id	sid	tid	token	lemma	pos
ijassa-775	1	1	adv	adv	PROPN
ijassa-775	1	2	syst	syst	PROPN
ijassa-775	1	3	sci	sci	PROPN
ijassa-775	1	4	appl	appl	PROPN
ijassa-775	1	5	2020	2020	NUM
ijassa-775	1	6	;	;	PUNCT
ijassa-775	1	7	01:27–49	01:27–49	NUM
ijassa-775	1	8	published	publish	VERB
ijassa-775	1	9	online	online	ADV
ijassa-775	1	10	at	at	ADP
ijassa-775	1	11	http://ijassa.ipu.ru/index.php/ijassa/article/view/775	http://ijassa.ipu.ru/index.php/ijassa/article/view/775	NOUN
ijassa-775	1	12	average	average	ADJ
ijassa-775	1	13	predictive	predictive	ADJ
ijassa-775	1	14	control	control	NOUN
ijassa-775	1	15	for	for	ADP
ijassa-775	1	16	nonlinear	nonlinear	ADJ
ijassa-775	1	17	discrete	discrete	ADJ
ijassa-775	1	18	dynamical	dynamical	ADJ
ijassa-775	1	19	systems	system	NOUN
ijassa-775	1	20	dmitriy	dmitriy	PROPN
ijassa-775	1	21	dmitrishin1	dmitrishin1	PROPN
ijassa-775	1	22	,	,	PUNCT
ijassa-775	1	23	emil	emil	PROPN
ijassa-775	1	24	iacob2∗	iacob2∗	PROPN
ijassa-775	1	25	,	,	PUNCT
ijassa-775	1	26	alex	alex	PROPN
ijassa-775	1	27	stokolos2	stokolos2	PROPN
ijassa-775	1	28	1odessa	1odessa	NUM
ijassa-775	1	29	national	national	ADJ
ijassa-775	1	30	polytechnic	polytechnic	ADJ
ijassa-775	1	31	university	university	NOUN
ijassa-775	1	32	,	,	PUNCT
ijassa-775	1	33	odessa	odessa	ADJ
ijassa-775	1	34	,	,	PUNCT
ijassa-775	1	35	ukraine	ukraine	NOUN
ijassa-775	1	36	2georgia	2georgia	NUM
ijassa-775	1	37	southern	southern	ADJ
ijassa-775	1	38	university	university	NOUN
ijassa-775	1	39	,	,	PUNCT
ijassa-775	1	40	statesboro	statesboro	PROPN
ijassa-775	1	41	ga	ga	PROPN
ijassa-775	1	42	30460	30460	NUM
ijassa-775	1	43	,	,	PUNCT
ijassa-775	1	44	usa	usa	PROPN
ijassa-775	1	45	abstract	abstract	NOUN
ijassa-775	1	46	:	:	PUNCT
ijassa-775	1	47	we	we	PRON
ijassa-775	1	48	explore	explore	VERB
ijassa-775	1	49	the	the	DET
ijassa-775	1	50	problem	problem	NOUN
ijassa-775	1	51	of	of	ADP
ijassa-775	1	52	stabilization	stabilization	NOUN
ijassa-775	1	53	of	of	ADP
ijassa-775	1	54	unstable	unstable	ADJ
ijassa-775	1	55	periodic	periodic	ADJ
ijassa-775	1	56	orbits	orbit	NOUN
ijassa-775	1	57	in	in	ADP
ijassa-775	1	58	discrete	discrete	ADJ
ijassa-775	1	59	nonlinear	nonlinear	ADJ
ijassa-775	1	60	dynamical	dynamical	ADJ
ijassa-775	1	61	systems	system	NOUN
ijassa-775	1	62	.	.	PUNCT
ijassa-775	2	1	this	this	DET
ijassa-775	2	2	work	work	NOUN
ijassa-775	2	3	proposes	propose	VERB
ijassa-775	2	4	the	the	DET
ijassa-775	2	5	generalization	generalization	NOUN
ijassa-775	2	6	of	of	ADP
ijassa-775	2	7	predictive	predictive	ADJ
ijassa-775	2	8	control	control	NOUN
ijassa-775	2	9	method	method	NOUN
ijassa-775	2	10	for	for	ADP
ijassa-775	2	11	resolving	resolve	VERB
ijassa-775	2	12	the	the	DET
ijassa-775	2	13	stabilization	stabilization	NOUN
ijassa-775	2	14	problem	problem	NOUN
ijassa-775	2	15	.	.	PUNCT
ijassa-775	3	1	our	our	PRON
ijassa-775	3	2	method	method	NOUN
ijassa-775	3	3	embodies	embody	VERB
ijassa-775	3	4	the	the	DET
ijassa-775	3	5	development	development	NOUN
ijassa-775	3	6	of	of	ADP
ijassa-775	3	7	control	control	NOUN
ijassa-775	3	8	method	method	NOUN
ijassa-775	3	9	proposed	propose	VERB
ijassa-775	3	10	by	by	ADP
ijassa-775	3	11	b.t	b.t	PROPN
ijassa-775	3	12	.	.	PROPN
ijassa-775	3	13	polyak	polyak	PROPN
ijassa-775	3	14	.	.	PUNCT
ijassa-775	4	1	the	the	DET
ijassa-775	4	2	control	control	NOUN
ijassa-775	4	3	we	we	PRON
ijassa-775	4	4	propose	propose	VERB
ijassa-775	4	5	uses	use	VERB
ijassa-775	4	6	a	a	DET
ijassa-775	4	7	linear	linear	NOUN
ijassa-775	4	8	(	(	PUNCT
ijassa-775	4	9	convex	convex	NOUN
ijassa-775	4	10	)	)	PUNCT
ijassa-775	4	11	combination	combination	NOUN
ijassa-775	4	12	of	of	ADP
ijassa-775	4	13	iterated	iterated	ADJ
ijassa-775	4	14	functions	function	NOUN
ijassa-775	4	15	.	.	PUNCT
ijassa-775	5	1	with	with	ADP
ijassa-775	5	2	the	the	DET
ijassa-775	5	3	proposed	propose	VERB
ijassa-775	5	4	method	method	NOUN
ijassa-775	5	5	auxiliary	auxiliary	NOUN
ijassa-775	5	6	,	,	PUNCT
ijassa-775	5	7	the	the	DET
ijassa-775	5	8	problem	problem	NOUN
ijassa-775	5	9	of	of	ADP
ijassa-775	5	10	robust	robust	ADJ
ijassa-775	5	11	cycle	cycle	NOUN
ijassa-775	5	12	stabilization	stabilization	NOUN
ijassa-775	5	13	for	for	ADP
ijassa-775	5	14	various	various	ADJ
ijassa-775	5	15	cases	case	NOUN
ijassa-775	5	16	of	of	ADP
ijassa-775	5	17	its	its	PRON
ijassa-775	5	18	multipliers	multiplier	NOUN
ijassa-775	5	19	localization	localization	NOUN
ijassa-775	5	20	is	be	AUX
ijassa-775	5	21	solved	solve	VERB
ijassa-775	5	22	.	.	PUNCT
ijassa-775	6	1	an	an	DET
ijassa-775	6	2	algorithm	algorithm	NOUN
ijassa-775	6	3	for	for	ADP
ijassa-775	6	4	finding	find	VERB
ijassa-775	6	5	a	a	DET
ijassa-775	6	6	given	give	VERB
ijassa-775	6	7	length	length	NOUN
ijassa-775	6	8	cycle	cycle	NOUN
ijassa-775	6	9	when	when	SCONJ
ijassa-775	6	10	its	its	PRON
ijassa-775	6	11	multipliers	multiplier	NOUN
ijassa-775	6	12	are	be	AUX
ijassa-775	6	13	known	know	VERB
ijassa-775	6	14	is	be	AUX
ijassa-775	6	15	described	describe	VERB
ijassa-775	6	16	as	as	ADP
ijassa-775	6	17	a	a	DET
ijassa-775	6	18	particular	particular	ADJ
ijassa-775	6	19	case	case	NOUN
ijassa-775	6	20	of	of	ADP
ijassa-775	6	21	our	our	PRON
ijassa-775	6	22	method	method	NOUN
ijassa-775	6	23	application	application	NOUN
ijassa-775	6	24	.	.	PUNCT
ijassa-775	7	1	also	also	ADV
ijassa-775	7	2	,	,	PUNCT
ijassa-775	7	3	we	we	PRON
ijassa-775	7	4	present	present	VERB
ijassa-775	7	5	numerical	numerical	PROPN
ijassa-775	7	6	simulation	simulation	PROPN
ijassa-775	7	7	results	result	VERB
ijassa-775	7	8	for	for	ADP
ijassa-775	7	9	some	some	DET
ijassa-775	7	10	well	well	ADV
ijassa-775	7	11	-	-	PUNCT
ijassa-775	7	12	known	know	VERB
ijassa-775	7	13	mappings	mapping	NOUN
ijassa-775	7	14	and	and	CCONJ
ijassa-775	7	15	the	the	DET
ijassa-775	7	16	possibility	possibility	NOUN
ijassa-775	7	17	of	of	ADP
ijassa-775	7	18	further	further	ADJ
ijassa-775	7	19	generalization	generalization	NOUN
ijassa-775	7	20	of	of	ADP
ijassa-775	7	21	this	this	DET
ijassa-775	7	22	method	method	NOUN
ijassa-775	7	23	.	.	PUNCT
ijassa-775	8	1	keywords	keyword	NOUN
ijassa-775	8	2	:	:	PUNCT
ijassa-775	8	3	non	non	ADJ
ijassa-775	8	4	-	-	ADJ
ijassa-775	8	5	linear	linear	ADJ
ijassa-775	8	6	discrete	discrete	ADJ
ijassa-775	8	7	systems	system	NOUN
ijassa-775	8	8	,	,	PUNCT
ijassa-775	8	9	stabilization	stabilization	NOUN
ijassa-775	8	10	,	,	PUNCT
ijassa-775	8	11	predictive	predictive	ADJ
ijassa-775	8	12	control	control	NOUN
ijassa-775	8	13	.	.	PUNCT
ijassa-775	9	1	1	1	X
ijassa-775	9	2	.	.	X
ijassa-775	9	3	introduction	introduction	NOUN
ijassa-775	9	4	nonlinear	nonlinear	ADJ
ijassa-775	9	5	dynamical	dynamical	ADJ
ijassa-775	9	6	systems	system	NOUN
ijassa-775	9	7	are	be	AUX
ijassa-775	9	8	often	often	ADV
ijassa-775	9	9	characterized	characterize	VERB
ijassa-775	9	10	by	by	ADP
ijassa-775	9	11	extremely	extremely	ADV
ijassa-775	9	12	unstable	unstable	ADJ
ijassa-775	9	13	movements	movement	NOUN
ijassa-775	9	14	in	in	ADP
ijassa-775	9	15	the	the	DET
ijassa-775	9	16	phase	phase	NOUN
ijassa-775	9	17	space	space	NOUN
ijassa-775	9	18	,	,	PUNCT
ijassa-775	9	19	defined	define	VERB
ijassa-775	9	20	as	as	ADP
ijassa-775	9	21	chaotic	chaotic	ADJ
ijassa-775	9	22	movements	movement	NOUN
ijassa-775	9	23	[	[	X
ijassa-775	9	24	5	5	NUM
ijassa-775	9	25	]	]	PUNCT
ijassa-775	9	26	.	.	PUNCT
ijassa-775	10	1	in	in	ADP
ijassa-775	10	2	practice	practice	NOUN
ijassa-775	10	3	,	,	PUNCT
ijassa-775	10	4	it	it	PRON
ijassa-775	10	5	is	be	AUX
ijassa-775	10	6	generally	generally	ADV
ijassa-775	10	7	desirable	desirable	ADJ
ijassa-775	10	8	to	to	PART
ijassa-775	10	9	suppress	suppress	VERB
ijassa-775	10	10	or	or	CCONJ
ijassa-775	10	11	prevent	prevent	VERB
ijassa-775	10	12	such	such	ADJ
ijassa-775	10	13	chaotic	chaotic	ADJ
ijassa-775	10	14	behavior	behavior	NOUN
ijassa-775	10	15	due	due	ADP
ijassa-775	10	16	to	to	ADP
ijassa-775	10	17	its	its	PRON
ijassa-775	10	18	adverse	adverse	ADJ
ijassa-775	10	19	effect	effect	NOUN
ijassa-775	10	20	on	on	ADP
ijassa-775	10	21	the	the	DET
ijassa-775	10	22	physical	physical	ADJ
ijassa-775	10	23	systems	system	NOUN
ijassa-775	10	24	normal	normal	ADJ
ijassa-775	10	25	operation	operation	NOUN
ijassa-775	10	26	.	.	PUNCT
ijassa-775	11	1	due	due	ADP
ijassa-775	11	2	to	to	ADP
ijassa-775	11	3	its	its	PRON
ijassa-775	11	4	theoretical	theoretical	ADJ
ijassa-775	11	5	significance	significance	NOUN
ijassa-775	11	6	and	and	CCONJ
ijassa-775	11	7	engineering	engineering	NOUN
ijassa-775	11	8	applicability	applicability	NOUN
ijassa-775	11	9	,	,	PUNCT
ijassa-775	11	10	much	much	ADJ
ijassa-775	11	11	attention	attention	NOUN
ijassa-775	11	12	has	have	AUX
ijassa-775	11	13	been	be	AUX
ijassa-775	11	14	paid	pay	VERB
ijassa-775	11	15	to	to	ADP
ijassa-775	11	16	the	the	DET
ijassa-775	11	17	problem	problem	NOUN
ijassa-775	11	18	of	of	ADP
ijassa-775	11	19	chaos	chaos	NOUN
ijassa-775	11	20	controlling	control	VERB
ijassa-775	11	21	in	in	ADP
ijassa-775	11	22	various	various	ADJ
ijassa-775	11	23	fields	field	NOUN
ijassa-775	11	24	and	and	CCONJ
ijassa-775	11	25	numerous	numerous	ADJ
ijassa-775	11	26	studies	study	NOUN
ijassa-775	11	27	[	[	X
ijassa-775	11	28	2	2	NUM
ijassa-775	11	29	,	,	PUNCT
ijassa-775	11	30	3	3	NUM
ijassa-775	11	31	,	,	PUNCT
ijassa-775	11	32	15	15	NUM
ijassa-775	11	33	,	,	PUNCT
ijassa-775	11	34	22	22	NUM
ijassa-775	11	35	]	]	PUNCT
ijassa-775	11	36	.	.	PUNCT
ijassa-775	12	1	by	by	ADP
ijassa-775	12	2	chaos	chaos	NOUN
ijassa-775	12	3	control	control	NOUN
ijassa-775	12	4	we	we	PRON
ijassa-775	12	5	mean	mean	VERB
ijassa-775	12	6	small	small	ADJ
ijassa-775	12	7	external	external	ADJ
ijassa-775	12	8	influences	influence	NOUN
ijassa-775	12	9	on	on	ADP
ijassa-775	12	10	the	the	DET
ijassa-775	12	11	system	system	NOUN
ijassa-775	12	12	or	or	CCONJ
ijassa-775	12	13	a	a	DET
ijassa-775	12	14	small	small	ADJ
ijassa-775	12	15	change	change	NOUN
ijassa-775	12	16	in	in	ADP
ijassa-775	12	17	the	the	DET
ijassa-775	12	18	system	system	NOUN
ijassa-775	12	19	structure	structure	NOUN
ijassa-775	12	20	in	in	ADP
ijassa-775	12	21	order	order	NOUN
ijassa-775	12	22	to	to	PART
ijassa-775	12	23	transform	transform	VERB
ijassa-775	12	24	the	the	DET
ijassa-775	12	25	system	system	NOUN
ijassa-775	12	26	chaotic	chaotic	ADJ
ijassa-775	12	27	behavior	behavior	NOUN
ijassa-775	12	28	into	into	ADP
ijassa-775	12	29	a	a	DET
ijassa-775	12	30	regular	regular	ADJ
ijassa-775	12	31	(	(	PUNCT
ijassa-775	12	32	or	or	CCONJ
ijassa-775	12	33	chaotic	chaotic	ADJ
ijassa-775	12	34	,	,	PUNCT
ijassa-775	12	35	still	still	ADV
ijassa-775	12	36	specific	specific	ADJ
ijassa-775	12	37	with	with	ADP
ijassa-775	12	38	other	other	ADJ
ijassa-775	12	39	properties	property	NOUN
ijassa-775	12	40	)	)	PUNCT
ijassa-775	12	41	one	one	NUM
ijassa-775	13	1	[	[	X
ijassa-775	13	2	13	13	NUM
ijassa-775	13	3	]	]	PUNCT
ijassa-775	13	4	.	.	PUNCT
ijassa-775	14	1	it	it	PRON
ijassa-775	14	2	is	be	AUX
ijassa-775	14	3	assumed	assume	VERB
ijassa-775	14	4	that	that	SCONJ
ijassa-775	14	5	the	the	DET
ijassa-775	14	6	dynamical	dynamical	ADJ
ijassa-775	14	7	system	system	NOUN
ijassa-775	14	8	includes	include	VERB
ijassa-775	14	9	a	a	DET
ijassa-775	14	10	chaotic	chaotic	ADJ
ijassa-775	14	11	attractor	attractor	NOUN
ijassa-775	14	12	,	,	PUNCT
ijassa-775	14	13	which	which	PRON
ijassa-775	14	14	contains	contain	VERB
ijassa-775	14	15	a	a	DET
ijassa-775	14	16	countable	countable	ADJ
ijassa-775	14	17	set	set	NOUN
ijassa-775	14	18	of	of	ADP
ijassa-775	14	19	unstable	unstable	ADJ
ijassa-775	14	20	in	in	ADP
ijassa-775	14	21	lyapunov	lyapunov	ADJ
ijassa-775	14	22	sense	sense	NOUN
ijassa-775	14	23	cycles	cycle	NOUN
ijassa-775	14	24	with	with	ADP
ijassa-775	14	25	different	different	ADJ
ijassa-775	14	26	periods	period	NOUN
ijassa-775	14	27	.	.	PUNCT
ijassa-775	15	1	if	if	SCONJ
ijassa-775	15	2	,	,	PUNCT
ijassa-775	15	3	by	by	ADP
ijassa-775	15	4	using	use	VERB
ijassa-775	15	5	some	some	DET
ijassa-775	15	6	control	control	NOUN
ijassa-775	15	7	effect	effect	NOUN
ijassa-775	15	8	,	,	PUNCT
ijassa-775	15	9	a	a	DET
ijassa-775	15	10	certain	certain	ADJ
ijassa-775	15	11	cycle	cycle	NOUN
ijassa-775	15	12	is	be	AUX
ijassa-775	15	13	stabilized	stabilize	VERB
ijassa-775	15	14	locally	locally	ADV
ijassa-775	15	15	,	,	PUNCT
ijassa-775	15	16	the	the	DET
ijassa-775	15	17	system	system	NOUN
ijassa-775	15	18	path	path	NOUN
ijassa-775	15	19	will	will	AUX
ijassa-775	15	20	remain	remain	VERB
ijassa-775	15	21	in	in	ADP
ijassa-775	15	22	its	its	PRON
ijassa-775	15	23	neighborhood	neighborhood	NOUN
ijassa-775	15	24	,	,	PUNCT
ijassa-775	15	25	i.e.	i.e.	X
ijassa-775	15	26	regular	regular	ADJ
ijassa-775	15	27	movements	movement	NOUN
ijassa-775	15	28	will	will	AUX
ijassa-775	15	29	be	be	AUX
ijassa-775	15	30	observed	observe	VERB
ijassa-775	15	31	in	in	ADP
ijassa-775	15	32	the	the	DET
ijassa-775	15	33	system	system	NOUN
ijassa-775	15	34	.	.	PUNCT
ijassa-775	16	1	hence	hence	ADV
ijassa-775	16	2	,	,	PUNCT
ijassa-775	16	3	one	one	NUM
ijassa-775	16	4	of	of	ADP
ijassa-775	16	5	the	the	DET
ijassa-775	16	6	ways	way	NOUN
ijassa-775	16	7	for	for	ADP
ijassa-775	16	8	chaos	chaos	NOUN
ijassa-775	16	9	controlling	control	VERB
ijassa-775	16	10	refers	refer	VERB
ijassa-775	16	11	to	to	ADP
ijassa-775	16	12	the	the	DET
ijassa-775	16	13	local	local	ADJ
ijassa-775	16	14	stabilization	stabilization	NOUN
ijassa-775	16	15	of	of	ADP
ijassa-775	16	16	certain	certain	ADJ
ijassa-775	16	17	orbits	orbit	NOUN
ijassa-775	16	18	from	from	ADP
ijassa-775	16	19	a	a	DET
ijassa-775	16	20	chaotic	chaotic	ADJ
ijassa-775	16	21	attractor	attractor	NOUN
ijassa-775	16	22	.	.	PUNCT
ijassa-775	17	1	the	the	DET
ijassa-775	17	2	problem	problem	NOUN
ijassa-775	17	3	of	of	ADP
ijassa-775	17	4	stabilizing	stabilize	VERB
ijassa-775	17	5	cycles	cycle	NOUN
ijassa-775	17	6	is	be	AUX
ijassa-775	17	7	closely	closely	ADV
ijassa-775	17	8	related	relate	VERB
ijassa-775	17	9	to	to	ADP
ijassa-775	17	10	the	the	DET
ijassa-775	17	11	problem	problem	NOUN
ijassa-775	17	12	of	of	ADP
ijassa-775	17	13	finding	find	VERB
ijassa-775	17	14	periodic	periodic	ADJ
ijassa-775	17	15	points	point	NOUN
ijassa-775	17	16	.	.	PUNCT
ijassa-775	18	1	the	the	DET
ijassa-775	18	2	various	various	ADJ
ijassa-775	18	3	control	control	NOUN
ijassa-775	18	4	schemes	scheme	NOUN
ijassa-775	18	5	[	[	X
ijassa-775	18	6	1	1	NUM
ijassa-775	18	7	,	,	PUNCT
ijassa-775	18	8	4	4	NUM
ijassa-775	18	9	,	,	PUNCT
ijassa-775	18	10	9	9	NUM
ijassa-775	18	11	]	]	PUNCT
ijassa-775	18	12	that	that	PRON
ijassa-775	18	13	were	be	AUX
ijassa-775	18	14	proposed	propose	VERB
ijassa-775	18	15	for	for	ADP
ijassa-775	18	16	solving	solve	VERB
ijassa-775	18	17	these	these	DET
ijassa-775	18	18	problems	problem	NOUN
ijassa-775	18	19	∗corresponding	∗corresponde	VERB
ijassa-775	18	20	author	author	NOUN
ijassa-775	18	21	:	:	PUNCT
ijassa-775	18	22	ieiacob@georgiasouthern.edu	ieiacob@georgiasouthern.edu	PROPN
ijassa-775	18	23	28	28	NUM
ijassa-775	18	24	d.	d.	PROPN
ijassa-775	18	25	dmitrishin	dmitrishin	PROPN
ijassa-775	18	26	,	,	PUNCT
ijassa-775	18	27	e.	e.	PROPN
ijassa-775	18	28	iacob	iacob	PROPN
ijassa-775	18	29	,	,	PUNCT
ijassa-775	18	30	a.	a.	NOUN
ijassa-775	18	31	stokolos	stokolos	PROPN
ijassa-775	18	32	can	can	AUX
ijassa-775	18	33	be	be	AUX
ijassa-775	18	34	divided	divide	VERB
ijassa-775	18	35	into	into	ADP
ijassa-775	18	36	two	two	NUM
ijassa-775	18	37	large	large	ADJ
ijassa-775	18	38	groups	group	NOUN
ijassa-775	18	39	:	:	PUNCT
ijassa-775	18	40	direct	direct	ADJ
ijassa-775	18	41	and	and	CCONJ
ijassa-775	18	42	indirect	indirect	ADJ
ijassa-775	18	43	methods	method	NOUN
ijassa-775	18	44	.	.	PUNCT
ijassa-775	19	1	the	the	DET
ijassa-775	19	2	indirect	indirect	ADJ
ijassa-775	19	3	methods	method	NOUN
ijassa-775	19	4	either	either	CCONJ
ijassa-775	19	5	use	use	VERB
ijassa-775	19	6	the	the	DET
ijassa-775	19	7	initial	initial	ADJ
ijassa-775	19	8	mapping	mapping	NOUN
ijassa-775	19	9	t	t	NOUN
ijassa-775	19	10	iterations	iteration	NOUN
ijassa-775	19	11	or	or	CCONJ
ijassa-775	19	12	imply	imply	VERB
ijassa-775	19	13	the	the	DET
ijassa-775	19	14	construction	construction	NOUN
ijassa-775	19	15	a	a	DET
ijassa-775	19	16	system	system	NOUN
ijassa-775	19	17	of	of	ADP
ijassa-775	19	18	which	which	DET
ijassa-775	19	19	order	order	NOUN
ijassa-775	19	20	is	be	AUX
ijassa-775	19	21	t	t	PROPN
ijassa-775	19	22	times	time	NOUN
ijassa-775	19	23	greater	great	ADJ
ijassa-775	19	24	than	than	ADP
ijassa-775	19	25	the	the	DET
ijassa-775	19	26	initial	initial	ADJ
ijassa-775	19	27	system	system	NOUN
ijassa-775	19	28	order	order	NOUN
ijassa-775	19	29	(	(	PUNCT
ijassa-775	19	30	t	t	PRON
ijassa-775	19	31	being	be	AUX
ijassa-775	19	32	the	the	DET
ijassa-775	19	33	desired	desire	VERB
ijassa-775	19	34	cycle	cycle	NOUN
ijassa-775	19	35	length	length	NOUN
ijassa-775	19	36	)	)	PUNCT
ijassa-775	19	37	.	.	PUNCT
ijassa-775	20	1	then	then	ADV
ijassa-775	20	2	one	one	NUM
ijassa-775	20	3	of	of	ADP
ijassa-775	20	4	the	the	DET
ijassa-775	20	5	methods	method	NOUN
ijassa-775	20	6	of	of	ADP
ijassa-775	20	7	finding	find	VERB
ijassa-775	20	8	a	a	DET
ijassa-775	20	9	fixed	fix	VERB
ijassa-775	20	10	point	point	NOUN
ijassa-775	20	11	is	be	AUX
ijassa-775	20	12	applied	apply	VERB
ijassa-775	20	13	.	.	PUNCT
ijassa-775	21	1	the	the	DET
ijassa-775	21	2	most	most	ADV
ijassa-775	21	3	common	common	ADJ
ijassa-775	21	4	among	among	ADP
ijassa-775	21	5	fixed	fix	VERB
ijassa-775	21	6	point	point	NOUN
ijassa-775	21	7	finding	find	VERB
ijassa-775	21	8	techniques	technique	NOUN
ijassa-775	21	9	is	be	AUX
ijassa-775	21	10	the	the	DET
ijassa-775	21	11	newton	newton	PROPN
ijassa-775	21	12	-	-	PUNCT
ijassa-775	21	13	raphson	raphson	NOUN
ijassa-775	21	14	relaxation	relaxation	NOUN
ijassa-775	21	15	method	method	NOUN
ijassa-775	21	16	and	and	CCONJ
ijassa-775	21	17	its	its	PRON
ijassa-775	21	18	further	further	ADJ
ijassa-775	21	19	modifications	modification	NOUN
ijassa-775	22	1	[	[	X
ijassa-775	22	2	12	12	NUM
ijassa-775	22	3	,	,	PUNCT
ijassa-775	22	4	19	19	NUM
ijassa-775	22	5	,	,	PUNCT
ijassa-775	22	6	22	22	NUM
ijassa-775	22	7	,	,	PUNCT
ijassa-775	22	8	31	31	NUM
ijassa-775	22	9	]	]	PUNCT
ijassa-775	22	10	.	.	PUNCT
ijassa-775	23	1	the	the	DET
ijassa-775	23	2	next	next	ADJ
ijassa-775	23	3	step	step	NOUN
ijassa-775	23	4	is	be	AUX
ijassa-775	23	5	to	to	PART
ijassa-775	23	6	select	select	VERB
ijassa-775	23	7	periodic	periodic	ADJ
ijassa-775	23	8	points	point	NOUN
ijassa-775	23	9	from	from	ADP
ijassa-775	23	10	the	the	DET
ijassa-775	23	11	entire	entire	ADJ
ijassa-775	23	12	set	set	NOUN
ijassa-775	23	13	of	of	ADP
ijassa-775	23	14	fixed	fix	VERB
ijassa-775	23	15	points	point	NOUN
ijassa-775	23	16	.	.	PUNCT
ijassa-775	24	1	in	in	ADP
ijassa-775	24	2	direct	direct	ADJ
ijassa-775	24	3	methods	method	NOUN
ijassa-775	24	4	,	,	PUNCT
ijassa-775	24	5	all	all	DET
ijassa-775	24	6	the	the	DET
ijassa-775	24	7	points	point	NOUN
ijassa-775	24	8	in	in	ADP
ijassa-775	24	9	the	the	DET
ijassa-775	24	10	cycle	cycle	NOUN
ijassa-775	24	11	are	be	AUX
ijassa-775	24	12	found	find	VERB
ijassa-775	24	13	concurrently	concurrently	ADV
ijassa-775	24	14	,	,	PUNCT
ijassa-775	24	15	i.e.	i.e.	X
ijassa-775	24	16	the	the	DET
ijassa-775	24	17	whole	whole	ADJ
ijassa-775	24	18	cycle	cycle	NOUN
ijassa-775	24	19	is	be	AUX
ijassa-775	24	20	stabilized	stabilize	VERB
ijassa-775	24	21	.	.	PUNCT
ijassa-775	25	1	in	in	ADP
ijassa-775	25	2	this	this	DET
ijassa-775	25	3	case	case	NOUN
ijassa-775	25	4	,	,	PUNCT
ijassa-775	25	5	the	the	DET
ijassa-775	25	6	initial	initial	ADJ
ijassa-775	25	7	system	system	NOUN
ijassa-775	25	8	is	be	AUX
ijassa-775	25	9	closed	close	VERB
ijassa-775	25	10	by	by	ADP
ijassa-775	25	11	control	control	NOUN
ijassa-775	25	12	,	,	PUNCT
ijassa-775	25	13	based	base	VERB
ijassa-775	25	14	on	on	ADP
ijassa-775	25	15	the	the	DET
ijassa-775	25	16	feedback	feedback	NOUN
ijassa-775	25	17	principle	principle	NOUN
ijassa-775	25	18	[	[	X
ijassa-775	25	19	7	7	NUM
ijassa-775	25	20	,	,	PUNCT
ijassa-775	25	21	20	20	NUM
ijassa-775	25	22	,	,	PUNCT
ijassa-775	25	23	25	25	NUM
ijassa-775	25	24	,	,	PUNCT
ijassa-775	25	25	30	30	NUM
ijassa-775	25	26	]	]	PUNCT
ijassa-775	25	27	.	.	PUNCT
ijassa-775	26	1	among	among	ADP
ijassa-775	26	2	such	such	ADJ
ijassa-775	26	3	control	control	NOUN
ijassa-775	26	4	schemes	scheme	NOUN
ijassa-775	26	5	,	,	PUNCT
ijassa-775	26	6	the	the	DET
ijassa-775	26	7	most	most	ADV
ijassa-775	26	8	simple	simple	ADJ
ijassa-775	26	9	in	in	ADP
ijassa-775	26	10	terms	term	NOUN
ijassa-775	26	11	of	of	ADP
ijassa-775	26	12	physical	physical	ADJ
ijassa-775	26	13	implementation	implementation	NOUN
ijassa-775	26	14	are	be	AUX
ijassa-775	26	15	the	the	DET
ijassa-775	26	16	linear	linear	ADJ
ijassa-775	26	17	ones	one	NOUN
ijassa-775	26	18	.	.	PUNCT
ijassa-775	27	1	however	however	ADV
ijassa-775	27	2	,	,	PUNCT
ijassa-775	27	3	they	they	PRON
ijassa-775	27	4	have	have	VERB
ijassa-775	27	5	significant	significant	ADJ
ijassa-775	27	6	limitations	limitation	NOUN
ijassa-775	27	7	,	,	PUNCT
ijassa-775	27	8	as	as	SCONJ
ijassa-775	27	9	they	they	PRON
ijassa-775	27	10	can	can	AUX
ijassa-775	27	11	only	only	ADV
ijassa-775	27	12	be	be	AUX
ijassa-775	27	13	applied	apply	VERB
ijassa-775	27	14	to	to	ADP
ijassa-775	27	15	a	a	DET
ijassa-775	27	16	narrow	narrow	ADJ
ijassa-775	27	17	domain	domain	NOUN
ijassa-775	27	18	of	of	ADP
ijassa-775	27	19	the	the	DET
ijassa-775	27	20	space	space	NOUN
ijassa-775	27	21	of	of	ADP
ijassa-775	27	22	parameters	parameter	NOUN
ijassa-775	27	23	that	that	PRON
ijassa-775	27	24	are	be	AUX
ijassa-775	27	25	part	part	NOUN
ijassa-775	27	26	of	of	ADP
ijassa-775	27	27	the	the	DET
ijassa-775	27	28	initial	initial	ADJ
ijassa-775	27	29	nonlinear	nonlinear	ADJ
ijassa-775	27	30	system	system	NOUN
ijassa-775	27	31	[	[	X
ijassa-775	27	32	6	6	NUM
ijassa-775	27	33	,	,	PUNCT
ijassa-775	27	34	28	28	NUM
ijassa-775	27	35	,	,	PUNCT
ijassa-775	27	36	32	32	NUM
ijassa-775	27	37	]	]	PUNCT
ijassa-775	27	38	.	.	PUNCT
ijassa-775	28	1	to	to	PART
ijassa-775	28	2	overcome	overcome	VERB
ijassa-775	28	3	the	the	DET
ijassa-775	28	4	restricted	restricted	ADJ
ijassa-775	28	5	stabilization	stabilization	NOUN
ijassa-775	28	6	condition	condition	NOUN
ijassa-775	28	7	ushio	ushio	PROPN
ijassa-775	28	8	and	and	CCONJ
ijassa-775	28	9	yamamoto	yamamoto	PROPN
ijassa-775	29	1	[	[	X
ijassa-775	29	2	29	29	NUM
ijassa-775	29	3	]	]	PUNCT
ijassa-775	29	4	introduced	introduce	VERB
ijassa-775	29	5	a	a	DET
ijassa-775	29	6	prediction	prediction	NOUN
ijassa-775	29	7	-	-	PUNCT
ijassa-775	29	8	based	base	VERB
ijassa-775	29	9	feedback	feedback	NOUN
ijassa-775	29	10	control	control	NOUN
ijassa-775	29	11	method	method	NOUN
ijassa-775	29	12	for	for	ADP
ijassa-775	29	13	discrete	discrete	ADJ
ijassa-775	29	14	chaotic	chaotic	ADJ
ijassa-775	29	15	systems	system	NOUN
ijassa-775	29	16	with	with	ADP
ijassa-775	29	17	accurate	accurate	ADJ
ijassa-775	29	18	mathematical	mathematical	ADJ
ijassa-775	29	19	model	model	NOUN
ijassa-775	29	20	.	.	PUNCT
ijassa-775	30	1	b.t	b.t	PROPN
ijassa-775	30	2	.	.	PROPN
ijassa-775	30	3	polyak	polyak	NOUN
ijassa-775	31	1	[	[	X
ijassa-775	31	2	23	23	NUM
ijassa-775	31	3	]	]	PUNCT
ijassa-775	31	4	(	(	PUNCT
ijassa-775	31	5	see	see	VERB
ijassa-775	31	6	also	also	ADV
ijassa-775	31	7	[	[	X
ijassa-775	31	8	24	24	NUM
ijassa-775	31	9	]	]	PUNCT
ijassa-775	31	10	)	)	PUNCT
ijassa-775	31	11	proposed	propose	VERB
ijassa-775	31	12	a	a	DET
ijassa-775	31	13	direct	direct	ADJ
ijassa-775	31	14	predictive	predictive	ADJ
ijassa-775	31	15	control	control	NOUN
ijassa-775	31	16	method	method	NOUN
ijassa-775	31	17	that	that	PRON
ijassa-775	31	18	works	work	VERB
ijassa-775	31	19	well	well	ADV
ijassa-775	31	20	for	for	ADP
ijassa-775	31	21	one	one	NUM
ijassa-775	31	22	-	-	PUNCT
ijassa-775	31	23	dimensional	dimensional	ADJ
ijassa-775	31	24	as	as	ADV
ijassa-775	31	25	well	well	ADV
ijassa-775	31	26	as	as	ADP
ijassa-775	31	27	multidimensional	multidimensional	ADJ
ijassa-775	31	28	maps	map	NOUN
ijassa-775	31	29	.	.	PUNCT
ijassa-775	32	1	l.	l.	PROPN
ijassa-775	32	2	shalby	shalby	PROPN
ijassa-775	32	3	[	[	X
ijassa-775	32	4	27	27	NUM
ijassa-775	32	5	]	]	PUNCT
ijassa-775	32	6	used	use	VERB
ijassa-775	32	7	predictive	predictive	ADJ
ijassa-775	32	8	feedback	feedback	NOUN
ijassa-775	32	9	control	control	NOUN
ijassa-775	32	10	method	method	NOUN
ijassa-775	32	11	for	for	ADP
ijassa-775	32	12	stabilization	stabilization	NOUN
ijassa-775	32	13	of	of	ADP
ijassa-775	32	14	continuous	continuous	ADJ
ijassa-775	32	15	time	time	NOUN
ijassa-775	32	16	systems	system	NOUN
ijassa-775	32	17	.	.	PUNCT
ijassa-775	33	1	another	another	DET
ijassa-775	33	2	possible	possible	ADJ
ijassa-775	33	3	control	control	NOUN
ijassa-775	33	4	schemes	scheme	NOUN
ijassa-775	33	5	classification	classification	NOUN
ijassa-775	33	6	into	into	ADP
ijassa-775	33	7	two	two	NUM
ijassa-775	33	8	groups	group	NOUN
ijassa-775	33	9	:	:	PUNCT
ijassa-775	33	10	methods	method	NOUN
ijassa-775	33	11	using	use	VERB
ijassa-775	33	12	the	the	DET
ijassa-775	33	13	jacobi	jacobi	PROPN
ijassa-775	33	14	matrix	matrix	NOUN
ijassa-775	33	15	and	and	CCONJ
ijassa-775	33	16	methods	method	NOUN
ijassa-775	33	17	not	not	PART
ijassa-775	33	18	based	base	VERB
ijassa-775	33	19	on	on	ADP
ijassa-775	33	20	this	this	DET
ijassa-775	33	21	matrix	matrix	NOUN
ijassa-775	33	22	.	.	PUNCT
ijassa-775	34	1	naturally	naturally	ADV
ijassa-775	34	2	,	,	PUNCT
ijassa-775	34	3	it	it	PRON
ijassa-775	34	4	is	be	AUX
ijassa-775	34	5	assumed	assume	VERB
ijassa-775	34	6	that	that	SCONJ
ijassa-775	34	7	the	the	DET
ijassa-775	34	8	jacobi	jacobi	PROPN
ijassa-775	34	9	matrix	matrix	NOUN
ijassa-775	34	10	at	at	ADP
ijassa-775	34	11	the	the	DET
ijassa-775	34	12	cycle	cycle	NOUN
ijassa-775	34	13	points	point	NOUN
ijassa-775	34	14	is	be	AUX
ijassa-775	34	15	not	not	PART
ijassa-775	34	16	properly	properly	ADV
ijassa-775	34	17	known	know	VERB
ijassa-775	34	18	,	,	PUNCT
ijassa-775	34	19	otherwise	otherwise	ADV
ijassa-775	34	20	it	it	PRON
ijassa-775	34	21	would	would	AUX
ijassa-775	34	22	be	be	AUX
ijassa-775	34	23	possible	possible	ADJ
ijassa-775	34	24	to	to	PART
ijassa-775	34	25	use	use	VERB
ijassa-775	34	26	the	the	DET
ijassa-775	34	27	whole	whole	ADJ
ijassa-775	34	28	powerful	powerful	ADJ
ijassa-775	34	29	apparatus	apparatus	NOUN
ijassa-775	34	30	of	of	ADP
ijassa-775	34	31	the	the	DET
ijassa-775	34	32	linear	linear	PROPN
ijassa-775	34	33	control	control	PROPN
ijassa-775	34	34	theory	theory	NOUN
ijassa-775	34	35	applied	apply	VERB
ijassa-775	34	36	to	to	ADP
ijassa-775	34	37	systems	system	NOUN
ijassa-775	34	38	linearized	linearize	VERB
ijassa-775	34	39	in	in	ADP
ijassa-775	34	40	the	the	DET
ijassa-775	34	41	cycle	cycle	NOUN
ijassa-775	34	42	neighborhood	neighborhood	NOUN
ijassa-775	34	43	.	.	PUNCT
ijassa-775	35	1	the	the	DET
ijassa-775	35	2	jacobi	jacobi	PROPN
ijassa-775	35	3	matrix	matrix	NOUN
ijassa-775	35	4	is	be	AUX
ijassa-775	35	5	an	an	DET
ijassa-775	35	6	indispensable	indispensable	ADJ
ijassa-775	35	7	attribute	attribute	NOUN
ijassa-775	35	8	of	of	ADP
ijassa-775	35	9	newton	newton	PROPN
ijassa-775	35	10	-	-	PUNCT
ijassa-775	35	11	raphson	raphson	NOUN
ijassa-775	35	12	-	-	PUNCT
ijassa-775	35	13	type	type	NOUN
ijassa-775	35	14	methods	method	NOUN
ijassa-775	35	15	.	.	PUNCT
ijassa-775	36	1	this	this	DET
ijassa-775	36	2	matrix	matrix	NOUN
ijassa-775	36	3	is	be	AUX
ijassa-775	36	4	also	also	ADV
ijassa-775	36	5	used	use	VERB
ijassa-775	36	6	in	in	ADP
ijassa-775	36	7	one	one	NUM
ijassa-775	36	8	of	of	ADP
ijassa-775	36	9	the	the	DET
ijassa-775	36	10	modifications	modification	NOUN
ijassa-775	36	11	derived	derive	VERB
ijassa-775	36	12	from	from	ADP
ijassa-775	36	13	polyak	polyak	NOUN
ijassa-775	36	14	predictive	predictive	PROPN
ijassa-775	36	15	control	control	PROPN
ijassa-775	36	16	method	method	NOUN
ijassa-775	36	17	.	.	PUNCT
ijassa-775	37	1	one	one	NUM
ijassa-775	37	2	of	of	ADP
ijassa-775	37	3	the	the	DET
ijassa-775	37	4	main	main	ADJ
ijassa-775	37	5	disadvantages	disadvantage	NOUN
ijassa-775	37	6	of	of	ADP
ijassa-775	37	7	polyak	polyak	NOUN
ijassa-775	37	8	scheme	scheme	NOUN
ijassa-775	37	9	refers	refer	VERB
ijassa-775	37	10	to	to	ADP
ijassa-775	37	11	the	the	DET
ijassa-775	37	12	need	need	NOUN
ijassa-775	37	13	for	for	ADP
ijassa-775	37	14	knowing	know	VERB
ijassa-775	37	15	the	the	DET
ijassa-775	37	16	jacobi	jacobi	PROPN
ijassa-775	37	17	matrix	matrix	NOUN
ijassa-775	37	18	for	for	ADP
ijassa-775	37	19	the	the	DET
ijassa-775	37	20	cycle	cycle	NOUN
ijassa-775	37	21	,	,	PUNCT
ijassa-775	37	22	or	or	CCONJ
ijassa-775	37	23	at	at	ADP
ijassa-775	37	24	least	least	ADJ
ijassa-775	37	25	the	the	DET
ijassa-775	37	26	need	need	NOUN
ijassa-775	37	27	for	for	ADP
ijassa-775	37	28	sufficiently	sufficiently	ADV
ijassa-775	37	29	good	good	ADJ
ijassa-775	37	30	estimates	estimate	NOUN
ijassa-775	37	31	of	of	ADP
ijassa-775	37	32	the	the	DET
ijassa-775	37	33	cycle	cycle	NOUN
ijassa-775	37	34	multipliers	multiplier	NOUN
ijassa-775	37	35	.	.	PUNCT
ijassa-775	38	1	the	the	DET
ijassa-775	38	2	research	research	NOUN
ijassa-775	38	3	exposed	expose	VERB
ijassa-775	38	4	herein	herein	NOUN
ijassa-775	38	5	is	be	AUX
ijassa-775	38	6	purposed	purpose	VERB
ijassa-775	38	7	to	to	PART
ijassa-775	38	8	improve	improve	VERB
ijassa-775	38	9	the	the	DET
ijassa-775	38	10	polyak	polyak	NOUN
ijassa-775	38	11	method	method	NOUN
ijassa-775	38	12	by	by	ADP
ijassa-775	38	13	replacing	replace	VERB
ijassa-775	38	14	it	it	PRON
ijassa-775	38	15	with	with	ADP
ijassa-775	38	16	mixed	mixed	ADJ
ijassa-775	38	17	predicted	predict	VERB
ijassa-775	38	18	values	value	NOUN
ijassa-775	38	19	.	.	PUNCT
ijassa-775	39	1	a	a	DET
ijassa-775	39	2	jacobi	jacobi	PROPN
ijassa-775	39	3	matrix	matrix	NOUN
ijassa-775	39	4	representation	representation	NOUN
ijassa-775	39	5	for	for	ADP
ijassa-775	39	6	the	the	DET
ijassa-775	39	7	t	t	PROPN
ijassa-775	39	8	cycle	cycle	NOUN
ijassa-775	39	9	at	at	ADP
ijassa-775	39	10	a	a	DET
ijassa-775	39	11	controlled	control	VERB
ijassa-775	39	12	system	system	NOUN
ijassa-775	39	13	is	be	AUX
ijassa-775	39	14	found	find	VERB
ijassa-775	39	15	through	through	ADP
ijassa-775	39	16	the	the	DET
ijassa-775	39	17	jacobi	jacobi	PROPN
ijassa-775	39	18	matrix	matrix	NOUN
ijassa-775	39	19	of	of	ADP
ijassa-775	39	20	the	the	DET
ijassa-775	39	21	same	same	ADJ
ijassa-775	39	22	cycle	cycle	NOUN
ijassa-775	39	23	in	in	ADP
ijassa-775	39	24	the	the	DET
ijassa-775	39	25	initial	initial	ADJ
ijassa-775	39	26	system	system	NOUN
ijassa-775	39	27	.	.	PUNCT
ijassa-775	40	1	therefore	therefore	ADV
ijassa-775	40	2	,	,	PUNCT
ijassa-775	40	3	the	the	DET
ijassa-775	40	4	correspondence	correspondence	NOUN
ijassa-775	40	5	between	between	ADP
ijassa-775	40	6	the	the	DET
ijassa-775	40	7	cycle	cycle	NOUN
ijassa-775	40	8	multipliers	multiplier	NOUN
ijassa-775	40	9	of	of	ADP
ijassa-775	40	10	the	the	DET
ijassa-775	40	11	open	open	ADJ
ijassa-775	40	12	loop	loop	NOUN
ijassa-775	40	13	system	system	NOUN
ijassa-775	40	14	and	and	CCONJ
ijassa-775	40	15	those	those	PRON
ijassa-775	40	16	of	of	ADP
ijassa-775	40	17	closed	closed	ADJ
ijassa-775	40	18	loop	loop	NOUN
ijassa-775	40	19	system	system	NOUN
ijassa-775	40	20	is	be	AUX
ijassa-775	40	21	established	establish	VERB
ijassa-775	40	22	.	.	PUNCT
ijassa-775	41	1	below	below	ADV
ijassa-775	41	2	,	,	PUNCT
ijassa-775	41	3	it	it	PRON
ijassa-775	41	4	is	be	AUX
ijassa-775	41	5	assumed	assume	VERB
ijassa-775	41	6	that	that	SCONJ
ijassa-775	41	7	the	the	DET
ijassa-775	41	8	initial	initial	ADJ
ijassa-775	41	9	system	system	NOUN
ijassa-775	41	10	cycle	cycle	NOUN
ijassa-775	41	11	multipliers	multiplier	NOUN
ijassa-775	41	12	are	be	AUX
ijassa-775	41	13	not	not	PART
ijassa-775	41	14	exactly	exactly	ADV
ijassa-775	41	15	known	know	VERB
ijassa-775	41	16	,	,	PUNCT
ijassa-775	41	17	we	we	PRON
ijassa-775	41	18	only	only	ADV
ijassa-775	41	19	know	know	VERB
ijassa-775	41	20	the	the	DET
ijassa-775	41	21	range	range	NOUN
ijassa-775	41	22	of	of	ADP
ijassa-775	41	23	their	their	PRON
ijassa-775	41	24	localization	localization	NOUN
ijassa-775	41	25	.	.	PUNCT
ijassa-775	42	1	then	then	ADV
ijassa-775	42	2	the	the	DET
ijassa-775	42	3	solution	solution	NOUN
ijassa-775	42	4	of	of	ADP
ijassa-775	42	5	cycles	cycle	NOUN
ijassa-775	42	6	robust	robust	ADJ
ijassa-775	42	7	stabilization	stabilization	NOUN
ijassa-775	42	8	problem	problem	NOUN
ijassa-775	42	9	for	for	ADP
ijassa-775	42	10	various	various	ADJ
ijassa-775	42	11	localization	localization	NOUN
ijassa-775	42	12	of	of	ADP
ijassa-775	42	13	multipliers	multiplier	NOUN
ijassa-775	42	14	is	be	AUX
ijassa-775	42	15	given	give	VERB
ijassa-775	42	16	,	,	PUNCT
ijassa-775	42	17	and	and	CCONJ
ijassa-775	42	18	taking	take	VERB
ijassa-775	42	19	into	into	ADP
ijassa-775	42	20	account	account	NOUN
ijassa-775	42	21	these	these	DET
ijassa-775	42	22	general	general	ADJ
ijassa-775	42	23	provisions	provision	NOUN
ijassa-775	42	24	the	the	DET
ijassa-775	42	25	polyak	polyak	NOUN
ijassa-775	42	26	method	method	NOUN
ijassa-775	42	27	is	be	AUX
ijassa-775	42	28	considered	consider	VERB
ijassa-775	42	29	.	.	PUNCT
ijassa-775	43	1	it	it	PRON
ijassa-775	43	2	is	be	AUX
ijassa-775	43	3	worth	worth	ADJ
ijassa-775	43	4	noting	note	VERB
ijassa-775	43	5	that	that	SCONJ
ijassa-775	43	6	in	in	ADP
ijassa-775	43	7	the	the	DET
ijassa-775	43	8	general	general	ADJ
ijassa-775	43	9	case	case	NOUN
ijassa-775	43	10	of	of	ADP
ijassa-775	43	11	complex	complex	ADJ
ijassa-775	43	12	multipliers	multiplier	NOUN
ijassa-775	43	13	,	,	PUNCT
ijassa-775	43	14	we	we	PRON
ijassa-775	43	15	must	must	AUX
ijassa-775	43	16	know	know	VERB
ijassa-775	43	17	precisely	precisely	ADV
ijassa-775	43	18	enough	enough	ADV
ijassa-775	43	19	their	their	PRON
ijassa-775	43	20	localization	localization	NOUN
ijassa-775	43	21	regions	region	NOUN
ijassa-775	43	22	.	.	PUNCT
ijassa-775	44	1	at	at	ADP
ijassa-775	44	2	the	the	DET
ijassa-775	44	3	end	end	NOUN
ijassa-775	44	4	,	,	PUNCT
ijassa-775	44	5	the	the	DET
ijassa-775	44	6	applications	application	NOUN
ijassa-775	44	7	of	of	ADP
ijassa-775	44	8	proposed	propose	VERB
ijassa-775	44	9	predictive	predictive	ADJ
ijassa-775	44	10	control	control	NOUN
ijassa-775	44	11	scheme	scheme	NOUN
ijassa-775	44	12	to	to	PART
ijassa-775	44	13	stabilize	stabilize	VERB
ijassa-775	44	14	the	the	DET
ijassa-775	44	15	cycles	cycle	NOUN
ijassa-775	44	16	of	of	ADP
ijassa-775	44	17	some	some	DET
ijassa-775	44	18	common	common	ADJ
ijassa-775	44	19	systems	system	NOUN
ijassa-775	44	20	in	in	ADP
ijassa-775	44	21	physics	physics	NOUN
ijassa-775	44	22	literature	literature	NOUN
ijassa-775	44	23	are	be	AUX
ijassa-775	44	24	considered	consider	VERB
ijassa-775	44	25	.	.	PUNCT
ijassa-775	45	1	copyright	copyright	NOUN
ijassa-775	45	2	c	c	ADP
ijassa-775	45	3	©	©	PROPN
ijassa-775	45	4	2020	2020	NUM
ijassa-775	45	5	assa	assa	NOUN
ijassa-775	45	6	.	.	PUNCT
ijassa-775	46	1	adv	adv	PROPN
ijassa-775	46	2	syst	syst	PROPN
ijassa-775	46	3	sci	sci	PROPN
ijassa-775	46	4	appl	appl	PROPN
ijassa-775	46	5	(	(	PUNCT
ijassa-775	46	6	2020	2020	NUM
ijassa-775	46	7	)	)	PUNCT
ijassa-775	46	8	average	average	ADJ
ijassa-775	46	9	predictive	predictive	ADJ
ijassa-775	46	10	control	control	NOUN
ijassa-775	46	11	29	29	NUM
ijassa-775	46	12	2	2	NUM
ijassa-775	46	13	.	.	PUNCT
ijassa-775	47	1	problem	problem	NOUN
ijassa-775	47	2	statement	statement	NOUN
ijassa-775	47	3	considered	consider	VERB
ijassa-775	47	4	is	be	AUX
ijassa-775	47	5	a	a	DET
ijassa-775	47	6	nonlinear	nonlinear	ADJ
ijassa-775	47	7	discrete	discrete	ADJ
ijassa-775	47	8	system	system	NOUN
ijassa-775	47	9	xn+1	xn+1	PROPN
ijassa-775	47	10	=	=	SYM
ijassa-775	47	11	f	f	PROPN
ijassa-775	47	12	(	(	PUNCT
ijassa-775	47	13	xn	xn	PROPN
ijassa-775	47	14	)	)	PUNCT
ijassa-775	47	15	,	,	PUNCT
ijassa-775	47	16	xn	xn	PROPN
ijassa-775	47	17	∈	∈	PROPN
ijassa-775	47	18	rm	rm	PROPN
ijassa-775	47	19	,	,	PUNCT
ijassa-775	47	20	n	n	NOUN
ijassa-775	47	21	=	=	SYM
ijassa-775	47	22	1	1	NUM
ijassa-775	47	23	,	,	PUNCT
ijassa-775	47	24	2	2	NUM
ijassa-775	47	25	,	,	PUNCT
ijassa-775	47	26	.	.	PUNCT
ijassa-775	47	27	.	.	PUNCT
ijassa-775	48	1	.	.	PUNCT
ijassa-775	49	1	,	,	PUNCT
ijassa-775	49	2	(	(	PUNCT
ijassa-775	49	3	2.1	2.1	NUM
ijassa-775	49	4	)	)	PUNCT
ijassa-775	49	5	where	where	SCONJ
ijassa-775	49	6	f(x	f(x	PROPN
ijassa-775	49	7	)	)	PUNCT
ijassa-775	49	8	is	be	AUX
ijassa-775	49	9	a	a	DET
ijassa-775	49	10	differentiable	differentiable	ADJ
ijassa-775	49	11	vector	vector	NOUN
ijassa-775	49	12	function	function	NOUN
ijassa-775	49	13	of	of	ADP
ijassa-775	49	14	corresponding	corresponding	ADJ
ijassa-775	49	15	dimension	dimension	NOUN
ijassa-775	49	16	.	.	PUNCT
ijassa-775	50	1	the	the	DET
ijassa-775	50	2	differentiability	differentiability	NOUN
ijassa-775	50	3	is	be	AUX
ijassa-775	50	4	redundant	redundant	ADJ
ijassa-775	50	5	and	and	CCONJ
ijassa-775	50	6	can	can	AUX
ijassa-775	50	7	be	be	AUX
ijassa-775	50	8	relaxed	relax	VERB
ijassa-775	50	9	(	(	PUNCT
ijassa-775	50	10	f(x	f(x	PROPN
ijassa-775	50	11	)	)	PUNCT
ijassa-775	50	12	needs	need	VERB
ijassa-775	50	13	to	to	PART
ijassa-775	50	14	be	be	AUX
ijassa-775	50	15	differentiable	differentiable	ADJ
ijassa-775	50	16	only	only	ADV
ijassa-775	50	17	at	at	ADP
ijassa-775	50	18	the	the	DET
ijassa-775	50	19	cycle	cycle	NOUN
ijassa-775	50	20	points	point	NOUN
ijassa-775	50	21	,	,	PUNCT
ijassa-775	50	22	c.f	c.f	PROPN
ijassa-775	50	23	.	.	PUNCT
ijassa-775	51	1	[	[	X
ijassa-775	51	2	23	23	NUM
ijassa-775	51	3	]	]	PUNCT
ijassa-775	51	4	)	)	PUNCT
ijassa-775	51	5	.	.	PUNCT
ijassa-775	52	1	it	it	PRON
ijassa-775	52	2	is	be	AUX
ijassa-775	52	3	assumed	assume	VERB
ijassa-775	52	4	that	that	SCONJ
ijassa-775	52	5	the	the	DET
ijassa-775	52	6	system	system	NOUN
ijassa-775	52	7	(	(	PUNCT
ijassa-775	52	8	2.1	2.1	NUM
ijassa-775	52	9	)	)	PUNCT
ijassa-775	52	10	has	have	VERB
ijassa-775	52	11	an	an	DET
ijassa-775	52	12	invariant	invariant	ADJ
ijassa-775	52	13	convex	convex	NOUN
ijassa-775	52	14	set	set	VERB
ijassa-775	52	15	a	a	DET
ijassa-775	52	16	,	,	PUNCT
ijassa-775	52	17	i.e.	i.e.	X
ijassa-775	52	18	if	if	SCONJ
ijassa-775	52	19	ξ	ξ	PROPN
ijassa-775	52	20	∈	∈	PROPN
ijassa-775	52	21	a	a	DET
ijassa-775	52	22	,	,	PUNCT
ijassa-775	52	23	then	then	ADV
ijassa-775	52	24	f(ξ	f(ξ	X
ijassa-775	52	25	)	)	PUNCT
ijassa-775	52	26	∈	∈	NOUN
ijassa-775	52	27	a.	a.	NOUN
ijassa-775	52	28	we	we	PRON
ijassa-775	52	29	emphasize	emphasize	VERB
ijassa-775	52	30	that	that	SCONJ
ijassa-775	52	31	we	we	PRON
ijassa-775	52	32	do	do	AUX
ijassa-775	52	33	not	not	PART
ijassa-775	52	34	assume	assume	VERB
ijassa-775	52	35	that	that	SCONJ
ijassa-775	52	36	the	the	DET
ijassa-775	52	37	set	set	NOUN
ijassa-775	52	38	a	a	PRON
ijassa-775	52	39	is	be	AUX
ijassa-775	52	40	a	a	DET
ijassa-775	52	41	minimally	minimally	ADV
ijassa-775	52	42	convex	convex	NOUN
ijassa-775	52	43	set	set	NOUN
ijassa-775	52	44	.	.	PUNCT
ijassa-775	53	1	it	it	PRON
ijassa-775	53	2	is	be	AUX
ijassa-775	53	3	also	also	ADV
ijassa-775	53	4	assumed	assume	VERB
ijassa-775	53	5	that	that	SCONJ
ijassa-775	53	6	this	this	DET
ijassa-775	53	7	system	system	NOUN
ijassa-775	53	8	has	have	VERB
ijassa-775	53	9	one	one	NUM
ijassa-775	53	10	or	or	CCONJ
ijassa-775	53	11	several	several	ADJ
ijassa-775	53	12	unstable	unstable	ADJ
ijassa-775	53	13	t	t	NOUN
ijassa-775	53	14	cycles	cycle	NOUN
ijassa-775	53	15	{	{	PUNCT
ijassa-775	53	16	η1	η1	NOUN
ijassa-775	53	17	,	,	PUNCT
ijassa-775	53	18	.	.	PUNCT
ijassa-775	53	19	.	.	PUNCT
ijassa-775	54	1	.	.	PUNCT
ijassa-775	55	1	,	,	PUNCT
ijassa-775	55	2	ηt	ηt	ADP
ijassa-775	55	3	}	}	PUNCT
ijassa-775	55	4	,	,	PUNCT
ijassa-775	55	5	where	where	SCONJ
ijassa-775	55	6	all	all	DET
ijassa-775	55	7	vectors	vector	NOUN
ijassa-775	55	8	are	be	AUX
ijassa-775	55	9	different	different	ADJ
ijassa-775	55	10	and	and	CCONJ
ijassa-775	55	11	belong	belong	VERB
ijassa-775	55	12	to	to	ADP
ijassa-775	55	13	the	the	DET
ijassa-775	55	14	invariant	invariant	PROPN
ijassa-775	55	15	set	set	VERB
ijassa-775	55	16	a	a	DET
ijassa-775	55	17	,	,	PUNCT
ijassa-775	55	18	i.e.	i.e.	X
ijassa-775	55	19	ηj+1	ηj+1	PRON
ijassa-775	55	20	=	=	SYM
ijassa-775	55	21	f	f	PROPN
ijassa-775	55	22	(	(	PUNCT
ijassa-775	55	23	ηj	ηj	NOUN
ijassa-775	55	24	)	)	PUNCT
ijassa-775	55	25	,	,	PUNCT
ijassa-775	55	26	j	j	PROPN
ijassa-775	55	27	=	=	SYM
ijassa-775	55	28	1	1	NUM
ijassa-775	55	29	,	,	PUNCT
ijassa-775	55	30	.	.	PUNCT
ijassa-775	55	31	.	.	PUNCT
ijassa-775	55	32	.	.	PUNCT
ijassa-775	56	1	,	,	PUNCT
ijassa-775	56	2	t	t	X
ijassa-775	56	3	−	−	PROPN
ijassa-775	56	4	1	1	NUM
ijassa-775	56	5	,	,	PUNCT
ijassa-775	56	6	η1	η1	NOUN
ijassa-775	56	7	=	=	SYM
ijassa-775	56	8	f	f	PROPN
ijassa-775	56	9	(	(	PUNCT
ijassa-775	56	10	ηt	ηt	ADP
ijassa-775	56	11	)	)	PUNCT
ijassa-775	56	12	.	.	PUNCT
ijassa-775	57	1	the	the	DET
ijassa-775	57	2	considered	consider	VERB
ijassa-775	57	3	unstable	unstable	ADJ
ijassa-775	57	4	cycles	cycle	NOUN
ijassa-775	57	5	multipliers	multiplier	NOUN
ijassa-775	57	6	are	be	AUX
ijassa-775	57	7	determined	determine	VERB
ijassa-775	57	8	as	as	ADP
ijassa-775	57	9	eigenvalues	eigenvalue	NOUN
ijassa-775	57	10	of	of	ADP
ijassa-775	57	11	the	the	DET
ijassa-775	57	12	product	product	NOUN
ijassa-775	57	13	of	of	ADP
ijassa-775	57	14	jacobi	jacobi	PROPN
ijassa-775	57	15	matrices	matrice	VERB
ijassa-775	58	1	t∏	t∏	PROPN
ijassa-775	58	2	j=1	j=1	PROPN
ijassa-775	59	1	f	f	X
ijassa-775	60	1	′	′	NUM
ijassa-775	60	2	(	(	PUNCT
ijassa-775	60	3	ηt−j+1	ηt−j+1	PROPN
ijassa-775	60	4	)	)	PUNCT
ijassa-775	60	5	of	of	ADP
ijassa-775	60	6	dimensions	dimension	NOUN
ijassa-775	60	7	m×m	m×m	ADJ
ijassa-775	60	8	at	at	ADP
ijassa-775	60	9	the	the	DET
ijassa-775	60	10	cycle	cycle	NOUN
ijassa-775	60	11	points	point	NOUN
ijassa-775	60	12	.	.	PUNCT
ijassa-775	61	1	the	the	DET
ijassa-775	61	2	matrix	matrix	NOUN
ijassa-775	61	3	t∏	t∏	PROPN
ijassa-775	62	1	j=1	j=1	NOUN
ijassa-775	63	1	f	f	X
ijassa-775	63	2	′	′	NUM
ijassa-775	63	3	(	(	PUNCT
ijassa-775	63	4	ηt−j+1	ηt−j+1	PROPN
ijassa-775	63	5	)	)	PUNCT
ijassa-775	63	6	is	be	AUX
ijassa-775	63	7	called	call	VERB
ijassa-775	63	8	the	the	DET
ijassa-775	63	9	jacobi	jacobi	PROPN
ijassa-775	63	10	matrix	matrix	NOUN
ijassa-775	63	11	of	of	ADP
ijassa-775	63	12	the	the	DET
ijassa-775	63	13	cycle	cycle	NOUN
ijassa-775	63	14	{	{	PUNCT
ijassa-775	63	15	η1	η1	NOUN
ijassa-775	63	16	,	,	PUNCT
ijassa-775	63	17	.	.	PUNCT
ijassa-775	63	18	.	.	PUNCT
ijassa-775	64	1	.	.	PUNCT
ijassa-775	65	1	,	,	PUNCT
ijassa-775	65	2	ηt	ηt	ADP
ijassa-775	65	3	}	}	PUNCT
ijassa-775	65	4	.	.	PUNCT
ijassa-775	66	1	typically	typically	ADV
ijassa-775	66	2	,	,	PUNCT
ijassa-775	66	3	a	a	DET
ijassa-775	66	4	priori	priori	ADJ
ijassa-775	66	5	the	the	DET
ijassa-775	66	6	cycles	cycle	NOUN
ijassa-775	66	7	of	of	ADP
ijassa-775	66	8	the	the	DET
ijassa-775	66	9	system	system	NOUN
ijassa-775	66	10	(	(	PUNCT
ijassa-775	66	11	2.1	2.1	NUM
ijassa-775	66	12	)	)	PUNCT
ijassa-775	66	13	are	be	AUX
ijassa-775	66	14	not	not	PART
ijassa-775	66	15	known	know	VERB
ijassa-775	66	16	.	.	PUNCT
ijassa-775	67	1	consequently	consequently	ADV
ijassa-775	67	2	,	,	PUNCT
ijassa-775	67	3	the	the	DET
ijassa-775	67	4	spectrum	spectrum	NOUN
ijassa-775	67	5	{	{	PUNCT
ijassa-775	67	6	µ1	µ1	PROPN
ijassa-775	67	7	,	,	PUNCT
ijassa-775	67	8	.	.	PUNCT
ijassa-775	67	9	.	.	PUNCT
ijassa-775	67	10	.	.	PUNCT
ijassa-775	68	1	,	,	PUNCT
ijassa-775	68	2	µm	µm	NOUN
ijassa-775	68	3	}	}	PUNCT
ijassa-775	68	4	of	of	ADP
ijassa-775	68	5	the	the	DET
ijassa-775	68	6	matrix	matrix	NOUN
ijassa-775	69	1	t∏	t∏	PROPN
ijassa-775	69	2	j=1	j=1	NOUN
ijassa-775	70	1	f	f	X
ijassa-775	70	2	′	′	NUM
ijassa-775	70	3	(	(	PUNCT
ijassa-775	70	4	ηt−j+1	ηt−j+1	PROPN
ijassa-775	70	5	)	)	PUNCT
ijassa-775	70	6	is	be	AUX
ijassa-775	70	7	unknown	unknown	ADJ
ijassa-775	70	8	as	as	ADV
ijassa-775	70	9	well	well	ADV
ijassa-775	70	10	.	.	PUNCT
ijassa-775	71	1	the	the	DET
ijassa-775	71	2	spectrum	spectrum	NOUN
ijassa-775	71	3	elements	element	NOUN
ijassa-775	71	4	are	be	AUX
ijassa-775	71	5	called	call	VERB
ijassa-775	71	6	cycle	cycle	NOUN
ijassa-775	71	7	multipliers	multiplier	NOUN
ijassa-775	71	8	.	.	PUNCT
ijassa-775	72	1	below	below	ADV
ijassa-775	72	2	,	,	PUNCT
ijassa-775	72	3	we	we	PRON
ijassa-775	72	4	assume	assume	VERB
ijassa-775	72	5	that	that	SCONJ
ijassa-775	72	6	some	some	DET
ijassa-775	72	7	estimates	estimate	NOUN
ijassa-775	72	8	on	on	ADP
ijassa-775	72	9	the	the	DET
ijassa-775	72	10	localization	localization	NOUN
ijassa-775	72	11	set	set	VERB
ijassa-775	72	12	m	m	PRON
ijassa-775	72	13	for	for	SCONJ
ijassa-775	72	14	the	the	DET
ijassa-775	72	15	cycle	cycle	NOUN
ijassa-775	72	16	multipliers	multiplier	NOUN
ijassa-775	72	17	are	be	AUX
ijassa-775	72	18	known	know	VERB
ijassa-775	72	19	.	.	PUNCT
ijassa-775	73	1	let	let	VERB
ijassa-775	73	2	us	we	PRON
ijassa-775	73	3	consider	consider	VERB
ijassa-775	73	4	the	the	DET
ijassa-775	73	5	control	control	NOUN
ijassa-775	73	6	system	system	NOUN
ijassa-775	73	7	xn+1	xn+1	PROPN
ijassa-775	73	8	=	=	SYM
ijassa-775	73	9	f(xn	f(xn	X
ijassa-775	73	10	)	)	PUNCT
ijassa-775	74	1	+	+	CCONJ
ijassa-775	75	1	un	un	PROPN
ijassa-775	75	2	,	,	PUNCT
ijassa-775	75	3	(	(	PUNCT
ijassa-775	75	4	2.2	2.2	NUM
ijassa-775	75	5	)	)	PUNCT
ijassa-775	75	6	where	where	SCONJ
ijassa-775	75	7	un	un	PROPN
ijassa-775	75	8	=	=	PRON
ijassa-775	75	9	(	(	PUNCT
ijassa-775	75	10	θ1	θ1	NOUN
ijassa-775	75	11	−	−	PROPN
ijassa-775	75	12	1)f(xn	1)f(xn	NUM
ijassa-775	75	13	)	)	PUNCT
ijassa-775	75	14	+	+	CCONJ
ijassa-775	75	15	n∑	n∑	PROPN
ijassa-775	75	16	j=2	j=2	PROPN
ijassa-775	75	17	θjf	θjf	VERB
ijassa-775	75	18	(	(	PUNCT
ijassa-775	75	19	(	(	PUNCT
ijassa-775	75	20	j−1)t+1)(xn	j−1)t+1)(xn	NOUN
ijassa-775	75	21	)	)	PUNCT
ijassa-775	75	22	,	,	PUNCT
ijassa-775	75	23	f	f	PROPN
ijassa-775	75	24	(	(	PUNCT
ijassa-775	75	25	1)(x	1)(x	NUM
ijassa-775	75	26	)	)	PUNCT
ijassa-775	75	27	=	=	SYM
ijassa-775	75	28	f(x	f(x	PROPN
ijassa-775	75	29	)	)	PUNCT
ijassa-775	75	30	,	,	PUNCT
ijassa-775	75	31	f	f	PROPN
ijassa-775	75	32	(	(	PUNCT
ijassa-775	75	33	k)(x	k)(x	PROPN
ijassa-775	75	34	)	)	PUNCT
ijassa-775	76	1	=	=	SYM
ijassa-775	76	2	f	f	PROPN
ijassa-775	76	3	(	(	PUNCT
ijassa-775	76	4	f	f	PROPN
ijassa-775	76	5	(	(	PUNCT
ijassa-775	76	6	k−1)(x	k−1)(x	PROPN
ijassa-775	76	7	)	)	PUNCT
ijassa-775	76	8	)	)	PUNCT
ijassa-775	76	9	,	,	PUNCT
ijassa-775	77	1	k	k	NOUN
ijassa-775	77	2	=	=	SYM
ijassa-775	77	3	2	2	NUM
ijassa-775	77	4	,	,	PUNCT
ijassa-775	77	5	.	.	PUNCT
ijassa-775	77	6	.	.	PUNCT
ijassa-775	77	7	.	.	PUNCT
ijassa-775	78	1	,	,	PUNCT
ijassa-775	78	2	(	(	PUNCT
ijassa-775	78	3	n	n	CCONJ
ijassa-775	78	4	−	−	PROPN
ijassa-775	78	5	1)t	1)t	PROPN
ijassa-775	78	6	+	+	CCONJ
ijassa-775	78	7	1	1	X
ijassa-775	78	8	.	.	PUNCT
ijassa-775	79	1	the	the	DET
ijassa-775	79	2	numbers	number	NOUN
ijassa-775	79	3	θ1	θ1	NOUN
ijassa-775	79	4	,	,	PUNCT
ijassa-775	79	5	.	.	PUNCT
ijassa-775	79	6	.	.	PUNCT
ijassa-775	79	7	.	.	PUNCT
ijassa-775	80	1	,	,	PUNCT
ijassa-775	80	2	θn	θn	NOUN
ijassa-775	80	3	are	be	AUX
ijassa-775	80	4	real	real	ADJ
ijassa-775	80	5	.	.	PUNCT
ijassa-775	81	1	it	it	PRON
ijassa-775	81	2	can	can	AUX
ijassa-775	81	3	be	be	AUX
ijassa-775	81	4	easily	easily	ADV
ijassa-775	81	5	verified	verify	VERB
ijassa-775	81	6	that	that	SCONJ
ijassa-775	81	7	at	at	ADP
ijassa-775	81	8	n∑	n∑	PROPN
ijassa-775	81	9	j=1	j=1	ADJ
ijassa-775	81	10	θj	θj	NOUN
ijassa-775	81	11	=	=	SYM
ijassa-775	81	12	1	1	NUM
ijassa-775	81	13	the	the	DET
ijassa-775	81	14	system	system	NOUN
ijassa-775	81	15	(	(	PUNCT
ijassa-775	81	16	2.2	2.2	NUM
ijassa-775	81	17	)	)	PUNCT
ijassa-775	81	18	also	also	ADV
ijassa-775	81	19	includes	include	VERB
ijassa-775	81	20	the	the	DET
ijassa-775	81	21	cycle	cycle	NOUN
ijassa-775	81	22	{	{	PUNCT
ijassa-775	81	23	η1	η1	NOUN
ijassa-775	81	24	,	,	PUNCT
ijassa-775	81	25	.	.	PUNCT
ijassa-775	81	26	.	.	PUNCT
ijassa-775	82	1	.	.	PUNCT
ijassa-775	83	1	,	,	PUNCT
ijassa-775	83	2	ηt	ηt	ADP
ijassa-775	83	3	}	}	PUNCT
ijassa-775	83	4	.	.	PUNCT
ijassa-775	84	1	we	we	PRON
ijassa-775	84	2	aim	aim	VERB
ijassa-775	84	3	to	to	PART
ijassa-775	84	4	choose	choose	VERB
ijassa-775	84	5	such	such	ADJ
ijassa-775	84	6	parameter	parameter	NOUN
ijassa-775	84	7	n	n	NOUN
ijassa-775	84	8	and	and	CCONJ
ijassa-775	84	9	coefficients	coefficient	NOUN
ijassa-775	84	10	{	{	PUNCT
ijassa-775	84	11	θ1	θ1	NOUN
ijassa-775	84	12	,	,	PUNCT
ijassa-775	84	13	.	.	PUNCT
ijassa-775	84	14	.	.	PUNCT
ijassa-775	84	15	.	.	PUNCT
ijassa-775	85	1	θn	θn	ADP
ijassa-775	85	2	}	}	PUNCT
ijassa-775	85	3	so	so	SCONJ
ijassa-775	85	4	that	that	SCONJ
ijassa-775	85	5	the	the	DET
ijassa-775	85	6	system	system	NOUN
ijassa-775	85	7	(	(	PUNCT
ijassa-775	85	8	2.2	2.2	NUM
ijassa-775	85	9	)	)	PUNCT
ijassa-775	85	10	cycle	cycle	NOUN
ijassa-775	85	11	{	{	PUNCT
ijassa-775	85	12	η1	η1	NOUN
ijassa-775	85	13	,	,	PUNCT
ijassa-775	85	14	.	.	PUNCT
ijassa-775	85	15	.	.	PUNCT
ijassa-775	85	16	.	.	PUNCT
ijassa-775	86	1	,	,	PUNCT
ijassa-775	86	2	ηt	ηt	ADP
ijassa-775	86	3	}	}	PUNCT
ijassa-775	86	4	would	would	AUX
ijassa-775	86	5	be	be	AUX
ijassa-775	86	6	locally	locally	ADV
ijassa-775	86	7	asymptotically	asymptotically	ADV
ijassa-775	86	8	stable	stable	ADJ
ijassa-775	86	9	.	.	PUNCT
ijassa-775	87	1	naturally	naturally	ADV
ijassa-775	87	2	,	,	PUNCT
ijassa-775	87	3	when	when	SCONJ
ijassa-775	87	4	constructing	construct	VERB
ijassa-775	87	5	these	these	DET
ijassa-775	87	6	coefficients	coefficient	NOUN
ijassa-775	87	7	,	,	PUNCT
ijassa-775	87	8	there	there	PRON
ijassa-775	87	9	will	will	AUX
ijassa-775	87	10	be	be	AUX
ijassa-775	87	11	used	use	VERB
ijassa-775	87	12	information	information	NOUN
ijassa-775	87	13	on	on	ADP
ijassa-775	87	14	set	set	PROPN
ijassa-775	87	15	m	m	PROPN
ijassa-775	87	16	of	of	ADP
ijassa-775	87	17	multipliers	multiplier	NOUN
ijassa-775	87	18	localization	localization	NOUN
ijassa-775	87	19	.	.	PUNCT
ijassa-775	88	1	it	it	PRON
ijassa-775	88	2	is	be	AUX
ijassa-775	88	3	also	also	ADV
ijassa-775	88	4	desirable	desirable	ADJ
ijassa-775	88	5	[	[	X
ijassa-775	88	6	16	16	NUM
ijassa-775	88	7	,	,	PUNCT
ijassa-775	88	8	17	17	NUM
ijassa-775	88	9	]	]	PUNCT
ijassa-775	88	10	to	to	PART
ijassa-775	88	11	fulfill	fulfill	VERB
ijassa-775	88	12	an	an	DET
ijassa-775	88	13	additional	additional	ADJ
ijassa-775	88	14	condition	condition	NOUN
ijassa-775	88	15	:	:	PUNCT
ijassa-775	88	16	the	the	DET
ijassa-775	88	17	system	system	NOUN
ijassa-775	88	18	(	(	PUNCT
ijassa-775	88	19	2.1	2.1	NUM
ijassa-775	88	20	)	)	PUNCT
ijassa-775	88	21	invariant	invariant	ADJ
ijassa-775	88	22	convex	convex	NOUN
ijassa-775	88	23	set	set	VERB
ijassa-775	88	24	a	a	PRON
ijassa-775	88	25	must	must	AUX
ijassa-775	88	26	be	be	AUX
ijassa-775	88	27	also	also	ADV
ijassa-775	88	28	invariant	invariant	ADJ
ijassa-775	88	29	for	for	ADP
ijassa-775	88	30	the	the	DET
ijassa-775	88	31	system	system	NOUN
ijassa-775	88	32	(	(	PUNCT
ijassa-775	88	33	2.2	2.2	NUM
ijassa-775	88	34	)	)	PUNCT
ijassa-775	88	35	.	.	PUNCT
ijassa-775	89	1	this	this	DET
ijassa-775	89	2	requirement	requirement	NOUN
ijassa-775	89	3	will	will	AUX
ijassa-775	89	4	be	be	AUX
ijassa-775	89	5	fulfilled	fulfil	VERB
ijassa-775	89	6	,	,	PUNCT
ijassa-775	89	7	for	for	ADP
ijassa-775	89	8	example	example	NOUN
ijassa-775	89	9	,	,	PUNCT
ijassa-775	89	10	if	if	SCONJ
ijassa-775	89	11	0	0	NUM
ijassa-775	89	12	≤	≤	NUM
ijassa-775	89	13	θj	θj	NOUN
ijassa-775	89	14	≤	≤	NUM
ijassa-775	89	15	1	1	NUM
ijassa-775	89	16	,	,	PUNCT
ijassa-775	89	17	j	j	PROPN
ijassa-775	90	1	=	=	SYM
ijassa-775	90	2	1	1	NUM
ijassa-775	90	3	,	,	PUNCT
ijassa-775	90	4	.	.	PUNCT
ijassa-775	90	5	.	.	PUNCT
ijassa-775	91	1	.	.	PUNCT
ijassa-775	92	1	,	,	PUNCT
ijassa-775	92	2	n	n	PROPN
ijassa-775	92	3	.	.	PUNCT
ijassa-775	92	4	)	)	PUNCT
ijassa-775	93	1	polyak	polyak	NOUN
ijassa-775	93	2	method	method	NOUN
ijassa-775	94	1	[	[	X
ijassa-775	94	2	23	23	NUM
ijassa-775	94	3	]	]	PUNCT
ijassa-775	94	4	utilizes	utilize	VERB
ijassa-775	94	5	the	the	DET
ijassa-775	94	6	case	case	NOUN
ijassa-775	94	7	θ1	θ1	NOUN
ijassa-775	94	8	=	=	SYM
ijassa-775	94	9	1	1	NUM
ijassa-775	94	10	,	,	PUNCT
ijassa-775	94	11	θ2	θ2	ADV
ijassa-775	94	12	=	=	PUNCT
ijassa-775	94	13	·	·	PUNCT
ijassa-775	94	14	·	·	PUNCT
ijassa-775	94	15	·	·	PUNCT
ijassa-775	95	1	=	=	PUNCT
ijassa-775	95	2	θn−2	θn−2	ADV
ijassa-775	95	3	=	=	SYM
ijassa-775	95	4	0	0	NUM
ijassa-775	95	5	,	,	PUNCT
ijassa-775	95	6	θn−1	θn−1	ADJ
ijassa-775	95	7	=	=	SYM
ijassa-775	95	8	−θn	−θn	NOUN
ijassa-775	95	9	=	=	SYM
ijassa-775	95	10	ε	ε	PROPN
ijassa-775	95	11	.	.	PUNCT
ijassa-775	95	12	regarding	regard	VERB
ijassa-775	95	13	the	the	DET
ijassa-775	95	14	set	set	NOUN
ijassa-775	95	15	m	m	VERB
ijassa-775	95	16	,	,	PUNCT
ijassa-775	95	17	it	it	PRON
ijassa-775	95	18	was	be	AUX
ijassa-775	95	19	assumed	assume	VERB
ijassa-775	95	20	that	that	SCONJ
ijassa-775	95	21	m	m	VERB
ijassa-775	95	22	=	=	SYM
ijassa-775	96	1	d	d	X
ijassa-775	96	2	∪	∪	X
ijassa-775	96	3	{	{	PUNCT
ijassa-775	96	4	µ∗	µ∗	PROPN
ijassa-775	96	5	}	}	PUNCT
ijassa-775	96	6	where	where	SCONJ
ijassa-775	96	7	d	d	NOUN
ijassa-775	96	8	=	=	PRON
ijassa-775	96	9	{	{	PUNCT
ijassa-775	96	10	z	z	NOUN
ijassa-775	96	11	:	:	PUNCT
ijassa-775	96	12	|z|	|z|	NOUN
ijassa-775	96	13	<	<	X
ijassa-775	96	14	1	1	NUM
ijassa-775	96	15	}	}	PUNCT
ijassa-775	96	16	is	be	AUX
ijassa-775	96	17	the	the	DET
ijassa-775	96	18	central	central	ADJ
ijassa-775	96	19	unit	unit	NOUN
ijassa-775	96	20	circle	circle	NOUN
ijassa-775	96	21	on	on	ADP
ijassa-775	96	22	the	the	DET
ijassa-775	96	23	complex	complex	ADJ
ijassa-775	96	24	plane	plane	NOUN
ijassa-775	96	25	,	,	PUNCT
ijassa-775	96	26	and	and	CCONJ
ijassa-775	96	27	µ∗	µ∗	NOUN
ijassa-775	96	28	is	be	AUX
ijassa-775	96	29	a	a	DET
ijassa-775	96	30	known	known	ADJ
ijassa-775	96	31	real	real	ADJ
ijassa-775	96	32	number	number	NOUN
ijassa-775	96	33	.	.	PUNCT
ijassa-775	97	1	in	in	ADP
ijassa-775	97	2	the	the	DET
ijassa-775	97	3	case	case	NOUN
ijassa-775	97	4	m	m	NOUN
ijassa-775	97	5	=	=	NOUN
ijassa-775	97	6	1	1	NUM
ijassa-775	97	7	the	the	DET
ijassa-775	97	8	required	require	VERB
ijassa-775	97	9	coefficient	coefficient	NOUN
ijassa-775	97	10	formula	formula	NOUN
ijassa-775	97	11	has	have	VERB
ijassa-775	97	12	the	the	DET
ijassa-775	97	13	form	form	NOUN
ijassa-775	97	14	ε	ε	PROPN
ijassa-775	97	15	=	=	SYM
ijassa-775	97	16	1∓	1∓	NUM
ijassa-775	97	17	(	(	PUNCT
ijassa-775	97	18	|µ∗|	|µ∗|	NUM
ijassa-775	97	19	/ρ)−	/ρ)−	PROPN
ijassa-775	97	20	1	1	NUM
ijassa-775	97	21	t	t	NOUN
ijassa-775	97	22	(	(	PUNCT
ijassa-775	97	23	µ∗)n−2	µ∗)n−2	PROPN
ijassa-775	97	24	(	(	PUNCT
ijassa-775	97	25	µ∗	µ∗	VERB
ijassa-775	97	26	−	−	PROPN
ijassa-775	97	27	1	1	NUM
ijassa-775	97	28	)	)	PUNCT
ijassa-775	97	29	where	where	SCONJ
ijassa-775	97	30	0	0	NUM
ijassa-775	97	31	<	<	X
ijassa-775	97	32	ρ	ρ	X
ijassa-775	97	33	<	<	X
ijassa-775	97	34	1	1	NUM
ijassa-775	97	35	.	.	PUNCT
ijassa-775	98	1	in	in	ADP
ijassa-775	98	2	this	this	DET
ijassa-775	98	3	article	article	NOUN
ijassa-775	98	4	the	the	DET
ijassa-775	98	5	control	control	NOUN
ijassa-775	98	6	problem	problem	NOUN
ijassa-775	98	7	is	be	AUX
ijassa-775	98	8	solved	solve	VERB
ijassa-775	98	9	for	for	ADP
ijassa-775	98	10	a	a	DET
ijassa-775	98	11	wider	wide	ADJ
ijassa-775	98	12	class	class	NOUN
ijassa-775	98	13	of	of	ADP
ijassa-775	98	14	multipliers	multiplier	NOUN
ijassa-775	98	15	localization	localization	NOUN
ijassa-775	98	16	set	set	VERB
ijassa-775	98	17	m	m	PRON
ijassa-775	98	18	.	.	PUNCT
ijassa-775	99	1	copyright	copyright	NOUN
ijassa-775	99	2	c	c	ADP
ijassa-775	99	3	©	©	PROPN
ijassa-775	99	4	2020	2020	NUM
ijassa-775	99	5	assa	assa	NOUN
ijassa-775	99	6	.	.	PUNCT
ijassa-775	100	1	adv	adv	PROPN
ijassa-775	100	2	syst	syst	PROPN
ijassa-775	100	3	sci	sci	PROPN
ijassa-775	100	4	appl	appl	PROPN
ijassa-775	100	5	(	(	PUNCT
ijassa-775	100	6	2020	2020	NUM
ijassa-775	100	7	)	)	PUNCT
ijassa-775	100	8	30	30	NUM
ijassa-775	100	9	d.	d.	NOUN
ijassa-775	100	10	dmitrishin	dmitrishin	PROPN
ijassa-775	100	11	,	,	PUNCT
ijassa-775	100	12	e.	e.	PROPN
ijassa-775	100	13	iacob	iacob	PROPN
ijassa-775	100	14	,	,	PUNCT
ijassa-775	100	15	a.	a.	PROPN
ijassa-775	100	16	stokolos	stokolos	PROPN
ijassa-775	100	17	3	3	NUM
ijassa-775	100	18	.	.	PUNCT
ijassa-775	100	19	constructing	construct	VERB
ijassa-775	100	20	the	the	DET
ijassa-775	100	21	jacobi	jacobi	PROPN
ijassa-775	100	22	matrix	matrix	NOUN
ijassa-775	100	23	for	for	ADP
ijassa-775	100	24	a	a	DET
ijassa-775	100	25	controlled	control	VERB
ijassa-775	100	26	system	system	NOUN
ijassa-775	100	27	investigating	investigate	VERB
ijassa-775	100	28	stability	stability	NOUN
ijassa-775	100	29	of	of	ADP
ijassa-775	100	30	t	t	PROPN
ijassa-775	100	31	cycles	cycle	NOUN
ijassa-775	100	32	of	of	ADP
ijassa-775	100	33	the	the	DET
ijassa-775	100	34	system	system	NOUN
ijassa-775	100	35	(	(	PUNCT
ijassa-775	100	36	2.2	2.2	NUM
ijassa-775	100	37	)	)	PUNCT
ijassa-775	100	38	consists	consist	VERB
ijassa-775	100	39	in	in	ADP
ijassa-775	100	40	constructing	constructing	NOUN
ijassa-775	100	41	of	of	ADP
ijassa-775	100	42	jacobi	jacobi	PROPN
ijassa-775	100	43	matrix	matrix	NOUN
ijassa-775	101	1	t∏	t∏	PROPN
ijassa-775	101	2	j=1	j=1	NOUN
ijassa-775	102	1	f	f	X
ijassa-775	103	1	′	′	NUM
ijassa-775	103	2	(	(	PUNCT
ijassa-775	103	3	ηt−j+1	ηt−j+1	PROPN
ijassa-775	103	4	)	)	PUNCT
ijassa-775	103	5	of	of	ADP
ijassa-775	103	6	that	that	DET
ijassa-775	103	7	cycle	cycle	NOUN
ijassa-775	103	8	and	and	CCONJ
ijassa-775	103	9	studying	study	VERB
ijassa-775	103	10	the	the	DET
ijassa-775	103	11	eigenvalues	eigenvalue	NOUN
ijassa-775	103	12	of	of	ADP
ijassa-775	103	13	this	this	DET
ijassa-775	103	14	matrix	matrix	NOUN
ijassa-775	103	15	.	.	PUNCT
ijassa-775	104	1	to	to	PART
ijassa-775	104	2	derive	derive	VERB
ijassa-775	104	3	the	the	DET
ijassa-775	104	4	jacobi	jacobi	PROPN
ijassa-775	104	5	matrix	matrix	NOUN
ijassa-775	104	6	,	,	PUNCT
ijassa-775	104	7	we	we	PRON
ijassa-775	104	8	use	use	VERB
ijassa-775	104	9	the	the	DET
ijassa-775	104	10	ideas	idea	NOUN
ijassa-775	104	11	from	from	ADP
ijassa-775	104	12	[	[	X
ijassa-775	104	13	23	23	NUM
ijassa-775	104	14	]	]	PUNCT
ijassa-775	104	15	.	.	PUNCT
ijassa-775	105	1	let	let	VERB
ijassa-775	105	2	jj	jj	PROPN
ijassa-775	105	3	=	=	SYM
ijassa-775	105	4	f	f	PROPN
ijassa-775	106	1	′	′	NUM
ijassa-775	106	2	(	(	PUNCT
ijassa-775	106	3	ηj	ηj	NOUN
ijassa-775	106	4	)	)	PUNCT
ijassa-775	106	5	,	,	PUNCT
ijassa-775	106	6	j	j	PROPN
ijassa-775	106	7	=	=	SYM
ijassa-775	106	8	1	1	NUM
ijassa-775	106	9	,	,	PUNCT
ijassa-775	106	10	.	.	PUNCT
ijassa-775	106	11	.	.	PUNCT
ijassa-775	107	1	.	.	PUNCT
ijassa-775	108	1	,	,	PUNCT
ijassa-775	108	2	t	t	PROPN
ijassa-775	108	3	,	,	PUNCT
ijassa-775	108	4	then	then	ADV
ijassa-775	108	5	we	we	PRON
ijassa-775	108	6	write	write	VERB
ijassa-775	108	7	the	the	DET
ijassa-775	108	8	jacobi	jacobi	PROPN
ijassa-775	108	9	matrix	matrix	NOUN
ijassa-775	108	10	of	of	ADP
ijassa-775	108	11	the	the	DET
ijassa-775	108	12	system	system	NOUN
ijassa-775	108	13	(	(	PUNCT
ijassa-775	108	14	2.1	2.1	NUM
ijassa-775	108	15	)	)	PUNCT
ijassa-775	108	16	cycle	cycle	NOUN
ijassa-775	108	17	{	{	PUNCT
ijassa-775	108	18	η1	η1	NOUN
ijassa-775	108	19	,	,	PUNCT
ijassa-775	108	20	.	.	PUNCT
ijassa-775	108	21	.	.	PUNCT
ijassa-775	109	1	.	.	PUNCT
ijassa-775	110	1	,	,	PUNCT
ijassa-775	110	2	ηt	ηt	ADP
ijassa-775	110	3	}	}	PUNCT
ijassa-775	110	4	as	as	ADP
ijassa-775	110	5	j	j	PROPN
ijassa-775	110	6	=	=	PROPN
ijassa-775	110	7	jt	jt	PROPN
ijassa-775	110	8	·	·	PUNCT
ijassa-775	110	9	.	.	PUNCT
ijassa-775	110	10	.	.	PUNCT
ijassa-775	110	11	.	.	PUNCT
ijassa-775	111	1	·	·	PUNCT
ijassa-775	111	2	j1	j1	PROPN
ijassa-775	111	3	.	.	PUNCT
ijassa-775	112	1	we	we	PRON
ijassa-775	112	2	introduce	introduce	VERB
ijassa-775	112	3	the	the	DET
ijassa-775	112	4	following	follow	VERB
ijassa-775	112	5	auxiliary	auxiliary	ADJ
ijassa-775	112	6	matrices	matrix	NOUN
ijassa-775	112	7	:	:	PUNCT
ijassa-775	112	8	a1	a1	NOUN
ijassa-775	112	9	=	=	SYM
ijassa-775	112	10	i	i	PROPN
ijassa-775	112	11	,	,	PUNCT
ijassa-775	112	12	a2	a2	PROPN
ijassa-775	112	13	=	=	SYM
ijassa-775	112	14	j1	j1	PROPN
ijassa-775	112	15	,	,	PUNCT
ijassa-775	112	16	a3	a3	NOUN
ijassa-775	112	17	=	=	SYM
ijassa-775	112	18	j2	j2	PROPN
ijassa-775	112	19	·	·	PUNCT
ijassa-775	112	20	j1	j1	PROPN
ijassa-775	112	21	,	,	PUNCT
ijassa-775	112	22	.	.	PUNCT
ijassa-775	112	23	.	.	PUNCT
ijassa-775	113	1	.	.	PUNCT
ijassa-775	114	1	,	,	PUNCT
ijassa-775	114	2	at−1	at−1	PROPN
ijassa-775	114	3	=	=	SYM
ijassa-775	114	4	jt−1	jt−1	PROPN
ijassa-775	114	5	·	·	PUNCT
ijassa-775	114	6	.	.	PUNCT
ijassa-775	114	7	.	.	PUNCT
ijassa-775	114	8	.	.	PUNCT
ijassa-775	115	1	·	·	PUNCT
ijassa-775	115	2	j1	j1	NOUN
ijassa-775	115	3	(	(	PUNCT
ijassa-775	115	4	i	i	PRON
ijassa-775	115	5	−	−	VERB
ijassa-775	115	6	unity	unity	NOUN
ijassa-775	115	7	matrix	matrix	NOUN
ijassa-775	115	8	of	of	ADP
ijassa-775	115	9	order	order	NOUN
ijassa-775	115	10	m×m	m×m	ADJ
ijassa-775	115	11	)	)	PUNCT
ijassa-775	115	12	;	;	PUNCT
ijassa-775	115	13	b1	b1	NOUN
ijassa-775	115	14	=	=	SYM
ijassa-775	115	15	jt	jt	PROPN
ijassa-775	115	16	·	·	PUNCT
ijassa-775	115	17	.	.	PUNCT
ijassa-775	115	18	.	.	PUNCT
ijassa-775	115	19	.	.	PUNCT
ijassa-775	116	1	·	·	PUNCT
ijassa-775	116	2	j1	j1	PROPN
ijassa-775	116	3	=	=	SYM
ijassa-775	116	4	j	j	PROPN
ijassa-775	116	5	,	,	PUNCT
ijassa-775	116	6	b2	b2	NOUN
ijassa-775	116	7	=	=	SYM
ijassa-775	116	8	jt	jt	PROPN
ijassa-775	116	9	·	·	PUNCT
ijassa-775	116	10	.	.	PUNCT
ijassa-775	116	11	.	.	PUNCT
ijassa-775	116	12	.	.	PUNCT
ijassa-775	117	1	·	·	PUNCT
ijassa-775	117	2	j2	j2	PROPN
ijassa-775	117	3	,	,	PUNCT
ijassa-775	117	4	.	.	PUNCT
ijassa-775	117	5	.	.	PUNCT
ijassa-775	117	6	.	.	PUNCT
ijassa-775	118	1	,	,	PUNCT
ijassa-775	118	2	bt	bt	X
ijassa-775	118	3	=	=	PROPN
ijassa-775	118	4	jt	jt	PROPN
ijassa-775	118	5	;	;	PUNCT
ijassa-775	118	6	then	then	ADV
ijassa-775	118	7	bkak	bkak	VERB
ijassa-775	118	8	=	=	SYM
ijassa-775	118	9	j	j	PROPN
ijassa-775	118	10	,	,	PUNCT
ijassa-775	118	11	k	k	PROPN
ijassa-775	118	12	=	=	SYM
ijassa-775	118	13	1	1	NUM
ijassa-775	118	14	,	,	PUNCT
ijassa-775	118	15	.	.	PUNCT
ijassa-775	118	16	.	.	PUNCT
ijassa-775	119	1	.	.	PUNCT
ijassa-775	120	1	,	,	PUNCT
ijassa-775	120	2	t	t	PROPN
ijassa-775	120	3	,	,	PUNCT
ijassa-775	120	4	akbk	akbk	NOUN
ijassa-775	120	5	=	=	SYM
ijassa-775	120	6	(	(	PUNCT
ijassa-775	120	7	jk−1	jk−1	PROPN
ijassa-775	120	8	·	·	PUNCT
ijassa-775	120	9	.	.	PUNCT
ijassa-775	120	10	.	.	PUNCT
ijassa-775	120	11	.	.	PUNCT
ijassa-775	121	1	·	·	PUNCT
ijassa-775	121	2	j1	j1	PROPN
ijassa-775	121	3	)	)	PUNCT
ijassa-775	121	4	·	·	PUNCT
ijassa-775	122	1	(	(	PUNCT
ijassa-775	122	2	jt	jt	PROPN
ijassa-775	122	3	·	·	PUNCT
ijassa-775	122	4	.	.	PUNCT
ijassa-775	122	5	.	.	PUNCT
ijassa-775	122	6	.	.	PUNCT
ijassa-775	123	1	·	·	PUNCT
ijassa-775	123	2	jk	jk	X
ijassa-775	123	3	)	)	PUNCT
ijassa-775	123	4	and	and	CCONJ
ijassa-775	123	5	,	,	PUNCT
ijassa-775	123	6	consequently	consequently	ADV
ijassa-775	123	7	,	,	PUNCT
ijassa-775	123	8	(	(	PUNCT
ijassa-775	123	9	akbk	akbk	NOUN
ijassa-775	123	10	)	)	PUNCT
ijassa-775	123	11	s	s	PART
ijassa-775	123	12	=	=	SYM
ijassa-775	123	13	akj	akj	ADJ
ijassa-775	123	14	s−1bk	s−1bk	NOUN
ijassa-775	123	15	,	,	PUNCT
ijassa-775	123	16	s	s	NOUN
ijassa-775	123	17	=	=	SYM
ijassa-775	123	18	1	1	NUM
ijassa-775	123	19	,	,	PUNCT
ijassa-775	123	20	2	2	NUM
ijassa-775	123	21	,	,	PUNCT
ijassa-775	123	22	.	.	PUNCT
ijassa-775	123	23	.	.	PUNCT
ijassa-775	124	1	..	..	PUNCT
ijassa-775	125	1	by	by	ADP
ijassa-775	125	2	chain	chain	NOUN
ijassa-775	125	3	rule	rule	NOUN
ijassa-775	125	4	:(	:(	X
ijassa-775	125	5	f	f	PROPN
ijassa-775	125	6	(	(	PUNCT
ijassa-775	125	7	s)(x	s)(x	PROPN
ijassa-775	125	8	)	)	PUNCT
ijassa-775	125	9	)	)	PUNCT
ijassa-775	126	1	′∣∣∣	′∣∣∣	PROPN
ijassa-775	126	2	x	x	SYM
ijassa-775	126	3	=	=	NOUN
ijassa-775	126	4	ηi	ηi	X
ijassa-775	126	5	=	=	SYM
ijassa-775	126	6	(	(	PUNCT
ijassa-775	126	7	f	f	X
ijassa-775	126	8	(	(	PUNCT
ijassa-775	126	9	s−1)(x	s−1)(x	PROPN
ijassa-775	126	10	)	)	PUNCT
ijassa-775	126	11	)	)	PUNCT
ijassa-775	127	1	′∣∣∣	′∣∣∣	PROPN
ijassa-775	127	2	x	x	SYM
ijassa-775	127	3	=	=	NOUN
ijassa-775	127	4	ηi+1	ηi+1	PRON
ijassa-775	127	5	·	·	PUNCT
ijassa-775	127	6	(	(	PUNCT
ijassa-775	127	7	f(x))′	f(x))′	X
ijassa-775	127	8	∣∣	∣∣	NUM
ijassa-775	127	9	x	x	PUNCT
ijassa-775	127	10	=	=	NOUN
ijassa-775	127	11	ηi	ηi	X
ijassa-775	127	12	=	=	SYM
ijassa-775	127	13	(	(	PUNCT
ijassa-775	127	14	f	f	X
ijassa-775	127	15	(	(	PUNCT
ijassa-775	127	16	s−1)(x	s−1)(x	PROPN
ijassa-775	127	17	)	)	PUNCT
ijassa-775	127	18	)	)	PUNCT
ijassa-775	128	1	′∣∣∣	′∣∣∣	PROPN
ijassa-775	128	2	x	x	SYM
ijassa-775	128	3	=	=	NOUN
ijassa-775	128	4	ηi+1	ηi+1	PRON
ijassa-775	128	5	·	·	PUNCT
ijassa-775	128	6	ji	ji	INTJ
ijassa-775	128	7	,	,	PUNCT
ijassa-775	128	8	we	we	PRON
ijassa-775	128	9	get	get	VERB
ijassa-775	128	10	(	(	PUNCT
ijassa-775	128	11	f	f	X
ijassa-775	128	12	(	(	PUNCT
ijassa-775	128	13	(	(	PUNCT
ijassa-775	128	14	j−1)t	j−1)t	PROPN
ijassa-775	128	15	)	)	PUNCT
ijassa-775	128	16	(	(	PUNCT
ijassa-775	128	17	x	x	NOUN
ijassa-775	128	18	)	)	PUNCT
ijassa-775	128	19	)	)	PUNCT
ijassa-775	129	1	′∣∣∣	′∣∣∣	PROPN
ijassa-775	129	2	x	x	SYM
ijassa-775	129	3	=	=	NOUN
ijassa-775	129	4	ηi	ηi	X
ijassa-775	129	5	=	=	PUNCT
ijassa-775	129	6	aij	aij	PROPN
ijassa-775	129	7	j−2bi	j−2bi	PROPN
ijassa-775	129	8	,	,	PUNCT
ijassa-775	129	9	j	j	PROPN
ijassa-775	129	10	=	=	PROPN
ijassa-775	129	11	2	2	NUM
ijassa-775	129	12	,	,	PUNCT
ijassa-775	129	13	.	.	PUNCT
ijassa-775	129	14	.	.	PUNCT
ijassa-775	130	1	.	.	PUNCT
ijassa-775	131	1	,	,	PUNCT
ijassa-775	131	2	n	n	CCONJ
ijassa-775	131	3	and	and	CCONJ
ijassa-775	131	4	therefore	therefore	ADV
ijassa-775	131	5	(	(	PUNCT
ijassa-775	131	6	f	f	X
ijassa-775	131	7	(	(	PUNCT
ijassa-775	131	8	(	(	PUNCT
ijassa-775	131	9	j−1)t+1)(x	j−1)t+1)(x	PROPN
ijassa-775	131	10	)	)	PUNCT
ijassa-775	131	11	)	)	PUNCT
ijassa-775	132	1	′∣∣∣	′∣∣∣	PROPN
ijassa-775	132	2	x	x	SYM
ijassa-775	132	3	=	=	NOUN
ijassa-775	132	4	ηi	ηi	X
ijassa-775	132	5	=	=	SYM
ijassa-775	132	6	jiaij	jiaij	PROPN
ijassa-775	132	7	j−2bi	j−2bi	PROPN
ijassa-775	132	8	,	,	PUNCT
ijassa-775	132	9	j	j	PROPN
ijassa-775	132	10	=	=	PROPN
ijassa-775	132	11	2	2	NUM
ijassa-775	132	12	,	,	PUNCT
ijassa-775	132	13	.	.	PUNCT
ijassa-775	132	14	.	.	PUNCT
ijassa-775	132	15	.	.	PUNCT
ijassa-775	133	1	,	,	PUNCT
ijassa-775	133	2	n.	n.	PROPN
ijassa-775	133	3	next	next	ADV
ijassa-775	133	4	we	we	PRON
ijassa-775	133	5	find	find	VERB
ijassa-775	133	6	that	that	SCONJ
ijassa-775	133	7	f	f	PROPN
ijassa-775	134	1	′	′	NUM
ijassa-775	134	2	(	(	PUNCT
ijassa-775	134	3	ηi	ηi	PROPN
ijassa-775	134	4	)	)	PUNCT
ijassa-775	134	5	=	=	SYM
ijassa-775	135	1	n∑	n∑	NOUN
ijassa-775	135	2	j=1	j=1	NOUN
ijassa-775	135	3	θj	θj	ADV
ijassa-775	136	1	(	(	PUNCT
ijassa-775	136	2	f	f	X
ijassa-775	136	3	(	(	PUNCT
ijassa-775	136	4	(	(	PUNCT
ijassa-775	136	5	j−1)t+1)(x	j−1)t+1)(x	PROPN
ijassa-775	136	6	)	)	PUNCT
ijassa-775	136	7	)	)	PUNCT
ijassa-775	137	1	′∣∣∣	′∣∣∣	PROPN
ijassa-775	137	2	x	x	SYM
ijassa-775	137	3	=	=	NOUN
ijassa-775	137	4	ηi	ηi	X
ijassa-775	137	5	=	=	PUNCT
ijassa-775	137	6	θ1ji	θ1ji	PUNCT
ijassa-775	137	7	+	+	CCONJ
ijassa-775	137	8	n∑	n∑	PROPN
ijassa-775	137	9	j=2	j=2	PROPN
ijassa-775	137	10	θjjiaij	θjjiaij	PROPN
ijassa-775	137	11	j−2bi	j−2bi	PROPN
ijassa-775	137	12	.	.	PUNCT
ijassa-775	138	1	for	for	ADP
ijassa-775	138	2	the	the	DET
ijassa-775	138	3	jacobi	jacobi	PROPN
ijassa-775	138	4	matrix	matrix	NOUN
ijassa-775	138	5	of	of	ADP
ijassa-775	138	6	the	the	DET
ijassa-775	138	7	system	system	NOUN
ijassa-775	138	8	(	(	PUNCT
ijassa-775	138	9	2.2	2.2	NUM
ijassa-775	138	10	)	)	PUNCT
ijassa-775	138	11	cycle	cycle	NOUN
ijassa-775	138	12	{	{	PUNCT
ijassa-775	138	13	η1	η1	NOUN
ijassa-775	138	14	,	,	PUNCT
ijassa-775	138	15	.	.	PUNCT
ijassa-775	138	16	.	.	PUNCT
ijassa-775	138	17	.	.	PUNCT
ijassa-775	139	1	,	,	PUNCT
ijassa-775	139	2	ηt	ηt	ADP
ijassa-775	139	3	}	}	PUNCT
ijassa-775	139	4	we	we	PRON
ijassa-775	139	5	can	can	AUX
ijassa-775	139	6	write	write	VERB
ijassa-775	139	7	:	:	PUNCT
ijassa-775	139	8	f	f	PROPN
ijassa-775	139	9	′	′	NUM
ijassa-775	139	10	(	(	PUNCT
ijassa-775	139	11	ηt	ηt	ADP
ijassa-775	139	12	)	)	PUNCT
ijassa-775	139	13	·	·	PUNCT
ijassa-775	139	14	.	.	PUNCT
ijassa-775	139	15	.	.	PUNCT
ijassa-775	139	16	.	.	PUNCT
ijassa-775	140	1	·	·	PUNCT
ijassa-775	141	1	f	f	X
ijassa-775	141	2	′	′	NUM
ijassa-775	141	3	(	(	PUNCT
ijassa-775	141	4	η1	η1	NOUN
ijassa-775	141	5	)	)	PUNCT
ijassa-775	141	6	=	=	SYM
ijassa-775	141	7	jt	jt	PROPN
ijassa-775	141	8	(	(	PUNCT
ijassa-775	141	9	θ1i	θ1i	PROPN
ijassa-775	141	10	+	+	CCONJ
ijassa-775	141	11	at	at	ADP
ijassa-775	141	12	(	(	PUNCT
ijassa-775	141	13	n∑	n∑	NOUN
ijassa-775	141	14	j=2	j=2	PROPN
ijassa-775	141	15	θjj	θjj	NOUN
ijassa-775	141	16	j−2	j−2	PROPN
ijassa-775	141	17	)	)	PUNCT
ijassa-775	141	18	bt	bt	PROPN
ijassa-775	141	19	)	)	PUNCT
ijassa-775	141	20	·	·	PUNCT
ijassa-775	142	1	jt−1	jt−1	PROPN
ijassa-775	142	2	(	(	PUNCT
ijassa-775	142	3	θ1i	θ1i	PROPN
ijassa-775	142	4	+	+	CCONJ
ijassa-775	142	5	at−1	at−1	PROPN
ijassa-775	142	6	(	(	PUNCT
ijassa-775	142	7	n∑	n∑	NOUN
ijassa-775	142	8	j=2	j=2	PROPN
ijassa-775	142	9	θjj	θjj	NOUN
ijassa-775	142	10	j−2	j−2	PROPN
ijassa-775	142	11	)	)	PUNCT
ijassa-775	142	12	bt−1	bt−1	PROPN
ijassa-775	142	13	)	)	PUNCT
ijassa-775	142	14	·	·	PUNCT
ijassa-775	142	15	.	.	PUNCT
ijassa-775	142	16	.	.	PUNCT
ijassa-775	142	17	.	.	PUNCT
ijassa-775	143	1	·	·	PUNCT
ijassa-775	143	2	j1	j1	PROPN
ijassa-775	143	3	(	(	PUNCT
ijassa-775	143	4	θ1i	θ1i	PROPN
ijassa-775	143	5	+	+	CCONJ
ijassa-775	143	6	a1	a1	PROPN
ijassa-775	143	7	(	(	PUNCT
ijassa-775	143	8	n∑	n∑	NOUN
ijassa-775	143	9	j=2	j=2	PROPN
ijassa-775	143	10	θjj	θjj	NOUN
ijassa-775	143	11	j−2	j−2	PROPN
ijassa-775	143	12	)	)	PUNCT
ijassa-775	143	13	b1	b1	NOUN
ijassa-775	143	14	)	)	PUNCT
ijassa-775	143	15	copyright	copyright	NOUN
ijassa-775	143	16	c	c	ADP
ijassa-775	143	17	©	©	PROPN
ijassa-775	143	18	2020	2020	NUM
ijassa-775	143	19	assa	assa	NOUN
ijassa-775	143	20	.	.	PUNCT
ijassa-775	144	1	adv	adv	PROPN
ijassa-775	144	2	syst	syst	PROPN
ijassa-775	144	3	sci	sci	PROPN
ijassa-775	144	4	appl	appl	PROPN
ijassa-775	144	5	(	(	PUNCT
ijassa-775	144	6	2020	2020	NUM
ijassa-775	144	7	)	)	PUNCT
ijassa-775	144	8	average	average	ADJ
ijassa-775	144	9	predictive	predictive	ADJ
ijassa-775	144	10	control	control	NOUN
ijassa-775	144	11	31	31	NUM
ijassa-775	144	12	taking	take	VERB
ijassa-775	144	13	into	into	ADP
ijassa-775	144	14	account	account	NOUN
ijassa-775	144	15	that	that	SCONJ
ijassa-775	144	16	jk	jk	PROPN
ijassa-775	144	17	(	(	PUNCT
ijassa-775	144	18	θ1i	θ1i	PROPN
ijassa-775	144	19	+	+	CCONJ
ijassa-775	144	20	ak	ak	PROPN
ijassa-775	144	21	(	(	PUNCT
ijassa-775	144	22	n∑	n∑	NOUN
ijassa-775	144	23	j=2	j=2	PROPN
ijassa-775	144	24	θjj	θjj	VERB
ijassa-775	144	25	j−2	j−2	PROPN
ijassa-775	144	26	)	)	PUNCT
ijassa-775	144	27	bk	bk	VERB
ijassa-775	144	28	)	)	PUNCT
ijassa-775	145	1	=	=	PUNCT
ijassa-775	145	2	jkak	jkak	NOUN
ijassa-775	145	3	(	(	PUNCT
ijassa-775	145	4	θ1i	θ1i	PROPN
ijassa-775	145	5	+	+	CCONJ
ijassa-775	145	6	(	(	PUNCT
ijassa-775	145	7	n∑	n∑	INTJ
ijassa-775	145	8	j=2	j=2	PROPN
ijassa-775	145	9	θjj	θjj	NOUN
ijassa-775	145	10	j−2	j−2	PROPN
ijassa-775	145	11	)	)	PUNCT
ijassa-775	145	12	bkak	bkak	VERB
ijassa-775	145	13	)	)	PUNCT
ijassa-775	145	14	a−1k	a−1k	NOUN
ijassa-775	145	15	=	=	SYM
ijassa-775	145	16	jkak	jkak	NOUN
ijassa-775	145	17	(	(	PUNCT
ijassa-775	145	18	n∑	n∑	INTJ
ijassa-775	145	19	j=1	j=1	NOUN
ijassa-775	145	20	θjj	θjj	VERB
ijassa-775	145	21	j−1	j−1	PROPN
ijassa-775	145	22	)	)	PUNCT
ijassa-775	145	23	a−1k	a−1k	NOUN
ijassa-775	145	24	and	and	CCONJ
ijassa-775	145	25	jkak	jkak	NOUN
ijassa-775	145	26	=	=	PUNCT
ijassa-775	145	27	ak+1	ak+1	NUM
ijassa-775	145	28	it	it	PRON
ijassa-775	145	29	follows	follow	VERB
ijassa-775	145	30	that	that	SCONJ
ijassa-775	145	31	f	f	PROPN
ijassa-775	145	32	′	′	NUM
ijassa-775	146	1	(	(	PUNCT
ijassa-775	146	2	ηt	ηt	ADP
ijassa-775	146	3	)	)	PUNCT
ijassa-775	146	4	·	·	PUNCT
ijassa-775	146	5	.	.	PUNCT
ijassa-775	146	6	.	.	PUNCT
ijassa-775	146	7	.	.	PUNCT
ijassa-775	147	1	·	·	PUNCT
ijassa-775	148	1	f	f	X
ijassa-775	149	1	′	′	NUM
ijassa-775	149	2	(	(	PUNCT
ijassa-775	149	3	η1	η1	NOUN
ijassa-775	149	4	)	)	PUNCT
ijassa-775	149	5	=	=	SYM
ijassa-775	149	6	=	=	SYM
ijassa-775	149	7	jtat	jtat	PROPN
ijassa-775	149	8	(	(	PUNCT
ijassa-775	149	9	n∑	n∑	NOUN
ijassa-775	149	10	j=1	j=1	NOUN
ijassa-775	149	11	θjj	θjj	VERB
ijassa-775	149	12	j−1	j−1	PROPN
ijassa-775	149	13	)	)	PUNCT
ijassa-775	150	1	a−1	a−1	PROPN
ijassa-775	150	2	t	t	PROPN
ijassa-775	150	3	·	·	PUNCT
ijassa-775	150	4	jt−1at−1	jt−1at−1	X
ijassa-775	150	5	(	(	PUNCT
ijassa-775	150	6	n∑	n∑	INTJ
ijassa-775	150	7	j=1	j=1	NOUN
ijassa-775	150	8	θjj	θjj	VERB
ijassa-775	150	9	j−1	j−1	PROPN
ijassa-775	150	10	)	)	PUNCT
ijassa-775	150	11	a−1t−1	a−1t−1	PROPN
ijassa-775	150	12	·	·	PUNCT
ijassa-775	150	13	.	.	PUNCT
ijassa-775	150	14	.	.	PUNCT
ijassa-775	150	15	.	.	PUNCT
ijassa-775	150	16	·	·	PUNCT
ijassa-775	150	17	·	·	PUNCT
ijassa-775	151	1	j1a1	j1a1	PUNCT
ijassa-775	151	2	(	(	PUNCT
ijassa-775	151	3	n∑	n∑	INTJ
ijassa-775	151	4	j=1	j=1	NOUN
ijassa-775	151	5	θjj	θjj	VERB
ijassa-775	151	6	j−1	j−1	PROPN
ijassa-775	151	7	)	)	PUNCT
ijassa-775	151	8	a−11	a−11	VERB
ijassa-775	152	1	=	=	PROPN
ijassa-775	152	2	j	j	PROPN
ijassa-775	152	3	(	(	PUNCT
ijassa-775	152	4	n∑	n∑	INTJ
ijassa-775	152	5	j=1	j=1	NOUN
ijassa-775	152	6	θjj	θjj	VERB
ijassa-775	152	7	j−1	j−1	PROPN
ijassa-775	152	8	)	)	PUNCT
ijassa-775	152	9	t	t	PROPN
ijassa-775	153	1	(	(	PUNCT
ijassa-775	153	2	the	the	DET
ijassa-775	153	3	reader	reader	NOUN
ijassa-775	153	4	is	be	AUX
ijassa-775	153	5	gently	gently	ADV
ijassa-775	153	6	advised	advise	VERB
ijassa-775	153	7	that	that	SCONJ
ijassa-775	153	8	the	the	DET
ijassa-775	153	9	superscript	superscript	PROPN
ijassa-775	153	10	t	t	PROPN
ijassa-775	153	11	in	in	ADP
ijassa-775	153	12	the	the	DET
ijassa-775	153	13	formula	formula	NOUN
ijassa-775	153	14	above	above	ADV
ijassa-775	153	15	and	and	CCONJ
ijassa-775	153	16	all	all	DET
ijassa-775	153	17	subsequent	subsequent	ADJ
ijassa-775	153	18	formulas	formula	NOUN
ijassa-775	153	19	denotes	denote	NOUN
ijassa-775	153	20	power	power	NOUN
ijassa-775	153	21	,	,	PUNCT
ijassa-775	153	22	not	not	PART
ijassa-775	153	23	transpose	transpose	NOUN
ijassa-775	153	24	.	.	PUNCT
ijassa-775	153	25	)	)	PUNCT
ijassa-775	153	26	for	for	ADP
ijassa-775	153	27	deriving	derive	VERB
ijassa-775	153	28	the	the	DET
ijassa-775	153	29	jacobian	jacobian	ADJ
ijassa-775	153	30	formula	formula	NOUN
ijassa-775	153	31	above	above	ADP
ijassa-775	153	32	it	it	PRON
ijassa-775	153	33	was	be	AUX
ijassa-775	153	34	assumed	assume	VERB
ijassa-775	153	35	that	that	SCONJ
ijassa-775	153	36	the	the	DET
ijassa-775	153	37	matrix	matrix	NOUN
ijassa-775	153	38	j	j	NOUN
ijassa-775	153	39	was	be	AUX
ijassa-775	153	40	not	not	PART
ijassa-775	153	41	degenerated	degenerated	ADJ
ijassa-775	153	42	.	.	PUNCT
ijassa-775	154	1	this	this	DET
ijassa-775	154	2	limitation	limitation	NOUN
ijassa-775	154	3	can	can	AUX
ijassa-775	154	4	be	be	AUX
ijassa-775	154	5	easily	easily	ADV
ijassa-775	154	6	circumvented	circumvent	VERB
ijassa-775	154	7	using	use	VERB
ijassa-775	154	8	a	a	DET
ijassa-775	154	9	well	well	ADV
ijassa-775	154	10	-	-	PUNCT
ijassa-775	154	11	known	know	VERB
ijassa-775	154	12	topological	topological	ADJ
ijassa-775	154	13	technique	technique	NOUN
ijassa-775	154	14	:	:	PUNCT
ijassa-775	154	15	considering	consider	VERB
ijassa-775	154	16	the	the	DET
ijassa-775	154	17	matrix	matrix	NOUN
ijassa-775	154	18	j	j	NOUN
ijassa-775	155	1	+	+	CCONJ
ijassa-775	155	2	δi	δi	VERB
ijassa-775	155	3	instead	instead	ADV
ijassa-775	155	4	of	of	ADP
ijassa-775	155	5	the	the	DET
ijassa-775	155	6	degenerated	degenerated	ADJ
ijassa-775	155	7	matrix	matrix	NOUN
ijassa-775	155	8	j	j	NOUN
ijassa-775	155	9	and	and	CCONJ
ijassa-775	155	10	after	after	ADP
ijassa-775	155	11	all	all	DET
ijassa-775	155	12	calculations	calculation	NOUN
ijassa-775	155	13	taking	take	VERB
ijassa-775	155	14	the	the	DET
ijassa-775	155	15	limit	limit	NOUN
ijassa-775	155	16	as	as	ADP
ijassa-775	155	17	δ	δ	PROPN
ijassa-775	155	18	→	→	X
ijassa-775	155	19	0	0	NUM
ijassa-775	155	20	.	.	PUNCT
ijassa-775	156	1	thus	thus	ADV
ijassa-775	156	2	,	,	PUNCT
ijassa-775	156	3	the	the	DET
ijassa-775	156	4	following	following	ADJ
ijassa-775	156	5	result	result	NOUN
ijassa-775	156	6	is	be	AUX
ijassa-775	156	7	obtained	obtain	VERB
ijassa-775	156	8	.	.	PUNCT
ijassa-775	157	1	lemma	lemma	PROPN
ijassa-775	157	2	3.1	3.1	NUM
ijassa-775	157	3	:	:	PUNCT
ijassa-775	157	4	the	the	DET
ijassa-775	157	5	jacobi	jacobi	PROPN
ijassa-775	157	6	matrix	matrix	NOUN
ijassa-775	157	7	of	of	ADP
ijassa-775	157	8	the	the	DET
ijassa-775	157	9	cycle	cycle	NOUN
ijassa-775	157	10	{	{	PUNCT
ijassa-775	157	11	η1	η1	NOUN
ijassa-775	157	12	,	,	PUNCT
ijassa-775	157	13	.	.	PUNCT
ijassa-775	157	14	.	.	PUNCT
ijassa-775	158	1	.	.	PUNCT
ijassa-775	159	1	,	,	PUNCT
ijassa-775	159	2	ηt	ηt	ADP
ijassa-775	159	3	}	}	PUNCT
ijassa-775	159	4	in	in	ADP
ijassa-775	159	5	the	the	DET
ijassa-775	159	6	system	system	NOUN
ijassa-775	159	7	(	(	PUNCT
ijassa-775	159	8	2.2	2.2	NUM
ijassa-775	159	9	)	)	PUNCT
ijassa-775	159	10	can	can	AUX
ijassa-775	159	11	be	be	AUX
ijassa-775	159	12	represented	represent	VERB
ijassa-775	159	13	as	as	ADP
ijassa-775	159	14	j	j	PROPN
ijassa-775	159	15	(	(	PUNCT
ijassa-775	159	16	n∑	n∑	INTJ
ijassa-775	159	17	j=1	j=1	NOUN
ijassa-775	159	18	θjj	θjj	VERB
ijassa-775	159	19	j−1	j−1	PROPN
ijassa-775	159	20	)	)	PUNCT
ijassa-775	159	21	t	t	PROPN
ijassa-775	159	22	,	,	PUNCT
ijassa-775	159	23	(	(	PUNCT
ijassa-775	159	24	3.3	3.3	NUM
ijassa-775	159	25	)	)	PUNCT
ijassa-775	159	26	where	where	SCONJ
ijassa-775	159	27	j	j	PROPN
ijassa-775	159	28	is	be	AUX
ijassa-775	159	29	the	the	DET
ijassa-775	159	30	jacobi	jacobi	PROPN
ijassa-775	159	31	matrix	matrix	NOUN
ijassa-775	159	32	of	of	ADP
ijassa-775	159	33	the	the	DET
ijassa-775	159	34	cycle	cycle	NOUN
ijassa-775	159	35	{	{	PUNCT
ijassa-775	159	36	η1	η1	NOUN
ijassa-775	159	37	,	,	PUNCT
ijassa-775	159	38	.	.	PUNCT
ijassa-775	159	39	.	.	PUNCT
ijassa-775	160	1	.	.	PUNCT
ijassa-775	161	1	,	,	PUNCT
ijassa-775	161	2	ηt	ηt	ADP
ijassa-775	161	3	}	}	PUNCT
ijassa-775	161	4	in	in	ADP
ijassa-775	161	5	the	the	DET
ijassa-775	161	6	system	system	NOUN
ijassa-775	161	7	(	(	PUNCT
ijassa-775	161	8	2.1	2.1	NUM
ijassa-775	161	9	)	)	PUNCT
ijassa-775	161	10	.	.	PUNCT
ijassa-775	162	1	we	we	PRON
ijassa-775	162	2	now	now	ADV
ijassa-775	162	3	consider	consider	VERB
ijassa-775	162	4	another	another	DET
ijassa-775	162	5	control	control	NOUN
ijassa-775	162	6	system	system	NOUN
ijassa-775	162	7	,	,	PUNCT
ijassa-775	162	8	instead	instead	ADV
ijassa-775	162	9	of	of	ADP
ijassa-775	162	10	system	system	NOUN
ijassa-775	162	11	(	(	PUNCT
ijassa-775	162	12	2.2	2.2	NUM
ijassa-775	162	13	):	):	PUNCT
ijassa-775	162	14	xn+1	xn+1	PROPN
ijassa-775	162	15	=	=	SYM
ijassa-775	162	16	f	f	PROPN
ijassa-775	162	17	(	(	PUNCT
ijassa-775	162	18	θ1xn	θ1xn	X
ijassa-775	162	19	+	+	CCONJ
ijassa-775	162	20	n∑	n∑	PROPN
ijassa-775	162	21	j=2	j=2	PROPN
ijassa-775	162	22	θjf	θjf	VERB
ijassa-775	162	23	(	(	PUNCT
ijassa-775	162	24	(	(	PUNCT
ijassa-775	162	25	j−1)t	j−1)t	PROPN
ijassa-775	162	26	)	)	PUNCT
ijassa-775	162	27	(	(	PUNCT
ijassa-775	162	28	xn	xn	X
ijassa-775	162	29	)	)	PUNCT
ijassa-775	162	30	)	)	PUNCT
ijassa-775	162	31	.	.	PUNCT
ijassa-775	163	1	(	(	PUNCT
ijassa-775	163	2	3.4	3.4	NUM
ijassa-775	163	3	)	)	PUNCT
ijassa-775	163	4	when	when	SCONJ
ijassa-775	163	5	n∑	n∑	NOUN
ijassa-775	163	6	j=1	j=1	NOUN
ijassa-775	163	7	θj	θj	NOUN
ijassa-775	164	1	=	=	NOUN
ijassa-775	164	2	1	1	NUM
ijassa-775	164	3	then	then	ADV
ijassa-775	164	4	the	the	DET
ijassa-775	164	5	system	system	NOUN
ijassa-775	164	6	(	(	PUNCT
ijassa-775	164	7	3.4	3.4	NUM
ijassa-775	164	8	)	)	PUNCT
ijassa-775	164	9	preserves	preserve	VERB
ijassa-775	164	10	the	the	DET
ijassa-775	164	11	cycle	cycle	NOUN
ijassa-775	164	12	{	{	PUNCT
ijassa-775	164	13	η1	η1	NOUN
ijassa-775	164	14	,	,	PUNCT
ijassa-775	164	15	.	.	PUNCT
ijassa-775	164	16	.	.	PUNCT
ijassa-775	165	1	.	.	PUNCT
ijassa-775	166	1	,	,	PUNCT
ijassa-775	166	2	ηt	ηt	ADP
ijassa-775	166	3	}	}	PUNCT
ijassa-775	166	4	.	.	PUNCT
ijassa-775	167	1	in	in	ADP
ijassa-775	167	2	addition	addition	NOUN
ijassa-775	167	3	,	,	PUNCT
ijassa-775	167	4	according	accord	VERB
ijassa-775	167	5	to	to	ADP
ijassa-775	167	6	formula	formula	NOUN
ijassa-775	167	7	(	(	PUNCT
ijassa-775	167	8	3.3	3.3	NUM
ijassa-775	167	9	)	)	PUNCT
ijassa-775	167	10	,	,	PUNCT
ijassa-775	167	11	the	the	DET
ijassa-775	167	12	jacobi	jacobi	PROPN
ijassa-775	167	13	matrix	matrix	NOUN
ijassa-775	167	14	of	of	ADP
ijassa-775	167	15	the	the	DET
ijassa-775	167	16	system	system	NOUN
ijassa-775	167	17	(	(	PUNCT
ijassa-775	167	18	3.4	3.4	NUM
ijassa-775	167	19	)	)	PUNCT
ijassa-775	167	20	cycle	cycle	NOUN
ijassa-775	167	21	is	be	AUX
ijassa-775	167	22	expressed	express	VERB
ijassa-775	167	23	in	in	ADP
ijassa-775	167	24	the	the	DET
ijassa-775	167	25	terms	term	NOUN
ijassa-775	167	26	of	of	ADP
ijassa-775	167	27	jacobi	jacobi	PROPN
ijassa-775	167	28	matrix	matrix	NOUN
ijassa-775	167	29	of	of	ADP
ijassa-775	167	30	the	the	DET
ijassa-775	167	31	system	system	NOUN
ijassa-775	167	32	(	(	PUNCT
ijassa-775	167	33	2.1	2.1	NUM
ijassa-775	167	34	)	)	PUNCT
ijassa-775	167	35	.	.	PUNCT
ijassa-775	168	1	the	the	DET
ijassa-775	168	2	advantage	advantage	NOUN
ijassa-775	168	3	of	of	ADP
ijassa-775	168	4	the	the	DET
ijassa-775	168	5	control	control	NOUN
ijassa-775	168	6	system	system	NOUN
ijassa-775	168	7	(	(	PUNCT
ijassa-775	168	8	3.4	3.4	NUM
ijassa-775	168	9	)	)	PUNCT
ijassa-775	168	10	over	over	ADP
ijassa-775	168	11	the	the	DET
ijassa-775	168	12	system	system	NOUN
ijassa-775	168	13	(	(	PUNCT
ijassa-775	168	14	2.2	2.2	NUM
ijassa-775	168	15	)	)	PUNCT
ijassa-775	168	16	consists	consist	VERB
ijassa-775	168	17	of	of	ADP
ijassa-775	168	18	a	a	DET
ijassa-775	168	19	fewer	few	ADJ
ijassa-775	168	20	calculation	calculation	NOUN
ijassa-775	168	21	of	of	ADP
ijassa-775	168	22	the	the	DET
ijassa-775	168	23	values	value	NOUN
ijassa-775	168	24	for	for	ADP
ijassa-775	168	25	function	function	NOUN
ijassa-775	168	26	f(x	f(x	PROPN
ijassa-775	168	27	)	)	PUNCT
ijassa-775	168	28	(	(	PUNCT
ijassa-775	168	29	more	more	ADV
ijassa-775	168	30	precisely	precisely	ADV
ijassa-775	168	31	,	,	PUNCT
ijassa-775	168	32	the	the	DET
ijassa-775	168	33	difference	difference	NOUN
ijassa-775	168	34	is	be	AUX
ijassa-775	168	35	n	n	PRON
ijassa-775	168	36	−	−	PROPN
ijassa-775	168	37	2	2	NUM
ijassa-775	168	38	)	)	PUNCT
ijassa-775	168	39	.	.	PUNCT
ijassa-775	169	1	copyright	copyright	NOUN
ijassa-775	169	2	c	c	ADP
ijassa-775	169	3	©	©	PROPN
ijassa-775	169	4	2020	2020	NUM
ijassa-775	169	5	assa	assa	NOUN
ijassa-775	169	6	.	.	PUNCT
ijassa-775	170	1	adv	adv	PROPN
ijassa-775	170	2	syst	syst	PROPN
ijassa-775	170	3	sci	sci	PROPN
ijassa-775	170	4	appl	appl	PROPN
ijassa-775	170	5	(	(	PUNCT
ijassa-775	170	6	2020	2020	NUM
ijassa-775	170	7	)	)	PUNCT
ijassa-775	170	8	32	32	NUM
ijassa-775	170	9	d.	d.	PROPN
ijassa-775	170	10	dmitrishin	dmitrishin	PROPN
ijassa-775	170	11	,	,	PUNCT
ijassa-775	170	12	e.	e.	PROPN
ijassa-775	170	13	iacob	iacob	PROPN
ijassa-775	170	14	,	,	PUNCT
ijassa-775	170	15	a.	a.	PROPN
ijassa-775	170	16	stokolos	stokolos	PROPN
ijassa-775	170	17	4	4	NUM
ijassa-775	170	18	.	.	PUNCT
ijassa-775	170	19	main	main	ADJ
ijassa-775	170	20	result	result	NOUN
ijassa-775	170	21	all	all	DET
ijassa-775	170	22	results	result	NOUN
ijassa-775	170	23	presented	present	VERB
ijassa-775	170	24	in	in	ADP
ijassa-775	170	25	this	this	DET
ijassa-775	170	26	section	section	NOUN
ijassa-775	170	27	are	be	AUX
ijassa-775	170	28	formulated	formulate	VERB
ijassa-775	170	29	for	for	ADP
ijassa-775	170	30	system	system	NOUN
ijassa-775	170	31	(	(	PUNCT
ijassa-775	170	32	2.2	2.2	NUM
ijassa-775	170	33	)	)	PUNCT
ijassa-775	170	34	,	,	PUNCT
ijassa-775	170	35	however	however	ADV
ijassa-775	170	36	they	they	PRON
ijassa-775	170	37	hold	hold	VERB
ijassa-775	170	38	without	without	ADP
ijassa-775	170	39	change	change	NOUN
ijassa-775	170	40	for	for	ADP
ijassa-775	170	41	system	system	NOUN
ijassa-775	170	42	(	(	PUNCT
ijassa-775	170	43	3.4	3.4	NUM
ijassa-775	170	44	)	)	PUNCT
ijassa-775	170	45	.	.	PUNCT
ijassa-775	171	1	theorem	theorem	VERB
ijassa-775	171	2	4.1	4.1	NUM
ijassa-775	171	3	:	:	PUNCT
ijassa-775	171	4	suppose	suppose	VERB
ijassa-775	171	5	f	f	PROPN
ijassa-775	171	6	∈	∈	PROPN
ijassa-775	171	7	c1	c1	PROPN
ijassa-775	171	8	and	and	CCONJ
ijassa-775	171	9	that	that	SCONJ
ijassa-775	171	10	the	the	DET
ijassa-775	171	11	system	system	NOUN
ijassa-775	171	12	(	(	PUNCT
ijassa-775	171	13	2.1	2.1	NUM
ijassa-775	171	14	)	)	PUNCT
ijassa-775	171	15	has	have	VERB
ijassa-775	171	16	an	an	DET
ijassa-775	171	17	unstable	unstable	ADJ
ijassa-775	171	18	t	t	NOUN
ijassa-775	171	19	cycle	cycle	NOUN
ijassa-775	171	20	with	with	ADP
ijassa-775	171	21	multipliers	multiplier	NOUN
ijassa-775	171	22	{	{	PUNCT
ijassa-775	171	23	µ1	µ1	PROPN
ijassa-775	171	24	,	,	PUNCT
ijassa-775	171	25	.	.	PUNCT
ijassa-775	171	26	.	.	PUNCT
ijassa-775	172	1	.	.	PUNCT
ijassa-775	173	1	,	,	PUNCT
ijassa-775	173	2	µm	µm	ADP
ijassa-775	173	3	}	}	PUNCT
ijassa-775	173	4	.	.	PUNCT
ijassa-775	174	1	then	then	ADV
ijassa-775	174	2	this	this	DET
ijassa-775	174	3	cycle	cycle	NOUN
ijassa-775	174	4	will	will	AUX
ijassa-775	174	5	be	be	AUX
ijassa-775	174	6	a	a	DET
ijassa-775	174	7	locally	locally	ADV
ijassa-775	174	8	asymptotically	asymptotically	ADV
ijassa-775	174	9	stable	stable	ADJ
ijassa-775	174	10	cycle	cycle	NOUN
ijassa-775	174	11	of	of	ADP
ijassa-775	174	12	the	the	DET
ijassa-775	174	13	system	system	NOUN
ijassa-775	174	14	(	(	PUNCT
ijassa-775	174	15	2.2	2.2	NUM
ijassa-775	174	16	)	)	PUNCT
ijassa-775	174	17	if	if	SCONJ
ijassa-775	174	18	µj	µj	PROPN
ijassa-775	175	1	[	[	X
ijassa-775	175	2	r	r	X
ijassa-775	175	3	(	(	PUNCT
ijassa-775	175	4	µj	µj	PROPN
ijassa-775	175	5	)	)	PUNCT
ijassa-775	175	6	]	]	PUNCT
ijassa-775	176	1	t	t	PROPN
ijassa-775	176	2	∈	∈	PROPN
ijassa-775	176	3	d	d	PROPN
ijassa-775	176	4	,	,	PUNCT
ijassa-775	176	5	j	j	PROPN
ijassa-775	176	6	=	=	SYM
ijassa-775	176	7	1	1	NUM
ijassa-775	176	8	,	,	PUNCT
ijassa-775	176	9	.	.	PUNCT
ijassa-775	176	10	.	.	PUNCT
ijassa-775	176	11	.	.	PUNCT
ijassa-775	177	1	,	,	PUNCT
ijassa-775	177	2	m	m	PROPN
ijassa-775	177	3	,	,	PUNCT
ijassa-775	177	4	where	where	SCONJ
ijassa-775	177	5	r(µ	r(µ	NOUN
ijassa-775	177	6	)	)	PUNCT
ijassa-775	177	7	=	=	SYM
ijassa-775	177	8	n∑	n∑	NOUN
ijassa-775	177	9	j=1	j=1	NOUN
ijassa-775	178	1	θjµ	θjµ	PROPN
ijassa-775	178	2	j−1	j−1	PROPN
ijassa-775	178	3	.	.	PUNCT
ijassa-775	179	1	proof	proof	NOUN
ijassa-775	179	2	according	accord	VERB
ijassa-775	179	3	to	to	ADP
ijassa-775	179	4	lemma	lemma	PROPN
ijassa-775	179	5	3.1	3.1	NUM
ijassa-775	179	6	,	,	PUNCT
ijassa-775	179	7	the	the	DET
ijassa-775	179	8	characteristic	characteristic	ADJ
ijassa-775	179	9	polynomial	polynomial	NOUN
ijassa-775	179	10	for	for	ADP
ijassa-775	179	11	a	a	DET
ijassa-775	179	12	system	system	NOUN
ijassa-775	179	13	of	of	ADP
ijassa-775	179	14	linear	linear	ADJ
ijassa-775	179	15	approximation	approximation	NOUN
ijassa-775	179	16	in	in	ADP
ijassa-775	179	17	the	the	DET
ijassa-775	179	18	cycle	cycle	NOUN
ijassa-775	179	19	neighbourhood	neighbourhood	NOUN
ijassa-775	179	20	in	in	ADP
ijassa-775	179	21	the	the	DET
ijassa-775	179	22	case	case	NOUN
ijassa-775	179	23	of	of	ADP
ijassa-775	179	24	system	system	NOUN
ijassa-775	179	25	(	(	PUNCT
ijassa-775	179	26	2.2	2.2	NUM
ijassa-775	179	27	)	)	PUNCT
ijassa-775	179	28	can	can	AUX
ijassa-775	179	29	be	be	AUX
ijassa-775	179	30	written	write	VERB
ijassa-775	179	31	as	as	ADP
ijassa-775	179	32	ϕ(λ	ϕ(λ	PROPN
ijassa-775	179	33	)	)	PUNCT
ijassa-775	179	34	=	=	SYM
ijassa-775	179	35	det	det	X
ijassa-775	179	36	(	(	PUNCT
ijassa-775	179	37	λi	λi	ADP
ijassa-775	179	38	−	−	PROPN
ijassa-775	179	39	j	j	PROPN
ijassa-775	180	1	[	[	X
ijassa-775	180	2	r(j)]t	r(j)]t	X
ijassa-775	180	3	)	)	PUNCT
ijassa-775	180	4	.	.	PUNCT
ijassa-775	181	1	by	by	ADP
ijassa-775	181	2	reducing	reduce	VERB
ijassa-775	181	3	the	the	DET
ijassa-775	181	4	matrix	matrix	NOUN
ijassa-775	181	5	j	j	PROPN
ijassa-775	181	6	to	to	ADP
ijassa-775	181	7	the	the	DET
ijassa-775	181	8	jordan	jordan	PROPN
ijassa-775	181	9	form	form	NOUN
ijassa-775	181	10	,	,	PUNCT
ijassa-775	181	11	this	this	DET
ijassa-775	181	12	characteristic	characteristic	ADJ
ijassa-775	181	13	polynomial	polynomial	NOUN
ijassa-775	181	14	can	can	AUX
ijassa-775	181	15	be	be	AUX
ijassa-775	181	16	represented	represent	VERB
ijassa-775	181	17	as	as	ADP
ijassa-775	181	18	ϕ(λ	ϕ(λ	PROPN
ijassa-775	181	19	)	)	PUNCT
ijassa-775	182	1	=	=	PUNCT
ijassa-775	182	2	m∏	m∏	ADJ
ijassa-775	182	3	j=1	j=1	NOUN
ijassa-775	182	4	(	(	PUNCT
ijassa-775	182	5	λi	λi	ADP
ijassa-775	182	6	−	−	PROPN
ijassa-775	182	7	µj	µj	PROPN
ijassa-775	183	1	[	[	X
ijassa-775	183	2	r	r	X
ijassa-775	183	3	(	(	PUNCT
ijassa-775	183	4	µj	µj	PROPN
ijassa-775	183	5	)	)	PUNCT
ijassa-775	183	6	]	]	PUNCT
ijassa-775	183	7	t	t	PROPN
ijassa-775	183	8	)	)	PUNCT
ijassa-775	183	9	,	,	PUNCT
ijassa-775	183	10	from	from	ADP
ijassa-775	183	11	where	where	SCONJ
ijassa-775	183	12	the	the	DET
ijassa-775	183	13	theorem	theorem	ADJ
ijassa-775	183	14	conclusion	conclusion	NOUN
ijassa-775	183	15	follows	follow	VERB
ijassa-775	183	16	.	.	PUNCT
ijassa-775	184	1	note	note	VERB
ijassa-775	184	2	that	that	SCONJ
ijassa-775	184	3	the	the	DET
ijassa-775	184	4	condition	condition	NOUN
ijassa-775	184	5	r(1	r(1	PROPN
ijassa-775	184	6	)	)	PUNCT
ijassa-775	184	7	=	=	SYM
ijassa-775	185	1	1	1	NUM
ijassa-775	185	2	is	be	AUX
ijassa-775	185	3	obligatory	obligatory	ADJ
ijassa-775	185	4	.	.	PUNCT
ijassa-775	186	1	if	if	SCONJ
ijassa-775	186	2	,	,	PUNCT
ijassa-775	186	3	additionally	additionally	ADV
ijassa-775	186	4	,	,	PUNCT
ijassa-775	186	5	θj	θj	NOUN
ijassa-775	186	6	∈	∈	PROPN
ijassa-775	187	1	[	[	X
ijassa-775	187	2	0	0	NUM
ijassa-775	187	3	,	,	PUNCT
ijassa-775	187	4	1	1	NUM
ijassa-775	187	5	]	]	PUNCT
ijassa-775	187	6	for	for	ADP
ijassa-775	187	7	j	j	PROPN
ijassa-775	187	8	=	=	SYM
ijassa-775	187	9	1	1	PROPN
ijassa-775	187	10	,	,	PUNCT
ijassa-775	187	11	.	.	PUNCT
ijassa-775	187	12	.	.	PUNCT
ijassa-775	188	1	.	.	PUNCT
ijassa-775	189	1	,	,	PUNCT
ijassa-775	189	2	n	n	X
ijassa-775	189	3	,	,	PUNCT
ijassa-775	189	4	then	then	ADV
ijassa-775	189	5	µj	µj	X
ijassa-775	190	1	[	[	X
ijassa-775	190	2	r	r	X
ijassa-775	190	3	(	(	PUNCT
ijassa-775	190	4	µj	µj	PROPN
ijassa-775	190	5	)	)	PUNCT
ijassa-775	190	6	]	]	PUNCT
ijassa-775	191	1	t	t	X
ijassa-775	191	2	∈	∈	PROPN
ijassa-775	191	3	d	d	NOUN
ijassa-775	191	4	when	when	SCONJ
ijassa-775	191	5	µj	µj	PROPN
ijassa-775	191	6	∈	∈	PROPN
ijassa-775	191	7	d	d	PROPN
ijassa-775	191	8	,	,	PUNCT
ijassa-775	191	9	and	and	CCONJ
ijassa-775	191	10	hence	hence	ADV
ijassa-775	191	11	∣∣∣µj	∣∣∣µj	PUNCT
ijassa-775	192	1	[	[	X
ijassa-775	192	2	r	r	X
ijassa-775	192	3	(	(	PUNCT
ijassa-775	192	4	µj	µj	PROPN
ijassa-775	192	5	)	)	PUNCT
ijassa-775	192	6	]	]	PUNCT
ijassa-775	192	7	t	t	X
ijassa-775	192	8	∣∣∣	∣∣∣	NOUN
ijassa-775	192	9	<	<	X
ijassa-775	192	10	|µj|1+t	|µj|1+t	PROPN
ijassa-775	192	11	.	.	PUNCT
ijassa-775	193	1	this	this	PRON
ijassa-775	193	2	means	mean	VERB
ijassa-775	193	3	that	that	SCONJ
ijassa-775	193	4	if	if	SCONJ
ijassa-775	193	5	some	some	DET
ijassa-775	193	6	multiplier	multipli	ADJ
ijassa-775	193	7	of	of	ADP
ijassa-775	193	8	the	the	DET
ijassa-775	193	9	system	system	NOUN
ijassa-775	193	10	(	(	PUNCT
ijassa-775	193	11	2.1	2.1	NUM
ijassa-775	193	12	)	)	PUNCT
ijassa-775	193	13	cycle	cycle	NOUN
ijassa-775	193	14	lies	lie	VERB
ijassa-775	193	15	in	in	ADP
ijassa-775	193	16	the	the	DET
ijassa-775	193	17	unit	unit	NOUN
ijassa-775	193	18	circle	circle	NOUN
ijassa-775	193	19	,	,	PUNCT
ijassa-775	193	20	the	the	DET
ijassa-775	193	21	corresponding	corresponding	ADJ
ijassa-775	193	22	multiplier	multiplier	NOUN
ijassa-775	193	23	of	of	ADP
ijassa-775	193	24	the	the	DET
ijassa-775	193	25	system	system	NOUN
ijassa-775	193	26	(	(	PUNCT
ijassa-775	193	27	2.2	2.2	NUM
ijassa-775	193	28	)	)	PUNCT
ijassa-775	193	29	will	will	AUX
ijassa-775	193	30	lie	lie	VERB
ijassa-775	193	31	closer	close	ADV
ijassa-775	193	32	to	to	ADP
ijassa-775	193	33	zero	zero	NUM
ijassa-775	193	34	.	.	PUNCT
ijassa-775	194	1	thus	thus	ADV
ijassa-775	194	2	for	for	ADP
ijassa-775	194	3	the	the	DET
ijassa-775	194	4	closed	closed	ADJ
ijassa-775	194	5	loop	loop	NOUN
ijassa-775	194	6	system	system	NOUN
ijassa-775	194	7	,	,	PUNCT
ijassa-775	194	8	the	the	DET
ijassa-775	194	9	stabilization	stabilization	NOUN
ijassa-775	194	10	quality	quality	NOUN
ijassa-775	194	11	is	be	AUX
ijassa-775	194	12	improving	improve	VERB
ijassa-775	194	13	.	.	PUNCT
ijassa-775	195	1	various	various	ADJ
ijassa-775	195	2	estimates	estimate	NOUN
ijassa-775	195	3	for	for	ADP
ijassa-775	195	4	multipliers	multiplier	NOUN
ijassa-775	195	5	allow	allow	VERB
ijassa-775	195	6	us	we	PRON
ijassa-775	195	7	to	to	PART
ijassa-775	195	8	construct	construct	VERB
ijassa-775	195	9	control	control	NOUN
ijassa-775	195	10	systems	system	NOUN
ijassa-775	195	11	that	that	PRON
ijassa-775	195	12	stabilize	stabilize	VERB
ijassa-775	195	13	cycles	cycle	NOUN
ijassa-775	195	14	.	.	PUNCT
ijassa-775	196	1	4.1	4.1	NUM
ijassa-775	196	2	.	.	PUNCT
ijassa-775	196	3	case	case	NOUN
ijassa-775	196	4	m	m	NOUN
ijassa-775	196	5	=	=	SYM
ijassa-775	196	6	{	{	PUNCT
ijassa-775	196	7	µ1	µ1	PROPN
ijassa-775	196	8	,	,	PUNCT
ijassa-775	196	9	.	.	PUNCT
ijassa-775	196	10	.	.	PUNCT
ijassa-775	196	11	.	.	PUNCT
ijassa-775	197	1	,	,	PUNCT
ijassa-775	197	2	µm	µm	ADP
ijassa-775	197	3	}	}	PUNCT
ijassa-775	197	4	if	if	SCONJ
ijassa-775	197	5	the	the	DET
ijassa-775	197	6	multipliers	multiplier	NOUN
ijassa-775	197	7	are	be	AUX
ijassa-775	197	8	exactly	exactly	ADV
ijassa-775	197	9	known	know	VERB
ijassa-775	197	10	,	,	PUNCT
ijassa-775	197	11	we	we	PRON
ijassa-775	197	12	can	can	AUX
ijassa-775	197	13	choose	choose	VERB
ijassa-775	197	14	n	n	NOUN
ijassa-775	197	15	=	=	PUNCT
ijassa-775	197	16	m+	m+	NUM
ijassa-775	197	17	1	1	NUM
ijassa-775	197	18	and	and	CCONJ
ijassa-775	197	19	the	the	DET
ijassa-775	197	20	coefficients	coefficient	NOUN
ijassa-775	197	21	{	{	PUNCT
ijassa-775	197	22	θ1	θ1	NOUN
ijassa-775	197	23	,	,	PUNCT
ijassa-775	197	24	.	.	PUNCT
ijassa-775	197	25	.	.	PUNCT
ijassa-775	198	1	.	.	PUNCT
ijassa-775	199	1	,	,	PUNCT
ijassa-775	199	2	θm+1	θm+1	AUX
ijassa-775	199	3	}	}	PUNCT
ijassa-775	199	4	from	from	ADP
ijassa-775	199	5	the	the	DET
ijassa-775	199	6	condition	condition	NOUN
ijassa-775	199	7	r(µ	r(µ	NOUN
ijassa-775	199	8	)	)	PUNCT
ijassa-775	199	9	=	=	SYM
ijassa-775	199	10	m+1∑	m+1∑	NOUN
ijassa-775	199	11	j=1	j=1	NOUN
ijassa-775	199	12	θjµ	θjµ	PROPN
ijassa-775	200	1	j−1	j−1	X
ijassa-775	200	2	=	=	PUNCT
ijassa-775	200	3	1	1	X
ijassa-775	200	4	m∏	m∏	PROPN
ijassa-775	200	5	k=1	k=1	X
ijassa-775	200	6	(	(	PUNCT
ijassa-775	200	7	1−µk	1−µk	NOUN
ijassa-775	200	8	)	)	PUNCT
ijassa-775	200	9	m∏	m∏	PROPN
ijassa-775	200	10	k=1	k=1	PUNCT
ijassa-775	201	1	(	(	PUNCT
ijassa-775	201	2	µ−	µ−	PROPN
ijassa-775	201	3	µk	µk	PROPN
ijassa-775	201	4	)	)	PUNCT
ijassa-775	201	5	.	.	PUNCT
ijassa-775	202	1	then	then	ADV
ijassa-775	202	2	from	from	ADP
ijassa-775	202	3	theorem	theorem	ADJ
ijassa-775	202	4	4.1	4.1	NUM
ijassa-775	202	5	we	we	PRON
ijassa-775	202	6	get	get	VERB
ijassa-775	202	7	the	the	DET
ijassa-775	202	8	following	follow	VERB
ijassa-775	202	9	conclusion	conclusion	NOUN
ijassa-775	202	10	.	.	PUNCT
ijassa-775	203	1	conclusion	conclusion	NOUN
ijassa-775	203	2	.	.	PUNCT
ijassa-775	204	1	suppose	suppose	VERB
ijassa-775	204	2	that	that	SCONJ
ijassa-775	204	3	f	f	PROPN
ijassa-775	204	4	∈	∈	PROPN
ijassa-775	204	5	c1	c1	PROPN
ijassa-775	204	6	and	and	CCONJ
ijassa-775	204	7	the	the	DET
ijassa-775	204	8	system	system	NOUN
ijassa-775	204	9	(	(	PUNCT
ijassa-775	204	10	2.1	2.1	NUM
ijassa-775	204	11	)	)	PUNCT
ijassa-775	204	12	has	have	VERB
ijassa-775	204	13	an	an	DET
ijassa-775	204	14	unstable	unstable	ADJ
ijassa-775	204	15	t	t	NOUN
ijassa-775	204	16	cycle	cycle	NOUN
ijassa-775	204	17	with	with	ADP
ijassa-775	204	18	multipliers	multiplier	NOUN
ijassa-775	204	19	{	{	PUNCT
ijassa-775	204	20	µ1	µ1	PROPN
ijassa-775	204	21	,	,	PUNCT
ijassa-775	204	22	.	.	PUNCT
ijassa-775	204	23	.	.	PUNCT
ijassa-775	205	1	.	.	PUNCT
ijassa-775	206	1	,	,	PUNCT
ijassa-775	206	2	µm	µm	ADP
ijassa-775	206	3	}	}	PUNCT
ijassa-775	206	4	,	,	PUNCT
ijassa-775	206	5	and	and	CCONJ
ijassa-775	206	6	the	the	DET
ijassa-775	206	7	coefficients	coefficient	NOUN
ijassa-775	206	8	θ1	θ1	NOUN
ijassa-775	206	9	,	,	PUNCT
ijassa-775	206	10	.	.	PUNCT
ijassa-775	206	11	.	.	PUNCT
ijassa-775	207	1	.	.	PUNCT
ijassa-775	208	1	,	,	PUNCT
ijassa-775	208	2	θm+1	θm+1	PROPN
ijassa-775	208	3	are	be	AUX
ijassa-775	208	4	found	find	VERB
ijassa-775	208	5	as	as	ADP
ijassa-775	208	6	exposed	expose	VERB
ijassa-775	208	7	above	above	ADV
ijassa-775	208	8	.	.	PUNCT
ijassa-775	209	1	then	then	ADV
ijassa-775	209	2	this	this	DET
ijassa-775	209	3	cycle	cycle	NOUN
ijassa-775	209	4	will	will	AUX
ijassa-775	209	5	be	be	AUX
ijassa-775	209	6	a	a	DET
ijassa-775	209	7	locally	locally	ADV
ijassa-775	209	8	asymptotically	asymptotically	ADV
ijassa-775	209	9	stable	stable	ADJ
ijassa-775	209	10	cycle	cycle	NOUN
ijassa-775	209	11	of	of	ADP
ijassa-775	209	12	system	system	NOUN
ijassa-775	209	13	(	(	PUNCT
ijassa-775	209	14	2.2	2.2	NUM
ijassa-775	209	15	)	)	PUNCT
ijassa-775	209	16	.	.	PUNCT
ijassa-775	210	1	moreover	moreover	ADV
ijassa-775	210	2	,	,	PUNCT
ijassa-775	210	3	if	if	SCONJ
ijassa-775	210	4	the	the	DET
ijassa-775	210	5	initial	initial	ADJ
ijassa-775	210	6	point	point	NOUN
ijassa-775	210	7	belongs	belong	VERB
ijassa-775	210	8	to	to	ADP
ijassa-775	210	9	the	the	DET
ijassa-775	210	10	cycle	cycle	NOUN
ijassa-775	210	11	basin	basin	NOUN
ijassa-775	210	12	of	of	ADP
ijassa-775	210	13	attraction	attraction	NOUN
ijassa-775	210	14	,	,	PUNCT
ijassa-775	210	15	the	the	DET
ijassa-775	210	16	convergence	convergence	NOUN
ijassa-775	210	17	to	to	ADP
ijassa-775	210	18	the	the	DET
ijassa-775	210	19	cycle	cycle	NOUN
ijassa-775	210	20	is	be	AUX
ijassa-775	210	21	superlinear	superlinear	ADJ
ijassa-775	210	22	.	.	PUNCT
ijassa-775	211	1	the	the	DET
ijassa-775	211	2	superlinearity	superlinearity	NOUN
ijassa-775	211	3	of	of	ADP
ijassa-775	211	4	the	the	DET
ijassa-775	211	5	convergence	convergence	NOUN
ijassa-775	211	6	rate	rate	NOUN
ijassa-775	211	7	follows	follow	VERB
ijassa-775	211	8	from	from	ADP
ijassa-775	211	9	the	the	DET
ijassa-775	211	10	fact	fact	NOUN
ijassa-775	211	11	that	that	SCONJ
ijassa-775	211	12	all	all	DET
ijassa-775	211	13	multipliers	multiplier	NOUN
ijassa-775	211	14	of	of	ADP
ijassa-775	211	15	system	system	NOUN
ijassa-775	211	16	(	(	PUNCT
ijassa-775	211	17	2.2	2.2	NUM
ijassa-775	211	18	)	)	PUNCT
ijassa-775	211	19	{	{	PUNCT
ijassa-775	211	20	η1	η1	NOUN
ijassa-775	211	21	,	,	PUNCT
ijassa-775	211	22	.	.	PUNCT
ijassa-775	211	23	.	.	PUNCT
ijassa-775	212	1	.	.	PUNCT
ijassa-775	213	1	,	,	PUNCT
ijassa-775	213	2	ηt	ηt	ADP
ijassa-775	213	3	}	}	PUNCT
ijassa-775	213	4	cycle	cycle	NOUN
ijassa-775	213	5	turn	turn	VERB
ijassa-775	213	6	out	out	ADP
ijassa-775	213	7	to	to	PART
ijassa-775	213	8	be	be	AUX
ijassa-775	213	9	zero	zero	NUM
ijassa-775	213	10	.	.	PUNCT
ijassa-775	214	1	note	note	VERB
ijassa-775	214	2	that	that	SCONJ
ijassa-775	214	3	the	the	DET
ijassa-775	214	4	authors	author	NOUN
ijassa-775	214	5	are	be	AUX
ijassa-775	214	6	unaware	unaware	ADJ
ijassa-775	214	7	about	about	ADP
ijassa-775	214	8	any	any	DET
ijassa-775	214	9	other	other	ADJ
ijassa-775	214	10	method	method	NOUN
ijassa-775	214	11	that	that	PRON
ijassa-775	214	12	allow	allow	VERB
ijassa-775	214	13	to	to	PART
ijassa-775	214	14	stabilize	stabilize	VERB
ijassa-775	214	15	a	a	DET
ijassa-775	214	16	cycle	cycle	NOUN
ijassa-775	214	17	by	by	ADP
ijassa-775	214	18	knowing	know	VERB
ijassa-775	214	19	the	the	DET
ijassa-775	214	20	cycle	cycle	NOUN
ijassa-775	214	21	multipliers	multiplier	NOUN
ijassa-775	214	22	only	only	ADV
ijassa-775	214	23	.	.	PUNCT
ijassa-775	215	1	unfortunately	unfortunately	ADV
ijassa-775	215	2	,	,	PUNCT
ijassa-775	215	3	in	in	ADP
ijassa-775	215	4	a	a	DET
ijassa-775	215	5	typical	typical	ADJ
ijassa-775	215	6	situation	situation	NOUN
ijassa-775	215	7	the	the	DET
ijassa-775	215	8	multipliers	multiplier	NOUN
ijassa-775	215	9	are	be	AUX
ijassa-775	215	10	either	either	ADV
ijassa-775	215	11	unknown	unknown	ADJ
ijassa-775	215	12	.	.	PUNCT
ijassa-775	216	1	the	the	DET
ijassa-775	216	2	best	good	ADJ
ijassa-775	216	3	we	we	PRON
ijassa-775	216	4	can	can	AUX
ijassa-775	216	5	expect	expect	VERB
ijassa-775	216	6	is	be	AUX
ijassa-775	216	7	to	to	PART
ijassa-775	216	8	localize	localize	VERB
ijassa-775	216	9	them	they	PRON
ijassa-775	216	10	approximately	approximately	ADV
ijassa-775	216	11	.	.	PUNCT
ijassa-775	217	1	what	what	PRON
ijassa-775	217	2	to	to	PART
ijassa-775	217	3	do	do	AUX
ijassa-775	217	4	in	in	ADP
ijassa-775	217	5	that	that	DET
ijassa-775	217	6	case	case	NOUN
ijassa-775	217	7	is	be	AUX
ijassa-775	217	8	considered	consider	VERB
ijassa-775	217	9	in	in	ADP
ijassa-775	217	10	the	the	DET
ijassa-775	217	11	next	next	ADJ
ijassa-775	217	12	section	section	NOUN
ijassa-775	217	13	.	.	PUNCT
ijassa-775	218	1	copyright	copyright	NOUN
ijassa-775	218	2	c	c	ADP
ijassa-775	218	3	©	©	PROPN
ijassa-775	218	4	2020	2020	NUM
ijassa-775	218	5	assa	assa	NOUN
ijassa-775	218	6	.	.	PUNCT
ijassa-775	219	1	adv	adv	PROPN
ijassa-775	219	2	syst	syst	PROPN
ijassa-775	219	3	sci	sci	PROPN
ijassa-775	219	4	appl	appl	PROPN
ijassa-775	219	5	(	(	PUNCT
ijassa-775	219	6	2020	2020	NUM
ijassa-775	219	7	)	)	PUNCT
ijassa-775	219	8	average	average	ADJ
ijassa-775	219	9	predictive	predictive	ADJ
ijassa-775	219	10	control	control	NOUN
ijassa-775	219	11	33	33	NUM
ijassa-775	219	12	4.2	4.2	NUM
ijassa-775	219	13	.	.	PUNCT
ijassa-775	220	1	case	case	NOUN
ijassa-775	220	2	m	m	NOUN
ijassa-775	220	3	=	=	PUNCT
ijassa-775	220	4	{	{	PUNCT
ijassa-775	220	5	z	z	NOUN
ijassa-775	220	6	:	:	PUNCT
ijassa-775	220	7	re	re	VERB
ijassa-775	220	8	z	z	NOUN
ijassa-775	220	9	≤	≤	ADV
ijassa-775	220	10	0	0	NUM
ijassa-775	220	11	}	}	PUNCT
ijassa-775	220	12	∪	∪	NOUN
ijassa-775	220	13	d	d	NOUN
ijassa-775	220	14	theorem	theorem	ADJ
ijassa-775	220	15	4.2	4.2	NUM
ijassa-775	220	16	:	:	PUNCT
ijassa-775	220	17	suppose	suppose	VERB
ijassa-775	220	18	f	f	PROPN
ijassa-775	220	19	∈	∈	PROPN
ijassa-775	220	20	c1	c1	PROPN
ijassa-775	220	21	and	and	CCONJ
ijassa-775	220	22	that	that	DET
ijassa-775	220	23	system	system	NOUN
ijassa-775	220	24	(	(	PUNCT
ijassa-775	220	25	2.1	2.1	NUM
ijassa-775	220	26	)	)	PUNCT
ijassa-775	220	27	has	have	VERB
ijassa-775	220	28	an	an	DET
ijassa-775	220	29	unstable	unstable	ADJ
ijassa-775	220	30	t	t	NOUN
ijassa-775	220	31	-cycle	-cycle	NOUN
ijassa-775	220	32	with	with	ADP
ijassa-775	220	33	multipliers	multiplier	NOUN
ijassa-775	220	34	{	{	PUNCT
ijassa-775	220	35	µ1	µ1	PROPN
ijassa-775	220	36	,	,	PUNCT
ijassa-775	220	37	.	.	PUNCT
ijassa-775	220	38	.	.	PUNCT
ijassa-775	221	1	.	.	PUNCT
ijassa-775	222	1	,	,	PUNCT
ijassa-775	222	2	µm	µm	ADP
ijassa-775	222	3	}	}	PUNCT
ijassa-775	222	4	satisfying	satisfy	VERB
ijassa-775	222	5	the	the	DET
ijassa-775	222	6	conditions	condition	NOUN
ijassa-775	222	7	:	:	PUNCT
ijassa-775	222	8	|µj	|µj	NUM
ijassa-775	222	9	−	−	PROPN
ijassa-775	222	10	µ̂j|	µ̂j|	PROPN
ijassa-775	222	11	<	<	X
ijassa-775	222	12	δj	δj	NOUN
ijassa-775	222	13	,	,	PUNCT
ijassa-775	222	14	re	re	X
ijassa-775	222	15	{	{	PUNCT
ijassa-775	222	16	µj	µj	PROPN
ijassa-775	222	17	}	}	PUNCT
ijassa-775	222	18	≤	≤	NUM
ijassa-775	222	19	0	0	NUM
ijassa-775	222	20	,	,	PUNCT
ijassa-775	222	21	j	j	PROPN
ijassa-775	222	22	=	=	SYM
ijassa-775	222	23	1	1	NUM
ijassa-775	222	24	,	,	PUNCT
ijassa-775	222	25	.	.	PUNCT
ijassa-775	222	26	.	.	PUNCT
ijassa-775	222	27	.	.	PUNCT
ijassa-775	223	1	,	,	PUNCT
ijassa-775	223	2	n1	n1	NOUN
ijassa-775	223	3	,	,	PUNCT
ijassa-775	223	4	|µj|	|µj|	X
ijassa-775	223	5	<	<	X
ijassa-775	223	6	1	1	NUM
ijassa-775	223	7	,	,	PUNCT
ijassa-775	223	8	j	j	PROPN
ijassa-775	223	9	=	=	SYM
ijassa-775	223	10	n1	n1	PROPN
ijassa-775	223	11	+	+	CCONJ
ijassa-775	223	12	1	1	NUM
ijassa-775	223	13	,	,	PUNCT
ijassa-775	223	14	.	.	PUNCT
ijassa-775	223	15	.	.	PUNCT
ijassa-775	223	16	.	.	PUNCT
ijassa-775	224	1	,	,	PUNCT
ijassa-775	224	2	m.	m.	NOUN
ijassa-775	224	3	let	let	VERB
ijassa-775	224	4	the	the	DET
ijassa-775	224	5	coefficients	coefficient	NOUN
ijassa-775	224	6	θj	θj	ADV
ijassa-775	224	7	,	,	PUNCT
ijassa-775	224	8	j	j	PROPN
ijassa-775	224	9	=	=	NOUN
ijassa-775	224	10	1	1	NUM
ijassa-775	224	11	,	,	PUNCT
ijassa-775	224	12	.	.	PUNCT
ijassa-775	224	13	.	.	PUNCT
ijassa-775	225	1	.	.	PUNCT
ijassa-775	226	1	,	,	PUNCT
ijassa-775	226	2	n	n	X
ijassa-775	226	3	,	,	PUNCT
ijassa-775	226	4	of	of	ADP
ijassa-775	226	5	the	the	DET
ijassa-775	226	6	system	system	NOUN
ijassa-775	226	7	(	(	PUNCT
ijassa-775	226	8	2.2	2.2	NUM
ijassa-775	226	9	)	)	PUNCT
ijassa-775	226	10	be	be	AUX
ijassa-775	226	11	determined	determine	VERB
ijassa-775	226	12	from	from	ADP
ijassa-775	226	13	the	the	DET
ijassa-775	226	14	condition	condition	NOUN
ijassa-775	226	15	n1	n1	NOUN
ijassa-775	227	1	+	+	PROPN
ijassa-775	227	2	1∑	1∑	NOUN
ijassa-775	227	3	j=1	j=1	NOUN
ijassa-775	227	4	θjµ	θjµ	PROPN
ijassa-775	227	5	j−1	j−1	PROPN
ijassa-775	227	6	=	=	SYM
ijassa-775	227	7	1	1	NUM
ijassa-775	227	8	n1∏	n1∏	NOUN
ijassa-775	227	9	k=1	k=1	X
ijassa-775	227	10	(	(	PUNCT
ijassa-775	227	11	1−	1−	NUM
ijassa-775	227	12	µ̂k	µ̂k	NOUN
ijassa-775	227	13	)	)	PUNCT
ijassa-775	227	14	n1∏	n1∏	NOUN
ijassa-775	227	15	k=1	k=1	X
ijassa-775	227	16	(	(	PUNCT
ijassa-775	227	17	µ−	µ−	PROPN
ijassa-775	227	18	µ̂k	µ̂k	NOUN
ijassa-775	227	19	)	)	PUNCT
ijassa-775	227	20	(	(	PUNCT
ijassa-775	227	21	here	here	ADV
ijassa-775	227	22	n	n	NOUN
ijassa-775	227	23	=	=	SYM
ijassa-775	227	24	n1	n1	PROPN
ijassa-775	227	25	+	+	CCONJ
ijassa-775	227	26	1	1	NUM
ijassa-775	227	27	)	)	PUNCT
ijassa-775	227	28	.	.	PUNCT
ijassa-775	228	1	then	then	ADV
ijassa-775	228	2	,	,	PUNCT
ijassa-775	228	3	for	for	ADP
ijassa-775	228	4	sufficiently	sufficiently	ADV
ijassa-775	228	5	small	small	ADJ
ijassa-775	228	6	values	value	NOUN
ijassa-775	228	7	δj	δj	VERB
ijassa-775	228	8	,	,	PUNCT
ijassa-775	228	9	j	j	PROPN
ijassa-775	228	10	=	=	SYM
ijassa-775	228	11	1	1	NUM
ijassa-775	228	12	,	,	PUNCT
ijassa-775	228	13	.	.	PUNCT
ijassa-775	228	14	.	.	PUNCT
ijassa-775	228	15	.	.	PUNCT
ijassa-775	229	1	,	,	PUNCT
ijassa-775	229	2	n1	n1	PROPN
ijassa-775	229	3	,	,	PUNCT
ijassa-775	229	4	the	the	DET
ijassa-775	229	5	t	t	NOUN
ijassa-775	229	6	-cycle	-cycle	NOUN
ijassa-775	229	7	will	will	AUX
ijassa-775	229	8	be	be	AUX
ijassa-775	229	9	a	a	DET
ijassa-775	229	10	locally	locally	ADV
ijassa-775	229	11	asymptotically	asymptotically	ADV
ijassa-775	229	12	stable	stable	ADJ
ijassa-775	229	13	cycle	cycle	NOUN
ijassa-775	229	14	of	of	ADP
ijassa-775	229	15	system	system	NOUN
ijassa-775	229	16	(	(	PUNCT
ijassa-775	229	17	2.2	2.2	NUM
ijassa-775	229	18	)	)	PUNCT
ijassa-775	229	19	.	.	PUNCT
ijassa-775	230	1	proof	proof	NOUN
ijassa-775	230	2	since	since	SCONJ
ijassa-775	230	3	re	re	ADP
ijassa-775	230	4	{	{	PUNCT
ijassa-775	230	5	µj	µj	ADP
ijassa-775	230	6	}	}	PUNCT
ijassa-775	230	7	<	<	X
ijassa-775	230	8	0	0	PROPN
ijassa-775	230	9	,	,	PUNCT
ijassa-775	230	10	j	j	PROPN
ijassa-775	230	11	=	=	SYM
ijassa-775	230	12	1	1	NUM
ijassa-775	230	13	,	,	PUNCT
ijassa-775	230	14	.	.	PUNCT
ijassa-775	230	15	.	.	PUNCT
ijassa-775	231	1	.	.	PUNCT
ijassa-775	232	1	,	,	PUNCT
ijassa-775	232	2	n1	n1	NOUN
ijassa-775	232	3	,	,	PUNCT
ijassa-775	232	4	then	then	ADV
ijassa-775	232	5	all	all	DET
ijassa-775	232	6	coefficients	coefficient	NOUN
ijassa-775	232	7	θj	θj	ADV
ijassa-775	232	8	>	>	X
ijassa-775	232	9	0	0	PROPN
ijassa-775	232	10	,	,	PUNCT
ijassa-775	232	11	j	j	PROPN
ijassa-775	232	12	=	=	SYM
ijassa-775	232	13	1	1	NUM
ijassa-775	232	14	,	,	PUNCT
ijassa-775	232	15	.	.	PUNCT
ijassa-775	232	16	.	.	PUNCT
ijassa-775	233	1	.	.	PUNCT
ijassa-775	234	1	,	,	PUNCT
ijassa-775	234	2	n1	n1	PROPN
ijassa-775	234	3	.	.	PUNCT
ijassa-775	235	1	that	that	PRON
ijassa-775	235	2	means	mean	VERB
ijassa-775	235	3	that	that	SCONJ
ijassa-775	235	4	∣∣∣µ	∣∣∣µ	NOUN
ijassa-775	235	5	[	[	X
ijassa-775	235	6	r	r	X
ijassa-775	235	7	(	(	PUNCT
ijassa-775	235	8	µ)]t	µ)]t	NOUN
ijassa-775	235	9	∣∣∣	∣∣∣	NOUN
ijassa-775	235	10	<	<	X
ijassa-775	235	11	|µ|1+t	|µ|1+t	NUM
ijassa-775	235	12	when	when	SCONJ
ijassa-775	235	13	|µ|	|µ|	PROPN
ijassa-775	235	14	<	<	X
ijassa-775	235	15	1	1	NUM
ijassa-775	235	16	,	,	PUNCT
ijassa-775	235	17	i.e.	i.e.	X
ijassa-775	235	18	the	the	DET
ijassa-775	235	19	eigenvalues	eigenvalue	NOUN
ijassa-775	235	20	of	of	ADP
ijassa-775	235	21	the	the	DET
ijassa-775	235	22	jacobi	jacobi	PROPN
ijassa-775	235	23	matrix	matrix	NOUN
ijassa-775	235	24	of	of	ADP
ijassa-775	235	25	system	system	NOUN
ijassa-775	235	26	(	(	PUNCT
ijassa-775	235	27	2.2	2.2	NUM
ijassa-775	235	28	)	)	PUNCT
ijassa-775	235	29	cycle	cycle	NOUN
ijassa-775	235	30	corresponding	correspond	VERB
ijassa-775	235	31	to	to	ADP
ijassa-775	235	32	multipliers	multiplier	NOUN
ijassa-775	235	33	µj	µj	PROPN
ijassa-775	235	34	,	,	PUNCT
ijassa-775	235	35	j	j	PROPN
ijassa-775	235	36	=	=	SYM
ijassa-775	235	37	n1	n1	PROPN
ijassa-775	235	38	+	+	CCONJ
ijassa-775	235	39	1	1	NUM
ijassa-775	235	40	,	,	PUNCT
ijassa-775	235	41	.	.	PUNCT
ijassa-775	235	42	.	.	PUNCT
ijassa-775	236	1	.	.	PUNCT
ijassa-775	237	1	,	,	PUNCT
ijassa-775	237	2	m	m	VERB
ijassa-775	237	3	,	,	PUNCT
ijassa-775	237	4	are	be	AUX
ijassa-775	237	5	smaller	small	ADJ
ijassa-775	237	6	than	than	ADP
ijassa-775	237	7	the	the	DET
ijassa-775	237	8	multipliers	multiplier	NOUN
ijassa-775	237	9	absolute	absolute	ADJ
ijassa-775	237	10	values	value	NOUN
ijassa-775	237	11	.	.	PUNCT
ijassa-775	238	1	let	let	VERB
ijassa-775	238	2	δj	δj	VERB
ijassa-775	238	3	=	=	SYM
ijassa-775	238	4	0	0	NUM
ijassa-775	238	5	,	,	PUNCT
ijassa-775	238	6	j	j	PROPN
ijassa-775	238	7	=	=	SYM
ijassa-775	238	8	1	1	NUM
ijassa-775	238	9	,	,	PUNCT
ijassa-775	238	10	.	.	PUNCT
ijassa-775	238	11	.	.	PUNCT
ijassa-775	239	1	.	.	PUNCT
ijassa-775	240	1	,	,	PUNCT
ijassa-775	240	2	n1	n1	NOUN
ijassa-775	240	3	,	,	PUNCT
ijassa-775	240	4	then	then	ADV
ijassa-775	240	5	the	the	DET
ijassa-775	240	6	eigenvalues	eigenvalue	NOUN
ijassa-775	240	7	corresponding	correspond	VERB
ijassa-775	240	8	to	to	ADP
ijassa-775	240	9	multipliers	multiplier	NOUN
ijassa-775	240	10	µj	µj	PROPN
ijassa-775	240	11	,	,	PUNCT
ijassa-775	240	12	j	j	PROPN
ijassa-775	240	13	=	=	NOUN
ijassa-775	240	14	1	1	NUM
ijassa-775	240	15	,	,	PUNCT
ijassa-775	240	16	.	.	PUNCT
ijassa-775	240	17	.	.	PUNCT
ijassa-775	240	18	.	.	PUNCT
ijassa-775	241	1	,	,	PUNCT
ijassa-775	241	2	n1	n1	NOUN
ijassa-775	241	3	,	,	PUNCT
ijassa-775	241	4	are	be	AUX
ijassa-775	241	5	equal	equal	ADJ
ijassa-775	241	6	to	to	ADP
ijassa-775	241	7	zero	zero	NUM
ijassa-775	241	8	.	.	PUNCT
ijassa-775	242	1	when	when	SCONJ
ijassa-775	242	2	δj	δj	ADV
ijassa-775	242	3	,	,	PUNCT
ijassa-775	242	4	j	j	PROPN
ijassa-775	242	5	=	=	SYM
ijassa-775	242	6	1	1	NUM
ijassa-775	242	7	,	,	PUNCT
ijassa-775	242	8	.	.	PUNCT
ijassa-775	242	9	.	.	PUNCT
ijassa-775	242	10	.	.	PUNCT
ijassa-775	243	1	,	,	PUNCT
ijassa-775	243	2	n1	n1	NOUN
ijassa-775	243	3	,	,	PUNCT
ijassa-775	243	4	are	be	AUX
ijassa-775	243	5	sufficiently	sufficiently	ADV
ijassa-775	243	6	small	small	ADJ
ijassa-775	243	7	in	in	ADP
ijassa-775	243	8	magnitude	magnitude	NOUN
ijassa-775	243	9	,	,	PUNCT
ijassa-775	243	10	these	these	DET
ijassa-775	243	11	eigenvalues	eigenvalue	NOUN
ijassa-775	243	12	will	will	AUX
ijassa-775	243	13	lie	lie	VERB
ijassa-775	243	14	in	in	ADP
ijassa-775	243	15	the	the	DET
ijassa-775	243	16	central	central	ADJ
ijassa-775	243	17	unit	unit	NOUN
ijassa-775	243	18	circle	circle	NOUN
ijassa-775	243	19	,	,	PUNCT
ijassa-775	243	20	as	as	SCONJ
ijassa-775	243	21	follows	follow	VERB
ijassa-775	243	22	from	from	ADP
ijassa-775	243	23	rouche	rouche	PROPN
ijassa-775	243	24	theorem	theorem	PROPN
ijassa-775	243	25	.	.	PUNCT
ijassa-775	244	1	thus	thus	ADV
ijassa-775	244	2	,	,	PUNCT
ijassa-775	244	3	all	all	PRON
ijassa-775	244	4	eigenvalues	eigenvalue	VERB
ijassa-775	244	5	will	will	AUX
ijassa-775	244	6	less	less	ADJ
ijassa-775	244	7	than	than	ADP
ijassa-775	244	8	1	1	NUM
ijassa-775	244	9	in	in	ADP
ijassa-775	244	10	absolute	absolute	ADJ
ijassa-775	244	11	value	value	NOUN
ijassa-775	244	12	,	,	PUNCT
ijassa-775	244	13	which	which	PRON
ijassa-775	244	14	means	mean	VERB
ijassa-775	244	15	local	local	ADJ
ijassa-775	244	16	asymptotic	asymptotic	ADJ
ijassa-775	244	17	stability	stability	NOUN
ijassa-775	244	18	.	.	PUNCT
ijassa-775	245	1	4.3	4.3	NUM
ijassa-775	245	2	.	.	PUNCT
ijassa-775	245	3	case	case	NOUN
ijassa-775	245	4	m	m	NOUN
ijassa-775	245	5	=	=	SYM
ijassa-775	245	6	d	d	X
ijassa-775	245	7	∪	∪	X
ijassa-775	245	8	{	{	PUNCT
ijassa-775	245	9	µ∗	µ∗	NOUN
ijassa-775	245	10	}	}	PUNCT
ijassa-775	245	11	,	,	PUNCT
ijassa-775	245	12	|µ∗|	|µ∗|	X
ijassa-775	245	13	>	>	X
ijassa-775	245	14	1	1	NUM
ijassa-775	246	1	[	[	X
ijassa-775	246	2	23	23	NUM
ijassa-775	246	3	]	]	PUNCT
ijassa-775	246	4	in	in	ADP
ijassa-775	246	5	[	[	X
ijassa-775	246	6	23	23	NUM
ijassa-775	246	7	]	]	PUNCT
ijassa-775	246	8	,	,	PUNCT
ijassa-775	246	9	the	the	DET
ijassa-775	246	10	coefficients	coefficient	NOUN
ijassa-775	246	11	θ1	θ1	NOUN
ijassa-775	246	12	,	,	PUNCT
ijassa-775	246	13	.	.	PUNCT
ijassa-775	246	14	.	.	PUNCT
ijassa-775	246	15	.	.	PUNCT
ijassa-775	247	1	,	,	PUNCT
ijassa-775	247	2	θn	θn	NOUN
ijassa-775	247	3	were	be	AUX
ijassa-775	247	4	chosen	choose	VERB
ijassa-775	247	5	as	as	ADP
ijassa-775	247	6	θ1	θ1	NOUN
ijassa-775	247	7	=	=	SYM
ijassa-775	247	8	1	1	NUM
ijassa-775	247	9	,	,	PUNCT
ijassa-775	247	10	θ2	θ2	ADV
ijassa-775	247	11	=	=	PUNCT
ijassa-775	247	12	.	.	PUNCT
ijassa-775	247	13	.	.	PUNCT
ijassa-775	247	14	.	.	PUNCT
ijassa-775	248	1	=	=	NOUN
ijassa-775	249	1	θn−2	θn−2	ADV
ijassa-775	249	2	=	=	SYM
ijassa-775	249	3	0	0	NUM
ijassa-775	249	4	,	,	PUNCT
ijassa-775	249	5	θn−1	θn−1	ADJ
ijassa-775	249	6	=	=	SYM
ijassa-775	249	7	−θn	−θn	NOUN
ijassa-775	249	8	=	=	SYM
ijassa-775	249	9	ε	ε	PROPN
ijassa-775	249	10	,	,	PUNCT
ijassa-775	249	11	where	where	SCONJ
ijassa-775	249	12	ε	ε	PROPN
ijassa-775	249	13	=	=	SYM
ijassa-775	249	14	1∓	1∓	PROPN
ijassa-775	249	15	(	(	PUNCT
ijassa-775	249	16	|µ∗|	|µ∗|	NUM
ijassa-775	249	17	/ρ)−	/ρ)−	PROPN
ijassa-775	249	18	1	1	NUM
ijassa-775	249	19	t	t	NOUN
ijassa-775	249	20	(	(	PUNCT
ijassa-775	249	21	µ∗)n−2	µ∗)n−2	PROPN
ijassa-775	249	22	(	(	PUNCT
ijassa-775	249	23	µ∗	µ∗	VERB
ijassa-775	249	24	−	−	PROPN
ijassa-775	249	25	1	1	NUM
ijassa-775	249	26	)	)	PUNCT
ijassa-775	249	27	,	,	PUNCT
ijassa-775	249	28	0	0	NUM
ijassa-775	249	29	<	<	X
ijassa-775	249	30	ρ	ρ	X
ijassa-775	249	31	<	<	X
ijassa-775	249	32	1	1	NUM
ijassa-775	249	33	.	.	PUNCT
ijassa-775	249	34	such	such	DET
ijassa-775	249	35	a	a	DET
ijassa-775	249	36	choice	choice	NOUN
ijassa-775	249	37	ensures	ensure	VERB
ijassa-775	249	38	that	that	SCONJ
ijassa-775	249	39	the	the	DET
ijassa-775	249	40	multipliers	multiplier	NOUN
ijassa-775	249	41	belong	belong	VERB
ijassa-775	249	42	to	to	ADP
ijassa-775	249	43	the	the	DET
ijassa-775	249	44	open	open	ADJ
ijassa-775	249	45	central	central	ADJ
ijassa-775	249	46	unit	unit	NOUN
ijassa-775	249	47	interval	interval	NOUN
ijassa-775	249	48	corresponding	correspond	VERB
ijassa-775	249	49	to	to	ADP
ijassa-775	249	50	µ∗.	µ∗.	PROPN
ijassa-775	249	51	however	however	ADV
ijassa-775	249	52	,	,	PUNCT
ijassa-775	249	53	the	the	DET
ijassa-775	249	54	condition∣∣∣µ	condition∣∣∣µ	NOUN
ijassa-775	249	55	[	[	X
ijassa-775	249	56	r(µ)]t	r(µ)]t	X
ijassa-775	249	57	∣∣∣	∣∣∣	NOUN
ijassa-775	249	58	<	<	X
ijassa-775	249	59	1	1	NUM
ijassa-775	249	60	with	with	ADP
ijassa-775	249	61	|µ|	|µ|	PROPN
ijassa-775	249	62	<	<	X
ijassa-775	249	63	1	1	NUM
ijassa-775	249	64	is	be	AUX
ijassa-775	249	65	not	not	PART
ijassa-775	249	66	necessarily	necessarily	ADV
ijassa-775	249	67	satisfied	satisfied	ADJ
ijassa-775	249	68	.	.	PUNCT
ijassa-775	250	1	nevertheless	nevertheless	ADV
ijassa-775	250	2	,	,	PUNCT
ijassa-775	250	3	the	the	DET
ijassa-775	250	4	value	value	NOUN
ijassa-775	250	5	ε	ε	PROPN
ijassa-775	250	6	can	can	AUX
ijassa-775	250	7	be	be	AUX
ijassa-775	250	8	made	make	VERB
ijassa-775	250	9	arbitrarily	arbitrarily	ADV
ijassa-775	250	10	small	small	ADJ
ijassa-775	250	11	by	by	ADP
ijassa-775	250	12	choosing	choose	VERB
ijassa-775	250	13	the	the	DET
ijassa-775	250	14	number	number	NOUN
ijassa-775	250	15	n	n	NOUN
ijassa-775	250	16	large	large	ADJ
ijassa-775	250	17	.	.	PUNCT
ijassa-775	251	1	and	and	CCONJ
ijassa-775	251	2	then	then	ADV
ijassa-775	251	3	,	,	PUNCT
ijassa-775	251	4	from	from	ADP
ijassa-775	251	5	rouche	rouche	PROPN
ijassa-775	251	6	’s	’s	PART
ijassa-775	251	7	theorem	theorem	PROPN
ijassa-775	251	8	,	,	PUNCT
ijassa-775	251	9	it	it	PRON
ijassa-775	251	10	follows	follow	VERB
ijassa-775	251	11	that	that	SCONJ
ijassa-775	251	12	with	with	ADP
ijassa-775	251	13	a	a	DET
ijassa-775	251	14	sufficiently	sufficiently	ADV
ijassa-775	251	15	large	large	ADJ
ijassa-775	251	16	n	n	CCONJ
ijassa-775	251	17	the	the	DET
ijassa-775	251	18	other	other	ADJ
ijassa-775	251	19	multipliers	multiplier	NOUN
ijassa-775	251	20	will	will	AUX
ijassa-775	251	21	remain	remain	VERB
ijassa-775	251	22	within	within	ADP
ijassa-775	251	23	the	the	DET
ijassa-775	251	24	central	central	ADJ
ijassa-775	251	25	unit	unit	NOUN
ijassa-775	251	26	circle	circle	NOUN
ijassa-775	251	27	.	.	PUNCT
ijassa-775	252	1	this	this	PRON
ijassa-775	252	2	ensures	ensure	VERB
ijassa-775	252	3	the	the	DET
ijassa-775	252	4	local	local	ADJ
ijassa-775	252	5	asymptotic	asymptotic	ADJ
ijassa-775	252	6	stability	stability	NOUN
ijassa-775	252	7	of	of	ADP
ijassa-775	252	8	the	the	DET
ijassa-775	252	9	system	system	NOUN
ijassa-775	252	10	(	(	PUNCT
ijassa-775	252	11	2.2	2.2	NUM
ijassa-775	252	12	)	)	PUNCT
ijassa-775	252	13	cycle	cycle	NOUN
ijassa-775	252	14	.	.	PUNCT
ijassa-775	253	1	when	when	SCONJ
ijassa-775	253	2	it	it	PRON
ijassa-775	253	3	is	be	AUX
ijassa-775	253	4	known	know	VERB
ijassa-775	253	5	that	that	SCONJ
ijassa-775	253	6	µ∗	µ∗	VERB
ijassa-775	253	7	<	<	X
ijassa-775	253	8	−1	−1	NOUN
ijassa-775	253	9	,	,	PUNCT
ijassa-775	253	10	the	the	DET
ijassa-775	253	11	control	control	NOUN
ijassa-775	253	12	scheme	scheme	NOUN
ijassa-775	253	13	can	can	AUX
ijassa-775	253	14	be	be	AUX
ijassa-775	253	15	simplified	simplify	VERB
ijassa-775	253	16	,	,	PUNCT
ijassa-775	253	17	namely	namely	ADV
ijassa-775	253	18	:	:	PUNCT
ijassa-775	253	19	xn+1	xn+1	X
ijassa-775	253	20	=	=	SYM
ijassa-775	253	21	θ1f	θ1f	X
ijassa-775	253	22	(	(	PUNCT
ijassa-775	253	23	xn	xn	NUM
ijassa-775	253	24	)	)	PUNCT
ijassa-775	254	1	+	+	CCONJ
ijassa-775	254	2	θ2f	θ2f	X
ijassa-775	254	3	(	(	PUNCT
ijassa-775	254	4	t+1	t+1	PROPN
ijassa-775	254	5	)	)	PUNCT
ijassa-775	254	6	(	(	PUNCT
ijassa-775	254	7	xn	xn	X
ijassa-775	254	8	)	)	PUNCT
ijassa-775	254	9	,	,	PUNCT
ijassa-775	254	10	(	(	PUNCT
ijassa-775	254	11	4.5	4.5	NUM
ijassa-775	254	12	)	)	PUNCT
ijassa-775	254	13	where	where	SCONJ
ijassa-775	254	14	θ1	θ1	NOUN
ijassa-775	254	15	=	=	SYM
ijassa-775	254	16	|µ∗|	|µ∗|	NUM
ijassa-775	254	17	1	1	NUM
ijassa-775	254	18	+	+	NUM
ijassa-775	254	19	|µ∗|	|µ∗|	NUM
ijassa-775	254	20	,	,	PUNCT
ijassa-775	254	21	θ2	θ2	ADV
ijassa-775	254	22	=	=	PUNCT
ijassa-775	254	23	1	1	NUM
ijassa-775	254	24	1	1	NUM
ijassa-775	254	25	+	+	NUM
ijassa-775	254	26	|µ∗|	|µ∗|	NUM
ijassa-775	254	27	.	.	PUNCT
ijassa-775	255	1	copyright	copyright	NOUN
ijassa-775	255	2	c	c	ADP
ijassa-775	255	3	©	©	PROPN
ijassa-775	255	4	2020	2020	NUM
ijassa-775	255	5	assa	assa	NOUN
ijassa-775	255	6	.	.	PUNCT
ijassa-775	256	1	adv	adv	PROPN
ijassa-775	256	2	syst	syst	PROPN
ijassa-775	256	3	sci	sci	PROPN
ijassa-775	256	4	appl	appl	PROPN
ijassa-775	256	5	(	(	PUNCT
ijassa-775	256	6	2020	2020	NUM
ijassa-775	256	7	)	)	PUNCT
ijassa-775	256	8	34	34	NUM
ijassa-775	256	9	d.	d.	PROPN
ijassa-775	256	10	dmitrishin	dmitrishin	PROPN
ijassa-775	256	11	,	,	PUNCT
ijassa-775	256	12	e.	e.	PROPN
ijassa-775	256	13	iacob	iacob	PROPN
ijassa-775	256	14	,	,	PUNCT
ijassa-775	256	15	a.	a.	PROPN
ijassa-775	256	16	stokolos	stokolos	PROPN
ijassa-775	256	17	4.4	4.4	NUM
ijassa-775	256	18	.	.	PUNCT
ijassa-775	257	1	case	case	NOUN
ijassa-775	257	2	m	m	NOUN
ijassa-775	257	3	=	=	SYM
ijassa-775	258	1	d	d	X
ijassa-775	258	2	∪	∪	X
ijassa-775	258	3	{	{	PUNCT
ijassa-775	258	4	µ∗	µ∗	ADJ
ijassa-775	258	5	,	,	PUNCT
ijassa-775	258	6	µ∗	µ∗	PROPN
ijassa-775	258	7	}	}	PUNCT
ijassa-775	258	8	,	,	PUNCT
ijassa-775	258	9	|µ∗|	|µ∗|	X
ijassa-775	258	10	>	>	X
ijassa-775	258	11	1	1	NUM
ijassa-775	258	12	the	the	DET
ijassa-775	258	13	case	case	NOUN
ijassa-775	258	14	of	of	ADP
ijassa-775	258	15	general	general	ADJ
ijassa-775	258	16	localization	localization	NOUN
ijassa-775	258	17	of	of	ADP
ijassa-775	258	18	multipliers	multiplier	NOUN
ijassa-775	258	19	{	{	PUNCT
ijassa-775	258	20	µ1	µ1	PROPN
ijassa-775	258	21	,	,	PUNCT
ijassa-775	258	22	.	.	PUNCT
ijassa-775	258	23	.	.	PUNCT
ijassa-775	258	24	.	.	PUNCT
ijassa-775	259	1	,	,	PUNCT
ijassa-775	259	2	µm	µm	ADP
ijassa-775	259	3	}	}	PUNCT
ijassa-775	259	4	for	for	ADP
ijassa-775	259	5	the	the	DET
ijassa-775	259	6	system	system	NOUN
ijassa-775	259	7	(	(	PUNCT
ijassa-775	259	8	2.1	2.1	NUM
ijassa-775	259	9	)	)	PUNCT
ijassa-775	259	10	cycle	cycle	NOUN
ijassa-775	259	11	was	be	AUX
ijassa-775	259	12	considered	consider	VERB
ijassa-775	259	13	in	in	ADP
ijassa-775	259	14	[	[	X
ijassa-775	259	15	23	23	NUM
ijassa-775	259	16	]	]	PUNCT
ijassa-775	259	17	but	but	CCONJ
ijassa-775	259	18	only	only	ADV
ijassa-775	259	19	for	for	ADP
ijassa-775	259	20	t	t	NOUN
ijassa-775	260	1	=	=	SYM
ijassa-775	260	2	1	1	X
ijassa-775	260	3	.	.	PUNCT
ijassa-775	261	1	in	in	ADP
ijassa-775	261	2	that	that	DET
ijassa-775	261	3	case	case	NOUN
ijassa-775	261	4	,	,	PUNCT
ijassa-775	261	5	the	the	DET
ijassa-775	261	6	coefficients	coefficient	NOUN
ijassa-775	261	7	θ1	θ1	NOUN
ijassa-775	261	8	,	,	PUNCT
ijassa-775	261	9	.	.	PUNCT
ijassa-775	261	10	.	.	PUNCT
ijassa-775	261	11	.	.	PUNCT
ijassa-775	262	1	,	,	PUNCT
ijassa-775	262	2	θn	θn	NOUN
ijassa-775	262	3	were	be	AUX
ijassa-775	262	4	no	no	ADV
ijassa-775	262	5	longer	long	ADV
ijassa-775	262	6	scalars	scalar	NOUN
ijassa-775	262	7	but	but	CCONJ
ijassa-775	262	8	matrices	matrix	NOUN
ijassa-775	262	9	and	and	CCONJ
ijassa-775	262	10	,	,	PUNCT
ijassa-775	262	11	as	as	ADP
ijassa-775	262	12	before	before	ADV
ijassa-775	262	13	,	,	PUNCT
ijassa-775	262	14	were	be	AUX
ijassa-775	262	15	chosen	choose	VERB
ijassa-775	262	16	as	as	ADP
ijassa-775	262	17	θ1	θ1	NOUN
ijassa-775	262	18	=	=	PROPN
ijassa-775	263	1	i	i	PROPN
ijassa-775	263	2	,	,	PUNCT
ijassa-775	263	3	θ2	θ2	PROPN
ijassa-775	263	4	=	=	PUNCT
ijassa-775	263	5	.	.	PUNCT
ijassa-775	263	6	.	.	PUNCT
ijassa-775	263	7	.	.	PUNCT
ijassa-775	264	1	=	=	NOUN
ijassa-775	264	2	θn−2	θn−2	ADV
ijassa-775	264	3	=	=	SYM
ijassa-775	264	4	0	0	NUM
ijassa-775	264	5	,	,	PUNCT
ijassa-775	264	6	θn−1	θn−1	ADJ
ijassa-775	264	7	=	=	SYM
ijassa-775	264	8	−θn	−θn	NOUN
ijassa-775	264	9	=	=	SYM
ijassa-775	264	10	ε	ε	PROPN
ijassa-775	264	11	,	,	PUNCT
ijassa-775	264	12	where	where	SCONJ
ijassa-775	264	13	i	i	PRON
ijassa-775	264	14	is	be	AUX
ijassa-775	264	15	identity	identity	NOUN
ijassa-775	264	16	matrix	matrix	NOUN
ijassa-775	264	17	,	,	PUNCT
ijassa-775	264	18	0	0	NUM
ijassa-775	264	19	is	be	AUX
ijassa-775	264	20	zero	zero	NUM
ijassa-775	264	21	matrix	matrix	NOUN
ijassa-775	264	22	,	,	PUNCT
ijassa-775	264	23	ε	ε	PROPN
ijassa-775	264	24	=	=	SYM
ijassa-775	264	25	sλs−1	sλs−1	PROPN
ijassa-775	264	26	,	,	PUNCT
ijassa-775	264	27	λ	λ	NOUN
ijassa-775	264	28	=	=	SYM
ijassa-775	264	29	diag	diag	X
ijassa-775	264	30	{	{	PUNCT
ijassa-775	264	31	ε1	ε1	PROPN
ijassa-775	264	32	,	,	PUNCT
ijassa-775	264	33	.	.	PUNCT
ijassa-775	264	34	.	.	PUNCT
ijassa-775	264	35	.	.	PUNCT
ijassa-775	265	1	,	,	PUNCT
ijassa-775	265	2	εm	εm	NOUN
ijassa-775	265	3	}	}	PUNCT
ijassa-775	265	4	,	,	PUNCT
ijassa-775	265	5	εj	εj	NOUN
ijassa-775	265	6	=	=	SYM
ijassa-775	265	7	1	1	NUM
ijassa-775	265	8	+	+	CCONJ
ijassa-775	265	9	eıϕ	eıϕ	ADJ
ijassa-775	265	10	(	(	PUNCT
ijassa-775	265	11	ρ/	ρ/	X
ijassa-775	265	12	|µj|	|µj|	PROPN
ijassa-775	265	13	)	)	PUNCT
ijassa-775	265	14	(	(	PUNCT
ijassa-775	265	15	µj	µj	PROPN
ijassa-775	265	16	)	)	PUNCT
ijassa-775	265	17	n−2	n−2	PROPN
ijassa-775	265	18	(	(	PUNCT
ijassa-775	265	19	µj	µj	PROPN
ijassa-775	265	20	−	−	PROPN
ijassa-775	265	21	1	1	NUM
ijassa-775	265	22	)	)	PUNCT
ijassa-775	265	23	,	,	PUNCT
ijassa-775	265	24	if	if	SCONJ
ijassa-775	265	25	|µj|	|µj|	X
ijassa-775	265	26	<	<	X
ijassa-775	265	27	1	1	NUM
ijassa-775	265	28	,	,	PUNCT
ijassa-775	265	29	and	and	CCONJ
ijassa-775	265	30	εj	εj	VERB
ijassa-775	265	31	=	=	ADJ
ijassa-775	265	32	0	0	NUM
ijassa-775	265	33	,	,	PUNCT
ijassa-775	265	34	if	if	SCONJ
ijassa-775	265	35	|µj|	|µj|	X
ijassa-775	265	36	>	>	X
ijassa-775	265	37	1	1	NUM
ijassa-775	265	38	,	,	PUNCT
ijassa-775	265	39	and	and	CCONJ
ijassa-775	265	40	0	0	NUM
ijassa-775	265	41	<	<	X
ijassa-775	265	42	ρ	ρ	X
ijassa-775	265	43	<	<	X
ijassa-775	265	44	1	1	NUM
ijassa-775	265	45	,	,	PUNCT
ijassa-775	265	46	ϕ	ϕ	PROPN
ijassa-775	265	47	∈	∈	PROPN
ijassa-775	265	48	{	{	PUNCT
ijassa-775	265	49	0	0	NUM
ijassa-775	265	50	,	,	PUNCT
ijassa-775	265	51	π	π	NOUN
ijassa-775	265	52	}	}	PUNCT
ijassa-775	265	53	if	if	SCONJ
ijassa-775	265	54	µj	µj	PROPN
ijassa-775	265	55	as	as	ADP
ijassa-775	265	56	a	a	DET
ijassa-775	265	57	real	real	ADJ
ijassa-775	265	58	number	number	NOUN
ijassa-775	265	59	.	.	PUNCT
ijassa-775	266	1	the	the	DET
ijassa-775	266	2	matrix	matrix	NOUN
ijassa-775	266	3	s	s	VERB
ijassa-775	266	4	consists	consist	NOUN
ijassa-775	266	5	of	of	ADP
ijassa-775	266	6	the	the	DET
ijassa-775	266	7	eigenvectors	eigenvector	NOUN
ijassa-775	266	8	of	of	ADP
ijassa-775	266	9	the	the	DET
ijassa-775	266	10	jacobi	jacobi	PROPN
ijassa-775	266	11	matrix	matrix	NOUN
ijassa-775	266	12	j	j	PROPN
ijassa-775	266	13	for	for	ADP
ijassa-775	266	14	equilibrium	equilibrium	NOUN
ijassa-775	266	15	point	point	NOUN
ijassa-775	266	16	.	.	PUNCT
ijassa-775	267	1	thus	thus	ADV
ijassa-775	267	2	,	,	PUNCT
ijassa-775	267	3	to	to	PART
ijassa-775	267	4	apply	apply	VERB
ijassa-775	267	5	the	the	DET
ijassa-775	267	6	stabilization	stabilization	NOUN
ijassa-775	267	7	method	method	NOUN
ijassa-775	267	8	,	,	PUNCT
ijassa-775	267	9	it	it	PRON
ijassa-775	267	10	is	be	AUX
ijassa-775	267	11	necessary	necessary	ADJ
ijassa-775	267	12	to	to	PART
ijassa-775	267	13	know	know	VERB
ijassa-775	267	14	not	not	PART
ijassa-775	267	15	only	only	ADV
ijassa-775	267	16	all	all	DET
ijassa-775	267	17	the	the	DET
ijassa-775	267	18	multipliers	multiplier	NOUN
ijassa-775	267	19	of	of	ADP
ijassa-775	267	20	the	the	DET
ijassa-775	267	21	equilibrium	equilibrium	NOUN
ijassa-775	267	22	,	,	PUNCT
ijassa-775	267	23	but	but	CCONJ
ijassa-775	267	24	also	also	ADV
ijassa-775	267	25	the	the	DET
ijassa-775	267	26	jacobi	jacobi	PROPN
ijassa-775	267	27	matrix	matrix	NOUN
ijassa-775	267	28	itself	itself	PRON
ijassa-775	267	29	.	.	PUNCT
ijassa-775	268	1	that	that	PRON
ijassa-775	268	2	is	be	AUX
ijassa-775	268	3	impossible	impossible	ADJ
ijassa-775	268	4	when	when	SCONJ
ijassa-775	268	5	the	the	DET
ijassa-775	268	6	equilibrium	equilibrium	NOUN
ijassa-775	268	7	is	be	AUX
ijassa-775	268	8	not	not	PART
ijassa-775	268	9	known	know	VERB
ijassa-775	268	10	.	.	PUNCT
ijassa-775	269	1	now	now	ADV
ijassa-775	269	2	,	,	PUNCT
ijassa-775	269	3	let	let	VERB
ijassa-775	269	4	us	we	PRON
ijassa-775	269	5	we	we	PRON
ijassa-775	269	6	apply	apply	VERB
ijassa-775	269	7	the	the	DET
ijassa-775	269	8	scheme	scheme	NOUN
ijassa-775	269	9	(	(	PUNCT
ijassa-775	269	10	2.2	2.2	NUM
ijassa-775	269	11	)	)	PUNCT
ijassa-775	269	12	.	.	PUNCT
ijassa-775	270	1	let	let	VERB
ijassa-775	270	2	µ∗	µ∗	VERB
ijassa-775	270	3	=	=	SYM
ijassa-775	270	4	ρeıϕ.	ρeıϕ.	NOUN
ijassa-775	270	5	then	then	ADV
ijassa-775	270	6	r(µ	r(µ	NOUN
ijassa-775	270	7	)	)	PUNCT
ijassa-775	270	8	=	=	PUNCT
ijassa-775	270	9	(	(	PUNCT
ijassa-775	270	10	µ−	µ−	PROPN
ijassa-775	270	11	µ∗	µ∗	PROPN
ijassa-775	270	12	)	)	PUNCT
ijassa-775	270	13	(	(	PUNCT
ijassa-775	270	14	µ−	µ−	PROPN
ijassa-775	270	15	µ∗	µ∗	PROPN
ijassa-775	270	16	)	)	PUNCT
ijassa-775	270	17	(	(	PUNCT
ijassa-775	270	18	1−	1−	NUM
ijassa-775	270	19	µ∗	µ∗	PROPN
ijassa-775	270	20	)	)	PUNCT
ijassa-775	270	21	(	(	PUNCT
ijassa-775	270	22	1−	1−	NUM
ijassa-775	270	23	µ∗	µ∗	ADJ
ijassa-775	270	24	)	)	PUNCT
ijassa-775	271	1	=	=	SYM
ijassa-775	271	2	ρ2	ρ2	NOUN
ijassa-775	271	3	ρ2	ρ2	NOUN
ijassa-775	271	4	−	−	PROPN
ijassa-775	271	5	2ρ	2ρ	NOUN
ijassa-775	271	6	cosϕ+	cosϕ+	NOUN
ijassa-775	271	7	1	1	NUM
ijassa-775	272	1	+	+	CCONJ
ijassa-775	272	2	−2ρ	−2ρ	NOUN
ijassa-775	272	3	cosϕ	cosϕ	ADJ
ijassa-775	272	4	ρ2	ρ2	NOUN
ijassa-775	272	5	−	−	PROPN
ijassa-775	273	1	2ρ	2ρ	NOUN
ijassa-775	273	2	cosϕ+	cosϕ+	NOUN
ijassa-775	273	3	1	1	NUM
ijassa-775	273	4	µ+	µ+	SYM
ijassa-775	273	5	1	1	NUM
ijassa-775	273	6	ρ2	ρ2	NOUN
ijassa-775	273	7	−	−	NOUN
ijassa-775	273	8	2ρ	2ρ	NOUN
ijassa-775	273	9	cosϕ+	cosϕ+	NOUN
ijassa-775	273	10	1	1	NUM
ijassa-775	273	11	µ2	µ2	NOUN
ijassa-775	273	12	.	.	PUNCT
ijassa-775	274	1	if	if	SCONJ
ijassa-775	274	2	the	the	DET
ijassa-775	274	3	complex	complex	ADJ
ijassa-775	274	4	number	number	NOUN
ijassa-775	274	5	µ∗	µ∗	NOUN
ijassa-775	274	6	lies	lie	VERB
ijassa-775	274	7	in	in	ADP
ijassa-775	274	8	the	the	DET
ijassa-775	274	9	left	left	ADJ
ijassa-775	274	10	half	half	ADJ
ijassa-775	274	11	-	-	PUNCT
ijassa-775	274	12	plane	plane	NOUN
ijassa-775	274	13	,	,	PUNCT
ijassa-775	274	14	then	then	ADV
ijassa-775	274	15	the	the	DET
ijassa-775	274	16	coefficients	coefficient	NOUN
ijassa-775	274	17	of	of	ADP
ijassa-775	274	18	polynomial	polynomial	ADJ
ijassa-775	274	19	r(µ	r(µ	NOUN
ijassa-775	274	20	)	)	PUNCT
ijassa-775	274	21	are	be	AUX
ijassa-775	274	22	positive	positive	ADJ
ijassa-775	274	23	,	,	PUNCT
ijassa-775	274	24	so	so	SCONJ
ijassa-775	274	25	∣∣∣µ	∣∣∣µ	X
ijassa-775	275	1	[	[	X
ijassa-775	275	2	r(µ)]t	r(µ)]t	X
ijassa-775	275	3	∣∣∣	∣∣∣	NOUN
ijassa-775	275	4	<	<	X
ijassa-775	275	5	|µ|1+t	|µ|1+t	NOUN
ijassa-775	275	6	with	with	ADP
ijassa-775	275	7	|µ|	|µ|	PROPN
ijassa-775	275	8	<	<	X
ijassa-775	275	9	1	1	NUM
ijassa-775	275	10	.	.	PUNCT
ijassa-775	275	11	therefore	therefore	ADV
ijassa-775	275	12	,	,	PUNCT
ijassa-775	275	13	each	each	DET
ijassa-775	275	14	multiplier	multipli	ADJ
ijassa-775	275	15	of	of	ADP
ijassa-775	275	16	system	system	NOUN
ijassa-775	275	17	(	(	PUNCT
ijassa-775	275	18	2.2	2.2	NUM
ijassa-775	275	19	)	)	PUNCT
ijassa-775	275	20	cycle	cycle	NOUN
ijassa-775	275	21	lying	lie	VERB
ijassa-775	275	22	in	in	ADP
ijassa-775	275	23	the	the	DET
ijassa-775	275	24	central	central	ADJ
ijassa-775	275	25	unit	unit	NOUN
ijassa-775	275	26	circle	circle	NOUN
ijassa-775	275	27	turns	turn	VERB
ijassa-775	275	28	out	out	ADP
ijassa-775	275	29	to	to	PART
ijassa-775	275	30	be	be	AUX
ijassa-775	275	31	in	in	ADP
ijassa-775	275	32	absolute	absolute	ADJ
ijassa-775	275	33	value	value	NOUN
ijassa-775	275	34	less	less	ADV
ijassa-775	275	35	then	then	ADV
ijassa-775	275	36	the	the	DET
ijassa-775	275	37	multiplier	multipli	ADJ
ijassa-775	275	38	of	of	ADP
ijassa-775	275	39	the	the	DET
ijassa-775	275	40	corresponding	corresponding	ADJ
ijassa-775	275	41	cycle	cycle	NOUN
ijassa-775	275	42	of	of	ADP
ijassa-775	275	43	the	the	DET
ijassa-775	275	44	system	system	NOUN
ijassa-775	275	45	(	(	PUNCT
ijassa-775	275	46	2.1	2.1	NUM
ijassa-775	275	47	)	)	PUNCT
ijassa-775	275	48	.	.	PUNCT
ijassa-775	276	1	also	also	ADV
ijassa-775	276	2	,	,	PUNCT
ijassa-775	276	3	the	the	DET
ijassa-775	276	4	multipliers	multiplier	NOUN
ijassa-775	276	5	corresponding	correspond	VERB
ijassa-775	276	6	to	to	PART
ijassa-775	276	7	µ∗	µ∗	VERB
ijassa-775	276	8	and	and	CCONJ
ijassa-775	276	9	µ∗	µ∗	VERB
ijassa-775	276	10	change	change	NOUN
ijassa-775	276	11	to	to	ADP
ijassa-775	276	12	zero	zero	NUM
ijassa-775	276	13	.	.	PUNCT
ijassa-775	277	1	if	if	SCONJ
ijassa-775	277	2	the	the	DET
ijassa-775	277	3	multipliers	multiplier	NOUN
ijassa-775	277	4	µ∗	µ∗	VERB
ijassa-775	277	5	and	and	CCONJ
ijassa-775	277	6	µ∗	µ∗	NOUN
ijassa-775	277	7	are	be	AUX
ijassa-775	277	8	not	not	PART
ijassa-775	277	9	exactly	exactly	ADV
ijassa-775	277	10	known	know	VERB
ijassa-775	277	11	,	,	PUNCT
ijassa-775	277	12	but	but	CCONJ
ijassa-775	277	13	they	they	PRON
ijassa-775	277	14	can	can	AUX
ijassa-775	277	15	be	be	AUX
ijassa-775	277	16	well	well	ADV
ijassa-775	277	17	estimated	estimate	VERB
ijassa-775	277	18	,	,	PUNCT
ijassa-775	277	19	then	then	ADV
ijassa-775	277	20	for	for	ADP
ijassa-775	277	21	the	the	DET
ijassa-775	277	22	coefficients	coefficient	NOUN
ijassa-775	277	23	θ1	θ1	PROPN
ijassa-775	277	24	,	,	PUNCT
ijassa-775	277	25	θ2	θ2	PROPN
ijassa-775	277	26	,	,	PUNCT
ijassa-775	277	27	θ3	θ3	PROPN
ijassa-775	277	28	,	,	PUNCT
ijassa-775	277	29	although	although	SCONJ
ijassa-775	277	30	different	different	ADJ
ijassa-775	277	31	from	from	ADP
ijassa-775	277	32	the	the	DET
ijassa-775	277	33	calculated	calculate	VERB
ijassa-775	277	34	ones	one	NOUN
ijassa-775	277	35	,	,	PUNCT
ijassa-775	277	36	the	the	DET
ijassa-775	277	37	values	value	NOUN
ijassa-775	277	38	of	of	ADP
ijassa-775	277	39	the	the	DET
ijassa-775	277	40	polynomial	polynomial	NOUN
ijassa-775	277	41	with	with	ADP
ijassa-775	277	42	these	these	DET
ijassa-775	277	43	coefficients	coefficient	NOUN
ijassa-775	277	44	at	at	ADP
ijassa-775	277	45	points	point	NOUN
ijassa-775	277	46	µ∗	µ∗	PROPN
ijassa-775	277	47	and	and	CCONJ
ijassa-775	277	48	µ∗	µ∗	NOUN
ijassa-775	277	49	will	will	AUX
ijassa-775	277	50	not	not	PART
ijassa-775	277	51	exceed	exceed	VERB
ijassa-775	277	52	1	1	NUM
ijassa-775	277	53	in	in	ADP
ijassa-775	277	54	absolute	absolute	ADJ
ijassa-775	277	55	value	value	NOUN
ijassa-775	277	56	,	,	PUNCT
ijassa-775	277	57	as	as	SCONJ
ijassa-775	277	58	follows	follow	VERB
ijassa-775	277	59	from	from	ADP
ijassa-775	277	60	the	the	DET
ijassa-775	277	61	rouche	rouche	PROPN
ijassa-775	277	62	theorem	theorem	PROPN
ijassa-775	277	63	.	.	PUNCT
ijassa-775	278	1	the	the	DET
ijassa-775	278	2	desired	desire	VERB
ijassa-775	278	3	control	control	NOUN
ijassa-775	278	4	system	system	NOUN
ijassa-775	278	5	is	be	AUX
ijassa-775	278	6	xn+1	xn+1	NOUN
ijassa-775	278	7	=	=	SYM
ijassa-775	278	8	θ1f	θ1f	X
ijassa-775	278	9	(	(	PUNCT
ijassa-775	278	10	xn	xn	NUM
ijassa-775	278	11	)	)	PUNCT
ijassa-775	279	1	+	+	CCONJ
ijassa-775	279	2	θ2f	θ2f	X
ijassa-775	279	3	(	(	PUNCT
ijassa-775	279	4	t+1	t+1	PROPN
ijassa-775	279	5	)	)	PUNCT
ijassa-775	279	6	(	(	PUNCT
ijassa-775	279	7	xn	xn	X
ijassa-775	279	8	)	)	PUNCT
ijassa-775	279	9	+	+	CCONJ
ijassa-775	279	10	θ3f	θ3f	PROPN
ijassa-775	279	11	(	(	PUNCT
ijassa-775	279	12	2t+1	2t+1	PROPN
ijassa-775	279	13	)	)	PUNCT
ijassa-775	279	14	(	(	PUNCT
ijassa-775	279	15	xn	xn	X
ijassa-775	279	16	)	)	PUNCT
ijassa-775	279	17	,	,	PUNCT
ijassa-775	279	18	where	where	SCONJ
ijassa-775	279	19	θ1	θ1	NOUN
ijassa-775	279	20	=	=	SYM
ijassa-775	279	21	ρ2	ρ2	PROPN
ijassa-775	279	22	ρ2	ρ2	NOUN
ijassa-775	279	23	−	−	PROPN
ijassa-775	279	24	2ρ	2ρ	NOUN
ijassa-775	279	25	cosϕ+	cosϕ+	NOUN
ijassa-775	279	26	1	1	NUM
ijassa-775	279	27	,	,	PUNCT
ijassa-775	279	28	θ2	θ2	ADV
ijassa-775	279	29	=	=	PUNCT
ijassa-775	279	30	−2ρ	−2ρ	NOUN
ijassa-775	279	31	cosϕ	cosϕ	NUM
ijassa-775	279	32	ρ2	ρ2	NOUN
ijassa-775	279	33	−	−	PROPN
ijassa-775	279	34	2ρ	2ρ	NOUN
ijassa-775	279	35	cosϕ+	cosϕ+	NOUN
ijassa-775	279	36	1	1	NUM
ijassa-775	279	37	,	,	PUNCT
ijassa-775	279	38	θ3	θ3	NOUN
ijassa-775	279	39	=	=	SYM
ijassa-775	279	40	1	1	NUM
ijassa-775	279	41	ρ2	ρ2	NOUN
ijassa-775	279	42	−	−	PROPN
ijassa-775	279	43	2ρ	2ρ	NOUN
ijassa-775	279	44	cosϕ+	cosϕ+	NOUN
ijassa-775	279	45	1	1	NUM
ijassa-775	279	46	.	.	PUNCT
ijassa-775	279	47	4.5	4.5	NUM
ijassa-775	279	48	.	.	PUNCT
ijassa-775	280	1	case	case	NOUN
ijassa-775	280	2	t	t	NOUN
ijassa-775	280	3	=	=	SYM
ijassa-775	280	4	1	1	NUM
ijassa-775	280	5	,	,	PUNCT
ijassa-775	280	6	m	m	VERB
ijassa-775	280	7	=	=	PUNCT
ijassa-775	280	8	b−µ∗	b−µ∗	NOUN
ijassa-775	280	9	,	,	PUNCT
ijassa-775	280	10	µ∗c	µ∗c	NOUN
ijassa-775	280	11	,	,	PUNCT
ijassa-775	280	12	m	m	NOUN
ijassa-775	280	13	=	=	PUNCT
ijassa-775	280	14	b−µ∗	b−µ∗	ADJ
ijassa-775	280	15	,	,	PUNCT
ijassa-775	280	16	1c	1c	NOUN
ijassa-775	280	17	suppose	suppose	VERB
ijassa-775	280	18	m	m	VERB
ijassa-775	280	19	=	=	PUNCT
ijassa-775	280	20	b−µ∗	b−µ∗	NOUN
ijassa-775	280	21	,	,	PUNCT
ijassa-775	280	22	µ∗c	µ∗c	NUM
ijassa-775	280	23	.	.	PROPN
ijassa-775	280	24	from	from	ADP
ijassa-775	280	25	theorem	theorem	ADJ
ijassa-775	280	26	4.1	4.1	NUM
ijassa-775	280	27	it	it	PRON
ijassa-775	280	28	follows	follow	VERB
ijassa-775	280	29	that	that	SCONJ
ijassa-775	280	30	in	in	ADP
ijassa-775	280	31	order	order	NOUN
ijassa-775	280	32	to	to	PART
ijassa-775	280	33	stabilize	stabilize	VERB
ijassa-775	280	34	the	the	DET
ijassa-775	280	35	equilibrium	equilibrium	NOUN
ijassa-775	280	36	,	,	PUNCT
ijassa-775	280	37	it	it	PRON
ijassa-775	280	38	would	would	AUX
ijassa-775	280	39	be	be	AUX
ijassa-775	280	40	necessary	necessary	ADJ
ijassa-775	280	41	to	to	PART
ijassa-775	280	42	construct	construct	VERB
ijassa-775	280	43	a	a	DET
ijassa-775	280	44	polynomial	polynomial	ADJ
ijassa-775	280	45	µr(µ	µr(µ	NOUN
ijassa-775	280	46	)	)	PUNCT
ijassa-775	280	47	,	,	PUNCT
ijassa-775	280	48	so	so	SCONJ
ijassa-775	280	49	that	that	SCONJ
ijassa-775	280	50	r(1	r(1	PROPN
ijassa-775	280	51	)	)	PUNCT
ijassa-775	280	52	=	=	SYM
ijassa-775	280	53	1	1	NUM
ijassa-775	280	54	and	and	CCONJ
ijassa-775	280	55	|µr(µ)|	|µr(µ)|	PROPN
ijassa-775	280	56	≤	≤	NUM
ijassa-775	280	57	1	1	NUM
ijassa-775	280	58	for	for	SCONJ
ijassa-775	280	59	all	all	DET
ijassa-775	280	60	|µ|	|µ|	PROPN
ijassa-775	280	61	<	<	X
ijassa-775	280	62	µ∗.	µ∗.	X
ijassa-775	280	63	theorem	theorem	VERB
ijassa-775	280	64	4.3	4.3	NUM
ijassa-775	280	65	:	:	PUNCT
ijassa-775	280	66	let	let	VERB
ijassa-775	280	67	f	f	PROPN
ijassa-775	280	68	∈	∈	PROPN
ijassa-775	280	69	c1	c1	PROPN
ijassa-775	280	70	and	and	CCONJ
ijassa-775	280	71	the	the	DET
ijassa-775	280	72	system	system	NOUN
ijassa-775	280	73	(	(	PUNCT
ijassa-775	280	74	2.1	2.1	NUM
ijassa-775	280	75	)	)	PUNCT
ijassa-775	280	76	has	have	VERB
ijassa-775	280	77	unstable	unstable	ADJ
ijassa-775	280	78	equilibrium	equilibrium	NOUN
ijassa-775	280	79	with	with	ADP
ijassa-775	280	80	multipliers	multiplier	NOUN
ijassa-775	280	81	{	{	PUNCT
ijassa-775	280	82	µ1	µ1	PROPN
ijassa-775	280	83	,	,	PUNCT
ijassa-775	280	84	.	.	PUNCT
ijassa-775	280	85	.	.	PUNCT
ijassa-775	281	1	.	.	PUNCT
ijassa-775	282	1	,	,	PUNCT
ijassa-775	282	2	µm	µm	ADP
ijassa-775	282	3	}	}	PUNCT
ijassa-775	282	4	⊂	⊂	PROPN
ijassa-775	283	1	[	[	X
ijassa-775	283	2	−µ∗	−µ∗	PROPN
ijassa-775	283	3	,	,	PUNCT
ijassa-775	283	4	µ∗	µ∗	PROPN
ijassa-775	283	5	]	]	PUNCT
ijassa-775	283	6	.	.	PUNCT
ijassa-775	284	1	let	let	VERB
ijassa-775	284	2	the	the	DET
ijassa-775	284	3	value	value	NOUN
ijassa-775	284	4	n	n	AUX
ijassa-775	284	5	be	be	AUX
ijassa-775	284	6	odd	odd	ADJ
ijassa-775	284	7	and	and	CCONJ
ijassa-775	284	8	be	be	AUX
ijassa-775	284	9	chosen	choose	VERB
ijassa-775	284	10	from	from	ADP
ijassa-775	284	11	the	the	DET
ijassa-775	284	12	condition	condition	NOUN
ijassa-775	284	13	csc	csc	PROPN
ijassa-775	284	14	π	π	PROPN
ijassa-775	284	15	2n	2n	X
ijassa-775	284	16	>	>	X
ijassa-775	284	17	µ∗	µ∗	PROPN
ijassa-775	284	18	,	,	PUNCT
ijassa-775	284	19	and	and	CCONJ
ijassa-775	284	20	the	the	DET
ijassa-775	284	21	copyright	copyright	NOUN
ijassa-775	284	22	c	c	ADP
ijassa-775	284	23	©	©	PROPN
ijassa-775	284	24	2020	2020	NUM
ijassa-775	284	25	assa	assa	NOUN
ijassa-775	284	26	.	.	PUNCT
ijassa-775	285	1	adv	adv	PROPN
ijassa-775	285	2	syst	syst	PROPN
ijassa-775	285	3	sci	sci	PROPN
ijassa-775	285	4	appl	appl	PROPN
ijassa-775	285	5	(	(	PUNCT
ijassa-775	285	6	2020	2020	NUM
ijassa-775	285	7	)	)	PUNCT
ijassa-775	285	8	average	average	ADJ
ijassa-775	285	9	predictive	predictive	ADJ
ijassa-775	285	10	control	control	NOUN
ijassa-775	285	11	35	35	NUM
ijassa-775	285	12	coefficients	coefficient	NOUN
ijassa-775	285	13	θ1	θ1	NOUN
ijassa-775	285	14	,	,	PUNCT
ijassa-775	285	15	.	.	PUNCT
ijassa-775	285	16	.	.	PUNCT
ijassa-775	285	17	.	.	PUNCT
ijassa-775	286	1	,	,	PUNCT
ijassa-775	286	2	θn	θn	ADP
ijassa-775	286	3	from	from	ADP
ijassa-775	286	4	the	the	DET
ijassa-775	286	5	condition	condition	NOUN
ijassa-775	286	6	µr(µ	µr(µ	NOUN
ijassa-775	286	7	)	)	PUNCT
ijassa-775	286	8	=	=	SYM
ijassa-775	286	9	µ	µ	X
ijassa-775	286	10	n∑	n∑	NOUN
ijassa-775	286	11	j=1	j=1	NOUN
ijassa-775	286	12	θjµ	θjµ	PROPN
ijassa-775	287	1	j−1	j−1	PROPN
ijassa-775	287	2	=	=	SYM
ijassa-775	287	3	(	(	PUNCT
ijassa-775	287	4	−1	−1	NOUN
ijassa-775	287	5	)	)	PUNCT
ijassa-775	287	6	n−1	n−1	PROPN
ijassa-775	287	7	2	2	NUM
ijassa-775	287	8	tn	tn	NOUN
ijassa-775	287	9	(	(	PUNCT
ijassa-775	287	10	µ	µ	X
ijassa-775	287	11	sin	sin	NOUN
ijassa-775	287	12	π	π	NOUN
ijassa-775	287	13	2n	2n	NUM
ijassa-775	287	14	)	)	PUNCT
ijassa-775	287	15	,	,	PUNCT
ijassa-775	287	16	where	where	SCONJ
ijassa-775	287	17	tn(x	tn(x	PUNCT
ijassa-775	287	18	)	)	PUNCT
ijassa-775	287	19	is	be	AUX
ijassa-775	287	20	the	the	DET
ijassa-775	287	21	first	first	ADJ
ijassa-775	287	22	kind	kind	NOUN
ijassa-775	287	23	chebyshev	chebyshev	NOUN
ijassa-775	287	24	polynomial	polynomial	NOUN
ijassa-775	287	25	of	of	ADP
ijassa-775	287	26	odd	odd	ADJ
ijassa-775	287	27	order	order	NOUN
ijassa-775	287	28	n	n	NOUN
ijassa-775	287	29	.	.	PUNCT
ijassa-775	288	1	then	then	ADV
ijassa-775	288	2	this	this	DET
ijassa-775	288	3	equilibrium	equilibrium	NOUN
ijassa-775	288	4	will	will	AUX
ijassa-775	288	5	be	be	AUX
ijassa-775	288	6	a	a	DET
ijassa-775	288	7	locally	locally	ADV
ijassa-775	288	8	asymptotically	asymptotically	ADV
ijassa-775	288	9	stable	stable	ADJ
ijassa-775	288	10	equilibrium	equilibrium	NOUN
ijassa-775	288	11	of	of	ADP
ijassa-775	288	12	system	system	NOUN
ijassa-775	288	13	(	(	PUNCT
ijassa-775	288	14	2.2	2.2	NUM
ijassa-775	288	15	)	)	PUNCT
ijassa-775	288	16	(	(	PUNCT
ijassa-775	288	17	modulo	modulo	VERB
ijassa-775	288	18	a	a	DET
ijassa-775	288	19	finite	finite	ADJ
ijassa-775	288	20	number	number	NOUN
ijassa-775	288	21	of	of	ADP
ijassa-775	288	22	cases	case	NOUN
ijassa-775	288	23	when	when	SCONJ
ijassa-775	288	24	µj	µj	PROPN
ijassa-775	288	25	=	=	SYM
ijassa-775	288	26	cos	cos	PROPN
ijassa-775	288	27	πk	πk	PROPN
ijassa-775	288	28	/	/	SYM
ijassa-775	288	29	n	n	PRON
ijassa-775	288	30	sinπ/2n	sinπ/2n	NOUN
ijassa-775	288	31	for	for	ADP
ijassa-775	288	32	some	some	DET
ijassa-775	288	33	k	k	NOUN
ijassa-775	288	34	=	=	SYM
ijassa-775	288	35	1	1	NUM
ijassa-775	288	36	,	,	PUNCT
ijassa-775	288	37	.	.	PUNCT
ijassa-775	288	38	.	.	PUNCT
ijassa-775	289	1	.	.	PUNCT
ijassa-775	290	1	,	,	PUNCT
ijassa-775	291	1	n	n	CCONJ
ijassa-775	291	2	−	−	PROPN
ijassa-775	291	3	1	1	NUM
ijassa-775	291	4	)	)	PUNCT
ijassa-775	291	5	.	.	PUNCT
ijassa-775	292	1	the	the	DET
ijassa-775	292	2	proof	proof	NOUN
ijassa-775	292	3	follows	follow	VERB
ijassa-775	292	4	from	from	ADP
ijassa-775	292	5	the	the	DET
ijassa-775	292	6	properties	property	NOUN
ijassa-775	292	7	of	of	ADP
ijassa-775	292	8	the	the	DET
ijassa-775	292	9	first	first	ADJ
ijassa-775	292	10	kind	kind	NOUN
ijassa-775	292	11	chebyshev	chebyshev	NOUN
ijassa-775	292	12	polynomials	polynomial	NOUN
ijassa-775	292	13	:	:	PUNCT
ijassa-775	292	14	|µr(µ)|	|µr(µ)|	PROPN
ijassa-775	292	15	≤	≤	NUM
ijassa-775	292	16	1	1	NUM
ijassa-775	292	17	at	at	ADP
ijassa-775	292	18	∣∣∣µ	∣∣∣µ	NOUN
ijassa-775	292	19	sin	sin	NOUN
ijassa-775	292	20	π	π	X
ijassa-775	292	21	2n	2n	NUM
ijassa-775	292	22	∣∣∣	∣∣∣	ADJ
ijassa-775	292	23	≤	≤	NUM
ijassa-775	292	24	1	1	NUM
ijassa-775	292	25	,	,	PUNCT
ijassa-775	292	26	r(1	r(1	PROPN
ijassa-775	292	27	)	)	PUNCT
ijassa-775	292	28	=	=	PUNCT
ijassa-775	293	1	1.note	1.note	NUM
ijassa-775	293	2	that	that	PRON
ijassa-775	293	3	µ∗	µ∗	VERB
ijassa-775	293	4	→∞	→∞	PROPN
ijassa-775	293	5	(	(	PUNCT
ijassa-775	293	6	n	n	X
ijassa-775	293	7	→∞	→∞	NOUN
ijassa-775	293	8	)	)	PUNCT
ijassa-775	293	9	with	with	ADP
ijassa-775	293	10	asymptotics	asymptotic	NOUN
ijassa-775	293	11	2	2	NUM
ijassa-775	293	12	π	π	NOUN
ijassa-775	293	13	n	n	NOUN
ijassa-775	293	14	.	.	PUNCT
ijassa-775	294	1	now	now	ADV
ijassa-775	294	2	we	we	PRON
ijassa-775	294	3	will	will	AUX
ijassa-775	294	4	consider	consider	VERB
ijassa-775	294	5	the	the	DET
ijassa-775	294	6	case	case	NOUN
ijassa-775	294	7	of	of	ADP
ijassa-775	294	8	m	m	NOUN
ijassa-775	294	9	=	=	PUNCT
ijassa-775	294	10	b−µ∗	b−µ∗	ADJ
ijassa-775	294	11	,	,	PUNCT
ijassa-775	294	12	1c	1c	X
ijassa-775	294	13	.	.	PUNCT
ijassa-775	295	1	theorem	theorem	VERB
ijassa-775	295	2	4.4	4.4	NUM
ijassa-775	295	3	:	:	PUNCT
ijassa-775	295	4	let	let	VERB
ijassa-775	295	5	f	f	PROPN
ijassa-775	295	6	∈	∈	PROPN
ijassa-775	295	7	c1	c1	PROPN
ijassa-775	295	8	and	and	CCONJ
ijassa-775	295	9	the	the	DET
ijassa-775	295	10	system	system	NOUN
ijassa-775	295	11	(	(	PUNCT
ijassa-775	295	12	2.1	2.1	NUM
ijassa-775	295	13	)	)	PUNCT
ijassa-775	295	14	has	have	VERB
ijassa-775	295	15	unstable	unstable	ADJ
ijassa-775	295	16	equilibrium	equilibrium	NOUN
ijassa-775	295	17	with	with	ADP
ijassa-775	295	18	multipliers	multiplier	NOUN
ijassa-775	295	19	{	{	PUNCT
ijassa-775	295	20	µ1	µ1	PROPN
ijassa-775	295	21	,	,	PUNCT
ijassa-775	295	22	.	.	PUNCT
ijassa-775	295	23	.	.	PUNCT
ijassa-775	296	1	.	.	PUNCT
ijassa-775	297	1	,	,	PUNCT
ijassa-775	297	2	µm	µm	ADP
ijassa-775	297	3	}	}	PUNCT
ijassa-775	297	4	⊂	⊂	X
ijassa-775	297	5	b−µ∗	b−µ∗	ADV
ijassa-775	297	6	,	,	PUNCT
ijassa-775	297	7	1c	1c	NOUN
ijassa-775	297	8	.	.	PUNCT
ijassa-775	298	1	let	let	VERB
ijassa-775	298	2	the	the	DET
ijassa-775	298	3	n	n	NOUN
ijassa-775	298	4	value	value	NOUN
ijassa-775	298	5	be	be	AUX
ijassa-775	298	6	chosen	choose	VERB
ijassa-775	298	7	from	from	ADP
ijassa-775	298	8	the	the	DET
ijassa-775	298	9	condition	condition	NOUN
ijassa-775	298	10	cot2	cot2	NOUN
ijassa-775	298	11	π	π	PROPN
ijassa-775	298	12	4n	4n	VERB
ijassa-775	298	13	>	>	X
ijassa-775	298	14	µ∗	µ∗	PROPN
ijassa-775	298	15	,	,	PUNCT
ijassa-775	298	16	and	and	CCONJ
ijassa-775	298	17	the	the	DET
ijassa-775	298	18	coefficients	coefficient	NOUN
ijassa-775	298	19	θ1	θ1	NOUN
ijassa-775	298	20	,	,	PUNCT
ijassa-775	298	21	.	.	PUNCT
ijassa-775	298	22	.	.	PUNCT
ijassa-775	299	1	.	.	PUNCT
ijassa-775	300	1	,	,	PUNCT
ijassa-775	300	2	θn	θn	ADP
ijassa-775	300	3	from	from	ADP
ijassa-775	300	4	the	the	DET
ijassa-775	300	5	conditions	condition	NOUN
ijassa-775	300	6	µr(µ	µr(µ	PRON
ijassa-775	300	7	)	)	PUNCT
ijassa-775	300	8	=	=	SYM
ijassa-775	300	9	µ	µ	X
ijassa-775	300	10	n∑	n∑	NOUN
ijassa-775	300	11	j=1	j=1	NOUN
ijassa-775	300	12	θjµ	θjµ	PROPN
ijassa-775	300	13	j−1	j−1	PROPN
ijassa-775	300	14	=	=	SYM
ijassa-775	300	15	tn	tn	PROPN
ijassa-775	300	16	(	(	PUNCT
ijassa-775	300	17	µ	µ	X
ijassa-775	300	18	(	(	PUNCT
ijassa-775	300	19	1−	1−	NUM
ijassa-775	300	20	cos	cos	PROPN
ijassa-775	300	21	π	π	NOUN
ijassa-775	300	22	2n	2n	NUM
ijassa-775	300	23	)	)	PUNCT
ijassa-775	301	1	+	+	CCONJ
ijassa-775	301	2	cos	cos	PROPN
ijassa-775	301	3	π	π	PROPN
ijassa-775	301	4	2n	2n	NUM
ijassa-775	301	5	)	)	PUNCT
ijassa-775	301	6	,	,	PUNCT
ijassa-775	301	7	where	where	SCONJ
ijassa-775	301	8	tn(x	tn(x	PUNCT
ijassa-775	301	9	)	)	PUNCT
ijassa-775	301	10	is	be	AUX
ijassa-775	301	11	the	the	DET
ijassa-775	301	12	first	first	ADJ
ijassa-775	301	13	kind	kind	NOUN
ijassa-775	301	14	chebyshev	chebyshev	NOUN
ijassa-775	301	15	polynomial	polynomial	NOUN
ijassa-775	301	16	of	of	ADP
ijassa-775	301	17	order	order	NOUN
ijassa-775	301	18	n	n	NOUN
ijassa-775	301	19	.	.	PUNCT
ijassa-775	302	1	then	then	ADV
ijassa-775	302	2	this	this	DET
ijassa-775	302	3	equilibrium	equilibrium	NOUN
ijassa-775	302	4	will	will	AUX
ijassa-775	302	5	be	be	AUX
ijassa-775	302	6	locally	locally	ADV
ijassa-775	302	7	asymptotically	asymptotically	ADV
ijassa-775	302	8	stable	stable	ADJ
ijassa-775	302	9	equilibrium	equilibrium	NOUN
ijassa-775	302	10	of	of	ADP
ijassa-775	302	11	the	the	DET
ijassa-775	302	12	system	system	NOUN
ijassa-775	302	13	(	(	PUNCT
ijassa-775	302	14	2.2	2.2	NUM
ijassa-775	302	15	)	)	PUNCT
ijassa-775	302	16	(	(	PUNCT
ijassa-775	302	17	modulo	modulo	VERB
ijassa-775	302	18	a	a	DET
ijassa-775	302	19	finite	finite	ADJ
ijassa-775	302	20	number	number	NOUN
ijassa-775	302	21	of	of	ADP
ijassa-775	302	22	cases	case	NOUN
ijassa-775	302	23	)	)	PUNCT
ijassa-775	302	24	.	.	PUNCT
ijassa-775	303	1	proof	proof	NOUN
ijassa-775	303	2	note	note	VERB
ijassa-775	303	3	that	that	SCONJ
ijassa-775	303	4	r(0	r(0	PROPN
ijassa-775	303	5	)	)	PUNCT
ijassa-775	303	6	=	=	SYM
ijassa-775	303	7	tn(cos	tn(cos	ADJ
ijassa-775	303	8	π/2n	π/2n	NUM
ijassa-775	303	9	)	)	PUNCT
ijassa-775	303	10	=	=	SYM
ijassa-775	303	11	0	0	NUM
ijassa-775	303	12	,	,	PUNCT
ijassa-775	303	13	r(1	r(1	PROPN
ijassa-775	303	14	)	)	PUNCT
ijassa-775	303	15	=	=	PUNCT
ijassa-775	303	16	tn(1	tn(1	NOUN
ijassa-775	303	17	)	)	PUNCT
ijassa-775	303	18	=	=	SYM
ijassa-775	304	1	1	1	X
ijassa-775	304	2	.	.	PUNCT
ijassa-775	305	1	in	in	ADP
ijassa-775	305	2	addition	addition	NOUN
ijassa-775	305	3	|tn(x)|	|tn(x)|	NOUN
ijassa-775	305	4	≤	≤	ADV
ijassa-775	305	5	1	1	NUM
ijassa-775	305	6	,	,	PUNCT
ijassa-775	305	7	at	at	ADP
ijassa-775	305	8	|x|	|x|	PROPN
ijassa-775	305	9	≤	≤	NUM
ijassa-775	305	10	1	1	NUM
ijassa-775	305	11	,	,	PUNCT
ijassa-775	305	12	whence	whence	ADP
ijassa-775	305	13	|µr(µ)|	|µr(µ)|	PROPN
ijassa-775	305	14	≤	≤	ADV
ijassa-775	305	15	1	1	NUM
ijassa-775	305	16	at	at	ADP
ijassa-775	305	17	∣∣∣µ(1−	∣∣∣µ(1−	ADJ
ijassa-775	305	18	cos	cos	PROPN
ijassa-775	305	19	π	π	PROPN
ijassa-775	305	20	2n	2n	NUM
ijassa-775	305	21	)	)	PUNCT
ijassa-775	306	1	+	+	CCONJ
ijassa-775	306	2	cos	cos	PROPN
ijassa-775	306	3	π	π	X
ijassa-775	306	4	2n	2n	NUM
ijassa-775	306	5	∣∣∣	∣∣∣	ADJ
ijassa-775	306	6	≤	≤	NUM
ijassa-775	306	7	1	1	NUM
ijassa-775	306	8	.	.	PUNCT
ijassa-775	307	1	the	the	DET
ijassa-775	307	2	last	last	ADJ
ijassa-775	307	3	inequality	inequality	NOUN
ijassa-775	307	4	is	be	AUX
ijassa-775	307	5	equivalent	equivalent	ADJ
ijassa-775	307	6	to	to	ADP
ijassa-775	307	7	−	−	PROPN
ijassa-775	307	8	cot2	cot2	PROPN
ijassa-775	307	9	π	π	PROPN
ijassa-775	307	10	4n	4n	VERB
ijassa-775	307	11	≤	≤	X
ijassa-775	307	12	µ	µ	PRON
ijassa-775	307	13	≤	≤	NUM
ijassa-775	307	14	1	1	NUM
ijassa-775	307	15	,	,	PUNCT
ijassa-775	307	16	which	which	PRON
ijassa-775	307	17	proves	prove	VERB
ijassa-775	307	18	the	the	DET
ijassa-775	307	19	theorem	theorem	NOUN
ijassa-775	307	20	.	.	PUNCT
ijassa-775	308	1	note	note	NOUN
ijassa-775	308	2	that	that	SCONJ
ijassa-775	308	3	µ∗	µ∗	VERB
ijassa-775	308	4	→∞	→∞	PROPN
ijassa-775	308	5	(	(	PUNCT
ijassa-775	308	6	n	n	X
ijassa-775	308	7	→∞	→∞	NOUN
ijassa-775	308	8	)	)	PUNCT
ijassa-775	308	9	with	with	ADP
ijassa-775	308	10	asymptotics	asymptotic	NOUN
ijassa-775	308	11	16	16	NUM
ijassa-775	308	12	π2	π2	ADJ
ijassa-775	308	13	n2	n2	NOUN
ijassa-775	308	14	.	.	PUNCT
ijassa-775	309	1	4.6	4.6	NUM
ijassa-775	309	2	.	.	PUNCT
ijassa-775	310	1	the	the	DET
ijassa-775	310	2	general	general	ADJ
ijassa-775	310	3	case	case	NOUN
ijassa-775	310	4	using	use	VERB
ijassa-775	310	5	the	the	DET
ijassa-775	310	6	ideas	idea	NOUN
ijassa-775	310	7	from	from	ADP
ijassa-775	310	8	theorem	theorem	ADJ
ijassa-775	310	9	4.1	4.1	NUM
ijassa-775	310	10	cases	case	NOUN
ijassa-775	310	11	,	,	PUNCT
ijassa-775	310	12	we	we	PRON
ijassa-775	310	13	can	can	AUX
ijassa-775	310	14	propose	propose	VERB
ijassa-775	310	15	the	the	DET
ijassa-775	310	16	following	follow	VERB
ijassa-775	310	17	t	t	PROPN
ijassa-775	310	18	-cycle	-cycle	PROPN
ijassa-775	310	19	stabilization	stabilization	NOUN
ijassa-775	310	20	scheme	scheme	NOUN
ijassa-775	310	21	,	,	PUNCT
ijassa-775	310	22	for	for	ADP
ijassa-775	310	23	which	which	PRON
ijassa-775	310	24	the	the	DET
ijassa-775	310	25	coefficients	coefficient	NOUN
ijassa-775	310	26	θj	θj	ADV
ijassa-775	310	27	are	be	AUX
ijassa-775	310	28	not	not	PART
ijassa-775	310	29	necessarily	necessarily	ADV
ijassa-775	310	30	constants	constant	NOUN
ijassa-775	310	31	:	:	PUNCT
ijassa-775	310	32	a	a	X
ijassa-775	310	33	)	)	PUNCT
ijassa-775	310	34	find	find	VERB
ijassa-775	310	35	the	the	DET
ijassa-775	310	36	matrix	matrix	NOUN
ijassa-775	310	37	f	f	NOUN
ijassa-775	310	38	′(x	′(x	PROPN
ijassa-775	310	39	)	)	PUNCT
ijassa-775	310	40	,	,	PUNCT
ijassa-775	310	41	b	b	X
ijassa-775	310	42	)	)	PUNCT
ijassa-775	310	43	find	find	VERB
ijassa-775	310	44	the	the	DET
ijassa-775	310	45	vectors	vector	NOUN
ijassa-775	310	46	f	f	X
ijassa-775	310	47	(	(	PUNCT
ijassa-775	310	48	s)(x	s)(x	PROPN
ijassa-775	310	49	)	)	PUNCT
ijassa-775	310	50	,	,	PUNCT
ijassa-775	310	51	s	s	NOUN
ijassa-775	310	52	=	=	NOUN
ijassa-775	310	53	1	1	NUM
ijassa-775	310	54	,	,	PUNCT
ijassa-775	310	55	.	.	PUNCT
ijassa-775	310	56	.	.	PUNCT
ijassa-775	311	1	.	.	PUNCT
ijassa-775	312	1	,	,	PUNCT
ijassa-775	312	2	t	t	X
ijassa-775	312	3	−	−	PROPN
ijassa-775	312	4	1	1	NUM
ijassa-775	312	5	,	,	PUNCT
ijassa-775	312	6	c	c	NOUN
ijassa-775	312	7	)	)	PUNCT
ijassa-775	312	8	find	find	VERB
ijassa-775	312	9	the	the	DET
ijassa-775	312	10	matrix	matrix	NOUN
ijassa-775	312	11	f	f	NOUN
ijassa-775	313	1	′	′	NUM
ijassa-775	313	2	(	(	PUNCT
ijassa-775	313	3	f	f	X
ijassa-775	313	4	(	(	PUNCT
ijassa-775	313	5	t−1)(x	t−1)(x	PROPN
ijassa-775	313	6	)	)	PUNCT
ijassa-775	313	7	)	)	PUNCT
ijassa-775	313	8	·	·	PUNCT
ijassa-775	313	9	.	.	PUNCT
ijassa-775	313	10	.	.	PUNCT
ijassa-775	313	11	.	.	PUNCT
ijassa-775	314	1	·	·	PUNCT
ijassa-775	315	1	f	f	X
ijassa-775	315	2	′(f(x	′(f(x	NOUN
ijassa-775	315	3	)	)	PUNCT
ijassa-775	315	4	)	)	PUNCT
ijassa-775	315	5	·	·	PUNCT
ijassa-775	316	1	f	f	X
ijassa-775	316	2	′(x	′(x	NOUN
ijassa-775	316	3	)	)	PUNCT
ijassa-775	316	4	d	d	NOUN
ijassa-775	316	5	)	)	PUNCT
ijassa-775	316	6	find	find	VERB
ijassa-775	316	7	the	the	DET
ijassa-775	316	8	matrix	matrix	NOUN
ijassa-775	316	9	characteristic	characteristic	ADJ
ijassa-775	316	10	polynomial	polynomial	ADJ
ijassa-775	316	11	m+1∑	m+1∑	PROPN
ijassa-775	316	12	j=1	j=1	PROPN
ijassa-775	316	13	θj(x)µj−1	θj(x)µj−1	PROPN
ijassa-775	316	14	,	,	PUNCT
ijassa-775	316	15	copyright	copyright	NOUN
ijassa-775	316	16	c	c	ADP
ijassa-775	316	17	©	©	PROPN
ijassa-775	316	18	2020	2020	NUM
ijassa-775	316	19	assa	assa	NOUN
ijassa-775	316	20	.	.	PUNCT
ijassa-775	317	1	adv	adv	PROPN
ijassa-775	317	2	syst	syst	PROPN
ijassa-775	317	3	sci	sci	PROPN
ijassa-775	317	4	appl	appl	PROPN
ijassa-775	317	5	(	(	PUNCT
ijassa-775	317	6	2020	2020	NUM
ijassa-775	317	7	)	)	PUNCT
ijassa-775	317	8	36	36	NUM
ijassa-775	317	9	d.	d.	PROPN
ijassa-775	317	10	dmitrishin	dmitrishin	PROPN
ijassa-775	317	11	,	,	PUNCT
ijassa-775	317	12	e.	e.	PROPN
ijassa-775	317	13	iacob	iacob	PROPN
ijassa-775	317	14	,	,	PUNCT
ijassa-775	317	15	a.	a.	NOUN
ijassa-775	317	16	stokolos	stokolos	PROPN
ijassa-775	317	17	e	e	X
ijassa-775	317	18	)	)	PUNCT
ijassa-775	317	19	normalize	normalize	VERB
ijassa-775	317	20	the	the	DET
ijassa-775	317	21	characteristic	characteristic	ADJ
ijassa-775	317	22	polynomial	polynomial	ADJ
ijassa-775	317	23	1	1	NUM
ijassa-775	317	24	m+1∑	m+1∑	NOUN
ijassa-775	317	25	j=1	j=1	NOUN
ijassa-775	317	26	θj(x	θj(x	PUNCT
ijassa-775	317	27	)	)	PUNCT
ijassa-775	317	28	m+1∑	m+1∑	NOUN
ijassa-775	317	29	j=1	j=1	PROPN
ijassa-775	317	30	θj(x)µj−1	θj(x)µj−1	PROPN
ijassa-775	317	31	,	,	PUNCT
ijassa-775	317	32	f	f	X
ijassa-775	317	33	)	)	PUNCT
ijassa-775	317	34	build	build	VERB
ijassa-775	317	35	the	the	DET
ijassa-775	317	36	control	control	NOUN
ijassa-775	317	37	system	system	NOUN
ijassa-775	317	38	xn+1	xn+1	PROPN
ijassa-775	317	39	=	=	SYM
ijassa-775	317	40	f	f	PROPN
ijassa-775	317	41	(	(	PUNCT
ijassa-775	317	42	xn	xn	PROPN
ijassa-775	317	43	)	)	PUNCT
ijassa-775	317	44	,	,	PUNCT
ijassa-775	318	1	where	where	SCONJ
ijassa-775	318	2	f	f	PROPN
ijassa-775	318	3	(	(	PUNCT
ijassa-775	318	4	x	x	X
ijassa-775	318	5	)	)	PUNCT
ijassa-775	318	6	=	=	SYM
ijassa-775	318	7	1	1	NUM
ijassa-775	318	8	m+1∑	m+1∑	NOUN
ijassa-775	318	9	j=1	j=1	PROPN
ijassa-775	318	10	θj(x	θj(x	PUNCT
ijassa-775	318	11	)	)	PUNCT
ijassa-775	318	12	m+1∑	m+1∑	NOUN
ijassa-775	318	13	j=1	j=1	NOUN
ijassa-775	318	14	θj(x)f	θj(x)f	NUM
ijassa-775	318	15	(	(	PUNCT
ijassa-775	318	16	(	(	PUNCT
ijassa-775	318	17	j−1)t+1)(x	j−1)t+1)(x	PROPN
ijassa-775	318	18	)	)	PUNCT
ijassa-775	318	19	or	or	CCONJ
ijassa-775	318	20	f	f	X
ijassa-775	318	21	(	(	PUNCT
ijassa-775	318	22	x	x	X
ijassa-775	318	23	)	)	PUNCT
ijassa-775	318	24	=	=	SYM
ijassa-775	319	1	f	f	NOUN
ijassa-775	319	2			NOUN
ijassa-775	319	3	1	1	NUM
ijassa-775	319	4	m+1∑	m+1∑	NOUN
ijassa-775	319	5	j=1	j=1	PROPN
ijassa-775	319	6	θj(x	θj(x	PUNCT
ijassa-775	319	7	)	)	PUNCT
ijassa-775	319	8	(	(	PUNCT
ijassa-775	319	9	θ1x+	θ1x+	X
ijassa-775	319	10	m+1∑	m+1∑	PROPN
ijassa-775	320	1	j=2	j=2	PROPN
ijassa-775	321	1	θj(x)f	θj(x)f	X
ijassa-775	322	1	(	(	PUNCT
ijassa-775	323	1	(	(	PUNCT
ijassa-775	323	2	j−1)t	j−1)t	PROPN
ijassa-775	323	3	)	)	PUNCT
ijassa-775	323	4	(	(	PUNCT
ijassa-775	323	5	x	x	X
ijassa-775	323	6	)	)	PUNCT
ijassa-775	323	7	)	)	PUNCT
ijassa-775	324	1			PRON
ijassa-775	324	2	let	let	VERB
ijassa-775	324	3	us	we	PRON
ijassa-775	324	4	consider	consider	VERB
ijassa-775	324	5	how	how	SCONJ
ijassa-775	324	6	this	this	DET
ijassa-775	324	7	scheme	scheme	NOUN
ijassa-775	324	8	looks	look	VERB
ijassa-775	324	9	like	like	ADP
ijassa-775	324	10	in	in	ADP
ijassa-775	324	11	the	the	DET
ijassa-775	324	12	case	case	NOUN
ijassa-775	324	13	of	of	ADP
ijassa-775	324	14	a	a	DET
ijassa-775	324	15	linear	linear	ADJ
ijassa-775	324	16	problem	problem	NOUN
ijassa-775	324	17	.	.	PUNCT
ijassa-775	325	1	let	let	VERB
ijassa-775	325	2	f(x	f(x	NOUN
ijassa-775	325	3	)	)	PUNCT
ijassa-775	326	1	=	=	PRON
ijassa-775	326	2	ax	ax	NOUN
ijassa-775	326	3	wherea	wherea	NOUN
ijassa-775	326	4	is	be	AUX
ijassa-775	326	5	a	a	DET
ijassa-775	326	6	non	non	ADJ
ijassa-775	326	7	-	-	ADJ
ijassa-775	326	8	degeneratem×mmatrix	degeneratem×mmatrix	NOUN
ijassa-775	326	9	.	.	PUNCT
ijassa-775	327	1	then	then	ADV
ijassa-775	327	2	η	η	PROPN
ijassa-775	327	3	=	=	SYM
ijassa-775	327	4	0	0	PROPN
ijassa-775	327	5	is	be	AUX
ijassa-775	327	6	a	a	DET
ijassa-775	327	7	single	single	ADJ
ijassa-775	327	8	fixed	fix	VERB
ijassa-775	327	9	point	point	NOUN
ijassa-775	327	10	,	,	PUNCT
ijassa-775	327	11	in	in	ADP
ijassa-775	327	12	the	the	DET
ijassa-775	327	13	absence	absence	NOUN
ijassa-775	327	14	of	of	ADP
ijassa-775	327	15	any	any	DET
ijassa-775	327	16	higher	high	ADJ
ijassa-775	327	17	order	order	NOUN
ijassa-775	327	18	cycles	cycle	NOUN
ijassa-775	327	19	.	.	PUNCT
ijassa-775	328	1	we	we	PRON
ijassa-775	328	2	choose	choose	VERB
ijassa-775	328	3	θj	θj	ADV
ijassa-775	328	4	from	from	ADP
ijassa-775	328	5	the	the	DET
ijassa-775	328	6	condition	condition	NOUN
ijassa-775	328	7	1	1	NUM
ijassa-775	328	8	det	det	NOUN
ijassa-775	328	9	(	(	PUNCT
ijassa-775	328	10	i	i	PRON
ijassa-775	328	11	−	−	PROPN
ijassa-775	328	12	a	a	DET
ijassa-775	328	13	)	)	PUNCT
ijassa-775	328	14	det	det	NOUN
ijassa-775	328	15	(	(	PUNCT
ijassa-775	328	16	µi	µi	PROPN
ijassa-775	328	17	−	−	PROPN
ijassa-775	328	18	a	a	NOUN
ijassa-775	328	19	)	)	PUNCT
ijassa-775	328	20	=	=	SYM
ijassa-775	328	21	m+1∑	m+1∑	NOUN
ijassa-775	328	22	j=1	j=1	NOUN
ijassa-775	328	23	θjµ	θjµ	PROPN
ijassa-775	328	24	j−1	j−1	PROPN
ijassa-775	328	25	.	.	PUNCT
ijassa-775	329	1	then	then	ADV
ijassa-775	329	2	the	the	DET
ijassa-775	329	3	control	control	NOUN
ijassa-775	329	4	system	system	NOUN
ijassa-775	329	5	is	be	AUX
ijassa-775	329	6	xn+1	xn+1	PROPN
ijassa-775	329	7	=	=	SYM
ijassa-775	329	8	1	1	NUM
ijassa-775	329	9	m+1∑	m+1∑	NOUN
ijassa-775	329	10	j=1	j=1	NOUN
ijassa-775	329	11	θj	θj	ADV
ijassa-775	330	1	m+1∑	m+1∑	PROPN
ijassa-775	330	2	j=1	j=1	PROPN
ijassa-775	330	3	θja	θja	PROPN
ijassa-775	330	4	jxn	jxn	PROPN
ijassa-775	330	5	.	.	PUNCT
ijassa-775	331	1	by	by	ADP
ijassa-775	331	2	the	the	DET
ijassa-775	331	3	hamilton	hamilton	PROPN
ijassa-775	331	4	-	-	PUNCT
ijassa-775	331	5	cayley	cayley	PROPN
ijassa-775	331	6	theorem	theorem	NOUN
ijassa-775	331	7	it	it	PRON
ijassa-775	331	8	follows	follow	VERB
ijassa-775	331	9	that	that	SCONJ
ijassa-775	331	10	this	this	DET
ijassa-775	331	11	system	system	NOUN
ijassa-775	331	12	right	right	ADJ
ijassa-775	331	13	-	-	PUNCT
ijassa-775	331	14	hand	hand	NOUN
ijassa-775	331	15	side	side	NOUN
ijassa-775	331	16	is	be	AUX
ijassa-775	331	17	an	an	DET
ijassa-775	331	18	identical	identical	ADJ
ijassa-775	331	19	zero	zero	NUM
ijassa-775	331	20	.	.	PUNCT
ijassa-775	332	1	in	in	ADP
ijassa-775	332	2	the	the	DET
ijassa-775	332	3	general	general	ADJ
ijassa-775	332	4	case	case	NOUN
ijassa-775	332	5	,	,	PUNCT
ijassa-775	332	6	applying	apply	VERB
ijassa-775	332	7	this	this	DET
ijassa-775	332	8	method	method	NOUN
ijassa-775	332	9	to	to	ADP
ijassa-775	332	10	stabilizing	stabilize	VERB
ijassa-775	332	11	chaotic	chaotic	ADJ
ijassa-775	332	12	motion	motion	NOUN
ijassa-775	332	13	tending	tend	VERB
ijassa-775	332	14	to	to	ADP
ijassa-775	332	15	mixing	mixing	NOUN
ijassa-775	332	16	,	,	PUNCT
ijassa-775	332	17	one	one	PRON
ijassa-775	332	18	can	can	AUX
ijassa-775	332	19	expect	expect	VERB
ijassa-775	332	20	that	that	SCONJ
ijassa-775	332	21	after	after	ADP
ijassa-775	332	22	a	a	DET
ijassa-775	332	23	certain	certain	ADJ
ijassa-775	332	24	number	number	NOUN
ijassa-775	332	25	of	of	ADP
ijassa-775	332	26	iterations	iteration	NOUN
ijassa-775	332	27	the	the	DET
ijassa-775	332	28	trajectory	trajectory	NOUN
ijassa-775	332	29	falls	fall	VERB
ijassa-775	332	30	into	into	ADP
ijassa-775	332	31	the	the	DET
ijassa-775	332	32	basin	basin	NOUN
ijassa-775	332	33	of	of	ADP
ijassa-775	332	34	attraction	attraction	NOUN
ijassa-775	332	35	for	for	ADP
ijassa-775	332	36	the	the	DET
ijassa-775	332	37	stabilized	stabilize	VERB
ijassa-775	332	38	cycle	cycle	NOUN
ijassa-775	332	39	.	.	PUNCT
ijassa-775	333	1	then	then	ADV
ijassa-775	333	2	the	the	DET
ijassa-775	333	3	convergence	convergence	NOUN
ijassa-775	333	4	to	to	ADP
ijassa-775	333	5	the	the	DET
ijassa-775	333	6	cycle	cycle	NOUN
ijassa-775	333	7	will	will	AUX
ijassa-775	333	8	be	be	AUX
ijassa-775	333	9	superlinear	superlinear	VERB
ijassa-775	333	10	.	.	PUNCT
ijassa-775	334	1	note	note	VERB
ijassa-775	334	2	that	that	SCONJ
ijassa-775	334	3	if	if	SCONJ
ijassa-775	334	4	in	in	ADP
ijassa-775	334	5	all	all	DET
ijassa-775	334	6	the	the	DET
ijassa-775	334	7	considered	consider	VERB
ijassa-775	334	8	cases	case	NOUN
ijassa-775	334	9	|θj|	|θj|	PROPN
ijassa-775	334	10	is	be	AUX
ijassa-775	334	11	being	be	AUX
ijassa-775	334	12	used	use	VERB
ijassa-775	334	13	instead	instead	ADV
ijassa-775	334	14	of	of	ADP
ijassa-775	334	15	θj	θj	NOUN
ijassa-775	334	16	,	,	PUNCT
ijassa-775	334	17	then	then	ADV
ijassa-775	334	18	it	it	PRON
ijassa-775	334	19	becomes	become	VERB
ijassa-775	334	20	possible	possible	ADJ
ijassa-775	334	21	to	to	PART
ijassa-775	334	22	stabilize	stabilize	VERB
ijassa-775	334	23	the	the	DET
ijassa-775	334	24	system	system	NOUN
ijassa-775	334	25	(	(	PUNCT
ijassa-775	334	26	2.1	2.1	NUM
ijassa-775	334	27	)	)	PUNCT
ijassa-775	334	28	cycles	cycle	NOUN
ijassa-775	334	29	with	with	ADP
ijassa-775	334	30	multipliers	multiplier	NOUN
ijassa-775	334	31	lying	lie	VERB
ijassa-775	334	32	inm	inm	PROPN
ijassa-775	334	33	=	=	PUNCT
ijassa-775	335	1	d	d	X
ijassa-775	335	2	∪	∪	X
ijassa-775	335	3	{	{	PUNCT
ijassa-775	335	4	µ	µ	NOUN
ijassa-775	335	5	:	:	PUNCT
ijassa-775	335	6	re	re	X
ijassa-775	335	7	(	(	PUNCT
ijassa-775	335	8	µ	µ	NOUN
ijassa-775	335	9	)	)	PUNCT
ijassa-775	335	10	≤	≤	NOUN
ijassa-775	335	11	0	0	NUM
ijassa-775	335	12	}	}	PUNCT
ijassa-775	335	13	.	.	PUNCT
ijassa-775	336	1	moreover	moreover	ADV
ijassa-775	336	2	,	,	PUNCT
ijassa-775	336	3	the	the	DET
ijassa-775	336	4	convex	convex	NOUN
ijassa-775	336	5	invariant	invariant	ADJ
ijassa-775	336	6	set	set	NOUN
ijassa-775	336	7	of	of	ADP
ijassa-775	336	8	system	system	NOUN
ijassa-775	336	9	(	(	PUNCT
ijassa-775	336	10	2.1	2.1	NUM
ijassa-775	336	11	)	)	PUNCT
ijassa-775	336	12	will	will	AUX
ijassa-775	336	13	remain	remain	VERB
ijassa-775	336	14	such	such	ADJ
ijassa-775	336	15	for	for	ADP
ijassa-775	336	16	system	system	NOUN
ijassa-775	336	17	(	(	PUNCT
ijassa-775	336	18	2.2	2.2	NUM
ijassa-775	336	19	)	)	PUNCT
ijassa-775	336	20	.	.	PUNCT
ijassa-775	337	1	in	in	ADP
ijassa-775	337	2	addition	addition	NOUN
ijassa-775	337	3	,	,	PUNCT
ijassa-775	337	4	the	the	DET
ijassa-775	337	5	system	system	NOUN
ijassa-775	337	6	(	(	PUNCT
ijassa-775	337	7	2.2	2.2	NUM
ijassa-775	337	8	)	)	PUNCT
ijassa-775	337	9	multipliers	multiplier	NOUN
ijassa-775	337	10	,	,	PUNCT
ijassa-775	337	11	corresponding	correspond	VERB
ijassa-775	337	12	to	to	ADP
ijassa-775	337	13	those	those	DET
ijassa-775	337	14	multipliers	multiplier	NOUN
ijassa-775	337	15	of	of	ADP
ijassa-775	337	16	system	system	NOUN
ijassa-775	337	17	(	(	PUNCT
ijassa-775	337	18	2.1	2.1	NUM
ijassa-775	337	19	)	)	PUNCT
ijassa-775	337	20	that	that	PRON
ijassa-775	337	21	lie	lie	VERB
ijassa-775	337	22	in	in	ADP
ijassa-775	337	23	the	the	DET
ijassa-775	337	24	unit	unit	NOUN
ijassa-775	337	25	circle	circle	NOUN
ijassa-775	337	26	,	,	PUNCT
ijassa-775	337	27	will	will	AUX
ijassa-775	337	28	become	become	VERB
ijassa-775	337	29	closer	close	ADJ
ijassa-775	337	30	to	to	ADP
ijassa-775	337	31	zero	zero	NUM
ijassa-775	337	32	.	.	PUNCT
ijassa-775	338	1	5	5	NUM
ijassa-775	338	2	.	.	X
ijassa-775	338	3	examples	example	NOUN
ijassa-775	338	4	let	let	VERB
ijassa-775	338	5	us	we	PRON
ijassa-775	338	6	illustrate	illustrate	VERB
ijassa-775	338	7	the	the	DET
ijassa-775	338	8	effectiveness	effectiveness	NOUN
ijassa-775	338	9	of	of	ADP
ijassa-775	338	10	the	the	DET
ijassa-775	338	11	generalized	generalized	ADJ
ijassa-775	338	12	predictive	predictive	ADJ
ijassa-775	338	13	control	control	NOUN
ijassa-775	338	14	method	method	NOUN
ijassa-775	338	15	for	for	ADP
ijassa-775	338	16	finding	find	VERB
ijassa-775	338	17	periodic	periodic	ADJ
ijassa-775	338	18	orbits	orbit	NOUN
ijassa-775	338	19	with	with	ADP
ijassa-775	338	20	several	several	ADJ
ijassa-775	338	21	well	well	ADV
ijassa-775	338	22	-	-	PUNCT
ijassa-775	338	23	known	know	VERB
ijassa-775	338	24	examples	example	NOUN
ijassa-775	338	25	of	of	ADP
ijassa-775	338	26	scalar	scalar	ADJ
ijassa-775	338	27	and	and	CCONJ
ijassa-775	338	28	vector	vector	NOUN
ijassa-775	338	29	chaotic	chaotic	ADJ
ijassa-775	338	30	systems	system	NOUN
ijassa-775	338	31	[	[	X
ijassa-775	338	32	26	26	NUM
ijassa-775	338	33	]	]	PUNCT
ijassa-775	338	34	.	.	PUNCT
ijassa-775	339	1	the	the	DET
ijassa-775	339	2	scheme	scheme	NOUN
ijassa-775	339	3	applied	apply	VERB
ijassa-775	339	4	for	for	ADP
ijassa-775	339	5	the	the	DET
ijassa-775	339	6	logistic	logistic	ADJ
ijassa-775	339	7	and	and	CCONJ
ijassa-775	339	8	triangular	triangular	NOUN
ijassa-775	339	9	mappings	mapping	NOUN
ijassa-775	339	10	(	(	PUNCT
ijassa-775	339	11	examples	example	NOUN
ijassa-775	339	12	from	from	ADP
ijassa-775	339	13	sections	section	NOUN
ijassa-775	339	14	5.1–5.2	5.1–5.2	NUM
ijassa-775	339	15	)	)	PUNCT
ijassa-775	339	16	was	be	AUX
ijassa-775	339	17	a	a	DET
ijassa-775	339	18	general	general	ADJ
ijassa-775	339	19	scheme	scheme	NOUN
ijassa-775	339	20	{	{	PUNCT
ijassa-775	339	21	xn+1	xn+1	PROPN
ijassa-775	339	22	=	=	SYM
ijassa-775	340	1	θ(xn	θ(xn	X
ijassa-775	340	2	)	)	PUNCT
ijassa-775	340	3	1+θ(xn	1+θ(xn	NUM
ijassa-775	340	4	)	)	PUNCT
ijassa-775	340	5	f	f	NOUN
ijassa-775	340	6	(	(	PUNCT
ijassa-775	340	7	xn	xn	PROPN
ijassa-775	340	8	)	)	PUNCT
ijassa-775	341	1	+	+	CCONJ
ijassa-775	341	2	1	1	NUM
ijassa-775	341	3	1+θ(xn	1+θ(xn	NUM
ijassa-775	341	4	)	)	PUNCT
ijassa-775	341	5	f	f	NOUN
ijassa-775	341	6	(	(	PUNCT
ijassa-775	341	7	t+1	t+1	PROPN
ijassa-775	341	8	)	)	PUNCT
ijassa-775	341	9	(	(	PUNCT
ijassa-775	341	10	xn	xn	X
ijassa-775	341	11	)	)	PUNCT
ijassa-775	341	12	,	,	PUNCT
ijassa-775	341	13	θ	θ	PROPN
ijassa-775	341	14	(	(	PUNCT
ijassa-775	341	15	xn	xn	PROPN
ijassa-775	341	16	)	)	PUNCT
ijassa-775	342	1	=	=	SYM
ijassa-775	342	2	−f	−f	NOUN
ijassa-775	342	3	′	′	NUM
ijassa-775	343	1	(	(	PUNCT
ijassa-775	343	2	f	f	PROPN
ijassa-775	343	3	(	(	PUNCT
ijassa-775	343	4	t−1	t−1	PROPN
ijassa-775	343	5	)	)	PUNCT
ijassa-775	343	6	(	(	PUNCT
ijassa-775	343	7	xn	xn	NOUN
ijassa-775	343	8	)	)	PUNCT
ijassa-775	343	9	)	)	PUNCT
ijassa-775	343	10	·	·	PUNCT
ijassa-775	343	11	.	.	PUNCT
ijassa-775	343	12	.	.	PUNCT
ijassa-775	343	13	.	.	PUNCT
ijassa-775	343	14	·	·	PUNCT
ijassa-775	344	1	f	f	X
ijassa-775	345	1	′	′	NUM
ijassa-775	345	2	(	(	PUNCT
ijassa-775	345	3	f	f	PROPN
ijassa-775	345	4	(	(	PUNCT
ijassa-775	345	5	xn	xn	PROPN
ijassa-775	345	6	)	)	PUNCT
ijassa-775	345	7	)	)	PUNCT
ijassa-775	345	8	·	·	PUNCT
ijassa-775	346	1	f	f	X
ijassa-775	347	1	′	′	NUM
ijassa-775	347	2	(	(	PUNCT
ijassa-775	347	3	xn	xn	PROPN
ijassa-775	347	4	)	)	PUNCT
ijassa-775	347	5	.	.	PUNCT
ijassa-775	348	1	copyright	copyright	NOUN
ijassa-775	348	2	c	c	ADP
ijassa-775	348	3	©	©	PROPN
ijassa-775	348	4	2020	2020	NUM
ijassa-775	348	5	assa	assa	NOUN
ijassa-775	348	6	.	.	PUNCT
ijassa-775	349	1	adv	adv	PROPN
ijassa-775	349	2	syst	syst	PROPN
ijassa-775	349	3	sci	sci	PROPN
ijassa-775	349	4	appl	appl	PROPN
ijassa-775	349	5	(	(	PUNCT
ijassa-775	349	6	2020	2020	NUM
ijassa-775	349	7	)	)	PUNCT
ijassa-775	349	8	average	average	ADJ
ijassa-775	349	9	predictive	predictive	ADJ
ijassa-775	349	10	control	control	NOUN
ijassa-775	349	11	37	37	NUM
ijassa-775	349	12	it	it	PRON
ijassa-775	349	13	was	be	AUX
ijassa-775	349	14	possible	possible	ADJ
ijassa-775	349	15	to	to	PART
ijassa-775	349	16	find	find	VERB
ijassa-775	349	17	a	a	DET
ijassa-775	349	18	large	large	ADJ
ijassa-775	349	19	number	number	NOUN
ijassa-775	349	20	of	of	ADP
ijassa-775	349	21	cycles	cycle	NOUN
ijassa-775	349	22	for	for	ADP
ijassa-775	349	23	all	all	DET
ijassa-775	349	24	considered	consider	VERB
ijassa-775	349	25	periods	period	NOUN
ijassa-775	349	26	t	t	NOUN
ijassa-775	349	27	;	;	PUNCT
ijassa-775	349	28	in	in	ADP
ijassa-775	349	29	general	general	ADJ
ijassa-775	349	30	,	,	PUNCT
ijassa-775	349	31	different	different	ADJ
ijassa-775	349	32	initial	initial	ADJ
ijassa-775	349	33	conditions	condition	NOUN
ijassa-775	349	34	are	be	AUX
ijassa-775	349	35	producing	produce	VERB
ijassa-775	349	36	different	different	ADJ
ijassa-775	349	37	cycles	cycle	NOUN
ijassa-775	349	38	.	.	PUNCT
ijassa-775	350	1	numerical	numerical	PROPN
ijassa-775	350	2	calculations	calculations	PROPN
ijassa-775	350	3	show	show	VERB
ijassa-775	350	4	that	that	SCONJ
ijassa-775	350	5	with	with	ADP
ijassa-775	350	6	sufficiently	sufficiently	ADV
ijassa-775	350	7	dense	dense	ADJ
ijassa-775	350	8	initial	initial	ADJ
ijassa-775	350	9	values	value	NOUN
ijassa-775	350	10	grid	grid	VERB
ijassa-775	350	11	,	,	PUNCT
ijassa-775	350	12	all	all	DET
ijassa-775	350	13	cycles	cycle	NOUN
ijassa-775	350	14	of	of	ADP
ijassa-775	350	15	a	a	DET
ijassa-775	350	16	given	give	VERB
ijassa-775	350	17	length	length	NOUN
ijassa-775	350	18	can	can	AUX
ijassa-775	350	19	be	be	AUX
ijassa-775	350	20	found	find	VERB
ijassa-775	350	21	.	.	PUNCT
ijassa-775	351	1	however	however	ADV
ijassa-775	351	2	,	,	PUNCT
ijassa-775	351	3	in	in	ADP
ijassa-775	351	4	this	this	DET
ijassa-775	351	5	case	case	NOUN
ijassa-775	351	6	it	it	PRON
ijassa-775	351	7	is	be	AUX
ijassa-775	351	8	necessary	necessary	ADJ
ijassa-775	351	9	to	to	PART
ijassa-775	351	10	ensure	ensure	VERB
ijassa-775	351	11	that	that	SCONJ
ijassa-775	351	12	the	the	DET
ijassa-775	351	13	point	point	NOUN
ijassa-775	351	14	xn	xn	PUNCT
ijassa-775	351	15	remains	remain	VERB
ijassa-775	351	16	within	within	ADP
ijassa-775	351	17	the	the	DET
ijassa-775	351	18	invariant	invariant	ADJ
ijassa-775	351	19	set	set	NOUN
ijassa-775	351	20	,	,	PUNCT
ijassa-775	351	21	otherwise	otherwise	ADV
ijassa-775	351	22	,	,	PUNCT
ijassa-775	351	23	as	as	ADP
ijassa-775	351	24	a	a	DET
ijassa-775	351	25	rule	rule	NOUN
ijassa-775	351	26	it	it	PRON
ijassa-775	351	27	goes	go	VERB
ijassa-775	351	28	to	to	ADP
ijassa-775	351	29	infinity	infinity	NOUN
ijassa-775	351	30	.	.	PUNCT
ijassa-775	352	1	if	if	SCONJ
ijassa-775	352	2	we	we	PRON
ijassa-775	352	3	use	use	VERB
ijassa-775	352	4	|θ(x)|	|θ(x)|	NOUN
ijassa-775	352	5	instead	instead	ADV
ijassa-775	352	6	of	of	ADP
ijassa-775	352	7	θ(x	θ(x	PROPN
ijassa-775	352	8	)	)	PUNCT
ijassa-775	352	9	,	,	PUNCT
ijassa-775	352	10	the	the	DET
ijassa-775	352	11	point	point	NOUN
ijassa-775	352	12	xn	xn	PROPN
ijassa-775	352	13	will	will	AUX
ijassa-775	352	14	always	always	ADV
ijassa-775	352	15	remain	remain	VERB
ijassa-775	352	16	in	in	ADP
ijassa-775	352	17	the	the	DET
ijassa-775	352	18	invariant	invariant	ADJ
ijassa-775	352	19	set	set	NOUN
ijassa-775	352	20	.	.	PUNCT
ijassa-775	353	1	however	however	ADV
ijassa-775	353	2	,	,	PUNCT
ijassa-775	353	3	in	in	ADP
ijassa-775	353	4	this	this	DET
ijassa-775	353	5	case	case	NOUN
ijassa-775	353	6	we	we	PRON
ijassa-775	353	7	can	can	AUX
ijassa-775	353	8	find	find	VERB
ijassa-775	353	9	cycles	cycle	NOUN
ijassa-775	353	10	only	only	ADV
ijassa-775	353	11	with	with	ADP
ijassa-775	353	12	multipliers	multiplier	NOUN
ijassa-775	353	13	from	from	ADP
ijassa-775	353	14	the	the	DET
ijassa-775	353	15	set	set	NOUN
ijassa-775	353	16	m	m	NOUN
ijassa-775	353	17	=	=	SYM
ijassa-775	353	18	d	d	X
ijassa-775	353	19	∪	∪	X
ijassa-775	353	20	{	{	PUNCT
ijassa-775	353	21	µ	µ	NOUN
ijassa-775	353	22	:	:	PUNCT
ijassa-775	353	23	re	re	X
ijassa-775	353	24	(	(	PUNCT
ijassa-775	353	25	µ	µ	NOUN
ijassa-775	353	26	)	)	PUNCT
ijassa-775	353	27	≤	≤	NOUN
ijassa-775	353	28	0	0	NUM
ijassa-775	353	29	}	}	PUNCT
ijassa-775	353	30	.	.	PUNCT
ijassa-775	354	1	in	in	ADP
ijassa-775	354	2	the	the	DET
ijassa-775	354	3	two	two	NUM
ijassa-775	354	4	-	-	PUNCT
ijassa-775	354	5	dimensional	dimensional	ADJ
ijassa-775	354	6	case	case	NOUN
ijassa-775	354	7	,	,	PUNCT
ijassa-775	354	8	the	the	DET
ijassa-775	354	9	scheme	scheme	NOUN
ijassa-775	354	10	used	use	VERB
ijassa-775	354	11	was	be	AUX
ijassa-775	354	12	xn+1	xn+1	PROPN
ijassa-775	354	13	=	=	SYM
ijassa-775	354	14	f	f	PROPN
ijassa-775	354	15	(	(	PUNCT
ijassa-775	354	16	θ	θ	NOUN
ijassa-775	354	17	1	1	NUM
ijassa-775	354	18	+	+	NUM
ijassa-775	354	19	θ	θ	NOUN
ijassa-775	354	20	xn	xn	PUNCT
ijassa-775	355	1	+	+	CCONJ
ijassa-775	355	2	1	1	NUM
ijassa-775	355	3	1	1	NUM
ijassa-775	355	4	+	+	NUM
ijassa-775	355	5	θ	θ	PROPN
ijassa-775	355	6	f	f	PROPN
ijassa-775	355	7	(	(	PUNCT
ijassa-775	355	8	t	t	PROPN
ijassa-775	355	9	)	)	PUNCT
ijassa-775	355	10	(	(	PUNCT
ijassa-775	355	11	xn	xn	X
ijassa-775	355	12	)	)	PUNCT
ijassa-775	355	13	)	)	PUNCT
ijassa-775	355	14	.	.	PUNCT
ijassa-775	356	1	(	(	PUNCT
ijassa-775	356	2	5.6	5.6	NUM
ijassa-775	356	3	)	)	PUNCT
ijassa-775	356	4	the	the	DET
ijassa-775	356	5	value	value	NOUN
ijassa-775	356	6	θ	θ	PROPN
ijassa-775	356	7	should	should	AUX
ijassa-775	356	8	be	be	AUX
ijassa-775	356	9	chosen	choose	VERB
ijassa-775	356	10	according	accord	VERB
ijassa-775	356	11	to	to	ADP
ijassa-775	356	12	the	the	DET
ijassa-775	356	13	condition	condition	NOUN
ijassa-775	356	14	x	x	PUNCT
ijassa-775	356	15	(	(	PUNCT
ijassa-775	356	16	θ	θ	NOUN
ijassa-775	356	17	1	1	NUM
ijassa-775	356	18	+	+	NUM
ijassa-775	356	19	θ	θ	NOUN
ijassa-775	357	1	+	+	CCONJ
ijassa-775	357	2	1	1	NUM
ijassa-775	357	3	1	1	NUM
ijassa-775	357	4	+	+	NUM
ijassa-775	357	5	θ	θ	NOUN
ijassa-775	357	6	x	x	X
ijassa-775	357	7	)	)	PUNCT
ijassa-775	357	8	t	t	NOUN
ijassa-775	358	1	∈	∈	PROPN
ijassa-775	358	2	d	d	X
ijassa-775	358	3	at	at	ADP
ijassa-775	358	4	x	x	X
ijassa-775	358	5	=	=	SYM
ijassa-775	358	6	µ∗j	µ∗j	NOUN
ijassa-775	358	7	,	,	PUNCT
ijassa-775	358	8	where	where	SCONJ
ijassa-775	358	9	µ∗j	µ∗j	NUM
ijassa-775	358	10	are	be	AUX
ijassa-775	358	11	cycle	cycle	NOUN
ijassa-775	358	12	multipliers	multiplier	NOUN
ijassa-775	358	13	(	(	PUNCT
ijassa-775	358	14	j	j	NOUN
ijassa-775	358	15	=	=	SYM
ijassa-775	358	16	1	1	NUM
ijassa-775	358	17	,	,	PUNCT
ijassa-775	358	18	2	2	NUM
ijassa-775	358	19	)	)	PUNCT
ijassa-775	358	20	,	,	PUNCT
ijassa-775	358	21	and	and	CCONJ
ijassa-775	358	22	in	in	ADP
ijassa-775	358	23	general	general	ADJ
ijassa-775	358	24	,	,	PUNCT
ijassa-775	358	25	they	they	PRON
ijassa-775	358	26	are	be	AUX
ijassa-775	358	27	unknown	unknown	ADJ
ijassa-775	358	28	.	.	PUNCT
ijassa-775	359	1	in	in	ADP
ijassa-775	359	2	the	the	DET
ijassa-775	359	3	examples	example	NOUN
ijassa-775	359	4	below	below	ADV
ijassa-775	359	5	,	,	PUNCT
ijassa-775	359	6	one	one	NUM
ijassa-775	359	7	of	of	ADP
ijassa-775	359	8	the	the	DET
ijassa-775	359	9	multipliers	multiplier	NOUN
ijassa-775	359	10	never	never	ADV
ijassa-775	359	11	exceeds	exceed	VERB
ijassa-775	359	12	one	one	NUM
ijassa-775	359	13	in	in	ADP
ijassa-775	359	14	magnitude	magnitude	NOUN
ijassa-775	359	15	,	,	PUNCT
ijassa-775	359	16	while	while	SCONJ
ijassa-775	359	17	the	the	DET
ijassa-775	359	18	second	second	ADJ
ijassa-775	359	19	one	one	NOUN
ijassa-775	359	20	is	be	AUX
ijassa-775	359	21	negative	negative	ADJ
ijassa-775	359	22	,	,	PUNCT
ijassa-775	359	23	greater	great	ADJ
ijassa-775	359	24	than	than	ADP
ijassa-775	359	25	one	one	NUM
ijassa-775	359	26	in	in	ADP
ijassa-775	359	27	absolute	absolute	ADJ
ijassa-775	359	28	value	value	NOUN
ijassa-775	359	29	.	.	PUNCT
ijassa-775	360	1	the	the	DET
ijassa-775	360	2	theorem	theorem	ADJ
ijassa-775	360	3	4.2	4.2	NUM
ijassa-775	360	4	guarantees	guarantee	VERB
ijassa-775	360	5	stability	stability	NOUN
ijassa-775	360	6	conditions	condition	NOUN
ijassa-775	360	7	even	even	ADV
ijassa-775	360	8	if	if	SCONJ
ijassa-775	360	9	the	the	DET
ijassa-775	360	10	parameter	parameter	NOUN
ijassa-775	360	11	θ	θ	PROPN
ijassa-775	360	12	satisfies	satisfy	VERB
ijassa-775	360	13	x	x	PUNCT
ijassa-775	360	14	(	(	PUNCT
ijassa-775	360	15	θ	θ	NOUN
ijassa-775	360	16	1	1	NUM
ijassa-775	360	17	+	+	NUM
ijassa-775	360	18	θ	θ	NOUN
ijassa-775	361	1	+	+	CCONJ
ijassa-775	361	2	1	1	NUM
ijassa-775	361	3	1	1	NUM
ijassa-775	361	4	+	+	NUM
ijassa-775	361	5	θ	θ	NOUN
ijassa-775	361	6	x	x	X
ijassa-775	361	7	)	)	PUNCT
ijassa-775	361	8	t	t	PROPN
ijassa-775	361	9	6=	6=	NOUN
ijassa-775	361	10	0	0	X
ijassa-775	361	11	.	.	PUNCT
ijassa-775	362	1	it	it	PRON
ijassa-775	362	2	is	be	AUX
ijassa-775	362	3	enough	enough	ADJ
ijassa-775	362	4	have	have	VERB
ijassa-775	362	5	θ	θ	PROPN
ijassa-775	362	6	in	in	ADP
ijassa-775	362	7	the	the	DET
ijassa-775	362	8	neighborhood	neighborhood	NOUN
ijassa-775	362	9	of	of	ADP
ijassa-775	362	10	multiplier	multipli	ADJ
ijassa-775	362	11	.	.	PUNCT
ijassa-775	363	1	in	in	ADP
ijassa-775	363	2	general	general	ADJ
ijassa-775	363	3	theorem	theorem	VERB
ijassa-775	363	4	4.2	4.2	NUM
ijassa-775	363	5	does	do	AUX
ijassa-775	363	6	not	not	PART
ijassa-775	363	7	provide	provide	VERB
ijassa-775	363	8	the	the	DET
ijassa-775	363	9	estimate	estimate	NOUN
ijassa-775	363	10	on	on	ADP
ijassa-775	363	11	the	the	DET
ijassa-775	363	12	parameters	parameter	NOUN
ijassa-775	363	13	,	,	PUNCT
ijassa-775	363	14	however	however	ADV
ijassa-775	363	15	when	when	SCONJ
ijassa-775	363	16	one	one	NUM
ijassa-775	363	17	multiplier	multiplier	ADV
ijassa-775	363	18	is	be	AUX
ijassa-775	363	19	in	in	ADP
ijassa-775	363	20	the	the	DET
ijassa-775	363	21	unit	unit	NOUN
ijassa-775	363	22	disc	disc	NOUN
ijassa-775	363	23	and	and	CCONJ
ijassa-775	363	24	the	the	DET
ijassa-775	363	25	other	other	ADJ
ijassa-775	363	26	is	be	AUX
ijassa-775	363	27	real	real	ADJ
ijassa-775	363	28	and	and	CCONJ
ijassa-775	363	29	negative	negative	ADJ
ijassa-775	363	30	an	an	DET
ijassa-775	363	31	elementary	elementary	ADJ
ijassa-775	363	32	trial	trial	NOUN
ijassa-775	363	33	works	work	VERB
ijassa-775	363	34	quite	quite	ADV
ijassa-775	363	35	effectively	effectively	ADV
ijassa-775	363	36	.	.	PUNCT
ijassa-775	364	1	thus	thus	ADV
ijassa-775	364	2	θ	θ	X
ijassa-775	364	3	>	>	X
ijassa-775	364	4	0	0	NUM
ijassa-775	364	5	,	,	PUNCT
ijassa-775	364	6	and	and	CCONJ
ijassa-775	364	7	we	we	PRON
ijassa-775	364	8	only	only	ADV
ijassa-775	364	9	have	have	VERB
ijassa-775	364	10	to	to	PART
ijassa-775	364	11	check	check	VERB
ijassa-775	364	12	the	the	DET
ijassa-775	364	13	compliance	compliance	NOUN
ijassa-775	364	14	with	with	ADP
ijassa-775	364	15	the	the	DET
ijassa-775	364	16	condition	condition	NOUN
ijassa-775	364	17	for	for	ADP
ijassa-775	364	18	the	the	DET
ijassa-775	364	19	second	second	ADJ
ijassa-775	364	20	multiplier	multipli	ADJ
ijassa-775	364	21	∣∣∣∣∣µ∗2	∣∣∣∣∣µ∗2	PROPN
ijassa-775	364	22	(	(	PUNCT
ijassa-775	364	23	θ	θ	NOUN
ijassa-775	364	24	1	1	NUM
ijassa-775	365	1	+	+	NUM
ijassa-775	365	2	θ	θ	NOUN
ijassa-775	366	1	+	+	CCONJ
ijassa-775	366	2	1	1	NUM
ijassa-775	366	3	1	1	NUM
ijassa-775	366	4	+	+	NUM
ijassa-775	366	5	θ	θ	NOUN
ijassa-775	366	6	µ∗2	µ∗2	NOUN
ijassa-775	366	7	)	)	PUNCT
ijassa-775	366	8	t	t	PROPN
ijassa-775	367	1	∣∣∣∣∣	∣∣∣∣∣	NOUN
ijassa-775	367	2	<	<	X
ijassa-775	367	3	1	1	X
ijassa-775	367	4	.	.	PUNCT
ijassa-775	367	5	(	(	PUNCT
ijassa-775	367	6	5.7	5.7	NUM
ijassa-775	367	7	)	)	PUNCT
ijassa-775	367	8	let	let	VERB
ijassa-775	367	9	θ	θ	PROPN
ijassa-775	367	10	=	=	SYM
ijassa-775	367	11	|µ∗2|+	|µ∗2|+	PROPN
ijassa-775	367	12	∆	∆	PRON
ijassa-775	367	13	and	and	CCONJ
ijassa-775	367	14	assume	assume	VERB
ijassa-775	367	15	that	that	SCONJ
ijassa-775	367	16	|µ∗2|	|µ∗2|	NOUN
ijassa-775	367	17	<	<	X
ijassa-775	367	18	2	2	NUM
ijassa-775	367	19	t	t	NOUN
ijassa-775	367	20	.	.	PUNCT
ijassa-775	368	1	if	if	SCONJ
ijassa-775	368	2	required	require	VERB
ijassa-775	368	3	that	that	DET
ijassa-775	368	4	∣∣∣∣	∣∣∣∣	NOUN
ijassa-775	368	5	θ	θ	NOUN
ijassa-775	368	6	1	1	NUM
ijassa-775	369	1	+	+	NUM
ijassa-775	369	2	θ	θ	NOUN
ijassa-775	370	1	+	+	CCONJ
ijassa-775	370	2	1	1	NUM
ijassa-775	370	3	1	1	NUM
ijassa-775	370	4	+	+	NUM
ijassa-775	370	5	θ	θ	NOUN
ijassa-775	370	6	µ∗2	µ∗2	NOUN
ijassa-775	370	7	∣∣∣∣	∣∣∣∣	NOUN
ijassa-775	370	8	<	<	X
ijassa-775	370	9	1	1	NUM
ijassa-775	370	10	2	2	NUM
ijassa-775	370	11	,	,	PUNCT
ijassa-775	370	12	which	which	PRON
ijassa-775	370	13	is	be	AUX
ijassa-775	370	14	equivalent	equivalent	ADJ
ijassa-775	370	15	to−1	to−1	NOUN
ijassa-775	370	16	3	3	NUM
ijassa-775	370	17	(	(	PUNCT
ijassa-775	370	18	1	1	NUM
ijassa-775	370	19	+	+	NUM
ijassa-775	370	20	|µ∗2|	|µ∗2|	NOUN
ijassa-775	370	21	)	)	PUNCT
ijassa-775	370	22	<	<	X
ijassa-775	370	23	∆	∆	X
ijassa-775	370	24	<	<	X
ijassa-775	370	25	1	1	NUM
ijassa-775	370	26	+	+	NUM
ijassa-775	370	27	|µ∗2|	|µ∗2|	NOUN
ijassa-775	370	28	,	,	PUNCT
ijassa-775	370	29	or	or	CCONJ
ijassa-775	370	30	θ	θ	PROPN
ijassa-775	370	31	∈	∈	PROPN
ijassa-775	370	32	(	(	PUNCT
ijassa-775	370	33	2	2	NUM
ijassa-775	370	34	3	3	NUM
ijassa-775	370	35	|µ∗2|	|µ∗2|	NOUN
ijassa-775	370	36	−	−	PROPN
ijassa-775	370	37	1	1	NUM
ijassa-775	370	38	3	3	NUM
ijassa-775	370	39	,	,	PUNCT
ijassa-775	370	40	2	2	NUM
ijassa-775	370	41	|µ∗2|+	|µ∗2|+	NUM
ijassa-775	370	42	1	1	NUM
ijassa-775	370	43	)	)	PUNCT
ijassa-775	370	44	.	.	PUNCT
ijassa-775	371	1	now	now	ADV
ijassa-775	371	2	,	,	PUNCT
ijassa-775	371	3	if	if	SCONJ
ijassa-775	371	4	θ	θ	PROPN
ijassa-775	371	5	<	<	X
ijassa-775	371	6	2	2	NUM
ijassa-775	371	7	3	3	NUM
ijassa-775	371	8	|µ∗2|	|µ∗2|	NOUN
ijassa-775	371	9	−	−	PROPN
ijassa-775	371	10	1	1	NUM
ijassa-775	371	11	3	3	NUM
ijassa-775	371	12	then	then	ADV
ijassa-775	371	13	2θ	2θ	NUM
ijassa-775	371	14	≤	≤	NUM
ijassa-775	371	15	2	2	NUM
ijassa-775	371	16	|µ∗2|+	|µ∗2|+	NUM
ijassa-775	371	17	1	1	NUM
ijassa-775	371	18	.	.	PUNCT
ijassa-775	372	1	therefore	therefore	ADV
ijassa-775	372	2	,	,	PUNCT
ijassa-775	372	3	choosing	choose	VERB
ijassa-775	372	4	θ	θ	X
ijassa-775	372	5	=	=	SYM
ijassa-775	372	6	2k	2k	NUM
ijassa-775	372	7	subsequently	subsequently	ADV
ijassa-775	372	8	for	for	ADP
ijassa-775	372	9	k	k	PROPN
ijassa-775	372	10	=	=	SYM
ijassa-775	372	11	1	1	NUM
ijassa-775	372	12	,	,	PUNCT
ijassa-775	372	13	2	2	NUM
ijassa-775	372	14	,	,	PUNCT
ijassa-775	372	15	...	...	PUNCT
ijassa-775	372	16	we	we	PRON
ijassa-775	372	17	are	be	AUX
ijassa-775	372	18	sure	sure	ADJ
ijassa-775	372	19	that	that	SCONJ
ijassa-775	372	20	for	for	ADP
ijassa-775	372	21	some	some	PRON
ijassa-775	372	22	k	k	NOUN
ijassa-775	372	23	we	we	PRON
ijassa-775	372	24	get	get	VERB
ijassa-775	372	25	θ	θ	PROPN
ijassa-775	372	26	∈	∈	PROPN
ijassa-775	372	27	(	(	PUNCT
ijassa-775	372	28	2	2	NUM
ijassa-775	372	29	3	3	NUM
ijassa-775	372	30	|µ∗2|	|µ∗2|	NOUN
ijassa-775	372	31	−	−	PROPN
ijassa-775	372	32	1	1	NUM
ijassa-775	372	33	3	3	NUM
ijassa-775	372	34	,	,	PUNCT
ijassa-775	372	35	2	2	NUM
ijassa-775	372	36	|µ∗2|+	|µ∗2|+	NUM
ijassa-775	372	37	1	1	NUM
ijassa-775	372	38	)	)	PUNCT
ijassa-775	372	39	,	,	PUNCT
ijassa-775	372	40	then	then	ADV
ijassa-775	372	41	the	the	DET
ijassa-775	372	42	condition	condition	NOUN
ijassa-775	372	43	(	(	PUNCT
ijassa-775	372	44	5.7	5.7	NUM
ijassa-775	372	45	)	)	PUNCT
ijassa-775	372	46	will	will	AUX
ijassa-775	372	47	be	be	AUX
ijassa-775	372	48	satisfied	satisfied	ADJ
ijassa-775	372	49	.	.	PUNCT
ijassa-775	373	1	thus	thus	ADV
ijassa-775	373	2	,	,	PUNCT
ijassa-775	373	3	the	the	DET
ijassa-775	373	4	grid	grid	NOUN
ijassa-775	373	5	for	for	ADP
ijassa-775	373	6	sorting	sort	VERB
ijassa-775	373	7	parameter	parameter	NOUN
ijassa-775	373	8	θ	θ	PROPN
ijassa-775	373	9	should	should	AUX
ijassa-775	373	10	be	be	AUX
ijassa-775	373	11	chosen	choose	VERB
ijassa-775	373	12	rather	rather	ADV
ijassa-775	373	13	coarse	coarse	ADJ
ijassa-775	373	14	.	.	PUNCT
ijassa-775	374	1	this	this	PRON
ijassa-775	374	2	justifies	justify	VERB
ijassa-775	374	3	the	the	DET
ijassa-775	374	4	procedure	procedure	NOUN
ijassa-775	374	5	we	we	PRON
ijassa-775	374	6	used	use	VERB
ijassa-775	374	7	in	in	ADP
ijassa-775	374	8	our	our	PRON
ijassa-775	374	9	examples	example	NOUN
ijassa-775	374	10	:	:	PUNCT
ijassa-775	374	11	running	run	VERB
ijassa-775	374	12	(	(	PUNCT
ijassa-775	374	13	5.6	5.6	NUM
ijassa-775	374	14	)	)	PUNCT
ijassa-775	374	15	with	with	ADP
ijassa-775	374	16	small	small	ADJ
ijassa-775	374	17	values	value	NOUN
ijassa-775	374	18	for	for	ADP
ijassa-775	374	19	θ	θ	PROPN
ijassa-775	374	20	and	and	CCONJ
ijassa-775	374	21	then	then	ADV
ijassa-775	374	22	doubling	double	VERB
ijassa-775	374	23	them	they	PRON
ijassa-775	374	24	until	until	ADP
ijassa-775	374	25	obtaining	obtain	VERB
ijassa-775	374	26	required	require	VERB
ijassa-775	374	27	cycles	cycle	NOUN
ijassa-775	374	28	.	.	PUNCT
ijassa-775	375	1	to	to	ADP
ijassa-775	375	2	our	our	PRON
ijassa-775	375	3	surprise	surprise	NOUN
ijassa-775	375	4	,	,	PUNCT
ijassa-775	375	5	the	the	DET
ijassa-775	375	6	procedure	procedure	NOUN
ijassa-775	375	7	turns	turn	VERB
ijassa-775	375	8	out	out	ADP
ijassa-775	375	9	to	to	PART
ijassa-775	375	10	be	be	AUX
ijassa-775	375	11	copyright	copyright	NOUN
ijassa-775	375	12	c	c	ADP
ijassa-775	375	13	©	©	PROPN
ijassa-775	375	14	2020	2020	NUM
ijassa-775	375	15	assa	assa	NOUN
ijassa-775	375	16	.	.	PUNCT
ijassa-775	376	1	adv	adv	PROPN
ijassa-775	376	2	syst	syst	PROPN
ijassa-775	376	3	sci	sci	PROPN
ijassa-775	376	4	appl	appl	PROPN
ijassa-775	376	5	(	(	PUNCT
ijassa-775	376	6	2020	2020	NUM
ijassa-775	376	7	)	)	PUNCT
ijassa-775	376	8	38	38	NUM
ijassa-775	376	9	d.	d.	NOUN
ijassa-775	376	10	dmitrishin	dmitrishin	PROPN
ijassa-775	376	11	,	,	PUNCT
ijassa-775	376	12	e.	e.	PROPN
ijassa-775	376	13	iacob	iacob	PROPN
ijassa-775	376	14	,	,	PUNCT
ijassa-775	376	15	a.	a.	NOUN
ijassa-775	376	16	stokolos	stokolos	PROPN
ijassa-775	376	17	quite	quite	ADV
ijassa-775	376	18	efficient	efficient	ADJ
ijassa-775	376	19	.	.	PUNCT
ijassa-775	377	1	however	however	ADV
ijassa-775	377	2	,	,	PUNCT
ijassa-775	377	3	this	this	DET
ijassa-775	377	4	idea	idea	NOUN
ijassa-775	377	5	has	have	AUX
ijassa-775	377	6	been	be	AUX
ijassa-775	377	7	successfully	successfully	ADV
ijassa-775	377	8	used	use	VERB
ijassa-775	377	9	recently	recently	ADV
ijassa-775	377	10	in	in	ADP
ijassa-775	377	11	adaptive	adaptive	ADJ
ijassa-775	377	12	interiorpoint	interiorpoint	NOUN
ijassa-775	377	13	methods	method	NOUN
ijassa-775	377	14	by	by	ADP
ijassa-775	377	15	lesaja	lesaja	NOUN
ijassa-775	377	16	and	and	CCONJ
ijassa-775	377	17	potra	potra	VERB
ijassa-775	377	18	[	[	X
ijassa-775	377	19	18	18	NUM
ijassa-775	377	20	]	]	PUNCT
ijassa-775	377	21	.	.	PUNCT
ijassa-775	378	1	therefore	therefore	ADV
ijassa-775	378	2	,	,	PUNCT
ijassa-775	378	3	the	the	DET
ijassa-775	378	4	scheme	scheme	NOUN
ijassa-775	378	5	(	(	PUNCT
ijassa-775	378	6	5.6	5.6	NUM
ijassa-775	378	7	)	)	PUNCT
ijassa-775	378	8	allows	allow	VERB
ijassa-775	378	9	finding	find	VERB
ijassa-775	378	10	cycles	cycle	NOUN
ijassa-775	378	11	both	both	CCONJ
ijassa-775	378	12	with	with	ADP
ijassa-775	378	13	small	small	ADJ
ijassa-775	378	14	multipliers	multiplier	NOUN
ijassa-775	378	15	and	and	CCONJ
ijassa-775	378	16	with	with	ADP
ijassa-775	378	17	large	large	ADJ
ijassa-775	378	18	ones	one	NOUN
ijassa-775	378	19	.	.	PUNCT
ijassa-775	379	1	in	in	ADP
ijassa-775	379	2	general	general	ADJ
ijassa-775	379	3	,	,	PUNCT
ijassa-775	379	4	the	the	DET
ijassa-775	379	5	large	large	ADJ
ijassa-775	379	6	value	value	NOUN
ijassa-775	379	7	of	of	ADP
ijassa-775	379	8	multipliers	multiplier	NOUN
ijassa-775	379	9	is	be	AUX
ijassa-775	379	10	not	not	PART
ijassa-775	379	11	the	the	DET
ijassa-775	379	12	main	main	ADJ
ijassa-775	379	13	obstacle	obstacle	NOUN
ijassa-775	379	14	.	.	PUNCT
ijassa-775	380	1	more	more	ADV
ijassa-775	380	2	challenging	challenging	ADJ
ijassa-775	380	3	is	be	AUX
ijassa-775	380	4	the	the	DET
ijassa-775	380	5	problem	problem	NOUN
ijassa-775	380	6	of	of	ADP
ijassa-775	380	7	small	small	ADJ
ijassa-775	380	8	basins	basin	NOUN
ijassa-775	380	9	of	of	ADP
ijassa-775	380	10	attraction	attraction	NOUN
ijassa-775	380	11	for	for	ADP
ijassa-775	380	12	long	long	ADJ
ijassa-775	380	13	cycles	cycle	NOUN
ijassa-775	380	14	.	.	PUNCT
ijassa-775	381	1	therefore	therefore	ADV
ijassa-775	381	2	,	,	PUNCT
ijassa-775	381	3	it	it	PRON
ijassa-775	381	4	is	be	AUX
ijassa-775	381	5	convenient	convenient	ADJ
ijassa-775	381	6	to	to	PART
ijassa-775	381	7	either	either	CCONJ
ijassa-775	381	8	select	select	VERB
ijassa-775	381	9	a	a	DET
ijassa-775	381	10	dense	dense	ADJ
ijassa-775	381	11	grid	grid	NOUN
ijassa-775	381	12	for	for	ADP
ijassa-775	381	13	initial	initial	ADJ
ijassa-775	381	14	values	value	NOUN
ijassa-775	381	15	or	or	CCONJ
ijassa-775	381	16	use	use	VERB
ijassa-775	381	17	a	a	DET
ijassa-775	381	18	sufficiently	sufficiently	ADV
ijassa-775	381	19	large	large	ADJ
ijassa-775	381	20	number	number	NOUN
ijassa-775	381	21	of	of	ADP
ijassa-775	381	22	iterations	iteration	NOUN
ijassa-775	381	23	so	so	SCONJ
ijassa-775	381	24	that	that	SCONJ
ijassa-775	381	25	the	the	DET
ijassa-775	381	26	point	point	NOUN
ijassa-775	381	27	xn	xn	PUNCT
ijassa-775	381	28	would	would	AUX
ijassa-775	381	29	fall	fall	VERB
ijassa-775	381	30	into	into	ADP
ijassa-775	381	31	the	the	DET
ijassa-775	381	32	desired	desire	VERB
ijassa-775	381	33	basin	basin	NOUN
ijassa-775	381	34	of	of	ADP
ijassa-775	381	35	attraction	attraction	NOUN
ijassa-775	381	36	.	.	PUNCT
ijassa-775	382	1	one	one	PRON
ijassa-775	382	2	can	can	AUX
ijassa-775	382	3	achieve	achieve	VERB
ijassa-775	382	4	any	any	DET
ijassa-775	382	5	acceptable	acceptable	ADJ
ijassa-775	382	6	accuracy	accuracy	NOUN
ijassa-775	382	7	in	in	ADP
ijassa-775	382	8	determining	determine	VERB
ijassa-775	382	9	the	the	DET
ijassa-775	382	10	cyclic	cyclic	ADJ
ijassa-775	382	11	point	point	NOUN
ijassa-775	382	12	.	.	PUNCT
ijassa-775	383	1	we	we	PRON
ijassa-775	383	2	have	have	AUX
ijassa-775	383	3	experimented	experiment	VERB
ijassa-775	383	4	with	with	ADP
ijassa-775	383	5	various	various	ADJ
ijassa-775	383	6	number	number	NOUN
ijassa-775	383	7	of	of	ADP
ijassa-775	383	8	cycles	cycle	NOUN
ijassa-775	383	9	(	(	PUNCT
ijassa-775	383	10	28	28	NUM
ijassa-775	383	11	,	,	PUNCT
ijassa-775	383	12	50	50	NUM
ijassa-775	383	13	,	,	PUNCT
ijassa-775	383	14	101	101	NUM
ijassa-775	383	15	,	,	PUNCT
ijassa-775	383	16	etc	etc	X
ijassa-775	383	17	.	.	X
ijassa-775	383	18	)	)	PUNCT
ijassa-775	383	19	using	use	VERB
ijassa-775	383	20	maple	maple	NOUN
ijassa-775	383	21	and	and	CCONJ
ijassa-775	383	22	python	python	NOUN
ijassa-775	383	23	.	.	PUNCT
ijassa-775	384	1	all	all	DET
ijassa-775	384	2	the	the	DET
ijassa-775	384	3	results	result	NOUN
ijassa-775	384	4	we	we	PRON
ijassa-775	384	5	include	include	VERB
ijassa-775	384	6	in	in	ADP
ijassa-775	384	7	the	the	DET
ijassa-775	384	8	subsequent	subsequent	ADJ
ijassa-775	384	9	subsections	subsection	NOUN
ijassa-775	384	10	are	be	AUX
ijassa-775	384	11	for	for	ADP
ijassa-775	384	12	t	t	NOUN
ijassa-775	384	13	=	=	SYM
ijassa-775	384	14	101	101	NUM
ijassa-775	384	15	(	(	PUNCT
ijassa-775	384	16	sections	section	NOUN
ijassa-775	384	17	5.1–5.13	5.1–5.13	NUM
ijassa-775	384	18	)	)	PUNCT
ijassa-775	384	19	,	,	PUNCT
ijassa-775	384	20	with	with	ADP
ijassa-775	384	21	a	a	DET
ijassa-775	384	22	precision	precision	NOUN
ijassa-775	384	23	of	of	ADP
ijassa-775	384	24	250	250	NUM
ijassa-775	384	25	decimals	decimal	NOUN
ijassa-775	384	26	.	.	PUNCT
ijassa-775	385	1	more	more	ADJ
ijassa-775	385	2	results	result	NOUN
ijassa-775	385	3	,	,	PUNCT
ijassa-775	385	4	including	include	VERB
ijassa-775	385	5	the	the	DET
ijassa-775	385	6	python	python	PROPN
ijassa-775	385	7	code	code	NOUN
ijassa-775	385	8	to	to	PART
ijassa-775	385	9	replicate	replicate	VERB
ijassa-775	385	10	the	the	DET
ijassa-775	385	11	results	result	NOUN
ijassa-775	385	12	,	,	PUNCT
ijassa-775	385	13	can	can	AUX
ijassa-775	385	14	be	be	AUX
ijassa-775	385	15	found	find	VERB
ijassa-775	385	16	in	in	ADP
ijassa-775	385	17	[	[	X
ijassa-775	385	18	10	10	NUM
ijassa-775	385	19	]	]	PUNCT
ijassa-775	385	20	.	.	PUNCT
ijassa-775	386	1	5.1	5.1	NUM
ijassa-775	386	2	.	.	PUNCT
ijassa-775	387	1	logistic	logistic	ADJ
ijassa-775	387	2	mapping	mapping	NOUN
ijassa-775	387	3	the	the	DET
ijassa-775	387	4	logistic	logistic	ADJ
ijassa-775	387	5	mapping	mapping	NOUN
ijassa-775	387	6	xn+1	xn+1	NOUN
ijassa-775	387	7	=	=	SYM
ijassa-775	387	8	hxn	hxn	NOUN
ijassa-775	387	9	(	(	PUNCT
ijassa-775	387	10	1−	1−	NUM
ijassa-775	387	11	xn	xn	NUM
ijassa-775	387	12	)	)	PUNCT
ijassa-775	387	13	,	,	PUNCT
ijassa-775	387	14	(	(	PUNCT
ijassa-775	387	15	5.8	5.8	NUM
ijassa-775	387	16	)	)	PUNCT
ijassa-775	387	17	is	be	AUX
ijassa-775	387	18	,	,	PUNCT
ijassa-775	387	19	perhaps	perhaps	ADV
ijassa-775	387	20	,	,	PUNCT
ijassa-775	387	21	the	the	DET
ijassa-775	387	22	most	most	ADV
ijassa-775	387	23	popular	popular	ADJ
ijassa-775	387	24	example	example	NOUN
ijassa-775	387	25	.	.	PUNCT
ijassa-775	388	1	let	let	VERB
ijassa-775	388	2	us	we	PRON
ijassa-775	388	3	consider	consider	VERB
ijassa-775	388	4	the	the	DET
ijassa-775	388	5	case	case	NOUN
ijassa-775	388	6	h	h	NOUN
ijassa-775	389	1	=	=	NOUN
ijassa-775	389	2	3.99	3.99	NUM
ijassa-775	389	3	,	,	PUNCT
ijassa-775	389	4	t	t	PROPN
ijassa-775	390	1	=	=	SYM
ijassa-775	390	2	101	101	NUM
ijassa-775	390	3	.	.	PUNCT
ijassa-775	391	1	figure	figure	VERB
ijassa-775	391	2	5.1	5.1	NUM
ijassa-775	391	3	illustrates	illustrate	VERB
ijassa-775	391	4	one	one	NUM
ijassa-775	391	5	of	of	ADP
ijassa-775	391	6	its	its	PRON
ijassa-775	391	7	numerous	numerous	ADJ
ijassa-775	391	8	t	t	NOUN
ijassa-775	391	9	=	=	SYM
ijassa-775	391	10	101	101	NUM
ijassa-775	391	11	-	-	PUNCT
ijassa-775	391	12	cycles	cycle	NOUN
ijassa-775	391	13	.	.	PUNCT
ijassa-775	392	1	fig	fig	NOUN
ijassa-775	392	2	.	.	PUNCT
ijassa-775	393	1	5.1	5.1	NUM
ijassa-775	393	2	.	.	PUNCT
ijassa-775	394	1	a	a	DET
ijassa-775	394	2	101	101	NUM
ijassa-775	394	3	-	-	PUNCT
ijassa-775	394	4	cycle	cycle	NOUN
ijassa-775	394	5	of	of	ADP
ijassa-775	394	6	the	the	DET
ijassa-775	394	7	logistic	logistic	ADJ
ijassa-775	394	8	mapping	mapping	NOUN
ijassa-775	394	9	(	(	PUNCT
ijassa-775	394	10	5.8	5.8	NUM
ijassa-775	394	11	)	)	PUNCT
ijassa-775	394	12	.	.	PUNCT
ijassa-775	395	1	copyright	copyright	NOUN
ijassa-775	395	2	c	c	ADP
ijassa-775	395	3	©	©	PROPN
ijassa-775	395	4	2020	2020	NUM
ijassa-775	395	5	assa	assa	NOUN
ijassa-775	395	6	.	.	PUNCT
ijassa-775	396	1	adv	adv	PROPN
ijassa-775	396	2	syst	syst	PROPN
ijassa-775	396	3	sci	sci	PROPN
ijassa-775	396	4	appl	appl	PROPN
ijassa-775	396	5	(	(	PUNCT
ijassa-775	396	6	2020	2020	NUM
ijassa-775	396	7	)	)	PUNCT
ijassa-775	396	8	average	average	ADJ
ijassa-775	396	9	predictive	predictive	ADJ
ijassa-775	396	10	control	control	NOUN
ijassa-775	396	11	39	39	NUM
ijassa-775	396	12	5.2	5.2	NUM
ijassa-775	396	13	.	.	PUNCT
ijassa-775	397	1	triangular	triangular	NOUN
ijassa-775	397	2	mapping	map	VERB
ijassa-775	397	3	our	our	PRON
ijassa-775	397	4	next	next	ADJ
ijassa-775	397	5	example	example	NOUN
ijassa-775	397	6	is	be	AUX
ijassa-775	397	7	the	the	DET
ijassa-775	397	8	triangular	triangular	NOUN
ijassa-775	397	9	mapping	mapping	NOUN
ijassa-775	397	10	:	:	PUNCT
ijassa-775	397	11	xn+1	xn+1	NUM
ijassa-775	397	12	=	=	SYM
ijassa-775	397	13	h	h	NOUN
ijassa-775	397	14	(	(	PUNCT
ijassa-775	397	15	1−	1−	NUM
ijassa-775	397	16	|2xn	|2xn	PROPN
ijassa-775	397	17	−	−	NOUN
ijassa-775	397	18	1|	1|	NUM
ijassa-775	397	19	)	)	PUNCT
ijassa-775	397	20	,	,	PUNCT
ijassa-775	397	21	h	h	NOUN
ijassa-775	397	22	=	=	NOUN
ijassa-775	397	23	0.99	0.99	NUM
ijassa-775	397	24	.	.	PUNCT
ijassa-775	398	1	(	(	PUNCT
ijassa-775	398	2	5.9	5.9	NUM
ijassa-775	398	3	)	)	PUNCT
ijassa-775	398	4	figure	figure	NOUN
ijassa-775	398	5	5.2	5.2	NUM
ijassa-775	398	6	shows	show	VERB
ijassa-775	398	7	a	a	DET
ijassa-775	398	8	t	t	NOUN
ijassa-775	398	9	=	=	SYM
ijassa-775	398	10	101	101	NUM
ijassa-775	398	11	-	-	PUNCT
ijassa-775	398	12	cyclic	cyclic	NOUN
ijassa-775	398	13	point	point	NOUN
ijassa-775	398	14	.	.	PUNCT
ijassa-775	399	1	fig	fig	NOUN
ijassa-775	399	2	.	.	PUNCT
ijassa-775	400	1	5.2	5.2	NUM
ijassa-775	400	2	.	.	PUNCT
ijassa-775	401	1	a	a	DET
ijassa-775	401	2	101	101	NUM
ijassa-775	401	3	-	-	PUNCT
ijassa-775	401	4	cycle	cycle	NOUN
ijassa-775	401	5	of	of	ADP
ijassa-775	401	6	triangular	triangular	NOUN
ijassa-775	401	7	system	system	NOUN
ijassa-775	401	8	(	(	PUNCT
ijassa-775	401	9	5.9	5.9	NUM
ijassa-775	401	10	)	)	PUNCT
ijassa-775	401	11	.	.	PUNCT
ijassa-775	402	1	5.3	5.3	NUM
ijassa-775	402	2	.	.	PUNCT
ijassa-775	402	3	burgers	burger	NOUN
ijassa-775	402	4	mapping	mapping	NOUN
ijassa-775	402	5	for	for	ADP
ijassa-775	402	6	the	the	DET
ijassa-775	402	7	burgers	burger	NOUN
ijassa-775	402	8	mapping	mapping	NOUN
ijassa-775	402	9	:	:	PUNCT
ijassa-775	402	10	xn+1	xn+1	NUM
ijassa-775	403	1	=	=	PUNCT
ijassa-775	403	2	axn	axn	PROPN
ijassa-775	403	3	−	−	PROPN
ijassa-775	403	4	y2n	y2n	PROPN
ijassa-775	403	5	,	,	PUNCT
ijassa-775	403	6	yn+1	yn+1	PROPN
ijassa-775	403	7	=	=	SYM
ijassa-775	403	8	byn	byn	PROPN
ijassa-775	404	1	+	+	CCONJ
ijassa-775	404	2	xnyn	xnyn	PROPN
ijassa-775	404	3	,	,	PUNCT
ijassa-775	404	4	a	a	DET
ijassa-775	404	5	=	=	NOUN
ijassa-775	404	6	0.75	0.75	NUM
ijassa-775	404	7	,	,	PUNCT
ijassa-775	404	8	b	b	X
ijassa-775	404	9	=	=	SYM
ijassa-775	404	10	1.75	1.75	NUM
ijassa-775	404	11	(	(	PUNCT
ijassa-775	404	12	5.10	5.10	NUM
ijassa-775	404	13	)	)	PUNCT
ijassa-775	404	14	a	a	DET
ijassa-775	404	15	101	101	NUM
ijassa-775	404	16	-	-	PUNCT
ijassa-775	404	17	cyclic	cyclic	NOUN
ijassa-775	404	18	point	point	NOUN
ijassa-775	404	19	is	be	AUX
ijassa-775	404	20	illustrated	illustrate	VERB
ijassa-775	404	21	in	in	ADP
ijassa-775	404	22	figure	figure	NOUN
ijassa-775	404	23	5.3	5.3	NUM
ijassa-775	404	24	.	.	PUNCT
ijassa-775	405	1	5.4	5.4	NUM
ijassa-775	405	2	.	.	PUNCT
ijassa-775	406	1	tinkerbell	tinkerbell	PROPN
ijassa-775	406	2	mapping	map	VERB
ijassa-775	406	3	the	the	DET
ijassa-775	406	4	tinkerbell	tinkerbell	PROPN
ijassa-775	406	5	mapping	mapping	NOUN
ijassa-775	406	6	:	:	PUNCT
ijassa-775	406	7	xn+1	xn+1	PROPN
ijassa-775	407	1	=	=	PUNCT
ijassa-775	408	1	x2n	x2n	ADP
ijassa-775	408	2	−	−	PROPN
ijassa-775	409	1	y2n	y2n	NOUN
ijassa-775	409	2	+	+	NUM
ijassa-775	409	3	axn	axn	PROPN
ijassa-775	409	4	+	+	CCONJ
ijassa-775	409	5	byn	byn	PROPN
ijassa-775	409	6	,	,	PUNCT
ijassa-775	409	7	yn+1	yn+1	X
ijassa-775	409	8	=	=	SYM
ijassa-775	409	9	2xnyn	2xnyn	NUM
ijassa-775	409	10	+	+	CCONJ
ijassa-775	409	11	cxn	cxn	VERB
ijassa-775	409	12	+	+	CCONJ
ijassa-775	409	13	dyn	dyn	NOUN
ijassa-775	409	14	,	,	PUNCT
ijassa-775	409	15	a	a	DET
ijassa-775	409	16	=	=	SYM
ijassa-775	409	17	0.9	0.9	NUM
ijassa-775	409	18	,	,	PUNCT
ijassa-775	409	19	b	b	NOUN
ijassa-775	409	20	=	=	SYM
ijassa-775	409	21	−0.6	−0.6	PROPN
ijassa-775	409	22	,	,	PUNCT
ijassa-775	409	23	c	c	NOUN
ijassa-775	409	24	=	=	SYM
ijassa-775	409	25	2.0	2.0	NUM
ijassa-775	409	26	,	,	PUNCT
ijassa-775	409	27	d	d	X
ijassa-775	409	28	=	=	SYM
ijassa-775	409	29	0.5	0.5	NUM
ijassa-775	409	30	(	(	PUNCT
ijassa-775	409	31	5.11	5.11	NUM
ijassa-775	409	32	)	)	PUNCT
ijassa-775	409	33	has	have	VERB
ijassa-775	409	34	a	a	DET
ijassa-775	409	35	101	101	NUM
ijassa-775	409	36	-	-	PUNCT
ijassa-775	409	37	cyclic	cyclic	NOUN
ijassa-775	409	38	point	point	NOUN
ijassa-775	409	39	illustrated	illustrate	VERB
ijassa-775	409	40	in	in	ADP
ijassa-775	409	41	figure	figure	NOUN
ijassa-775	409	42	5.4	5.4	NUM
ijassa-775	409	43	.	.	PUNCT
ijassa-775	410	1	copyright	copyright	NOUN
ijassa-775	410	2	c	c	ADP
ijassa-775	410	3	©	©	PROPN
ijassa-775	410	4	2020	2020	NUM
ijassa-775	410	5	assa	assa	NOUN
ijassa-775	410	6	.	.	PUNCT
ijassa-775	411	1	adv	adv	PROPN
ijassa-775	411	2	syst	syst	PROPN
ijassa-775	411	3	sci	sci	PROPN
ijassa-775	411	4	appl	appl	PROPN
ijassa-775	411	5	(	(	PUNCT
ijassa-775	411	6	2020	2020	NUM
ijassa-775	411	7	)	)	PUNCT
ijassa-775	411	8	40	40	NUM
ijassa-775	411	9	d.	d.	NOUN
ijassa-775	411	10	dmitrishin	dmitrishin	PROPN
ijassa-775	411	11	,	,	PUNCT
ijassa-775	411	12	e.	e.	PROPN
ijassa-775	411	13	iacob	iacob	PROPN
ijassa-775	411	14	,	,	PUNCT
ijassa-775	411	15	a.	a.	PROPN
ijassa-775	411	16	stokolos	stokolos	PROPN
ijassa-775	411	17	fig	fig	PROPN
ijassa-775	411	18	.	.	PUNCT
ijassa-775	412	1	5.3	5.3	NUM
ijassa-775	412	2	.	.	PUNCT
ijassa-775	413	1	a	a	DET
ijassa-775	413	2	101	101	NUM
ijassa-775	413	3	-	-	PUNCT
ijassa-775	413	4	cycle	cycle	NOUN
ijassa-775	413	5	of	of	ADP
ijassa-775	413	6	the	the	DET
ijassa-775	413	7	burgers	burger	NOUN
ijassa-775	413	8	system	system	NOUN
ijassa-775	413	9	(	(	PUNCT
ijassa-775	413	10	5.10	5.10	NUM
ijassa-775	413	11	)	)	PUNCT
ijassa-775	413	12	.	.	PUNCT
ijassa-775	414	1	fig	fig	NOUN
ijassa-775	414	2	.	.	PUNCT
ijassa-775	415	1	5.4	5.4	NUM
ijassa-775	415	2	.	.	PUNCT
ijassa-775	416	1	a	a	DET
ijassa-775	416	2	101	101	NUM
ijassa-775	416	3	-	-	PUNCT
ijassa-775	416	4	cycle	cycle	NOUN
ijassa-775	416	5	of	of	ADP
ijassa-775	416	6	the	the	DET
ijassa-775	416	7	tinkerbell	tinkerbell	PROPN
ijassa-775	416	8	mapping	mapping	NOUN
ijassa-775	416	9	(	(	PUNCT
ijassa-775	416	10	5.11	5.11	NUM
ijassa-775	416	11	)	)	PUNCT
ijassa-775	416	12	.	.	PUNCT
ijassa-775	417	1	copyright	copyright	NOUN
ijassa-775	417	2	c	c	ADP
ijassa-775	417	3	©	©	PROPN
ijassa-775	417	4	2020	2020	NUM
ijassa-775	417	5	assa	assa	NOUN
ijassa-775	417	6	.	.	PUNCT
ijassa-775	418	1	adv	adv	PROPN
ijassa-775	418	2	syst	syst	PROPN
ijassa-775	418	3	sci	sci	PROPN
ijassa-775	418	4	appl	appl	PROPN
ijassa-775	418	5	(	(	PUNCT
ijassa-775	418	6	2020	2020	NUM
ijassa-775	418	7	)	)	PUNCT
ijassa-775	418	8	average	average	ADJ
ijassa-775	418	9	predictive	predictive	ADJ
ijassa-775	418	10	control	control	NOUN
ijassa-775	418	11	41	41	NUM
ijassa-775	418	12	5.5	5.5	NUM
ijassa-775	418	13	.	.	PUNCT
ijassa-775	419	1	gingerbredman	gingerbredman	NOUN
ijassa-775	419	2	mapping	map	VERB
ijassa-775	419	3	the	the	DET
ijassa-775	419	4	gingerbredman	gingerbredman	NOUN
ijassa-775	419	5	mapping	mapping	NOUN
ijassa-775	419	6	:	:	PUNCT
ijassa-775	419	7	xn+1	xn+1	NUM
ijassa-775	420	1	=	=	SYM
ijassa-775	420	2	1	1	NUM
ijassa-775	420	3	+	+	NUM
ijassa-775	420	4	|xn|	|xn|	PROPN
ijassa-775	420	5	−	−	PROPN
ijassa-775	420	6	yn	yn	PROPN
ijassa-775	420	7	,	,	PUNCT
ijassa-775	420	8	yn+1	yn+1	PROPN
ijassa-775	420	9	=	=	SYM
ijassa-775	420	10	xn	xn	PROPN
ijassa-775	420	11	(	(	PUNCT
ijassa-775	420	12	5.12	5.12	NUM
ijassa-775	420	13	)	)	PUNCT
ijassa-775	420	14	has	have	VERB
ijassa-775	420	15	a	a	DET
ijassa-775	420	16	101	101	NUM
ijassa-775	420	17	-	-	PUNCT
ijassa-775	420	18	cyclic	cyclic	NOUN
ijassa-775	420	19	point	point	NOUN
ijassa-775	420	20	represented	represent	VERB
ijassa-775	420	21	in	in	ADP
ijassa-775	420	22	figure	figure	NOUN
ijassa-775	420	23	5.5	5.5	NUM
ijassa-775	420	24	.	.	PUNCT
ijassa-775	420	25	fig	fig	NOUN
ijassa-775	420	26	.	.	PUNCT
ijassa-775	421	1	5.5	5.5	NUM
ijassa-775	421	2	.	.	PUNCT
ijassa-775	422	1	a	a	DET
ijassa-775	422	2	101	101	NUM
ijassa-775	422	3	-	-	PUNCT
ijassa-775	422	4	cycle	cycle	NOUN
ijassa-775	422	5	of	of	ADP
ijassa-775	422	6	the	the	DET
ijassa-775	422	7	gingerbredman	gingerbredman	NOUN
ijassa-775	422	8	mapping	mapping	NOUN
ijassa-775	422	9	(	(	PUNCT
ijassa-775	422	10	5.12	5.12	NUM
ijassa-775	422	11	)	)	PUNCT
ijassa-775	422	12	.	.	PUNCT
ijassa-775	423	1	5.6	5.6	NUM
ijassa-775	423	2	.	.	X
ijassa-775	423	3	prey	prey	NOUN
ijassa-775	423	4	-	-	PUNCT
ijassa-775	423	5	predator	predator	NOUN
ijassa-775	423	6	mapping	mapping	NOUN
ijassa-775	423	7	for	for	ADP
ijassa-775	423	8	the	the	DET
ijassa-775	423	9	prey	prey	NOUN
ijassa-775	423	10	-	-	PUNCT
ijassa-775	423	11	predator	predator	NOUN
ijassa-775	423	12	mapping	mapping	NOUN
ijassa-775	423	13	:	:	PUNCT
ijassa-775	423	14	xn+1	xn+1	NUM
ijassa-775	423	15	=	=	SYM
ijassa-775	423	16	xn	xn	PROPN
ijassa-775	423	17	exp	exp	NOUN
ijassa-775	423	18	(	(	PUNCT
ijassa-775	423	19	a	a	DET
ijassa-775	423	20	(	(	PUNCT
ijassa-775	423	21	1−	1−	NUM
ijassa-775	423	22	xn)−	xn)−	NUM
ijassa-775	423	23	byn	byn	PROPN
ijassa-775	423	24	)	)	PUNCT
ijassa-775	423	25	,	,	PUNCT
ijassa-775	423	26	yn+1	yn+1	X
ijassa-775	423	27	=	=	SYM
ijassa-775	423	28	xn	xn	PROPN
ijassa-775	423	29	(	(	PUNCT
ijassa-775	423	30	1−	1−	NUM
ijassa-775	423	31	exp	exp	NOUN
ijassa-775	423	32	(	(	PUNCT
ijassa-775	423	33	−cyn	−cyn	NOUN
ijassa-775	423	34	)	)	PUNCT
ijassa-775	423	35	)	)	PUNCT
ijassa-775	423	36	,	,	PUNCT
ijassa-775	423	37	a	a	DET
ijassa-775	423	38	=	=	SYM
ijassa-775	423	39	3	3	NUM
ijassa-775	423	40	,	,	PUNCT
ijassa-775	423	41	b	b	NOUN
ijassa-775	423	42	=	=	SYM
ijassa-775	423	43	5	5	NUM
ijassa-775	423	44	,	,	PUNCT
ijassa-775	423	45	c	c	NOUN
ijassa-775	423	46	=	=	SYM
ijassa-775	423	47	5	5	NUM
ijassa-775	423	48	(	(	PUNCT
ijassa-775	423	49	5.13	5.13	NUM
ijassa-775	423	50	)	)	PUNCT
ijassa-775	423	51	a	a	DET
ijassa-775	423	52	corresponding	correspond	VERB
ijassa-775	423	53	101	101	NUM
ijassa-775	423	54	-	-	PUNCT
ijassa-775	423	55	cyclic	cyclic	NOUN
ijassa-775	423	56	point	point	NOUN
ijassa-775	423	57	is	be	AUX
ijassa-775	423	58	illustrated	illustrate	VERB
ijassa-775	423	59	in	in	ADP
ijassa-775	423	60	figure	figure	NOUN
ijassa-775	423	61	5.6	5.6	NUM
ijassa-775	423	62	.	.	PUNCT
ijassa-775	424	1	5.7	5.7	NUM
ijassa-775	424	2	.	.	PUNCT
ijassa-775	424	3	delayed	delay	VERB
ijassa-775	424	4	logistic	logistic	ADJ
ijassa-775	424	5	mapping	mapping	NOUN
ijassa-775	424	6	figure	figure	NOUN
ijassa-775	424	7	5.7	5.7	NUM
ijassa-775	424	8	shows	show	VERB
ijassa-775	424	9	a	a	DET
ijassa-775	424	10	101	101	NUM
ijassa-775	424	11	-	-	PUNCT
ijassa-775	424	12	cyclic	cyclic	NOUN
ijassa-775	424	13	point	point	NOUN
ijassa-775	424	14	of	of	ADP
ijassa-775	424	15	the	the	DET
ijassa-775	424	16	delayed	delay	VERB
ijassa-775	424	17	logistic	logistic	ADJ
ijassa-775	424	18	mapping	mapping	NOUN
ijassa-775	424	19	:	:	PUNCT
ijassa-775	424	20	xn+1	xn+1	NUM
ijassa-775	424	21	=	=	SYM
ijassa-775	424	22	hxn	hxn	NOUN
ijassa-775	424	23	(	(	PUNCT
ijassa-775	424	24	1−	1−	NUM
ijassa-775	424	25	yn	yn	NOUN
ijassa-775	424	26	)	)	PUNCT
ijassa-775	424	27	,	,	PUNCT
ijassa-775	424	28	yn+1	yn+1	X
ijassa-775	425	1	=	=	SYM
ijassa-775	425	2	xn	xn	PROPN
ijassa-775	425	3	,	,	PUNCT
ijassa-775	425	4	h	h	NOUN
ijassa-775	425	5	=	=	SYM
ijassa-775	425	6	2.27	2.27	NUM
ijassa-775	425	7	(	(	PUNCT
ijassa-775	425	8	5.14	5.14	NUM
ijassa-775	425	9	)	)	PUNCT
ijassa-775	425	10	copyright	copyright	NOUN
ijassa-775	425	11	c	c	ADP
ijassa-775	425	12	©	©	PROPN
ijassa-775	425	13	2020	2020	NUM
ijassa-775	425	14	assa	assa	NOUN
ijassa-775	425	15	.	.	PUNCT
ijassa-775	426	1	adv	adv	PROPN
ijassa-775	426	2	syst	syst	PROPN
ijassa-775	426	3	sci	sci	PROPN
ijassa-775	426	4	appl	appl	PROPN
ijassa-775	426	5	(	(	PUNCT
ijassa-775	426	6	2020	2020	NUM
ijassa-775	426	7	)	)	PUNCT
ijassa-775	426	8	42	42	NUM
ijassa-775	426	9	d.	d.	PROPN
ijassa-775	426	10	dmitrishin	dmitrishin	PROPN
ijassa-775	426	11	,	,	PUNCT
ijassa-775	426	12	e.	e.	PROPN
ijassa-775	426	13	iacob	iacob	PROPN
ijassa-775	426	14	,	,	PUNCT
ijassa-775	426	15	a.	a.	PROPN
ijassa-775	426	16	stokolos	stokolos	PROPN
ijassa-775	426	17	fig	fig	PROPN
ijassa-775	426	18	.	.	PUNCT
ijassa-775	427	1	5.6	5.6	NUM
ijassa-775	427	2	.	.	PUNCT
ijassa-775	428	1	a	a	DET
ijassa-775	428	2	101	101	NUM
ijassa-775	428	3	-	-	PUNCT
ijassa-775	428	4	cycle	cycle	NOUN
ijassa-775	428	5	of	of	ADP
ijassa-775	428	6	the	the	DET
ijassa-775	428	7	prey	prey	NOUN
ijassa-775	428	8	-	-	PUNCT
ijassa-775	428	9	predator	predator	NOUN
ijassa-775	428	10	system	system	NOUN
ijassa-775	428	11	(	(	PUNCT
ijassa-775	428	12	5.13	5.13	NUM
ijassa-775	428	13	)	)	PUNCT
ijassa-775	428	14	.	.	PUNCT
ijassa-775	429	1	fig	fig	NOUN
ijassa-775	429	2	.	.	PUNCT
ijassa-775	430	1	5.7	5.7	NUM
ijassa-775	430	2	.	.	PUNCT
ijassa-775	431	1	a	a	DET
ijassa-775	431	2	101	101	NUM
ijassa-775	431	3	-	-	PUNCT
ijassa-775	431	4	cycle	cycle	NOUN
ijassa-775	431	5	of	of	ADP
ijassa-775	431	6	the	the	DET
ijassa-775	431	7	delayed	delay	VERB
ijassa-775	431	8	logistic	logistic	ADJ
ijassa-775	431	9	mapping	mapping	NOUN
ijassa-775	431	10	system	system	NOUN
ijassa-775	431	11	(	(	PUNCT
ijassa-775	431	12	5.14	5.14	NUM
ijassa-775	431	13	)	)	PUNCT
ijassa-775	431	14	.	.	PUNCT
ijassa-775	432	1	copyright	copyright	NOUN
ijassa-775	432	2	c	c	ADP
ijassa-775	432	3	©	©	PROPN
ijassa-775	432	4	2020	2020	NUM
ijassa-775	432	5	assa	assa	NOUN
ijassa-775	432	6	.	.	PUNCT
ijassa-775	433	1	adv	adv	PROPN
ijassa-775	433	2	syst	syst	PROPN
ijassa-775	433	3	sci	sci	PROPN
ijassa-775	433	4	appl	appl	PROPN
ijassa-775	433	5	(	(	PUNCT
ijassa-775	433	6	2020	2020	NUM
ijassa-775	433	7	)	)	PUNCT
ijassa-775	433	8	average	average	ADJ
ijassa-775	433	9	predictive	predictive	ADJ
ijassa-775	433	10	control	control	NOUN
ijassa-775	433	11	43	43	NUM
ijassa-775	433	12	5.8	5.8	NUM
ijassa-775	433	13	.	.	PUNCT
ijassa-775	434	1	hénon	hénon	NOUN
ijassa-775	434	2	mapping	map	VERB
ijassa-775	434	3	the	the	DET
ijassa-775	434	4	hénon	hénon	NOUN
ijassa-775	434	5	mapping	mapping	NOUN
ijassa-775	434	6	:	:	PUNCT
ijassa-775	434	7	xn+1	xn+1	NUM
ijassa-775	434	8	=	=	SYM
ijassa-775	434	9	1	1	NUM
ijassa-775	434	10	+	+	CCONJ
ijassa-775	434	11	ax2n	ax2n	ADV
ijassa-775	434	12	+	+	CCONJ
ijassa-775	434	13	yn	yn	PROPN
ijassa-775	434	14	,	,	PUNCT
ijassa-775	434	15	yn+1	yn+1	PROPN
ijassa-775	434	16	=	=	PUNCT
ijassa-775	434	17	bxn	bxn	PROPN
ijassa-775	434	18	,	,	PUNCT
ijassa-775	434	19	a	a	DET
ijassa-775	434	20	=	=	SYM
ijassa-775	434	21	−1.40000001	−1.40000001	PROPN
ijassa-775	434	22	,	,	PUNCT
ijassa-775	434	23	b	b	X
ijassa-775	434	24	=	=	SYM
ijassa-775	434	25	0.30000002	0.30000002	NUM
ijassa-775	434	26	(	(	PUNCT
ijassa-775	434	27	5.15	5.15	NUM
ijassa-775	434	28	)	)	PUNCT
ijassa-775	434	29	has	have	VERB
ijassa-775	434	30	a	a	DET
ijassa-775	434	31	101	101	NUM
ijassa-775	434	32	-	-	PUNCT
ijassa-775	434	33	cyclic	cyclic	NOUN
ijassa-775	434	34	point	point	NOUN
ijassa-775	434	35	represented	represent	VERB
ijassa-775	434	36	in	in	ADP
ijassa-775	434	37	figure	figure	NOUN
ijassa-775	434	38	5.8	5.8	NUM
ijassa-775	434	39	.	.	PUNCT
ijassa-775	435	1	fig	fig	NOUN
ijassa-775	435	2	.	.	PUNCT
ijassa-775	436	1	5.8	5.8	NUM
ijassa-775	436	2	.	.	PUNCT
ijassa-775	437	1	a	a	DET
ijassa-775	437	2	101	101	NUM
ijassa-775	437	3	-	-	PUNCT
ijassa-775	437	4	cycle	cycle	NOUN
ijassa-775	437	5	of	of	ADP
ijassa-775	437	6	hénon	hénon	NOUN
ijassa-775	437	7	system	system	NOUN
ijassa-775	437	8	(	(	PUNCT
ijassa-775	437	9	5.15	5.15	NUM
ijassa-775	437	10	)	)	PUNCT
ijassa-775	437	11	.	.	PUNCT
ijassa-775	438	1	5.9	5.9	NUM
ijassa-775	438	2	.	.	PUNCT
ijassa-775	439	1	elhadj	elhadj	PROPN
ijassa-775	439	2	-	-	PUNCT
ijassa-775	439	3	sprott	sprott	PROPN
ijassa-775	439	4	mapping	mapping	NOUN
ijassa-775	439	5	the	the	DET
ijassa-775	439	6	elhadj	elhadj	NOUN
ijassa-775	439	7	-	-	PROPN
ijassa-775	439	8	sprott	sprott	PROPN
ijassa-775	439	9	mapping	mapping	NOUN
ijassa-775	439	10	:	:	PUNCT
ijassa-775	439	11	xn+1	xn+1	NUM
ijassa-775	440	1	=	=	SYM
ijassa-775	440	2	1	1	NUM
ijassa-775	440	3	+	+	CCONJ
ijassa-775	440	4	a	a	DET
ijassa-775	440	5	sinxn	sinxn	NOUN
ijassa-775	440	6	+	+	CCONJ
ijassa-775	440	7	byn	byn	PROPN
ijassa-775	440	8	,	,	PUNCT
ijassa-775	440	9	yn+1	yn+1	PROPN
ijassa-775	440	10	=	=	SYM
ijassa-775	440	11	xn	xn	PROPN
ijassa-775	440	12	,	,	PUNCT
ijassa-775	440	13	a	a	DET
ijassa-775	440	14	=	=	SYM
ijassa-775	440	15	−4.0	−4.0	PROPN
ijassa-775	440	16	,	,	PUNCT
ijassa-775	440	17	b	b	X
ijassa-775	440	18	=	=	SYM
ijassa-775	440	19	0.9	0.9	NUM
ijassa-775	440	20	(	(	PUNCT
ijassa-775	440	21	5.16	5.16	NUM
ijassa-775	440	22	)	)	PUNCT
ijassa-775	440	23	has	have	VERB
ijassa-775	440	24	a	a	DET
ijassa-775	440	25	101	101	NUM
ijassa-775	440	26	-	-	PUNCT
ijassa-775	440	27	cyclic	cyclic	NOUN
ijassa-775	440	28	point	point	NOUN
ijassa-775	440	29	illustrated	illustrate	VERB
ijassa-775	440	30	in	in	ADP
ijassa-775	440	31	figure	figure	NOUN
ijassa-775	440	32	5.9	5.9	NUM
ijassa-775	440	33	.	.	PUNCT
ijassa-775	441	1	5.10	5.10	NUM
ijassa-775	441	2	.	.	PUNCT
ijassa-775	442	1	lozi	lozi	NOUN
ijassa-775	442	2	mapping	mapping	NOUN
ijassa-775	442	3	the	the	DET
ijassa-775	442	4	lozi	lozi	NOUN
ijassa-775	442	5	mapping	mapping	NOUN
ijassa-775	442	6	:	:	PUNCT
ijassa-775	442	7	xn+1	xn+1	NUM
ijassa-775	442	8	=	=	SYM
ijassa-775	442	9	1	1	NUM
ijassa-775	442	10	+	+	CCONJ
ijassa-775	442	11	a	a	DET
ijassa-775	442	12	|xn|+	|xn|+	ADJ
ijassa-775	442	13	byn	byn	NOUN
ijassa-775	442	14	,	,	PUNCT
ijassa-775	442	15	yn+1	yn+1	PROPN
ijassa-775	443	1	=	=	SYM
ijassa-775	443	2	xn	xn	PROPN
ijassa-775	443	3	,	,	PUNCT
ijassa-775	443	4	a	a	PRON
ijassa-775	443	5	=	=	SYM
ijassa-775	443	6	−1.7	−1.7	PROPN
ijassa-775	443	7	,	,	PUNCT
ijassa-775	443	8	b	b	X
ijassa-775	443	9	=	=	SYM
ijassa-775	443	10	0.5	0.5	NUM
ijassa-775	443	11	(	(	PUNCT
ijassa-775	443	12	5.17	5.17	NUM
ijassa-775	443	13	)	)	PUNCT
ijassa-775	443	14	has	have	VERB
ijassa-775	443	15	a	a	DET
ijassa-775	443	16	101	101	NUM
ijassa-775	443	17	-	-	PUNCT
ijassa-775	443	18	cyclic	cyclic	NOUN
ijassa-775	443	19	point	point	NOUN
ijassa-775	443	20	shown	show	VERB
ijassa-775	443	21	in	in	ADP
ijassa-775	443	22	figure	figure	NOUN
ijassa-775	443	23	5.10	5.10	NUM
ijassa-775	443	24	.	.	PUNCT
ijassa-775	444	1	copyright	copyright	NOUN
ijassa-775	444	2	c	c	ADP
ijassa-775	444	3	©	©	PROPN
ijassa-775	444	4	2020	2020	NUM
ijassa-775	444	5	assa	assa	NOUN
ijassa-775	444	6	.	.	PUNCT
ijassa-775	445	1	adv	adv	PROPN
ijassa-775	445	2	syst	syst	PROPN
ijassa-775	445	3	sci	sci	PROPN
ijassa-775	445	4	appl	appl	PROPN
ijassa-775	445	5	(	(	PUNCT
ijassa-775	445	6	2020	2020	NUM
ijassa-775	445	7	)	)	PUNCT
ijassa-775	445	8	44	44	NUM
ijassa-775	445	9	d.	d.	NOUN
ijassa-775	445	10	dmitrishin	dmitrishin	PROPN
ijassa-775	445	11	,	,	PUNCT
ijassa-775	445	12	e.	e.	PROPN
ijassa-775	445	13	iacob	iacob	PROPN
ijassa-775	445	14	,	,	PUNCT
ijassa-775	445	15	a.	a.	PROPN
ijassa-775	445	16	stokolos	stokolos	PROPN
ijassa-775	445	17	fig	fig	PROPN
ijassa-775	445	18	.	.	PUNCT
ijassa-775	446	1	5.9	5.9	NUM
ijassa-775	446	2	.	.	PUNCT
ijassa-775	447	1	a	a	DET
ijassa-775	447	2	101	101	NUM
ijassa-775	447	3	-	-	PUNCT
ijassa-775	447	4	cycle	cycle	NOUN
ijassa-775	447	5	of	of	ADP
ijassa-775	447	6	the	the	DET
ijassa-775	447	7	elhadge	elhadge	PROPN
ijassa-775	447	8	-	-	PUNCT
ijassa-775	447	9	sprott	sprott	PROPN
ijassa-775	447	10	system	system	NOUN
ijassa-775	447	11	(	(	PUNCT
ijassa-775	447	12	5.16	5.16	NUM
ijassa-775	447	13	)	)	PUNCT
ijassa-775	447	14	.	.	PUNCT
ijassa-775	448	1	fig	fig	NOUN
ijassa-775	448	2	.	.	PUNCT
ijassa-775	449	1	5.10	5.10	NUM
ijassa-775	449	2	.	.	PUNCT
ijassa-775	450	1	a	a	DET
ijassa-775	450	2	101	101	NUM
ijassa-775	450	3	-	-	PUNCT
ijassa-775	450	4	cycle	cycle	NOUN
ijassa-775	450	5	of	of	ADP
ijassa-775	450	6	the	the	DET
ijassa-775	450	7	lozi	lozi	NOUN
ijassa-775	450	8	system	system	NOUN
ijassa-775	450	9	(	(	PUNCT
ijassa-775	450	10	5.17	5.17	NUM
ijassa-775	450	11	)	)	PUNCT
ijassa-775	450	12	.	.	PUNCT
ijassa-775	451	1	copyright	copyright	NOUN
ijassa-775	451	2	c	c	ADP
ijassa-775	451	3	©	©	PROPN
ijassa-775	451	4	2020	2020	NUM
ijassa-775	451	5	assa	assa	NOUN
ijassa-775	451	6	.	.	PUNCT
ijassa-775	452	1	adv	adv	PROPN
ijassa-775	452	2	syst	syst	PROPN
ijassa-775	452	3	sci	sci	PROPN
ijassa-775	452	4	appl	appl	PROPN
ijassa-775	452	5	(	(	PUNCT
ijassa-775	452	6	2020	2020	NUM
ijassa-775	452	7	)	)	PUNCT
ijassa-775	452	8	average	average	ADJ
ijassa-775	452	9	predictive	predictive	ADJ
ijassa-775	452	10	control	control	NOUN
ijassa-775	452	11	45	45	NUM
ijassa-775	452	12	5.11	5.11	NUM
ijassa-775	452	13	.	.	PUNCT
ijassa-775	453	1	ikeda	ikeda	AUX
ijassa-775	453	2	mapping	map	VERB
ijassa-775	453	3	the	the	DET
ijassa-775	453	4	ikeda	ikeda	PROPN
ijassa-775	453	5	mapping	mapping	NOUN
ijassa-775	453	6	is	be	AUX
ijassa-775	453	7	given	give	VERB
ijassa-775	453	8	by	by	ADP
ijassa-775	453	9	the	the	DET
ijassa-775	453	10	equations	equation	NOUN
ijassa-775	453	11	:	:	PUNCT
ijassa-775	453	12	xn+1	xn+1	X
ijassa-775	453	13	=	=	SYM
ijassa-775	453	14	1	1	NUM
ijassa-775	453	15	+	+	NUM
ijassa-775	453	16	u	u	SYM
ijassa-775	453	17	(	(	PUNCT
ijassa-775	453	18	xn	xn	PROPN
ijassa-775	453	19	cos	cos	PROPN
ijassa-775	454	1	τn	τn	PROPN
ijassa-775	454	2	−	−	PROPN
ijassa-775	454	3	yn	yn	PROPN
ijassa-775	454	4	sin	sin	NOUN
ijassa-775	454	5	τn	τn	PROPN
ijassa-775	454	6	)	)	PUNCT
ijassa-775	454	7	,	,	PUNCT
ijassa-775	454	8	yn+1	yn+1	PROPN
ijassa-775	454	9	=	=	SYM
ijassa-775	454	10	u	u	PROPN
ijassa-775	454	11	(	(	PUNCT
ijassa-775	454	12	xn	xn	PROPN
ijassa-775	454	13	sin	sin	NOUN
ijassa-775	454	14	τn	τn	ADP
ijassa-775	454	15	+	+	PROPN
ijassa-775	454	16	yn	yn	X
ijassa-775	454	17	cos	cos	PROPN
ijassa-775	454	18	τn	τn	PROPN
ijassa-775	454	19	)	)	PUNCT
ijassa-775	454	20	,	,	PUNCT
ijassa-775	454	21	(	(	PUNCT
ijassa-775	454	22	5.18	5.18	NUM
ijassa-775	454	23	)	)	PUNCT
ijassa-775	454	24	where	where	SCONJ
ijassa-775	454	25	u	u	NOUN
ijassa-775	454	26	=	=	NOUN
ijassa-775	454	27	0.9	0.9	NUM
ijassa-775	454	28	,	,	PUNCT
ijassa-775	454	29	τn	τn	ADP
ijassa-775	454	30	=	=	NOUN
ijassa-775	454	31	0.4−	0.4−	NOUN
ijassa-775	454	32	6	6	NUM
ijassa-775	454	33	1	1	NUM
ijassa-775	454	34	+	+	CCONJ
ijassa-775	454	35	x2n	x2n	PROPN
ijassa-775	455	1	+	+	CCONJ
ijassa-775	455	2	y2n	y2n	NOUN
ijassa-775	455	3	.	.	PUNCT
ijassa-775	456	1	the	the	DET
ijassa-775	456	2	mapping	mapping	NOUN
ijassa-775	456	3	has	have	VERB
ijassa-775	456	4	a	a	DET
ijassa-775	456	5	101	101	NUM
ijassa-775	456	6	-	-	PUNCT
ijassa-775	456	7	cyclic	cyclic	NOUN
ijassa-775	456	8	point	point	NOUN
ijassa-775	456	9	illustrated	illustrate	VERB
ijassa-775	456	10	in	in	ADP
ijassa-775	456	11	figure	figure	NOUN
ijassa-775	456	12	5.11	5.11	NUM
ijassa-775	456	13	.	.	PUNCT
ijassa-775	456	14	fig	fig	NOUN
ijassa-775	456	15	.	.	PUNCT
ijassa-775	457	1	5.11	5.11	NUM
ijassa-775	457	2	.	.	PUNCT
ijassa-775	458	1	a	a	DET
ijassa-775	458	2	101	101	NUM
ijassa-775	458	3	-	-	PUNCT
ijassa-775	458	4	cycle	cycle	NOUN
ijassa-775	458	5	of	of	ADP
ijassa-775	458	6	the	the	DET
ijassa-775	458	7	ikeda	ikeda	NOUN
ijassa-775	458	8	system	system	NOUN
ijassa-775	458	9	(	(	PUNCT
ijassa-775	458	10	5.18	5.18	NUM
ijassa-775	458	11	)	)	PUNCT
ijassa-775	458	12	.	.	PUNCT
ijassa-775	459	1	5.12	5.12	NUM
ijassa-775	459	2	.	.	PUNCT
ijassa-775	460	1	holmes	holmes	PROPN
ijassa-775	460	2	cubic	cubic	PROPN
ijassa-775	460	3	mapping	mapping	PROPN
ijassa-775	460	4	the	the	DET
ijassa-775	460	5	holmes	holmes	PROPN
ijassa-775	460	6	cubic	cubic	PROPN
ijassa-775	460	7	mapping	mapping	NOUN
ijassa-775	460	8	:	:	PUNCT
ijassa-775	460	9	xn+1	xn+1	PROPN
ijassa-775	460	10	=	=	SYM
ijassa-775	460	11	yn	yn	PROPN
ijassa-775	460	12	,	,	PUNCT
ijassa-775	460	13	yn+1	yn+1	PROPN
ijassa-775	460	14	=	=	PROPN
ijassa-775	460	15	axn	axn	PROPN
ijassa-775	460	16	+	+	CCONJ
ijassa-775	460	17	byn	byn	PROPN
ijassa-775	460	18	−	−	PROPN
ijassa-775	460	19	y3n	y3n	PROPN
ijassa-775	460	20	,	,	PUNCT
ijassa-775	460	21	a	a	DET
ijassa-775	460	22	=	=	X
ijassa-775	460	23	−0.2	−0.2	PROPN
ijassa-775	460	24	,	,	PUNCT
ijassa-775	460	25	b	b	X
ijassa-775	460	26	=	=	SYM
ijassa-775	460	27	2.77	2.77	NUM
ijassa-775	460	28	(	(	PUNCT
ijassa-775	460	29	5.19	5.19	NUM
ijassa-775	460	30	)	)	PUNCT
ijassa-775	460	31	has	have	VERB
ijassa-775	460	32	a	a	DET
ijassa-775	460	33	101	101	NUM
ijassa-775	460	34	-	-	PUNCT
ijassa-775	460	35	cyclic	cyclic	NOUN
ijassa-775	460	36	point	point	NOUN
ijassa-775	460	37	shown	show	VERB
ijassa-775	460	38	in	in	ADP
ijassa-775	460	39	figure	figure	NOUN
ijassa-775	460	40	5.12	5.12	NUM
ijassa-775	460	41	.	.	PUNCT
ijassa-775	461	1	5.13	5.13	NUM
ijassa-775	461	2	.	.	PUNCT
ijassa-775	461	3	multihorseshoe	multihorseshoe	NOUN
ijassa-775	461	4	mapping	mapping	NOUN
ijassa-775	461	5	for	for	ADP
ijassa-775	461	6	the	the	DET
ijassa-775	461	7	multihorseshoe	multihorseshoe	NOUN
ijassa-775	461	8	mapping	mapping	NOUN
ijassa-775	461	9	[	[	X
ijassa-775	461	10	14	14	NUM
ijassa-775	461	11	]	]	X
ijassa-775	461	12	:	:	PUNCT
ijassa-775	461	13	xn+1	xn+1	NUM
ijassa-775	461	14	=	=	SYM
ijassa-775	461	15	xne	xne	NOUN
ijassa-775	461	16	a−0.8xn−0.2yn	a−0.8xn−0.2yn	NOUN
ijassa-775	461	17	yn+1	yn+1	X
ijassa-775	461	18	=	=	SYM
ijassa-775	461	19	yn(0.2xn	yn(0.2xn	PROPN
ijassa-775	461	20	+	+	NUM
ijassa-775	461	21	0.8yn)eb−0.2xn−0.8yn	0.8yn)eb−0.2xn−0.8yn	NOUN
ijassa-775	461	22	a	a	PRON
ijassa-775	461	23	=	=	SYM
ijassa-775	461	24	3.0	3.0	NUM
ijassa-775	461	25	,	,	PUNCT
ijassa-775	461	26	b	b	NOUN
ijassa-775	461	27	=	=	SYM
ijassa-775	461	28	3.0	3.0	NUM
ijassa-775	461	29	(	(	PUNCT
ijassa-775	461	30	5.20	5.20	NUM
ijassa-775	461	31	)	)	PUNCT
ijassa-775	461	32	copyright	copyright	NOUN
ijassa-775	461	33	c	c	ADP
ijassa-775	461	34	©	©	PROPN
ijassa-775	461	35	2020	2020	NUM
ijassa-775	461	36	assa	assa	NOUN
ijassa-775	461	37	.	.	PUNCT
ijassa-775	462	1	adv	adv	PROPN
ijassa-775	462	2	syst	syst	PROPN
ijassa-775	462	3	sci	sci	PROPN
ijassa-775	462	4	appl	appl	PROPN
ijassa-775	462	5	(	(	PUNCT
ijassa-775	462	6	2020	2020	NUM
ijassa-775	462	7	)	)	PUNCT
ijassa-775	462	8	46	46	NUM
ijassa-775	462	9	d.	d.	PROPN
ijassa-775	462	10	dmitrishin	dmitrishin	PROPN
ijassa-775	462	11	,	,	PUNCT
ijassa-775	462	12	e.	e.	PROPN
ijassa-775	462	13	iacob	iacob	PROPN
ijassa-775	462	14	,	,	PUNCT
ijassa-775	462	15	a.	a.	PROPN
ijassa-775	462	16	stokolos	stokolos	PROPN
ijassa-775	462	17	fig	fig	PROPN
ijassa-775	462	18	.	.	PUNCT
ijassa-775	463	1	5.12	5.12	NUM
ijassa-775	463	2	.	.	PUNCT
ijassa-775	464	1	a	a	DET
ijassa-775	464	2	101	101	NUM
ijassa-775	464	3	-	-	PUNCT
ijassa-775	464	4	cycle	cycle	NOUN
ijassa-775	464	5	of	of	ADP
ijassa-775	464	6	the	the	DET
ijassa-775	464	7	holmes	holmes	PROPN
ijassa-775	464	8	cubic	cubic	ADJ
ijassa-775	464	9	system	system	NOUN
ijassa-775	464	10	(	(	PUNCT
ijassa-775	464	11	5.19	5.19	NUM
ijassa-775	464	12	)	)	PUNCT
ijassa-775	464	13	.	.	PUNCT
ijassa-775	465	1	we	we	PRON
ijassa-775	465	2	show	show	VERB
ijassa-775	465	3	a	a	DET
ijassa-775	465	4	101	101	NUM
ijassa-775	465	5	-	-	PUNCT
ijassa-775	465	6	cyclic	cyclic	NOUN
ijassa-775	465	7	point	point	NOUN
ijassa-775	465	8	in	in	ADP
ijassa-775	465	9	figure	figure	NOUN
ijassa-775	465	10	5.13	5.13	NUM
ijassa-775	465	11	.	.	PUNCT
ijassa-775	466	1	fig	fig	NOUN
ijassa-775	466	2	.	.	PUNCT
ijassa-775	467	1	5.13	5.13	NUM
ijassa-775	467	2	.	.	PUNCT
ijassa-775	468	1	a	a	DET
ijassa-775	468	2	101	101	NUM
ijassa-775	468	3	-	-	PUNCT
ijassa-775	468	4	cycle	cycle	NOUN
ijassa-775	468	5	of	of	ADP
ijassa-775	468	6	the	the	DET
ijassa-775	468	7	multihorseshoe	multihorseshoe	NOUN
ijassa-775	468	8	system	system	NOUN
ijassa-775	468	9	(	(	PUNCT
ijassa-775	468	10	6.21	6.21	NUM
ijassa-775	468	11	)	)	PUNCT
ijassa-775	468	12	.	.	PUNCT
ijassa-775	469	1	copyright	copyright	NOUN
ijassa-775	469	2	c	c	ADP
ijassa-775	469	3	©	©	PROPN
ijassa-775	469	4	2020	2020	NUM
ijassa-775	469	5	assa	assa	NOUN
ijassa-775	469	6	.	.	PUNCT
ijassa-775	470	1	adv	adv	PROPN
ijassa-775	470	2	syst	syst	PROPN
ijassa-775	470	3	sci	sci	PROPN
ijassa-775	470	4	appl	appl	PROPN
ijassa-775	470	5	(	(	PUNCT
ijassa-775	470	6	2020	2020	NUM
ijassa-775	470	7	)	)	PUNCT
ijassa-775	470	8	average	average	ADJ
ijassa-775	470	9	predictive	predictive	ADJ
ijassa-775	470	10	control	control	NOUN
ijassa-775	470	11	47	47	NUM
ijassa-775	470	12	6	6	NUM
ijassa-775	470	13	.	.	PUNCT
ijassa-775	470	14	conclusion	conclusion	NOUN
ijassa-775	470	15	this	this	DET
ijassa-775	470	16	article	article	NOUN
ijassa-775	470	17	deals	deal	VERB
ijassa-775	470	18	with	with	ADP
ijassa-775	470	19	the	the	DET
ijassa-775	470	20	problem	problem	NOUN
ijassa-775	470	21	of	of	ADP
ijassa-775	470	22	stabilization	stabilization	NOUN
ijassa-775	470	23	for	for	ADP
ijassa-775	470	24	nonlinear	nonlinear	ADJ
ijassa-775	470	25	systems	system	NOUN
ijassa-775	470	26	of	of	ADP
ijassa-775	470	27	two	two	NUM
ijassa-775	470	28	categories	category	NOUN
ijassa-775	470	29	:	:	PUNCT
ijassa-775	470	30	those	those	PRON
ijassa-775	470	31	unstable	unstable	ADJ
ijassa-775	470	32	and	and	CCONJ
ijassa-775	470	33	those	those	PRON
ijassa-775	470	34	with	with	ADP
ijassa-775	470	35	a	a	DET
ijassa-775	470	36	priori	priori	ADJ
ijassa-775	470	37	unknown	unknown	ADJ
ijassa-775	470	38	periodic	periodic	ADJ
ijassa-775	470	39	orbits	orbit	NOUN
ijassa-775	470	40	at	at	ADP
ijassa-775	470	41	discrete	discrete	ADJ
ijassa-775	470	42	time	time	NOUN
ijassa-775	470	43	.	.	PUNCT
ijassa-775	471	1	a	a	DET
ijassa-775	471	2	well	well	ADV
ijassa-775	471	3	-	-	PUNCT
ijassa-775	471	4	known	know	VERB
ijassa-775	471	5	method	method	NOUN
ijassa-775	471	6	of	of	ADP
ijassa-775	471	7	stabilizing	stabilizing	NOUN
ijassa-775	471	8	controls	control	NOUN
ijassa-775	471	9	,	,	PUNCT
ijassa-775	471	10	called	call	VERB
ijassa-775	471	11	the	the	DET
ijassa-775	471	12	predictive	predictive	ADJ
ijassa-775	471	13	control	control	NOUN
ijassa-775	471	14	method	method	NOUN
ijassa-775	471	15	,	,	PUNCT
ijassa-775	471	16	first	first	ADV
ijassa-775	471	17	proposed	propose	VERB
ijassa-775	471	18	by	by	ADP
ijassa-775	471	19	b.t	b.t	PROPN
ijassa-775	471	20	.	.	PROPN
ijassa-775	471	21	polyak	polyak	PROPN
ijassa-775	471	22	,	,	PUNCT
ijassa-775	471	23	have	have	AUX
ijassa-775	471	24	been	be	AUX
ijassa-775	471	25	thoroughly	thoroughly	ADV
ijassa-775	471	26	investigated	investigate	VERB
ijassa-775	471	27	in	in	ADP
ijassa-775	471	28	this	this	DET
ijassa-775	471	29	work	work	NOUN
ijassa-775	471	30	.	.	PUNCT
ijassa-775	472	1	we	we	PRON
ijassa-775	472	2	have	have	AUX
ijassa-775	472	3	found	find	VERB
ijassa-775	472	4	that	that	SCONJ
ijassa-775	472	5	this	this	DET
ijassa-775	472	6	method	method	NOUN
ijassa-775	472	7	has	have	VERB
ijassa-775	472	8	several	several	ADJ
ijassa-775	472	9	disadvantages	disadvantage	NOUN
ijassa-775	472	10	:	:	PUNCT
ijassa-775	472	11	it	it	PRON
ijassa-775	472	12	is	be	AUX
ijassa-775	472	13	necessary	necessary	ADJ
ijassa-775	472	14	to	to	PART
ijassa-775	472	15	know	know	VERB
ijassa-775	472	16	the	the	DET
ijassa-775	472	17	cycle	cycle	NOUN
ijassa-775	472	18	exact	exact	NOUN
ijassa-775	472	19	multiplier	multiplier	ADV
ijassa-775	472	20	or	or	CCONJ
ijassa-775	472	21	its	its	PRON
ijassa-775	472	22	sufficiently	sufficiently	ADV
ijassa-775	472	23	accurate	accurate	ADJ
ijassa-775	472	24	estimate	estimate	NOUN
ijassa-775	472	25	even	even	ADV
ijassa-775	472	26	in	in	ADP
ijassa-775	472	27	the	the	DET
ijassa-775	472	28	scalar	scalar	ADJ
ijassa-775	472	29	case	case	NOUN
ijassa-775	472	30	;	;	PUNCT
ijassa-775	472	31	in	in	ADP
ijassa-775	472	32	the	the	DET
ijassa-775	472	33	vector	vector	NOUN
ijassa-775	472	34	case	case	NOUN
ijassa-775	472	35	,	,	PUNCT
ijassa-775	472	36	one	one	PRON
ijassa-775	472	37	must	must	AUX
ijassa-775	472	38	know	know	VERB
ijassa-775	472	39	the	the	DET
ijassa-775	472	40	whole	whole	ADJ
ijassa-775	472	41	cycle	cycle	NOUN
ijassa-775	472	42	jacobi	jacobi	PROPN
ijassa-775	472	43	matrix	matrix	NOUN
ijassa-775	472	44	;	;	PUNCT
ijassa-775	472	45	consequently	consequently	ADV
ijassa-775	472	46	,	,	PUNCT
ijassa-775	472	47	the	the	DET
ijassa-775	472	48	proposed	propose	VERB
ijassa-775	472	49	control	control	NOUN
ijassa-775	472	50	does	do	AUX
ijassa-775	472	51	not	not	PART
ijassa-775	472	52	have	have	VERB
ijassa-775	472	53	the	the	DET
ijassa-775	472	54	required	require	VERB
ijassa-775	472	55	robustness	robustness	NOUN
ijassa-775	472	56	with	with	ADP
ijassa-775	472	57	respect	respect	NOUN
ijassa-775	472	58	to	to	ADP
ijassa-775	472	59	the	the	DET
ijassa-775	472	60	system	system	NOUN
ijassa-775	472	61	parameters	parameter	NOUN
ijassa-775	472	62	perturbations	perturbation	NOUN
ijassa-775	472	63	;	;	PUNCT
ijassa-775	472	64	the	the	DET
ijassa-775	472	65	control	control	NOUN
ijassa-775	472	66	gain	gain	VERB
ijassa-775	472	67	coefficients	coefficient	NOUN
ijassa-775	472	68	have	have	VERB
ijassa-775	472	69	different	different	ADJ
ijassa-775	472	70	signs	sign	NOUN
ijassa-775	472	71	,	,	PUNCT
ijassa-775	472	72	which	which	PRON
ijassa-775	472	73	can	can	AUX
ijassa-775	472	74	trigger	trigger	VERB
ijassa-775	472	75	the	the	DET
ijassa-775	472	76	initial	initial	ADJ
ijassa-775	472	77	system	system	NOUN
ijassa-775	472	78	multiplier	multiplier	ADV
ijassa-775	472	79	’s	’s	AUX
ijassa-775	472	80	shifting	shift	VERB
ijassa-775	472	81	beyond	beyond	ADP
ijassa-775	472	82	the	the	DET
ijassa-775	472	83	central	central	ADJ
ijassa-775	472	84	unit	unit	NOUN
ijassa-775	472	85	circle	circle	NOUN
ijassa-775	472	86	(	(	PUNCT
ijassa-775	472	87	where	where	SCONJ
ijassa-775	472	88	it	it	PRON
ijassa-775	472	89	lies	lie	VERB
ijassa-775	472	90	)	)	PUNCT
ijassa-775	472	91	when	when	SCONJ
ijassa-775	472	92	applying	apply	VERB
ijassa-775	472	93	the	the	DET
ijassa-775	472	94	control	control	NOUN
ijassa-775	472	95	;	;	PUNCT
ijassa-775	472	96	therefore	therefore	ADV
ijassa-775	472	97	,	,	PUNCT
ijassa-775	472	98	the	the	DET
ijassa-775	472	99	gain	gain	NOUN
ijassa-775	472	100	coefficients	coefficient	NOUN
ijassa-775	472	101	must	must	AUX
ijassa-775	472	102	be	be	AUX
ijassa-775	472	103	small	small	ADJ
ijassa-775	472	104	,	,	PUNCT
ijassa-775	472	105	and	and	CCONJ
ijassa-775	472	106	,	,	PUNCT
ijassa-775	472	107	in	in	ADP
ijassa-775	472	108	order	order	NOUN
ijassa-775	472	109	to	to	PART
ijassa-775	472	110	evaluate	evaluate	VERB
ijassa-775	472	111	them	they	PRON
ijassa-775	472	112	at	at	ADP
ijassa-775	472	113	every	every	DET
ijassa-775	472	114	instance	instance	NOUN
ijassa-775	472	115	,	,	PUNCT
ijassa-775	472	116	we	we	PRON
ijassa-775	472	117	need	need	VERB
ijassa-775	472	118	to	to	PART
ijassa-775	472	119	know	know	VERB
ijassa-775	472	120	the	the	DET
ijassa-775	472	121	multiplier	multipli	ADJ
ijassa-775	472	122	’s	’s	PART
ijassa-775	472	123	value	value	NOUN
ijassa-775	472	124	.	.	PUNCT
ijassa-775	473	1	all	all	DET
ijassa-775	473	2	these	these	DET
ijassa-775	473	3	shortcomings	shortcoming	NOUN
ijassa-775	473	4	imply	imply	VERB
ijassa-775	473	5	the	the	DET
ijassa-775	473	6	necessity	necessity	NOUN
ijassa-775	473	7	to	to	PART
ijassa-775	473	8	modify	modify	VERB
ijassa-775	473	9	the	the	DET
ijassa-775	473	10	predictive	predictive	ADJ
ijassa-775	473	11	control	control	NOUN
ijassa-775	473	12	method	method	NOUN
ijassa-775	473	13	.	.	PUNCT
ijassa-775	474	1	we	we	PRON
ijassa-775	474	2	propose	propose	VERB
ijassa-775	474	3	not	not	PART
ijassa-775	474	4	only	only	ADV
ijassa-775	474	5	to	to	PART
ijassa-775	474	6	use	use	VERB
ijassa-775	474	7	the	the	DET
ijassa-775	474	8	first	first	ADJ
ijassa-775	474	9	and	and	CCONJ
ijassa-775	474	10	last	last	ADJ
ijassa-775	474	11	iterations	iteration	NOUN
ijassa-775	474	12	of	of	ADP
ijassa-775	474	13	the	the	DET
ijassa-775	474	14	original	original	ADJ
ijassa-775	474	15	mapping	mapping	NOUN
ijassa-775	474	16	,	,	PUNCT
ijassa-775	474	17	but	but	CCONJ
ijassa-775	474	18	also	also	ADV
ijassa-775	474	19	all	all	DET
ijassa-775	474	20	previous	previous	ADJ
ijassa-775	474	21	ones	one	NOUN
ijassa-775	474	22	,	,	PUNCT
ijassa-775	474	23	by	by	ADP
ijassa-775	474	24	considering	consider	VERB
ijassa-775	474	25	their	their	PRON
ijassa-775	474	26	linear	linear	ADJ
ijassa-775	474	27	combination	combination	NOUN
ijassa-775	474	28	.	.	PUNCT
ijassa-775	475	1	this	this	DET
ijassa-775	475	2	linear	linear	ADJ
ijassa-775	475	3	combination	combination	NOUN
ijassa-775	475	4	’s	’s	PART
ijassa-775	475	5	coefficients	coefficient	NOUN
ijassa-775	475	6	are	be	AUX
ijassa-775	475	7	sought	seek	VERB
ijassa-775	475	8	as	as	ADP
ijassa-775	475	9	being	be	AUX
ijassa-775	475	10	of	of	ADP
ijassa-775	475	11	a	a	DET
ijassa-775	475	12	special	special	ADJ
ijassa-775	475	13	polynomial	polynomial	NOUN
ijassa-775	475	14	,	,	PUNCT
ijassa-775	475	15	characterized	characterize	VERB
ijassa-775	475	16	by	by	ADP
ijassa-775	475	17	certain	certain	ADJ
ijassa-775	475	18	properties	property	NOUN
ijassa-775	475	19	.	.	PUNCT
ijassa-775	476	1	as	as	ADP
ijassa-775	476	2	a	a	DET
ijassa-775	476	3	result	result	NOUN
ijassa-775	476	4	,	,	PUNCT
ijassa-775	476	5	it	it	PRON
ijassa-775	476	6	was	be	AUX
ijassa-775	476	7	possible	possible	ADJ
ijassa-775	476	8	for	for	SCONJ
ijassa-775	476	9	us	we	PRON
ijassa-775	476	10	to	to	PART
ijassa-775	476	11	extend	extend	VERB
ijassa-775	476	12	the	the	DET
ijassa-775	476	13	predictive	predictive	ADJ
ijassa-775	476	14	control	control	NOUN
ijassa-775	476	15	scope	scope	NOUN
ijassa-775	476	16	.	.	PUNCT
ijassa-775	477	1	in	in	ADP
ijassa-775	477	2	addition	addition	NOUN
ijassa-775	477	3	,	,	PUNCT
ijassa-775	477	4	if	if	SCONJ
ijassa-775	477	5	the	the	DET
ijassa-775	477	6	coefficients	coefficient	NOUN
ijassa-775	477	7	are	be	AUX
ijassa-775	477	8	non	non	ADJ
ijassa-775	477	9	-	-	ADJ
ijassa-775	477	10	negative	negative	ADJ
ijassa-775	477	11	,	,	PUNCT
ijassa-775	477	12	then	then	ADV
ijassa-775	477	13	for	for	ADP
ijassa-775	477	14	the	the	DET
ijassa-775	477	15	initial	initial	ADJ
ijassa-775	477	16	system	system	NOUN
ijassa-775	477	17	cycle	cycle	NOUN
ijassa-775	477	18	multipliers	multiplier	NOUN
ijassa-775	477	19	lying	lie	VERB
ijassa-775	477	20	in	in	ADP
ijassa-775	477	21	the	the	DET
ijassa-775	477	22	central	central	ADJ
ijassa-775	477	23	unit	unit	NOUN
ijassa-775	477	24	circle	circle	VERB
ijassa-775	477	25	the	the	DET
ijassa-775	477	26	corresponding	corresponding	ADJ
ijassa-775	477	27	multipliers	multiplier	NOUN
ijassa-775	477	28	of	of	ADP
ijassa-775	477	29	the	the	DET
ijassa-775	477	30	control	control	NOUN
ijassa-775	477	31	system	system	NOUN
ijassa-775	477	32	cycle	cycle	NOUN
ijassa-775	477	33	become	become	VERB
ijassa-775	477	34	closer	close	ADJ
ijassa-775	477	35	to	to	ADP
ijassa-775	477	36	zero	zero	NUM
ijassa-775	477	37	.	.	PUNCT
ijassa-775	478	1	an	an	DET
ijassa-775	478	2	algorithm	algorithm	NOUN
ijassa-775	478	3	is	be	AUX
ijassa-775	478	4	given	give	VERB
ijassa-775	478	5	as	as	ADP
ijassa-775	478	6	a	a	DET
ijassa-775	478	7	special	special	ADJ
ijassa-775	478	8	case	case	NOUN
ijassa-775	478	9	of	of	ADP
ijassa-775	478	10	this	this	DET
ijassa-775	478	11	method	method	NOUN
ijassa-775	478	12	application	application	NOUN
ijassa-775	478	13	,	,	PUNCT
ijassa-775	478	14	for	for	ADP
ijassa-775	478	15	finding	find	VERB
ijassa-775	478	16	a	a	DET
ijassa-775	478	17	cycle	cycle	NOUN
ijassa-775	478	18	of	of	ADP
ijassa-775	478	19	a	a	DET
ijassa-775	478	20	given	give	VERB
ijassa-775	478	21	length	length	NOUN
ijassa-775	478	22	when	when	SCONJ
ijassa-775	478	23	its	its	PRON
ijassa-775	478	24	multipliers	multiplier	NOUN
ijassa-775	478	25	are	be	AUX
ijassa-775	478	26	known	know	VERB
ijassa-775	478	27	.	.	PUNCT
ijassa-775	479	1	one	one	NUM
ijassa-775	479	2	of	of	ADP
ijassa-775	479	3	the	the	DET
ijassa-775	479	4	possible	possible	ADJ
ijassa-775	479	5	directions	direction	NOUN
ijassa-775	479	6	for	for	ADP
ijassa-775	479	7	future	future	ADJ
ijassa-775	479	8	research	research	NOUN
ijassa-775	479	9	is	be	AUX
ijassa-775	479	10	related	relate	VERB
ijassa-775	479	11	to	to	ADP
ijassa-775	479	12	investigating	investigate	VERB
ijassa-775	479	13	new	new	ADJ
ijassa-775	479	14	control	control	NOUN
ijassa-775	479	15	schemes	scheme	NOUN
ijassa-775	479	16	that	that	PRON
ijassa-775	479	17	combine	combine	VERB
ijassa-775	479	18	the	the	DET
ijassa-775	479	19	use	use	NOUN
ijassa-775	479	20	of	of	ADP
ijassa-775	479	21	control	control	NOUN
ijassa-775	479	22	system	system	NOUN
ijassa-775	479	23	previous	previous	ADJ
ijassa-775	479	24	states	state	NOUN
ijassa-775	479	25	and	and	CCONJ
ijassa-775	479	26	the	the	DET
ijassa-775	479	27	initial	initial	ADJ
ijassa-775	479	28	system	system	NOUN
ijassa-775	479	29	predicted	predict	VERB
ijassa-775	479	30	states	state	NOUN
ijassa-775	479	31	,	,	PUNCT
ijassa-775	479	32	i.e.	i.e.	X
ijassa-775	479	33	the	the	DET
ijassa-775	479	34	predictive	predictive	ADJ
ijassa-775	479	35	control	control	NOUN
ijassa-775	479	36	shall	shall	AUX
ijassa-775	479	37	be	be	AUX
ijassa-775	479	38	considered	consider	VERB
ijassa-775	479	39	together	together	ADV
ijassa-775	479	40	with	with	ADP
ijassa-775	479	41	the	the	DET
ijassa-775	479	42	semi	semi	ADJ
ijassa-775	479	43	-	-	ADJ
ijassa-775	479	44	linear	linear	ADJ
ijassa-775	479	45	control	control	NOUN
ijassa-775	480	1	[	[	X
ijassa-775	480	2	8	8	NUM
ijassa-775	480	3	]	]	PUNCT
ijassa-775	480	4	as	as	SCONJ
ijassa-775	480	5	follows	follow	VERB
ijassa-775	480	6	:	:	PUNCT
ijassa-775	480	7			PROPN
ijassa-775	480	8	xn	xn	PUNCT
ijassa-775	481	1	=	=	SYM
ijassa-775	481	2	n1∑	n1∑	PROPN
ijassa-775	481	3	j=1	j=1	PROPN
ijassa-775	481	4	ajxn−jt+t	ajxn−jt+t	PROPN
ijassa-775	481	5	yn	yn	X
ijassa-775	482	1	=	=	PUNCT
ijassa-775	482	2	n2∑	n2∑	PROPN
ijassa-775	482	3	j=1	j=1	NOUN
ijassa-775	482	4	bjxn−jt+1	bjxn−jt+1	PROPN
ijassa-775	482	5	f	f	PROPN
ijassa-775	482	6	(	(	PUNCT
ijassa-775	482	7	x	x	X
ijassa-775	482	8	)	)	PUNCT
ijassa-775	482	9	=	=	SYM
ijassa-775	482	10	n3∑	n3∑	PROPN
ijassa-775	482	11	j=1	j=1	PROPN
ijassa-775	482	12	θjf	θjf	VERB
ijassa-775	482	13	(	(	PUNCT
ijassa-775	482	14	(	(	PUNCT
ijassa-775	482	15	j−1)t+1)(x	j−1)t+1)(x	PROPN
ijassa-775	482	16	)	)	PUNCT
ijassa-775	482	17	xn+1	xn+1	PROPN
ijassa-775	483	1	=	=	SYM
ijassa-775	483	2	(	(	PUNCT
ijassa-775	483	3	1−	1−	NUM
ijassa-775	483	4	γ)f	γ)f	X
ijassa-775	483	5	(	(	PUNCT
ijassa-775	483	6	xn	xn	X
ijassa-775	483	7	)	)	PUNCT
ijassa-775	484	1	+	+	NUM
ijassa-775	484	2	γyn	γyn	NOUN
ijassa-775	484	3	(	(	PUNCT
ijassa-775	484	4	6.21	6.21	NUM
ijassa-775	484	5	)	)	PUNCT
ijassa-775	484	6	where	where	SCONJ
ijassa-775	484	7	n1∑	n1∑	PROPN
ijassa-775	484	8	j=1	j=1	PROPN
ijassa-775	484	9	aj	aj	PROPN
ijassa-775	484	10	=	=	PROPN
ijassa-775	484	11	1	1	NUM
ijassa-775	484	12	,	,	PUNCT
ijassa-775	484	13	n2∑	n2∑	PROPN
ijassa-775	484	14	j=1	j=1	NOUN
ijassa-775	484	15	bj	bj	VERB
ijassa-775	484	16	=	=	SYM
ijassa-775	484	17	1	1	NUM
ijassa-775	484	18	,	,	PUNCT
ijassa-775	484	19	n3∑	n3∑	PROPN
ijassa-775	484	20	j=1	j=1	NOUN
ijassa-775	484	21	θj	θj	NOUN
ijassa-775	485	1	=	=	SYM
ijassa-775	485	2	1	1	X
ijassa-775	485	3	.	.	PUNCT
ijassa-775	486	1	clearly	clearly	ADV
ijassa-775	486	2	,	,	PUNCT
ijassa-775	486	3	the	the	DET
ijassa-775	486	4	t	t	PROPN
ijassa-775	486	5	-cycles	-cycle	NOUN
ijassa-775	486	6	of	of	ADP
ijassa-775	486	7	systems	system	NOUN
ijassa-775	486	8	(	(	PUNCT
ijassa-775	486	9	2.1	2.1	NUM
ijassa-775	486	10	)	)	PUNCT
ijassa-775	486	11	and	and	CCONJ
ijassa-775	486	12	(	(	PUNCT
ijassa-775	486	13	6.21	6.21	NUM
ijassa-775	486	14	)	)	PUNCT
ijassa-775	486	15	coincide	coincide	NOUN
ijassa-775	486	16	.	.	PUNCT
ijassa-775	487	1	the	the	DET
ijassa-775	487	2	conditions	condition	NOUN
ijassa-775	487	3	of	of	ADP
ijassa-775	487	4	the	the	DET
ijassa-775	487	5	system	system	NOUN
ijassa-775	487	6	(	(	PUNCT
ijassa-775	487	7	6.21	6.21	NUM
ijassa-775	487	8	)	)	PUNCT
ijassa-775	487	9	t	t	PROPN
ijassa-775	487	10	-cycle	-cycle	NOUN
ijassa-775	487	11	local	local	ADJ
ijassa-775	487	12	asymptotic	asymptotic	ADJ
ijassa-775	487	13	stability	stability	NOUN
ijassa-775	487	14	can	can	AUX
ijassa-775	487	15	be	be	AUX
ijassa-775	487	16	formulated	formulate	VERB
ijassa-775	487	17	as	as	ADP
ijassa-775	487	18	µj	µj	PROPN
ijassa-775	488	1	[	[	X
ijassa-775	488	2	r	r	X
ijassa-775	488	3	(	(	PUNCT
ijassa-775	488	4	µj	µj	PROPN
ijassa-775	488	5	)	)	PUNCT
ijassa-775	488	6	]	]	PUNCT
ijassa-775	489	1	t	t	PROPN
ijassa-775	489	2	∈	∈	PROPN
ijassa-775	489	3	(	(	PUNCT
ijassa-775	489	4	c	c	NOUN
ijassa-775	489	5	\	\	PROPN
ijassa-775	489	6	φ	φ	PROPN
ijassa-775	489	7	(	(	PUNCT
ijassa-775	489	8	d	d	NOUN
ijassa-775	489	9	)	)	PUNCT
ijassa-775	489	10	)	)	PUNCT
ijassa-775	489	11	∗	∗	NOUN
ijassa-775	489	12	,	,	PUNCT
ijassa-775	489	13	j	j	PROPN
ijassa-775	489	14	=	=	SYM
ijassa-775	489	15	1	1	NUM
ijassa-775	489	16	,	,	PUNCT
ijassa-775	489	17	.	.	PUNCT
ijassa-775	489	18	.	.	PUNCT
ijassa-775	489	19	.	.	PUNCT
ijassa-775	490	1	,	,	PUNCT
ijassa-775	490	2	m	m	PROPN
ijassa-775	490	3	,	,	PUNCT
ijassa-775	490	4	φ(z	φ(z	PROPN
ijassa-775	490	5	)	)	PUNCT
ijassa-775	490	6	=	=	PUNCT
ijassa-775	490	7	(	(	PUNCT
ijassa-775	490	8	1−	1−	NUM
ijassa-775	490	9	γ)t	γ)t	NOUN
ijassa-775	490	10	z(q(z))t	z(q(z))t	NUM
ijassa-775	490	11	(	(	PUNCT
ijassa-775	490	12	1−	1−	NUM
ijassa-775	490	13	γp(z))t	γp(z))t	PROPN
ijassa-775	490	14	,	,	PUNCT
ijassa-775	490	15	q(z	q(z	PROPN
ijassa-775	490	16	)	)	PUNCT
ijassa-775	491	1	=	=	SYM
ijassa-775	491	2	n1∑	n1∑	PROPN
ijassa-775	491	3	j=1	j=1	PROPN
ijassa-775	491	4	ajz	ajz	PROPN
ijassa-775	491	5	j−1	j−1	PROPN
ijassa-775	491	6	,	,	PUNCT
ijassa-775	491	7	p(z	p(z	NOUN
ijassa-775	491	8	)	)	PUNCT
ijassa-775	491	9	=	=	SYM
ijassa-775	492	1	n2∑	n2∑	PROPN
ijassa-775	492	2	j=1	j=1	NOUN
ijassa-775	492	3	bjz	bjz	VERB
ijassa-775	492	4	j−1	j−1	PROPN
ijassa-775	492	5	,	,	PUNCT
ijassa-775	492	6	copyright	copyright	NOUN
ijassa-775	492	7	c	c	ADP
ijassa-775	492	8	©	©	PROPN
ijassa-775	492	9	2020	2020	NUM
ijassa-775	492	10	assa	assa	NOUN
ijassa-775	492	11	.	.	PUNCT
ijassa-775	493	1	adv	adv	PROPN
ijassa-775	493	2	syst	syst	PROPN
ijassa-775	493	3	sci	sci	PROPN
ijassa-775	493	4	appl	appl	PROPN
ijassa-775	493	5	(	(	PUNCT
ijassa-775	493	6	2020	2020	NUM
ijassa-775	493	7	)	)	PUNCT
ijassa-775	493	8	48	48	NUM
ijassa-775	493	9	d.	d.	PROPN
ijassa-775	493	10	dmitrishin	dmitrishin	PROPN
ijassa-775	493	11	,	,	PUNCT
ijassa-775	493	12	e.	e.	PROPN
ijassa-775	493	13	iacob	iacob	PROPN
ijassa-775	493	14	,	,	PUNCT
ijassa-775	493	15	a.	a.	NOUN
ijassa-775	493	16	stokolos	stokolos	PROPN
ijassa-775	493	17	where	where	SCONJ
ijassa-775	493	18	c	c	PROPN
ijassa-775	493	19	is	be	AUX
ijassa-775	493	20	an	an	DET
ijassa-775	493	21	extended	extended	ADJ
ijassa-775	493	22	complex	complex	ADJ
ijassa-775	493	23	plane	plane	NOUN
ijassa-775	493	24	,	,	PUNCT
ijassa-775	493	25	and	and	CCONJ
ijassa-775	493	26	the	the	DET
ijassa-775	493	27	asterisk	asterisk	NOUN
ijassa-775	493	28	denotes	denote	VERB
ijassa-775	493	29	the	the	DET
ijassa-775	493	30	reciprocal	reciprocal	ADJ
ijassa-775	493	31	operation	operation	NOUN
ijassa-775	493	32	:	:	PUNCT
ijassa-775	493	33	(	(	PUNCT
ijassa-775	493	34	z)∗	z)∗	NOUN
ijassa-775	493	35	=	=	SYM
ijassa-775	493	36	1	1	NUM
ijassa-775	493	37	z	z	NOUN
ijassa-775	493	38	.	.	PUNCT
ijassa-775	494	1	the	the	DET
ijassa-775	494	2	semilinear	semilinear	PROPN
ijassa-775	494	3	control	control	PROPN
ijassa-775	494	4	method	method	NOUN
ijassa-775	494	5	(	(	PUNCT
ijassa-775	494	6	when	when	SCONJ
ijassa-775	494	7	n3	n3	NOUN
ijassa-775	494	8	=	=	NOUN
ijassa-775	494	9	1	1	NUM
ijassa-775	494	10	in	in	ADP
ijassa-775	494	11	(	(	PUNCT
ijassa-775	494	12	6.21	6.21	NUM
ijassa-775	494	13	)	)	PUNCT
ijassa-775	494	14	)	)	PUNCT
ijassa-775	494	15	has	have	VERB
ijassa-775	494	16	also	also	ADV
ijassa-775	494	17	certain	certain	ADJ
ijassa-775	494	18	disadvantages	disadvantage	NOUN
ijassa-775	494	19	[	[	X
ijassa-775	494	20	8,9	8,9	NUM
ijassa-775	494	21	]	]	PUNCT
ijassa-775	494	22	.	.	PUNCT
ijassa-775	495	1	further	further	ADJ
ijassa-775	495	2	studies	study	NOUN
ijassa-775	495	3	shall	shall	AUX
ijassa-775	495	4	aim	aim	VERB
ijassa-775	495	5	to	to	ADP
ijassa-775	495	6	eliminating	eliminate	VERB
ijassa-775	495	7	(	(	PUNCT
ijassa-775	495	8	reducing	reduce	VERB
ijassa-775	495	9	)	)	PUNCT
ijassa-775	495	10	inherent	inherent	ADJ
ijassa-775	495	11	disadvantages	disadvantage	NOUN
ijassa-775	495	12	of	of	ADP
ijassa-775	495	13	predictive	predictive	ADJ
ijassa-775	495	14	control	control	NOUN
ijassa-775	495	15	and	and	CCONJ
ijassa-775	495	16	semi	semi	ADJ
ijassa-775	495	17	-	-	ADJ
ijassa-775	495	18	linear	linear	ADJ
ijassa-775	495	19	control	control	NOUN
ijassa-775	495	20	,	,	PUNCT
ijassa-775	495	21	synthesizing	synthesize	VERB
ijassa-775	495	22	these	these	DET
ijassa-775	495	23	approaches	approach	NOUN
ijassa-775	495	24	together	together	ADV
ijassa-775	495	25	.	.	PUNCT
ijassa-775	496	1	references	reference	NOUN
ijassa-775	496	2	1	1	NUM
ijassa-775	496	3	.	.	PUNCT
ijassa-775	496	4	andrievsky	andrievsky	PROPN
ijassa-775	496	5	b.r	b.r	PROPN
ijassa-775	496	6	.	.	PROPN
ijassa-775	496	7	,	,	PUNCT
ijassa-775	496	8	fradkov	fradkov	PROPN
ijassa-775	496	9	a.l	a.l	PROPN
ijassa-775	496	10	.	.	PROPN
ijassa-775	496	11	,	,	PUNCT
ijassa-775	496	12	control	control	NOUN
ijassa-775	496	13	of	of	ADP
ijassa-775	496	14	chaos	chaos	NOUN
ijassa-775	496	15	:	:	PUNCT
ijassa-775	496	16	methods	method	NOUN
ijassa-775	496	17	and	and	CCONJ
ijassa-775	496	18	applications	application	NOUN
ijassa-775	496	19	.	.	PUNCT
ijassa-775	497	1	i.	i.	PROPN
ijassa-775	497	2	methods	methods	PROPN
ijassa-775	497	3	,	,	PUNCT
ijassa-775	497	4	avtomat	avtomat	NOUN
ijassa-775	497	5	.	.	PUNCT
ijassa-775	498	1	i	i	PRON
ijassa-775	498	2	telemekh	telemekh	PROPN
ijassa-775	498	3	.	.	PUNCT
ijassa-775	498	4	,	,	PUNCT
ijassa-775	498	5	(	(	PUNCT
ijassa-775	498	6	2003	2003	NUM
ijassa-775	498	7	)	)	PUNCT
ijassa-775	498	8	,	,	PUNCT
ijassa-775	499	1	no	no	INTJ
ijassa-775	499	2	.	.	NOUN
ijassa-775	499	3	5	5	NUM
ijassa-775	499	4	,	,	PUNCT
ijassa-775	499	5	3	3	NUM
ijassa-775	499	6	-	-	SYM
ijassa-775	499	7	45	45	NUM
ijassa-775	499	8	.	.	NOUN
ijassa-775	499	9	2	2	NUM
ijassa-775	499	10	.	.	X
ijassa-775	499	11	bartuccelli	bartuccelli	ADJ
ijassa-775	499	12	m.	m.	NOUN
ijassa-775	499	13	,	,	PUNCT
ijassa-775	499	14	constantin	constantin	PROPN
ijassa-775	499	15	p.	p.	PROPN
ijassa-775	499	16	,	,	PUNCT
ijassa-775	499	17	doering	doere	VERB
ijassa-775	499	18	c.r	c.r	PROPN
ijassa-775	499	19	.	.	PROPN
ijassa-775	499	20	,	,	PUNCT
ijassa-775	499	21	gibbon	gibbon	PROPN
ijassa-775	499	22	j.d	j.d	PROPN
ijassa-775	499	23	.	.	PROPN
ijassa-775	499	24	,	,	PUNCT
ijassa-775	499	25	gisselfalt	gisselfalt	NOUN
ijassa-775	499	26	m.	m.	NOUN
ijassa-775	499	27	,	,	PUNCT
ijassa-775	499	28	hard	hard	ADJ
ijassa-775	499	29	turbulence	turbulence	NOUN
ijassa-775	499	30	in	in	ADP
ijassa-775	499	31	a	a	DET
ijassa-775	499	32	finite	finite	ADJ
ijassa-775	499	33	dimensional	dimensional	ADJ
ijassa-775	499	34	dynamical	dynamical	ADJ
ijassa-775	499	35	system	system	NOUN
ijassa-775	499	36	,	,	PUNCT
ijassa-775	499	37	phys	phy	NOUN
ijassa-775	499	38	.	.	PUNCT
ijassa-775	500	1	lett	lett	PROPN
ijassa-775	500	2	.	.	PUNCT
ijassa-775	501	1	a	a	DET
ijassa-775	501	2	142	142	NUM
ijassa-775	501	3	(	(	PUNCT
ijassa-775	501	4	6	6	NUM
ijassa-775	501	5	-	-	SYM
ijassa-775	501	6	7	7	NUM
ijassa-775	501	7	)	)	PUNCT
ijassa-775	501	8	(	(	PUNCT
ijassa-775	501	9	1987	1987	NUM
ijassa-775	501	10	)	)	PUNCT
ijassa-775	501	11	349	349	NUM
ijassa-775	501	12	-	-	SYM
ijassa-775	501	13	356	356	NUM
ijassa-775	501	14	.	.	PUNCT
ijassa-775	502	1	3	3	X
ijassa-775	502	2	.	.	X
ijassa-775	502	3	chen	chen	PROPN
ijassa-775	502	4	g.	g.	PROPN
ijassa-775	502	5	,	,	PUNCT
ijassa-775	502	6	dong	dong	PROPN
ijassa-775	502	7	x.	x.	PROPN
ijassa-775	502	8	,	,	PUNCT
ijassa-775	502	9	from	from	ADP
ijassa-775	502	10	chaos	chaos	NOUN
ijassa-775	502	11	to	to	ADP
ijassa-775	502	12	order	order	NOUN
ijassa-775	502	13	:	:	PUNCT
ijassa-775	502	14	methodologies	methodology	NOUN
ijassa-775	502	15	,	,	PUNCT
ijassa-775	502	16	perspectives	perspective	NOUN
ijassa-775	502	17	and	and	CCONJ
ijassa-775	502	18	application	application	NOUN
ijassa-775	502	19	.	.	PUNCT
ijassa-775	503	1	world	world	NOUN
ijassa-775	503	2	scientific	scientific	PROPN
ijassa-775	503	3	,	,	PUNCT
ijassa-775	503	4	singapore	singapore	PROPN
ijassa-775	503	5	(	(	PUNCT
ijassa-775	503	6	1999	1999	NUM
ijassa-775	503	7	)	)	PUNCT
ijassa-775	503	8	4	4	NUM
ijassa-775	503	9	.	.	X
ijassa-775	504	1	davidchack	davidchack	PROPN
ijassa-775	504	2	r.l	r.l	PROPN
ijassa-775	504	3	.	.	PROPN
ijassa-775	504	4	,	,	PUNCT
ijassa-775	504	5	lai	lai	PROPN
ijassa-775	504	6	y.-c	y.-c	PROPN
ijassa-775	504	7	.	.	PROPN
ijassa-775	504	8	,	,	PUNCT
ijassa-775	504	9	klebanoff	klebanoff	PROPN
ijassa-775	504	10	a.	a.	PROPN
ijassa-775	504	11	,	,	PUNCT
ijassa-775	504	12	bollt	bollt	PROPN
ijassa-775	505	1	e.m	e.m	PROPN
ijassa-775	505	2	.	.	PROPN
ijassa-775	505	3	,	,	PUNCT
ijassa-775	505	4	towards	towards	ADP
ijassa-775	505	5	complete	complete	ADJ
ijassa-775	505	6	detection	detection	NOUN
ijassa-775	505	7	of	of	ADP
ijassa-775	505	8	unstable	unstable	ADJ
ijassa-775	505	9	periodic	periodic	ADJ
ijassa-775	505	10	orbits	orbit	NOUN
ijassa-775	505	11	in	in	ADP
ijassa-775	505	12	chaotic	chaotic	ADJ
ijassa-775	505	13	systems	system	NOUN
ijassa-775	505	14	,	,	PUNCT
ijassa-775	505	15	phys	phy	NOUN
ijassa-775	505	16	.	.	PUNCT
ijassa-775	506	1	lett	lett	PROPN
ijassa-775	506	2	.	.	PUNCT
ijassa-775	507	1	a	a	DET
ijassa-775	507	2	287	287	NUM
ijassa-775	507	3	(	(	PUNCT
ijassa-775	507	4	2001	2001	NUM
ijassa-775	507	5	)	)	PUNCT
ijassa-775	507	6	,	,	PUNCT
ijassa-775	507	7	99	99	NUM
ijassa-775	507	8	-	-	SYM
ijassa-775	507	9	104	104	NUM
ijassa-775	507	10	.	.	PUNCT
ijassa-775	508	1	5	5	NUM
ijassa-775	508	2	.	.	X
ijassa-775	508	3	devaney	devaney	PROPN
ijassa-775	508	4	r.l	r.l	PROPN
ijassa-775	508	5	.	.	PROPN
ijassa-775	508	6	,	,	PUNCT
ijassa-775	508	7	an	an	DET
ijassa-775	508	8	introduction	introduction	NOUN
ijassa-775	508	9	to	to	ADP
ijassa-775	508	10	chaotic	chaotic	ADJ
ijassa-775	508	11	dynamical	dynamical	ADJ
ijassa-775	508	12	systems	system	NOUN
ijassa-775	508	13	.	.	PUNCT
ijassa-775	509	1	new	new	PROPN
ijassa-775	509	2	york	york	PROPN
ijassa-775	509	3	:	:	PUNCT
ijassa-775	509	4	addisonwesley	addisonwesley	ADJ
ijassa-775	509	5	publ	publ	PROPN
ijassa-775	509	6	.	.	PUNCT
ijassa-775	510	1	co.	co.	PROPN
ijassa-775	510	2	,	,	PUNCT
ijassa-775	510	3	second	second	ADJ
ijassa-775	510	4	edition	edition	NOUN
ijassa-775	510	5	.	.	PUNCT
ijassa-775	510	6	,	,	PUNCT
ijassa-775	510	7	(	(	PUNCT
ijassa-775	510	8	1993	1993	NUM
ijassa-775	510	9	)	)	PUNCT
ijassa-775	510	10	6	6	NUM
ijassa-775	510	11	.	.	PUNCT
ijassa-775	511	1	dmitrishin	dmitrishin	ADJ
ijassa-775	511	2	d.	d.	PROPN
ijassa-775	511	3	,	,	PUNCT
ijassa-775	511	4	hagelstein	hagelstein	NOUN
ijassa-775	511	5	p.	p.	PROPN
ijassa-775	511	6	,	,	PUNCT
ijassa-775	511	7	khamitova	khamitova	PROPN
ijassa-775	511	8	a.	a.	PROPN
ijassa-775	511	9	,	,	PUNCT
ijassa-775	511	10	and	and	CCONJ
ijassa-775	511	11	stokolos	stokolos	PROPN
ijassa-775	511	12	a.	a.	PROPN
ijassa-775	511	13	,	,	PUNCT
ijassa-775	511	14	limitations	limitation	NOUN
ijassa-775	511	15	of	of	ADP
ijassa-775	511	16	robust	robust	ADJ
ijassa-775	511	17	stability	stability	NOUN
ijassa-775	511	18	of	of	ADP
ijassa-775	511	19	a	a	DET
ijassa-775	511	20	linear	linear	NOUN
ijassa-775	511	21	delayed	delay	VERB
ijassa-775	511	22	feedback	feedback	NOUN
ijassa-775	511	23	control	control	NOUN
ijassa-775	511	24	,	,	PUNCT
ijassa-775	511	25	siam	siam	PROPN
ijassa-775	511	26	j.	j.	PROPN
ijassa-775	511	27	control	control	PROPN
ijassa-775	511	28	optim	optim	PROPN
ijassa-775	511	29	.	.	PUNCT
ijassa-775	512	1	56	56	NUM
ijassa-775	512	2	,	,	PUNCT
ijassa-775	512	3	(	(	PUNCT
ijassa-775	512	4	2018	2018	NUM
ijassa-775	512	5	)	)	PUNCT
ijassa-775	512	6	,	,	PUNCT
ijassa-775	512	7	148	148	NUM
ijassa-775	512	8	-	-	SYM
ijassa-775	512	9	157	157	NUM
ijassa-775	512	10	.	.	PUNCT
ijassa-775	513	1	7	7	X
ijassa-775	513	2	.	.	X
ijassa-775	513	3	dmitrishin	dmitrishin	ADJ
ijassa-775	513	4	d.	d.	PROPN
ijassa-775	513	5	and	and	CCONJ
ijassa-775	513	6	khamitova	khamitova	PROPN
ijassa-775	513	7	a.	a.	PROPN
ijassa-775	513	8	,	,	PUNCT
ijassa-775	513	9	methods	method	NOUN
ijassa-775	513	10	of	of	ADP
ijassa-775	513	11	harmonic	harmonic	ADJ
ijassa-775	513	12	analysis	analysis	NOUN
ijassa-775	513	13	in	in	ADP
ijassa-775	513	14	nonlinear	nonlinear	ADJ
ijassa-775	513	15	dynamics	dynamic	NOUN
ijassa-775	513	16	,	,	PUNCT
ijassa-775	513	17	comptes	compte	VERB
ijassa-775	513	18	rendus	rendus	PROPN
ijassa-775	513	19	mathematique	mathematique	PROPN
ijassa-775	513	20	,	,	PUNCT
ijassa-775	513	21	volume	volume	NOUN
ijassa-775	513	22	351	351	NUM
ijassa-775	513	23	,	,	PUNCT
ijassa-775	513	24	issues	issue	NOUN
ijassa-775	513	25	9	9	NUM
ijassa-775	513	26	-	-	SYM
ijassa-775	513	27	10	10	NUM
ijassa-775	513	28	,	,	PUNCT
ijassa-775	513	29	367	367	NUM
ijassa-775	513	30	370	370	NUM
ijassa-775	513	31	(	(	PUNCT
ijassa-775	513	32	2013	2013	NUM
ijassa-775	513	33	)	)	PUNCT
ijassa-775	513	34	8	8	NUM
ijassa-775	513	35	.	.	PUNCT
ijassa-775	514	1	dmitrishin	dmitrishin	PROPN
ijassa-775	514	2	d.	d.	PROPN
ijassa-775	514	3	,	,	PUNCT
ijassa-775	514	4	khamitova	khamitova	PROPN
ijassa-775	514	5	a.	a.	PROPN
ijassa-775	514	6	and	and	CCONJ
ijassa-775	514	7	stokolos	stokolos	PROPN
ijassa-775	514	8	a.	a.	PROPN
ijassa-775	514	9	,	,	PUNCT
ijassa-775	514	10	fejér	fejér	NOUN
ijassa-775	514	11	polynomials	polynomial	NOUN
ijassa-775	514	12	and	and	CCONJ
ijassa-775	514	13	chaos	chaos	NOUN
ijassa-775	514	14	,	,	PUNCT
ijassa-775	514	15	springer	springer	NOUN
ijassa-775	514	16	proceedings	proceeding	NOUN
ijassa-775	514	17	in	in	ADP
ijassa-775	514	18	mathematics	mathematic	NOUN
ijassa-775	514	19	and	and	CCONJ
ijassa-775	514	20	statistics	statistic	NOUN
ijassa-775	514	21	,	,	PUNCT
ijassa-775	514	22	108	108	NUM
ijassa-775	514	23	(	(	PUNCT
ijassa-775	514	24	2014	2014	NUM
ijassa-775	514	25	)	)	PUNCT
ijassa-775	514	26	,	,	PUNCT
ijassa-775	514	27	49–75	49–75	NUM
ijassa-775	514	28	.	.	PUNCT
ijassa-775	515	1	9	9	NUM
ijassa-775	515	2	.	.	PUNCT
ijassa-775	515	3	dmitrishin	dmitrishin	ADJ
ijassa-775	515	4	d.	d.	PROPN
ijassa-775	515	5	,	,	PUNCT
ijassa-775	515	6	skrinnik	skrinnik	PROPN
ijassa-775	515	7	i.	i.	PROPN
ijassa-775	515	8	,	,	PUNCT
ijassa-775	515	9	lesaja	lesaja	PROPN
ijassa-775	515	10	g.	g.	PROPN
ijassa-775	515	11	,	,	PUNCT
ijassa-775	515	12	stokolos	stokolos	PROPN
ijassa-775	515	13	a.	a.	PROPN
ijassa-775	515	14	,	,	PUNCT
ijassa-775	515	15	a	a	DET
ijassa-775	515	16	new	new	ADJ
ijassa-775	515	17	method	method	NOUN
ijassa-775	515	18	for	for	ADP
ijassa-775	515	19	finding	find	VERB
ijassa-775	515	20	cycles	cycle	NOUN
ijassa-775	515	21	by	by	ADP
ijassa-775	515	22	semilinear	semilinear	PROPN
ijassa-775	515	23	control	control	PROPN
ijassa-775	515	24	,	,	PUNCT
ijassa-775	515	25	physics	physics	NOUN
ijassa-775	515	26	letters	letter	NOUN
ijassa-775	515	27	a	a	PRON
ijassa-775	515	28	,	,	PUNCT
ijassa-775	515	29	383	383	NUM
ijassa-775	515	30	(	(	PUNCT
ijassa-775	515	31	2019	2019	NUM
ijassa-775	515	32	)	)	PUNCT
ijassa-775	515	33	,	,	PUNCT
ijassa-775	515	34	1871	1871	NUM
ijassa-775	515	35	–	–	PUNCT
ijassa-775	515	36	1878	1878	NUM
ijassa-775	515	37	.	.	PUNCT
ijassa-775	516	1	10	10	NUM
ijassa-775	516	2	.	.	PUNCT
ijassa-775	517	1	dmitrishin	dmitrishin	ADJ
ijassa-775	517	2	d.	d.	PROPN
ijassa-775	517	3	,	,	PUNCT
ijassa-775	517	4	iacob	iacob	PROPN
ijassa-775	517	5	e.	e.	PROPN
ijassa-775	517	6	,	,	PUNCT
ijassa-775	517	7	stokolos	stokolos	PROPN
ijassa-775	517	8	a.	a.	PROPN
ijassa-775	517	9	,	,	PUNCT
ijassa-775	517	10	average	average	ADJ
ijassa-775	517	11	predictive	predictive	ADJ
ijassa-775	517	12	control	control	NOUN
ijassa-775	517	13	for	for	ADP
ijassa-775	517	14	nonlinear	nonlinear	ADJ
ijassa-775	517	15	discrete	discrete	ADJ
ijassa-775	517	16	dynamical	dynamical	ADJ
ijassa-775	517	17	systems	system	NOUN
ijassa-775	517	18	,	,	PUNCT
ijassa-775	517	19	arxiv:1906.02925v2	arxiv:1906.02925v2	PROPN
ijassa-775	517	20	.	.	PROPN
ijassa-775	517	21	11	11	NUM
ijassa-775	517	22	.	.	PUNCT
ijassa-775	517	23	elaydi	elaydi	PROPN
ijassa-775	517	24	s.	s.	PROPN
ijassa-775	517	25	,	,	PUNCT
ijassa-775	517	26	an	an	DET
ijassa-775	517	27	introduction	introduction	NOUN
ijassa-775	517	28	to	to	ADP
ijassa-775	517	29	difference	difference	NOUN
ijassa-775	517	30	equations	equation	NOUN
ijassa-775	517	31	,	,	PUNCT
ijassa-775	517	32	isbn	isbn	ADJ
ijassa-775	517	33	0	0	NUM
ijassa-775	517	34	-	-	SYM
ijassa-775	517	35	387	387	NUM
ijassa-775	517	36	-	-	PUNCT
ijassa-775	517	37	23059	23059	NUM
ijassa-775	517	38	-	-	PUNCT
ijassa-775	517	39	9	9	NUM
ijassa-775	517	40	.	.	PUNCT
ijassa-775	517	41	springer	springer	NOUN
ijassa-775	517	42	,	,	PUNCT
ijassa-775	517	43	new	new	PROPN
ijassa-775	517	44	york	york	PROPN
ijassa-775	517	45	(	(	PUNCT
ijassa-775	517	46	2005	2005	NUM
ijassa-775	517	47	)	)	PUNCT
ijassa-775	517	48	,	,	PUNCT
ijassa-775	517	49	539p	539p	PROPN
ijassa-775	517	50	.	.	PUNCT
ijassa-775	518	1	12	12	NUM
ijassa-775	518	2	.	.	PUNCT
ijassa-775	519	1	galias	galias	PROPN
ijassa-775	519	2	z.	z.	PROPN
ijassa-775	519	3	,	,	PUNCT
ijassa-775	519	4	rigorous	rigorous	ADJ
ijassa-775	519	5	investigations	investigation	NOUN
ijassa-775	519	6	of	of	ADP
ijassa-775	519	7	ikeda	ikeda	PROPN
ijassa-775	519	8	map	map	NOUN
ijassa-775	519	9	by	by	ADP
ijassa-775	519	10	means	mean	NOUN
ijassa-775	519	11	of	of	ADP
ijassa-775	519	12	interval	interval	NOUN
ijassa-775	519	13	arithmetic	arithmetic	ADJ
ijassa-775	519	14	.	.	PUNCT
ijassa-775	520	1	nonlinearity	nonlinearity	NOUN
ijassa-775	520	2	,	,	PUNCT
ijassa-775	520	3	(	(	PUNCT
ijassa-775	520	4	2002	2002	NUM
ijassa-775	520	5	)	)	PUNCT
ijassa-775	520	6	15:1759	15:1759	NUM
ijassa-775	520	7	-	-	SYM
ijassa-775	520	8	1779	1779	NUM
ijassa-775	520	9	.	.	PUNCT
ijassa-775	521	1	13	13	NUM
ijassa-775	521	2	.	.	PUNCT
ijassa-775	521	3	jackson	jackson	PROPN
ijassa-775	521	4	e.a	e.a	PROPN
ijassa-775	521	5	.	.	PROPN
ijassa-775	521	6	,	,	PUNCT
ijassa-775	521	7	perspectives	perspective	NOUN
ijassa-775	521	8	of	of	ADP
ijassa-775	521	9	nonlinear	nonlinear	ADJ
ijassa-775	521	10	dinamics	dinamic	NOUN
ijassa-775	521	11	.	.	PUNCT
ijassa-775	522	1	vol	vol	NOUN
ijassa-775	522	2	.	.	PUNCT
ijassa-775	523	1	i	i	PRON
ijassa-775	523	2	,	,	PUNCT
ijassa-775	523	3	ii	ii	PROPN
ijassa-775	523	4	,	,	PUNCT
ijassa-775	523	5	cambridge	cambridge	PROPN
ijassa-775	523	6	univ	univ	PROPN
ijassa-775	523	7	.	.	PUNCT
ijassa-775	524	1	press	press	PROPN
ijassa-775	524	2	,	,	PUNCT
ijassa-775	524	3	cambridge	cambridge	PROPN
ijassa-775	524	4	,	,	PUNCT
ijassa-775	524	5	1980	1980	NUM
ijassa-775	524	6	,	,	PUNCT
ijassa-775	524	7	1990	1990	NUM
ijassa-775	524	8	chaos	chaos	NOUN
ijassa-775	524	9	ii	ii	PROPN
ijassa-775	524	10	,	,	PUNCT
ijassa-775	524	11	ed	ed	NOUN
ijassa-775	524	12	.	.	PUNCT
ijassa-775	525	1	hao	hao	PROPN
ijassa-775	525	2	bai	bai	PROPN
ijassa-775	525	3	-	-	PUNCT
ijassa-775	525	4	lin	lin	PROPN
ijassa-775	525	5	.	.	PUNCT
ijassa-775	526	1	world	world	PROPN
ijassa-775	526	2	sci	sci	PROPN
ijassa-775	526	3	.	.	PROPN
ijassa-775	526	4	,	,	PUNCT
ijassa-775	526	5	(	(	PUNCT
ijassa-775	526	6	1990	1990	NUM
ijassa-775	526	7	)	)	PUNCT
ijassa-775	526	8	.	.	PUNCT
ijassa-775	527	1	14	14	NUM
ijassa-775	527	2	.	.	PUNCT
ijassa-775	528	1	joshi	joshi	PROPN
ijassa-775	528	2	,	,	PUNCT
ijassa-775	528	3	y.a	y.a	PROPN
ijassa-775	528	4	.	.	PROPN
ijassa-775	528	5	and	and	CCONJ
ijassa-775	528	6	blackmore	blackmore	PROPN
ijassa-775	528	7	,	,	PUNCT
ijassa-775	528	8	d.	d.	PROPN
ijassa-775	528	9	,	,	PUNCT
ijassa-775	528	10	strange	strange	ADJ
ijassa-775	528	11	attractors	attractor	NOUN
ijassa-775	528	12	for	for	ADP
ijassa-775	528	13	asymptotically	asymptotically	ADV
ijassa-775	528	14	zero	zero	NUM
ijassa-775	528	15	maps	map	NOUN
ijassa-775	528	16	.	.	PUNCT
ijassa-775	529	1	chaos	chaos	NOUN
ijassa-775	529	2	,	,	PUNCT
ijassa-775	529	3	solitons	soliton	NOUN
ijassa-775	529	4	&	&	CCONJ
ijassa-775	529	5	fractals	fractal	NOUN
ijassa-775	529	6	volume	volume	NOUN
ijassa-775	529	7	68	68	NUM
ijassa-775	529	8	,	,	PUNCT
ijassa-775	529	9	2014	2014	NUM
ijassa-775	529	10	,	,	PUNCT
ijassa-775	529	11	123	123	NUM
ijassa-775	529	12	-	-	SYM
ijassa-775	529	13	138	138	NUM
ijassa-775	529	14	.	.	PUNCT
ijassa-775	529	15	15	15	NUM
ijassa-775	529	16	.	.	PUNCT
ijassa-775	530	1	kittel	kittel	PROPN
ijassa-775	530	2	a	a	PROPN
ijassa-775	530	3	,	,	PUNCT
ijassa-775	530	4	parisi	parisi	PROPN
ijassa-775	530	5	j	j	PROPN
ijassa-775	530	6	,	,	PUNCT
ijassa-775	530	7	pyragas	pyragas	PROPN
ijassa-775	530	8	k.	k.	PROPN
ijassa-775	530	9	,	,	PUNCT
ijassa-775	530	10	delayed	delay	VERB
ijassa-775	530	11	feedback	feedback	NOUN
ijassa-775	530	12	-	-	PUNCT
ijassa-775	530	13	control	control	NOUN
ijassa-775	530	14	of	of	ADP
ijassa-775	530	15	chaos	chaos	NOUN
ijassa-775	530	16	by	by	ADP
ijassa-775	530	17	self	self	NOUN
ijassa-775	530	18	-	-	PUNCT
ijassa-775	530	19	adapted	adapt	VERB
ijassa-775	530	20	delaytime	delaytime	ADJ
ijassa-775	530	21	.	.	PUNCT
ijassa-775	531	1	phys	phy	NOUN
ijassa-775	531	2	lett	lett	PROPN
ijassa-775	531	3	a	a	DET
ijassa-775	531	4	1995	1995	NUM
ijassa-775	531	5	,	,	PUNCT
ijassa-775	531	6	vol	vol	NOUN
ijassa-775	531	7	.	.	PROPN
ijassa-775	531	8	198	198	NUM
ijassa-775	531	9	(	(	PUNCT
ijassa-775	531	10	5	5	NUM
ijassa-775	531	11	-	-	PUNCT
ijassa-775	531	12	6),433	6),433	NUM
ijassa-775	531	13	-	-	PUNCT
ijassa-775	531	14	436	436	NUM
ijassa-775	531	15	.	.	PUNCT
ijassa-775	532	1	16	16	NUM
ijassa-775	532	2	.	.	PUNCT
ijassa-775	533	1	kuntsevich	kuntsevich	PROPN
ijassa-775	533	2	a.v	a.v	PROPN
ijassa-775	533	3	.	.	PROPN
ijassa-775	533	4	,	,	PUNCT
ijassa-775	533	5	kuntsevich	kuntsevich	PROPN
ijassa-775	533	6	v.m	v.m	PROPN
ijassa-775	533	7	.	.	PROPN
ijassa-775	533	8	,	,	PUNCT
ijassa-775	533	9	estimates	estimate	NOUN
ijassa-775	533	10	of	of	ADP
ijassa-775	533	11	stable	stable	ADJ
ijassa-775	533	12	limit	limit	NOUN
ijassa-775	533	13	cycles	cycle	NOUN
ijassa-775	533	14	of	of	ADP
ijassa-775	533	15	nonlinear	nonlinear	ADJ
ijassa-775	533	16	discrete	discrete	ADJ
ijassa-775	533	17	systems	system	NOUN
ijassa-775	533	18	,	,	PUNCT
ijassa-775	533	19	journal	journal	NOUN
ijassa-775	533	20	of	of	ADP
ijassa-775	533	21	automation	automation	NOUN
ijassa-775	533	22	and	and	CCONJ
ijassa-775	533	23	information	information	NOUN
ijassa-775	533	24	sciences	science	NOUN
ijassa-775	533	25	,	,	PUNCT
ijassa-775	533	26	volume	volume	NOUN
ijassa-775	533	27	44	44	NUM
ijassa-775	533	28	,	,	PUNCT
ijassa-775	533	29	issue	issue	NOUN
ijassa-775	533	30	9	9	NUM
ijassa-775	533	31	,	,	PUNCT
ijassa-775	533	32	(	(	PUNCT
ijassa-775	533	33	2012	2012	NUM
ijassa-775	533	34	)	)	PUNCT
ijassa-775	533	35	,	,	PUNCT
ijassa-775	533	36	1	1	NUM
ijassa-775	533	37	-	-	SYM
ijassa-775	533	38	10	10	NUM
ijassa-775	533	39	.	.	PUNCT
ijassa-775	534	1	copyright	copyright	NOUN
ijassa-775	534	2	c	c	ADP
ijassa-775	534	3	©	©	PROPN
ijassa-775	534	4	2020	2020	NUM
ijassa-775	534	5	assa	assa	NOUN
ijassa-775	534	6	.	.	PUNCT
ijassa-775	535	1	adv	adv	PROPN
ijassa-775	535	2	syst	syst	PROPN
ijassa-775	535	3	sci	sci	PROPN
ijassa-775	535	4	appl	appl	PROPN
ijassa-775	535	5	(	(	PUNCT
ijassa-775	535	6	2020	2020	NUM
ijassa-775	535	7	)	)	PUNCT
ijassa-775	535	8	average	average	ADJ
ijassa-775	535	9	predictive	predictive	ADJ
ijassa-775	535	10	control	control	NOUN
ijassa-775	535	11	49	49	NUM
ijassa-775	535	12	17	17	NUM
ijassa-775	535	13	.	.	PUNCT
ijassa-775	536	1	kuntsevich	kuntsevich	PROPN
ijassa-775	536	2	a.v	a.v	PROPN
ijassa-775	536	3	.	.	PROPN
ijassa-775	536	4	,	,	PUNCT
ijassa-775	536	5	kuntsevich	kuntsevich	PROPN
ijassa-775	536	6	v.m	v.m	PROPN
ijassa-775	536	7	.	.	PROPN
ijassa-775	536	8	,	,	PUNCT
ijassa-775	536	9	invariant	invariant	ADJ
ijassa-775	536	10	sets	set	NOUN
ijassa-775	536	11	for	for	ADP
ijassa-775	536	12	families	family	NOUN
ijassa-775	536	13	of	of	ADP
ijassa-775	536	14	linear	linear	ADJ
ijassa-775	536	15	and	and	CCONJ
ijassa-775	536	16	nonlinear	nonlinear	ADJ
ijassa-775	536	17	discrete	discrete	ADJ
ijassa-775	536	18	systems	system	NOUN
ijassa-775	536	19	with	with	ADP
ijassa-775	536	20	bounded	bounded	ADJ
ijassa-775	536	21	disturbances	disturbance	NOUN
ijassa-775	536	22	,	,	PUNCT
ijassa-775	536	23	automation	automation	NOUN
ijassa-775	536	24	and	and	CCONJ
ijassa-775	536	25	remote	remote	ADJ
ijassa-775	536	26	control	control	NOUN
ijassa-775	536	27	,	,	PUNCT
ijassa-775	536	28	vol	vol	NOUN
ijassa-775	536	29	.	.	PROPN
ijassa-775	536	30	73	73	NUM
ijassa-775	536	31	,	,	PUNCT
ijassa-775	536	32	no	no	INTJ
ijassa-775	536	33	.	.	NOUN
ijassa-775	536	34	1	1	NUM
ijassa-775	536	35	,	,	PUNCT
ijassa-775	536	36	(	(	PUNCT
ijassa-775	536	37	2012	2012	NUM
ijassa-775	536	38	)	)	PUNCT
ijassa-775	536	39	,	,	PUNCT
ijassa-775	536	40	83	83	NUM
ijassa-775	536	41	-	-	SYM
ijassa-775	536	42	96	96	NUM
ijassa-775	536	43	.	.	PUNCT
ijassa-775	536	44	18	18	NUM
ijassa-775	536	45	.	.	PUNCT
ijassa-775	536	46	lesaja	lesaja	PROPN
ijassa-775	536	47	g.	g.	PROPN
ijassa-775	536	48	,	,	PUNCT
ijassa-775	536	49	potra	potra	PROPN
ijassa-775	536	50	f.	f.	PROPN
ijassa-775	536	51	,	,	PUNCT
ijassa-775	536	52	adaptive	adaptive	ADJ
ijassa-775	536	53	full	full	ADJ
ijassa-775	536	54	newton	newton	NOUN
ijassa-775	536	55	-	-	PUNCT
ijassa-775	536	56	step	step	NOUN
ijassa-775	536	57	infeasible	infeasible	ADJ
ijassa-775	536	58	interior	interior	ADJ
ijassa-775	536	59	-	-	PUNCT
ijassa-775	536	60	point	point	NOUN
ijassa-775	536	61	method	method	NOUN
ijassa-775	536	62	for	for	ADP
ijassa-775	536	63	sufficient	sufficient	ADJ
ijassa-775	536	64	horizontal	horizontal	ADJ
ijassa-775	536	65	lcp	lcp	NOUN
ijassa-775	536	66	,	,	PUNCT
ijassa-775	536	67	optimization	optimization	NOUN
ijassa-775	536	68	methods	method	NOUN
ijassa-775	536	69	and	and	CCONJ
ijassa-775	536	70	software	software	NOUN
ijassa-775	536	71	,	,	PUNCT
ijassa-775	536	72	21(1	21(1	NUM
ijassa-775	536	73	)	)	PUNCT
ijassa-775	536	74	,	,	PUNCT
ijassa-775	536	75	(	(	PUNCT
ijassa-775	536	76	2018	2018	NUM
ijassa-775	536	77	)	)	PUNCT
ijassa-775	536	78	,	,	PUNCT
ijassa-775	536	79	doi	doi	NOUN
ijassa-775	536	80	:	:	PUNCT
ijassa-775	536	81	10.1080/10556788.2018.1546857	10.1080/10556788.2018.1546857	NUM
ijassa-775	536	82	19	19	NUM
ijassa-775	536	83	.	.	PUNCT
ijassa-775	537	1	miller	miller	PROPN
ijassa-775	537	2	j.r	j.r	PROPN
ijassa-775	537	3	.	.	PROPN
ijassa-775	537	4	,	,	PUNCT
ijassa-775	537	5	yorke	yorke	PROPN
ijassa-775	537	6	j.a	j.a	AUX
ijassa-775	537	7	.	.	PROPN
ijassa-775	537	8	finding	find	VERB
ijassa-775	537	9	all	all	DET
ijassa-775	537	10	periodic	periodic	ADJ
ijassa-775	537	11	orbits	orbit	NOUN
ijassa-775	537	12	of	of	ADP
ijassa-775	537	13	maps	map	NOUN
ijassa-775	537	14	using	use	VERB
ijassa-775	537	15	newton	newton	PROPN
ijassa-775	537	16	methods	method	NOUN
ijassa-775	537	17	:	:	PUNCT
ijassa-775	537	18	sizes	size	NOUN
ijassa-775	537	19	of	of	ADP
ijassa-775	537	20	basins	basin	NOUN
ijassa-775	537	21	.	.	PUNCT
ijassa-775	538	1	physica	physica	PROPN
ijassa-775	538	2	d	d	PROPN
ijassa-775	538	3	(	(	PUNCT
ijassa-775	538	4	2000);135:195	2000);135:195	NOUN
ijassa-775	538	5	-	-	SYM
ijassa-775	538	6	211	211	NUM
ijassa-775	538	7	.	.	PUNCT
ijassa-775	539	1	20	20	NUM
ijassa-775	539	2	.	.	PUNCT
ijassa-775	540	1	morgul	morgul	PROPN
ijassa-775	540	2	o.	o.	PROPN
ijassa-775	540	3	,	,	PUNCT
ijassa-775	540	4	further	further	ADJ
ijassa-775	540	5	stability	stability	NOUN
ijassa-775	540	6	results	result	VERB
ijassa-775	540	7	for	for	ADP
ijassa-775	540	8	a	a	DET
ijassa-775	540	9	generalization	generalization	NOUN
ijassa-775	540	10	of	of	ADP
ijassa-775	540	11	delayed	delay	VERB
ijassa-775	540	12	feedback	feedback	NOUN
ijassa-775	540	13	control	control	NOUN
ijassa-775	540	14	,	,	PUNCT
ijassa-775	540	15	nonlinear	nonlinear	ADJ
ijassa-775	540	16	dynamics	dynamic	NOUN
ijassa-775	540	17	,	,	PUNCT
ijassa-775	540	18	1	1	NUM
ijassa-775	540	19	-	-	SYM
ijassa-775	540	20	8	8	NUM
ijassa-775	540	21	(	(	PUNCT
ijassa-775	540	22	2012	2012	NUM
ijassa-775	540	23	)	)	PUNCT
ijassa-775	540	24	.	.	PUNCT
ijassa-775	541	1	21	21	NUM
ijassa-775	541	2	.	.	PUNCT
ijassa-775	542	1	morgul	morgul	PROPN
ijassa-775	542	2	o.	o.	PROPN
ijassa-775	542	3	,	,	PUNCT
ijassa-775	542	4	on	on	ADP
ijassa-775	542	5	the	the	DET
ijassa-775	542	6	stability	stability	NOUN
ijassa-775	542	7	of	of	ADP
ijassa-775	542	8	delayed	delay	VERB
ijassa-775	542	9	feedback	feedback	NOUN
ijassa-775	542	10	controllers	controller	NOUN
ijassa-775	542	11	,	,	PUNCT
ijassa-775	542	12	phys	phy	NOUN
ijassa-775	542	13	.	.	PUNCT
ijassa-775	543	1	lett	lett	PROPN
ijassa-775	543	2	.	.	PUNCT
ijassa-775	544	1	a	a	DET
ijassa-775	544	2	314	314	NUM
ijassa-775	544	3	(	(	PUNCT
ijassa-775	544	4	2003	2003	NUM
ijassa-775	544	5	)	)	PUNCT
ijassa-775	544	6	278	278	NUM
ijassa-775	544	7	-	-	SYM
ijassa-775	544	8	285	285	NUM
ijassa-775	544	9	.	.	PUNCT
ijassa-775	545	1	22	22	NUM
ijassa-775	545	2	.	.	PUNCT
ijassa-775	546	1	ott	ott	PROPN
ijassa-775	546	2	e.	e.	PROPN
ijassa-775	546	3	,	,	PUNCT
ijassa-775	546	4	grebodgi	grebodgi	PROPN
ijassa-775	546	5	c.	c.	PROPN
ijassa-775	546	6	,	,	PUNCT
ijassa-775	546	7	yorke	yorke	PROPN
ijassa-775	546	8	j.a	j.a	PROPN
ijassa-775	546	9	.	.	PROPN
ijassa-775	546	10	,	,	PUNCT
ijassa-775	546	11	controlling	control	VERB
ijassa-775	546	12	chaos	chaos	NOUN
ijassa-775	546	13	.	.	PUNCT
ijassa-775	547	1	phys	phy	NOUN
ijassa-775	547	2	.	.	PUNCT
ijassa-775	548	1	rev	rev	PROPN
ijassa-775	548	2	.	.	PROPN
ijassa-775	548	3	lett	lett	PROPN
ijassa-775	548	4	.	.	PROPN
ijassa-775	549	1	64	64	NUM
ijassa-775	549	2	,	,	PUNCT
ijassa-775	549	3	1196	1196	NUM
ijassa-775	549	4	-	-	SYM
ijassa-775	549	5	1199	1199	NUM
ijassa-775	549	6	(	(	PUNCT
ijassa-775	549	7	1990	1990	NUM
ijassa-775	549	8	)	)	PUNCT
ijassa-775	549	9	.	.	PUNCT
ijassa-775	550	1	23	23	NUM
ijassa-775	550	2	.	.	PUNCT
ijassa-775	550	3	polyak	polyak	PROPN
ijassa-775	550	4	b.	b.	PROPN
ijassa-775	550	5	t.	t.	PROPN
ijassa-775	550	6	,	,	PUNCT
ijassa-775	550	7	stabilizing	stabilize	VERB
ijassa-775	550	8	chaos	chaos	NOUN
ijassa-775	550	9	with	with	ADP
ijassa-775	550	10	predictive	predictive	ADJ
ijassa-775	550	11	control	control	NOUN
ijassa-775	550	12	,	,	PUNCT
ijassa-775	550	13	automation	automation	NOUN
ijassa-775	550	14	and	and	CCONJ
ijassa-775	550	15	remote	remote	ADJ
ijassa-775	550	16	control	control	NOUN
ijassa-775	550	17	,	,	PUNCT
ijassa-775	550	18	vol	vol	NOUN
ijassa-775	550	19	.	.	PROPN
ijassa-775	550	20	66	66	NUM
ijassa-775	550	21	(	(	PUNCT
ijassa-775	550	22	11	11	NUM
ijassa-775	550	23	)	)	PUNCT
ijassa-775	550	24	,	,	PUNCT
ijassa-775	550	25	(	(	PUNCT
ijassa-775	550	26	2005	2005	NUM
ijassa-775	550	27	)	)	PUNCT
ijassa-775	550	28	,	,	PUNCT
ijassa-775	550	29	1791	1791	NUM
ijassa-775	550	30	-	-	SYM
ijassa-775	550	31	1804	1804	NUM
ijassa-775	550	32	.	.	PUNCT
ijassa-775	551	1	24	24	NUM
ijassa-775	551	2	.	.	PUNCT
ijassa-775	551	3	polyak	polyak	PROPN
ijassa-775	551	4	b.t	b.t	PROPN
ijassa-775	551	5	.	.	PROPN
ijassa-775	551	6	,	,	PUNCT
ijassa-775	551	7	gryazina	gryazina	PROPN
ijassa-775	552	1	e.n	e.n	PROPN
ijassa-775	552	2	.	.	PROPN
ijassa-775	552	3	,	,	PUNCT
ijassa-775	552	4	iterations	iteration	NOUN
ijassa-775	552	5	of	of	ADP
ijassa-775	552	6	perturbed	perturb	VERB
ijassa-775	552	7	tent	tent	NOUN
ijassa-775	552	8	maps	map	NOUN
ijassa-775	552	9	with	with	ADP
ijassa-775	552	10	applications	application	NOUN
ijassa-775	552	11	to	to	PART
ijassa-775	552	12	chaos	chaos	VERB
ijassa-775	552	13	control	control	NOUN
ijassa-775	552	14	,	,	PUNCT
ijassa-775	552	15	ifac	ifac	NOUN
ijassa-775	552	16	proceedings	proceeding	NOUN
ijassa-775	552	17	,	,	PUNCT
ijassa-775	552	18	volume	volume	NOUN
ijassa-775	552	19	39	39	NUM
ijassa-775	552	20	,	,	PUNCT
ijassa-775	552	21	issue	issue	NOUN
ijassa-775	552	22	8	8	NUM
ijassa-775	552	23	,	,	PUNCT
ijassa-775	552	24	2006	2006	NUM
ijassa-775	552	25	,	,	PUNCT
ijassa-775	552	26	pp	pp	ADV
ijassa-775	552	27	125	125	NUM
ijassa-775	552	28	-	-	SYM
ijassa-775	552	29	129	129	NUM
ijassa-775	552	30	.	.	PUNCT
ijassa-775	553	1	25	25	NUM
ijassa-775	553	2	.	.	PUNCT
ijassa-775	553	3	pyragas	pyragas	PROPN
ijassa-775	553	4	k.	k.	PROPN
ijassa-775	553	5	,	,	PUNCT
ijassa-775	553	6	continuous	continuous	ADJ
ijassa-775	553	7	control	control	NOUN
ijassa-775	553	8	of	of	ADP
ijassa-775	553	9	chaos	chaos	NOUN
ijassa-775	553	10	by	by	ADP
ijassa-775	553	11	self	self	NOUN
ijassa-775	553	12	controlling	control	VERB
ijassa-775	553	13	feedback	feedback	NOUN
ijassa-775	553	14	.	.	PUNCT
ijassa-775	554	1	phys	phy	NOUN
ijassa-775	554	2	.	.	PUNCT
ijassa-775	555	1	rev	rev	PROPN
ijassa-775	555	2	.	.	PROPN
ijassa-775	555	3	lett	lett	PROPN
ijassa-775	555	4	.	.	PUNCT
ijassa-775	556	1	a	a	DET
ijassa-775	556	2	170	170	NUM
ijassa-775	556	3	,	,	PUNCT
ijassa-775	556	4	421	421	NUM
ijassa-775	556	5	-	-	SYM
ijassa-775	556	6	428	428	NUM
ijassa-775	556	7	(	(	PUNCT
ijassa-775	556	8	1992	1992	NUM
ijassa-775	556	9	)	)	PUNCT
ijassa-775	556	10	.	.	PUNCT
ijassa-775	557	1	26	26	NUM
ijassa-775	557	2	.	.	X
ijassa-775	557	3	sprott	sprott	PROPN
ijassa-775	557	4	,	,	PUNCT
ijassa-775	557	5	j.	j.	PROPN
ijassa-775	557	6	c.	c.	PROPN
ijassa-775	557	7	,	,	PUNCT
ijassa-775	557	8	chaos	chaos	NOUN
ijassa-775	557	9	and	and	CCONJ
ijassa-775	557	10	time	time	NOUN
ijassa-775	557	11	-	-	PUNCT
ijassa-775	557	12	series	series	NOUN
ijassa-775	557	13	analysis	analysis	NOUN
ijassa-775	557	14	,	,	PUNCT
ijassa-775	557	15	oxford	oxford	PROPN
ijassa-775	557	16	university	university	PROPN
ijassa-775	557	17	press	press	NOUN
ijassa-775	557	18	,	,	PUNCT
ijassa-775	557	19	oxford	oxford	NOUN
ijassa-775	557	20	,	,	PUNCT
ijassa-775	557	21	vol	vol	NOUN
ijassa-775	557	22	.	.	PROPN
ijassa-775	557	23	69	69	NUM
ijassa-775	557	24	(	(	PUNCT
ijassa-775	557	25	2003	2003	NUM
ijassa-775	557	26	)	)	PUNCT
ijassa-775	557	27	.	.	PUNCT
ijassa-775	558	1	27	27	NUM
ijassa-775	558	2	.	.	PUNCT
ijassa-775	558	3	shalby	shalby	PROPN
ijassa-775	558	4	l.	l.	PROPN
ijassa-775	558	5	,	,	PUNCT
ijassa-775	558	6	predictive	predictive	ADJ
ijassa-775	558	7	feedback	feedback	NOUN
ijassa-775	558	8	control	control	NOUN
ijassa-775	558	9	method	method	NOUN
ijassa-775	558	10	for	for	ADP
ijassa-775	558	11	stabilization	stabilization	NOUN
ijassa-775	558	12	of	of	ADP
ijassa-775	558	13	continuous	continuous	ADJ
ijassa-775	558	14	time	time	NOUN
ijassa-775	558	15	systems	system	NOUN
ijassa-775	558	16	.	.	PUNCT
ijassa-775	559	1	advances	advance	NOUN
ijassa-775	559	2	in	in	ADP
ijassa-775	559	3	systems	system	NOUN
ijassa-775	559	4	science	science	NOUN
ijassa-775	559	5	and	and	CCONJ
ijassa-775	559	6	applications	application	NOUN
ijassa-775	559	7	.	.	PUNCT
ijassa-775	560	1	17	17	NUM
ijassa-775	560	2	(	(	PUNCT
ijassa-775	560	3	2017	2017	NUM
ijassa-775	560	4	)	)	PUNCT
ijassa-775	560	5	,	,	PUNCT
ijassa-775	560	6	pp	pp	ADP
ijassa-775	560	7	1	1	NUM
ijassa-775	560	8	-	-	SYM
ijassa-775	560	9	13	13	NUM
ijassa-775	560	10	.	.	PUNCT
ijassa-775	561	1	28	28	NUM
ijassa-775	561	2	.	.	PUNCT
ijassa-775	562	1	ushio	ushio	PROPN
ijassa-775	562	2	t.	t.	PROPN
ijassa-775	562	3	,	,	PUNCT
ijassa-775	562	4	limitation	limitation	NOUN
ijassa-775	562	5	of	of	ADP
ijassa-775	562	6	delayed	delay	VERB
ijassa-775	562	7	feedback	feedback	NOUN
ijassa-775	562	8	control	control	NOUN
ijassa-775	562	9	in	in	ADP
ijassa-775	562	10	nonlinear	nonlinear	ADJ
ijassa-775	562	11	discrete	discrete	ADJ
ijassa-775	562	12	-	-	PUNCT
ijassa-775	562	13	time	time	NOUN
ijassa-775	562	14	systems	system	NOUN
ijassa-775	562	15	.	.	PUNCT
ijassa-775	563	1	ieee	ieee	PROPN
ijassa-775	563	2	trans	trans	PROPN
ijassa-775	563	3	circuits	circuit	VERB
ijassa-775	563	4	syst	syst	PROPN
ijassa-775	563	5	i	i	PRON
ijassa-775	563	6	1996	1996	NUM
ijassa-775	563	7	;	;	PUNCT
ijassa-775	563	8	vol	vol	NOUN
ijassa-775	563	9	.	.	PROPN
ijassa-775	564	1	43	43	NUM
ijassa-775	564	2	(	(	PUNCT
ijassa-775	564	3	9	9	NUM
ijassa-775	564	4	)	)	PUNCT
ijassa-775	564	5	,	,	PUNCT
ijassa-775	564	6	815	815	NUM
ijassa-775	564	7	-	-	SYM
ijassa-775	564	8	816	816	NUM
ijassa-775	564	9	.	.	PUNCT
ijassa-775	565	1	29	29	NUM
ijassa-775	565	2	.	.	PUNCT
ijassa-775	566	1	ushio	ushio	PROPN
ijassa-775	566	2	t.	t.	PROPN
ijassa-775	566	3	,	,	PUNCT
ijassa-775	566	4	yamamoto	yamamoto	PROPN
ijassa-775	566	5	,	,	PUNCT
ijassa-775	566	6	s.	s.	PROPN
ijassa-775	566	7	,	,	PUNCT
ijassa-775	566	8	prediction	prediction	NOUN
ijassa-775	566	9	-	-	PUNCT
ijassa-775	566	10	based	base	VERB
ijassa-775	566	11	control	control	NOUN
ijassa-775	566	12	of	of	ADP
ijassa-775	566	13	chaos	chaos	NOUN
ijassa-775	566	14	.	.	PUNCT
ijassa-775	567	1	phys	phy	NOUN
ijassa-775	567	2	.	.	PUNCT
ijassa-775	568	1	letts	letts	PROPN
ijassa-775	568	2	.	.	PUNCT
ijassa-775	569	1	a.	a.	NOUN
ijassa-775	569	2	264(1):439446(1999	264(1):439446(1999	PROPN
ijassa-775	569	3	)	)	PUNCT
ijassa-775	569	4	.	.	PUNCT
ijassa-775	570	1	30	30	NUM
ijassa-775	570	2	.	.	PUNCT
ijassa-775	570	3	vieira	vieira	PROPN
ijassa-775	570	4	de	de	PROPN
ijassa-775	570	5	s.m	s.m	PROPN
ijassa-775	570	6	.	.	PROPN
ijassa-775	570	7	,	,	PUNCT
ijassa-775	570	8	lichtenberg	lichtenberg	PROPN
ijassa-775	570	9	a.j	a.j	AUX
ijassa-775	570	10	.	.	PROPN
ijassa-775	570	11	controlling	control	VERB
ijassa-775	570	12	chaos	chaos	NOUN
ijassa-775	570	13	using	use	VERB
ijassa-775	570	14	nonlinear	nonlinear	ADJ
ijassa-775	570	15	feedback	feedback	NOUN
ijassa-775	570	16	with	with	ADP
ijassa-775	570	17	delay	delay	NOUN
ijassa-775	570	18	.	.	PUNCT
ijassa-775	571	1	phys	phy	NOUN
ijassa-775	571	2	.	.	PUNCT
ijassa-775	572	1	rev	rev	PROPN
ijassa-775	572	2	.	.	PROPN
ijassa-775	573	1	e	e	PROPN
ijassa-775	573	2	54	54	NUM
ijassa-775	573	3	,	,	PUNCT
ijassa-775	573	4	1200	1200	NUM
ijassa-775	573	5	-	-	SYM
ijassa-775	573	6	1207	1207	NUM
ijassa-775	573	7	(	(	PUNCT
ijassa-775	573	8	1996	1996	NUM
ijassa-775	573	9	)	)	PUNCT
ijassa-775	573	10	.	.	PUNCT
ijassa-775	574	1	31	31	NUM
ijassa-775	574	2	.	.	PUNCT
ijassa-775	575	1	ypma	ypma	PROPN
ijassa-775	575	2	t.j	t.j	PROPN
ijassa-775	575	3	.	.	PROPN
ijassa-775	575	4	,	,	PUNCT
ijassa-775	575	5	historical	historical	ADJ
ijassa-775	575	6	development	development	NOUN
ijassa-775	575	7	of	of	ADP
ijassa-775	575	8	the	the	DET
ijassa-775	575	9	newton	newton	PROPN
ijassa-775	575	10	-	-	PUNCT
ijassa-775	575	11	raphson	raphson	PROPN
ijassa-775	575	12	method	method	NOUN
ijassa-775	575	13	.	.	PUNCT
ijassa-775	576	1	siam	siam	PROPN
ijassa-775	576	2	rev	rev	PROPN
ijassa-775	576	3	.	.	PROPN
ijassa-775	576	4	,	,	PUNCT
ijassa-775	576	5	(	(	PUNCT
ijassa-775	576	6	1995	1995	NUM
ijassa-775	576	7	)	)	PUNCT
ijassa-775	576	8	37:531	37:531	NUM
ijassa-775	576	9	-	-	SYM
ijassa-775	576	10	551	551	NUM
ijassa-775	576	11	.	.	PUNCT
ijassa-775	577	1	32	32	NUM
ijassa-775	577	2	.	.	PUNCT
ijassa-775	578	1	zhu	zhu	PROPN
ijassa-775	578	2	j.	j.	PROPN
ijassa-775	578	3	,	,	PUNCT
ijassa-775	578	4	tian	tian	PROPN
ijassa-775	578	5	y.p	y.p	PROPN
ijassa-775	578	6	.	.	PROPN
ijassa-775	578	7	,	,	PUNCT
ijassa-775	578	8	necessary	necessary	ADJ
ijassa-775	578	9	and	and	CCONJ
ijassa-775	578	10	sufficient	sufficient	ADJ
ijassa-775	578	11	conditions	condition	NOUN
ijassa-775	578	12	for	for	ADP
ijassa-775	578	13	stabilizability	stabilizability	NOUN
ijassa-775	578	14	of	of	ADP
ijassa-775	578	15	discrete	discrete	ADJ
ijassa-775	578	16	-	-	PUNCT
ijassa-775	578	17	time	time	NOUN
ijassa-775	578	18	systems	system	NOUN
ijassa-775	578	19	via	via	ADP
ijassa-775	578	20	delayed	delay	VERB
ijassa-775	578	21	feedback	feedback	NOUN
ijassa-775	578	22	control	control	NOUN
ijassa-775	578	23	.	.	PUNCT
ijassa-775	579	1	phys	phy	NOUN
ijassa-775	579	2	lett	lett	PROPN
ijassa-775	579	3	a	a	DET
ijassa-775	579	4	2005	2005	NUM
ijassa-775	579	5	;	;	PUNCT
ijassa-775	579	6	vol	vol	NOUN
ijassa-775	579	7	.	.	PUNCT
ijassa-775	580	1	343	343	NUM
ijassa-775	580	2	(	(	PUNCT
ijassa-775	580	3	1	1	NUM
ijassa-775	580	4	-	-	SYM
ijassa-775	580	5	3	3	NUM
ijassa-775	580	6	)	)	PUNCT
ijassa-775	580	7	,	,	PUNCT
ijassa-775	580	8	95	95	NUM
ijassa-775	580	9	-	-	SYM
ijassa-775	580	10	107	107	NUM
ijassa-775	580	11	.	.	PUNCT
ijassa-775	581	1	copyright	copyright	NOUN
ijassa-775	581	2	c	c	ADP
ijassa-775	581	3	©	©	PROPN
ijassa-775	581	4	2020	2020	NUM
ijassa-775	581	5	assa	assa	NOUN
ijassa-775	581	6	.	.	PUNCT
ijassa-775	582	1	adv	adv	PROPN
ijassa-775	582	2	syst	syst	PROPN
ijassa-775	582	3	sci	sci	PROPN
ijassa-775	582	4	appl	appl	PROPN
ijassa-775	582	5	(	(	PUNCT
ijassa-775	582	6	2020	2020	NUM
ijassa-775	582	7	)	)	PUNCT
ijassa-775	582	8	introduction	introduction	NOUN
ijassa-775	582	9	problem	problem	NOUN
ijassa-775	582	10	statement	statement	NOUN
ijassa-775	582	11	constructing	construct	VERB
ijassa-775	582	12	the	the	DET
ijassa-775	582	13	jacobi	jacobi	PROPN
ijassa-775	582	14	matrix	matrix	NOUN
ijassa-775	582	15	for	for	ADP
ijassa-775	582	16	a	a	DET
ijassa-775	582	17	controlled	control	VERB
ijassa-775	582	18	system	system	NOUN
ijassa-775	582	19	main	main	ADJ
ijassa-775	582	20	result	result	NOUN
ijassa-775	582	21	case	case	NOUN
ijassa-775	582	22	m={1,	m={1,	VERB
ijassa-775	582	23	…	…	SYM
ijassa-775	582	24	,m	,m	ADJ
ijassa-775	582	25	}	}	PUNCT
ijassa-775	582	26	case	case	NOUN
ijassa-775	582	27	m={z	m={z	NOUN
ijassa-775	582	28	:	:	PUNCT
ijassa-775	582	29	rez0}d	rez0}d	VERB
ijassa-775	582	30	case	case	NOUN
ijassa-775	582	31	m	m	NOUN
ijassa-775	582	32	=	=	NOUN
ijassa-775	582	33	d	d	X
ijassa-775	582	34	{	{	PUNCT
ijassa-775	582	35	*	*	PUNCT
ijassa-775	582	36	}	}	PUNCT
ijassa-775	582	37	,	,	PUNCT
ijassa-775	582	38	|*|>1	|*|>1	NOUN
ijassa-775	582	39	15	15	NUM
ijassa-775	582	40	case	case	NOUN
ijassa-775	582	41	m	m	NOUN
ijassa-775	582	42	=	=	NOUN
ijassa-775	582	43	d	d	X
ijassa-775	582	44	{	{	PUNCT
ijassa-775	582	45	*	*	ADJ
ijassa-775	582	46	,	,	PUNCT
ijassa-775	582	47	*	*	PUNCT
ijassa-775	582	48	}	}	PUNCT
ijassa-775	582	49	,	,	PUNCT
ijassa-775	582	50	|*|>1	|*|>1	PROPN
ijassa-775	582	51	case	case	NOUN
ijassa-775	582	52	t=1	t=1	ADP
ijassa-775	582	53	,	,	PUNCT
ijassa-775	582	54	m="4262304	m="4262304	PROPN
ijassa-775	582	55	-*,*"5263305	-*,*"5263305	PROPN
ijassa-775	582	56	,	,	PUNCT
ijassa-775	583	1	m="4262304	m="4262304	PROPN
ijassa-775	583	2	-*,1"5263305	-*,1"5263305	PROPN
ijassa-775	583	3	the	the	DET
ijassa-775	583	4	general	general	ADJ
ijassa-775	583	5	case	case	NOUN
ijassa-775	583	6	examples	example	VERB
ijassa-775	583	7	logistic	logistic	ADJ
ijassa-775	583	8	mapping	mapping	NOUN
ijassa-775	583	9	triangular	triangular	NOUN
ijassa-775	583	10	mapping	mapping	NOUN
ijassa-775	583	11	burgers	burger	NOUN
ijassa-775	583	12	mapping	mapping	NOUN
ijassa-775	583	13	tinkerbell	tinkerbell	PROPN
ijassa-775	583	14	mapping	mapping	NOUN
ijassa-775	583	15	gingerbredman	gingerbredman	NOUN
ijassa-775	583	16	mapping	mapping	NOUN
ijassa-775	583	17	prey	prey	NOUN
ijassa-775	583	18	-	-	PUNCT
ijassa-775	583	19	predator	predator	NOUN
ijassa-775	583	20	mapping	mapping	NOUN
ijassa-775	583	21	delayed	delay	VERB
ijassa-775	583	22	logistic	logistic	ADJ
ijassa-775	583	23	mapping	mapping	NOUN
ijassa-775	583	24	hénon	hénon	PROPN
ijassa-775	583	25	mapping	mapping	NOUN
ijassa-775	583	26	elhadj	elhadj	PROPN
ijassa-775	583	27	-	-	PUNCT
ijassa-775	583	28	sprott	sprott	PROPN
ijassa-775	583	29	mapping	mapping	NOUN
ijassa-775	583	30	lozi	lozi	NOUN
ijassa-775	583	31	mapping	mapping	NOUN
ijassa-775	583	32	ikeda	ikeda	PROPN
ijassa-775	583	33	mapping	mapping	NOUN
ijassa-775	583	34	holmes	holmes	PROPN
ijassa-775	583	35	cubic	cubic	PROPN
ijassa-775	583	36	mapping	mapping	NOUN
ijassa-775	583	37	multihorseshoe	multihorseshoe	NOUN
ijassa-775	583	38	mapping	mapping	NOUN
ijassa-775	583	39	conclusion	conclusion	NOUN