET
ejpam-3848	193	8	section	section	NOUN
ejpam-3848	193	9	,	,	PUNCT
ejpam-3848	193	10	an	an	DET
ejpam-3848	193	11	example	example	NOUN
ejpam-3848	193	12	is	be	AUX
ejpam-3848	193	13	provided	provide	VERB
ejpam-3848	193	14	to	to	PART
ejpam-3848	193	15	illustrate	illustrate	VERB
ejpam-3848	193	16	the	the	DET
ejpam-3848	193	17	results	result	NOUN
ejpam-3848	193	18	.	.	PUNCT
ejpam-3848	194	1	example	example	NOUN
ejpam-3848	194	2	1	1	NUM
ejpam-3848	194	3	.	.	PUNCT
ejpam-3848	195	1	given	give	VERB
ejpam-3848	195	2	the	the	DET
ejpam-3848	195	3	two	two	NUM
ejpam-3848	195	4	-	-	PUNCT
ejpam-3848	195	5	dimensional	dimensional	ADJ
ejpam-3848	195	6	original	original	ADJ
ejpam-3848	195	7	system	system	NOUN
ejpam-3848	195	8	{	{	PUNCT
ejpam-3848	195	9	ẋ1(t	ẋ1(t	PROPN
ejpam-3848	195	10	)	)	PUNCT
ejpam-3848	195	11	=	=	PUNCT
ejpam-3848	195	12	−x1(t)−	−x1(t)−	PROPN
ejpam-3848	195	13	2f(x1(t	2f(x1(t	NUM
ejpam-3848	195	14	)	)	PUNCT
ejpam-3848	195	15	)	)	PUNCT
ejpam-3848	196	1	+	+	CCONJ
ejpam-3848	196	2	2f(x2(t	2f(x2(t	NUM
ejpam-3848	196	3	)	)	PUNCT
ejpam-3848	196	4	)	)	PUNCT
ejpam-3848	196	5	,	,	PUNCT
ejpam-3848	196	6	ẋ2(t	ẋ2(t	PROPN
ejpam-3848	196	7	)	)	PUNCT
ejpam-3848	197	1	=	=	SYM
ejpam-3848	197	2	−x2(t	−x2(t	NOUN
ejpam-3848	197	3	)	)	PUNCT
ejpam-3848	198	1	+	+	CCONJ
ejpam-3848	199	1	2f(x1(t))−	2f(x1(t))−	NUM
ejpam-3848	199	2	2f(x2(t	2f(x2(t	NUM
ejpam-3848	199	3	)	)	PUNCT
ejpam-3848	199	4	)	)	PUNCT
ejpam-3848	199	5	.	.	PUNCT
ejpam-3848	200	1	(	(	PUNCT
ejpam-3848	200	2	26	26	NUM
ejpam-3848	200	3	)	)	PUNCT
ejpam-3848	200	4	under	under	ADP
ejpam-3848	200	5	the	the	DET
ejpam-3848	200	6	vector	vector	NOUN
ejpam-3848	200	7	form	form	NOUN
ejpam-3848	200	8	in	in	ADP
ejpam-3848	200	9	(	(	PUNCT
ejpam-3848	200	10	1	1	NUM
ejpam-3848	200	11	)	)	PUNCT
ejpam-3848	200	12	,	,	PUNCT
ejpam-3848	200	13	the	the	DET
ejpam-3848	200	14	matrix	matrix	NOUN
ejpam-3848	200	15	can	can	AUX
ejpam-3848	200	16	be	be	AUX
ejpam-3848	200	17	written	write	VERB
ejpam-3848	200	18	as	as	ADP
ejpam-3848	200	19	a	a	DET
ejpam-3848	200	20	=	=	X
ejpam-3848	200	21	(	(	PUNCT
ejpam-3848	200	22	1	1	NUM
ejpam-3848	200	23	0	0	NUM
ejpam-3848	200	24	0	0	NUM
ejpam-3848	200	25	1	1	NUM
ejpam-3848	200	26	)	)	PUNCT
ejpam-3848	200	27	,	,	PUNCT
ejpam-3848	200	28	b	b	X
ejpam-3848	200	29	=	=	PRON
ejpam-3848	200	30	(	(	PUNCT
ejpam-3848	200	31	−1	−1	NOUN
ejpam-3848	200	32	1	1	NUM
ejpam-3848	200	33	1	1	NUM
ejpam-3848	200	34	−1	−1	NOUN
ejpam-3848	200	35	)	)	PUNCT
ejpam-3848	200	36	,	,	PUNCT
ejpam-3848	201	1	d	d	NOUN
ejpam-3848	201	2	=	=	PRON
ejpam-3848	201	3	(	(	PUNCT
ejpam-3848	201	4	−1	−1	NOUN
ejpam-3848	201	5	1	1	NUM
ejpam-3848	201	6	1	1	NUM
ejpam-3848	201	7	−1	−1	NOUN
ejpam-3848	201	8	)	)	PUNCT
ejpam-3848	201	9	.	.	PUNCT
ejpam-3848	202	1	if	if	SCONJ
ejpam-3848	202	2	we	we	PRON
ejpam-3848	202	3	choose	choose	VERB
ejpam-3848	202	4	f(xj	f(xj	PROPN
ejpam-3848	202	5	)	)	PUNCT
ejpam-3848	202	6	=	=	SYM
ejpam-3848	202	7	sin2(xj	sin2(xj	X
ejpam-3848	202	8	)	)	PUNCT
ejpam-3848	202	9	,	,	PUNCT
ejpam-3848	202	10	j	j	PROPN
ejpam-3848	202	11	=	=	SYM
ejpam-3848	202	12	1	1	NUM
ejpam-3848	202	13	,	,	PUNCT
ejpam-3848	202	14	2	2	NUM
ejpam-3848	202	15	.	.	PUNCT
ejpam-3848	202	16	then	then	ADV
ejpam-3848	202	17	,	,	PUNCT
ejpam-3848	202	18	by	by	ADP
ejpam-3848	202	19	theorem	theorem	NOUN
ejpam-3848	202	20	1	1	NUM
ejpam-3848	202	21	in	in	ADP
ejpam-3848	202	22	[	[	X
ejpam-3848	202	23	26	26	NUM
ejpam-3848	202	24	]	]	PUNCT
ejpam-3848	202	25	,	,	PUNCT
ejpam-3848	202	26	the	the	DET
ejpam-3848	202	27	recurrent	recurrent	ADJ
ejpam-3848	202	28	neural	neural	ADJ
ejpam-3848	202	29	network	network	NOUN
ejpam-3848	202	30	(	(	PUNCT
ejpam-3848	202	31	26	26	NUM
ejpam-3848	202	32	)	)	PUNCT
ejpam-3848	202	33	is	be	AUX
ejpam-3848	202	34	globally	globally	ADV
ejpam-3848	202	35	exponentially	exponentially	ADV
ejpam-3848	202	36	stable	stable	ADJ
ejpam-3848	202	37	.	.	PUNCT
ejpam-3848	203	1	the	the	DET
ejpam-3848	203	2	system	system	NOUN
ejpam-3848	203	3	(	(	PUNCT
ejpam-3848	203	4	26	26	NUM
ejpam-3848	203	5	)	)	PUNCT
ejpam-3848	203	6	with	with	ADP
ejpam-3848	203	7	deviating	deviate	VERB
ejpam-3848	203	8	argument	argument	NOUN
ejpam-3848	203	9	and	and	CCONJ
ejpam-3848	203	10	stochastic	stochastic	ADJ
ejpam-3848	203	11	disturbance	disturbance	NOUN
ejpam-3848	203	12	is	be	AUX
ejpam-3848	203	13	modeled	model	VERB
ejpam-3848	203	14	by	by	ADP
ejpam-3848	203	15	{	{	PUNCT
ejpam-3848	203	16	ẏ1(t	ẏ1(t	PROPN
ejpam-3848	203	17	)	)	PUNCT
ejpam-3848	203	18	=	=	SYM
ejpam-3848	203	19	−y1(t)−	−y1(t)−	PROPN
ejpam-3848	203	20	f(y1(t	f(y1(t	PROPN
ejpam-3848	203	21	)	)	PUNCT
ejpam-3848	203	22	)	)	PUNCT
ejpam-3848	204	1	+	+	CCONJ
ejpam-3848	204	2	f(y2(t))−	f(y2(t))−	NOUN
ejpam-3848	204	3	f(y1(β(t	f(y1(β(t	NOUN
ejpam-3848	204	4	)	)	PUNCT
ejpam-3848	204	5	)	)	PUNCT
ejpam-3848	204	6	)	)	PUNCT
ejpam-3848	205	1	+	+	CCONJ
ejpam-3848	205	2	f(y2(β(t	f(y2(β(t	X
ejpam-3848	205	3	)	)	PUNCT
ejpam-3848	205	4	)	)	PUNCT
ejpam-3848	205	5	)	)	PUNCT
ejpam-3848	206	1	+	+	CCONJ
ejpam-3848	206	2	σy1(t)dω(t	σy1(t)dω(t	NOUN
ejpam-3848	206	3	)	)	PUNCT
ejpam-3848	206	4	,	,	PUNCT
ejpam-3848	206	5	ẏ2(t	ẏ2(t	PROPN
ejpam-3848	206	6	)	)	PUNCT
ejpam-3848	206	7	=	=	SYM
ejpam-3848	206	8	−y2(t	−y2(t	NOUN
ejpam-3848	206	9	)	)	PUNCT
ejpam-3848	207	1	+	+	CCONJ
ejpam-3848	207	2	f(y1(t))−	f(y1(t))−	VERB
ejpam-3848	207	3	f(y2(t	f(y2(t	NOUN
ejpam-3848	207	4	)	)	PUNCT
ejpam-3848	207	5	)	)	PUNCT
ejpam-3848	208	1	+	+	CCONJ
ejpam-3848	208	2	f(y1(β(t)))−	f(y1(β(t)))−	VERB
ejpam-3848	208	3	f(y2(β(t	f(y2(β(t	ADJ
ejpam-3848	208	4	)	)	PUNCT
ejpam-3848	208	5	)	)	PUNCT
ejpam-3848	208	6	)	)	PUNCT
ejpam-3848	209	1	+	+	CCONJ
ejpam-3848	209	2	σy1(t)dω(t	σy1(t)dω(t	NOUN
ejpam-3848	209	3	)	)	PUNCT
ejpam-3848	209	4	,	,	PUNCT
ejpam-3848	209	5	(	(	PUNCT
ejpam-3848	209	6	27	27	NUM
ejpam-3848	209	7	)	)	PUNCT
ejpam-3848	209	8	where	where	SCONJ
ejpam-3848	209	9	{	{	PUNCT
ejpam-3848	209	10	αk	αk	NOUN
ejpam-3848	209	11	}	}	PUNCT
ejpam-3848	209	12	=	=	SYM
ejpam-3848	209	13	{	{	PUNCT
ejpam-3848	209	14	k4	k4	NOUN
ejpam-3848	209	15	}	}	PUNCT
ejpam-3848	209	16	,	,	PUNCT
ejpam-3848	209	17	{	{	PUNCT
ejpam-3848	209	18	ηk	ηk	VERB
ejpam-3848	209	19	}	}	PUNCT
ejpam-3848	209	20	=	=	PUNCT
ejpam-3848	209	21	{	{	PUNCT
ejpam-3848	209	22	2k+1	2k+1	NUM
ejpam-3848	209	23	8	8	NUM
ejpam-3848	209	24	}	}	PUNCT
ejpam-3848	209	25	,	,	PUNCT
ejpam-3848	209	26	k	k	PROPN
ejpam-3848	209	27	∈	∈	PROPN
ejpam-3848	209	28	n	n	PROPN
ejpam-3848	209	29	,	,	PUNCT
ejpam-3848	209	30	t	t	PROPN
ejpam-3848	209	31	∈	∈	PROPN
ejpam-3848	210	1	[	[	X
ejpam-3848	210	2	αk	αk	X
ejpam-3848	210	3	,	,	PUNCT
ejpam-3848	210	4	αk+1	αk+1	NUM
ejpam-3848	210	5	)	)	PUNCT
ejpam-3848	210	6	,	,	PUNCT
ejpam-3848	210	7	t	t	PROPN
ejpam-3848	210	8	∈	∈	PROPN
ejpam-3848	211	1	<	<	X
ejpam-3848	211	2	+	+	PROPN
ejpam-3848	211	3	.	.	PUNCT
ejpam-3848	211	4	the	the	DET
ejpam-3848	211	5	deviating	deviating	ADJ
ejpam-3848	211	6	function	function	NOUN
ejpam-3848	211	7	β(t	β(t	PROPN
ejpam-3848	211	8	)	)	PUNCT
ejpam-3848	211	9	=	=	SYM
ejpam-3848	211	10	ηk	ηk	PROPN
ejpam-3848	211	11	,	,	PUNCT
ejpam-3848	211	12	σ	σ	PROPN
ejpam-3848	211	13	is	be	AUX
ejpam-3848	211	14	the	the	DET
ejpam-3848	211	15	interference	interference	NOUN
ejpam-3848	211	16	intensity	intensity	NOUN
ejpam-3848	211	17	,	,	PUNCT
ejpam-3848	211	18	and	and	CCONJ
ejpam-3848	211	19	ω(t	ω(t	NOUN
ejpam-3848	211	20	)	)	PUNCT
ejpam-3848	211	21	is	be	AUX
ejpam-3848	211	22	a	a	DET
ejpam-3848	211	23	brownian	brownian	ADJ
ejpam-3848	211	24	motion	motion	NOUN
ejpam-3848	211	25	.	.	PUNCT
ejpam-3848	212	1	let	let	VERB
ejpam-3848	212	2	ρ	ρ	NOUN
ejpam-3848	212	3	=	=	SYM
ejpam-3848	212	4	1	1	NUM
ejpam-3848	212	5	≥	≥	NOUN
ejpam-3848	212	6	ln(1.2	ln(1.2	PROPN
ejpam-3848	212	7	)	)	PUNCT
ejpam-3848	212	8	0.9	0.9	NUM
ejpam-3848	212	9	=	=	SYM
ejpam-3848	212	10	0.2026	0.2026	NUM
ejpam-3848	212	11	,	,	PUNCT
ejpam-3848	212	12	k	k	X
ejpam-3848	213	1	=	=	PUNCT
ejpam-3848	213	2	0.01	0.01	NUM
ejpam-3848	213	3	,	,	PUNCT
ejpam-3848	213	4	λ1	λ1	ADJ
ejpam-3848	213	5	=	=	SYM
ejpam-3848	213	6	1	1	NUM
ejpam-3848	213	7	3	3	NUM
ejpam-3848	213	8	,	,	PUNCT
ejpam-3848	213	9	λ̄i	λ̄i	NOUN
ejpam-3848	213	10	=	=	SYM
ejpam-3848	213	11	1	1	NUM
ejpam-3848	213	12	4	4	NUM
ejpam-3848	213	13	,	,	PUNCT
ejpam-3848	213	14	substituting	substitute	VERB
ejpam-3848	213	15	them	they	PRON
ejpam-3848	213	16	into	into	ADP
ejpam-3848	213	17	(	(	PUNCT
ejpam-3848	213	18	12	12	NUM
ejpam-3848	213	19	)	)	PUNCT
ejpam-3848	213	20	and	and	CCONJ
ejpam-3848	213	21	(	(	PUNCT
ejpam-3848	213	22	13	13	NUM
ejpam-3848	213	23	)	)	PUNCT
ejpam-3848	213	24	,	,	PUNCT
ejpam-3848	213	25	then	then	ADV
ejpam-3848	213	26	we	we	PRON
ejpam-3848	213	27	get	get	VERB
ejpam-3848	213	28	σ̄	σ̄	X
ejpam-3848	213	29	=	=	SYM
ejpam-3848	213	30	0.0468	0.0468	NUM
ejpam-3848	213	31	.	.	PUNCT
ejpam-3848	214	1	from	from	ADP
ejpam-3848	214	2	|σ|	|σ|	PROPN
ejpam-3848	214	3	<	<	X
ejpam-3848	214	4	σ̄√	σ̄√	PROPN
ejpam-3848	214	5	2	2	NUM
ejpam-3848	214	6	,	,	PUNCT
ejpam-3848	214	7	we	we	PRON
ejpam-3848	214	8	know	know	VERB
ejpam-3848	214	9	that	that	SCONJ
ejpam-3848	214	10	|σ|	|σ|	PROPN
ejpam-3848	214	11	<	<	X
ejpam-3848	214	12	0.0325	0.0325	NUM
ejpam-3848	214	13	.	.	PUNCT
ejpam-3848	215	1	in	in	ADP
ejpam-3848	215	2	reference	reference	NOUN
ejpam-3848	215	3	z.	z.	PROPN
ejpam-3848	215	4	mingxin	mingxin	PROPN
ejpam-3848	215	5	,	,	PUNCT
ejpam-3848	215	6	x.	x.	PROPN
ejpam-3848	215	7	tao	tao	PROPN
ejpam-3848	215	8	,	,	PUNCT
ejpam-3848	215	9	s.	s.	PROPN
ejpam-3848	215	10	wenxiao	wenxiao	PROPN
ejpam-3848	215	11	/	/	SYM
ejpam-3848	215	12	eur	eur	PROPN
ejpam-3848	215	13	.	.	PUNCT
ejpam-3848	216	1	j.	j.	PROPN
ejpam-3848	216	2	pure	pure	PROPN
ejpam-3848	216	3	appl	appl	PROPN
ejpam-3848	216	4	.	.	PROPN
ejpam-3848	216	5	math	math	PROPN
ejpam-3848	216	6	,	,	PUNCT
ejpam-3848	216	7	13	13	NUM
ejpam-3848	216	8	(	(	PUNCT
ejpam-3848	216	9	4	4	NUM
ejpam-3848	216	10	)	)	PUNCT
ejpam-3848	216	11	(	(	PUNCT
ejpam-3848	216	12	2020	2020	NUM
ejpam-3848	216	13	)	)	PUNCT
ejpam-3848	216	14	,	,	PUNCT
ejpam-3848	216	15	794	794	X
ejpam-3848	216	16	-	-	SYM
ejpam-3848	216	17	806	806	NUM
ejpam-3848	216	18	803	803	NUM
ejpam-3848	216	19	0	0	NUM
ejpam-3848	216	20	2	2	NUM
ejpam-3848	216	21	4	4	NUM
ejpam-3848	216	22	6	6	NUM
ejpam-3848	216	23	8	8	NUM
ejpam-3848	216	24	10	10	NUM
ejpam-3848	216	25	−0.5	−0.5	NUM
ejpam-3848	216	26	−0.4	−0.4	NUM
ejpam-3848	217	1	−0.3	−0.3	NOUN
ejpam-3848	217	2	−0.2	−0.2	PROPN
ejpam-3848	218	1	−0.1	−0.1	NOUN
ejpam-3848	218	2	0	0	NUM
ejpam-3848	218	3	0.1	0.1	NUM
ejpam-3848	218	4	0.2	0.2	NUM
ejpam-3848	218	5	0.3	0.3	NUM
ejpam-3848	218	6	0.4	0.4	NUM
ejpam-3848	218	7	0.5	0.5	NUM
ejpam-3848	218	8	t	t	PROPN
ejpam-3848	218	9	y	y	PROPN
ejpam-3848	218	10	y(1	y(1	PROPN
ejpam-3848	218	11	)	)	PUNCT
ejpam-3848	218	12	y(2	y(2	PROPN
ejpam-3848	218	13	)	)	PUNCT
ejpam-3848	218	14	figure	figure	NOUN
ejpam-3848	218	15	1	1	NUM
ejpam-3848	218	16	:	:	PUNCT
ejpam-3848	218	17	stability	stability	NOUN
ejpam-3848	218	18	behavior	behavior	NOUN
ejpam-3848	218	19	of	of	ADP
ejpam-3848	218	20	system	system	NOUN
ejpam-3848	218	21	(	(	PUNCT
ejpam-3848	218	22	26	26	NUM
ejpam-3848	218	23	)	)	PUNCT
ejpam-3848	218	24	0	0	NUM
ejpam-3848	218	25	1	1	NUM
ejpam-3848	218	26	2	2	NUM
ejpam-3848	218	27	3	3	NUM
ejpam-3848	218	28	4	4	NUM
ejpam-3848	218	29	5	5	NUM
ejpam-3848	218	30	−1	−1	NOUN
ejpam-3848	218	31	−0.8	−0.8	ADV
ejpam-3848	218	32	−0.6	−0.6	PROPN
ejpam-3848	218	33	−0.4	−0.4	PUNCT
ejpam-3848	219	1	−0.2	−0.2	PROPN
ejpam-3848	219	2	0	0	NUM
ejpam-3848	220	1	0.2	0.2	NUM
ejpam-3848	220	2	0.4	0.4	NUM
ejpam-3848	220	3	0.6	0.6	NUM
ejpam-3848	220	4	0.8	0.8	NUM
ejpam-3848	220	5	1	1	NUM
ejpam-3848	220	6	t	t	PROPN
ejpam-3848	220	7	y	y	PROPN
ejpam-3848	220	8	y(1	y(1	PROPN
ejpam-3848	220	9	)	)	PUNCT
ejpam-3848	220	10	y(2	y(2	PROPN
ejpam-3848	220	11	)	)	PUNCT
ejpam-3848	220	12	figure	figure	NOUN
ejpam-3848	220	13	2	2	NUM
ejpam-3848	220	14	:	:	PUNCT
ejpam-3848	220	15	stability	stability	NOUN
ejpam-3848	220	16	behavior	behavior	NOUN
ejpam-3848	220	17	of	of	ADP
ejpam-3848	220	18	rnn	rnn	PROPN
ejpam-3848	220	19	(	(	PUNCT
ejpam-3848	220	20	27	27	NUM
ejpam-3848	220	21	)	)	PUNCT
ejpam-3848	220	22	0	0	NUM
ejpam-3848	220	23	100	100	NUM
ejpam-3848	220	24	200	200	NUM
ejpam-3848	220	25	300	300	NUM
ejpam-3848	220	26	400	400	NUM
ejpam-3848	220	27	500	500	NUM
ejpam-3848	220	28	−150	−150	ADJ
ejpam-3848	220	29	−100	−100	NOUN
ejpam-3848	220	30	−50	−50	NOUN
ejpam-3848	220	31	0	0	NUM
ejpam-3848	220	32	50	50	NUM
ejpam-3848	220	33	100	100	NUM
ejpam-3848	220	34	150	150	NUM
ejpam-3848	220	35	t	t	NOUN
ejpam-3848	220	36	y	y	PROPN
ejpam-3848	220	37	y1	y1	NOUN
ejpam-3848	220	38	y2	y2	NOUN
ejpam-3848	220	39	figure	figure	NOUN
ejpam-3848	220	40	3	3	NUM
ejpam-3848	220	41	:	:	PUNCT
ejpam-3848	220	42	instability	instability	NOUN
ejpam-3848	220	43	behavior	behavior	NOUN
ejpam-3848	220	44	of	of	ADP
ejpam-3848	220	45	rnn	rnn	PROPN
ejpam-3848	220	46	(	(	PUNCT
ejpam-3848	220	47	27	27	NUM
ejpam-3848	220	48	)	)	PUNCT
ejpam-3848	221	1	[	[	X
ejpam-3848	221	2	26	26	NUM
ejpam-3848	221	3	]	]	PUNCT
ejpam-3848	221	4	,	,	PUNCT
ejpam-3848	221	5	the	the	DET
ejpam-3848	221	6	upper	upper	ADJ
ejpam-3848	221	7	bound	bound	NOUN
ejpam-3848	221	8	of	of	ADP
ejpam-3848	221	9	the	the	DET
ejpam-3848	221	10	|σ|	|σ|	PROPN
ejpam-3848	221	11	is	be	AUX
ejpam-3848	221	12	0.0265	0.0265	NUM
ejpam-3848	221	13	,	,	PUNCT
ejpam-3848	221	14	which	which	PRON
ejpam-3848	221	15	is	be	AUX
ejpam-3848	221	16	smaller	small	ADJ
ejpam-3848	221	17	than	than	ADP
ejpam-3848	221	18	0.0325	0.0325	NUM
ejpam-3848	221	19	.	.	PUNCT
ejpam-3848	222	1	this	this	PRON
ejpam-3848	222	2	means	mean	VERB
ejpam-3848	222	3	that	that	SCONJ
ejpam-3848	222	4	the	the	DET
ejpam-3848	222	5	system	system	NOUN
ejpam-3848	222	6	(	(	PUNCT
ejpam-3848	222	7	27	27	NUM
ejpam-3848	222	8	)	)	PUNCT
ejpam-3848	222	9	can	can	AUX
ejpam-3848	222	10	withstand	withstand	VERB
ejpam-3848	222	11	higher	high	ADJ
ejpam-3848	222	12	intensity	intensity	NOUN
ejpam-3848	222	13	random	random	ADJ
ejpam-3848	222	14	disturbance	disturbance	NOUN
ejpam-3848	222	15	than	than	ADP
ejpam-3848	222	16	the	the	DET
ejpam-3848	222	17	system	system	NOUN
ejpam-3848	222	18	in	in	ADP
ejpam-3848	222	19	[	[	X
ejpam-3848	222	20	26	26	NUM
ejpam-3848	222	21	]	]	PUNCT
ejpam-3848	222	22	.	.	PUNCT
ejpam-3848	223	1	moreover	moreover	ADV
ejpam-3848	223	2	,	,	PUNCT
ejpam-3848	223	3	by	by	ADP
ejpam-3848	223	4	substituting	substitute	VERB
ejpam-3848	223	5	those	those	DET
ejpam-3848	223	6	parameters	parameter	NOUN
ejpam-3848	223	7	in	in	ADP
ejpam-3848	223	8	(	(	PUNCT
ejpam-3848	223	9	13	13	NUM
ejpam-3848	223	10	)	)	PUNCT
ejpam-3848	223	11	,	,	PUNCT
ejpam-3848	223	12	we	we	PRON
ejpam-3848	223	13	have	have	VERB
ejpam-3848	223	14	ᾱ	ᾱ	NOUN
ejpam-3848	223	15	=	=	SYM
ejpam-3848	223	16	25.3565	25.3565	NUM
ejpam-3848	223	17	.	.	PUNCT
ejpam-3848	224	1	note	note	VERB
ejpam-3848	224	2	that	that	SCONJ
ejpam-3848	224	3	α	α	PRON
ejpam-3848	224	4	<	<	X
ejpam-3848	224	5	min(ρ2	min(ρ2	NOUN
ejpam-3848	224	6	,	,	PUNCT
ejpam-3848	224	7	ᾱ	ᾱ	NOUN
ejpam-3848	224	8	)	)	PUNCT
ejpam-3848	224	9	,	,	PUNCT
ejpam-3848	224	10	then	then	ADV
ejpam-3848	224	11	α	α	X
ejpam-3848	224	12	<	<	X
ejpam-3848	224	13	0.1013	0.1013	NUM
ejpam-3848	224	14	.	.	PUNCT
ejpam-3848	225	1	in	in	ADP
ejpam-3848	225	2	the	the	DET
ejpam-3848	225	3	example	example	NOUN
ejpam-3848	225	4	2	2	NUM
ejpam-3848	225	5	of	of	ADP
ejpam-3848	225	6	[	[	X
ejpam-3848	225	7	26	26	NUM
ejpam-3848	225	8	]	]	PUNCT
ejpam-3848	225	9	,	,	PUNCT
ejpam-3848	225	10	α	α	X
ejpam-3848	225	11	<	<	X
ejpam-3848	225	12	0.0159	0.0159	NUM
ejpam-3848	225	13	,	,	PUNCT
ejpam-3848	225	14	which	which	PRON
ejpam-3848	225	15	is	be	AUX
ejpam-3848	225	16	smaller	small	ADJ
ejpam-3848	225	17	than	than	ADP
ejpam-3848	225	18	0.1013	0.1013	NUM
ejpam-3848	225	19	.	.	PUNCT
ejpam-3848	226	1	this	this	PRON
ejpam-3848	226	2	shows	show	VERB
ejpam-3848	226	3	that	that	SCONJ
ejpam-3848	226	4	the	the	DET
ejpam-3848	226	5	system	system	NOUN
ejpam-3848	226	6	(	(	PUNCT
ejpam-3848	226	7	27	27	NUM
ejpam-3848	226	8	)	)	PUNCT
ejpam-3848	226	9	has	have	VERB
ejpam-3848	226	10	wider	wide	ADJ
ejpam-3848	226	11	range	range	NOUN
ejpam-3848	226	12	of	of	ADP
ejpam-3848	226	13	piecewise	piecewise	NOUN
ejpam-3848	226	14	argument	argument	NOUN
ejpam-3848	226	15	and	and	CCONJ
ejpam-3848	226	16	implies	imply	VERB
ejpam-3848	226	17	that	that	SCONJ
ejpam-3848	226	18	the	the	DET
ejpam-3848	226	19	system	system	NOUN
ejpam-3848	226	20	(	(	PUNCT
ejpam-3848	226	21	27	27	NUM
ejpam-3848	226	22	)	)	PUNCT
ejpam-3848	226	23	can	can	AUX
ejpam-3848	226	24	withstand	withstand	VERB
ejpam-3848	226	25	higher	high	ADJ
ejpam-3848	226	26	intensity	intensity	NOUN
ejpam-3848	226	27	of	of	ADP
ejpam-3848	226	28	impact	impact	NOUN
ejpam-3848	226	29	from	from	ADP
ejpam-3848	226	30	time	time	NOUN
ejpam-3848	226	31	delay	delay	NOUN
ejpam-3848	226	32	or	or	CCONJ
ejpam-3848	226	33	advance	advance	NOUN
ejpam-3848	226	34	.	.	PUNCT
ejpam-3848	227	1	figure	figure	NOUN
ejpam-3848	227	2	2	2	NUM
ejpam-3848	227	3	describes	describe	VERB
ejpam-3848	227	4	the	the	DET
ejpam-3848	227	5	stability	stability	NOUN
ejpam-3848	227	6	performance	performance	NOUN
ejpam-3848	227	7	of	of	ADP
ejpam-3848	227	8	(	(	PUNCT
ejpam-3848	227	9	27	27	NUM
ejpam-3848	227	10	)	)	PUNCT
ejpam-3848	227	11	with	with	ADP
ejpam-3848	227	12	σ	σ	PROPN
ejpam-3848	227	13	=	=	SYM
ejpam-3848	227	14	0.04	0.04	NUM
ejpam-3848	227	15	,	,	PUNCT
ejpam-3848	227	16	{	{	PUNCT
ejpam-3848	227	17	αk	αk	NOUN
ejpam-3848	227	18	}	}	PUNCT
ejpam-3848	227	19	=	=	SYM
ejpam-3848	227	20	{	{	PUNCT
ejpam-3848	227	21	k	k	NOUN
ejpam-3848	227	22	100	100	NUM
ejpam-3848	227	23	}	}	PUNCT
ejpam-3848	227	24	,	,	PUNCT
ejpam-3848	227	25	{	{	PUNCT
ejpam-3848	227	26	ηk	ηk	VERB
ejpam-3848	227	27	}	}	PUNCT
ejpam-3848	227	28	=	=	PUNCT
ejpam-3848	227	29	{	{	PUNCT
ejpam-3848	227	30	2k+1	2k+1	NUM
ejpam-3848	227	31	200	200	NUM
ejpam-3848	227	32	}	}	PUNCT
ejpam-3848	227	33	,	,	PUNCT
ejpam-3848	227	34	k	k	PROPN
ejpam-3848	227	35	∈	∈	PROPN
ejpam-3848	227	36	n.	n.	PROPN
ejpam-3848	227	37	figure	figure	NOUN
ejpam-3848	227	38	3	3	NUM
ejpam-3848	227	39	illustrates	illustrate	VERB
ejpam-3848	227	40	a	a	DET
ejpam-3848	227	41	degenerative	degenerative	ADJ
ejpam-3848	227	42	performance	performance	NOUN
ejpam-3848	227	43	of	of	ADP
ejpam-3848	227	44	rnn	rnn	PROPN
ejpam-3848	227	45	(	(	PUNCT
ejpam-3848	227	46	27	27	NUM
ejpam-3848	227	47	)	)	PUNCT
ejpam-3848	227	48	for	for	ADP
ejpam-3848	227	49	σ	σ	PROPN
ejpam-3848	227	50	=	=	SYM
ejpam-3848	227	51	1	1	NUM
ejpam-3848	227	52	,	,	PUNCT
ejpam-3848	227	53	{	{	PUNCT
ejpam-3848	227	54	αk	αk	NOUN
ejpam-3848	227	55	}	}	PUNCT
ejpam-3848	227	56	=	=	SYM
ejpam-3848	227	57	{	{	PUNCT
ejpam-3848	227	58	k	k	NOUN
ejpam-3848	227	59	100	100	NUM
ejpam-3848	227	60	}	}	PUNCT
ejpam-3848	227	61	,	,	PUNCT
ejpam-3848	227	62	{	{	PUNCT
ejpam-3848	227	63	ηk	ηk	VERB
ejpam-3848	227	64	}	}	PUNCT
ejpam-3848	227	65	=	=	PUNCT
ejpam-3848	227	66	{	{	PUNCT
ejpam-3848	227	67	2k+1	2k+1	NUM
ejpam-3848	227	68	200	200	NUM
ejpam-3848	227	69	}	}	PUNCT
ejpam-3848	227	70	,	,	PUNCT
ejpam-3848	227	71	k	k	PROPN
ejpam-3848	227	72	∈	∈	PROPN
ejpam-3848	227	73	n.	n.	NOUN
ejpam-3848	227	74	certainly	certainly	ADV
ejpam-3848	227	75	,	,	PUNCT
ejpam-3848	227	76	in	in	ADP
ejpam-3848	227	77	this	this	DET
ejpam-3848	227	78	respect	respect	NOUN
ejpam-3848	227	79	,	,	PUNCT
ejpam-3848	227	80	these	these	DET
ejpam-3848	227	81	parameters	parameter	NOUN
ejpam-3848	227	82	of	of	ADP
ejpam-3848	227	83	the	the	DET
ejpam-3848	227	84	conditions	condition	NOUN
ejpam-3848	227	85	in	in	ADP
ejpam-3848	227	86	theorem	theorem	NOUN
ejpam-3848	227	87	(	(	PUNCT
ejpam-3848	227	88	1	1	NUM
ejpam-3848	227	89	)	)	PUNCT
ejpam-3848	227	90	were	be	AUX
ejpam-3848	227	91	no	no	ADV
ejpam-3848	227	92	longer	long	ADV
ejpam-3848	227	93	effective	effective	ADJ
ejpam-3848	227	94	,	,	PUNCT
ejpam-3848	227	95	the	the	DET
ejpam-3848	227	96	system	system	NOUN
ejpam-3848	227	97	will	will	AUX
ejpam-3848	227	98	involve	involve	VERB
ejpam-3848	227	99	into	into	ADP
ejpam-3848	227	100	unstable	unstable	ADJ
ejpam-3848	227	101	.	.	PUNCT
ejpam-3848	228	1	5	5	X
ejpam-3848	228	2	.	.	X
ejpam-3848	228	3	conclusion	conclusion	NOUN
ejpam-3848	228	4	this	this	DET
ejpam-3848	228	5	paper	paper	NOUN
ejpam-3848	228	6	investigates	investigate	VERB
ejpam-3848	228	7	global	global	ADJ
ejpam-3848	228	8	robust	robust	ADJ
ejpam-3848	228	9	exponential	exponential	ADJ
ejpam-3848	228	10	stability	stability	NOUN
ejpam-3848	228	11	of	of	ADP
ejpam-3848	228	12	recurrent	recurrent	ADJ
ejpam-3848	228	13	neural	neural	ADJ
ejpam-3848	228	14	networks	network	NOUN
ejpam-3848	228	15	with	with	ADP
ejpam-3848	228	16	piecewise	piecewise	NOUN
ejpam-3848	228	17	argument	argument	NOUN
ejpam-3848	228	18	and	and	CCONJ
ejpam-3848	228	19	arbitrary	arbitrary	ADJ
ejpam-3848	228	20	disturbance	disturbance	NOUN
ejpam-3848	228	21	.	.	PUNCT
ejpam-3848	229	1	the	the	DET
ejpam-3848	229	2	upper	upper	ADJ
ejpam-3848	229	3	bound	bind	VERB
ejpam-3848	229	4	of	of	ADP
ejpam-3848	229	5	perturbation	perturbation	NOUN
ejpam-3848	229	6	intensity	intensity	NOUN
ejpam-3848	229	7	is	be	AUX
ejpam-3848	229	8	estimated	estimate	VERB
ejpam-3848	229	9	by	by	ADP
ejpam-3848	229	10	using	use	VERB
ejpam-3848	229	11	inequalities	inequality	NOUN
ejpam-3848	229	12	and	and	CCONJ
ejpam-3848	229	13	transcendental	transcendental	ADJ
ejpam-3848	229	14	equations	equation	NOUN
ejpam-3848	229	15	with	with	ADP
ejpam-3848	229	16	restricted	restricted	ADJ
ejpam-3848	229	17	references	reference	NOUN
ejpam-3848	229	18	804	804	NUM
ejpam-3848	229	19	parameters	parameter	NOUN
ejpam-3848	229	20	.	.	PUNCT
ejpam-3848	230	1	the	the	DET
ejpam-3848	230	2	theoretical	theoretical	ADJ
ejpam-3848	230	3	results	result	NOUN
ejpam-3848	230	4	of	of	ADP
ejpam-3848	230	5	this	this	DET
ejpam-3848	230	6	paper	paper	NOUN
ejpam-3848	230	7	provide	provide	VERB
ejpam-3848	230	8	a	a	DET
ejpam-3848	230	9	reliable	reliable	ADJ
ejpam-3848	230	10	basis	basis	NOUN
ejpam-3848	230	11	for	for	ADP
ejpam-3848	230	12	the	the	DET
ejpam-3848	230	13	application	application	NOUN
ejpam-3848	230	14	and	and	CCONJ
ejpam-3848	230	15	design	design	NOUN
ejpam-3848	230	16	of	of	ADP
ejpam-3848	230	17	rnns	rnn	NOUN
ejpam-3848	230	18	.	.	PUNCT
ejpam-3848	231	1	the	the	DET
ejpam-3848	231	2	authors	author	NOUN
ejpam-3848	231	3	would	would	AUX
ejpam-3848	231	4	like	like	VERB
ejpam-3848	231	5	to	to	PART
ejpam-3848	231	6	search	search	VERB
ejpam-3848	231	7	for	for	ADP
ejpam-3848	231	8	larger	large	ADJ
ejpam-3848	231	9	upper	upper	ADJ
ejpam-3848	231	10	bounds	bound	NOUN
ejpam-3848	231	11	of	of	ADP
ejpam-3848	231	12	deviating	deviate	VERB
ejpam-3848	231	13	variables	variable	NOUN
ejpam-3848	231	14	and	and	CCONJ
ejpam-3848	231	15	improve	improve	VERB
ejpam-3848	231	16	the	the	DET
ejpam-3848	231	17	interference	interference	NOUN
ejpam-3848	231	18	intensity	intensity	NOUN
ejpam-3848	231	19	such	such	ADJ
ejpam-3848	231	20	that	that	SCONJ
ejpam-3848	231	21	the	the	DET
ejpam-3848	231	22	system	system	NOUN
ejpam-3848	231	23	remains	remain	VERB
ejpam-3848	231	24	stable	stable	ADJ
ejpam-3848	231	25	.	.	PUNCT
ejpam-3848	232	1	the	the	DET
ejpam-3848	232	2	treatment	treatment	NOUN
ejpam-3848	232	3	methods	method	NOUN
ejpam-3848	232	4	in	in	ADP
ejpam-3848	232	5	this	this	DET
ejpam-3848	232	6	paper	paper	NOUN
ejpam-3848	232	7	can	can	AUX
ejpam-3848	232	8	provide	provide	VERB
ejpam-3848	232	9	references	reference	NOUN
ejpam-3848	232	10	for	for	ADP
ejpam-3848	232	11	more	more	ADJ
ejpam-3848	232	12	flexible	flexible	ADJ
ejpam-3848	232	13	control	control	NOUN
ejpam-3848	232	14	systems	system	NOUN
ejpam-3848	232	15	.	.	PUNCT
ejpam-3848	233	1	future	future	ADJ
ejpam-3848	233	2	work	work	NOUN
ejpam-3848	233	3	will	will	AUX
ejpam-3848	233	4	extend	extend	VERB
ejpam-3848	233	5	the	the	DET
ejpam-3848	233	6	results	result	NOUN
ejpam-3848	233	7	to	to	ADP
ejpam-3848	233	8	the	the	DET
ejpam-3848	233	9	multi	multi	NOUN
ejpam-3848	233	10	-	-	NOUN
ejpam-3848	233	11	stability	stability	NOUN
ejpam-3848	233	12	of	of	ADP
ejpam-3848	233	13	bidirectional	bidirectional	ADJ
ejpam-3848	233	14	associative	associative	ADJ
ejpam-3848	233	15	memory	memory	NOUN
ejpam-3848	233	16	neural	neural	ADJ
ejpam-3848	233	17	networks	network	NOUN
ejpam-3848	233	18	or	or	CCONJ
ejpam-3848	233	19	fuzzy	fuzzy	ADJ
ejpam-3848	233	20	neural	neural	ADJ
ejpam-3848	233	21	networks	network	NOUN
ejpam-3848	233	22	in	in	ADP
ejpam-3848	233	23	the	the	DET
ejpam-3848	233	24	presence	presence	NOUN
ejpam-3848	233	25	of	of	ADP
ejpam-3848	233	26	deviating	deviate	VERB
ejpam-3848	233	27	arguments	argument	NOUN
ejpam-3848	233	28	and	and	CCONJ
ejpam-3848	233	29	random	random	ADJ
ejpam-3848	233	30	disturbances	disturbance	NOUN
ejpam-3848	233	31	.	.	PUNCT
ejpam-3848	234	1	the	the	DET
ejpam-3848	234	2	main	main	ADJ
ejpam-3848	234	3	problem	problem	NOUN
ejpam-3848	234	4	is	be	AUX
ejpam-3848	234	5	the	the	DET
ejpam-3848	234	6	construction	construction	NOUN
ejpam-3848	234	7	of	of	ADP
ejpam-3848	234	8	the	the	DET
ejpam-3848	234	9	relationship	relationship	NOUN
ejpam-3848	234	10	between	between	ADP
ejpam-3848	234	11	piecewise	piecewise	NOUN
ejpam-3848	234	12	deviating	deviate	VERB
ejpam-3848	234	13	variables	variable	NOUN
ejpam-3848	234	14	and	and	CCONJ
ejpam-3848	234	15	system	system	NOUN
ejpam-3848	234	16	solution	solution	NOUN
ejpam-3848	234	17	vectors	vector	NOUN
ejpam-3848	234	18	in	in	ADP
ejpam-3848	234	19	neural	neural	ADJ
ejpam-3848	234	20	networks	network	NOUN
ejpam-3848	234	21	.	.	PUNCT
ejpam-3848	235	1	references	reference	NOUN
ejpam-3848	235	2	[	[	X
ejpam-3848	235	3	1	1	NUM
ejpam-3848	235	4	]	]	X
ejpam-3848	235	5	m	m	VERB
ejpam-3848	235	6	syed	syed	PROPN
ejpam-3848	235	7	ali	ali	PROPN
ejpam-3848	235	8	,	,	PUNCT
ejpam-3848	235	9	g	g	PROPN
ejpam-3848	235	10	narayanan	narayanan	PROPN
ejpam-3848	235	11	,	,	PUNCT
ejpam-3848	235	12	v	v	ADP
ejpam-3848	235	13	shekher	shekher	ADV
ejpam-3848	235	14	,	,	PUNCT
ejpam-3848	235	15	h	h	NOUN
ejpam-3848	235	16	alsulami	alsulami	NOUN
ejpam-3848	235	17	,	,	PUNCT
ejpam-3848	235	18	and	and	CCONJ
ejpam-3848	235	19	t	t	PROPN
ejpam-3848	235	20	saeed	saeed	PROPN
ejpam-3848	235	21	.	.	PUNCT
ejpam-3848	236	1	dynamic	dynamic	ADJ
ejpam-3848	236	2	stability	stability	NOUN
ejpam-3848	236	3	analysis	analysis	NOUN
ejpam-3848	236	4	of	of	ADP
ejpam-3848	236	5	stochastic	stochastic	ADJ
ejpam-3848	236	6	fractional	fractional	ADJ
ejpam-3848	236	7	-	-	PUNCT
ejpam-3848	236	8	order	order	NOUN
ejpam-3848	236	9	memristor	memristor	NOUN
ejpam-3848	236	10	fuzzy	fuzzy	ADJ
ejpam-3848	236	11	bam	bam	NOUN
ejpam-3848	236	12	neural	neural	ADJ
ejpam-3848	236	13	networks	network	NOUN
ejpam-3848	236	14	with	with	ADP
ejpam-3848	236	15	delay	delay	NOUN
ejpam-3848	236	16	and	and	CCONJ
ejpam-3848	236	17	leakage	leakage	NOUN
ejpam-3848	236	18	terms	term	NOUN
ejpam-3848	236	19	.	.	PUNCT
ejpam-3848	237	1	applied	apply	VERB
ejpam-3848	237	2	mathematics	mathematic	NOUN
ejpam-3848	237	3	and	and	CCONJ
ejpam-3848	237	4	computation	computation	NOUN
ejpam-3848	237	5	,	,	PUNCT
ejpam-3848	237	6	369:124896	369:124896	NUM
ejpam-3848	237	7	,	,	PUNCT
ejpam-3848	237	8	2020	2020	NUM
ejpam-3848	237	9	.	.	PUNCT
ejpam-3848	238	1	[	[	X
ejpam-3848	238	2	2	2	NUM
ejpam-3848	238	3	]	]	X
ejpam-3848	238	4	c	c	NOUN
ejpam-3848	238	5	aouiti	aouiti	NOUN
ejpam-3848	238	6	and	and	CCONJ
ejpam-3848	238	7	e	e	PROPN
ejpam-3848	238	8	abed	abed	PROPN
ejpam-3848	238	9	assali	assali	PROPN
ejpam-3848	238	10	.	.	PUNCT
ejpam-3848	239	1	stability	stability	NOUN
ejpam-3848	239	2	analysis	analysis	NOUN
ejpam-3848	239	3	for	for	ADP
ejpam-3848	239	4	a	a	DET
ejpam-3848	239	5	class	class	NOUN
ejpam-3848	239	6	of	of	ADP
ejpam-3848	239	7	impulsive	impulsive	ADJ
ejpam-3848	239	8	bidirectional	bidirectional	ADJ
ejpam-3848	239	9	associative	associative	NOUN
ejpam-3848	239	10	memory	memory	NOUN
ejpam-3848	239	11	(	(	PUNCT
ejpam-3848	239	12	bam	bam	NOUN
ejpam-3848	239	13	)	)	PUNCT
ejpam-3848	239	14	neural	neural	ADJ
ejpam-3848	239	15	networks	network	NOUN
ejpam-3848	239	16	with	with	ADP
ejpam-3848	239	17	distributed	distribute	VERB
ejpam-3848	239	18	delays	delay	NOUN
ejpam-3848	239	19	and	and	CCONJ
ejpam-3848	239	20	leakage	leakage	NOUN
ejpam-3848	239	21	timevarying	timevarying	NOUN
ejpam-3848	239	22	delays	delay	NOUN
ejpam-3848	239	23	.	.	PUNCT
ejpam-3848	240	1	neural	neural	ADJ
ejpam-3848	240	2	processing	processing	NOUN
ejpam-3848	240	3	letters	letter	NOUN
ejpam-3848	240	4	,	,	PUNCT
ejpam-3848	240	5	50(1):851–885	50(1):851–885	NUM
ejpam-3848	240	6	,	,	PUNCT
ejpam-3848	240	7	2019	2019	NUM
ejpam-3848	240	8	.	.	PUNCT
ejpam-3848	241	1	[	[	X
ejpam-3848	241	2	3	3	X
ejpam-3848	241	3	]	]	X
ejpam-3848	241	4	j	j	PROPN
ejpam-3848	241	5	cao	cao	PROPN
ejpam-3848	241	6	and	and	CCONJ
ejpam-3848	241	7	j	j	PROPN
ejpam-3848	241	8	wang	wang	PROPN
ejpam-3848	241	9	.	.	PUNCT
ejpam-3848	242	1	global	global	ADJ
ejpam-3848	242	2	asymptotic	asymptotic	ADJ
ejpam-3848	242	3	stability	stability	NOUN
ejpam-3848	242	4	of	of	ADP
ejpam-3848	242	5	a	a	DET
ejpam-3848	242	6	general	general	ADJ
ejpam-3848	242	7	class	class	NOUN
ejpam-3848	242	8	of	of	ADP
ejpam-3848	242	9	recurrent	recurrent	ADJ
ejpam-3848	242	10	neural	neural	ADJ
ejpam-3848	242	11	networks	network	NOUN
ejpam-3848	242	12	with	with	ADP
ejpam-3848	242	13	time	time	NOUN
ejpam-3848	242	14	-	-	PUNCT
ejpam-3848	242	15	varying	vary	VERB
ejpam-3848	242	16	delays	delay	NOUN
ejpam-3848	242	17	.	.	PUNCT
ejpam-3848	243	1	ieee	ieee	NOUN
ejpam-3848	243	2	transactions	transaction	NOUN
ejpam-3848	243	3	on	on	ADP
ejpam-3848	243	4	circuits	circuit	NOUN
ejpam-3848	243	5	and	and	CCONJ
ejpam-3848	243	6	systems	system	NOUN
ejpam-3848	243	7	i	i	PRON
ejpam-3848	243	8	:	:	PUNCT
ejpam-3848	243	9	fundamental	fundamental	ADJ
ejpam-3848	243	10	theory	theory	NOUN
ejpam-3848	243	11	and	and	CCONJ
ejpam-3848	243	12	applications	application	NOUN
ejpam-3848	243	13	,	,	PUNCT
ejpam-3848	243	14	50(1):34–44	50(1):34–44	NUM
ejpam-3848	243	15	,	,	PUNCT
ejpam-3848	243	16	2003	2003	NUM
ejpam-3848	243	17	.	.	PUNCT
ejpam-3848	244	1	[	[	X
ejpam-3848	244	2	4	4	X
ejpam-3848	244	3	]	]	PUNCT
ejpam-3848	244	4	t	t	PROPN
ejpam-3848	244	5	chen	chen	PROPN
ejpam-3848	244	6	.	.	PUNCT
ejpam-3848	245	1	global	global	ADJ
ejpam-3848	245	2	exponential	exponential	ADJ
ejpam-3848	245	3	stability	stability	NOUN
ejpam-3848	245	4	of	of	ADP
ejpam-3848	245	5	delayed	delay	VERB
ejpam-3848	245	6	hopfield	hopfield	ADJ
ejpam-3848	245	7	neural	neural	ADJ
ejpam-3848	245	8	networks	network	NOUN
ejpam-3848	245	9	.	.	PUNCT
ejpam-3848	246	1	neural	neural	ADJ
ejpam-3848	246	2	networks	network	NOUN
ejpam-3848	246	3	,	,	PUNCT
ejpam-3848	246	4	14(8):977–980	14(8):977–980	PROPN
ejpam-3848	246	5	,	,	PUNCT
ejpam-3848	246	6	2001	2001	NUM
ejpam-3848	246	7	.	.	PUNCT
ejpam-3848	247	1	[	[	X
ejpam-3848	247	2	5	5	NUM
ejpam-3848	247	3	]	]	X
ejpam-3848	247	4	m	m	VERB
ejpam-3848	247	5	a	a	DET
ejpam-3848	247	6	cohen	cohen	PROPN
ejpam-3848	247	7	and	and	CCONJ
ejpam-3848	247	8	s	s	PROPN
ejpam-3848	247	9	grossberg	grossberg	PROPN
ejpam-3848	247	10	.	.	PUNCT
ejpam-3848	248	1	absolute	absolute	ADJ
ejpam-3848	248	2	stability	stability	NOUN
ejpam-3848	248	3	of	of	ADP
ejpam-3848	248	4	global	global	ADJ
ejpam-3848	248	5	pattern	pattern	NOUN
ejpam-3848	248	6	formation	formation	NOUN
ejpam-3848	248	7	and	and	CCONJ
ejpam-3848	248	8	parallel	parallel	ADJ
ejpam-3848	248	9	memory	memory	NOUN
ejpam-3848	248	10	storage	storage	NOUN
ejpam-3848	248	11	by	by	ADP
ejpam-3848	248	12	competitive	competitive	ADJ
ejpam-3848	248	13	neural	neural	ADJ
ejpam-3848	248	14	networks	network	NOUN
ejpam-3848	248	15	.	.	PUNCT
ejpam-3848	249	1	ieee	ieee	NOUN
ejpam-3848	249	2	transactions	transaction	NOUN
ejpam-3848	249	3	on	on	ADP
ejpam-3848	249	4	systems	system	NOUN
ejpam-3848	249	5	,	,	PUNCT
ejpam-3848	249	6	man	man	NOUN
ejpam-3848	249	7	,	,	PUNCT
ejpam-3848	249	8	and	and	CCONJ
ejpam-3848	249	9	cybernetics	cybernetic	NOUN
ejpam-3848	249	10	,	,	PUNCT
ejpam-3848	249	11	(	(	PUNCT
ejpam-3848	249	12	5):815–826	5):815–826	ADV
ejpam-3848	249	13	,	,	PUNCT
ejpam-3848	249	14	1983	1983	NUM
ejpam-3848	249	15	.	.	PUNCT
ejpam-3848	250	1	[	[	X
ejpam-3848	250	2	6	6	NUM
ejpam-3848	250	3	]	]	SYM
ejpam-3848	250	4	b	b	X
ejpam-3848	250	5	guo	guo	PROPN
ejpam-3848	250	6	,	,	PUNCT
ejpam-3848	250	7	z	z	PROPN
ejpam-3848	250	8	wu	wu	PROPN
ejpam-3848	250	9	,	,	PUNCT
ejpam-3848	250	10	and	and	CCONJ
ejpam-3848	250	11	h	h	PROPN
ejpam-3848	250	12	zhou	zhou	PROPN
ejpam-3848	250	13	.	.	PUNCT
ejpam-3848	251	1	active	active	ADJ
ejpam-3848	251	2	disturbance	disturbance	NOUN
ejpam-3848	251	3	rejection	rejection	NOUN
ejpam-3848	251	4	control	control	NOUN
ejpam-3848	251	5	approach	approach	NOUN
ejpam-3848	251	6	to	to	ADP
ejpam-3848	251	7	outputfeedback	outputfeedback	NOUN
ejpam-3848	251	8	stabilization	stabilization	NOUN
ejpam-3848	251	9	of	of	ADP
ejpam-3848	251	10	a	a	DET
ejpam-3848	251	11	class	class	NOUN
ejpam-3848	251	12	of	of	ADP
ejpam-3848	251	13	uncertain	uncertain	ADJ
ejpam-3848	251	14	nonlinear	nonlinear	ADJ
ejpam-3848	251	15	systems	system	NOUN
ejpam-3848	251	16	subject	subject	ADJ
ejpam-3848	251	17	to	to	ADP
ejpam-3848	251	18	stochastic	stochastic	ADJ
ejpam-3848	251	19	disturbance	disturbance	NOUN
ejpam-3848	251	20	.	.	PUNCT
ejpam-3848	252	1	ieee	ieee	NOUN
ejpam-3848	252	2	transactions	transaction	NOUN
ejpam-3848	252	3	on	on	ADP
ejpam-3848	252	4	automatic	automatic	ADJ
ejpam-3848	252	5	control	control	NOUN
ejpam-3848	252	6	,	,	PUNCT
ejpam-3848	252	7	61(6):1613–1618	61(6):1613–1618	NUM
ejpam-3848	252	8	,	,	PUNCT
ejpam-3848	252	9	2015	2015	NUM
ejpam-3848	252	10	.	.	PUNCT
ejpam-3848	253	1	[	[	X
ejpam-3848	253	2	7	7	X
ejpam-3848	253	3	]	]	X
ejpam-3848	253	4	c	c	PROPN
ejpam-3848	253	5	huang	huang	PROPN
ejpam-3848	253	6	and	and	CCONJ
ejpam-3848	253	7	j	j	PROPN
ejpam-3848	253	8	cao	cao	PROPN
ejpam-3848	253	9	.	.	PUNCT
ejpam-3848	254	1	impact	impact	NOUN
ejpam-3848	254	2	of	of	ADP
ejpam-3848	254	3	leakage	leakage	NOUN
ejpam-3848	254	4	delay	delay	NOUN
ejpam-3848	254	5	on	on	ADP
ejpam-3848	254	6	bifurcation	bifurcation	NOUN
ejpam-3848	254	7	in	in	ADP
ejpam-3848	254	8	high	high	ADJ
ejpam-3848	254	9	-	-	PUNCT
ejpam-3848	254	10	order	order	NOUN
ejpam-3848	254	11	fractional	fractional	ADJ
ejpam-3848	254	12	bam	bam	NOUN
ejpam-3848	254	13	neural	neural	ADJ
ejpam-3848	254	14	networks	network	NOUN
ejpam-3848	254	15	.	.	PUNCT
ejpam-3848	255	1	neural	neural	ADJ
ejpam-3848	255	2	networks	network	NOUN
ejpam-3848	255	3	,	,	PUNCT
ejpam-3848	255	4	98:223–235	98:223–235	PROPN
ejpam-3848	255	5	,	,	PUNCT
ejpam-3848	255	6	2018	2018	NUM
ejpam-3848	255	7	.	.	PUNCT
ejpam-3848	256	1	[	[	X
ejpam-3848	256	2	8	8	NUM
ejpam-3848	256	3	]	]	PUNCT
ejpam-3848	256	4	t	t	PROPN
ejpam-3848	256	5	huang	huang	PROPN
ejpam-3848	256	6	,	,	PUNCT
ejpam-3848	256	7	c	c	PROPN
ejpam-3848	256	8	li	li	PROPN
ejpam-3848	256	9	,	,	PUNCT
ejpam-3848	256	10	s	s	PROPN
ejpam-3848	256	11	duan	duan	PROPN
ejpam-3848	256	12	,	,	PUNCT
ejpam-3848	256	13	and	and	CCONJ
ejpam-3848	256	14	janusz	janusz	PROPN
ejpam-3848	256	15	a	a	DET
ejpam-3848	256	16	starzyk	starzyk	NOUN
ejpam-3848	256	17	.	.	PUNCT
ejpam-3848	257	1	robust	robust	ADJ
ejpam-3848	257	2	exponential	exponential	ADJ
ejpam-3848	257	3	stability	stability	NOUN
ejpam-3848	257	4	of	of	ADP
ejpam-3848	257	5	uncertain	uncertain	ADJ
ejpam-3848	257	6	delayed	delay	VERB
ejpam-3848	257	7	neural	neural	ADJ
ejpam-3848	257	8	networks	network	NOUN
ejpam-3848	257	9	with	with	ADP
ejpam-3848	257	10	stochastic	stochastic	ADJ
ejpam-3848	257	11	perturbation	perturbation	NOUN
ejpam-3848	257	12	and	and	CCONJ
ejpam-3848	257	13	impulse	impulse	ADJ
ejpam-3848	257	14	effects	effect	NOUN
ejpam-3848	257	15	.	.	PUNCT
ejpam-3848	258	1	ieee	ieee	NOUN
ejpam-3848	258	2	transactions	transaction	NOUN
ejpam-3848	258	3	on	on	ADP
ejpam-3848	258	4	neural	neural	ADJ
ejpam-3848	258	5	networks	network	NOUN
ejpam-3848	258	6	and	and	CCONJ
ejpam-3848	258	7	learning	learning	NOUN
ejpam-3848	258	8	systems	system	NOUN
ejpam-3848	258	9	,	,	PUNCT
ejpam-3848	258	10	23(6):866–875	23(6):866–875	PROPN
ejpam-3848	258	11	,	,	PUNCT
ejpam-3848	258	12	2012	2012	NUM
ejpam-3848	258	13	.	.	PUNCT
ejpam-3848	259	1	[	[	X
ejpam-3848	259	2	9	9	NUM
ejpam-3848	259	3	]	]	SYM
ejpam-3848	259	4	v	v	X
ejpam-3848	259	5	hien	hien	PROPN
ejpam-3848	259	6	le	le	X
ejpam-3848	259	7	and	and	CCONJ
ejpam-3848	259	8	l	l	PROPN
ejpam-3848	259	9	dao	dao	PROPN
ejpam-3848	259	10	hai	hai	PROPN
ejpam-3848	259	11	.	.	PUNCT
ejpam-3848	260	1	exponential	exponential	ADJ
ejpam-3848	260	2	stability	stability	NOUN
ejpam-3848	260	3	of	of	ADP
ejpam-3848	260	4	positive	positive	ADJ
ejpam-3848	260	5	neural	neural	ADJ
ejpam-3848	260	6	networks	network	NOUN
ejpam-3848	260	7	in	in	ADP
ejpam-3848	260	8	bidirectional	bidirectional	ADJ
ejpam-3848	260	9	associative	associative	ADJ
ejpam-3848	260	10	memory	memory	NOUN
ejpam-3848	260	11	model	model	NOUN
ejpam-3848	260	12	with	with	ADP
ejpam-3848	260	13	delays	delay	NOUN
ejpam-3848	260	14	.	.	PUNCT
ejpam-3848	261	1	mathematical	mathematical	ADJ
ejpam-3848	261	2	methods	method	NOUN
ejpam-3848	261	3	in	in	ADP
ejpam-3848	261	4	the	the	DET
ejpam-3848	261	5	applied	apply	VERB
ejpam-3848	261	6	sciences	science	NOUN
ejpam-3848	261	7	,	,	PUNCT
ejpam-3848	261	8	pages	page	NOUN
ejpam-3848	261	9	1–19	1–19	PROPN
ejpam-3848	261	10	,	,	PUNCT
ejpam-3848	261	11	2019	2019	NUM
ejpam-3848	261	12	.	.	PUNCT
ejpam-3848	262	1	references	reference	NOUN
ejpam-3848	262	2	805	805	NUM
ejpam-3848	262	3	[	[	X
ejpam-3848	262	4	10	10	NUM
ejpam-3848	262	5	]	]	X
ejpam-3848	262	6	z	z	PROPN
ejpam-3848	262	7	li	li	PROPN
ejpam-3848	262	8	,	,	PUNCT
ejpam-3848	262	9	t	t	PROPN
ejpam-3848	262	10	li	li	PROPN
ejpam-3848	262	11	,	,	PUNCT
ejpam-3848	262	12	and	and	CCONJ
ejpam-3848	262	13	g	g	PROPN
ejpam-3848	262	14	feng	feng	PROPN
ejpam-3848	262	15	.	.	PUNCT
ejpam-3848	263	1	adaptive	adaptive	ADJ
ejpam-3848	263	2	neural	neural	ADJ
ejpam-3848	263	3	control	control	NOUN
ejpam-3848	263	4	for	for	ADP
ejpam-3848	263	5	a	a	DET
ejpam-3848	263	6	class	class	NOUN
ejpam-3848	263	7	of	of	ADP
ejpam-3848	263	8	stochastic	stochastic	ADJ
ejpam-3848	263	9	nonlinear	nonlinear	ADJ
ejpam-3848	263	10	time	time	NOUN
ejpam-3848	263	11	-	-	PUNCT
ejpam-3848	263	12	delay	delay	NOUN
ejpam-3848	263	13	systems	system	NOUN
ejpam-3848	263	14	with	with	ADP
ejpam-3848	263	15	unknown	unknown	ADJ
ejpam-3848	263	16	dead	dead	ADJ
ejpam-3848	263	17	zone	zone	NOUN
ejpam-3848	263	18	using	use	VERB
ejpam-3848	263	19	dynamic	dynamic	ADJ
ejpam-3848	263	20	surface	surface	NOUN
ejpam-3848	263	21	technique	technique	NOUN
ejpam-3848	263	22	.	.	PUNCT
ejpam-3848	264	1	international	international	ADJ
ejpam-3848	264	2	journal	journal	NOUN
ejpam-3848	264	3	of	of	ADP
ejpam-3848	264	4	robust	robust	ADJ
ejpam-3848	264	5	and	and	CCONJ
ejpam-3848	264	6	nonlinear	nonlinear	ADJ
ejpam-3848	264	7	control	control	NOUN
ejpam-3848	264	8	,	,	PUNCT
ejpam-3848	264	9	26(4):759–781	26(4):759–781	NUM
ejpam-3848	264	10	,	,	PUNCT
ejpam-3848	264	11	2016	2016	NUM
ejpam-3848	264	12	.	.	PUNCT
ejpam-3848	265	1	[	[	X
ejpam-3848	265	2	11	11	NUM
ejpam-3848	265	3	]	]	X
ejpam-3848	265	4	x	x	SYM
ejpam-3848	265	5	liao	liao	PROPN
ejpam-3848	265	6	.	.	PROPN
ejpam-3848	265	7	theory	theory	NOUN
ejpam-3848	265	8	and	and	CCONJ
ejpam-3848	265	9	application	application	NOUN
ejpam-3848	265	10	of	of	ADP
ejpam-3848	265	11	stability	stability	NOUN
ejpam-3848	265	12	for	for	ADP
ejpam-3848	265	13	dynamical	dynamical	ADJ
ejpam-3848	265	14	systems	system	NOUN
ejpam-3848	265	15	.	.	PUNCT
ejpam-3848	266	1	national	national	ADJ
ejpam-3848	266	2	defense	defense	PROPN
ejpam-3848	266	3	industry	industry	NOUN
ejpam-3848	266	4	press	press	NOUN
ejpam-3848	266	5	,	,	PUNCT
ejpam-3848	266	6	beijingm	beijingm	ADJ
ejpam-3848	266	7	,	,	PUNCT
ejpam-3848	266	8	china	china	PROPN
ejpam-3848	266	9	,	,	PUNCT
ejpam-3848	266	10	2000	2000	NUM
ejpam-3848	266	11	.	.	PUNCT
ejpam-3848	267	1	[	[	X
ejpam-3848	267	2	12	12	NUM
ejpam-3848	267	3	]	]	X
ejpam-3848	267	4	c	c	PROPN
ejpam-3848	267	5	liu	liu	PROPN
ejpam-3848	267	6	,	,	PUNCT
ejpam-3848	267	7	x	x	PROPN
ejpam-3848	267	8	wang	wang	PROPN
ejpam-3848	267	9	,	,	PUNCT
ejpam-3848	267	10	and	and	CCONJ
ejpam-3848	267	11	y	y	PROPN
ejpam-3848	267	12	xue	xue	PROPN
ejpam-3848	267	13	.	.	PUNCT
ejpam-3848	268	1	global	global	ADJ
ejpam-3848	268	2	exponential	exponential	ADJ
ejpam-3848	268	3	stability	stability	NOUN
ejpam-3848	268	4	analysis	analysis	NOUN
ejpam-3848	268	5	of	of	ADP
ejpam-3848	268	6	discrete	discrete	ADJ
ejpam-3848	268	7	-	-	PUNCT
ejpam-3848	268	8	time	time	NOUN
ejpam-3848	268	9	genetic	genetic	ADJ
ejpam-3848	268	10	regulatory	regulatory	ADJ
ejpam-3848	268	11	networks	network	NOUN
ejpam-3848	268	12	with	with	ADP
ejpam-3848	268	13	time	time	NOUN
ejpam-3848	268	14	-	-	PUNCT
ejpam-3848	268	15	varying	vary	VERB
ejpam-3848	268	16	discrete	discrete	ADJ
ejpam-3848	268	17	delays	delay	NOUN
ejpam-3848	268	18	and	and	CCONJ
ejpam-3848	268	19	unbounded	unbounded	ADJ
ejpam-3848	268	20	distributed	distribute	VERB
ejpam-3848	268	21	delays	delay	NOUN
ejpam-3848	268	22	.	.	PUNCT
ejpam-3848	269	1	neurocomputing	neurocomputing	NOUN
ejpam-3848	269	2	,	,	PUNCT
ejpam-3848	269	3	372:100–108	372:100–108	NUM
ejpam-3848	269	4	,	,	PUNCT
ejpam-3848	269	5	2020	2020	NUM
ejpam-3848	269	6	.	.	PUNCT
ejpam-3848	270	1	[	[	X
ejpam-3848	270	2	13	13	NUM
ejpam-3848	270	3	]	]	PUNCT
ejpam-3848	270	4	l	l	PROPN
ejpam-3848	270	5	liu	liu	PROPN
ejpam-3848	270	6	,	,	PUNCT
ejpam-3848	270	7	a	a	DET
ejpam-3848	270	8	wu	wu	PROPN
ejpam-3848	270	9	,	,	PUNCT
ejpam-3848	270	10	z	z	PROPN
ejpam-3848	270	11	zeng	zeng	PROPN
ejpam-3848	270	12	,	,	PUNCT
ejpam-3848	270	13	and	and	CCONJ
ejpam-3848	270	14	t	t	PROPN
ejpam-3848	270	15	huang	huang	PROPN
ejpam-3848	270	16	.	.	PUNCT
ejpam-3848	271	1	global	global	ADJ
ejpam-3848	271	2	mean	mean	PROPN
ejpam-3848	271	3	square	square	ADJ
ejpam-3848	271	4	exponential	exponential	ADJ
ejpam-3848	271	5	stability	stability	NOUN
ejpam-3848	271	6	of	of	ADP
ejpam-3848	271	7	stochastic	stochastic	ADJ
ejpam-3848	271	8	neural	neural	ADJ
ejpam-3848	271	9	networks	network	NOUN
ejpam-3848	271	10	with	with	ADP
ejpam-3848	271	11	retarded	retarded	ADJ
ejpam-3848	271	12	and	and	CCONJ
ejpam-3848	271	13	advanced	advanced	ADJ
ejpam-3848	271	14	argument	argument	NOUN
ejpam-3848	271	15	.	.	PUNCT
ejpam-3848	272	1	neurocomputing	neurocomputing	NOUN
ejpam-3848	272	2	,	,	PUNCT
ejpam-3848	272	3	247:156–164	247:156–164	NUM
ejpam-3848	272	4	,	,	PUNCT
ejpam-3848	272	5	2017	2017	NUM
ejpam-3848	272	6	.	.	PUNCT
ejpam-3848	273	1	[	[	X
ejpam-3848	273	2	14	14	NUM
ejpam-3848	273	3	]	]	X
ejpam-3848	273	4	l	l	PROPN
ejpam-3848	273	5	liu	liu	PROPN
ejpam-3848	273	6	,	,	PUNCT
ejpam-3848	273	7	z	z	PROPN
ejpam-3848	273	8	yu	yu	PROPN
ejpam-3848	273	9	,	,	PUNCT
ejpam-3848	273	10	j	j	PROPN
ejpam-3848	273	11	yu	yu	PROPN
ejpam-3848	273	12	,	,	PUNCT
ejpam-3848	273	13	and	and	CCONJ
ejpam-3848	273	14	q	q	PROPN
ejpam-3848	273	15	zhou	zhou	PROPN
ejpam-3848	273	16	.	.	PUNCT
ejpam-3848	274	1	global	global	ADJ
ejpam-3848	274	2	output	output	NOUN
ejpam-3848	274	3	feedback	feedback	NOUN
ejpam-3848	274	4	stabilisation	stabilisation	NOUN
ejpam-3848	274	5	for	for	ADP
ejpam-3848	274	6	a	a	DET
ejpam-3848	274	7	class	class	NOUN
ejpam-3848	274	8	of	of	ADP
ejpam-3848	274	9	stochastic	stochastic	ADJ
ejpam-3848	274	10	feedforward	feedforward	ADJ
ejpam-3848	274	11	non	non	ADJ
ejpam-3848	274	12	-	-	ADJ
ejpam-3848	274	13	linear	linear	ADJ
ejpam-3848	274	14	systems	system	NOUN
ejpam-3848	274	15	with	with	ADP
ejpam-3848	274	16	state	state	NOUN
ejpam-3848	274	17	time	time	NOUN
ejpam-3848	274	18	delay	delay	NOUN
ejpam-3848	274	19	.	.	PUNCT
ejpam-3848	275	1	iet	iet	PROPN
ejpam-3848	275	2	control	control	PROPN
ejpam-3848	275	3	theory	theory	PROPN
ejpam-3848	275	4	&	&	CCONJ
ejpam-3848	275	5	applications	application	NOUN
ejpam-3848	275	6	,	,	PUNCT
ejpam-3848	275	7	9(6):963–971	9(6):963–971	NUM
ejpam-3848	275	8	,	,	PUNCT
ejpam-3848	275	9	2014	2014	NUM
ejpam-3848	275	10	.	.	PUNCT
ejpam-3848	276	1	[	[	X
ejpam-3848	276	2	15	15	NUM
ejpam-3848	276	3	]	]	X
ejpam-3848	276	4	x	x	X
ejpam-3848	276	5	mao	mao	PROPN
ejpam-3848	276	6	.	.	PUNCT
ejpam-3848	277	1	stability	stability	NOUN
ejpam-3848	277	2	and	and	CCONJ
ejpam-3848	277	3	stabilisation	stabilisation	NOUN
ejpam-3848	277	4	of	of	ADP
ejpam-3848	277	5	stochastic	stochastic	ADJ
ejpam-3848	277	6	differential	differential	ADJ
ejpam-3848	277	7	delay	delay	NOUN
ejpam-3848	277	8	equations	equation	NOUN
ejpam-3848	277	9	.	.	PUNCT
ejpam-3848	278	1	iet	iet	PROPN
ejpam-3848	278	2	control	control	PROPN
ejpam-3848	278	3	theory	theory	NOUN
ejpam-3848	278	4	and	and	CCONJ
ejpam-3848	278	5	applications	application	NOUN
ejpam-3848	278	6	,	,	PUNCT
ejpam-3848	278	7	1(6):1551–1566	1(6):1551–1566	NUM
ejpam-3848	278	8	,	,	PUNCT
ejpam-3848	278	9	2007	2007	NUM
ejpam-3848	278	10	.	.	PUNCT
ejpam-3848	279	1	[	[	X
ejpam-3848	279	2	16	16	NUM
ejpam-3848	279	3	]	]	X
ejpam-3848	279	4	x	x	X
ejpam-3848	279	5	mao	mao	PROPN
ejpam-3848	279	6	.	.	PUNCT
ejpam-3848	280	1	stochastic	stochastic	ADJ
ejpam-3848	280	2	differential	differential	ADJ
ejpam-3848	280	3	equations	equation	NOUN
ejpam-3848	280	4	and	and	CCONJ
ejpam-3848	280	5	applications	application	NOUN
ejpam-3848	280	6	.	.	PUNCT
ejpam-3848	281	1	elsevier	elsevier	NOUN
ejpam-3848	281	2	,	,	PUNCT
ejpam-3848	281	3	2007	2007	NUM
ejpam-3848	281	4	.	.	PUNCT
ejpam-3848	282	1	[	[	X
ejpam-3848	282	2	17	17	NUM
ejpam-3848	282	3	]	]	X
ejpam-3848	282	4	e.	e.	PROPN
ejpam-3848	282	5	yılmaz	yılmaz	PROPN
ejpam-3848	282	6	m.u	m.u	PROPN
ejpam-3848	282	7	.	.	PROPN
ejpam-3848	282	8	akhmet	akhmet	PROPN
ejpam-3848	282	9	,	,	PUNCT
ejpam-3848	282	10	d.	d.	PROPN
ejpam-3848	282	11	aruğaslan	aruğaslan	PROPN
ejpam-3848	282	12	.	.	PROPN
ejpam-3848	283	1	stability	stability	NOUN
ejpam-3848	283	2	analysis	analysis	NOUN
ejpam-3848	283	3	of	of	ADP
ejpam-3848	283	4	recurrent	recurrent	ADJ
ejpam-3848	283	5	neural	neural	ADJ
ejpam-3848	283	6	networks	network	NOUN
ejpam-3848	283	7	with	with	ADP
ejpam-3848	283	8	piecewise	piecewise	NOUN
ejpam-3848	283	9	constant	constant	ADJ
ejpam-3848	283	10	argument	argument	NOUN
ejpam-3848	283	11	of	of	ADP
ejpam-3848	283	12	generalized	generalized	ADJ
ejpam-3848	283	13	type	type	NOUN
ejpam-3848	283	14	.	.	PUNCT
ejpam-3848	284	1	neural	neural	ADJ
ejpam-3848	284	2	networks	network	NOUN
ejpam-3848	284	3	,	,	PUNCT
ejpam-3848	284	4	23(7):805	23(7):805	NUM
ejpam-3848	284	5	–	–	PUNCT
ejpam-3848	284	6	811	811	NUM
ejpam-3848	284	7	,	,	PUNCT
ejpam-3848	284	8	2010	2010	NUM
ejpam-3848	284	9	.	.	PUNCT
ejpam-3848	285	1	[	[	X
ejpam-3848	285	2	18	18	NUM
ejpam-3848	285	3	]	]	X
ejpam-3848	285	4	y	y	PROPN
ejpam-3848	285	5	shen	shen	PROPN
ejpam-3848	285	6	and	and	CCONJ
ejpam-3848	285	7	j	j	PROPN
ejpam-3848	285	8	wang	wang	PROPN
ejpam-3848	285	9	.	.	PUNCT
ejpam-3848	286	1	robustness	robustness	NOUN
ejpam-3848	286	2	analysis	analysis	NOUN
ejpam-3848	286	3	of	of	ADP
ejpam-3848	286	4	global	global	ADJ
ejpam-3848	286	5	exponential	exponential	ADJ
ejpam-3848	286	6	stability	stability	NOUN
ejpam-3848	286	7	of	of	ADP
ejpam-3848	286	8	non	non	ADJ
ejpam-3848	286	9	-	-	ADJ
ejpam-3848	286	10	linear	linear	ADJ
ejpam-3848	286	11	systems	system	NOUN
ejpam-3848	286	12	with	with	ADP
ejpam-3848	286	13	time	time	NOUN
ejpam-3848	286	14	delays	delay	NOUN
ejpam-3848	286	15	and	and	CCONJ
ejpam-3848	286	16	neutral	neutral	ADJ
ejpam-3848	286	17	terms	term	NOUN
ejpam-3848	286	18	.	.	PUNCT
ejpam-3848	287	1	iet	iet	PROPN
ejpam-3848	287	2	control	control	PROPN
ejpam-3848	287	3	theory	theory	PROPN
ejpam-3848	287	4	&	&	CCONJ
ejpam-3848	287	5	applications	application	NOUN
ejpam-3848	287	6	,	,	PUNCT
ejpam-3848	287	7	7(9):1227–1232	7(9):1227–1232	NOUN
ejpam-3848	287	8	,	,	PUNCT
ejpam-3848	287	9	2013	2013	NUM
ejpam-3848	287	10	.	.	PUNCT
ejpam-3848	288	1	[	[	X
ejpam-3848	288	2	19	19	NUM
ejpam-3848	288	3	]	]	X
ejpam-3848	288	4	y	y	PROPN
ejpam-3848	288	5	shen	shen	PROPN
ejpam-3848	288	6	and	and	CCONJ
ejpam-3848	288	7	j	j	PROPN
ejpam-3848	288	8	wang	wang	PROPN
ejpam-3848	288	9	.	.	PUNCT
ejpam-3848	289	1	robustness	robustness	NOUN
ejpam-3848	289	2	of	of	ADP
ejpam-3848	289	3	global	global	ADJ
ejpam-3848	289	4	exponential	exponential	ADJ
ejpam-3848	289	5	stability	stability	NOUN
ejpam-3848	289	6	of	of	ADP
ejpam-3848	289	7	nonlinear	nonlinear	ADJ
ejpam-3848	289	8	systems	system	NOUN
ejpam-3848	289	9	with	with	ADP
ejpam-3848	289	10	random	random	ADJ
ejpam-3848	289	11	disturbances	disturbance	NOUN
ejpam-3848	289	12	and	and	CCONJ
ejpam-3848	289	13	time	time	NOUN
ejpam-3848	289	14	delays	delay	NOUN
ejpam-3848	289	15	.	.	PUNCT
ejpam-3848	290	1	ieee	ieee	NOUN
ejpam-3848	290	2	transactions	transaction	NOUN
ejpam-3848	290	3	on	on	ADP
ejpam-3848	290	4	systems	system	NOUN
ejpam-3848	290	5	,	,	PUNCT
ejpam-3848	290	6	man	man	NOUN
ejpam-3848	290	7	,	,	PUNCT
ejpam-3848	290	8	and	and	CCONJ
ejpam-3848	290	9	cybernetics	cybernetic	NOUN
ejpam-3848	290	10	:	:	PUNCT
ejpam-3848	290	11	systems	system	NOUN
ejpam-3848	290	12	,	,	PUNCT
ejpam-3848	290	13	46(9):1157–1166	46(9):1157–1166	NUM
ejpam-3848	290	14	,	,	PUNCT
ejpam-3848	290	15	2015	2015	NUM
ejpam-3848	290	16	.	.	PUNCT
ejpam-3848	291	1	[	[	X
ejpam-3848	291	2	20	20	NUM
ejpam-3848	291	3	]	]	X
ejpam-3848	291	4	j	j	PROPN
ejpam-3848	291	5	michael	michael	PROPN
ejpam-3848	291	6	steele	steele	PROPN
ejpam-3848	291	7	.	.	PUNCT
ejpam-3848	292	1	the	the	DET
ejpam-3848	292	2	cauchy	cauchy	PROPN
ejpam-3848	292	3	-	-	PUNCT
ejpam-3848	292	4	schwarz	schwarz	PROPN
ejpam-3848	292	5	master	master	NOUN
ejpam-3848	292	6	class	class	NOUN
ejpam-3848	292	7	:	:	PUNCT
ejpam-3848	292	8	an	an	DET
ejpam-3848	292	9	introduction	introduction	NOUN
ejpam-3848	292	10	to	to	ADP
ejpam-3848	292	11	the	the	DET
ejpam-3848	292	12	art	art	NOUN
ejpam-3848	292	13	of	of	ADP
ejpam-3848	292	14	mathematical	mathematical	ADJ
ejpam-3848	292	15	inequalities	inequality	NOUN
ejpam-3848	292	16	.	.	PUNCT
ejpam-3848	293	1	cambridge	cambridge	PROPN
ejpam-3848	293	2	university	university	PROPN
ejpam-3848	293	3	press	press	NOUN
ejpam-3848	293	4	,	,	PUNCT
ejpam-3848	293	5	2004	2004	NUM
ejpam-3848	293	6	.	.	PUNCT
ejpam-3848	294	1	[	[	X
ejpam-3848	294	2	21	21	NUM
ejpam-3848	294	3	]	]	X
ejpam-3848	294	4	x	x	X
ejpam-3848	294	5	wei	wei	PROPN
ejpam-3848	294	6	,	,	PUNCT
ejpam-3848	294	7	z	z	PROPN
ejpam-3848	294	8	wu	wu	PROPN
ejpam-3848	294	9	,	,	PUNCT
ejpam-3848	294	10	and	and	CCONJ
ejpam-3848	294	11	h	h	PROPN
ejpam-3848	294	12	karimi	karimi	PROPN
ejpam-3848	294	13	.	.	PUNCT
ejpam-3848	295	1	disturbance	disturbance	NOUN
ejpam-3848	295	2	observer	observer	NOUN
ejpam-3848	295	3	-	-	PUNCT
ejpam-3848	295	4	based	base	VERB
ejpam-3848	295	5	disturbance	disturbance	NOUN
ejpam-3848	295	6	attenuation	attenuation	NOUN
ejpam-3848	295	7	control	control	NOUN
ejpam-3848	295	8	for	for	ADP
ejpam-3848	295	9	a	a	DET
ejpam-3848	295	10	class	class	NOUN
ejpam-3848	295	11	of	of	ADP
ejpam-3848	295	12	stochastic	stochastic	ADJ
ejpam-3848	295	13	systems	system	NOUN
ejpam-3848	295	14	.	.	PUNCT
ejpam-3848	296	1	automatica	automatica	PROPN
ejpam-3848	296	2	,	,	PUNCT
ejpam-3848	296	3	63:21–25	63:21–25	PROPN
ejpam-3848	296	4	,	,	PUNCT
ejpam-3848	296	5	2016	2016	NUM
ejpam-3848	296	6	.	.	PUNCT
ejpam-3848	297	1	[	[	X
ejpam-3848	297	2	22	22	NUM
ejpam-3848	297	3	]	]	PUNCT
ejpam-3848	297	4	a	a	DET
ejpam-3848	297	5	wu	wu	PROPN
ejpam-3848	297	6	,	,	PUNCT
ejpam-3848	297	7	l	l	PROPN
ejpam-3848	297	8	liu	liu	PROPN
ejpam-3848	297	9	,	,	PUNCT
ejpam-3848	297	10	t	t	PROPN
ejpam-3848	297	11	huang	huang	PROPN
ejpam-3848	297	12	,	,	PUNCT
ejpam-3848	297	13	and	and	CCONJ
ejpam-3848	297	14	z	z	PROPN
ejpam-3848	297	15	zeng	zeng	PROPN
ejpam-3848	297	16	.	.	PUNCT
ejpam-3848	297	17	mittag	mittag	ADJ
ejpam-3848	297	18	-	-	PUNCT
ejpam-3848	297	19	leffler	leffler	NOUN
ejpam-3848	297	20	stability	stability	NOUN
ejpam-3848	297	21	of	of	ADP
ejpam-3848	297	22	fractional	fractional	ADJ
ejpam-3848	297	23	-	-	PUNCT
ejpam-3848	297	24	order	order	NOUN
ejpam-3848	297	25	neural	neural	ADJ
ejpam-3848	297	26	networks	network	NOUN
ejpam-3848	297	27	in	in	ADP
ejpam-3848	297	28	the	the	DET
ejpam-3848	297	29	presence	presence	NOUN
ejpam-3848	297	30	of	of	ADP
ejpam-3848	297	31	generalized	generalized	ADJ
ejpam-3848	297	32	piecewise	piecewise	NOUN
ejpam-3848	297	33	constant	constant	ADJ
ejpam-3848	297	34	arguments	argument	NOUN
ejpam-3848	297	35	.	.	PUNCT
ejpam-3848	298	1	neural	neural	ADJ
ejpam-3848	298	2	networks	network	NOUN
ejpam-3848	298	3	,	,	PUNCT
ejpam-3848	298	4	85:118–127	85:118–127	NOUN
ejpam-3848	298	5	,	,	PUNCT
ejpam-3848	298	6	2017	2017	NUM
ejpam-3848	298	7	.	.	PUNCT
ejpam-3848	299	1	references	reference	NOUN
ejpam-3848	299	2	806	806	NUM
ejpam-3848	299	3	[	[	X
ejpam-3848	299	4	23	23	NUM
ejpam-3848	299	5	]	]	PUNCT
ejpam-3848	299	6	a	a	DET
ejpam-3848	299	7	wu	wu	PROPN
ejpam-3848	299	8	and	and	CCONJ
ejpam-3848	299	9	z	z	PROPN
ejpam-3848	299	10	zeng	zeng	PROPN
ejpam-3848	299	11	.	.	PUNCT
ejpam-3848	300	1	output	output	NOUN
ejpam-3848	300	2	convergence	convergence	NOUN
ejpam-3848	300	3	of	of	ADP
ejpam-3848	300	4	fuzzy	fuzzy	ADJ
ejpam-3848	300	5	neurodynamic	neurodynamic	ADJ
ejpam-3848	300	6	system	system	NOUN
ejpam-3848	300	7	with	with	ADP
ejpam-3848	300	8	piecewise	piecewise	NOUN
ejpam-3848	300	9	constant	constant	ADJ
ejpam-3848	300	10	argument	argument	NOUN
ejpam-3848	300	11	of	of	ADP
ejpam-3848	300	12	generalized	generalized	ADJ
ejpam-3848	300	13	type	type	NOUN
ejpam-3848	300	14	and	and	CCONJ
ejpam-3848	300	15	time	time	NOUN
ejpam-3848	300	16	-	-	PUNCT
ejpam-3848	300	17	varying	vary	VERB
ejpam-3848	300	18	input	input	NOUN
ejpam-3848	300	19	.	.	PUNCT
ejpam-3848	301	1	ieee	ieee	NOUN
ejpam-3848	301	2	transactions	transaction	NOUN
ejpam-3848	301	3	on	on	ADP
ejpam-3848	301	4	systems	system	NOUN
ejpam-3848	301	5	,	,	PUNCT
ejpam-3848	301	6	man	man	NOUN
ejpam-3848	301	7	,	,	PUNCT
ejpam-3848	301	8	and	and	CCONJ
ejpam-3848	301	9	cybernetics	cybernetic	NOUN
ejpam-3848	301	10	:	:	PUNCT
ejpam-3848	301	11	systems	system	NOUN
ejpam-3848	301	12	,	,	PUNCT
ejpam-3848	301	13	46(12):1689–1702	46(12):1689–1702	PROPN
ejpam-3848	301	14	,	,	PUNCT
ejpam-3848	301	15	2016	2016	NUM
ejpam-3848	301	16	.	.	PUNCT
ejpam-3848	302	1	[	[	X
ejpam-3848	302	2	24	24	NUM
ejpam-3848	302	3	]	]	X
ejpam-3848	302	4	g	g	PROPN
ejpam-3848	302	5	xu	xu	PROPN
ejpam-3848	302	6	and	and	CCONJ
ejpam-3848	302	7	h	h	PROPN
ejpam-3848	302	8	bao	bao	PROPN
ejpam-3848	302	9	.	.	PUNCT
ejpam-3848	303	1	further	further	ADJ
ejpam-3848	303	2	results	result	NOUN
ejpam-3848	303	3	on	on	ADP
ejpam-3848	303	4	mean	mean	ADJ
ejpam-3848	303	5	-	-	PUNCT
ejpam-3848	303	6	square	square	ADJ
ejpam-3848	303	7	exponential	exponential	ADJ
ejpam-3848	303	8	input	input	NOUN
ejpam-3848	303	9	-	-	PUNCT
ejpam-3848	303	10	to	to	ADP
ejpam-3848	303	11	-	-	PUNCT
ejpam-3848	303	12	state	state	NOUN
ejpam-3848	303	13	stability	stability	NOUN
ejpam-3848	303	14	of	of	ADP
ejpam-3848	303	15	time	time	NOUN
ejpam-3848	303	16	-	-	PUNCT
ejpam-3848	303	17	varying	vary	VERB
ejpam-3848	303	18	delayed	delay	VERB
ejpam-3848	303	19	bam	bam	NOUN
ejpam-3848	303	20	neural	neural	ADJ
ejpam-3848	303	21	networks	network	NOUN
ejpam-3848	303	22	with	with	ADP
ejpam-3848	303	23	markovian	markovian	ADJ
ejpam-3848	303	24	switching	switching	NOUN
ejpam-3848	303	25	.	.	PUNCT
ejpam-3848	304	1	neurocomputing	neurocomputing	NOUN
ejpam-3848	304	2	,	,	PUNCT
ejpam-3848	304	3	376:191–201	376:191–201	NUM
ejpam-3848	304	4	,	,	PUNCT
ejpam-3848	304	5	2020	2020	NUM
ejpam-3848	304	6	.	.	PUNCT
ejpam-3848	305	1	[	[	X
ejpam-3848	305	2	25	25	NUM
ejpam-3848	305	3	]	]	X
ejpam-3848	305	4	r	r	NOUN
ejpam-3848	305	5	yan	yan	PROPN
ejpam-3848	305	6	,	,	PUNCT
ejpam-3848	305	7	x	x	VERB
ejpam-3848	305	8	he	he	PRON
ejpam-3848	305	9	,	,	PUNCT
ejpam-3848	305	10	and	and	CCONJ
ejpam-3848	305	11	d	d	X
ejpam-3848	305	12	zhou	zhou	PROPN
ejpam-3848	305	13	.	.	PUNCT
ejpam-3848	306	1	detecting	detect	VERB
ejpam-3848	306	2	intermittent	intermittent	ADJ
ejpam-3848	306	3	sensor	sensor	NOUN
ejpam-3848	306	4	faults	fault	NOUN
ejpam-3848	306	5	for	for	ADP
ejpam-3848	306	6	linear	linear	ADJ
ejpam-3848	306	7	stochastic	stochastic	NOUN
ejpam-3848	306	8	systems	system	NOUN
ejpam-3848	306	9	subject	subject	ADJ
ejpam-3848	306	10	to	to	ADP
ejpam-3848	306	11	unknown	unknown	ADJ
ejpam-3848	306	12	disturbance	disturbance	NOUN
ejpam-3848	306	13	.	.	PUNCT
ejpam-3848	307	1	journal	journal	NOUN
ejpam-3848	307	2	of	of	ADP
ejpam-3848	307	3	the	the	DET
ejpam-3848	307	4	franklin	franklin	PROPN
ejpam-3848	307	5	institute	institute	PROPN
ejpam-3848	307	6	,	,	PUNCT
ejpam-3848	307	7	353(17):4734–4753	353(17):4734–4753	NUM
ejpam-3848	307	8	,	,	PUNCT
ejpam-3848	307	9	2016	2016	NUM
ejpam-3848	307	10	.	.	PUNCT
ejpam-3848	308	1	[	[	X
ejpam-3848	308	2	26	26	NUM
ejpam-3848	308	3	]	]	X
ejpam-3848	308	4	j	j	PROPN
ejpam-3848	308	5	zhang	zhang	PROPN
ejpam-3848	308	6	.	.	PUNCT
ejpam-3848	309	1	robustness	robustness	NOUN
ejpam-3848	309	2	analysis	analysis	NOUN
ejpam-3848	309	3	of	of	ADP
ejpam-3848	309	4	global	global	ADJ
ejpam-3848	309	5	exponential	exponential	ADJ
ejpam-3848	309	6	stability	stability	NOUN
ejpam-3848	309	7	of	of	ADP
ejpam-3848	309	8	nonlinear	nonlinear	ADJ
ejpam-3848	309	9	systems	system	NOUN
ejpam-3848	309	10	with	with	ADP
ejpam-3848	309	11	deviating	deviate	VERB
ejpam-3848	309	12	argument	argument	NOUN
ejpam-3848	309	13	and	and	CCONJ
ejpam-3848	309	14	stochastic	stochastic	ADJ
ejpam-3848	309	15	disturbance	disturbance	NOUN
ejpam-3848	309	16	.	.	PUNCT
ejpam-3848	310	1	ieee	ieee	NOUN
ejpam-3848	310	2	access	access	NOUN
ejpam-3848	310	3	,	,	PUNCT
ejpam-3848	310	4	5:13446–13454	5:13446–13454	NUM
ejpam-3848	310	5	,	,	PUNCT
ejpam-3848	310	6	2017	2017	NUM
ejpam-3848	310	7	.	.	PUNCT
ejpam-3848	311	1	[	[	X
ejpam-3848	311	2	27	27	NUM
ejpam-3848	311	3	]	]	X
ejpam-3848	311	4	j	j	PROPN
ejpam-3848	311	5	zhang	zhang	PROPN
ejpam-3848	311	6	,	,	PUNCT
ejpam-3848	311	7	k	k	PROPN
ejpam-3848	311	8	yang	yang	PROPN
ejpam-3848	311	9	,	,	PUNCT
ejpam-3848	311	10	r	r	PROPN
ejpam-3848	311	11	qi	qi	PROPN
ejpam-3848	311	12	,	,	PUNCT
ejpam-3848	311	13	s	s	PART
ejpam-3848	311	14	zhao	zhao	NOUN
ejpam-3848	311	15	,	,	PUNCT
ejpam-3848	311	16	and	and	CCONJ
ejpam-3848	311	17	y	y	PROPN
ejpam-3848	311	18	li	li	PROPN
ejpam-3848	311	19	.	.	PUNCT
ejpam-3848	312	1	robustness	robustness	NOUN
ejpam-3848	312	2	analysis	analysis	NOUN
ejpam-3848	312	3	method	method	NOUN
ejpam-3848	312	4	for	for	ADP
ejpam-3848	312	5	orbit	orbit	NOUN
ejpam-3848	312	6	control	control	NOUN
ejpam-3848	312	7	.	.	PUNCT
ejpam-3848	313	1	acta	acta	PROPN
ejpam-3848	313	2	astronautica	astronautica	PROPN
ejpam-3848	313	3	,	,	PUNCT
ejpam-3848	313	4	137:15–24	137:15–24	NUM
ejpam-3848	313	5	,	,	PUNCT
ejpam-3848	313	6	2017	2017	NUM
ejpam-3848	313	7	.	.	PUNCT