id	sid	tid	token	lemma	pos
ijassa-837	1	1	adv	adv	PROPN
ijassa-837	1	2	syst	syst	PROPN
ijassa-837	1	3	sci	sci	PROPN
ijassa-837	1	4	appl	appl	PROPN
ijassa-837	1	5	2021	2021	NUM
ijassa-837	1	6	;	;	PUNCT
ijassa-837	1	7	02:8–19	02:8–19	NUM
ijassa-837	1	8	published	publish	VERB
ijassa-837	1	9	online	online	ADV
ijassa-837	1	10	at	at	ADP
ijassa-837	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADJ
ijassa-837	1	12	.	.	PUNCT
ijassa-837	2	1	uncertain	uncertain	ADJ
ijassa-837	2	2	controllability	controllability	NOUN
ijassa-837	2	3	and	and	CCONJ
ijassa-837	2	4	observability	observability	NOUN
ijassa-837	2	5	of	of	ADP
ijassa-837	2	6	an	an	DET
ijassa-837	2	7	optimal	optimal	ADJ
ijassa-837	2	8	control	control	NOUN
ijassa-837	2	9	model	model	NOUN
ijassa-837	2	10	tolulope	tolulope	NOUN
ijassa-837	2	11	latunde1	latunde1	PROPN
ijassa-837	2	12	*	*	PROPN
ijassa-837	2	13	,	,	PUNCT
ijassa-837	2	14	adam	adam	PROPN
ijassa-837	2	15	a.	a.	PROPN
ijassa-837	2	16	ishaq2	ishaq2	PROPN
ijassa-837	2	17	,	,	PUNCT
ijassa-837	2	18	adedayo	adedayo	PROPN
ijassa-837	2	19	f.	f.	PROPN
ijassa-837	2	20	adedotun3	adedotun3	PROPN
ijassa-837	2	21	,	,	PUNCT
ijassa-837	2	22	joel	joel	PROPN
ijassa-837	2	23	o.	o.	PROPN
ijassa-837	2	24	ajinuhi4	ajinuhi4	PROPN
ijassa-837	2	25	,	,	PUNCT
ijassa-837	2	26	olumuyiwa	olumuyiwa	PROPN
ijassa-837	2	27	j.	j.	PROPN
ijassa-837	2	28	peter5	peter5	PROPN
ijassa-837	2	29	1department	1department	NUM
ijassa-837	2	30	of	of	ADP
ijassa-837	2	31	mathematics	mathematic	NOUN
ijassa-837	2	32	,	,	PUNCT
ijassa-837	2	33	federal	federal	ADJ
ijassa-837	2	34	university	university	NOUN
ijassa-837	2	35	oye	oye	PROPN
ijassa-837	2	36	-	-	PUNCT
ijassa-837	2	37	ekiti	ekiti	PROPN
ijassa-837	2	38	,	,	PUNCT
ijassa-837	2	39	oye	oye	NOUN
ijassa-837	2	40	-	-	PUNCT
ijassa-837	2	41	ekiti	ekiti	PROPN
ijassa-837	2	42	,	,	PUNCT
ijassa-837	2	43	nigeria	nigeria	PROPN
ijassa-837	2	44	2department	2department	NUM
ijassa-837	2	45	of	of	ADP
ijassa-837	2	46	physical	physical	ADJ
ijassa-837	2	47	sciences	sciences	PROPN
ijassa-837	2	48	,	,	PUNCT
ijassa-837	2	49	al	al	PROPN
ijassa-837	2	50	-	-	PUNCT
ijassa-837	2	51	hikmah	hikmah	PROPN
ijassa-837	2	52	university	university	NOUN
ijassa-837	2	53	,	,	PUNCT
ijassa-837	2	54	ilorin	ilorin	NOUN
ijassa-837	2	55	,	,	PUNCT
ijassa-837	2	56	nigeria	nigeria	PROPN
ijassa-837	3	1	3department	3department	NUM
ijassa-837	3	2	of	of	ADP
ijassa-837	3	3	mathematical	mathematical	ADJ
ijassa-837	3	4	sciences	science	NOUN
ijassa-837	3	5	,	,	PUNCT
ijassa-837	3	6	olabisi	olabisi	ADJ
ijassa-837	3	7	onabanjo	onabanjo	PROPN
ijassa-837	3	8	university	university	NOUN
ijassa-837	3	9	,	,	PUNCT
ijassa-837	3	10	ago	ago	ADV
ijassa-837	3	11	-	-	PUNCT
ijassa-837	3	12	iwoye	iwoye	VERB
ijassa-837	3	13	,	,	PUNCT
ijassa-837	3	14	nigeria	nigeria	PRON
ijassa-837	3	15	4department	4department	NUM
ijassa-837	3	16	of	of	ADP
ijassa-837	3	17	mathematics	mathematic	NOUN
ijassa-837	3	18	,	,	PUNCT
ijassa-837	3	19	federal	federal	ADJ
ijassa-837	3	20	university	university	PROPN
ijassa-837	3	21	of	of	ADP
ijassa-837	3	22	technology	technology	NOUN
ijassa-837	3	23	,	,	PUNCT
ijassa-837	3	24	minna	minna	NOUN
ijassa-837	3	25	,	,	PUNCT
ijassa-837	3	26	nigeria	nigeria	PROPN
ijassa-837	3	27	5	5	NUM
ijassa-837	3	28	department	department	NOUN
ijassa-837	3	29	of	of	ADP
ijassa-837	3	30	mathematics	mathematics	PROPN
ijassa-837	3	31	,	,	PUNCT
ijassa-837	3	32	university	university	NOUN
ijassa-837	3	33	of	of	ADP
ijassa-837	3	34	ilorin	ilorin	NOUN
ijassa-837	3	35	,	,	PUNCT
ijassa-837	3	36	ilorin	ilorin	PROPN
ijassa-837	3	37	,	,	PUNCT
ijassa-837	3	38	nigeria	nigeria	PROPN
ijassa-837	4	1	abstract	abstract	NOUN
ijassa-837	4	2	:	:	PUNCT
ijassa-837	4	3	the	the	DET
ijassa-837	4	4	interest	interest	NOUN
ijassa-837	4	5	of	of	ADP
ijassa-837	4	6	this	this	DET
ijassa-837	4	7	paper	paper	NOUN
ijassa-837	4	8	is	be	AUX
ijassa-837	4	9	to	to	PART
ijassa-837	4	10	examine	examine	VERB
ijassa-837	4	11	the	the	DET
ijassa-837	4	12	controllability	controllability	NOUN
ijassa-837	4	13	and	and	CCONJ
ijassa-837	4	14	observability	observability	NOUN
ijassa-837	4	15	of	of	ADP
ijassa-837	4	16	a	a	DET
ijassa-837	4	17	control	control	NOUN
ijassa-837	4	18	system	system	NOUN
ijassa-837	4	19	in	in	ADP
ijassa-837	4	20	the	the	DET
ijassa-837	4	21	configuration	configuration	NOUN
ijassa-837	4	22	state	state	NOUN
ijassa-837	4	23	-	-	PUNCT
ijassa-837	4	24	space	space	NOUN
ijassa-837	4	25	of	of	ADP
ijassa-837	4	26	an	an	DET
ijassa-837	4	27	uncertain	uncertain	ADJ
ijassa-837	4	28	optimal	optimal	ADJ
ijassa-837	4	29	control	control	NOUN
ijassa-837	4	30	system	system	NOUN
ijassa-837	4	31	.	.	PUNCT
ijassa-837	5	1	the	the	DET
ijassa-837	5	2	control	control	NOUN
ijassa-837	5	3	system	system	NOUN
ijassa-837	5	4	is	be	AUX
ijassa-837	5	5	designed	design	VERB
ijassa-837	5	6	based	base	VERB
ijassa-837	5	7	on	on	ADP
ijassa-837	5	8	the	the	DET
ijassa-837	5	9	realization	realization	NOUN
ijassa-837	5	10	of	of	ADP
ijassa-837	5	11	capital	capital	NOUN
ijassa-837	5	12	asset	asset	NOUN
ijassa-837	5	13	values	value	NOUN
ijassa-837	5	14	where	where	SCONJ
ijassa-837	5	15	a	a	DET
ijassa-837	5	16	special	special	ADJ
ijassa-837	5	17	case	case	NOUN
ijassa-837	5	18	of	of	ADP
ijassa-837	5	19	asset	asset	NOUN
ijassa-837	5	20	management	management	NOUN
ijassa-837	5	21	is	be	AUX
ijassa-837	5	22	modelled	model	VERB
ijassa-837	5	23	and	and	CCONJ
ijassa-837	5	24	optimized	optimize	VERB
ijassa-837	5	25	.	.	PUNCT
ijassa-837	6	1	thus	thus	ADV
ijassa-837	6	2	some	some	DET
ijassa-837	6	3	necessary	necessary	ADJ
ijassa-837	6	4	and	and	CCONJ
ijassa-837	6	5	sufficient	sufficient	ADJ
ijassa-837	6	6	conditions	condition	NOUN
ijassa-837	6	7	of	of	ADP
ijassa-837	6	8	the	the	DET
ijassa-837	6	9	controllability	controllability	NOUN
ijassa-837	6	10	and	and	CCONJ
ijassa-837	6	11	observability	observability	NOUN
ijassa-837	6	12	of	of	ADP
ijassa-837	6	13	the	the	DET
ijassa-837	6	14	deterministic	deterministic	ADJ
ijassa-837	6	15	systems	system	NOUN
ijassa-837	6	16	and	and	CCONJ
ijassa-837	6	17	the	the	DET
ijassa-837	6	18	corresponding	corresponding	ADJ
ijassa-837	6	19	uncertain	uncertain	ADJ
ijassa-837	6	20	systems	system	NOUN
ijassa-837	6	21	for	for	ADP
ijassa-837	6	22	the	the	DET
ijassa-837	6	23	case	case	NOUN
ijassa-837	6	24	of	of	ADP
ijassa-837	6	25	the	the	DET
ijassa-837	6	26	uncertain	uncertain	ADJ
ijassa-837	6	27	optimal	optimal	ADJ
ijassa-837	6	28	control	control	NOUN
ijassa-837	6	29	system	system	NOUN
ijassa-837	6	30	with	with	ADP
ijassa-837	6	31	application	application	NOUN
ijassa-837	6	32	in	in	ADP
ijassa-837	6	33	capital	capital	NOUN
ijassa-837	6	34	asset	asset	NOUN
ijassa-837	6	35	management	management	NOUN
ijassa-837	6	36	are	be	AUX
ijassa-837	6	37	considered	consider	VERB
ijassa-837	6	38	.	.	PUNCT
ijassa-837	7	1	keywords	keyword	NOUN
ijassa-837	7	2	:	:	PUNCT
ijassa-837	7	3	controllability	controllability	NOUN
ijassa-837	7	4	,	,	PUNCT
ijassa-837	7	5	observability	observability	NOUN
ijassa-837	7	6	,	,	PUNCT
ijassa-837	7	7	uncertain	uncertain	ADJ
ijassa-837	7	8	systems	system	NOUN
ijassa-837	7	9	,	,	PUNCT
ijassa-837	7	10	optimal	optimal	ADJ
ijassa-837	7	11	control	control	NOUN
ijassa-837	7	12	,	,	PUNCT
ijassa-837	7	13	capital	capital	NOUN
ijassa-837	7	14	asset	asset	NOUN
ijassa-837	7	15	management	management	NOUN
ijassa-837	7	16	1	1	NUM
ijassa-837	7	17	.	.	PUNCT
ijassa-837	7	18	introduction	introduction	NOUN
ijassa-837	7	19	controllability	controllability	NOUN
ijassa-837	7	20	and	and	CCONJ
ijassa-837	7	21	observability	observability	NOUN
ijassa-837	7	22	are	be	AUX
ijassa-837	7	23	important	important	ADJ
ijassa-837	7	24	properties	property	NOUN
ijassa-837	7	25	in	in	ADP
ijassa-837	7	26	control	control	NOUN
ijassa-837	7	27	systems	system	NOUN
ijassa-837	7	28	.	.	PUNCT
ijassa-837	8	1	they	they	PRON
ijassa-837	8	2	represent	represent	VERB
ijassa-837	8	3	the	the	DET
ijassa-837	8	4	ability	ability	NOUN
ijassa-837	8	5	to	to	PART
ijassa-837	8	6	move	move	VERB
ijassa-837	8	7	a	a	DET
ijassa-837	8	8	system	system	NOUN
ijassa-837	8	9	around	around	ADP
ijassa-837	8	10	its	its	PRON
ijassa-837	8	11	entire	entire	ADJ
ijassa-837	8	12	configuration	configuration	NOUN
ijassa-837	8	13	space	space	NOUN
ijassa-837	8	14	using	use	VERB
ijassa-837	8	15	certain	certain	ADJ
ijassa-837	8	16	manipulations	manipulation	NOUN
ijassa-837	8	17	.	.	PUNCT
ijassa-837	9	1	the	the	DET
ijassa-837	9	2	controllability	controllability	NOUN
ijassa-837	9	3	and	and	CCONJ
ijassa-837	9	4	observability	observability	NOUN
ijassa-837	9	5	of	of	ADP
ijassa-837	9	6	a	a	DET
ijassa-837	9	7	system	system	NOUN
ijassa-837	9	8	are	be	AUX
ijassa-837	9	9	mathematical	mathematical	ADJ
ijassa-837	9	10	duals	dual	NOUN
ijassa-837	9	11	that	that	PRON
ijassa-837	9	12	play	play	VERB
ijassa-837	9	13	important	important	ADJ
ijassa-837	9	14	roles	role	NOUN
ijassa-837	9	15	in	in	ADP
ijassa-837	9	16	control	control	NOUN
ijassa-837	9	17	problems	problem	NOUN
ijassa-837	9	18	such	such	ADJ
ijassa-837	9	19	as	as	ADP
ijassa-837	9	20	optimal	optimal	ADJ
ijassa-837	9	21	control	control	NOUN
ijassa-837	9	22	.	.	PUNCT
ijassa-837	10	1	these	these	PRON
ijassa-837	10	2	have	have	AUX
ijassa-837	10	3	played	play	VERB
ijassa-837	10	4	important	important	ADJ
ijassa-837	10	5	roles	role	NOUN
ijassa-837	10	6	in	in	ADP
ijassa-837	10	7	control	control	NOUN
ijassa-837	10	8	theories	theory	NOUN
ijassa-837	10	9	such	such	ADJ
ijassa-837	10	10	as	as	ADP
ijassa-837	10	11	in	in	ADP
ijassa-837	10	12	[	[	X
ijassa-837	10	13	1–5	1–5	NUM
ijassa-837	10	14	]	]	X
ijassa-837	10	15	.	.	PUNCT
ijassa-837	11	1	recently	recently	ADV
ijassa-837	11	2	,	,	PUNCT
ijassa-837	11	3	researchers	researcher	NOUN
ijassa-837	11	4	such	such	ADJ
ijassa-837	11	5	as	as	ADP
ijassa-837	11	6	[	[	X
ijassa-837	11	7	6–8	6–8	X
ijassa-837	11	8	]	]	X
ijassa-837	11	9	and	and	CCONJ
ijassa-837	11	10	a	a	DET
ijassa-837	11	11	host	host	NOUN
ijassa-837	11	12	of	of	ADP
ijassa-837	11	13	others	other	NOUN
ijassa-837	11	14	have	have	AUX
ijassa-837	11	15	been	be	AUX
ijassa-837	11	16	considering	consider	VERB
ijassa-837	11	17	controllability	controllability	NOUN
ijassa-837	11	18	and	and	CCONJ
ijassa-837	11	19	observability	observability	NOUN
ijassa-837	11	20	problems	problem	NOUN
ijassa-837	11	21	in	in	ADP
ijassa-837	11	22	dynamic	dynamic	ADJ
ijassa-837	11	23	systems	system	NOUN
ijassa-837	11	24	.	.	PUNCT
ijassa-837	12	1	however	however	ADV
ijassa-837	12	2	,	,	PUNCT
ijassa-837	12	3	most	most	ADJ
ijassa-837	12	4	works	work	NOUN
ijassa-837	12	5	done	do	VERB
ijassa-837	12	6	in	in	ADP
ijassa-837	12	7	this	this	DET
ijassa-837	12	8	area	area	NOUN
ijassa-837	12	9	have	have	AUX
ijassa-837	12	10	concentrated	concentrate	VERB
ijassa-837	12	11	on	on	ADP
ijassa-837	12	12	the	the	DET
ijassa-837	12	13	deterministic	deterministic	ADJ
ijassa-837	12	14	and	and	CCONJ
ijassa-837	12	15	stochastic	stochastic	ADJ
ijassa-837	12	16	controllability	controllability	NOUN
ijassa-837	12	17	and	and	CCONJ
ijassa-837	12	18	observability	observability	NOUN
ijassa-837	12	19	problems	problem	NOUN
ijassa-837	12	20	.	.	PUNCT
ijassa-837	13	1	in	in	ADP
ijassa-837	13	2	this	this	DET
ijassa-837	13	3	work	work	NOUN
ijassa-837	13	4	,	,	PUNCT
ijassa-837	13	5	uncertain	uncertain	ADJ
ijassa-837	13	6	controllability	controllability	NOUN
ijassa-837	13	7	and	and	CCONJ
ijassa-837	13	8	observability	observability	NOUN
ijassa-837	13	9	of	of	ADP
ijassa-837	13	10	dynamic	dynamic	ADJ
ijassa-837	13	11	systems	system	NOUN
ijassa-837	13	12	are	be	AUX
ijassa-837	13	13	carried	carry	VERB
ijassa-837	13	14	out	out	ADP
ijassa-837	13	15	by	by	ADP
ijassa-837	13	16	formulating	formulate	VERB
ijassa-837	13	17	a	a	DET
ijassa-837	13	18	capital	capital	NOUN
ijassa-837	13	19	asset	asset	NOUN
ijassa-837	13	20	management	management	NOUN
ijassa-837	13	21	control	control	NOUN
ijassa-837	13	22	problem	problem	NOUN
ijassa-837	13	23	for	for	ADP
ijassa-837	13	24	the	the	DET
ijassa-837	13	25	uncertain	uncertain	ADJ
ijassa-837	13	26	dynamic	dynamic	ADJ
ijassa-837	13	27	system	system	NOUN
ijassa-837	13	28	such	such	ADJ
ijassa-837	13	29	that	that	SCONJ
ijassa-837	13	30	the	the	DET
ijassa-837	13	31	uncertain	uncertain	ADJ
ijassa-837	13	32	dynamic	dynamic	ADJ
ijassa-837	13	33	system	system	NOUN
ijassa-837	13	34	is	be	AUX
ijassa-837	13	35	limited	limit	VERB
ijassa-837	13	36	to	to	ADP
ijassa-837	13	37	systems	system	NOUN
ijassa-837	13	38	involving	involve	VERB
ijassa-837	13	39	uncertain	uncertain	ADJ
ijassa-837	13	40	processes	process	NOUN
ijassa-837	13	41	.	.	PUNCT
ijassa-837	14	1	the	the	DET
ijassa-837	14	2	choice	choice	NOUN
ijassa-837	14	3	of	of	ADP
ijassa-837	14	4	uncertainty	uncertainty	NOUN
ijassa-837	14	5	theory	theory	NOUN
ijassa-837	14	6	over	over	ADP
ijassa-837	14	7	the	the	DET
ijassa-837	14	8	conventional	conventional	ADJ
ijassa-837	14	9	probability	probability	NOUN
ijassa-837	14	10	theory	theory	NOUN
ijassa-837	14	11	exists	exist	VERB
ijassa-837	14	12	when	when	SCONJ
ijassa-837	14	13	the	the	DET
ijassa-837	14	14	sample	sample	NOUN
ijassa-837	14	15	size	size	NOUN
ijassa-837	14	16	is	be	AUX
ijassa-837	14	17	small	small	ADJ
ijassa-837	14	18	to	to	PART
ijassa-837	14	19	estimate	estimate	VERB
ijassa-837	14	20	a	a	DET
ijassa-837	14	21	probability	probability	NOUN
ijassa-837	14	22	distribution	distribution	NOUN
ijassa-837	14	23	and	and	CCONJ
ijassa-837	14	24	degree	degree	NOUN
ijassa-837	14	25	beliefs	belief	NOUN
ijassa-837	14	26	are	be	AUX
ijassa-837	14	27	ascertained	ascertain	VERB
ijassa-837	14	28	from	from	ADP
ijassa-837	14	29	experts	expert	NOUN
ijassa-837	14	30	to	to	PART
ijassa-837	14	31	work	work	VERB
ijassa-837	14	32	in	in	ADP
ijassa-837	14	33	place	place	NOUN
ijassa-837	14	34	of	of	ADP
ijassa-837	14	35	frequency	frequency	NOUN
ijassa-837	14	36	since	since	SCONJ
ijassa-837	14	37	human	human	ADJ
ijassa-837	14	38	beings	being	NOUN
ijassa-837	14	39	always	always	ADV
ijassa-837	14	40	over	over	ADP
ijassa-837	14	41	-	-	PUNCT
ijassa-837	14	42	weigh	weigh	VERB
ijassa-837	14	43	unlikely	unlikely	ADJ
ijassa-837	14	44	events	event	NOUN
ijassa-837	14	45	.	.	PUNCT
ijassa-837	15	1	here	here	ADV
ijassa-837	15	2	,	,	PUNCT
ijassa-837	15	3	the	the	DET
ijassa-837	15	4	general	general	ADJ
ijassa-837	15	5	controllability	controllability	NOUN
ijassa-837	15	6	and	and	CCONJ
ijassa-837	15	7	observability	observability	NOUN
ijassa-837	15	8	for	for	ADP
ijassa-837	15	9	the	the	DET
ijassa-837	15	10	uncertain	uncertain	ADJ
ijassa-837	15	11	system	system	NOUN
ijassa-837	15	12	in	in	ADP
ijassa-837	15	13	uncertainty	uncertainty	NOUN
ijassa-837	15	14	theory	theory	NOUN
ijassa-837	15	15	are	be	AUX
ijassa-837	15	16	presented	present	VERB
ijassa-837	15	17	based	base	VERB
ijassa-837	15	18	on	on	ADP
ijassa-837	15	19	klamka	klamka	NOUN
ijassa-837	15	20	and	and	CCONJ
ijassa-837	15	21	mahmudov	mahmudov	PROPN
ijassa-837	15	22	works	work	NOUN
ijassa-837	15	23	.	.	PUNCT
ijassa-837	16	1	∗corresponding	∗corresponde	VERB
ijassa-837	16	2	author	author	NOUN
ijassa-837	16	3	:	:	PUNCT
ijassa-837	16	4	tolulope.latunde@fuoye.edu.ng	tolulope.latunde@fuoye.edu.ng	NOUN
ijassa-837	16	5	uncertain	uncertain	ADJ
ijassa-837	16	6	controllability	controllability	NOUN
ijassa-837	16	7	and	and	CCONJ
ijassa-837	16	8	observability	observability	NOUN
ijassa-837	16	9	of	of	ADP
ijassa-837	16	10	an	an	DET
ijassa-837	16	11	optimal	optimal	ADJ
ijassa-837	16	12	control	control	NOUN
ijassa-837	16	13	model	model	NOUN
ijassa-837	16	14	9	9	NUM
ijassa-837	16	15	2	2	NUM
ijassa-837	16	16	.	.	PUNCT
ijassa-837	17	1	preliminaries	preliminary	NOUN
ijassa-837	17	2	uncertainty	uncertainty	NOUN
ijassa-837	17	3	theory	theory	NOUN
ijassa-837	17	4	is	be	AUX
ijassa-837	17	5	a	a	DET
ijassa-837	17	6	branch	branch	NOUN
ijassa-837	17	7	of	of	ADP
ijassa-837	17	8	mathematics	mathematic	NOUN
ijassa-837	17	9	for	for	ADP
ijassa-837	17	10	modelling	model	VERB
ijassa-837	17	11	belief	belief	NOUN
ijassa-837	17	12	degrees	degree	NOUN
ijassa-837	17	13	.	.	PUNCT
ijassa-837	18	1	the	the	DET
ijassa-837	18	2	theory	theory	NOUN
ijassa-837	18	3	is	be	AUX
ijassa-837	18	4	based	base	VERB
ijassa-837	18	5	on	on	ADP
ijassa-837	18	6	some	some	DET
ijassa-837	18	7	concepts	concept	NOUN
ijassa-837	18	8	which	which	PRON
ijassa-837	18	9	may	may	AUX
ijassa-837	18	10	be	be	AUX
ijassa-837	18	11	referred	refer	VERB
ijassa-837	18	12	to	to	ADP
ijassa-837	18	13	[	[	X
ijassa-837	18	14	9	9	NUM
ijassa-837	18	15	]	]	PUNCT
ijassa-837	18	16	.	.	PUNCT
ijassa-837	19	1	for	for	ADP
ijassa-837	19	2	easy	easy	ADJ
ijassa-837	19	3	interpretation	interpretation	NOUN
ijassa-837	19	4	,	,	PUNCT
ijassa-837	19	5	some	some	PRON
ijassa-837	19	6	of	of	ADP
ijassa-837	19	7	the	the	DET
ijassa-837	19	8	concepts	concept	NOUN
ijassa-837	19	9	are	be	AUX
ijassa-837	19	10	given	give	VERB
ijassa-837	19	11	.	.	PUNCT
ijassa-837	20	1	let	let	VERB
ijassa-837	20	2	γ	γ	NOUN
ijassa-837	20	3	be	be	AUX
ijassa-837	20	4	a	a	DET
ijassa-837	20	5	nonempty	nonempty	ADV
ijassa-837	20	6	set	set	VERB
ijassa-837	20	7	and	and	CCONJ
ijassa-837	20	8	l	l	NOUN
ijassa-837	20	9	be	be	AUX
ijassa-837	20	10	a	a	DET
ijassa-837	20	11	σalgebra	σalgebra	NOUN
ijassa-837	20	12	over	over	ADP
ijassa-837	20	13	γ	γ	PROPN
ijassa-837	20	14	such	such	ADJ
ijassa-837	20	15	that	that	SCONJ
ijassa-837	20	16	(	(	PUNCT
ijassa-837	20	17	γ	γ	X
ijassa-837	20	18	,	,	PUNCT
ijassa-837	20	19	l	l	NOUN
ijassa-837	20	20	)	)	PUNCT
ijassa-837	20	21	is	be	AUX
ijassa-837	20	22	a	a	DET
ijassa-837	20	23	measurable	measurable	ADJ
ijassa-837	20	24	space	space	NOUN
ijassa-837	20	25	.	.	PUNCT
ijassa-837	21	1	each	each	DET
ijassa-837	21	2	element	element	NOUN
ijassa-837	21	3	λ	λ	PROPN
ijassa-837	21	4	∈	∈	PROPN
ijassa-837	21	5	l	l	NOUN
ijassa-837	21	6	is	be	AUX
ijassa-837	21	7	called	call	VERB
ijassa-837	21	8	an	an	DET
ijassa-837	21	9	event	event	NOUN
ijassa-837	21	10	.	.	PUNCT
ijassa-837	22	1	definition	definition	NOUN
ijassa-837	22	2	2.1	2.1	NUM
ijassa-837	22	3	:	:	PUNCT
ijassa-837	22	4	a	a	DET
ijassa-837	22	5	set	set	NOUN
ijassa-837	22	6	function	function	NOUN
ijassa-837	22	7	m	m	AUX
ijassa-837	22	8	defined	define	VERB
ijassa-837	22	9	on	on	ADP
ijassa-837	22	10	the	the	DET
ijassa-837	22	11	σ	σ	NOUN
ijassa-837	22	12	-	-	PUNCT
ijassa-837	22	13	algebra	algebra	NOUN
ijassa-837	22	14	over	over	ADP
ijassa-837	22	15	l	l	NOUN
ijassa-837	22	16	is	be	AUX
ijassa-837	22	17	called	call	VERB
ijassa-837	22	18	an	an	DET
ijassa-837	22	19	uncertain	uncertain	ADJ
ijassa-837	22	20	measure	measure	NOUN
ijassa-837	22	21	if	if	SCONJ
ijassa-837	22	22	it	it	PRON
ijassa-837	22	23	satisfies	satisfy	VERB
ijassa-837	22	24	the	the	DET
ijassa-837	22	25	following	follow	VERB
ijassa-837	22	26	axioms	axiom	NOUN
ijassa-837	22	27	:	:	PUNCT
ijassa-837	22	28	axiom	axiom	NOUN
ijassa-837	22	29	1	1	NUM
ijassa-837	22	30	.	.	PUNCT
ijassa-837	23	1	(	(	PUNCT
ijassa-837	23	2	normality	normality	NOUN
ijassa-837	23	3	axiom	axiom	NOUN
ijassa-837	23	4	):	):	PUNCT
ijassa-837	23	5	m{λ	m{λ	NOUN
ijassa-837	23	6	}	}	PUNCT
ijassa-837	23	7	=	=	SYM
ijassa-837	23	8	1	1	NUM
ijassa-837	23	9	for	for	ADP
ijassa-837	23	10	the	the	DET
ijassa-837	23	11	universal	universal	ADJ
ijassa-837	23	12	set	set	NOUN
ijassa-837	23	13	γ	γ	PROPN
ijassa-837	23	14	.	.	PROPN
ijassa-837	23	15	axiom	axiom	NOUN
ijassa-837	23	16	2	2	NUM
ijassa-837	23	17	.	.	PUNCT
ijassa-837	24	1	(	(	PUNCT
ijassa-837	24	2	duality	duality	NOUN
ijassa-837	24	3	axiom	axiom	NOUN
ijassa-837	24	4	):	):	PUNCT
ijassa-837	24	5	m{λ	m{λ	PROPN
ijassa-837	24	6	}	}	PUNCT
ijassa-837	24	7	+	+	X
ijassa-837	24	8	m{λc	m{λc	PROPN
ijassa-837	24	9	}	}	PUNCT
ijassa-837	24	10	=	=	SYM
ijassa-837	24	11	1	1	NUM
ijassa-837	24	12	for	for	ADP
ijassa-837	24	13	any	any	DET
ijassa-837	24	14	event	event	NOUN
ijassa-837	24	15	λ	λ	PROPN
ijassa-837	24	16	.	.	PROPN
ijassa-837	24	17	axiom	axiom	PROPN
ijassa-837	24	18	3	3	NUM
ijassa-837	24	19	.	.	PUNCT
ijassa-837	25	1	(	(	PUNCT
ijassa-837	25	2	subadditivity	subadditivity	NOUN
ijassa-837	25	3	axiom	axiom	NOUN
ijassa-837	25	4	):	):	PUNCT
ijassa-837	25	5	for	for	ADP
ijassa-837	25	6	every	every	DET
ijassa-837	25	7	countable	countable	ADJ
ijassa-837	25	8	sequence	sequence	NOUN
ijassa-837	25	9	of	of	ADP
ijassa-837	25	10	events	event	NOUN
ijassa-837	25	11	,	,	PUNCT
ijassa-837	25	12	λ1,λ2	λ1,λ2	PROPN
ijassa-837	25	13	,	,	PUNCT
ijassa-837	25	14	.	.	PUNCT
ijassa-837	25	15	.	.	PUNCT
ijassa-837	25	16	.	.	PUNCT
ijassa-837	26	1	,	,	PUNCT
ijassa-837	26	2	we	we	PRON
ijassa-837	26	3	have	have	AUX
ijassa-837	26	4	m	m	PROPN
ijassa-837	26	5	{	{	PUNCT
ijassa-837	26	6	∞⋃	∞⋃	PROPN
ijassa-837	26	7	i=1	i=1	PROPN
ijassa-837	26	8	λi	λi	NOUN
ijassa-837	26	9	}	}	PUNCT
ijassa-837	26	10	≤	≤	NOUN
ijassa-837	26	11	∞∑	∞∑	NUM
ijassa-837	26	12	i=1	i=1	PROPN
ijassa-837	26	13	m{λi	m{λi	PROPN
ijassa-837	26	14	}	}	PUNCT
ijassa-837	26	15	.	.	PUNCT
ijassa-837	27	1	axiom	axiom	NOUN
ijassa-837	27	2	4	4	NUM
ijassa-837	27	3	.	.	PUNCT
ijassa-837	28	1	(	(	PUNCT
ijassa-837	28	2	product	product	NOUN
ijassa-837	28	3	axiom	axiom	NOUN
ijassa-837	28	4	):	):	PUNCT
ijassa-837	28	5	let	let	VERB
ijassa-837	28	6	(	(	PUNCT
ijassa-837	28	7	γk	γk	NOUN
ijassa-837	28	8	,	,	PUNCT
ijassa-837	28	9	lk	lk	PROPN
ijassa-837	28	10	,	,	PUNCT
ijassa-837	28	11	mk	mk	PROPN
ijassa-837	28	12	)	)	PUNCT
ijassa-837	28	13	be	be	VERB
ijassa-837	28	14	uncertainty	uncertainty	NOUN
ijassa-837	28	15	spaces	space	NOUN
ijassa-837	28	16	for	for	ADP
ijassa-837	28	17	k	k	PROPN
ijassa-837	28	18	=	=	SYM
ijassa-837	28	19	1	1	NUM
ijassa-837	28	20	,	,	PUNCT
ijassa-837	28	21	2	2	NUM
ijassa-837	28	22	,	,	PUNCT
ijassa-837	28	23	.	.	PUNCT
ijassa-837	28	24	.	.	PUNCT
ijassa-837	28	25	.	.	PUNCT
ijassa-837	29	1	the	the	DET
ijassa-837	29	2	product	product	NOUN
ijassa-837	29	3	uncertain	uncertain	ADJ
ijassa-837	29	4	measure	measure	NOUN
ijassa-837	29	5	m	m	NOUN
ijassa-837	29	6	is	be	AUX
ijassa-837	29	7	an	an	DET
ijassa-837	29	8	uncertain	uncertain	ADJ
ijassa-837	29	9	measure	measure	NOUN
ijassa-837	29	10	satisfying	satisfy	VERB
ijassa-837	29	11	m	m	VERB
ijassa-837	29	12	{	{	PUNCT
ijassa-837	29	13	∞∏	∞∏	X
ijassa-837	29	14	k=1	k=1	X
ijassa-837	29	15	λk	λk	X
ijassa-837	29	16	}	}	PUNCT
ijassa-837	29	17	=	=	SYM
ijassa-837	29	18	min	min	NOUN
ijassa-837	29	19	1≤k≤∞	1≤k≤∞	NOUN
ijassa-837	29	20	mk{λk	mk{λk	PROPN
ijassa-837	29	21	}	}	PUNCT
ijassa-837	29	22	,	,	PUNCT
ijassa-837	29	23	where	where	SCONJ
ijassa-837	29	24	λk	λk	NOUN
ijassa-837	29	25	are	be	AUX
ijassa-837	29	26	arbitrarily	arbitrarily	ADV
ijassa-837	29	27	chosen	choose	VERB
ijassa-837	29	28	events	event	NOUN
ijassa-837	29	29	from	from	ADP
ijassa-837	29	30	lk	lk	NOUN
ijassa-837	29	31	for	for	ADP
ijassa-837	29	32	k	k	PROPN
ijassa-837	29	33	=	=	SYM
ijassa-837	29	34	1	1	NUM
ijassa-837	29	35	,	,	PUNCT
ijassa-837	29	36	2	2	NUM
ijassa-837	29	37	,	,	PUNCT
ijassa-837	29	38	·	·	PUNCT
ijassa-837	29	39	·	·	PUNCT
ijassa-837	29	40	·	·	PUNCT
ijassa-837	29	41	,	,	PUNCT
ijassa-837	29	42	respectively	respectively	ADV
ijassa-837	29	43	;	;	PUNCT
ijassa-837	29	44	see	see	VERB
ijassa-837	29	45	[	[	X
ijassa-837	29	46	9	9	NUM
ijassa-837	29	47	]	]	PUNCT
ijassa-837	29	48	.	.	PUNCT
ijassa-837	30	1	definition	definition	NOUN
ijassa-837	30	2	2.2	2.2	NUM
ijassa-837	30	3	:	:	PUNCT
ijassa-837	30	4	let	let	VERB
ijassa-837	30	5	(	(	PUNCT
ijassa-837	30	6	γ	γ	X
ijassa-837	30	7	,	,	PUNCT
ijassa-837	30	8	l	l	NOUN
ijassa-837	30	9	,	,	PUNCT
ijassa-837	30	10	m	m	VERB
ijassa-837	30	11	)	)	PUNCT
ijassa-837	30	12	be	be	VERB
ijassa-837	30	13	an	an	DET
ijassa-837	30	14	uncertainty	uncertainty	NOUN
ijassa-837	30	15	space	space	NOUN
ijassa-837	30	16	and	and	CCONJ
ijassa-837	30	17	let	let	VERB
ijassa-837	30	18	t	t	PROPN
ijassa-837	30	19	be	be	AUX
ijassa-837	30	20	a	a	DET
ijassa-837	30	21	totally	totally	ADV
ijassa-837	30	22	ordered	order	VERB
ijassa-837	30	23	set	set	NOUN
ijassa-837	30	24	.	.	PUNCT
ijassa-837	31	1	an	an	DET
ijassa-837	31	2	uncertain	uncertain	ADJ
ijassa-837	31	3	process	process	NOUN
ijassa-837	31	4	is	be	AUX
ijassa-837	31	5	a	a	DET
ijassa-837	31	6	function	function	NOUN
ijassa-837	31	7	xt(γ	xt(γ	NUM
ijassa-837	31	8	)	)	PUNCT
ijassa-837	31	9	from	from	ADP
ijassa-837	31	10	t	t	PROPN
ijassa-837	31	11	×	×	PROPN
ijassa-837	31	12	(	(	PUNCT
ijassa-837	31	13	γ	γ	X
ijassa-837	31	14	,	,	PUNCT
ijassa-837	31	15	l	l	NOUN
ijassa-837	31	16	,	,	PUNCT
ijassa-837	31	17	m	m	NOUN
ijassa-837	31	18	)	)	PUNCT
ijassa-837	31	19	to	to	ADP
ijassa-837	31	20	the	the	DET
ijassa-837	31	21	set	set	NOUN
ijassa-837	31	22	of	of	ADP
ijassa-837	31	23	real	real	ADJ
ijassa-837	31	24	numbers	number	NOUN
ijassa-837	31	25	such	such	ADJ
ijassa-837	31	26	that	that	SCONJ
ijassa-837	31	27	{	{	PUNCT
ijassa-837	31	28	xt	xt	PROPN
ijassa-837	31	29	∈	∈	PROPN
ijassa-837	31	30	b	b	AUX
ijassa-837	31	31	}	}	PUNCT
ijassa-837	31	32	is	be	AUX
ijassa-837	31	33	an	an	DET
ijassa-837	31	34	event	event	NOUN
ijassa-837	31	35	for	for	ADP
ijassa-837	31	36	any	any	DET
ijassa-837	31	37	borel	borel	NOUN
ijassa-837	31	38	set	set	VERB
ijassa-837	31	39	b	b	PROPN
ijassa-837	31	40	of	of	ADP
ijassa-837	31	41	real	real	ADJ
ijassa-837	31	42	numbers	number	NOUN
ijassa-837	31	43	at	at	ADP
ijassa-837	31	44	each	each	DET
ijassa-837	31	45	time	time	NOUN
ijassa-837	31	46	t	t	NOUN
ijassa-837	31	47	;	;	PUNCT
ijassa-837	31	48	see	see	VERB
ijassa-837	31	49	[	[	X
ijassa-837	31	50	10	10	NUM
ijassa-837	31	51	]	]	PUNCT
ijassa-837	31	52	.	.	PUNCT
ijassa-837	32	1	definition	definition	NOUN
ijassa-837	32	2	2.3	2.3	NUM
ijassa-837	32	3	:	:	PUNCT
ijassa-837	32	4	an	an	DET
ijassa-837	32	5	uncertain	uncertain	ADJ
ijassa-837	32	6	process	process	NOUN
ijassa-837	32	7	cσ	cσ	NOUN
ijassa-837	32	8	is	be	AUX
ijassa-837	32	9	said	say	VERB
ijassa-837	32	10	to	to	PART
ijassa-837	32	11	be	be	AUX
ijassa-837	32	12	a	a	DET
ijassa-837	32	13	liu	liu	PROPN
ijassa-837	32	14	process	process	NOUN
ijassa-837	32	15	if	if	SCONJ
ijassa-837	32	16	(	(	PUNCT
ijassa-837	32	17	i	i	NOUN
ijassa-837	32	18	)	)	PUNCT
ijassa-837	32	19	c0	c0	PROPN
ijassa-837	32	20	=	=	PUNCT
ijassa-837	32	21	0	0	PUNCT
ijassa-837	32	22	and	and	CCONJ
ijassa-837	32	23	almost	almost	ADV
ijassa-837	32	24	all	all	PRON
ijassa-837	32	25	sample	sample	NOUN
ijassa-837	32	26	paths	path	NOUN
ijassa-837	32	27	are	be	AUX
ijassa-837	32	28	lipschitz	lipschitz	VERB
ijassa-837	32	29	continuous	continuous	ADJ
ijassa-837	32	30	,	,	PUNCT
ijassa-837	32	31	(	(	PUNCT
ijassa-837	32	32	ii	ii	NOUN
ijassa-837	32	33	)	)	PUNCT
ijassa-837	32	34	cσ	cσ	AUX
ijassa-837	32	35	has	have	VERB
ijassa-837	32	36	stationary	stationary	ADJ
ijassa-837	32	37	and	and	CCONJ
ijassa-837	32	38	independent	independent	ADJ
ijassa-837	32	39	increments	increment	NOUN
ijassa-837	32	40	,	,	PUNCT
ijassa-837	32	41	(	(	PUNCT
ijassa-837	32	42	iii	iii	X
ijassa-837	32	43	)	)	PUNCT
ijassa-837	32	44	every	every	DET
ijassa-837	32	45	increment	increment	NOUN
ijassa-837	32	46	cs+σ	cs+σ	PROPN
ijassa-837	32	47	−	−	PROPN
ijassa-837	32	48	cs	cs	PROPN
ijassa-837	32	49	is	be	AUX
ijassa-837	32	50	a	a	DET
ijassa-837	32	51	normal	normal	ADJ
ijassa-837	32	52	uncertain	uncertain	ADJ
ijassa-837	32	53	variable	variable	NOUN
ijassa-837	32	54	with	with	ADP
ijassa-837	32	55	expected	expect	VERB
ijassa-837	32	56	value	value	NOUN
ijassa-837	32	57	0	0	NUM
ijassa-837	32	58	and	and	CCONJ
ijassa-837	32	59	variance	variance	NOUN
ijassa-837	32	60	σ2	σ2	PROPN
ijassa-837	32	61	.	.	PUNCT
ijassa-837	33	1	the	the	DET
ijassa-837	33	2	uncertainty	uncertainty	NOUN
ijassa-837	33	3	distribution	distribution	NOUN
ijassa-837	33	4	of	of	ADP
ijassa-837	33	5	cσ	cσ	ADV
ijassa-837	33	6	is	be	AUX
ijassa-837	33	7	φσ(x	φσ(x	NOUN
ijassa-837	33	8	)	)	PUNCT
ijassa-837	33	9	=	=	PUNCT
ijassa-837	34	1	[	[	PUNCT
ijassa-837	34	2	1	1	NUM
ijassa-837	34	3	+	+	NUM
ijassa-837	34	4	exp	exp	NOUN
ijassa-837	34	5	(	(	PUNCT
ijassa-837	34	6	−πx√	−πx√	PROPN
ijassa-837	34	7	3σ	3σ	PROPN
ijassa-837	34	8	)	)	PUNCT
ijassa-837	34	9	]	]	X
ijassa-837	34	10	−1	−1	NOUN
ijassa-837	34	11	,	,	PUNCT
ijassa-837	34	12	x	x	PUNCT
ijassa-837	34	13	∈	∈	PROPN
ijassa-837	34	14	r	r	NOUN
ijassa-837	34	15	,	,	PUNCT
ijassa-837	34	16	(	(	PUNCT
ijassa-837	34	17	2.1	2.1	NUM
ijassa-837	34	18	)	)	PUNCT
ijassa-837	34	19	and	and	CCONJ
ijassa-837	34	20	the	the	DET
ijassa-837	34	21	inverse	inverse	NOUN
ijassa-837	34	22	distribution	distribution	NOUN
ijassa-837	34	23	is	be	AUX
ijassa-837	34	24	φ−1	φ−1	PROPN
ijassa-837	34	25	σ	σ	PROPN
ijassa-837	34	26	(	(	PUNCT
ijassa-837	34	27	y	y	NOUN
ijassa-837	34	28	)	)	PUNCT
ijassa-837	34	29	=	=	PUNCT
ijassa-837	35	1	σ	σ	NOUN
ijassa-837	35	2	√	√	NUM
ijassa-837	35	3	3	3	NUM
ijassa-837	35	4	π	π	PROPN
ijassa-837	35	5	ln	ln	PROPN
ijassa-837	35	6	y	y	PROPN
ijassa-837	35	7	1−	1−	NUM
ijassa-837	35	8	y	y	PROPN
ijassa-837	35	9	,	,	PUNCT
ijassa-837	35	10	y	y	PROPN
ijassa-837	35	11	∈	∈	PROPN
ijassa-837	35	12	r	r	NOUN
ijassa-837	35	13	;	;	PUNCT
ijassa-837	35	14	(	(	PUNCT
ijassa-837	35	15	2.2	2.2	NUM
ijassa-837	35	16	)	)	PUNCT
ijassa-837	35	17	see	see	VERB
ijassa-837	35	18	[	[	X
ijassa-837	35	19	11	11	NUM
ijassa-837	35	20	]	]	PUNCT
ijassa-837	35	21	.	.	PUNCT
ijassa-837	36	1	definition	definition	NOUN
ijassa-837	36	2	2.4	2.4	NUM
ijassa-837	36	3	:	:	PUNCT
ijassa-837	36	4	let	let	VERB
ijassa-837	36	5	ξ	ξ	X
ijassa-837	36	6	be	be	AUX
ijassa-837	36	7	an	an	DET
ijassa-837	36	8	uncertain	uncertain	ADJ
ijassa-837	36	9	variable	variable	NOUN
ijassa-837	36	10	.	.	PUNCT
ijassa-837	37	1	then	then	ADV
ijassa-837	37	2	the	the	DET
ijassa-837	37	3	expected	expect	VERB
ijassa-837	37	4	value	value	NOUN
ijassa-837	37	5	of	of	ADP
ijassa-837	37	6	ξ	ξ	PROPN
ijassa-837	37	7	is	be	AUX
ijassa-837	37	8	defined	define	VERB
ijassa-837	37	9	by	by	ADP
ijassa-837	37	10	e[ξ	e[ξ	NOUN
ijassa-837	37	11	]	]	X
ijassa-837	37	12	=	=	SYM
ijassa-837	38	1	∫	∫	PROPN
ijassa-837	39	1	+	+	NUM
ijassa-837	39	2	∞	∞	PROPN
ijassa-837	39	3	0	0	NUM
ijassa-837	39	4	m{ξ	m{ξ	NOUN
ijassa-837	39	5	≥	≥	NOUN
ijassa-837	39	6	x}dx−	x}dx−	PROPN
ijassa-837	39	7	∫	∫	PROPN
ijassa-837	39	8	0	0	PROPN
ijassa-837	40	1	−∞	−∞	ADP
ijassa-837	40	2	m{ξ	m{ξ	PROPN
ijassa-837	40	3	≤	≤	NUM
ijassa-837	40	4	x}dx	x}dx	NUM
ijassa-837	40	5	provided	provide	VERB
ijassa-837	40	6	that	that	SCONJ
ijassa-837	40	7	at	at	ADV
ijassa-837	40	8	least	least	ADJ
ijassa-837	40	9	one	one	NUM
ijassa-837	40	10	of	of	ADP
ijassa-837	40	11	the	the	DET
ijassa-837	40	12	two	two	NUM
ijassa-837	40	13	integrals	integral	NOUN
ijassa-837	40	14	is	be	AUX
ijassa-837	40	15	finite	finite	ADJ
ijassa-837	40	16	;	;	PUNCT
ijassa-837	40	17	see	see	VERB
ijassa-837	40	18	[	[	X
ijassa-837	40	19	9	9	NUM
ijassa-837	40	20	]	]	PUNCT
ijassa-837	40	21	.	.	PUNCT
ijassa-837	41	1	copyright	copyright	NOUN
ijassa-837	41	2	©	©	PROPN
ijassa-837	41	3	2021	2021	NUM
ijassa-837	41	4	assa	assa	NOUN
ijassa-837	41	5	.	.	PUNCT
ijassa-837	42	1	adv	adv	PROPN
ijassa-837	42	2	syst	syst	PROPN
ijassa-837	42	3	sci	sci	PROPN
ijassa-837	42	4	appl	appl	PROPN
ijassa-837	42	5	(	(	PUNCT
ijassa-837	42	6	2021	2021	NUM
ijassa-837	42	7	)	)	PUNCT
ijassa-837	42	8	10	10	NUM
ijassa-837	42	9	t.	t.	NOUN
ijassa-837	42	10	latunde	latunde	NOUN
ijassa-837	42	11	,	,	PUNCT
ijassa-837	42	12	a.a	a.a	PROPN
ijassa-837	42	13	.	.	PROPN
ijassa-837	42	14	ishaq	ishaq	PROPN
ijassa-837	42	15	,	,	PUNCT
ijassa-837	42	16	a.f	a.f	PROPN
ijassa-837	42	17	.	.	PROPN
ijassa-837	42	18	adedotun	adedotun	PROPN
ijassa-837	42	19	,	,	PUNCT
ijassa-837	42	20	j.o	j.o	PROPN
ijassa-837	42	21	.	.	PROPN
ijassa-837	42	22	ajinuhi	ajinuhi	PROPN
ijassa-837	42	23	,	,	PUNCT
ijassa-837	42	24	o.j	o.j	PROPN
ijassa-837	42	25	.	.	PROPN
ijassa-837	42	26	peter	peter	PROPN
ijassa-837	42	27	definition	definition	NOUN
ijassa-837	42	28	2.5	2.5	NUM
ijassa-837	42	29	:	:	PUNCT
ijassa-837	42	30	an	an	DET
ijassa-837	42	31	uncertain	uncertain	ADJ
ijassa-837	42	32	process	process	NOUN
ijassa-837	42	33	xt	xt	PROPN
ijassa-837	42	34	is	be	AUX
ijassa-837	42	35	said	say	VERB
ijassa-837	42	36	to	to	PART
ijassa-837	42	37	have	have	VERB
ijassa-837	42	38	independent	independent	ADJ
ijassa-837	42	39	increments	increment	NOUN
ijassa-837	42	40	if	if	SCONJ
ijassa-837	42	41	xt1	xt1	PROPN
ijassa-837	42	42	−xt0	−xt0	X
ijassa-837	42	43	,	,	PUNCT
ijassa-837	42	44	xt2	xt2	PROPN
ijassa-837	42	45	−xt1	−xt1	X
ijassa-837	42	46	,	,	PUNCT
ijassa-837	42	47	·	·	PUNCT
ijassa-837	42	48	·	·	PUNCT
ijassa-837	42	49	·	·	PUNCT
ijassa-837	42	50	,	,	PUNCT
ijassa-837	43	1	xtk	xtk	X
ijassa-837	43	2	−xtk−1	−xtk−1	X
ijassa-837	43	3	are	be	AUX
ijassa-837	43	4	independent	independent	ADJ
ijassa-837	43	5	uncertain	uncertain	ADJ
ijassa-837	43	6	variables	variable	NOUN
ijassa-837	43	7	,	,	PUNCT
ijassa-837	43	8	where	where	SCONJ
ijassa-837	43	9	t0	t0	PROPN
ijassa-837	43	10	<	<	X
ijassa-837	43	11	t1	t1	X
ijassa-837	43	12	<	<	X
ijassa-837	43	13	·	·	PUNCT
ijassa-837	43	14	·	·	PUNCT
ijassa-837	43	15	·	·	PUNCT
ijassa-837	44	1	<	<	X
ijassa-837	44	2	tk	tk	PROPN
ijassa-837	44	3	.	.	PROPN
ijassa-837	45	1	that	that	PRON
ijassa-837	45	2	is	is	ADV
ijassa-837	45	3	,	,	PUNCT
ijassa-837	45	4	an	an	DET
ijassa-837	45	5	independent	independent	ADJ
ijassa-837	45	6	increment	increment	NOUN
ijassa-837	45	7	process	process	NOUN
ijassa-837	45	8	means	mean	VERB
ijassa-837	45	9	that	that	SCONJ
ijassa-837	45	10	its	its	PRON
ijassa-837	45	11	increments	increment	NOUN
ijassa-837	45	12	are	be	AUX
ijassa-837	45	13	independent	independent	ADJ
ijassa-837	45	14	uncertain	uncertain	ADJ
ijassa-837	45	15	variables	variable	NOUN
ijassa-837	45	16	whenever	whenever	SCONJ
ijassa-837	45	17	the	the	DET
ijassa-837	45	18	time	time	NOUN
ijassa-837	45	19	intervals	interval	NOUN
ijassa-837	45	20	do	do	AUX
ijassa-837	45	21	not	not	PART
ijassa-837	45	22	overlap	overlap	VERB
ijassa-837	45	23	.	.	PUNCT
ijassa-837	46	1	it	it	PRON
ijassa-837	46	2	is	be	AUX
ijassa-837	46	3	noted	note	VERB
ijassa-837	46	4	that	that	SCONJ
ijassa-837	46	5	the	the	DET
ijassa-837	46	6	increments	increment	NOUN
ijassa-837	46	7	are	be	AUX
ijassa-837	46	8	also	also	ADV
ijassa-837	46	9	independent	independent	ADJ
ijassa-837	46	10	of	of	ADP
ijassa-837	46	11	the	the	DET
ijassa-837	46	12	initial	initial	ADJ
ijassa-837	46	13	state	state	NOUN
ijassa-837	46	14	;	;	PUNCT
ijassa-837	46	15	see	see	VERB
ijassa-837	46	16	[	[	X
ijassa-837	46	17	10	10	NUM
ijassa-837	46	18	]	]	PUNCT
ijassa-837	46	19	.	.	PUNCT
ijassa-837	47	1	definition	definition	NOUN
ijassa-837	47	2	2.6	2.6	NUM
ijassa-837	47	3	:	:	PUNCT
ijassa-837	47	4	suppose	suppose	VERB
ijassa-837	47	5	ct	ct	PROPN
ijassa-837	47	6	is	be	AUX
ijassa-837	47	7	a	a	DET
ijassa-837	47	8	canonical	canonical	ADJ
ijassa-837	47	9	liu	liu	NOUN
ijassa-837	47	10	process	process	NOUN
ijassa-837	47	11	,	,	PUNCT
ijassa-837	47	12	and	and	CCONJ
ijassa-837	47	13	f	f	PROPN
ijassa-837	47	14	and	and	CCONJ
ijassa-837	47	15	g	g	PROPN
ijassa-837	47	16	are	be	AUX
ijassa-837	47	17	two	two	NUM
ijassa-837	47	18	functions	function	NOUN
ijassa-837	47	19	.	.	PUNCT
ijassa-837	48	1	then	then	ADV
ijassa-837	48	2	dxt	dxt	PROPN
ijassa-837	48	3	=	=	PUNCT
ijassa-837	48	4	f(t	f(t	PROPN
ijassa-837	48	5	,	,	PUNCT
ijassa-837	48	6	xt)dt+	xt)dt+	PROPN
ijassa-837	48	7	g(t	g(t	PROPN
ijassa-837	48	8	,	,	PUNCT
ijassa-837	48	9	xt)dct	xt)dct	PROPN
ijassa-837	48	10	is	be	AUX
ijassa-837	48	11	called	call	VERB
ijassa-837	48	12	an	an	DET
ijassa-837	48	13	uncertain	uncertain	ADJ
ijassa-837	48	14	differential	differential	NOUN
ijassa-837	48	15	equation	equation	NOUN
ijassa-837	48	16	.	.	PUNCT
ijassa-837	49	1	a	a	DET
ijassa-837	49	2	solution	solution	NOUN
ijassa-837	49	3	is	be	AUX
ijassa-837	49	4	a	a	DET
ijassa-837	49	5	liu	liu	PROPN
ijassa-837	49	6	process	process	NOUN
ijassa-837	49	7	xt	xt	PROPN
ijassa-837	50	1	that	that	SCONJ
ijassa-837	50	2	satisfies	satisfie	NOUN
ijassa-837	50	3	(	(	PUNCT
ijassa-837	50	4	2.1	2.1	NUM
ijassa-837	50	5	)	)	PUNCT
ijassa-837	50	6	and	and	CCONJ
ijassa-837	50	7	(	(	PUNCT
ijassa-837	50	8	2.2	2.2	NUM
ijassa-837	50	9	)	)	PUNCT
ijassa-837	50	10	identically	identically	ADV
ijassa-837	50	11	in	in	ADP
ijassa-837	50	12	t	t	PROPN
ijassa-837	50	13	;	;	PUNCT
ijassa-837	50	14	see	see	VERB
ijassa-837	50	15	[	[	X
ijassa-837	50	16	10	10	NUM
ijassa-837	50	17	]	]	PUNCT
ijassa-837	50	18	.	.	PUNCT
ijassa-837	51	1	definition	definition	NOUN
ijassa-837	51	2	2.7	2.7	NUM
ijassa-837	51	3	:	:	PUNCT
ijassa-837	51	4	let	let	VERB
ijassa-837	51	5	xt	xt	PART
ijassa-837	51	6	be	be	AUX
ijassa-837	51	7	an	an	DET
ijassa-837	51	8	uncertain	uncertain	ADJ
ijassa-837	51	9	process	process	NOUN
ijassa-837	51	10	.	.	PUNCT
ijassa-837	52	1	then	then	ADV
ijassa-837	52	2	for	for	ADP
ijassa-837	52	3	each	each	DET
ijassa-837	52	4	γ	γ	PROPN
ijassa-837	52	5	∈	∈	PROPN
ijassa-837	52	6	γ	γ	X
ijassa-837	52	7	,	,	PUNCT
ijassa-837	52	8	the	the	DET
ijassa-837	52	9	function	function	NOUN
ijassa-837	52	10	xt(γ)is	xt(γ)is	PUNCT
ijassa-837	52	11	called	call	VERB
ijassa-837	52	12	a	a	DET
ijassa-837	52	13	sample	sample	NOUN
ijassa-837	52	14	path	path	NOUN
ijassa-837	52	15	of	of	ADP
ijassa-837	52	16	xt	xt	PROPN
ijassa-837	52	17	;	;	PUNCT
ijassa-837	52	18	see	see	VERB
ijassa-837	52	19	[	[	X
ijassa-837	52	20	10	10	NUM
ijassa-837	52	21	]	]	PUNCT
ijassa-837	52	22	.	.	PUNCT
ijassa-837	53	1	definition	definition	NOUN
ijassa-837	53	2	2.8	2.8	NUM
ijassa-837	53	3	:	:	PUNCT
ijassa-837	53	4	an	an	DET
ijassa-837	53	5	uncertain	uncertain	ADJ
ijassa-837	53	6	process	process	NOUN
ijassa-837	53	7	xt	xt	PROPN
ijassa-837	53	8	is	be	AUX
ijassa-837	53	9	said	say	VERB
ijassa-837	53	10	to	to	PART
ijassa-837	53	11	be	be	AUX
ijassa-837	53	12	sample	sample	NOUN
ijassa-837	53	13	-	-	PUNCT
ijassa-837	53	14	continuous	continuous	ADJ
ijassa-837	53	15	if	if	SCONJ
ijassa-837	53	16	almost	almost	ADV
ijassa-837	53	17	all	all	PRON
ijassa-837	53	18	sample	sample	NOUN
ijassa-837	53	19	paths	path	NOUN
ijassa-837	53	20	are	be	AUX
ijassa-837	53	21	continuous	continuous	ADJ
ijassa-837	53	22	functions	function	NOUN
ijassa-837	53	23	with	with	ADP
ijassa-837	53	24	respect	respect	NOUN
ijassa-837	53	25	to	to	ADP
ijassa-837	53	26	time	time	NOUN
ijassa-837	53	27	t	t	PROPN
ijassa-837	53	28	;	;	PUNCT
ijassa-837	53	29	see	see	VERB
ijassa-837	53	30	[	[	X
ijassa-837	53	31	9	9	NUM
ijassa-837	53	32	]	]	PUNCT
ijassa-837	53	33	.	.	PUNCT
ijassa-837	54	1	definition	definition	NOUN
ijassa-837	54	2	2.9	2.9	NUM
ijassa-837	54	3	:	:	PUNCT
ijassa-837	54	4	uncertainty	uncertainty	NOUN
ijassa-837	54	5	distribution	distribution	NOUN
ijassa-837	54	6	of	of	ADP
ijassa-837	54	7	solution	solution	NOUN
ijassa-837	54	8	.	.	PUNCT
ijassa-837	55	1	let	let	VERB
ijassa-837	55	2	α	α	PRON
ijassa-837	55	3	be	be	AUX
ijassa-837	55	4	a	a	DET
ijassa-837	55	5	number	number	NOUN
ijassa-837	55	6	with	with	ADP
ijassa-837	55	7	0	0	NUM
ijassa-837	55	8	<	<	X
ijassa-837	55	9	α	α	X
ijassa-837	55	10	<	<	X
ijassa-837	55	11	1	1	NUM
ijassa-837	55	12	.	.	PUNCT
ijassa-837	56	1	an	an	DET
ijassa-837	56	2	uncertain	uncertain	ADJ
ijassa-837	56	3	differential	differential	NOUN
ijassa-837	56	4	equation	equation	NOUN
ijassa-837	56	5	dx(t	dx(t	NOUN
ijassa-837	56	6	)	)	PUNCT
ijassa-837	56	7	=	=	SYM
ijassa-837	56	8	f(t	f(t	NOUN
ijassa-837	56	9	,	,	PUNCT
ijassa-837	56	10	x(t))dt+	x(t))dt+	PROPN
ijassa-837	56	11	g(t	g(t	PROPN
ijassa-837	56	12	,	,	PUNCT
ijassa-837	56	13	x(t))dc(t	x(t))dc(t	PROPN
ijassa-837	56	14	)	)	PUNCT
ijassa-837	56	15	is	be	AUX
ijassa-837	56	16	said	say	VERB
ijassa-837	56	17	to	to	PART
ijassa-837	56	18	have	have	VERB
ijassa-837	56	19	an	an	DET
ijassa-837	56	20	α	α	NOUN
ijassa-837	56	21	-	-	NOUN
ijassa-837	56	22	path	path	NOUN
ijassa-837	56	23	x(t)α	x(t)α	PROPN
ijassa-837	56	24	if	if	SCONJ
ijassa-837	56	25	it	it	PRON
ijassa-837	56	26	solves	solve	VERB
ijassa-837	56	27	the	the	DET
ijassa-837	56	28	corresponding	corresponding	ADJ
ijassa-837	56	29	ordinary	ordinary	ADJ
ijassa-837	56	30	differential	differential	ADJ
ijassa-837	56	31	equation	equation	NOUN
ijassa-837	56	32	dx(t)α	dx(t)α	PROPN
ijassa-837	56	33	=	=	PUNCT
ijassa-837	56	34	f(t	f(t	NOUN
ijassa-837	56	35	,	,	PUNCT
ijassa-837	56	36	x(t)α)dt+	x(t)α)dt+	PROPN
ijassa-837	56	37	|g(t	|g(t	PROPN
ijassa-837	56	38	,	,	PUNCT
ijassa-837	56	39	x(t))|φ−1(α)dt	x(t))|φ−1(α)dt	NUM
ijassa-837	56	40	,	,	PUNCT
ijassa-837	56	41	where	where	SCONJ
ijassa-837	56	42	φ−1(α	φ−1(α	PROPN
ijassa-837	56	43	)	)	PUNCT
ijassa-837	56	44	is	be	AUX
ijassa-837	56	45	the	the	DET
ijassa-837	56	46	inverse	inverse	ADJ
ijassa-837	56	47	uncertainty	uncertainty	NOUN
ijassa-837	56	48	distribution	distribution	NOUN
ijassa-837	56	49	of	of	ADP
ijassa-837	56	50	a	a	DET
ijassa-837	56	51	standard	standard	ADJ
ijassa-837	56	52	normal	normal	ADJ
ijassa-837	56	53	uncertain	uncertain	ADJ
ijassa-837	56	54	variable	variable	NOUN
ijassa-837	56	55	,	,	PUNCT
ijassa-837	56	56	that	that	ADV
ijassa-837	56	57	is	is	ADV
ijassa-837	56	58	,	,	PUNCT
ijassa-837	56	59	φ−1(α	φ−1(α	PROPN
ijassa-837	56	60	)	)	PUNCT
ijassa-837	56	61	=	=	PUNCT
ijassa-837	57	1	√	√	NUM
ijassa-837	57	2	3	3	NUM
ijassa-837	57	3	π	π	PROPN
ijassa-837	57	4	ln	ln	PROPN
ijassa-837	57	5	α	α	PROPN
ijassa-837	57	6	1−	1−	NUM
ijassa-837	57	7	α	α	NOUN
ijassa-837	57	8	,	,	PUNCT
ijassa-837	57	9	α	α	PROPN
ijassa-837	57	10	∈	∈	PROPN
ijassa-837	57	11	r	r	NOUN
ijassa-837	57	12	;	;	PUNCT
ijassa-837	57	13	see	see	VERB
ijassa-837	57	14	[	[	X
ijassa-837	57	15	11	11	NUM
ijassa-837	57	16	]	]	PUNCT
ijassa-837	57	17	.	.	PUNCT
ijassa-837	58	1	3	3	X
ijassa-837	58	2	.	.	X
ijassa-837	58	3	the	the	DET
ijassa-837	58	4	asset	asset	NOUN
ijassa-837	58	5	management	management	NOUN
ijassa-837	58	6	model	model	NOUN
ijassa-837	58	7	asset	asset	NOUN
ijassa-837	58	8	management	management	NOUN
ijassa-837	58	9	problem	problem	NOUN
ijassa-837	58	10	is	be	AUX
ijassa-837	58	11	mainly	mainly	ADV
ijassa-837	58	12	based	base	VERB
ijassa-837	58	13	on	on	ADP
ijassa-837	58	14	decision	decision	NOUN
ijassa-837	58	15	making	making	NOUN
ijassa-837	58	16	and	and	CCONJ
ijassa-837	58	17	the	the	DET
ijassa-837	58	18	understanding	understanding	NOUN
ijassa-837	58	19	of	of	ADP
ijassa-837	58	20	probable	probable	ADJ
ijassa-837	58	21	asset	asset	NOUN
ijassa-837	58	22	degradation	degradation	NOUN
ijassa-837	58	23	and	and	CCONJ
ijassa-837	58	24	trading	trading	NOUN
ijassa-837	58	25	-	-	PUNCT
ijassa-837	58	26	off	off	ADP
ijassa-837	58	27	capital	capital	NOUN
ijassa-837	58	28	investments	investment	NOUN
ijassa-837	58	29	,	,	PUNCT
ijassa-837	58	30	maintenance	maintenance	NOUN
ijassa-837	58	31	costs	cost	NOUN
ijassa-837	58	32	,	,	PUNCT
ijassa-837	58	33	risks	risk	NOUN
ijassa-837	58	34	and	and	CCONJ
ijassa-837	58	35	other	other	ADJ
ijassa-837	58	36	uncertainties	uncertainty	NOUN
ijassa-837	58	37	to	to	PART
ijassa-837	58	38	optimize	optimize	VERB
ijassa-837	58	39	decisions	decision	NOUN
ijassa-837	58	40	made	make	VERB
ijassa-837	58	41	by	by	ADP
ijassa-837	58	42	investors	investor	NOUN
ijassa-837	58	43	.	.	PUNCT
ijassa-837	59	1	however	however	ADV
ijassa-837	59	2	,	,	PUNCT
ijassa-837	59	3	it	it	PRON
ijassa-837	59	4	is	be	AUX
ijassa-837	59	5	assumed	assume	VERB
ijassa-837	59	6	that	that	SCONJ
ijassa-837	59	7	an	an	DET
ijassa-837	59	8	individual	individual	ADJ
ijassa-837	59	9	invests	invest	VERB
ijassa-837	59	10	his	his	PRON
ijassa-837	59	11	/	/	SYM
ijassa-837	59	12	her	her	PRON
ijassa-837	59	13	wealth	wealth	NOUN
ijassa-837	59	14	in	in	ADP
ijassa-837	59	15	a	a	DET
ijassa-837	59	16	capital	capital	NOUN
ijassa-837	59	17	asset	asset	NOUN
ijassa-837	59	18	,	,	PUNCT
ijassa-837	59	19	a(t	a(t	PROPN
ijassa-837	59	20	)	)	PUNCT
ijassa-837	59	21	,	,	PUNCT
ijassa-837	59	22	of	of	ADP
ijassa-837	59	23	a	a	DET
ijassa-837	59	24	large	large	ADJ
ijassa-837	59	25	business	business	NOUN
ijassa-837	59	26	for	for	ADP
ijassa-837	59	27	a	a	DET
ijassa-837	59	28	time	time	NOUN
ijassa-837	59	29	,	,	PUNCT
ijassa-837	59	30	t	t	PROPN
ijassa-837	59	31	,	,	PUNCT
ijassa-837	59	32	ranging	range	VERB
ijassa-837	59	33	from	from	ADP
ijassa-837	59	34	t0	t0	PROPN
ijassa-837	59	35	to	to	ADP
ijassa-837	59	36	tn	tn	PROPN
ijassa-837	59	37	.	.	PUNCT
ijassa-837	60	1	supposing	suppose	VERB
ijassa-837	60	2	he	he	PRON
ijassa-837	60	3	/	/	SYM
ijassa-837	60	4	she	she	PRON
ijassa-837	60	5	starts	start	VERB
ijassa-837	60	6	with	with	ADP
ijassa-837	60	7	a	a	DET
ijassa-837	60	8	known	know	VERB
ijassa-837	60	9	initial	initial	ADJ
ijassa-837	60	10	net	net	ADJ
ijassa-837	60	11	worthx0(t	worthx0(t	NOUN
ijassa-837	60	12	)	)	PUNCT
ijassa-837	60	13	.	.	PUNCT
ijassa-837	61	1	at	at	ADP
ijassa-837	61	2	the	the	DET
ijassa-837	61	3	time	time	NOUN
ijassa-837	61	4	t	t	PROPN
ijassa-837	61	5	,	,	PUNCT
ijassa-837	61	6	what	what	DET
ijassa-837	61	7	fraction	fraction	NOUN
ijassa-837	61	8	of	of	ADP
ijassa-837	61	9	his	his	PRON
ijassa-837	61	10	/	/	SYM
ijassa-837	61	11	her	her	PRON
ijassa-837	61	12	net	net	ADJ
ijassa-837	61	13	worth	worth	NOUN
ijassa-837	61	14	,	,	PUNCT
ijassa-837	61	15	ψ	ψ	NOUN
ijassa-837	61	16	,	,	PUNCT
ijassa-837	61	17	must	must	AUX
ijassa-837	61	18	he	he	PRON
ijassa-837	61	19	/	/	PRON
ijassa-837	62	1	she	she	PRON
ijassa-837	62	2	choose	choose	VERB
ijassa-837	62	3	to	to	PART
ijassa-837	62	4	utilize	utilize	VERB
ijassa-837	62	5	on	on	ADP
ijassa-837	62	6	the	the	DET
ijassa-837	62	7	capital	capital	NOUN
ijassa-837	62	8	asset	asset	NOUN
ijassa-837	62	9	and	and	CCONJ
ijassa-837	62	10	what	what	DET
ijassa-837	62	11	fraction	fraction	NOUN
ijassa-837	62	12	of	of	ADP
ijassa-837	62	13	his	his	PRON
ijassa-837	62	14	net	net	ADJ
ijassa-837	62	15	worth	worth	NOUN
ijassa-837	62	16	,	,	PUNCT
ijassa-837	62	17	τ	τ	X
ijassa-837	62	18	,	,	PUNCT
ijassa-837	62	19	must	must	AUX
ijassa-837	62	20	he	he	PRON
ijassa-837	62	21	/	/	PRON
ijassa-837	63	1	she	she	PRON
ijassa-837	63	2	choose	choose	VERB
ijassa-837	63	3	to	to	PART
ijassa-837	63	4	be	be	AUX
ijassa-837	63	5	incurred	incur	VERB
ijassa-837	63	6	on	on	ADP
ijassa-837	63	7	the	the	DET
ijassa-837	63	8	liability	liability	NOUN
ijassa-837	63	9	of	of	ADP
ijassa-837	63	10	the	the	DET
ijassa-837	63	11	business	business	NOUN
ijassa-837	63	12	such	such	ADJ
ijassa-837	63	13	that	that	SCONJ
ijassa-837	63	14	the	the	DET
ijassa-837	63	15	expected	expect	VERB
ijassa-837	63	16	present	present	ADJ
ijassa-837	63	17	value	value	NOUN
ijassa-837	63	18	of	of	ADP
ijassa-837	63	19	the	the	DET
ijassa-837	63	20	utility	utility	NOUN
ijassa-837	63	21	of	of	ADP
ijassa-837	63	22	asset	asset	NOUN
ijassa-837	63	23	,	,	PUNCT
ijassa-837	63	24	j(x	j(x	PROPN
ijassa-837	63	25	)	)	PUNCT
ijassa-837	63	26	,	,	PUNCT
ijassa-837	63	27	is	be	AUX
ijassa-837	63	28	maximized	maximize	VERB
ijassa-837	63	29	.	.	PUNCT
ijassa-837	64	1	table	table	NOUN
ijassa-837	64	2	3.1	3.1	NUM
ijassa-837	64	3	represents	represent	VERB
ijassa-837	64	4	the	the	DET
ijassa-837	64	5	definition	definition	NOUN
ijassa-837	64	6	of	of	ADP
ijassa-837	64	7	the	the	DET
ijassa-837	64	8	formulated	formulated	ADJ
ijassa-837	64	9	model	model	NOUN
ijassa-837	64	10	’s	’s	PART
ijassa-837	64	11	parameters	parameter	NOUN
ijassa-837	64	12	.	.	PUNCT
ijassa-837	65	1	a	a	DET
ijassa-837	65	2	dynamic	dynamic	ADJ
ijassa-837	65	3	optimization	optimization	NOUN
ijassa-837	65	4	model	model	NOUN
ijassa-837	65	5	of	of	ADP
ijassa-837	65	6	the	the	DET
ijassa-837	65	7	expected	expect	VERB
ijassa-837	65	8	present	present	ADJ
ijassa-837	65	9	value	value	NOUN
ijassa-837	65	10	of	of	ADP
ijassa-837	65	11	assets	asset	NOUN
ijassa-837	65	12	over	over	ADP
ijassa-837	65	13	a	a	DET
ijassa-837	65	14	given	give	VERB
ijassa-837	65	15	life	life	NOUN
ijassa-837	65	16	cycle	cycle	NOUN
ijassa-837	65	17	based	base	VERB
ijassa-837	65	18	on	on	ADP
ijassa-837	65	19	uncertainty	uncertainty	NOUN
ijassa-837	65	20	theory	theory	NOUN
ijassa-837	65	21	is	be	AUX
ijassa-837	65	22	herein	herein	NOUN
ijassa-837	65	23	presented	present	VERB
ijassa-837	65	24	following	follow	VERB
ijassa-837	65	25	the	the	DET
ijassa-837	65	26	study	study	NOUN
ijassa-837	65	27	of	of	ADP
ijassa-837	65	28	portfolio	portfolio	NOUN
ijassa-837	65	29	copyright	copyright	NOUN
ijassa-837	65	30	©	©	PROPN
ijassa-837	65	31	2021	2021	NUM
ijassa-837	65	32	assa	assa	NOUN
ijassa-837	65	33	.	.	PUNCT
ijassa-837	66	1	adv	adv	PROPN
ijassa-837	66	2	syst	syst	PROPN
ijassa-837	66	3	sci	sci	PROPN
ijassa-837	66	4	appl	appl	PROPN
ijassa-837	66	5	(	(	PUNCT
ijassa-837	66	6	2021	2021	NUM
ijassa-837	66	7	)	)	PUNCT
ijassa-837	66	8	uncertain	uncertain	ADJ
ijassa-837	66	9	controllability	controllability	NOUN
ijassa-837	66	10	and	and	CCONJ
ijassa-837	66	11	observability	observability	NOUN
ijassa-837	66	12	of	of	ADP
ijassa-837	66	13	an	an	DET
ijassa-837	66	14	optimal	optimal	ADJ
ijassa-837	66	15	control	control	NOUN
ijassa-837	66	16	model	model	NOUN
ijassa-837	66	17	11	11	NUM
ijassa-837	66	18	table	table	NOUN
ijassa-837	66	19	3.1	3.1	NUM
ijassa-837	66	20	.	.	PUNCT
ijassa-837	67	1	definition	definition	NOUN
ijassa-837	67	2	of	of	ADP
ijassa-837	67	3	parameters	parameter	NOUN
ijassa-837	67	4	to	to	ADP
ijassa-837	67	5	the	the	DET
ijassa-837	67	6	model	model	NOUN
ijassa-837	67	7	.	.	PUNCT
ijassa-837	68	1	parameter	parameter	NOUN
ijassa-837	68	2	description	description	NOUN
ijassa-837	68	3	x(t	x(t	PROPN
ijassa-837	68	4	)	)	PUNCT
ijassa-837	68	5	net	net	ADJ
ijassa-837	68	6	worth	worth	NOUN
ijassa-837	68	7	at	at	ADP
ijassa-837	68	8	time	time	NOUN
ijassa-837	68	9	t	t	PROPN
ijassa-837	68	10	(	(	PUNCT
ijassa-837	68	11	state	state	NOUN
ijassa-837	68	12	variable	variable	NOUN
ijassa-837	68	13	)	)	PUNCT
ijassa-837	68	14	τ(t	τ(t	NOUN
ijassa-837	68	15	)	)	PUNCT
ijassa-837	68	16	liability	liability	NOUN
ijassa-837	68	17	ratio	ratio	NOUN
ijassa-837	68	18	(	(	PUNCT
ijassa-837	68	19	control	control	NOUN
ijassa-837	68	20	)	)	PUNCT
ijassa-837	68	21	at	at	ADP
ijassa-837	68	22	time	time	NOUN
ijassa-837	68	23	t	t	PROPN
ijassa-837	68	24	,	,	PUNCT
ijassa-837	68	25	τ	τ	PROPN
ijassa-837	68	26	∈	∈	PROPN
ijassa-837	68	27	r	r	NOUN
ijassa-837	68	28	σr(t	σr(t	NOUN
ijassa-837	68	29	)	)	PUNCT
ijassa-837	68	30	diffusion	diffusion	NOUN
ijassa-837	68	31	volatility	volatility	NOUN
ijassa-837	68	32	of	of	ADP
ijassa-837	68	33	liability	liability	NOUN
ijassa-837	68	34	(	(	PUNCT
ijassa-837	68	35	with	with	ADP
ijassa-837	68	36	variance	variance	NOUN
ijassa-837	68	37	σ2	σ2	PROPN
ijassa-837	68	38	r	r	PROPN
ijassa-837	68	39	per	per	ADP
ijassa-837	68	40	unit	unit	NOUN
ijassa-837	68	41	time	time	NOUN
ijassa-837	68	42	)	)	PUNCT
ijassa-837	68	43	ψ(t	ψ(t	PROPN
ijassa-837	68	44	)	)	PUNCT
ijassa-837	68	45	capital	capital	NOUN
ijassa-837	68	46	asset	asset	NOUN
ijassa-837	68	47	ratio	ratio	NOUN
ijassa-837	68	48	at	at	ADP
ijassa-837	68	49	time	time	NOUN
ijassa-837	68	50	t	t	PROPN
ijassa-837	68	51	(	(	PUNCT
ijassa-837	68	52	control	control	PROPN
ijassa-837	68	53	)	)	PUNCT
ijassa-837	68	54	ψ	ψ	NOUN
ijassa-837	68	55	∈	∈	NOUN
ijassa-837	68	56	r	r	NOUN
ijassa-837	68	57	σb(t	σb(t	NOUN
ijassa-837	68	58	)	)	PUNCT
ijassa-837	68	59	diffusion	diffusion	NOUN
ijassa-837	68	60	volatility	volatility	NOUN
ijassa-837	68	61	of	of	ADP
ijassa-837	68	62	asset	asset	NOUN
ijassa-837	68	63	(	(	PUNCT
ijassa-837	68	64	with	with	ADP
ijassa-837	68	65	variance	variance	NOUN
ijassa-837	68	66	σ2	σ2	PROPN
ijassa-837	68	67	b	b	PROPN
ijassa-837	68	68	per	per	ADP
ijassa-837	68	69	unit	unit	NOUN
ijassa-837	68	70	time	time	NOUN
ijassa-837	68	71	)	)	PUNCT
ijassa-837	68	72	κ(t	κ(t	PROPN
ijassa-837	68	73	)	)	PUNCT
ijassa-837	68	74	capital	capital	NOUN
ijassa-837	68	75	gain	gain	NOUN
ijassa-837	68	76	on	on	ADP
ijassa-837	68	77	asset	asset	NOUN
ijassa-837	68	78	due	due	ADP
ijassa-837	68	79	to	to	ADP
ijassa-837	68	80	inflation	inflation	NOUN
ijassa-837	68	81	at	at	ADP
ijassa-837	68	82	time	time	NOUN
ijassa-837	68	83	t	t	PROPN
ijassa-837	68	84	σp(t	σp(t	PRON
ijassa-837	68	85	)	)	PUNCT
ijassa-837	68	86	diffusion	diffusion	NOUN
ijassa-837	68	87	volatility	volatility	NOUN
ijassa-837	68	88	on	on	ADP
ijassa-837	68	89	asset	asset	NOUN
ijassa-837	68	90	price	price	NOUN
ijassa-837	68	91	(	(	PUNCT
ijassa-837	68	92	with	with	ADP
ijassa-837	68	93	variance	variance	NOUN
ijassa-837	68	94	σ2	σ2	PROPN
ijassa-837	68	95	p	p	PROPN
ijassa-837	68	96	per	per	ADP
ijassa-837	68	97	unit	unit	NOUN
ijassa-837	68	98	time	time	NOUN
ijassa-837	68	99	)	)	PUNCT
ijassa-837	68	100	β(t	β(t	NOUN
ijassa-837	68	101	)	)	PUNCT
ijassa-837	68	102	mean	mean	VERB
ijassa-837	68	103	rate	rate	NOUN
ijassa-837	68	104	of	of	ADP
ijassa-837	68	105	return	return	NOUN
ijassa-837	68	106	on	on	ADP
ijassa-837	68	107	the	the	DET
ijassa-837	68	108	asset	asset	NOUN
ijassa-837	68	109	at	at	ADP
ijassa-837	68	110	time	time	NOUN
ijassa-837	68	111	t	t	PROPN
ijassa-837	68	112	ω(t	ω(t	NOUN
ijassa-837	68	113	)	)	PUNCT
ijassa-837	68	114	mean	mean	VERB
ijassa-837	68	115	interest	interest	NOUN
ijassa-837	68	116	rate	rate	NOUN
ijassa-837	68	117	of	of	ADP
ijassa-837	68	118	liability	liability	NOUN
ijassa-837	68	119	at	at	ADP
ijassa-837	68	120	time	time	NOUN
ijassa-837	68	121	t	t	PROPN
ijassa-837	68	122	c(t	c(t	PROPN
ijassa-837	68	123	)	)	PUNCT
ijassa-837	68	124	liu	liu	PROPN
ijassa-837	68	125	canonical	canonical	ADJ
ijassa-837	68	126	process	process	NOUN
ijassa-837	68	127	at	at	ADP
ijassa-837	68	128	time	time	NOUN
ijassa-837	68	129	t	t	PROPN
ijassa-837	68	130	µ(t	µ(t	ADJ
ijassa-837	68	131	)	)	PUNCT
ijassa-837	68	132	consumption	consumption	NOUN
ijassa-837	68	133	level	level	NOUN
ijassa-837	68	134	at	at	ADP
ijassa-837	68	135	time	time	NOUN
ijassa-837	68	136	t	t	PROPN
ijassa-837	68	137	j(t	j(t	PROPN
ijassa-837	68	138	)	)	PUNCT
ijassa-837	68	139	tax	tax	NOUN
ijassa-837	68	140	ratio	ratio	NOUN
ijassa-837	68	141	at	at	ADP
ijassa-837	68	142	time	time	NOUN
ijassa-837	68	143	t	t	PROPN
ijassa-837	68	144	g(t	g(t	PROPN
ijassa-837	68	145	)	)	PUNCT
ijassa-837	68	146	depreciation	depreciation	NOUN
ijassa-837	68	147	ratio	ratio	NOUN
ijassa-837	68	148	at	at	ADP
ijassa-837	68	149	time	time	NOUN
ijassa-837	68	150	t	t	PROPN
ijassa-837	68	151	h(t	h(t	PROPN
ijassa-837	68	152	)	)	PUNCT
ijassa-837	69	1	asset	asset	NOUN
ijassa-837	69	2	supplies	supply	VERB
ijassa-837	69	3	ratio	ratio	NOUN
ijassa-837	69	4	at	at	ADP
ijassa-837	69	5	time	time	NOUN
ijassa-837	69	6	t	t	PROPN
ijassa-837	69	7	η	η	PROPN
ijassa-837	69	8	subjective	subjective	ADJ
ijassa-837	69	9	discount	discount	NOUN
ijassa-837	69	10	rate	rate	NOUN
ijassa-837	69	11	,	,	PUNCT
ijassa-837	69	12	e.g.	e.g.	ADV
ijassa-837	69	13	,	,	PUNCT
ijassa-837	69	14	a	a	DET
ijassa-837	69	15	η+1	η+1	NOUN
ijassa-837	69	16	=	=	SYM
ijassa-837	69	17	present	present	ADJ
ijassa-837	69	18	value	value	NOUN
ijassa-837	69	19	λ	λ	NOUN
ijassa-837	69	20	degree	degree	NOUN
ijassa-837	69	21	of	of	ADP
ijassa-837	69	22	relative	relative	ADJ
ijassa-837	69	23	risk	risk	NOUN
ijassa-837	69	24	,	,	PUNCT
ijassa-837	69	25	where	where	SCONJ
ijassa-837	69	26	(	(	PUNCT
ijassa-837	69	27	1−	1−	NUM
ijassa-837	69	28	λ	λ	NOUN
ijassa-837	69	29	)	)	PUNCT
ijassa-837	69	30	is	be	AUX
ijassa-837	69	31	the	the	DET
ijassa-837	69	32	risk	risk	NOUN
ijassa-837	69	33	aversion	aversion	NOUN
ijassa-837	69	34	u	u	NOUN
ijassa-837	69	35	utility	utility	NOUN
ijassa-837	69	36	function	function	NOUN
ijassa-837	69	37	selection	selection	NOUN
ijassa-837	69	38	by	by	ADP
ijassa-837	69	39	[	[	X
ijassa-837	69	40	12	12	NUM
ijassa-837	69	41	]	]	PUNCT
ijassa-837	69	42	.	.	PUNCT
ijassa-837	70	1	it	it	PRON
ijassa-837	70	2	is	be	AUX
ijassa-837	70	3	assumed	assume	VERB
ijassa-837	70	4	that	that	SCONJ
ijassa-837	70	5	the	the	DET
ijassa-837	70	6	goal	goal	NOUN
ijassa-837	70	7	of	of	ADP
ijassa-837	70	8	the	the	DET
ijassa-837	70	9	asset	asset	NOUN
ijassa-837	70	10	management	management	NOUN
ijassa-837	70	11	is	be	AUX
ijassa-837	70	12	to	to	PART
ijassa-837	70	13	choose	choose	VERB
ijassa-837	70	14	the	the	DET
ijassa-837	70	15	optimal	optimal	ADJ
ijassa-837	70	16	utilization	utilization	NOUN
ijassa-837	70	17	and	and	CCONJ
ijassa-837	70	18	asset	asset	NOUN
ijassa-837	70	19	allocation	allocation	NOUN
ijassa-837	70	20	policies	policy	NOUN
ijassa-837	70	21	for	for	ADP
ijassa-837	70	22	maximizing	maximize	VERB
ijassa-837	70	23	a	a	DET
ijassa-837	70	24	value	value	NOUN
ijassa-837	70	25	function	function	NOUN
ijassa-837	70	26	that	that	PRON
ijassa-837	70	27	discounts	discount	VERB
ijassa-837	70	28	exponentially	exponentially	ADV
ijassa-837	70	29	future	future	ADJ
ijassa-837	70	30	uncertain	uncertain	ADJ
ijassa-837	70	31	values	value	NOUN
ijassa-837	70	32	of	of	ADP
ijassa-837	70	33	hyperbolic	hyperbolic	ADJ
ijassa-837	70	34	absolute	absolute	ADJ
ijassa-837	70	35	risk	risk	NOUN
ijassa-837	70	36	aversion	aversion	NOUN
ijassa-837	70	37	(	(	PUNCT
ijassa-837	70	38	hara	hara	NOUN
ijassa-837	70	39	)	)	PUNCT
ijassa-837	70	40	utility	utility	NOUN
ijassa-837	70	41	function	function	NOUN
ijassa-837	70	42	over	over	ADP
ijassa-837	70	43	a	a	DET
ijassa-837	70	44	given	give	VERB
ijassa-837	70	45	time	time	NOUN
ijassa-837	70	46	horizon	horizon	NOUN
ijassa-837	70	47	with	with	ADP
ijassa-837	70	48	the	the	DET
ijassa-837	70	49	net	net	ADJ
ijassa-837	70	50	worth	worth	NOUN
ijassa-837	70	51	of	of	ADP
ijassa-837	70	52	tangible	tangible	ADJ
ijassa-837	70	53	assets	asset	NOUN
ijassa-837	70	54	as	as	ADP
ijassa-837	70	55	the	the	DET
ijassa-837	70	56	state	state	NOUN
ijassa-837	70	57	variable	variable	NOUN
ijassa-837	70	58	.	.	PUNCT
ijassa-837	71	1	the	the	DET
ijassa-837	71	2	risky	risky	ADJ
ijassa-837	71	3	asset	asset	NOUN
ijassa-837	71	4	is	be	AUX
ijassa-837	71	5	assumed	assume	VERB
ijassa-837	71	6	to	to	PART
ijassa-837	71	7	earn	earn	VERB
ijassa-837	71	8	an	an	DET
ijassa-837	71	9	uncertain	uncertain	ADJ
ijassa-837	71	10	return	return	NOUN
ijassa-837	71	11	and	and	CCONJ
ijassa-837	71	12	an	an	DET
ijassa-837	71	13	uncertain	uncertain	ADJ
ijassa-837	71	14	gain	gain	NOUN
ijassa-837	71	15	with	with	ADP
ijassa-837	71	16	the	the	DET
ijassa-837	71	17	mean	mean	ADJ
ijassa-837	71	18	rate	rate	NOUN
ijassa-837	71	19	of	of	ADP
ijassa-837	71	20	return	return	NOUN
ijassa-837	71	21	and	and	CCONJ
ijassa-837	71	22	capital	capital	NOUN
ijassa-837	71	23	gain	gain	NOUN
ijassa-837	71	24	.	.	PUNCT
ijassa-837	72	1	furthermore	furthermore	ADV
ijassa-837	72	2	,	,	PUNCT
ijassa-837	72	3	we	we	PRON
ijassa-837	72	4	express	express	VERB
ijassa-837	72	5	the	the	DET
ijassa-837	72	6	change	change	NOUN
ijassa-837	72	7	in	in	ADP
ijassa-837	72	8	liability	liability	NOUN
ijassa-837	72	9	as	as	ADP
ijassa-837	72	10	the	the	DET
ijassa-837	72	11	sum	sum	NOUN
ijassa-837	72	12	of	of	ADP
ijassa-837	72	13	liability	liability	NOUN
ijassa-837	72	14	service	service	NOUN
ijassa-837	72	15	with	with	ADP
ijassa-837	72	16	an	an	DET
ijassa-837	72	17	assumption	assumption	NOUN
ijassa-837	72	18	of	of	ADP
ijassa-837	72	19	uncertainty	uncertainty	NOUN
ijassa-837	72	20	,	,	PUNCT
ijassa-837	72	21	consumptions	consumption	NOUN
ijassa-837	72	22	,	,	PUNCT
ijassa-837	72	23	investment	investment	NOUN
ijassa-837	72	24	and	and	CCONJ
ijassa-837	72	25	net	net	ADJ
ijassa-837	72	26	foreign	foreign	ADJ
ijassa-837	72	27	supply	supply	NOUN
ijassa-837	72	28	,	,	PUNCT
ijassa-837	72	29	less	less	ADJ
ijassa-837	72	30	taxation	taxation	NOUN
ijassa-837	72	31	,	,	PUNCT
ijassa-837	72	32	depreciation	depreciation	NOUN
ijassa-837	72	33	and	and	CCONJ
ijassa-837	72	34	revenue	revenue	NOUN
ijassa-837	72	35	over	over	ADP
ijassa-837	72	36	a	a	DET
ijassa-837	72	37	period	period	NOUN
ijassa-837	72	38	of	of	ADP
ijassa-837	72	39	time	time	NOUN
ijassa-837	72	40	;	;	PUNCT
ijassa-837	72	41	see	see	VERB
ijassa-837	72	42	[	[	X
ijassa-837	72	43	13	13	NUM
ijassa-837	72	44	]	]	PUNCT
ijassa-837	72	45	.	.	PUNCT
ijassa-837	73	1	thus	thus	ADV
ijassa-837	73	2	,	,	PUNCT
ijassa-837	73	3	we	we	PRON
ijassa-837	73	4	have	have	VERB
ijassa-837	73	5	j(x	j(x	NOUN
ijassa-837	73	6	)	)	PUNCT
ijassa-837	74	1	=	=	SYM
ijassa-837	74	2	max	max	PROPN
ijassa-837	74	3	ψ	ψ	X
ijassa-837	74	4	ec	ec	PROPN
ijassa-837	74	5			PROPN
ijassa-837	74	6	tn∫	tn∫	NOUN
ijassa-837	74	7	t0	t0	PROPN
ijassa-837	74	8	1	1	NUM
ijassa-837	74	9	λ	λ	PROPN
ijassa-837	74	10	e−ηt(ψx(t))λdt	e−ηt(ψx(t))λdt	ADV
ijassa-837	74	11			NOUN
ijassa-837	74	12	subject	subject	ADJ
ijassa-837	74	13	to	to	ADP
ijassa-837	74	14	dx(t	dx(t	NOUN
ijassa-837	74	15	)	)	PUNCT
ijassa-837	74	16	=	=	PUNCT
ijassa-837	75	1	[	[	X
ijassa-837	75	2	(	(	PUNCT
ijassa-837	75	3	κ+	κ+	NOUN
ijassa-837	75	4	β)ψ	β)ψ	PUNCT
ijassa-837	75	5	−	−	PROPN
ijassa-837	75	6	(	(	PUNCT
ijassa-837	75	7	ω(ψ	ω(ψ	ADP
ijassa-837	75	8	−	−	NOUN
ijassa-837	75	9	1	1	NUM
ijassa-837	75	10	)	)	PUNCT
ijassa-837	75	11	+	+	CCONJ
ijassa-837	75	12	µ+	µ+	X
ijassa-837	75	13	h−	h−	PROPN
ijassa-837	75	14	j	j	PROPN
ijassa-837	75	15	−	−	PROPN
ijassa-837	75	16	g)]x(t)dt	g)]x(t)dt	NOUN
ijassa-837	76	1	+	+	PROPN
ijassa-837	76	2	[	[	X
ijassa-837	76	3	ψσp	ψσp	X
ijassa-837	76	4	+	+	X
ijassa-837	76	5	ψσb	ψσb	ADJ
ijassa-837	76	6	−	−	PROPN
ijassa-837	76	7	σr(ψ	σr(ψ	PUNCT
ijassa-837	76	8	−	−	PROPN
ijassa-837	76	9	1)]x(t)dc(t	1)]x(t)dc(t	NUM
ijassa-837	76	10	)	)	PUNCT
ijassa-837	76	11	.	.	PUNCT
ijassa-837	77	1	this	this	DET
ijassa-837	77	2	model	model	NOUN
ijassa-837	77	3	has	have	AUX
ijassa-837	77	4	been	be	AUX
ijassa-837	77	5	solved	solve	VERB
ijassa-837	77	6	,	,	PUNCT
ijassa-837	77	7	characterised	characterise	VERB
ijassa-837	77	8	,	,	PUNCT
ijassa-837	77	9	analysed	analyse	VERB
ijassa-837	77	10	and	and	CCONJ
ijassa-837	77	11	applied	apply	VERB
ijassa-837	77	12	to	to	ADP
ijassa-837	77	13	some	some	DET
ijassa-837	77	14	real	real	ADJ
ijassa-837	77	15	-	-	PUNCT
ijassa-837	77	16	life	life	NOUN
ijassa-837	77	17	situations	situation	NOUN
ijassa-837	77	18	of	of	ADP
ijassa-837	77	19	sustainable	sustainable	ADJ
ijassa-837	77	20	finance	finance	NOUN
ijassa-837	77	21	;	;	PUNCT
ijassa-837	77	22	see	see	VERB
ijassa-837	77	23	[	[	X
ijassa-837	77	24	14–17	14–17	NUM
ijassa-837	77	25	]	]	SYM
ijassa-837	77	26	.	.	PUNCT
ijassa-837	78	1	3.1	3.1	NUM
ijassa-837	78	2	.	.	PUNCT
ijassa-837	78	3	optimality	optimality	NOUN
ijassa-837	78	4	of	of	ADP
ijassa-837	78	5	the	the	DET
ijassa-837	78	6	solution	solution	NOUN
ijassa-837	78	7	it	it	PRON
ijassa-837	78	8	is	be	AUX
ijassa-837	78	9	important	important	ADJ
ijassa-837	78	10	to	to	PART
ijassa-837	78	11	derive	derive	VERB
ijassa-837	78	12	the	the	DET
ijassa-837	78	13	optimal	optimal	ADJ
ijassa-837	78	14	solutions	solution	NOUN
ijassa-837	78	15	of	of	ADP
ijassa-837	78	16	the	the	DET
ijassa-837	78	17	capital	capital	NOUN
ijassa-837	78	18	asset	asset	NOUN
ijassa-837	78	19	management	management	NOUN
ijassa-837	78	20	problem	problem	NOUN
ijassa-837	78	21	as	as	SCONJ
ijassa-837	78	22	it	it	PRON
ijassa-837	78	23	would	would	AUX
ijassa-837	78	24	help	help	VERB
ijassa-837	78	25	in	in	ADP
ijassa-837	78	26	selecting	select	VERB
ijassa-837	78	27	the	the	DET
ijassa-837	78	28	best	well	ADV
ijassa-837	78	29	available	available	ADJ
ijassa-837	78	30	values	value	NOUN
ijassa-837	78	31	.	.	PUNCT
ijassa-837	79	1	the	the	DET
ijassa-837	79	2	following	follow	VERB
ijassa-837	79	3	are	be	AUX
ijassa-837	79	4	utilised	utilise	VERB
ijassa-837	79	5	in	in	ADP
ijassa-837	79	6	deriving	derive	VERB
ijassa-837	79	7	the	the	DET
ijassa-837	79	8	optimality	optimality	NOUN
ijassa-837	79	9	of	of	ADP
ijassa-837	79	10	the	the	DET
ijassa-837	79	11	proposed	propose	VERB
ijassa-837	79	12	model	model	NOUN
ijassa-837	79	13	.	.	PUNCT
ijassa-837	80	1	definition	definition	NOUN
ijassa-837	80	2	3.1	3.1	NUM
ijassa-837	80	3	:	:	PUNCT
ijassa-837	80	4	(	(	PUNCT
ijassa-837	80	5	principle	principle	NOUN
ijassa-837	80	6	of	of	ADP
ijassa-837	80	7	optimality	optimality	NOUN
ijassa-837	80	8	)	)	PUNCT
ijassa-837	81	1	[	[	X
ijassa-837	81	2	19	19	NUM
ijassa-837	81	3	]	]	X
ijassa-837	81	4	:	:	PUNCT
ijassa-837	81	5	for	for	ADP
ijassa-837	81	6	any	any	PRON
ijassa-837	81	7	(	(	PUNCT
ijassa-837	81	8	t	t	PROPN
ijassa-837	81	9	,	,	PUNCT
ijassa-837	81	10	x	x	NOUN
ijassa-837	81	11	)	)	PUNCT
ijassa-837	81	12	∈	∈	PROPN
ijassa-837	82	1	[	[	X
ijassa-837	82	2	0	0	NUM
ijassa-837	82	3	,	,	PUNCT
ijassa-837	82	4	t	t	NOUN
ijassa-837	82	5	)	)	PUNCT
ijassa-837	82	6	×	×	NOUN
ijassa-837	82	7	r	r	NOUN
ijassa-837	82	8	and	and	CCONJ
ijassa-837	82	9	∆t	∆t	PROPN
ijassa-837	82	10	>	>	SYM
ijassa-837	82	11	0	0	PUNCT
ijassa-837	83	1	with	with	ADP
ijassa-837	83	2	t+	t+	NOUN
ijassa-837	83	3	∆t	∆t	PROPN
ijassa-837	83	4	<	<	X
ijassa-837	83	5	t	t	PROPN
ijassa-837	83	6	,	,	PUNCT
ijassa-837	83	7	we	we	PRON
ijassa-837	83	8	have	have	VERB
ijassa-837	83	9	j(t	j(t	PROPN
ijassa-837	83	10	,	,	PUNCT
ijassa-837	83	11	x	x	X
ijassa-837	83	12	)	)	PUNCT
ijassa-837	84	1	=	=	SYM
ijassa-837	84	2	sup	sup	NOUN
ijassa-837	84	3	d	d	X
ijassa-837	84	4	e	e	X
ijassa-837	85	1	[	[	X
ijassa-837	85	2	∫	∫	X
ijassa-837	85	3	t+∆t	t+∆t	PROPN
ijassa-837	85	4	t	t	PROPN
ijassa-837	85	5	f(xs	f(xs	PROPN
ijassa-837	85	6	,	,	PUNCT
ijassa-837	85	7	d	d	X
ijassa-837	85	8	,	,	PUNCT
ijassa-837	85	9	s)ds+	s)ds+	NOUN
ijassa-837	85	10	j(t+	j(t+	PROPN
ijassa-837	85	11	∆t	∆t	PROPN
ijassa-837	85	12	,	,	PUNCT
ijassa-837	85	13	x+	x+	PROPN
ijassa-837	85	14	∆xt	∆xt	NUM
ijassa-837	85	15	)	)	PUNCT
ijassa-837	85	16	]	]	PUNCT
ijassa-837	85	17	,	,	PUNCT
ijassa-837	85	18	copyright	copyright	NOUN
ijassa-837	85	19	©	©	PROPN
ijassa-837	85	20	2021	2021	NUM
ijassa-837	85	21	assa	assa	NOUN
ijassa-837	85	22	.	.	PUNCT
ijassa-837	86	1	adv	adv	PROPN
ijassa-837	86	2	syst	syst	PROPN
ijassa-837	86	3	sci	sci	PROPN
ijassa-837	86	4	appl	appl	PROPN
ijassa-837	86	5	(	(	PUNCT
ijassa-837	86	6	2021	2021	NUM
ijassa-837	86	7	)	)	PUNCT
ijassa-837	86	8	12	12	NUM
ijassa-837	86	9	t.	t.	NOUN
ijassa-837	86	10	latunde	latunde	NOUN
ijassa-837	86	11	,	,	PUNCT
ijassa-837	86	12	a.a	a.a	PROPN
ijassa-837	86	13	.	.	PROPN
ijassa-837	86	14	ishaq	ishaq	PROPN
ijassa-837	86	15	,	,	PUNCT
ijassa-837	86	16	a.f	a.f	PROPN
ijassa-837	86	17	.	.	PROPN
ijassa-837	86	18	adedotun	adedotun	PROPN
ijassa-837	86	19	,	,	PUNCT
ijassa-837	86	20	j.o	j.o	PROPN
ijassa-837	86	21	.	.	PROPN
ijassa-837	86	22	ajinuhi	ajinuhi	PROPN
ijassa-837	86	23	,	,	PUNCT
ijassa-837	86	24	o.j	o.j	PROPN
ijassa-837	86	25	.	.	PROPN
ijassa-837	86	26	peter	peter	PROPN
ijassa-837	86	27	where	where	SCONJ
ijassa-837	86	28	x+	x+	PUNCT
ijassa-837	86	29	∆xt	∆xt	PROPN
ijassa-837	86	30	=	=	SYM
ijassa-837	86	31	xt+∆t	xt+∆t	PROPN
ijassa-837	86	32	.	.	PUNCT
ijassa-837	86	33	theorem	theorem	VERB
ijassa-837	86	34	3.1	3.1	NUM
ijassa-837	86	35	:	:	PUNCT
ijassa-837	86	36	(	(	PUNCT
ijassa-837	86	37	equation	equation	NOUN
ijassa-837	86	38	of	of	ADP
ijassa-837	86	39	optimality	optimality	NOUN
ijassa-837	86	40	,	,	PUNCT
ijassa-837	86	41	[	[	X
ijassa-837	86	42	18	18	NUM
ijassa-837	86	43	]	]	PUNCT
ijassa-837	86	44	)	)	PUNCT
ijassa-837	86	45	let	let	VERB
ijassa-837	86	46	j(t	j(t	PROPN
ijassa-837	86	47	,	,	PUNCT
ijassa-837	86	48	x	x	PRON
ijassa-837	86	49	)	)	PUNCT
ijassa-837	86	50	be	be	VERB
ijassa-837	86	51	twice	twice	ADV
ijassa-837	86	52	differentiable	differentiable	ADJ
ijassa-837	86	53	on	on	ADP
ijassa-837	86	54	[	[	X
ijassa-837	86	55	0	0	NUM
ijassa-837	86	56	,	,	PUNCT
ijassa-837	86	57	t	t	NOUN
ijassa-837	86	58	)	)	PUNCT
ijassa-837	86	59	×	×	NOUN
ijassa-837	86	60	r	r	NOUN
ijassa-837	86	61	,	,	PUNCT
ijassa-837	86	62	then	then	ADV
ijassa-837	86	63	we	we	PRON
ijassa-837	86	64	have	have	VERB
ijassa-837	86	65	−jt(t	−jt(t	NOUN
ijassa-837	86	66	,	,	PUNCT
ijassa-837	86	67	x	x	NOUN
ijassa-837	86	68	)	)	PUNCT
ijassa-837	86	69	=	=	SYM
ijassa-837	87	1	sup	sup	NOUN
ijassa-837	87	2	d	d	PROPN
ijassa-837	87	3	[	[	X
ijassa-837	87	4	f(x	f(x	PROPN
ijassa-837	87	5	,	,	PUNCT
ijassa-837	87	6	d	d	PROPN
ijassa-837	87	7	,	,	PUNCT
ijassa-837	87	8	t	t	PROPN
ijassa-837	87	9	)	)	PUNCT
ijassa-837	87	10	)	)	PUNCT
ijassa-837	88	1	+	+	CCONJ
ijassa-837	88	2	jx(t	jx(t	PROPN
ijassa-837	88	3	,	,	PUNCT
ijassa-837	88	4	x)v	x)v	PUNCT
ijassa-837	88	5	(	(	PUNCT
ijassa-837	88	6	x	x	X
ijassa-837	88	7	,	,	PUNCT
ijassa-837	88	8	d	d	NOUN
ijassa-837	88	9	)	)	PUNCT
ijassa-837	88	10	]	]	PUNCT
ijassa-837	88	11	,	,	PUNCT
ijassa-837	88	12	where	where	SCONJ
ijassa-837	88	13	jt(t	jt(t	NOUN
ijassa-837	88	14	,	,	PUNCT
ijassa-837	88	15	x	x	NOUN
ijassa-837	88	16	)	)	PUNCT
ijassa-837	88	17	and	and	CCONJ
ijassa-837	88	18	jx(t	jx(t	PROPN
ijassa-837	88	19	,	,	PUNCT
ijassa-837	88	20	x	x	PRON
ijassa-837	88	21	)	)	PUNCT
ijassa-837	88	22	are	be	AUX
ijassa-837	88	23	the	the	DET
ijassa-837	88	24	partial	partial	ADJ
ijassa-837	88	25	derivatives	derivative	NOUN
ijassa-837	88	26	of	of	ADP
ijassa-837	88	27	the	the	DET
ijassa-837	88	28	function	function	NOUN
ijassa-837	88	29	j(t	j(t	PROPN
ijassa-837	88	30	,	,	PUNCT
ijassa-837	88	31	x	x	X
ijassa-837	88	32	)	)	PUNCT
ijassa-837	88	33	in	in	ADP
ijassa-837	88	34	t	t	PROPN
ijassa-837	88	35	and	and	CCONJ
ijassa-837	88	36	x	x	X
ijassa-837	88	37	respectively	respectively	ADV
ijassa-837	88	38	.	.	PUNCT
ijassa-837	89	1	proof	proof	NOUN
ijassa-837	89	2	see	see	VERB
ijassa-837	89	3	(	(	PUNCT
ijassa-837	89	4	[	[	X
ijassa-837	89	5	19	19	NUM
ijassa-837	89	6	]	]	PUNCT
ijassa-837	89	7	,	,	PUNCT
ijassa-837	89	8	pp	pp	ADJ
ijassa-837	89	9	.	.	PUNCT
ijassa-837	90	1	15	15	NUM
ijassa-837	90	2	-	-	SYM
ijassa-837	90	3	16	16	NUM
ijassa-837	90	4	)	)	PUNCT
ijassa-837	90	5	3.2	3.2	NUM
ijassa-837	90	6	.	.	PUNCT
ijassa-837	91	1	optimal	optimal	ADJ
ijassa-837	91	2	control	control	NOUN
ijassa-837	91	3	of	of	ADP
ijassa-837	91	4	the	the	DET
ijassa-837	91	5	model	model	NOUN
ijassa-837	91	6	the	the	DET
ijassa-837	91	7	above	above	ADJ
ijassa-837	91	8	equation	equation	NOUN
ijassa-837	91	9	of	of	ADP
ijassa-837	91	10	optimality	optimality	NOUN
ijassa-837	91	11	is	be	AUX
ijassa-837	91	12	applied	apply	VERB
ijassa-837	91	13	to	to	ADP
ijassa-837	91	14	the	the	DET
ijassa-837	91	15	uncertain	uncertain	ADJ
ijassa-837	91	16	optimal	optimal	ADJ
ijassa-837	91	17	control	control	NOUN
ijassa-837	91	18	problem	problem	NOUN
ijassa-837	91	19	to	to	PART
ijassa-837	91	20	evaluate	evaluate	VERB
ijassa-837	91	21	the	the	DET
ijassa-837	91	22	optimal	optimal	ADJ
ijassa-837	91	23	controls	control	NOUN
ijassa-837	91	24	analytically	analytically	ADV
ijassa-837	91	25	.	.	PUNCT
ijassa-837	92	1	applying	apply	VERB
ijassa-837	92	2	equation	equation	NOUN
ijassa-837	92	3	(	(	PUNCT
ijassa-837	92	4	3.1	3.1	NUM
ijassa-837	92	5	)	)	PUNCT
ijassa-837	92	6	,	,	PUNCT
ijassa-837	92	7	we	we	PRON
ijassa-837	92	8	obtain	obtain	VERB
ijassa-837	92	9	−jt	−jt	NOUN
ijassa-837	92	10	=	=	SYM
ijassa-837	92	11	max	max	PROPN
ijassa-837	92	12	ψ	ψ	X
ijassa-837	92	13	{	{	PUNCT
ijassa-837	92	14	1	1	NUM
ijassa-837	92	15	λ	λ	NOUN
ijassa-837	92	16	e−ηt(ψx)λ	e−ηt(ψx)λ	NOUN
ijassa-837	92	17	−	−	PROPN
ijassa-837	92	18	ψ(κ+	ψ(κ+	PROPN
ijassa-837	92	19	β)xjx	β)xjx	PROPN
ijassa-837	93	1	+	+	CCONJ
ijassa-837	93	2	(	(	PUNCT
ijassa-837	93	3	µ+	µ+	X
ijassa-837	93	4	j	j	PROPN
ijassa-837	94	1	+	+	CCONJ
ijassa-837	94	2	g	g	PROPN
ijassa-837	94	3	+	+	CCONJ
ijassa-837	94	4	h−	h−	PROPN
ijassa-837	94	5	(	(	PUNCT
ijassa-837	94	6	ψ	ψ	X
ijassa-837	94	7	−	−	NUM
ijassa-837	94	8	1)ω)xjx	1)ω)xjx	NUM
ijassa-837	94	9	}	}	PUNCT
ijassa-837	94	10	=	=	SYM
ijassa-837	94	11	max	max	PROPN
ijassa-837	94	12	ψ	ψ	ADP
ijassa-837	94	13	h	h	NOUN
ijassa-837	94	14	where	where	SCONJ
ijassa-837	94	15	h	h	NOUN
ijassa-837	94	16	stands	stand	VERB
ijassa-837	94	17	for	for	ADP
ijassa-837	94	18	terms	term	NOUN
ijassa-837	94	19	in	in	ADP
ijassa-837	94	20	the	the	DET
ijassa-837	94	21	braces	brace	NOUN
ijassa-837	94	22	(	(	PUNCT
ijassa-837	94	23	condition	condition	VERB
ijassa-837	94	24	the	the	DET
ijassa-837	94	25	optimal	optimal	ADJ
ijassa-837	94	26	ψ	ψ	NOUN
ijassa-837	94	27	satisfies	satisfie	NOUN
ijassa-837	94	28	)	)	PUNCT
ijassa-837	94	29	,	,	PUNCT
ijassa-837	95	1	∂h	∂h	PROPN
ijassa-837	95	2	∂ψ	∂ψ	VERB
ijassa-837	96	1	=	=	SYM
ijassa-837	96	2	0	0	PROPN
ijassa-837	96	3	,	,	PUNCT
ijassa-837	96	4	∂h	∂h	PROPN
ijassa-837	96	5	∂ψ	∂ψ	VERB
ijassa-837	96	6	=	=	SYM
ijassa-837	96	7	e−ηt(ψx)λ−1x	e−ηt(ψx)λ−1x	PROPN
ijassa-837	97	1	−	−	PROPN
ijassa-837	97	2	(	(	PUNCT
ijassa-837	97	3	κ+	κ+	PROPN
ijassa-837	97	4	β	β	X
ijassa-837	97	5	−	−	NOUN
ijassa-837	97	6	ω)xjx	ω)xjx	NUM
ijassa-837	97	7	=	=	SYM
ijassa-837	97	8	0	0	NUM
ijassa-837	97	9	,	,	PUNCT
ijassa-837	97	10	ψ	ψ	X
ijassa-837	97	11	=	=	NOUN
ijassa-837	97	12	1	1	NUM
ijassa-837	97	13	x	x	SYM
ijassa-837	97	14	[	[	PUNCT
ijassa-837	97	15	(	(	PUNCT
ijassa-837	97	16	ω	ω	NOUN
ijassa-837	97	17	−	−	PROPN
ijassa-837	97	18	κ−	κ−	X
ijassa-837	98	1	β)jxe	β)jxe	PROPN
ijassa-837	98	2	ηt	ηt	ADP
ijassa-837	98	3	]	]	SYM
ijassa-837	98	4	1	1	NUM
ijassa-837	98	5	λ−1	λ−1	PROPN
ijassa-837	98	6	.	.	PUNCT
ijassa-837	99	1	hence	hence	ADV
ijassa-837	99	2	,	,	PUNCT
ijassa-837	99	3	by	by	ADP
ijassa-837	99	4	solving	solve	VERB
ijassa-837	99	5	the	the	DET
ijassa-837	99	6	above	above	ADJ
ijassa-837	99	7	equations	equation	NOUN
ijassa-837	99	8	,	,	PUNCT
ijassa-837	99	9	we	we	PRON
ijassa-837	99	10	obtained	obtain	VERB
ijassa-837	99	11	the	the	DET
ijassa-837	99	12	optimal	optimal	ADJ
ijassa-837	99	13	ratio	ratio	NOUN
ijassa-837	99	14	of	of	ADP
ijassa-837	99	15	the	the	DET
ijassa-837	99	16	net	net	ADJ
ijassa-837	99	17	worth	worth	NOUN
ijassa-837	99	18	in	in	ADP
ijassa-837	99	19	capital	capital	NOUN
ijassa-837	99	20	assets	asset	NOUN
ijassa-837	99	21	as	as	ADP
ijassa-837	99	22	ψ∗	ψ∗	NOUN
ijassa-837	99	23	=	=	SYM
ijassa-837	99	24	(	(	PUNCT
ijassa-837	99	25	µ+	µ+	X
ijassa-837	99	26	j	j	PROPN
ijassa-837	100	1	+	+	CCONJ
ijassa-837	100	2	g	g	PROPN
ijassa-837	100	3	+	+	PROPN
ijassa-837	100	4	ω	ω	NUM
ijassa-837	100	5	−	−	PROPN
ijassa-837	100	6	h)λ−	h)λ−	PROPN
ijassa-837	100	7	η	η	PROPN
ijassa-837	100	8	(	(	PUNCT
ijassa-837	100	9	1−	1−	NUM
ijassa-837	100	10	λ)(κ+	λ)(κ+	NOUN
ijassa-837	100	11	β	β	X
ijassa-837	100	12	−	−	PROPN
ijassa-837	100	13	ω	ω	NUM
ijassa-837	100	14	)	)	PUNCT
ijassa-837	100	15	.	.	PUNCT
ijassa-837	101	1	however	however	ADV
ijassa-837	101	2	,	,	PUNCT
ijassa-837	101	3	the	the	DET
ijassa-837	101	4	optimal	optimal	ADJ
ijassa-837	101	5	liability	liability	NOUN
ijassa-837	101	6	ratio	ratio	NOUN
ijassa-837	101	7	,	,	PUNCT
ijassa-837	101	8	τ	τ	PROPN
ijassa-837	101	9	∗	∗	NOUN
ijassa-837	101	10	can	can	AUX
ijassa-837	101	11	also	also	ADV
ijassa-837	101	12	be	be	AUX
ijassa-837	101	13	obtained	obtain	VERB
ijassa-837	101	14	as	as	ADP
ijassa-837	101	15	a	a	DET
ijassa-837	101	16	control	control	NOUN
ijassa-837	101	17	to	to	ADP
ijassa-837	101	18	the	the	DET
ijassa-837	101	19	system	system	NOUN
ijassa-837	101	20	.	.	PUNCT
ijassa-837	102	1	since	since	SCONJ
ijassa-837	102	2	τ	τ	PROPN
ijassa-837	102	3	=	=	SYM
ijassa-837	102	4	ψ	ψ	PROPN
ijassa-837	102	5	−	−	PROPN
ijassa-837	102	6	1	1	NUM
ijassa-837	102	7	τ	τ	PROPN
ijassa-837	102	8	∗	∗	NOUN
ijassa-837	102	9	=	=	PUNCT
ijassa-837	102	10	[	[	PUNCT
ijassa-837	102	11	(	(	PUNCT
ijassa-837	102	12	µ+	µ+	X
ijassa-837	102	13	j	j	PROPN
ijassa-837	102	14	+	+	CCONJ
ijassa-837	102	15	g	g	PROPN
ijassa-837	102	16	+	+	PROPN
ijassa-837	102	17	ω	ω	NUM
ijassa-837	102	18	−	−	PROPN
ijassa-837	102	19	h)λ−	h)λ−	PROPN
ijassa-837	102	20	η	η	PROPN
ijassa-837	102	21	(	(	PUNCT
ijassa-837	102	22	1−	1−	NUM
ijassa-837	102	23	λ)(κ+	λ)(κ+	NOUN
ijassa-837	102	24	β	β	X
ijassa-837	102	25	−	−	PROPN
ijassa-837	102	26	ω	ω	NUM
ijassa-837	102	27	)	)	PUNCT
ijassa-837	102	28	]	]	PUNCT
ijassa-837	103	1	−	−	PROPN
ijassa-837	103	2	1	1	NUM
ijassa-837	103	3	or	or	CCONJ
ijassa-837	103	4	τ	τ	PROPN
ijassa-837	103	5	∗	∗	NOUN
ijassa-837	103	6	=	=	SYM
ijassa-837	103	7	(	(	PUNCT
ijassa-837	103	8	µ+	µ+	X
ijassa-837	103	9	j	j	PROPN
ijassa-837	103	10	+	+	CCONJ
ijassa-837	103	11	g	g	PROPN
ijassa-837	103	12	−	−	PROPN
ijassa-837	103	13	h)λ−	h)λ−	PROPN
ijassa-837	103	14	(	(	PUNCT
ijassa-837	103	15	1−	1−	NUM
ijassa-837	103	16	λ)(κ+	λ)(κ+	NOUN
ijassa-837	103	17	β	β	X
ijassa-837	103	18	)	)	PUNCT
ijassa-837	104	1	+	+	CCONJ
ijassa-837	105	1	ω	ω	NUM
ijassa-837	105	2	−	−	PROPN
ijassa-837	105	3	η	η	PROPN
ijassa-837	105	4	(	(	PUNCT
ijassa-837	105	5	1−	1−	NUM
ijassa-837	105	6	λ)(κ+	λ)(κ+	NOUN
ijassa-837	105	7	β	β	X
ijassa-837	105	8	−	−	PROPN
ijassa-837	105	9	ω	ω	NUM
ijassa-837	105	10	)	)	PUNCT
ijassa-837	105	11	.	.	PUNCT
ijassa-837	106	1	3.3	3.3	NUM
ijassa-837	106	2	.	.	PUNCT
ijassa-837	106	3	solution	solution	NOUN
ijassa-837	106	4	to	to	ADP
ijassa-837	106	5	the	the	DET
ijassa-837	106	6	model	model	NOUN
ijassa-837	106	7	here	here	ADV
ijassa-837	106	8	,	,	PUNCT
ijassa-837	106	9	the	the	DET
ijassa-837	106	10	analytical	analytical	ADJ
ijassa-837	106	11	and	and	CCONJ
ijassa-837	106	12	numerical	numerical	ADJ
ijassa-837	106	13	solutions	solution	NOUN
ijassa-837	106	14	are	be	AUX
ijassa-837	106	15	derived	derive	VERB
ijassa-837	106	16	.	.	PUNCT
ijassa-837	107	1	for	for	ADP
ijassa-837	107	2	the	the	DET
ijassa-837	107	3	analytic	analytic	ADJ
ijassa-837	107	4	solution	solution	NOUN
ijassa-837	107	5	,	,	PUNCT
ijassa-837	107	6	the	the	DET
ijassa-837	107	7	required	require	VERB
ijassa-837	107	8	problem	problem	NOUN
ijassa-837	107	9	under	under	ADP
ijassa-837	107	10	consideration	consideration	NOUN
ijassa-837	107	11	is	be	AUX
ijassa-837	107	12	j(ψ	j(ψ	PROPN
ijassa-837	107	13	)	)	PUNCT
ijassa-837	108	1	=	=	SYM
ijassa-837	108	2	min	min	PROPN
ijassa-837	108	3	ψ	ψ	PART
ijassa-837	108	4	ec	ec	PROPN
ijassa-837	108	5			PROPN
ijassa-837	108	6	tn∫	tn∫	NOUN
ijassa-837	108	7	t0	t0	PROPN
ijassa-837	108	8	1	1	NUM
ijassa-837	108	9	λ	λ	PROPN
ijassa-837	108	10	e−ηt(ψx(t))λdt	e−ηt(ψx(t))λdt	ADV
ijassa-837	108	11			NOUN
ijassa-837	108	12	copyright	copyright	NOUN
ijassa-837	108	13	©	©	ADP
ijassa-837	108	14	2021	2021	NUM
ijassa-837	108	15	assa	assa	NOUN
ijassa-837	108	16	.	.	PUNCT
ijassa-837	109	1	adv	adv	PROPN
ijassa-837	109	2	syst	syst	PROPN
ijassa-837	109	3	sci	sci	PROPN
ijassa-837	109	4	appl	appl	PROPN
ijassa-837	109	5	(	(	PUNCT
ijassa-837	109	6	2021	2021	NUM
ijassa-837	109	7	)	)	PUNCT
ijassa-837	109	8	uncertain	uncertain	ADJ
ijassa-837	109	9	controllability	controllability	NOUN
ijassa-837	109	10	and	and	CCONJ
ijassa-837	109	11	observability	observability	NOUN
ijassa-837	109	12	of	of	ADP
ijassa-837	109	13	an	an	DET
ijassa-837	109	14	optimal	optimal	ADJ
ijassa-837	109	15	control	control	NOUN
ijassa-837	109	16	model	model	NOUN
ijassa-837	109	17	13	13	NUM
ijassa-837	109	18	subject	subject	NOUN
ijassa-837	109	19	to	to	ADP
ijassa-837	109	20	dx(t	dx(t	NOUN
ijassa-837	109	21	)	)	PUNCT
ijassa-837	109	22	=	=	PUNCT
ijassa-837	110	1	[	[	X
ijassa-837	110	2	(	(	PUNCT
ijassa-837	110	3	κ+	κ+	NOUN
ijassa-837	110	4	β)ψ	β)ψ	PUNCT
ijassa-837	110	5	−	−	PROPN
ijassa-837	110	6	(	(	PUNCT
ijassa-837	110	7	ω(ψ	ω(ψ	ADP
ijassa-837	110	8	−	−	NOUN
ijassa-837	110	9	1	1	NUM
ijassa-837	110	10	)	)	PUNCT
ijassa-837	110	11	+	+	CCONJ
ijassa-837	110	12	µ+	µ+	X
ijassa-837	110	13	h−	h−	PROPN
ijassa-837	110	14	j	j	PROPN
ijassa-837	110	15	−	−	PROPN
ijassa-837	110	16	g)]x(t)dt	g)]x(t)dt	NOUN
ijassa-837	111	1	+	+	PROPN
ijassa-837	111	2	[	[	X
ijassa-837	111	3	ψσp	ψσp	X
ijassa-837	111	4	+	+	X
ijassa-837	111	5	ψσb	ψσb	ADJ
ijassa-837	111	6	−	−	PROPN
ijassa-837	111	7	σr(ψ	σr(ψ	PUNCT
ijassa-837	111	8	−	−	PROPN
ijassa-837	111	9	1)]x(t)dc(t	1)]x(t)dc(t	NUM
ijassa-837	111	10	)	)	PUNCT
ijassa-837	111	11	with	with	ADP
ijassa-837	111	12	α	α	NOUN
ijassa-837	111	13	-	-	PUNCT
ijassa-837	111	14	path	path	NOUN
ijassa-837	111	15	equation	equation	NOUN
ijassa-837	111	16	dx(t)α	dx(t)α	PROPN
ijassa-837	111	17	=	=	PUNCT
ijassa-837	112	1	[	[	X
ijassa-837	112	2	(	(	PUNCT
ijassa-837	112	3	κ+	κ+	NOUN
ijassa-837	112	4	β)ψ	β)ψ	PUNCT
ijassa-837	112	5	−	−	PROPN
ijassa-837	112	6	(	(	PUNCT
ijassa-837	112	7	ω(ψ	ω(ψ	ADP
ijassa-837	112	8	−	−	NOUN
ijassa-837	112	9	1	1	NUM
ijassa-837	112	10	)	)	PUNCT
ijassa-837	112	11	+	+	CCONJ
ijassa-837	112	12	µ+	µ+	DET
ijassa-837	112	13	h−	h−	PROPN
ijassa-837	112	14	j	j	PROPN
ijassa-837	112	15	−	−	PROPN
ijassa-837	112	16	g)]x(t)αdt	g)]x(t)αdt	NOUN
ijassa-837	113	1	+	+	NOUN
ijassa-837	113	2	|[ψσp	|[ψσp	X
ijassa-837	113	3	+	+	NUM
ijassa-837	113	4	ψσb	ψσb	ADJ
ijassa-837	113	5	−	−	PROPN
ijassa-837	113	6	σr(ψ	σr(ψ	PUNCT
ijassa-837	113	7	−	−	PROPN
ijassa-837	113	8	1)]x(t)α|φ−1(α)dt	1)]x(t)α|φ−1(α)dt	PROPN
ijassa-837	113	9	.	.	PUNCT
ijassa-837	114	1	the	the	DET
ijassa-837	114	2	analytical	analytical	ADJ
ijassa-837	114	3	solution	solution	NOUN
ijassa-837	114	4	to	to	ADP
ijassa-837	114	5	the	the	DET
ijassa-837	114	6	constraint	constraint	NOUN
ijassa-837	114	7	is	be	AUX
ijassa-837	114	8	x(t	x(t	PROPN
ijassa-837	114	9	)	)	PUNCT
ijassa-837	115	1	=	=	PUNCT
ijassa-837	115	2	x0	x0	PROPN
ijassa-837	115	3	exp	exp	NOUN
ijassa-837	115	4	(	(	PUNCT
ijassa-837	115	5	[	[	X
ijassa-837	115	6	(	(	PUNCT
ijassa-837	115	7	κ+	κ+	NOUN
ijassa-837	115	8	β)ψ	β)ψ	PUNCT
ijassa-837	115	9	−	−	PROPN
ijassa-837	115	10	(	(	PUNCT
ijassa-837	115	11	ω(ψ	ω(ψ	ADP
ijassa-837	115	12	−	−	NOUN
ijassa-837	115	13	1	1	NUM
ijassa-837	115	14	)	)	PUNCT
ijassa-837	115	15	+	+	CCONJ
ijassa-837	115	16	µ+	µ+	PRON
ijassa-837	115	17	h−	h−	PROPN
ijassa-837	115	18	j	j	PROPN
ijassa-837	115	19	−	−	NOUN
ijassa-837	116	1	g)]t	g)]t	X
ijassa-837	117	1	+	+	PROPN
ijassa-837	117	2	[	[	X
ijassa-837	117	3	ψσp	ψσp	X
ijassa-837	117	4	+	+	X
ijassa-837	117	5	ψσb	ψσb	ADJ
ijassa-837	117	6	−	−	PROPN
ijassa-837	117	7	σr(ψ	σr(ψ	PUNCT
ijassa-837	117	8	−	−	PROPN
ijassa-837	117	9	1)]c(t	1)]c(t	NUM
ijassa-837	117	10	)	)	PUNCT
ijassa-837	117	11	)	)	PUNCT
ijassa-837	118	1	and	and	CCONJ
ijassa-837	118	2	its	its	PRON
ijassa-837	118	3	inverse	inverse	ADJ
ijassa-837	118	4	uncertainty	uncertainty	NOUN
ijassa-837	118	5	distribution	distribution	NOUN
ijassa-837	118	6	is	be	AUX
ijassa-837	118	7	ψ(t)−1(α	ψ(t)−1(α	ADJ
ijassa-837	118	8	)	)	PUNCT
ijassa-837	118	9	=	=	SYM
ijassa-837	118	10	x0	x0	PROPN
ijassa-837	118	11	exp	exp	NOUN
ijassa-837	118	12	(	(	PUNCT
ijassa-837	118	13	[	[	X
ijassa-837	118	14	(	(	PUNCT
ijassa-837	118	15	κ+	κ+	NOUN
ijassa-837	118	16	β)ψ	β)ψ	PUNCT
ijassa-837	119	1	−	−	PROPN
ijassa-837	119	2	(	(	PUNCT
ijassa-837	119	3	ω(ψ	ω(ψ	ADP
ijassa-837	119	4	−	−	NOUN
ijassa-837	119	5	1	1	NUM
ijassa-837	119	6	)	)	PUNCT
ijassa-837	119	7	+	+	CCONJ
ijassa-837	119	8	µ+	µ+	PRON
ijassa-837	119	9	h−	h−	PROPN
ijassa-837	119	10	j	j	PROPN
ijassa-837	119	11	−	−	NOUN
ijassa-837	119	12	g)]t	g)]t	X
ijassa-837	120	1	+	+	CCONJ
ijassa-837	121	1	[	[	X
ijassa-837	121	2	ψσp	ψσp	X
ijassa-837	121	3	+	+	X
ijassa-837	121	4	ψσb	ψσb	ADJ
ijassa-837	121	5	−	−	PROPN
ijassa-837	121	6	σr(ψ	σr(ψ	PUNCT
ijassa-837	121	7	−	−	PROPN
ijassa-837	121	8	1)]t	1)]t	NUM
ijassa-837	122	1	√	√	ADV
ijassa-837	122	2	3	3	NUM
ijassa-837	122	3	π	π	PROPN
ijassa-837	122	4	ln	ln	NOUN
ijassa-837	122	5	α	α	NOUN
ijassa-837	122	6	1−	1−	NUM
ijassa-837	122	7	α	α	NOUN
ijassa-837	122	8	)	)	PUNCT
ijassa-837	122	9	.	.	PUNCT
ijassa-837	123	1	hence	hence	ADV
ijassa-837	123	2	,	,	PUNCT
ijassa-837	123	3	ψ(t)−1(α	ψ(t)−1(α	ADJ
ijassa-837	123	4	)	)	PUNCT
ijassa-837	123	5	=	=	SYM
ijassa-837	123	6	e(x(t)α	e(x(t)α	NOUN
ijassa-837	123	7	)	)	PUNCT
ijassa-837	123	8	.	.	PUNCT
ijassa-837	124	1	3.4	3.4	NUM
ijassa-837	124	2	.	.	PUNCT
ijassa-837	124	3	multifactor	multifactor	NOUN
ijassa-837	124	4	model	model	NOUN
ijassa-837	124	5	the	the	DET
ijassa-837	124	6	multifactor	multifactor	NOUN
ijassa-837	124	7	model	model	NOUN
ijassa-837	124	8	can	can	AUX
ijassa-837	124	9	be	be	AUX
ijassa-837	124	10	expressed	express	VERB
ijassa-837	124	11	in	in	ADP
ijassa-837	124	12	the	the	DET
ijassa-837	124	13	following	follow	VERB
ijassa-837	124	14	form	form	NOUN
ijassa-837	124	15	:	:	PUNCT
ijassa-837	124	16	j(x	j(x	NUM
ijassa-837	124	17	)	)	PUNCT
ijassa-837	125	1	=	=	SYM
ijassa-837	125	2	max	max	PROPN
ijassa-837	125	3	ψ	ψ	X
ijassa-837	125	4	ec	ec	PROPN
ijassa-837	125	5			NUM
ijassa-837	125	6	tf∫	tf∫	PROPN
ijassa-837	125	7	t0	t0	PROPN
ijassa-837	125	8	1	1	NUM
ijassa-837	125	9	λ	λ	X
ijassa-837	125	10	e−ηt(uλ)tx1−λdt	e−ηt(uλ)tx1−λdt	PROPN
ijassa-837	125	11			NUM
ijassa-837	125	12	(	(	PUNCT
ijassa-837	125	13	3.3	3.3	NUM
ijassa-837	125	14	)	)	PUNCT
ijassa-837	125	15	subject	subject	NOUN
ijassa-837	125	16	to	to	ADP
ijassa-837	125	17	dx	dx	PROPN
ijassa-837	125	18	=	=	PUNCT
ijassa-837	125	19	fxdt+	fxdt+	PROPN
ijassa-837	125	20	upxdt+	upxdt+	X
ijassa-837	125	21	uqxdc(t	uqxdc(t	NOUN
ijassa-837	125	22	)	)	PUNCT
ijassa-837	125	23	,	,	PUNCT
ijassa-837	125	24	(	(	PUNCT
ijassa-837	125	25	3.4	3.4	NUM
ijassa-837	125	26	)	)	PUNCT
ijassa-837	126	1	where	where	SCONJ
ijassa-837	126	2	x	x	SYM
ijassa-837	126	3	=	=	PRON
ijassa-837	126	4			NUM
ijassa-837	126	5	x1	x1	PROPN
ijassa-837	126	6	t	t	PROPN
ijassa-837	126	7	x2	x2	PROPN
ijassa-837	126	8	t	t	PROPN
ijassa-837	126	9	...	...	PUNCT
ijassa-837	126	10	xnt	xnt	PROPN
ijassa-837	126	11			PROPN
ijassa-837	126	12	,	,	PUNCT
ijassa-837	126	13	u	u	NOUN
ijassa-837	126	14	=	=	NOUN
ijassa-837	126	15			NOUN
ijassa-837	126	16	ψ1	ψ1	VERB
ijassa-837	126	17	0	0	PUNCT
ijassa-837	126	18	·	·	PUNCT
ijassa-837	126	19	·	·	PUNCT
ijassa-837	126	20	·	·	PUNCT
ijassa-837	127	1	0	0	NUM
ijassa-837	127	2	0	0	NUM
ijassa-837	127	3	ψ2	ψ2	NOUN
ijassa-837	127	4	·	·	PUNCT
ijassa-837	127	5	·	·	PUNCT
ijassa-837	127	6	·	·	PUNCT
ijassa-837	127	7	0	0	NUM
ijassa-837	127	8	...	...	PUNCT
ijassa-837	127	9	.	.	PUNCT
ijassa-837	127	10	.	.	PUNCT
ijassa-837	127	11	.	.	PUNCT
ijassa-837	127	12	...	...	PUNCT
ijassa-837	127	13	.	.	PUNCT
ijassa-837	127	14	.	.	PUNCT
ijassa-837	127	15	.	.	PUNCT
ijassa-837	128	1	0	0	NUM
ijassa-837	128	2	0	0	NUM
ijassa-837	128	3	·	·	PUNCT
ijassa-837	128	4	·	·	PUNCT
ijassa-837	128	5	·	·	PUNCT
ijassa-837	128	6	ψn	ψn	PROPN
ijassa-837	128	7			PROPN
ijassa-837	128	8	,	,	PUNCT
ijassa-837	128	9	f	f	PROPN
ijassa-837	128	10	=	=	PRON
ijassa-837	128	11			X
ijassa-837	128	12	µ1	µ1	VERB
ijassa-837	128	13	+	+	CCONJ
ijassa-837	128	14	h1	h1	PROPN
ijassa-837	128	15	−	−	PROPN
ijassa-837	128	16	j1	j1	PROPN
ijassa-837	128	17	−	−	PROPN
ijassa-837	128	18	g1	g1	PROPN
ijassa-837	128	19	−	−	PROPN
ijassa-837	128	20	ω1	ω1	PROPN
ijassa-837	128	21	0	0	NUM
ijassa-837	128	22	·	·	PUNCT
ijassa-837	128	23	·	·	PUNCT
ijassa-837	128	24	·	·	PUNCT
ijassa-837	128	25	0	0	PUNCT
ijassa-837	128	26	0	0	NUM
ijassa-837	129	1	µ2	µ2	PROPN
ijassa-837	129	2	+	+	CCONJ
ijassa-837	129	3	h2	h2	PROPN
ijassa-837	129	4	−	−	PROPN
ijassa-837	129	5	j2	j2	PROPN
ijassa-837	129	6	−	−	PROPN
ijassa-837	129	7	g2	g2	PROPN
ijassa-837	129	8	−	−	PROPN
ijassa-837	129	9	ω2	ω2	PROPN
ijassa-837	129	10	·	·	PUNCT
ijassa-837	129	11	·	·	PUNCT
ijassa-837	129	12	·	·	PUNCT
ijassa-837	129	13	0	0	NUM
ijassa-837	129	14	...	...	PUNCT
ijassa-837	129	15	.	.	PUNCT
ijassa-837	129	16	.	.	PUNCT
ijassa-837	129	17	.	.	PUNCT
ijassa-837	129	18	.	.	PUNCT
ijassa-837	129	19	.	.	PUNCT
ijassa-837	130	1	.	.	PUNCT
ijassa-837	131	1	...	...	PUNCT
ijassa-837	132	1	0	0	NUM
ijassa-837	132	2	0	0	NUM
ijassa-837	132	3	·	·	PUNCT
ijassa-837	132	4	·	·	PUNCT
ijassa-837	132	5	·	·	PUNCT
ijassa-837	133	1	µn	µn	INTJ
ijassa-837	133	2	+	+	CCONJ
ijassa-837	133	3	hn	hn	PROPN
ijassa-837	133	4	−	−	PROPN
ijassa-837	133	5	jn	jn	PROPN
ijassa-837	133	6	−	−	PROPN
ijassa-837	134	1	gn	gn	PROPN
ijassa-837	135	1	−	−	X
ijassa-837	135	2	ωm	ωm	PUNCT
ijassa-837	135	3			PROPN
ijassa-837	135	4	,	,	PUNCT
ijassa-837	135	5	p	p	X
ijassa-837	135	6	=	=	PUNCT
ijassa-837	135	7			NUM
ijassa-837	135	8	κ1	κ1	NOUN
ijassa-837	135	9	+	+	CCONJ
ijassa-837	135	10	β1	β1	PROPN
ijassa-837	135	11	−	−	PROPN
ijassa-837	135	12	ω1	ω1	PROPN
ijassa-837	135	13	0	0	NUM
ijassa-837	135	14	·	·	PUNCT
ijassa-837	135	15	·	·	PUNCT
ijassa-837	135	16	·	·	PUNCT
ijassa-837	135	17	0	0	NUM
ijassa-837	135	18	0	0	NUM
ijassa-837	135	19	κ2	κ2	NOUN
ijassa-837	135	20	+	+	CCONJ
ijassa-837	135	21	β2	β2	PROPN
ijassa-837	135	22	−	−	PROPN
ijassa-837	135	23	ω2	ω2	PROPN
ijassa-837	135	24	·	·	PUNCT
ijassa-837	135	25	·	·	PUNCT
ijassa-837	135	26	·	·	PUNCT
ijassa-837	135	27	0	0	NUM
ijassa-837	135	28	...	...	PUNCT
ijassa-837	135	29	.	.	PUNCT
ijassa-837	135	30	.	.	PUNCT
ijassa-837	135	31	.	.	PUNCT
ijassa-837	135	32	.	.	PUNCT
ijassa-837	135	33	.	.	PUNCT
ijassa-837	135	34	.	.	PUNCT
ijassa-837	136	1	...	...	PUNCT
ijassa-837	137	1	0	0	NUM
ijassa-837	137	2	0	0	NUM
ijassa-837	137	3	·	·	PUNCT
ijassa-837	137	4	·	·	PUNCT
ijassa-837	137	5	·	·	PUNCT
ijassa-837	138	1	κn	κn	NOUN
ijassa-837	138	2	+	+	CCONJ
ijassa-837	138	3	βn	βn	VERB
ijassa-837	138	4	−	−	PROPN
ijassa-837	138	5	ωn	ωn	ADP
ijassa-837	138	6			PROPN
ijassa-837	138	7	,	,	PUNCT
ijassa-837	138	8	copyright	copyright	NOUN
ijassa-837	138	9	©	©	PROPN
ijassa-837	138	10	2021	2021	NUM
ijassa-837	138	11	assa	assa	NOUN
ijassa-837	138	12	.	.	PUNCT
ijassa-837	139	1	adv	adv	PROPN
ijassa-837	139	2	syst	syst	PROPN
ijassa-837	139	3	sci	sci	PROPN
ijassa-837	139	4	appl	appl	PROPN
ijassa-837	139	5	(	(	PUNCT
ijassa-837	139	6	2021	2021	NUM
ijassa-837	139	7	)	)	PUNCT
ijassa-837	139	8	14	14	NUM
ijassa-837	139	9	t.	t.	NOUN
ijassa-837	139	10	latunde	latunde	NOUN
ijassa-837	139	11	,	,	PUNCT
ijassa-837	139	12	a.a	a.a	PROPN
ijassa-837	139	13	.	.	PROPN
ijassa-837	139	14	ishaq	ishaq	PROPN
ijassa-837	139	15	,	,	PUNCT
ijassa-837	139	16	a.f	a.f	PROPN
ijassa-837	139	17	.	.	PROPN
ijassa-837	139	18	adedotun	adedotun	PROPN
ijassa-837	139	19	,	,	PUNCT
ijassa-837	139	20	j.o	j.o	PROPN
ijassa-837	139	21	.	.	PROPN
ijassa-837	139	22	ajinuhi	ajinuhi	PROPN
ijassa-837	139	23	,	,	PUNCT
ijassa-837	139	24	o.j	o.j	PROPN
ijassa-837	139	25	.	.	PROPN
ijassa-837	139	26	peter	peter	PROPN
ijassa-837	139	27	q	q	PROPN
ijassa-837	140	1	=	=	PRON
ijassa-837	140	2			PRON
ijassa-837	140	3	σ1p	σ1p	VERB
ijassa-837	140	4	+	+	CCONJ
ijassa-837	140	5	σ1b	σ1b	PROPN
ijassa-837	140	6	−	−	NOUN
ijassa-837	140	7	σ1r	σ1r	NOUN
ijassa-837	140	8	+	+	CCONJ
ijassa-837	140	9	1	1	NUM
ijassa-837	140	10	0	0	NUM
ijassa-837	140	11	·	·	PUNCT
ijassa-837	140	12	·	·	PUNCT
ijassa-837	140	13	·	·	PUNCT
ijassa-837	140	14	0	0	NUM
ijassa-837	140	15	0	0	NUM
ijassa-837	140	16	σ2p	σ2p	NOUN
ijassa-837	140	17	+	+	CCONJ
ijassa-837	140	18	σ2b	σ2b	PUNCT
ijassa-837	140	19	−	−	NUM
ijassa-837	140	20	σ2r	σ2r	ADV
ijassa-837	140	21	+	+	PROPN
ijassa-837	140	22	1	1	NUM
ijassa-837	140	23	·	·	PUNCT
ijassa-837	140	24	·	·	PUNCT
ijassa-837	140	25	·	·	PUNCT
ijassa-837	140	26	0	0	NUM
ijassa-837	140	27	...	...	PUNCT
ijassa-837	140	28	.	.	PUNCT
ijassa-837	140	29	.	.	PUNCT
ijassa-837	140	30	.	.	PUNCT
ijassa-837	140	31	.	.	PUNCT
ijassa-837	140	32	.	.	PUNCT
ijassa-837	140	33	.	.	PUNCT
ijassa-837	141	1	...	...	PUNCT
ijassa-837	142	1	0	0	NUM
ijassa-837	142	2	0	0	NUM
ijassa-837	142	3	·	·	PUNCT
ijassa-837	142	4	·	·	PUNCT
ijassa-837	142	5	·	·	PUNCT
ijassa-837	142	6	σnp	σnp	PROPN
ijassa-837	142	7	+	+	CCONJ
ijassa-837	142	8	σnb	σnb	PROPN
ijassa-837	142	9	−	−	PROPN
ijassa-837	142	10	σnr	σnr	NOUN
ijassa-837	142	11	+	+	NOUN
ijassa-837	142	12	1	1	NUM
ijassa-837	142	13			NOUN
ijassa-837	142	14	.	.	PUNCT
ijassa-837	143	1	see	see	VERB
ijassa-837	143	2	,	,	PUNCT
ijassa-837	143	3	for	for	ADP
ijassa-837	143	4	example	example	NOUN
ijassa-837	143	5	,	,	PUNCT
ijassa-837	143	6	[	[	X
ijassa-837	143	7	18	18	NUM
ijassa-837	143	8	]	]	PUNCT
ijassa-837	143	9	.	.	PUNCT
ijassa-837	144	1	equations	equation	NOUN
ijassa-837	144	2	(	(	PUNCT
ijassa-837	144	3	3.3	3.3	NUM
ijassa-837	144	4	)	)	PUNCT
ijassa-837	144	5	and	and	CCONJ
ijassa-837	144	6	(	(	PUNCT
ijassa-837	144	7	3.4	3.4	NUM
ijassa-837	144	8	)	)	PUNCT
ijassa-837	144	9	,	,	PUNCT
ijassa-837	144	10	which	which	PRON
ijassa-837	144	11	are	be	AUX
ijassa-837	144	12	the	the	DET
ijassa-837	144	13	model	model	NOUN
ijassa-837	144	14	of	of	ADP
ijassa-837	144	15	risky	risky	ADJ
ijassa-837	144	16	capital	capital	NOUN
ijassa-837	144	17	assets	asset	NOUN
ijassa-837	144	18	,	,	PUNCT
ijassa-837	144	19	is	be	AUX
ijassa-837	144	20	an	an	DET
ijassa-837	144	21	uncertain	uncertain	ADJ
ijassa-837	144	22	optimal	optimal	ADJ
ijassa-837	144	23	control	control	NOUN
ijassa-837	144	24	system	system	NOUN
ijassa-837	144	25	whereby	whereby	SCONJ
ijassa-837	144	26	x(t	x(t	PROPN
ijassa-837	144	27	)	)	PUNCT
ijassa-837	144	28	is	be	AUX
ijassa-837	144	29	the	the	DET
ijassa-837	144	30	state	state	NOUN
ijassa-837	144	31	,	,	PUNCT
ijassa-837	144	32	u	u	PROPN
ijassa-837	144	33	is	be	AUX
ijassa-837	144	34	the	the	DET
ijassa-837	144	35	control	control	NOUN
ijassa-837	144	36	,	,	PUNCT
ijassa-837	144	37	f	f	PROPN
ijassa-837	144	38	is	be	AUX
ijassa-837	144	39	n×	n×	PRON
ijassa-837	144	40	n	n	DET
ijassa-837	144	41	dimensional	dimensional	ADJ
ijassa-837	144	42	constant	constant	ADJ
ijassa-837	144	43	matrix	matrix	NOUN
ijassa-837	144	44	while	while	SCONJ
ijassa-837	144	45	p	p	NOUN
ijassa-837	144	46	and	and	CCONJ
ijassa-837	144	47	q	q	NOUN
ijassa-837	144	48	are	be	AUX
ijassa-837	144	49	n×m	n×m	PROPN
ijassa-837	144	50	dimensional	dimensional	ADJ
ijassa-837	144	51	constant	constant	ADJ
ijassa-837	144	52	matrices	matrix	NOUN
ijassa-837	144	53	,	,	PUNCT
ijassa-837	144	54	c(t	c(t	PROPN
ijassa-837	144	55	)	)	PUNCT
ijassa-837	144	56	is	be	AUX
ijassa-837	144	57	the	the	DET
ijassa-837	144	58	liu	liu	PROPN
ijassa-837	144	59	process	process	NOUN
ijassa-837	144	60	and	and	CCONJ
ijassa-837	144	61	j(x	j(x	NOUN
ijassa-837	144	62	)	)	PUNCT
ijassa-837	144	63	is	be	AUX
ijassa-837	144	64	the	the	DET
ijassa-837	144	65	objective	objective	ADJ
ijassa-837	144	66	functional	functional	NOUN
ijassa-837	144	67	.	.	PUNCT
ijassa-837	145	1	4	4	X
ijassa-837	145	2	.	.	X
ijassa-837	145	3	controllability	controllability	NOUN
ijassa-837	145	4	and	and	CCONJ
ijassa-837	145	5	observability	observability	NOUN
ijassa-837	145	6	of	of	ADP
ijassa-837	145	7	the	the	DET
ijassa-837	145	8	uncertain	uncertain	ADJ
ijassa-837	145	9	system	system	NOUN
ijassa-837	145	10	let	let	VERB
ijassa-837	145	11	(	(	PUNCT
ijassa-837	145	12	γ	γ	X
ijassa-837	145	13	,	,	PUNCT
ijassa-837	145	14	l	l	NOUN
ijassa-837	145	15	,	,	PUNCT
ijassa-837	145	16	m	m	VERB
ijassa-837	145	17	)	)	PUNCT
ijassa-837	145	18	be	be	AUX
ijassa-837	145	19	a	a	DET
ijassa-837	145	20	complete	complete	ADJ
ijassa-837	145	21	uncertainty	uncertainty	NOUN
ijassa-837	145	22	space	space	NOUN
ijassa-837	145	23	with	with	ADP
ijassa-837	145	24	uncertain	uncertain	ADJ
ijassa-837	145	25	measurem	measurem	NOUN
ijassa-837	145	26	on	on	ADP
ijassa-837	145	27	γ	γ	NOUN
ijassa-837	145	28	and	and	CCONJ
ijassa-837	145	29	a	a	DET
ijassa-837	145	30	filtration	filtration	NOUN
ijassa-837	145	31	{	{	PUNCT
ijassa-837	145	32	l(t)|t	l(t)|t	PROPN
ijassa-837	145	33	∈	∈	PROPN
ijassa-837	146	1	[	[	X
ijassa-837	146	2	0	0	NUM
ijassa-837	146	3	,	,	PUNCT
ijassa-837	146	4	t	t	NOUN
ijassa-837	146	5	]	]	PUNCT
ijassa-837	146	6	}	}	PUNCT
ijassa-837	146	7	generated	generate	VERB
ijassa-837	146	8	by	by	ADP
ijassa-837	146	9	n	n	ADV
ijassa-837	146	10	-	-	PUNCT
ijassa-837	146	11	dimensional	dimensional	ADJ
ijassa-837	146	12	uncertain	uncertain	ADJ
ijassa-837	146	13	process	process	NOUN
ijassa-837	146	14	{	{	PUNCT
ijassa-837	146	15	c(t	c(t	PROPN
ijassa-837	146	16	)	)	PUNCT
ijassa-837	146	17	:	:	PUNCT
ijassa-837	146	18	0	0	NUM
ijassa-837	146	19	≤	≤	NUM
ijassa-837	146	20	t	t	PROPN
ijassa-837	146	21	≤	≤	PROPN
ijassa-837	146	22	t	t	PROPN
ijassa-837	146	23	}	}	PUNCT
ijassa-837	146	24	defined	define	VERB
ijassa-837	146	25	on	on	ADP
ijassa-837	146	26	the	the	DET
ijassa-837	146	27	uncertainty	uncertainty	NOUN
ijassa-837	146	28	space	space	NOUN
ijassa-837	146	29	(	(	PUNCT
ijassa-837	146	30	γ	γ	X
ijassa-837	146	31	,	,	PUNCT
ijassa-837	146	32	l	l	NOUN
ijassa-837	146	33	,	,	PUNCT
ijassa-837	146	34	m	m	NOUN
ijassa-837	146	35	)	)	PUNCT
ijassa-837	146	36	.	.	PUNCT
ijassa-837	147	1	let	let	VERB
ijassa-837	147	2	l2(γ	l2(γ	NOUN
ijassa-837	147	3	,	,	PUNCT
ijassa-837	147	4	l(t),rn	l(t),rn	NOUN
ijassa-837	147	5	)	)	PUNCT
ijassa-837	147	6	represent	represent	VERB
ijassa-837	147	7	the	the	DET
ijassa-837	147	8	hilbert	hilbert	NOUN
ijassa-837	147	9	space	space	NOUN
ijassa-837	147	10	of	of	ADP
ijassa-837	147	11	all	all	DET
ijassa-837	147	12	l(t)-measurable	l(t)-measurable	ADJ
ijassa-837	147	13	square	square	ADJ
ijassa-837	147	14	integrable	integrable	ADJ
ijassa-837	147	15	uncertain	uncertain	ADJ
ijassa-837	147	16	variables	variable	NOUN
ijassa-837	147	17	with	with	ADP
ijassa-837	147	18	all	all	DET
ijassa-837	147	19	values	value	NOUN
ijassa-837	147	20	in	in	ADP
ijassa-837	147	21	rn	rn	PROPN
ijassa-837	147	22	.	.	PUNCT
ijassa-837	148	1	also	also	ADV
ijassa-837	148	2	,	,	PUNCT
ijassa-837	148	3	let	let	VERB
ijassa-837	148	4	ll2	ll2	NOUN
ijassa-837	148	5	(	(	PUNCT
ijassa-837	148	6	[	[	X
ijassa-837	148	7	0	0	NUM
ijassa-837	148	8	,	,	PUNCT
ijassa-837	148	9	t	t	X
ijassa-837	148	10	]	]	PUNCT
ijassa-837	148	11	,	,	PUNCT
ijassa-837	148	12	rn	rn	PROPN
ijassa-837	148	13	)	)	PUNCT
ijassa-837	148	14	represent	represent	VERB
ijassa-837	148	15	the	the	DET
ijassa-837	148	16	hilbert	hilbert	NOUN
ijassa-837	148	17	space	space	NOUN
ijassa-837	148	18	of	of	ADP
ijassa-837	148	19	all	all	DET
ijassa-837	148	20	square	square	ADJ
ijassa-837	148	21	integrable	integrable	ADJ
ijassa-837	148	22	and	and	CCONJ
ijassa-837	148	23	l(t)-measurable	l(t)-measurable	ADJ
ijassa-837	148	24	process	process	NOUN
ijassa-837	148	25	with	with	ADP
ijassa-837	148	26	the	the	DET
ijassa-837	148	27	values	value	NOUN
ijassa-837	148	28	in	in	ADP
ijassa-837	148	29	rn	rn	PROPN
ijassa-837	148	30	.	.	PUNCT
ijassa-837	149	1	let	let	VERB
ijassa-837	149	2	x(t	x(t	PROPN
ijassa-837	149	3	)	)	PUNCT
ijassa-837	150	1	=	=	PUNCT
ijassa-837	150	2	x(t+	x(t+	PUNCT
ijassa-837	150	3	s	s	X
ijassa-837	150	4	)	)	PUNCT
ijassa-837	150	5	for	for	ADP
ijassa-837	150	6	s	s	X
ijassa-837	150	7	∈	∈	PROPN
ijassa-837	151	1	[	[	X
ijassa-837	151	2	0	0	NUM
ijassa-837	151	3	,	,	PUNCT
ijassa-837	151	4	t	t	PROPN
ijassa-837	151	5	]	]	PUNCT
ijassa-837	151	6	represent	represent	VERB
ijassa-837	151	7	the	the	DET
ijassa-837	151	8	segment	segment	NOUN
ijassa-837	151	9	of	of	ADP
ijassa-837	151	10	the	the	DET
ijassa-837	151	11	trajectory	trajectory	NOUN
ijassa-837	151	12	,	,	PUNCT
ijassa-837	151	13	that	that	ADV
ijassa-837	151	14	is	be	AUX
ijassa-837	151	15	,	,	PUNCT
ijassa-837	152	1	x(t	x(t	PROPN
ijassa-837	152	2	)	)	PUNCT
ijassa-837	152	3	∈	∈	PROPN
ijassa-837	152	4	ll2	ll2	NOUN
ijassa-837	152	5	(	(	PUNCT
ijassa-837	152	6	[	[	X
ijassa-837	152	7	0	0	NUM
ijassa-837	152	8	,	,	PUNCT
ijassa-837	152	9	t	t	X
ijassa-837	152	10	]	]	PUNCT
ijassa-837	152	11	,	,	PUNCT
ijassa-837	152	12	l2(γ	l2(γ	PROPN
ijassa-837	152	13	,	,	PUNCT
ijassa-837	152	14	l(t),rn	l(t),rn	NOUN
ijassa-837	152	15	)	)	PUNCT
ijassa-837	152	16	)	)	PUNCT
ijassa-837	152	17	.	.	PUNCT
ijassa-837	153	1	letr	letr	PROPN
ijassa-837	153	2	be	be	AUX
ijassa-837	153	3	a	a	DET
ijassa-837	153	4	linear	linear	ADJ
ijassa-837	153	5	operator	operator	NOUN
ijassa-837	153	6	on	on	ADP
ijassa-837	153	7	the	the	DET
ijassa-837	153	8	hilbert	hilbert	PROPN
ijassa-837	153	9	space	space	PROPN
ijassa-837	153	10	l2(γ	l2(γ	PROPN
ijassa-837	153	11	,	,	PUNCT
ijassa-837	153	12	l(t),rn	l(t),rn	NOUN
ijassa-837	153	13	)	)	PUNCT
ijassa-837	153	14	with	with	ADP
ijassa-837	153	15	domaind1(r).r	domaind1(r).r	PROPN
ijassa-837	153	16	≥	≥	NOUN
ijassa-837	153	17	0	0	PUNCT
ijassa-837	154	1	if	if	SCONJ
ijassa-837	154	2	〈	〈	PROPN
ijassa-837	154	3	rc	rc	PROPN
ijassa-837	154	4	,	,	PUNCT
ijassa-837	154	5	c	c	PROPN
ijassa-837	154	6	〉	〉	NUM
ijassa-837	154	7	≥	≥	NOUN
ijassa-837	154	8	0	0	NUM
ijassa-837	154	9	for	for	ADP
ijassa-837	154	10	all	all	DET
ijassa-837	154	11	c	c	NOUN
ijassa-837	154	12	∈	∈	PROPN
ijassa-837	154	13	d1(r	d1(r	PROPN
ijassa-837	154	14	)	)	PUNCT
ijassa-837	154	15	,	,	PUNCT
ijassa-837	154	16	r	r	NOUN
ijassa-837	154	17	>	>	X
ijassa-837	154	18	0	0	PUNCT
ijassa-837	155	1	if	if	SCONJ
ijassa-837	155	2	〈	〈	PROPN
ijassa-837	155	3	rc	rc	PROPN
ijassa-837	155	4	,	,	PUNCT
ijassa-837	155	5	c	c	PROPN
ijassa-837	155	6	〉	〉	NUM
ijassa-837	155	7	>	>	X
ijassa-837	155	8	0	0	PUNCT
ijassa-837	155	9	for	for	ADP
ijassa-837	155	10	all	all	PRON
ijassa-837	155	11	nonzero	nonzero	PROPN
ijassa-837	155	12	c	c	PROPN
ijassa-837	155	13	∈	∈	PROPN
ijassa-837	155	14	d1(r	d1(r	PROPN
ijassa-837	155	15	)	)	PUNCT
ijassa-837	155	16	and	and	CCONJ
ijassa-837	155	17	r	r	NOUN
ijassa-837	155	18	is	be	AUX
ijassa-837	155	19	coercive	coercive	ADJ
ijassa-837	155	20	(	(	PUNCT
ijassa-837	155	21	r−	r−	PROPN
ijassa-837	155	22	γi	γi	PROPN
ijassa-837	155	23	≥	≥	NOUN
ijassa-837	155	24	0	0	NUM
ijassa-837	155	25	)	)	PUNCT
ijassa-837	155	26	if	if	SCONJ
ijassa-837	155	27	there	there	PRON
ijassa-837	155	28	exists	exist	VERB
ijassa-837	155	29	a	a	DET
ijassa-837	155	30	γ	γ	X
ijassa-837	155	31	>	>	X
ijassa-837	155	32	0	0	NUM
ijassa-837	155	33	such	such	ADJ
ijassa-837	155	34	that	that	SCONJ
ijassa-837	155	35	〈	〈	PROPN
ijassa-837	155	36	rc	rc	PROPN
ijassa-837	155	37	,	,	PUNCT
ijassa-837	155	38	c	c	PROPN
ijassa-837	155	39	〉	〉	PROPN
ijassa-837	155	40	≥	≥	NOUN
ijassa-837	155	41	γ	γ	NOUN
ijassa-837	155	42	‖c‖2for	‖c‖2for	ADP
ijassa-837	155	43	all	all	DET
ijassa-837	155	44	c	c	NOUN
ijassa-837	155	45	∈	∈	NOUN
ijassa-837	155	46	d1(r	d1(r	PROPN
ijassa-837	155	47	)	)	PUNCT
ijassa-837	155	48	.	.	PUNCT
ijassa-837	156	1	now	now	ADV
ijassa-837	156	2	,	,	PUNCT
ijassa-837	156	3	using	use	VERB
ijassa-837	156	4	the	the	DET
ijassa-837	156	5	proposed	propose	VERB
ijassa-837	156	6	model	model	NOUN
ijassa-837	156	7	with	with	ADP
ijassa-837	156	8	the	the	DET
ijassa-837	156	9	multidimensional	multidimensional	ADJ
ijassa-837	156	10	constraint	constraint	NOUN
ijassa-837	156	11	of	of	ADP
ijassa-837	156	12	uncertain	uncertain	ADJ
ijassa-837	156	13	differential	differential	ADJ
ijassa-837	156	14	equation	equation	NOUN
ijassa-837	156	15	dx(t	dx(t	NOUN
ijassa-837	156	16	)	)	PUNCT
ijassa-837	156	17	=	=	PUNCT
ijassa-837	156	18	fx(t)dt+	fx(t)dt+	NOUN
ijassa-837	156	19	upx(t)dt+	upx(t)dt+	PROPN
ijassa-837	156	20	uqx(t)dc(t	uqx(t)dc(t	NOUN
ijassa-837	156	21	)	)	PUNCT
ijassa-837	156	22	(	(	PUNCT
ijassa-837	156	23	4.5	4.5	NUM
ijassa-837	156	24	)	)	PUNCT
ijassa-837	156	25	for	for	ADP
ijassa-837	156	26	t	t	PROPN
ijassa-837	156	27	∈	∈	PROPN
ijassa-837	157	1	[	[	X
ijassa-837	157	2	0	0	NUM
ijassa-837	157	3	,	,	PUNCT
ijassa-837	157	4	t	t	X
ijassa-837	157	5	]	]	PUNCT
ijassa-837	157	6	with	with	ADP
ijassa-837	157	7	the	the	DET
ijassa-837	157	8	function	function	NOUN
ijassa-837	157	9	initial	initial	ADJ
ijassa-837	157	10	condition	condition	NOUN
ijassa-837	157	11	x0	x0	PROPN
ijassa-837	157	12	∈	∈	PROPN
ijassa-837	157	13	ll2	ll2	NOUN
ijassa-837	157	14	(	(	PUNCT
ijassa-837	157	15	[	[	X
ijassa-837	157	16	0	0	NUM
ijassa-837	157	17	,	,	PUNCT
ijassa-837	157	18	t	t	X
ijassa-837	157	19	]	]	PUNCT
ijassa-837	157	20	,	,	PUNCT
ijassa-837	157	21	l2(γ	l2(γ	PROPN
ijassa-837	157	22	,	,	PUNCT
ijassa-837	157	23	l(t),rn	l(t),rn	NOUN
ijassa-837	157	24	)	)	PUNCT
ijassa-837	157	25	)	)	PUNCT
ijassa-837	157	26	,	,	PUNCT
ijassa-837	157	27	where	where	SCONJ
ijassa-837	157	28	the	the	DET
ijassa-837	157	29	state	state	NOUN
ijassa-837	157	30	x(t	x(t	PROPN
ijassa-837	157	31	)	)	PUNCT
ijassa-837	157	32	∈	∈	PROPN
ijassa-837	157	33	l2(γ	l2(γ	PROPN
ijassa-837	157	34	,	,	PUNCT
ijassa-837	157	35	l(t),rn	l(t),rn	NOUN
ijassa-837	157	36	)	)	PUNCT
ijassa-837	157	37	and	and	CCONJ
ijassa-837	157	38	control	control	VERB
ijassa-837	157	39	ψ(t	ψ(t	PROPN
ijassa-837	157	40	)	)	PUNCT
ijassa-837	157	41	∈	∈	PROPN
ijassa-837	157	42	rm	rm	NOUN
ijassa-837	157	43	=	=	SYM
ijassa-837	157	44	u	u	PROPN
ijassa-837	157	45	.	.	PUNCT
ijassa-837	157	46	u	u	PROPN
ijassa-837	157	47	and	and	CCONJ
ijassa-837	157	48	f	f	PROPN
ijassa-837	157	49	are	be	AUX
ijassa-837	157	50	n×	n×	ADV
ijassa-837	157	51	n	n	DET
ijassa-837	157	52	dimensional	dimensional	ADJ
ijassa-837	157	53	constant	constant	ADJ
ijassa-837	157	54	matrix	matrix	NOUN
ijassa-837	157	55	while	while	SCONJ
ijassa-837	157	56	p	p	NOUN
ijassa-837	157	57	and	and	CCONJ
ijassa-837	157	58	q	q	NOUN
ijassa-837	157	59	are	be	AUX
ijassa-837	157	60	n×m	n×m	PROPN
ijassa-837	157	61	dimensional	dimensional	ADJ
ijassa-837	157	62	constant	constant	ADJ
ijassa-837	157	63	matrices	matrix	NOUN
ijassa-837	157	64	.	.	PUNCT
ijassa-837	158	1	thus	thus	ADV
ijassa-837	158	2	,	,	PUNCT
ijassa-837	158	3	suppose	suppose	VERB
ijassa-837	158	4	the	the	DET
ijassa-837	158	5	admissible	admissible	ADJ
ijassa-837	158	6	controls	control	NOUN
ijassa-837	158	7	u	u	NOUN
ijassa-837	158	8	=	=	NOUN
ijassa-837	158	9	ll2	ll2	NOUN
ijassa-837	158	10	(	(	PUNCT
ijassa-837	158	11	[	[	X
ijassa-837	158	12	0	0	NUM
ijassa-837	158	13	,	,	PUNCT
ijassa-837	158	14	t	t	X
ijassa-837	158	15	]	]	PUNCT
ijassa-837	158	16	,	,	PUNCT
ijassa-837	158	17	rm	rm	PROPN
ijassa-837	158	18	)	)	PUNCT
ijassa-837	158	19	,	,	PUNCT
ijassa-837	158	20	then	then	ADV
ijassa-837	158	21	for	for	ADP
ijassa-837	158	22	any	any	DET
ijassa-837	158	23	given	give	VERB
ijassa-837	158	24	initial	initial	ADJ
ijassa-837	158	25	condition	condition	NOUN
ijassa-837	158	26	x0	x0	PROPN
ijassa-837	158	27	∈	∈	PROPN
ijassa-837	158	28	ll2	ll2	NOUN
ijassa-837	158	29	(	(	PUNCT
ijassa-837	158	30	[	[	X
ijassa-837	158	31	0	0	NUM
ijassa-837	158	32	,	,	PUNCT
ijassa-837	158	33	t	t	X
ijassa-837	158	34	]	]	PUNCT
ijassa-837	158	35	,	,	PUNCT
ijassa-837	158	36	l2(γ	l2(γ	PROPN
ijassa-837	158	37	,	,	PUNCT
ijassa-837	158	38	l(t),rn	l(t),rn	NOUN
ijassa-837	158	39	)	)	PUNCT
ijassa-837	158	40	)	)	PUNCT
ijassa-837	158	41	and	and	CCONJ
ijassa-837	158	42	any	any	DET
ijassa-837	158	43	admissible	admissible	ADJ
ijassa-837	158	44	control	control	NOUN
ijassa-837	158	45	ψ	ψ	ADP
ijassa-837	158	46	∈	∈	PROPN
ijassa-837	158	47	u	u	NOUN
ijassa-837	158	48	for	for	ADP
ijassa-837	158	49	t	t	PROPN
ijassa-837	158	50	∈	∈	PROPN
ijassa-837	159	1	[	[	X
ijassa-837	159	2	0	0	NUM
ijassa-837	159	3	,	,	PUNCT
ijassa-837	159	4	t	t	X
ijassa-837	159	5	]	]	PUNCT
ijassa-837	159	6	,	,	PUNCT
ijassa-837	159	7	there	there	PRON
ijassa-837	159	8	exists	exist	VERB
ijassa-837	159	9	a	a	DET
ijassa-837	159	10	unique	unique	ADJ
ijassa-837	159	11	solution	solution	NOUN
ijassa-837	159	12	x(t;x0	x(t;x0	NOUN
ijassa-837	159	13	,	,	PUNCT
ijassa-837	159	14	ψ	ψ	X
ijassa-837	159	15	)	)	PUNCT
ijassa-837	159	16	∈	∈	PROPN
ijassa-837	159	17	l2(γ	l2(γ	PROPN
ijassa-837	159	18	,	,	PUNCT
ijassa-837	159	19	l(t),rn	l(t),rn	NOUN
ijassa-837	159	20	)	)	PUNCT
ijassa-837	159	21	of	of	ADP
ijassa-837	159	22	the	the	DET
ijassa-837	159	23	constraint	constraint	ADJ
ijassa-837	159	24	uncertain	uncertain	ADJ
ijassa-837	159	25	differential	differential	ADJ
ijassa-837	159	26	state	state	NOUN
ijassa-837	159	27	equation	equation	NOUN
ijassa-837	159	28	(	(	PUNCT
ijassa-837	159	29	4.5	4.5	NUM
ijassa-837	159	30	)	)	PUNCT
ijassa-837	159	31	;	;	PUNCT
ijassa-837	159	32	see	see	VERB
ijassa-837	159	33	[	[	X
ijassa-837	159	34	20	20	NUM
ijassa-837	159	35	]	]	PUNCT
ijassa-837	159	36	.	.	PUNCT
ijassa-837	160	1	4.1	4.1	NUM
ijassa-837	160	2	.	.	PUNCT
ijassa-837	161	1	controllability	controllability	NOUN
ijassa-837	161	2	definition	definition	NOUN
ijassa-837	161	3	4.1	4.1	NUM
ijassa-837	161	4	:	:	PUNCT
ijassa-837	161	5	the	the	DET
ijassa-837	161	6	uncertain	uncertain	ADJ
ijassa-837	161	7	dynamic	dynamic	ADJ
ijassa-837	161	8	system	system	NOUN
ijassa-837	161	9	(	(	PUNCT
ijassa-837	161	10	4.5	4.5	NUM
ijassa-837	161	11	)	)	PUNCT
ijassa-837	161	12	is	be	AUX
ijassa-837	161	13	said	say	VERB
ijassa-837	161	14	to	to	PART
ijassa-837	161	15	be	be	AUX
ijassa-837	161	16	relatively	relatively	ADV
ijassa-837	161	17	exactly	exactly	ADV
ijassa-837	161	18	controllable	controllable	ADJ
ijassa-837	161	19	on	on	ADP
ijassa-837	161	20	[	[	X
ijassa-837	161	21	0	0	NUM
ijassa-837	161	22	,	,	PUNCT
ijassa-837	161	23	t	t	X
ijassa-837	161	24	]	]	PUNCT
ijassa-837	161	25	if	if	SCONJ
ijassa-837	161	26	r(t)(u	r(t)(u	NUM
ijassa-837	161	27	)	)	PUNCT
ijassa-837	161	28	=	=	SYM
ijassa-837	161	29	l2(γ	l2(γ	PROPN
ijassa-837	161	30	,	,	PUNCT
ijassa-837	161	31	l(t),rn	l(t),rn	NOUN
ijassa-837	161	32	)	)	PUNCT
ijassa-837	161	33	.	.	PUNCT
ijassa-837	162	1	this	this	PRON
ijassa-837	162	2	implies	imply	VERB
ijassa-837	162	3	that	that	SCONJ
ijassa-837	162	4	if	if	SCONJ
ijassa-837	162	5	all	all	DET
ijassa-837	162	6	the	the	DET
ijassa-837	162	7	points	point	NOUN
ijassa-837	162	8	in	in	ADP
ijassa-837	162	9	l2(γ	l2(γ	PROPN
ijassa-837	162	10	,	,	PUNCT
ijassa-837	162	11	l(t),rn	l(t),rn	NOUN
ijassa-837	162	12	)	)	PUNCT
ijassa-837	162	13	can	can	AUX
ijassa-837	162	14	exactly	exactly	ADV
ijassa-837	162	15	be	be	AUX
ijassa-837	162	16	reached	reach	VERB
ijassa-837	162	17	at	at	ADP
ijassa-837	162	18	time	time	NOUN
ijassa-837	162	19	t	t	NOUN
ijassa-837	162	20	from	from	ADP
ijassa-837	162	21	any	any	DET
ijassa-837	162	22	arbitrary	arbitrary	ADJ
ijassa-837	162	23	initial	initial	ADJ
ijassa-837	162	24	condition	condition	NOUN
ijassa-837	162	25	x0	x0	PROPN
ijassa-837	162	26	∈	∈	PROPN
ijassa-837	162	27	ll2	ll2	NOUN
ijassa-837	162	28	(	(	PUNCT
ijassa-837	162	29	[	[	X
ijassa-837	162	30	0	0	NUM
ijassa-837	162	31	,	,	PUNCT
ijassa-837	162	32	t	t	X
ijassa-837	162	33	]	]	PUNCT
ijassa-837	162	34	,	,	PUNCT
ijassa-837	162	35	l2(γ	l2(γ	PROPN
ijassa-837	162	36	,	,	PUNCT
ijassa-837	162	37	l(t),rn	l(t),rn	NOUN
ijassa-837	162	38	)	)	PUNCT
ijassa-837	162	39	)	)	PUNCT
ijassa-837	162	40	.	.	PUNCT
ijassa-837	163	1	definition	definition	NOUN
ijassa-837	163	2	4.2	4.2	NUM
ijassa-837	163	3	:	:	PUNCT
ijassa-837	163	4	the	the	DET
ijassa-837	163	5	uncertain	uncertain	ADJ
ijassa-837	163	6	dynamic	dynamic	ADJ
ijassa-837	163	7	system	system	NOUN
ijassa-837	163	8	(	(	PUNCT
ijassa-837	163	9	4.5	4.5	NUM
ijassa-837	163	10	)	)	PUNCT
ijassa-837	163	11	is	be	AUX
ijassa-837	163	12	said	say	VERB
ijassa-837	163	13	to	to	PART
ijassa-837	163	14	be	be	AUX
ijassa-837	163	15	relatively	relatively	ADV
ijassa-837	163	16	approximately	approximately	ADV
ijassa-837	163	17	controllable	controllable	ADJ
ijassa-837	163	18	on	on	ADP
ijassa-837	163	19	[	[	X
ijassa-837	163	20	0	0	NUM
ijassa-837	163	21	,	,	PUNCT
ijassa-837	163	22	t	t	X
ijassa-837	163	23	]	]	PUNCT
ijassa-837	163	24	if	if	SCONJ
ijassa-837	163	25	r(t)(u	r(t)(u	NUM
ijassa-837	163	26	)	)	PUNCT
ijassa-837	163	27	=	=	SYM
ijassa-837	163	28	l2(γ	l2(γ	PROPN
ijassa-837	163	29	,	,	PUNCT
ijassa-837	163	30	l(t),rn	l(t),rn	NOUN
ijassa-837	163	31	)	)	PUNCT
ijassa-837	163	32	.	.	PUNCT
ijassa-837	164	1	copyright	copyright	NOUN
ijassa-837	164	2	©	©	PROPN
ijassa-837	164	3	2021	2021	NUM
ijassa-837	164	4	assa	assa	NOUN
ijassa-837	164	5	.	.	PUNCT
ijassa-837	165	1	adv	adv	PROPN
ijassa-837	165	2	syst	syst	PROPN
ijassa-837	165	3	sci	sci	PROPN
ijassa-837	165	4	appl	appl	PROPN
ijassa-837	165	5	(	(	PUNCT
ijassa-837	165	6	2021	2021	NUM
ijassa-837	165	7	)	)	PUNCT
ijassa-837	165	8	uncertain	uncertain	ADJ
ijassa-837	165	9	controllability	controllability	NOUN
ijassa-837	165	10	and	and	CCONJ
ijassa-837	165	11	observability	observability	NOUN
ijassa-837	165	12	of	of	ADP
ijassa-837	165	13	an	an	DET
ijassa-837	165	14	optimal	optimal	ADJ
ijassa-837	165	15	control	control	NOUN
ijassa-837	165	16	model	model	NOUN
ijassa-837	165	17	15	15	NUM
ijassa-837	165	18	this	this	PRON
ijassa-837	165	19	implies	imply	VERB
ijassa-837	165	20	that	that	SCONJ
ijassa-837	165	21	if	if	SCONJ
ijassa-837	165	22	all	all	DET
ijassa-837	165	23	the	the	DET
ijassa-837	165	24	points	point	NOUN
ijassa-837	165	25	in	in	ADP
ijassa-837	165	26	l2(γ	l2(γ	PROPN
ijassa-837	165	27	,	,	PUNCT
ijassa-837	165	28	l(t),rn	l(t),rn	NOUN
ijassa-837	165	29	)	)	PUNCT
ijassa-837	165	30	can	can	AUX
ijassa-837	165	31	approximately	approximately	ADV
ijassa-837	165	32	be	be	AUX
ijassa-837	165	33	reached	reach	VERB
ijassa-837	165	34	at	at	ADP
ijassa-837	165	35	time	time	NOUN
ijassa-837	165	36	t	t	NOUN
ijassa-837	165	37	from	from	ADP
ijassa-837	165	38	any	any	DET
ijassa-837	165	39	arbitrary	arbitrary	ADJ
ijassa-837	165	40	initial	initial	ADJ
ijassa-837	165	41	condition	condition	NOUN
ijassa-837	165	42	x0	x0	PROPN
ijassa-837	165	43	∈	∈	PROPN
ijassa-837	165	44	ll2	ll2	NOUN
ijassa-837	165	45	(	(	PUNCT
ijassa-837	165	46	[	[	X
ijassa-837	165	47	0	0	NUM
ijassa-837	165	48	,	,	PUNCT
ijassa-837	165	49	t	t	X
ijassa-837	165	50	]	]	PUNCT
ijassa-837	165	51	,	,	PUNCT
ijassa-837	165	52	l2(γ	l2(γ	PROPN
ijassa-837	165	53	,	,	PUNCT
ijassa-837	165	54	l(t),rn	l(t),rn	NOUN
ijassa-837	165	55	)	)	PUNCT
ijassa-837	165	56	)	)	PUNCT
ijassa-837	165	57	.	.	PUNCT
ijassa-837	166	1	the	the	DET
ijassa-837	166	2	relationship	relationship	NOUN
ijassa-837	166	3	between	between	ADP
ijassa-837	166	4	the	the	DET
ijassa-837	166	5	controllability	controllability	NOUN
ijassa-837	166	6	concepts	concept	NOUN
ijassa-837	166	7	for	for	ADP
ijassa-837	166	8	the	the	DET
ijassa-837	166	9	uncertain	uncertain	ADJ
ijassa-837	166	10	dynamic	dynamic	ADJ
ijassa-837	166	11	system	system	NOUN
ijassa-837	166	12	(	(	PUNCT
ijassa-837	166	13	4.5	4.5	NUM
ijassa-837	166	14	)	)	PUNCT
ijassa-837	166	15	and	and	CCONJ
ijassa-837	166	16	the	the	DET
ijassa-837	166	17	controllability	controllability	NOUN
ijassa-837	166	18	of	of	ADP
ijassa-837	166	19	the	the	DET
ijassa-837	166	20	related	relate	VERB
ijassa-837	166	21	deterministic	deterministic	ADJ
ijassa-837	166	22	dynamic	dynamic	ADJ
ijassa-837	166	23	system	system	NOUN
ijassa-837	166	24	below	below	ADP
ijassa-837	166	25	dx(t	dx(t	NOUN
ijassa-837	166	26	)	)	PUNCT
ijassa-837	166	27	=	=	PUNCT
ijassa-837	166	28	fx(t)dt+	fx(t)dt+	NOUN
ijassa-837	166	29	upx(t)dt	upx(t)dt	PRON
ijassa-837	166	30	for	for	ADP
ijassa-837	166	31	t	t	PROPN
ijassa-837	166	32	∈	∈	PROPN
ijassa-837	167	1	[	[	X
ijassa-837	167	2	0	0	NUM
ijassa-837	167	3	,	,	PUNCT
ijassa-837	167	4	t	t	X
ijassa-837	167	5	]	]	PUNCT
ijassa-837	167	6	,	,	PUNCT
ijassa-837	167	7	(	(	PUNCT
ijassa-837	167	8	4.6	4.6	NUM
ijassa-837	167	9	)	)	PUNCT
ijassa-837	167	10	where	where	SCONJ
ijassa-837	167	11	the	the	DET
ijassa-837	167	12	admissible	admissible	ADJ
ijassa-837	167	13	control	control	NOUN
ijassa-837	167	14	ψ	ψ	ADP
ijassa-837	167	15	∈	∈	PROPN
ijassa-837	167	16	l2([0	l2([0	PROPN
ijassa-837	167	17	,	,	PUNCT
ijassa-837	167	18	t	t	X
ijassa-837	167	19	]	]	PUNCT
ijassa-837	167	20	,	,	PUNCT
ijassa-837	167	21	rm	rm	PROPN
ijassa-837	167	22	)	)	PUNCT
ijassa-837	167	23	.	.	PUNCT
ijassa-837	168	1	firstly	firstly	ADV
ijassa-837	168	2	,	,	PUNCT
ijassa-837	168	3	the	the	DET
ijassa-837	168	4	deterministic	deterministic	ADJ
ijassa-837	168	5	system	system	NOUN
ijassa-837	168	6	(	(	PUNCT
ijassa-837	168	7	4.6	4.6	NUM
ijassa-837	168	8	)	)	PUNCT
ijassa-837	168	9	is	be	AUX
ijassa-837	168	10	defined	define	VERB
ijassa-837	168	11	according	accord	VERB
ijassa-837	168	12	to	to	ADP
ijassa-837	168	13	[	[	X
ijassa-837	168	14	1	1	NUM
ijassa-837	168	15	]	]	PUNCT
ijassa-837	168	16	.	.	PUNCT
ijassa-837	169	1	let	let	VERB
ijassa-837	169	2	qj(t	qj(t	PRON
ijassa-837	169	3	)	)	PUNCT
ijassa-837	169	4	=	=	SYM
ijassa-837	169	5	fqj−1(t	fqj−1(t	X
ijassa-837	169	6	)	)	PUNCT
ijassa-837	169	7	for	for	ADP
ijassa-837	169	8	j	j	PROPN
ijassa-837	169	9	=	=	SYM
ijassa-837	169	10	1	1	NUM
ijassa-837	169	11	,	,	PUNCT
ijassa-837	169	12	2	2	NUM
ijassa-837	169	13	,	,	PUNCT
ijassa-837	169	14	3	3	NUM
ijassa-837	169	15	,	,	PUNCT
ijassa-837	169	16	.	.	PUNCT
ijassa-837	169	17	.	.	PUNCT
ijassa-837	170	1	.	.	PUNCT
ijassa-837	171	1	and	and	CCONJ
ijassa-837	171	2	t	t	X
ijassa-837	171	3	>	>	X
ijassa-837	171	4	0	0	NUM
ijassa-837	171	5	,	,	PUNCT
ijassa-837	171	6	with	with	ADP
ijassa-837	171	7	the	the	DET
ijassa-837	171	8	initial	initial	ADJ
ijassa-837	171	9	condition	condition	NOUN
ijassa-837	171	10	q(t	q(t	PROPN
ijassa-837	171	11	)	)	PUNCT
ijassa-837	171	12	=	=	SYM
ijassa-837	171	13	q0(0	q0(0	NOUN
ijassa-837	171	14	)	)	PUNCT
ijassa-837	172	1	=	=	SYM
ijassa-837	172	2	j	j	PROPN
ijassa-837	172	3	,	,	PUNCT
ijassa-837	172	4	t	t	PROPN
ijassa-837	172	5	=	=	SYM
ijassa-837	172	6	0	0	NUM
ijassa-837	172	7	,	,	PUNCT
ijassa-837	172	8	q(t	q(t	PROPN
ijassa-837	172	9	)	)	PUNCT
ijassa-837	172	10	=	=	SYM
ijassa-837	172	11	q0(t	q0(t	PROPN
ijassa-837	172	12	)	)	PUNCT
ijassa-837	172	13	=	=	SYM
ijassa-837	172	14	0	0	NUM
ijassa-837	172	15	,	,	PUNCT
ijassa-837	172	16	t	t	PROPN
ijassa-837	172	17	6=	6=	PROPN
ijassa-837	172	18	0	0	NUM
ijassa-837	172	19	.	.	PUNCT
ijassa-837	173	1	for	for	ADP
ijassa-837	173	2	instance	instance	NOUN
ijassa-837	173	3	,	,	PUNCT
ijassa-837	173	4	the	the	DET
ijassa-837	173	5	sequence	sequence	NOUN
ijassa-837	173	6	of	of	ADP
ijassa-837	173	7	the	the	DET
ijassa-837	173	8	n×	n×	ADV
ijassa-837	173	9	n	n	CCONJ
ijassa-837	173	10	dimensional	dimensional	ADJ
ijassa-837	173	11	matrices	matrix	NOUN
ijassa-837	173	12	qj(t	qj(t	PUNCT
ijassa-837	173	13	)	)	PUNCT
ijassa-837	173	14	deduced	deduce	VERB
ijassa-837	173	15	from	from	ADP
ijassa-837	173	16	the	the	DET
ijassa-837	173	17	determining	determine	VERB
ijassa-837	173	18	equation	equation	NOUN
ijassa-837	173	19	gives	give	VERB
ijassa-837	173	20	:	:	PUNCT
ijassa-837	173	21	q0(0	q0(0	PROPN
ijassa-837	173	22	)	)	PUNCT
ijassa-837	174	1	=	=	PUNCT
ijassa-837	175	1	p	p	X
ijassa-837	175	2	,	,	PUNCT
ijassa-837	175	3	q1(0	q1(0	PROPN
ijassa-837	175	4	)	)	PUNCT
ijassa-837	175	5	=	=	SYM
ijassa-837	175	6	fp	fp	X
ijassa-837	175	7	,	,	PUNCT
ijassa-837	175	8	q2(0	q2(0	PROPN
ijassa-837	175	9	)	)	PUNCT
ijassa-837	175	10	=	=	SYM
ijassa-837	176	1	f	f	NOUN
ijassa-837	176	2	2p	2p	NOUN
ijassa-837	176	3	.	.	PUNCT
ijassa-837	177	1	these	these	PRON
ijassa-837	177	2	can	can	AUX
ijassa-837	177	3	be	be	AUX
ijassa-837	177	4	written	write	VERB
ijassa-837	177	5	in	in	ADP
ijassa-837	177	6	a	a	DET
ijassa-837	177	7	general	general	ADJ
ijassa-837	177	8	notation	notation	NOUN
ijassa-837	177	9	as	as	ADP
ijassa-837	177	10	qj(t;t	qj(t;t	NOUN
ijassa-837	177	11	)	)	PUNCT
ijassa-837	177	12	=	=	PUNCT
ijassa-837	177	13	{	{	PUNCT
ijassa-837	177	14	q0(t	q0(t	PROPN
ijassa-837	177	15	)	)	PUNCT
ijassa-837	177	16	,	,	PUNCT
ijassa-837	177	17	q1(t	q1(t	PROPN
ijassa-837	177	18	)	)	PUNCT
ijassa-837	177	19	,	,	PUNCT
ijassa-837	177	20	q2(t	q2(t	PROPN
ijassa-837	177	21	)	)	PUNCT
ijassa-837	177	22	,	,	PUNCT
ijassa-837	177	23	.	.	PUNCT
ijassa-837	177	24	.	.	PUNCT
ijassa-837	177	25	.	.	PUNCT
ijassa-837	178	1	,	,	PUNCT
ijassa-837	178	2	qj−1(t	qj−1(t	PROPN
ijassa-837	178	3	)	)	PUNCT
ijassa-837	178	4	fort	fort	NOUN
ijassa-837	178	5	∈	∈	PROPN
ijassa-837	179	1	[	[	X
ijassa-837	179	2	0	0	NUM
ijassa-837	179	3	,	,	PUNCT
ijassa-837	179	4	t	t	X
ijassa-837	179	5	]	]	PUNCT
ijassa-837	179	6	}	}	PUNCT
ijassa-837	179	7	.	.	PUNCT
ijassa-837	180	1	the	the	DET
ijassa-837	180	2	following	follow	VERB
ijassa-837	180	3	lemma	lemma	PROPN
ijassa-837	180	4	is	be	AUX
ijassa-837	180	5	given	give	VERB
ijassa-837	180	6	with	with	ADP
ijassa-837	180	7	respect	respect	NOUN
ijassa-837	180	8	to	to	ADP
ijassa-837	180	9	[	[	X
ijassa-837	180	10	1	1	NUM
ijassa-837	180	11	]	]	PUNCT
ijassa-837	180	12	,	,	PUNCT
ijassa-837	180	13	relating	relate	VERB
ijassa-837	180	14	to	to	ADP
ijassa-837	180	15	the	the	DET
ijassa-837	180	16	controllability	controllability	NOUN
ijassa-837	180	17	of	of	ADP
ijassa-837	180	18	the	the	DET
ijassa-837	180	19	deterministic	deterministic	ADJ
ijassa-837	180	20	system	system	NOUN
ijassa-837	180	21	(	(	PUNCT
ijassa-837	180	22	4.6	4.6	NUM
ijassa-837	180	23	)	)	PUNCT
ijassa-837	180	24	in	in	ADP
ijassa-837	180	25	the	the	DET
ijassa-837	180	26	time	time	NOUN
ijassa-837	180	27	interval	interval	NOUN
ijassa-837	180	28	[	[	X
ijassa-837	180	29	0	0	NUM
ijassa-837	180	30	,	,	PUNCT
ijassa-837	180	31	t	t	X
ijassa-837	180	32	]	]	PUNCT
ijassa-837	180	33	:	:	PUNCT
ijassa-837	180	34	lemma	lemma	PROPN
ijassa-837	180	35	4.1	4.1	NUM
ijassa-837	180	36	:	:	PUNCT
ijassa-837	180	37	the	the	DET
ijassa-837	180	38	following	follow	VERB
ijassa-837	180	39	conditions	condition	NOUN
ijassa-837	180	40	are	be	AUX
ijassa-837	180	41	equivalent	equivalent	ADJ
ijassa-837	180	42	:	:	PUNCT
ijassa-837	180	43	1	1	X
ijassa-837	180	44	.	.	PUNCT
ijassa-837	181	1	the	the	DET
ijassa-837	181	2	deterministic	deterministic	ADJ
ijassa-837	181	3	system	system	NOUN
ijassa-837	181	4	(	(	PUNCT
ijassa-837	181	5	4.6	4.6	NUM
ijassa-837	181	6	)	)	PUNCT
ijassa-837	181	7	is	be	AUX
ijassa-837	181	8	relatively	relatively	ADV
ijassa-837	181	9	controllable	controllable	ADJ
ijassa-837	181	10	on	on	ADP
ijassa-837	181	11	[	[	X
ijassa-837	181	12	0	0	NUM
ijassa-837	181	13	,	,	PUNCT
ijassa-837	181	14	t	t	X
ijassa-837	181	15	]	]	PUNCT
ijassa-837	181	16	,	,	PUNCT
ijassa-837	181	17	2	2	X
ijassa-837	181	18	.	.	PUNCT
ijassa-837	182	1	the	the	DET
ijassa-837	182	2	relative	relative	ADJ
ijassa-837	182	3	controllability	controllability	NOUN
ijassa-837	182	4	matrix	matrix	NOUN
ijassa-837	182	5	b(t	b(t	PROPN
ijassa-837	182	6	)	)	PUNCT
ijassa-837	182	7	is	be	AUX
ijassa-837	182	8	non	non	ADJ
ijassa-837	182	9	-	-	ADJ
ijassa-837	182	10	singular	singular	ADJ
ijassa-837	182	11	,	,	PUNCT
ijassa-837	182	12	3	3	X
ijassa-837	182	13	.	.	NOUN
ijassa-837	182	14	rank	rank	PROPN
ijassa-837	182	15	qj(t;t	qj(t;t	PROPN
ijassa-837	182	16	)	)	PUNCT
ijassa-837	183	1	=	=	PUNCT
ijassa-837	184	1	k.	k.	PROPN
ijassa-837	184	2	hence	hence	ADV
ijassa-837	184	3	,	,	PUNCT
ijassa-837	184	4	the	the	DET
ijassa-837	184	5	following	follow	VERB
ijassa-837	184	6	lemma	lemma	PROPN
ijassa-837	184	7	is	be	AUX
ijassa-837	184	8	formed	form	VERB
ijassa-837	184	9	with	with	ADP
ijassa-837	184	10	respect	respect	NOUN
ijassa-837	184	11	to	to	ADP
ijassa-837	184	12	[	[	X
ijassa-837	184	13	4	4	NUM
ijassa-837	184	14	,	,	PUNCT
ijassa-837	184	15	20	20	NUM
ijassa-837	184	16	,	,	PUNCT
ijassa-837	184	17	21	21	NUM
ijassa-837	184	18	]	]	PUNCT
ijassa-837	184	19	which	which	PRON
ijassa-837	184	20	will	will	AUX
ijassa-837	184	21	be	be	AUX
ijassa-837	184	22	useful	useful	ADJ
ijassa-837	184	23	in	in	ADP
ijassa-837	184	24	the	the	DET
ijassa-837	184	25	proof	proof	NOUN
ijassa-837	184	26	of	of	ADP
ijassa-837	184	27	the	the	DET
ijassa-837	184	28	uncertain	uncertain	ADJ
ijassa-837	184	29	controllability	controllability	NOUN
ijassa-837	184	30	and	and	CCONJ
ijassa-837	184	31	observability	observability	NOUN
ijassa-837	184	32	.	.	PUNCT
ijassa-837	185	1	lemma	lemma	PROPN
ijassa-837	185	2	4.2	4.2	NUM
ijassa-837	185	3	:	:	PUNCT
ijassa-837	185	4	for	for	ADP
ijassa-837	185	5	every	every	DET
ijassa-837	185	6	c	c	PROPN
ijassa-837	185	7	∈	∈	PROPN
ijassa-837	185	8	l2(γ	l2(γ	PROPN
ijassa-837	185	9	,	,	PUNCT
ijassa-837	185	10	l(t),rn	l(t),rn	NOUN
ijassa-837	185	11	)	)	PUNCT
ijassa-837	185	12	,	,	PUNCT
ijassa-837	185	13	∃	∃	PROPN
ijassa-837	185	14	a	a	DET
ijassa-837	185	15	process	process	NOUN
ijassa-837	185	16	q	q	PROPN
ijassa-837	185	17	∈	∈	PROPN
ijassa-837	185	18	ll2	ll2	NOUN
ijassa-837	185	19	,	,	PUNCT
ijassa-837	185	20	rn×n	rn×n	VERB
ijassa-837	185	21	such	such	ADJ
ijassa-837	185	22	that	that	SCONJ
ijassa-837	185	23	the	the	DET
ijassa-837	185	24	controllability	controllability	NOUN
ijassa-837	185	25	operator	operator	NOUN
ijassa-837	185	26	is	be	AUX
ijassa-837	185	27	expressed	express	VERB
ijassa-837	185	28	as	as	ADP
ijassa-837	185	29	:	:	PUNCT
ijassa-837	185	30	g(t)c	g(t)c	PROPN
ijassa-837	185	31	=	=	PUNCT
ijassa-837	185	32	b(t)ec+	b(t)ec+	PROPN
ijassa-837	186	1	∫	∫	PROPN
ijassa-837	186	2	t	t	PROPN
ijassa-837	186	3	0	0	NUM
ijassa-837	186	4	b(t)(s)q(s)dc(s	b(t)(s)q(s)dc(s	PROPN
ijassa-837	186	5	)	)	PUNCT
ijassa-837	186	6	.	.	PUNCT
ijassa-837	187	1	lemma	lemma	PROPN
ijassa-837	187	2	4.3	4.3	NUM
ijassa-837	187	3	:	:	PUNCT
ijassa-837	187	4	the	the	DET
ijassa-837	187	5	uncertain	uncertain	ADJ
ijassa-837	187	6	system	system	NOUN
ijassa-837	187	7	(	(	PUNCT
ijassa-837	187	8	4.5	4.5	NUM
ijassa-837	187	9	)	)	PUNCT
ijassa-837	187	10	is	be	AUX
ijassa-837	187	11	relatively	relatively	ADV
ijassa-837	187	12	controllable	controllable	ADJ
ijassa-837	187	13	on	on	ADP
ijassa-837	187	14	[	[	X
ijassa-837	187	15	0	0	NUM
ijassa-837	187	16	,	,	PUNCT
ijassa-837	187	17	t	t	X
ijassa-837	187	18	]	]	PUNCT
ijassa-837	187	19	if	if	SCONJ
ijassa-837	187	20	and	and	CCONJ
ijassa-837	187	21	only	only	ADV
ijassa-837	187	22	if	if	SCONJ
ijassa-837	187	23	one	one	NUM
ijassa-837	187	24	of	of	ADP
ijassa-837	187	25	the	the	DET
ijassa-837	187	26	following	follow	VERB
ijassa-837	187	27	conditions	condition	NOUN
ijassa-837	187	28	holds	hold	VERB
ijassa-837	187	29	true	true	ADJ
ijassa-837	187	30	:	:	PUNCT
ijassa-837	187	31	1	1	NUM
ijassa-837	187	32	.	.	X
ijassa-837	187	33	e	e	X
ijassa-837	187	34	〈	〈	PROPN
ijassa-837	187	35	g(t)c	g(t)c	PROPN
ijassa-837	187	36	,	,	PUNCT
ijassa-837	187	37	c	c	PROPN
ijassa-837	187	38	〉	〉	NUM
ijassa-837	187	39	≥	≥	NUM
ijassa-837	187	40	γe	γe	ADP
ijassa-837	187	41	‖c‖2	‖c‖2	NOUN
ijassa-837	187	42	for	for	ADP
ijassa-837	187	43	some	some	DET
ijassa-837	187	44	γ	γ	NOUN
ijassa-837	187	45	>	>	X
ijassa-837	187	46	0	0	PUNCT
ijassa-837	187	47	and	and	CCONJ
ijassa-837	187	48	all	all	DET
ijassa-837	187	49	c	c	NOUN
ijassa-837	187	50	∈	∈	PROPN
ijassa-837	187	51	l2(γ	l2(γ	PROPN
ijassa-837	187	52	,	,	PUNCT
ijassa-837	187	53	l(t),rn	l(t),rn	NOUN
ijassa-837	187	54	)	)	PUNCT
ijassa-837	187	55	,	,	PUNCT
ijassa-837	187	56	2	2	X
ijassa-837	187	57	.	.	X
ijassa-837	187	58	r(λ1	r(λ1	NOUN
ijassa-837	187	59	,	,	PUNCT
ijassa-837	187	60	g(t	g(t	PROPN
ijassa-837	187	61	)	)	PUNCT
ijassa-837	187	62	)	)	PUNCT
ijassa-837	187	63	converges	converge	VERB
ijassa-837	187	64	as	as	ADP
ijassa-837	187	65	λ1	λ1	PROPN
ijassa-837	187	66	→	→	SYM
ijassa-837	187	67	0	0	NUM
ijassa-837	188	1	+	+	CCONJ
ijassa-837	188	2	in	in	ADP
ijassa-837	188	3	the	the	DET
ijassa-837	188	4	uniform	uniform	ADJ
ijassa-837	188	5	operator	operator	NOUN
ijassa-837	188	6	topology	topology	NOUN
ijassa-837	188	7	,	,	PUNCT
ijassa-837	188	8	copyright	copyright	NOUN
ijassa-837	188	9	©	©	PROPN
ijassa-837	188	10	2021	2021	NUM
ijassa-837	188	11	assa	assa	NOUN
ijassa-837	188	12	.	.	PUNCT
ijassa-837	189	1	adv	adv	PROPN
ijassa-837	189	2	syst	syst	PROPN
ijassa-837	189	3	sci	sci	PROPN
ijassa-837	189	4	appl	appl	PROPN
ijassa-837	189	5	(	(	PUNCT
ijassa-837	189	6	2021	2021	NUM
ijassa-837	189	7	)	)	PUNCT
ijassa-837	189	8	16	16	NUM
ijassa-837	189	9	t.	t.	NOUN
ijassa-837	189	10	latunde	latunde	NOUN
ijassa-837	189	11	,	,	PUNCT
ijassa-837	189	12	a.a	a.a	PROPN
ijassa-837	189	13	.	.	PROPN
ijassa-837	189	14	ishaq	ishaq	PROPN
ijassa-837	189	15	,	,	PUNCT
ijassa-837	189	16	a.f	a.f	PROPN
ijassa-837	189	17	.	.	PROPN
ijassa-837	189	18	adedotun	adedotun	PROPN
ijassa-837	189	19	,	,	PUNCT
ijassa-837	189	20	j.o	j.o	PROPN
ijassa-837	189	21	.	.	PROPN
ijassa-837	189	22	ajinuhi	ajinuhi	PROPN
ijassa-837	189	23	,	,	PUNCT
ijassa-837	189	24	o.j	o.j	PROPN
ijassa-837	189	25	.	.	PROPN
ijassa-837	189	26	peter	peter	PROPN
ijassa-837	189	27	3	3	PROPN
ijassa-837	189	28	.	.	PUNCT
ijassa-837	190	1	λ1r(λ1	λ1r(λ1	NUM
ijassa-837	190	2	,	,	PUNCT
ijassa-837	190	3	g(t	g(t	PROPN
ijassa-837	190	4	)	)	PUNCT
ijassa-837	190	5	)	)	PUNCT
ijassa-837	190	6	converges	converge	VERB
ijassa-837	190	7	to	to	ADP
ijassa-837	190	8	the	the	DET
ijassa-837	190	9	zero	zero	NUM
ijassa-837	190	10	operator	operator	NOUN
ijassa-837	190	11	as	as	ADP
ijassa-837	190	12	λ1	λ1	PROPN
ijassa-837	190	13	→	→	SYM
ijassa-837	190	14	0	0	NUM
ijassa-837	190	15	+	+	CCONJ
ijassa-837	190	16	in	in	ADP
ijassa-837	190	17	the	the	DET
ijassa-837	190	18	uniform	uniform	ADJ
ijassa-837	190	19	operator	operator	NOUN
ijassa-837	190	20	topology	topology	NOUN
ijassa-837	190	21	,	,	PUNCT
ijassa-837	190	22	4	4	NUM
ijassa-837	190	23	.	.	PUNCT
ijassa-837	190	24	ker(l(t))∗	ker(l(t))∗	NOUN
ijassa-837	191	1	=	=	PUNCT
ijassa-837	191	2	{	{	PUNCT
ijassa-837	191	3	0	0	NUM
ijassa-837	191	4	}	}	PUNCT
ijassa-837	191	5	and	and	CCONJ
ijassa-837	191	6	im(l(t))∗.	im(l(t))∗.	ADV
ijassa-837	191	7	lemma	lemma	PROPN
ijassa-837	191	8	4.4	4.4	NUM
ijassa-837	191	9	:	:	PUNCT
ijassa-837	191	10	the	the	DET
ijassa-837	191	11	uncertain	uncertain	ADJ
ijassa-837	191	12	system	system	NOUN
ijassa-837	191	13	(	(	PUNCT
ijassa-837	191	14	4.5	4.5	NUM
ijassa-837	191	15	)	)	PUNCT
ijassa-837	191	16	is	be	AUX
ijassa-837	191	17	approximately	approximately	ADV
ijassa-837	191	18	controllable	controllable	ADJ
ijassa-837	191	19	on	on	ADP
ijassa-837	191	20	[	[	X
ijassa-837	191	21	0	0	NUM
ijassa-837	191	22	,	,	PUNCT
ijassa-837	191	23	t	t	X
ijassa-837	191	24	]	]	PUNCT
ijassa-837	191	25	if	if	SCONJ
ijassa-837	191	26	and	and	CCONJ
ijassa-837	191	27	only	only	ADV
ijassa-837	191	28	if	if	SCONJ
ijassa-837	191	29	one	one	NUM
ijassa-837	191	30	of	of	ADP
ijassa-837	191	31	the	the	DET
ijassa-837	191	32	following	follow	VERB
ijassa-837	191	33	conditions	condition	NOUN
ijassa-837	191	34	holds	hold	VERB
ijassa-837	191	35	true	true	ADJ
ijassa-837	191	36	:	:	PUNCT
ijassa-837	191	37	1	1	NUM
ijassa-837	191	38	.	.	X
ijassa-837	191	39	g(t	g(t	PROPN
ijassa-837	191	40	)	)	PUNCT
ijassa-837	191	41	>	>	X
ijassa-837	191	42	0	0	NUM
ijassa-837	191	43	,	,	PUNCT
ijassa-837	191	44	2	2	NUM
ijassa-837	191	45	.	.	X
ijassa-837	192	1	λ1r(λ	λ1r(λ	PROPN
ijassa-837	192	2	,	,	PUNCT
ijassa-837	192	3	g(t	g(t	PROPN
ijassa-837	192	4	)	)	PUNCT
ijassa-837	192	5	)	)	PUNCT
ijassa-837	192	6	converges	converge	VERB
ijassa-837	192	7	as	as	ADP
ijassa-837	192	8	λ1	λ1	PROPN
ijassa-837	192	9	→	→	SYM
ijassa-837	192	10	0	0	NUM
ijassa-837	192	11	+	+	CCONJ
ijassa-837	192	12	in	in	ADP
ijassa-837	192	13	the	the	DET
ijassa-837	192	14	strong	strong	ADJ
ijassa-837	192	15	operator	operator	NOUN
ijassa-837	192	16	topology	topology	NOUN
ijassa-837	192	17	,	,	PUNCT
ijassa-837	192	18	3	3	X
ijassa-837	192	19	.	.	X
ijassa-837	193	1	λ1r(λ	λ1r(λ	PROPN
ijassa-837	193	2	,	,	PUNCT
ijassa-837	193	3	g(t	g(t	PROPN
ijassa-837	193	4	)	)	PUNCT
ijassa-837	193	5	)	)	PUNCT
ijassa-837	193	6	converges	converge	VERB
ijassa-837	193	7	to	to	ADP
ijassa-837	193	8	the	the	DET
ijassa-837	193	9	zero	zero	NUM
ijassa-837	193	10	operator	operator	NOUN
ijassa-837	193	11	as	as	ADP
ijassa-837	193	12	λ1	λ1	PROPN
ijassa-837	193	13	→	→	SYM
ijassa-837	193	14	0	0	NUM
ijassa-837	193	15	+	+	CCONJ
ijassa-837	193	16	in	in	ADP
ijassa-837	193	17	the	the	DET
ijassa-837	193	18	weak	weak	ADJ
ijassa-837	193	19	operator	operator	NOUN
ijassa-837	193	20	topology	topology	NOUN
ijassa-837	193	21	,	,	PUNCT
ijassa-837	193	22	4	4	NUM
ijassa-837	193	23	.	.	PUNCT
ijassa-837	193	24	ker(l(t))∗	ker(l(t))∗	NOUN
ijassa-837	194	1	=	=	PUNCT
ijassa-837	194	2	{	{	PUNCT
ijassa-837	194	3	0	0	NUM
ijassa-837	194	4	}	}	PUNCT
ijassa-837	194	5	.	.	PUNCT
ijassa-837	195	1	theorem	theorem	VERB
ijassa-837	195	2	4.1	4.1	NUM
ijassa-837	195	3	:	:	PUNCT
ijassa-837	195	4	the	the	DET
ijassa-837	195	5	following	follow	VERB
ijassa-837	195	6	conditions	condition	NOUN
ijassa-837	195	7	are	be	AUX
ijassa-837	195	8	equivalent	equivalent	ADJ
ijassa-837	195	9	:	:	PUNCT
ijassa-837	195	10	1	1	X
ijassa-837	195	11	.	.	PUNCT
ijassa-837	195	12	the	the	DET
ijassa-837	195	13	deterministic	deterministic	ADJ
ijassa-837	195	14	system	system	NOUN
ijassa-837	195	15	(	(	PUNCT
ijassa-837	195	16	4.6	4.6	NUM
ijassa-837	195	17	)	)	PUNCT
ijassa-837	195	18	is	be	AUX
ijassa-837	195	19	relatively	relatively	ADV
ijassa-837	195	20	controllable	controllable	ADJ
ijassa-837	195	21	on	on	ADP
ijassa-837	195	22	[	[	X
ijassa-837	195	23	0	0	NUM
ijassa-837	195	24	,	,	PUNCT
ijassa-837	195	25	t	t	X
ijassa-837	195	26	]	]	PUNCT
ijassa-837	195	27	,	,	PUNCT
ijassa-837	195	28	2	2	X
ijassa-837	195	29	.	.	PUNCT
ijassa-837	196	1	the	the	DET
ijassa-837	196	2	uncertain	uncertain	ADJ
ijassa-837	196	3	system	system	NOUN
ijassa-837	196	4	(	(	PUNCT
ijassa-837	196	5	4.5	4.5	NUM
ijassa-837	196	6	)	)	PUNCT
ijassa-837	196	7	is	be	AUX
ijassa-837	196	8	relatively	relatively	ADV
ijassa-837	196	9	exactly	exactly	ADV
ijassa-837	196	10	controllable	controllable	ADJ
ijassa-837	196	11	on	on	ADP
ijassa-837	196	12	[	[	X
ijassa-837	196	13	0	0	NUM
ijassa-837	196	14	,	,	PUNCT
ijassa-837	196	15	t	t	X
ijassa-837	196	16	]	]	PUNCT
ijassa-837	196	17	,	,	PUNCT
ijassa-837	196	18	3	3	X
ijassa-837	196	19	.	.	PUNCT
ijassa-837	197	1	the	the	DET
ijassa-837	197	2	uncertain	uncertain	ADJ
ijassa-837	197	3	system	system	NOUN
ijassa-837	197	4	(	(	PUNCT
ijassa-837	197	5	4.5	4.5	NUM
ijassa-837	197	6	)	)	PUNCT
ijassa-837	197	7	is	be	AUX
ijassa-837	197	8	relatively	relatively	ADV
ijassa-837	197	9	approximately	approximately	ADV
ijassa-837	197	10	controllable	controllable	ADJ
ijassa-837	197	11	on	on	ADP
ijassa-837	197	12	[	[	X
ijassa-837	197	13	0	0	NUM
ijassa-837	197	14	,	,	PUNCT
ijassa-837	197	15	t	t	X
ijassa-837	197	16	]	]	PUNCT
ijassa-837	197	17	.	.	PUNCT
ijassa-837	198	1	proof	proof	ADJ
ijassa-837	198	2	condition	condition	NOUN
ijassa-837	198	3	(	(	PUNCT
ijassa-837	198	4	i	i	NOUN
ijassa-837	198	5	)	)	PUNCT
ijassa-837	198	6	implies	imply	VERB
ijassa-837	198	7	condition	condition	NOUN
ijassa-837	198	8	(	(	PUNCT
ijassa-837	198	9	ii	ii	NOUN
ijassa-837	198	10	)	)	PUNCT
ijassa-837	198	11	.	.	PUNCT
ijassa-837	199	1	suppose	suppose	VERB
ijassa-837	199	2	the	the	DET
ijassa-837	199	3	deterministic	deterministic	ADJ
ijassa-837	199	4	system	system	NOUN
ijassa-837	199	5	(	(	PUNCT
ijassa-837	199	6	4.6	4.6	NUM
ijassa-837	199	7	)	)	PUNCT
ijassa-837	199	8	is	be	AUX
ijassa-837	199	9	relatively	relatively	ADV
ijassa-837	199	10	controllable	controllable	ADJ
ijassa-837	199	11	on	on	ADP
ijassa-837	199	12	[	[	X
ijassa-837	199	13	0	0	NUM
ijassa-837	199	14	,	,	PUNCT
ijassa-837	199	15	t	t	X
ijassa-837	199	16	]	]	PUNCT
ijassa-837	199	17	,	,	PUNCT
ijassa-837	199	18	then	then	ADV
ijassa-837	199	19	the	the	DET
ijassa-837	199	20	relative	relative	ADJ
ijassa-837	199	21	controllability	controllability	NOUN
ijassa-837	199	22	matrix	matrix	NOUN
ijassa-837	199	23	b(t)(s	b(t)(s	NOUN
ijassa-837	199	24	)	)	PUNCT
ijassa-837	199	25	is	be	AUX
ijassa-837	199	26	invertible	invertible	ADJ
ijassa-837	199	27	and	and	CCONJ
ijassa-837	199	28	strictly	strictly	ADV
ijassa-837	199	29	positive	positive	ADJ
ijassa-837	199	30	definite	definite	ADJ
ijassa-837	199	31	for	for	ADP
ijassa-837	199	32	all	all	DET
ijassa-837	199	33	s	s	PART
ijassa-837	199	34	∈	∈	NOUN
ijassa-837	200	1	[	[	X
ijassa-837	200	2	0	0	NUM
ijassa-837	200	3	,	,	PUNCT
ijassa-837	200	4	t	t	X
ijassa-837	200	5	]	]	PUNCT
ijassa-837	200	6	.	.	PUNCT
ijassa-837	201	1	hence	hence	ADV
ijassa-837	201	2	,	,	PUNCT
ijassa-837	201	3	for	for	ADP
ijassa-837	201	4	some	some	DET
ijassa-837	201	5	γ	γ	NOUN
ijassa-837	201	6	>	>	X
ijassa-837	201	7	0	0	NUM
ijassa-837	201	8	,	,	PUNCT
ijassa-837	201	9	〈	〈	PROPN
ijassa-837	201	10	b(t)(s)x	b(t)(s)x	X
ijassa-837	201	11	,	,	PUNCT
ijassa-837	201	12	x	x	PROPN
ijassa-837	201	13	〉	〉	NUM
ijassa-837	201	14	≥	≥	NUM
ijassa-837	201	15	γ	γ	PROPN
ijassa-837	201	16	‖x‖2	‖x‖2	VERB
ijassa-837	201	17	for	for	ADP
ijassa-837	201	18	all	all	DET
ijassa-837	201	19	s	s	PART
ijassa-837	201	20	∈	∈	NOUN
ijassa-837	202	1	[	[	X
ijassa-837	202	2	0	0	NUM
ijassa-837	202	3	,	,	PUNCT
ijassa-837	202	4	t	t	NOUN
ijassa-837	202	5	]	]	PUNCT
ijassa-837	202	6	and	and	CCONJ
ijassa-837	202	7	x	x	PROPN
ijassa-837	202	8	∈	∈	PROPN
ijassa-837	202	9	rn	rn	PROPN
ijassa-837	202	10	.	.	PUNCT
ijassa-837	203	1	in	in	ADP
ijassa-837	203	2	order	order	NOUN
ijassa-837	203	3	to	to	PART
ijassa-837	203	4	prove	prove	VERB
ijassa-837	203	5	the	the	DET
ijassa-837	203	6	relative	relative	ADJ
ijassa-837	203	7	exact	exact	ADJ
ijassa-837	203	8	controllability	controllability	NOUN
ijassa-837	203	9	of	of	ADP
ijassa-837	203	10	the	the	DET
ijassa-837	203	11	uncertain	uncertain	ADJ
ijassa-837	203	12	system	system	NOUN
ijassa-837	203	13	(	(	PUNCT
ijassa-837	203	14	4.5	4.5	NUM
ijassa-837	203	15	)	)	PUNCT
ijassa-837	203	16	on	on	ADP
ijassa-837	203	17	[	[	X
ijassa-837	203	18	0	0	NUM
ijassa-837	203	19	,	,	PUNCT
ijassa-837	203	20	t	t	X
ijassa-837	203	21	]	]	PUNCT
ijassa-837	203	22	,	,	PUNCT
ijassa-837	203	23	the	the	DET
ijassa-837	203	24	relationship	relationship	NOUN
ijassa-837	203	25	between	between	ADP
ijassa-837	203	26	the	the	DET
ijassa-837	203	27	controllability	controllability	NOUN
ijassa-837	203	28	operator	operator	NOUN
ijassa-837	203	29	g(t	g(t	PROPN
ijassa-837	203	30	)	)	PUNCT
ijassa-837	203	31	and	and	CCONJ
ijassa-837	203	32	the	the	DET
ijassa-837	203	33	controllability	controllability	NOUN
ijassa-837	203	34	matrix	matrix	NOUN
ijassa-837	203	35	b(t	b(t	PROPN
ijassa-837	203	36	)	)	PUNCT
ijassa-837	203	37	given	give	VERB
ijassa-837	203	38	in	in	ADP
ijassa-837	203	39	lemma	lemma	PROPN
ijassa-837	203	40	4.2	4.2	NUM
ijassa-837	203	41	as	as	ADP
ijassa-837	203	42	e	e	PROPN
ijassa-837	203	43	〈	〈	PROPN
ijassa-837	203	44	g(t)c	g(t)c	PROPN
ijassa-837	203	45	,	,	PUNCT
ijassa-837	203	46	c	c	PROPN
ijassa-837	203	47	〉	〉	NOUN
ijassa-837	203	48	to	to	PART
ijassa-837	203	49	be	be	AUX
ijassa-837	203	50	expressed	express	VERB
ijassa-837	203	51	in	in	ADP
ijassa-837	203	52	terms	term	NOUN
ijassa-837	203	53	of	of	ADP
ijassa-837	203	54	〈	〈	PROPN
ijassa-837	203	55	g(t)ec	g(t)ec	PROPN
ijassa-837	203	56	,	,	PUNCT
ijassa-837	203	57	ec	ec	PROPN
ijassa-837	203	58	〉	〉	PROPN
ijassa-837	203	59	.	.	PUNCT
ijassa-837	204	1	firstly	firstly	ADV
ijassa-837	204	2	,	,	PUNCT
ijassa-837	204	3	e	e	PROPN
ijassa-837	204	4	〈	〈	PROPN
ijassa-837	204	5	g(t)c	g(t)c	PROPN
ijassa-837	204	6	,	,	PUNCT
ijassa-837	204	7	c	c	NOUN
ijassa-837	204	8	〉	〉	NUM
ijassa-837	204	9	=	=	SYM
ijassa-837	204	10	e	e	PROPN
ijassa-837	204	11	〈	〈	PROPN
ijassa-837	204	12	b(t)ec+	b(t)ec+	PROPN
ijassa-837	204	13	∫	∫	PROPN
ijassa-837	204	14	t	t	PROPN
ijassa-837	204	15	0	0	NUM
ijassa-837	205	1	b(t)(s)q(s)dc(s),ec+	b(t)(s)q(s)dc(s),ec+	PROPN
ijassa-837	205	2	∫	∫	PROPN
ijassa-837	205	3	t	t	PROPN
ijassa-837	205	4	0	0	NUM
ijassa-837	205	5	q(s)dc(s	q(s)dc(	NOUN
ijassa-837	205	6	)	)	PUNCT
ijassa-837	205	7	〉	〉	NOUN
ijassa-837	205	8	=	=	SYM
ijassa-837	205	9	〈	〈	PROPN
ijassa-837	205	10	b(t	b(t	NOUN
ijassa-837	205	11	)	)	PUNCT
ijassa-837	205	12	,	,	PUNCT
ijassa-837	205	13	ec	ec	PROPN
ijassa-837	205	14	,	,	PUNCT
ijassa-837	205	15	ec〉+	ec〉+	PROPN
ijassa-837	205	16	e	e	PROPN
ijassa-837	205	17	∫	∫	PROPN
ijassa-837	205	18	t	t	PROPN
ijassa-837	205	19	0	0	NUM
ijassa-837	206	1	〈	〈	PROPN
ijassa-837	206	2	b(t)(s)q(s	b(t)(s)q(s	PROPN
ijassa-837	206	3	)	)	PUNCT
ijassa-837	206	4	,	,	PUNCT
ijassa-837	206	5	q(s	q(s	NOUN
ijassa-837	206	6	)	)	PUNCT
ijassa-837	206	7	〉	〉	PROPN
ijassa-837	206	8	ds	ds	ADJ
ijassa-837	206	9	≥	≥	NOUN
ijassa-837	206	10	γ	γ	X
ijassa-837	206	11	(	(	PUNCT
ijassa-837	206	12	‖ec‖2	‖ec‖2	PROPN
ijassa-837	206	13	+	+	NUM
ijassa-837	206	14	e	e	PROPN
ijassa-837	206	15	∫	∫	PROPN
ijassa-837	206	16	t	t	PROPN
ijassa-837	206	17	0	0	NUM
ijassa-837	206	18	‖q(s)‖2	‖q(s)‖2	PROPN
ijassa-837	206	19	ds	ds	NOUN
ijassa-837	206	20	)	)	PUNCT
ijassa-837	206	21	=	=	SYM
ijassa-837	207	1	γe	γe	NUM
ijassa-837	207	2	‖c‖2	‖c‖2	NOUN
ijassa-837	207	3	.	.	PUNCT
ijassa-837	208	1	thus	thus	ADV
ijassa-837	208	2	,	,	PUNCT
ijassa-837	208	3	in	in	ADP
ijassa-837	208	4	the	the	DET
ijassa-837	208	5	view	view	NOUN
ijassa-837	208	6	of	of	ADP
ijassa-837	208	7	the	the	DET
ijassa-837	208	8	controllability	controllability	NOUN
ijassa-837	208	9	operator	operator	NOUN
ijassa-837	208	10	,	,	PUNCT
ijassa-837	208	11	g(t	g(t	PROPN
ijassa-837	208	12	)	)	PUNCT
ijassa-837	208	13	≥	≥	NUM
ijassa-837	208	14	γi	γi	NOUN
ijassa-837	208	15	,	,	PUNCT
ijassa-837	208	16	which	which	PRON
ijassa-837	208	17	implies	imply	VERB
ijassa-837	208	18	that	that	SCONJ
ijassa-837	208	19	the	the	DET
ijassa-837	208	20	relative	relative	ADJ
ijassa-837	208	21	controllability	controllability	NOUN
ijassa-837	208	22	operator	operator	NOUN
ijassa-837	208	23	g(t	g(t	PROPN
ijassa-837	208	24	)	)	PUNCT
ijassa-837	208	25	is	be	AUX
ijassa-837	208	26	strictly	strictly	ADV
ijassa-837	208	27	positive	positive	ADJ
ijassa-837	208	28	definite	definite	ADJ
ijassa-837	208	29	and	and	CCONJ
ijassa-837	208	30	,	,	PUNCT
ijassa-837	208	31	the	the	DET
ijassa-837	208	32	inverse	inverse	NOUN
ijassa-837	208	33	operatorg(t)−1	operatorg(t)−1	NOUN
ijassa-837	208	34	is	be	AUX
ijassa-837	208	35	bounded	bound	VERB
ijassa-837	208	36	,	,	PUNCT
ijassa-837	208	37	[	[	X
ijassa-837	208	38	1	1	NUM
ijassa-837	208	39	]	]	PUNCT
ijassa-837	208	40	.	.	PUNCT
ijassa-837	209	1	hence	hence	ADV
ijassa-837	209	2	,	,	PUNCT
ijassa-837	209	3	the	the	DET
ijassa-837	209	4	uncertain	uncertain	ADJ
ijassa-837	209	5	relative	relative	ADJ
ijassa-837	209	6	exact	exact	ADJ
ijassa-837	209	7	controllability	controllability	NOUN
ijassa-837	209	8	of	of	ADP
ijassa-837	209	9	uncertain	uncertain	ADJ
ijassa-837	209	10	dynamic	dynamic	ADJ
ijassa-837	209	11	system	system	NOUN
ijassa-837	209	12	(	(	PUNCT
ijassa-837	209	13	4.5	4.5	NUM
ijassa-837	209	14	)	)	PUNCT
ijassa-837	209	15	on	on	ADP
ijassa-837	209	16	[	[	X
ijassa-837	209	17	0	0	NUM
ijassa-837	209	18	,	,	PUNCT
ijassa-837	209	19	t	t	PROPN
ijassa-837	209	20	]	]	PUNCT
ijassa-837	209	21	is	be	AUX
ijassa-837	209	22	proved	prove	VERB
ijassa-837	209	23	from	from	ADP
ijassa-837	209	24	the	the	DET
ijassa-837	209	25	relative	relative	ADJ
ijassa-837	209	26	controllability	controllability	NOUN
ijassa-837	209	27	of	of	ADP
ijassa-837	209	28	deterministic	deterministic	ADJ
ijassa-837	209	29	system	system	NOUN
ijassa-837	209	30	(	(	PUNCT
ijassa-837	209	31	4.6	4.6	NUM
ijassa-837	209	32	)	)	PUNCT
ijassa-837	209	33	on	on	ADP
ijassa-837	209	34	[	[	X
ijassa-837	209	35	0	0	NUM
ijassa-837	209	36	,	,	PUNCT
ijassa-837	209	37	t	t	NOUN
ijassa-837	209	38	]	]	PUNCT
ijassa-837	209	39	.	.	PUNCT
ijassa-837	210	1	condition	condition	NOUN
ijassa-837	210	2	(	(	PUNCT
ijassa-837	210	3	ii	ii	NOUN
ijassa-837	210	4	)	)	PUNCT
ijassa-837	210	5	implies	imply	VERB
ijassa-837	210	6	condition	condition	NOUN
ijassa-837	210	7	(	(	PUNCT
ijassa-837	210	8	iii	iii	NOUN
ijassa-837	210	9	)	)	PUNCT
ijassa-837	210	10	.	.	PUNCT
ijassa-837	211	1	since	since	SCONJ
ijassa-837	211	2	the	the	DET
ijassa-837	211	3	state	state	NOUN
ijassa-837	211	4	space	space	NOUN
ijassa-837	211	5	for	for	ADP
ijassa-837	211	6	the	the	DET
ijassa-837	211	7	uncertain	uncertain	ADJ
ijassa-837	211	8	dynamic	dynamic	ADJ
ijassa-837	211	9	system	system	NOUN
ijassa-837	211	10	(	(	PUNCT
ijassa-837	211	11	4.5	4.5	NUM
ijassa-837	211	12	)	)	PUNCT
ijassa-837	211	13	is	be	AUX
ijassa-837	211	14	finite	finite	ADJ
ijassa-837	211	15	-	-	ADJ
ijassa-837	211	16	dimensional	dimensional	ADJ
ijassa-837	211	17	,	,	PUNCT
ijassa-837	211	18	which	which	PRON
ijassa-837	211	19	implies	imply	VERB
ijassa-837	211	20	that	that	SCONJ
ijassa-837	211	21	the	the	DET
ijassa-837	211	22	exact	exact	ADJ
ijassa-837	211	23	and	and	CCONJ
ijassa-837	211	24	approximate	approximate	ADJ
ijassa-837	211	25	controllability	controllability	NOUN
ijassa-837	211	26	coincide	coincide	NOUN
ijassa-837	211	27	;	;	PUNCT
ijassa-837	211	28	see	see	VERB
ijassa-837	211	29	[	[	X
ijassa-837	211	30	1	1	NUM
ijassa-837	211	31	]	]	PUNCT
ijassa-837	211	32	.	.	PUNCT
ijassa-837	212	1	hence	hence	ADV
ijassa-837	212	2	,	,	PUNCT
ijassa-837	212	3	it	it	PRON
ijassa-837	212	4	is	be	AUX
ijassa-837	212	5	easy	easy	ADJ
ijassa-837	212	6	to	to	PART
ijassa-837	212	7	conclude	conclude	VERB
ijassa-837	212	8	that	that	SCONJ
ijassa-837	212	9	the	the	DET
ijassa-837	212	10	uncertain	uncertain	ADJ
ijassa-837	212	11	system	system	NOUN
ijassa-837	212	12	(	(	PUNCT
ijassa-837	212	13	4.5	4.5	NUM
ijassa-837	212	14	)	)	PUNCT
ijassa-837	212	15	is	be	AUX
ijassa-837	212	16	relatively	relatively	ADV
ijassa-837	212	17	approximately	approximately	ADV
ijassa-837	212	18	controllable	controllable	ADJ
ijassa-837	212	19	on	on	ADP
ijassa-837	212	20	[	[	X
ijassa-837	212	21	0	0	NUM
ijassa-837	212	22	,	,	PUNCT
ijassa-837	212	23	t	t	X
ijassa-837	212	24	]	]	PUNCT
ijassa-837	212	25	.	.	PUNCT
ijassa-837	213	1	condition	condition	NOUN
ijassa-837	213	2	(	(	PUNCT
ijassa-837	213	3	iii	iii	NOUN
ijassa-837	213	4	)	)	PUNCT
ijassa-837	213	5	implies	imply	VERB
ijassa-837	213	6	condition	condition	NOUN
ijassa-837	213	7	(	(	PUNCT
ijassa-837	213	8	i	i	NOUN
ijassa-837	213	9	)	)	PUNCT
ijassa-837	213	10	.	.	PUNCT
ijassa-837	214	1	suppose	suppose	VERB
ijassa-837	214	2	the	the	DET
ijassa-837	214	3	uncertain	uncertain	ADJ
ijassa-837	214	4	dynamic	dynamic	ADJ
ijassa-837	214	5	system	system	NOUN
ijassa-837	214	6	(	(	PUNCT
ijassa-837	214	7	4.5	4.5	NUM
ijassa-837	214	8	)	)	PUNCT
ijassa-837	214	9	is	be	AUX
ijassa-837	214	10	uncertainly	uncertainly	ADV
ijassa-837	214	11	relatively	relatively	ADV
ijassa-837	214	12	approximately	approximately	ADV
ijassa-837	214	13	copyright	copyright	NOUN
ijassa-837	214	14	©	©	PROPN
ijassa-837	214	15	2021	2021	NUM
ijassa-837	214	16	assa	assa	NOUN
ijassa-837	214	17	.	.	PUNCT
ijassa-837	215	1	adv	adv	PROPN
ijassa-837	215	2	syst	syst	PROPN
ijassa-837	215	3	sci	sci	PROPN
ijassa-837	215	4	appl	appl	PROPN
ijassa-837	215	5	(	(	PUNCT
ijassa-837	215	6	2021	2021	NUM
ijassa-837	215	7	)	)	PUNCT
ijassa-837	215	8	uncertain	uncertain	ADJ
ijassa-837	215	9	controllability	controllability	NOUN
ijassa-837	215	10	and	and	CCONJ
ijassa-837	215	11	observability	observability	NOUN
ijassa-837	215	12	of	of	ADP
ijassa-837	215	13	an	an	DET
ijassa-837	215	14	optimal	optimal	ADJ
ijassa-837	215	15	control	control	NOUN
ijassa-837	215	16	model	model	NOUN
ijassa-837	215	17	17	17	NUM
ijassa-837	215	18	controllable	controllable	ADJ
ijassa-837	215	19	on	on	ADP
ijassa-837	215	20	[	[	X
ijassa-837	215	21	0	0	NUM
ijassa-837	215	22	,	,	PUNCT
ijassa-837	215	23	t	t	NOUN
ijassa-837	215	24	]	]	PUNCT
ijassa-837	215	25	and	and	CCONJ
ijassa-837	215	26	its	its	PRON
ijassa-837	215	27	controllability	controllability	NOUN
ijassa-837	215	28	operator	operator	NOUN
ijassa-837	215	29	is	be	AUX
ijassa-837	215	30	positive	positive	ADJ
ijassa-837	215	31	definite	definite	ADJ
ijassa-837	215	32	,	,	PUNCT
ijassa-837	215	33	that	that	ADV
ijassa-837	215	34	is	is	ADV
ijassa-837	215	35	,	,	PUNCT
ijassa-837	215	36	g(t	g(t	PROPN
ijassa-837	215	37	)	)	PUNCT
ijassa-837	215	38	>	>	X
ijassa-837	215	39	0	0	NUM
ijassa-837	215	40	,	,	PUNCT
ijassa-837	215	41	then	then	ADV
ijassa-837	215	42	applying	apply	VERB
ijassa-837	215	43	the	the	DET
ijassa-837	215	44	resolvent	resolvent	ADJ
ijassa-837	215	45	operator	operator	NOUN
ijassa-837	215	46	λ1r(λ1	λ1r(λ1	PROPN
ijassa-837	215	47	,	,	PUNCT
ijassa-837	215	48	g(t	g(t	PROPN
ijassa-837	215	49	)	)	PUNCT
ijassa-837	215	50	)	)	PUNCT
ijassa-837	215	51	,	,	PUNCT
ijassa-837	215	52	where	where	SCONJ
ijassa-837	215	53	λ	λ	X
ijassa-837	215	54	>	>	X
ijassa-837	215	55	0	0	NUM
ijassa-837	215	56	,	,	PUNCT
ijassa-837	215	57	[	[	X
ijassa-837	215	58	20	20	NUM
ijassa-837	215	59	]	]	PUNCT
ijassa-837	215	60	,	,	PUNCT
ijassa-837	215	61	gives	give	VERB
ijassa-837	215	62	e	e	PROPN
ijassa-837	215	63	‖λ1r(λ1	‖λ1r(λ1	NOUN
ijassa-837	215	64	,	,	PUNCT
ijassa-837	215	65	g(t))c‖2	g(t))c‖2	PROPN
ijassa-837	215	66	→	→	SYM
ijassa-837	215	67	0	0	NUM
ijassa-837	215	68	.	.	PUNCT
ijassa-837	216	1	this	this	PRON
ijassa-837	216	2	implies	imply	VERB
ijassa-837	216	3	e	e	PROPN
ijassa-837	216	4	‖λ1r(λ1	‖λ1r(λ1	NOUN
ijassa-837	216	5	,	,	PUNCT
ijassa-837	216	6	g(t))c‖2	g(t))c‖2	PROPN
ijassa-837	216	7	=	=	SYM
ijassa-837	216	8	‖λ1r(λ1	‖λ1r(λ1	NOUN
ijassa-837	216	9	,	,	PUNCT
ijassa-837	216	10	b(t))ec‖2	b(t))ec‖2	VERB
ijassa-837	216	11	+	+	CCONJ
ijassa-837	216	12	e	e	PROPN
ijassa-837	216	13	∫	∫	PROPN
ijassa-837	216	14	t	t	PROPN
ijassa-837	216	15	0	0	NUM
ijassa-837	216	16	‖λ1r(λ1	‖λ1r(λ1	NOUN
ijassa-837	216	17	,	,	PUNCT
ijassa-837	216	18	b(t)(s))q(s)‖2	b(t)(s))q(s)‖2	PRON
ijassa-837	216	19	ds→	ds→	VERB
ijassa-837	216	20	0	0	X
ijassa-837	216	21	.	.	PUNCT
ijassa-837	217	1	therefore	therefore	ADV
ijassa-837	217	2	,	,	PUNCT
ijassa-837	217	3	e	e	PROPN
ijassa-837	217	4	∫	∫	PROPN
ijassa-837	217	5	t	t	PROPN
ijassa-837	217	6	0	0	NUM
ijassa-837	217	7	‖λ1r(λ1	‖λ1r(λ1	NOUN
ijassa-837	217	8	,	,	PUNCT
ijassa-837	217	9	b(t)(s))q(s)‖2	b(t)(s))q(s)‖2	PRON
ijassa-837	217	10	ds→	ds→	VERB
ijassa-837	217	11	0	0	NUM
ijassa-837	217	12	for	for	ADP
ijassa-837	217	13	all	all	DET
ijassa-837	217	14	q(s	q(s	NOUN
ijassa-837	217	15	)	)	PUNCT
ijassa-837	217	16	∈	∈	NOUN
ijassa-837	217	17	ll2	ll2	NOUN
ijassa-837	218	1	[	[	X
ijassa-837	218	2	0	0	NUM
ijassa-837	218	3	,	,	PUNCT
ijassa-837	218	4	t	t	X
ijassa-837	218	5	]	]	X
ijassa-837	218	6	,	,	PUNCT
ijassa-837	218	7	rn×n	rn×n	ADJ
ijassa-837	218	8	,	,	PUNCT
ijassa-837	218	9	and	and	CCONJ
ijassa-837	218	10	consequently	consequently	ADV
ijassa-837	218	11	there	there	PRON
ijassa-837	218	12	exists	exist	VERB
ijassa-837	218	13	a	a	DET
ijassa-837	218	14	subsequence	subsequence	NOUN
ijassa-837	218	15	λn	λn	ADP
ijassa-837	218	16	such	such	ADJ
ijassa-837	218	17	that	that	PRON
ijassa-837	218	18	for	for	ADP
ijassa-837	218	19	every	every	DET
ijassa-837	218	20	c	c	PROPN
ijassa-837	218	21	∈	∈	PROPN
ijassa-837	218	22	l2(γ	l2(γ	PROPN
ijassa-837	218	23	,	,	PUNCT
ijassa-837	218	24	l(t),rn	l(t),rn	NOUN
ijassa-837	218	25	)	)	PUNCT
ijassa-837	218	26	we	we	PRON
ijassa-837	218	27	have	have	VERB
ijassa-837	218	28	‖λnr(λk	‖λnr(λk	PROPN
ijassa-837	218	29	,	,	PUNCT
ijassa-837	218	30	b(t)(s))c‖	b(t)(s))c‖	PROPN
ijassa-837	218	31	→	→	SYM
ijassa-837	218	32	0	0	NUM
ijassa-837	218	33	almost	almost	ADV
ijassa-837	218	34	everywhere	everywhere	ADV
ijassa-837	218	35	on	on	ADP
ijassa-837	218	36	[	[	X
ijassa-837	218	37	0	0	NUM
ijassa-837	218	38	,	,	PUNCT
ijassa-837	218	39	t	t	X
ijassa-837	218	40	]	]	PUNCT
ijassa-837	218	41	.	.	PUNCT
ijassa-837	219	1	thus	thus	ADV
ijassa-837	219	2	,	,	PUNCT
ijassa-837	219	3	the	the	DET
ijassa-837	219	4	property	property	NOUN
ijassa-837	219	5	holds	hold	VERB
ijassa-837	219	6	for	for	ADP
ijassa-837	219	7	all	all	PRON
ijassa-837	219	8	0	0	NUM
ijassa-837	219	9	≤	≤	NUM
ijassa-837	219	10	s	s	PART
ijassa-837	219	11	<	<	X
ijassa-837	219	12	t	t	NOUN
ijassa-837	219	13	because	because	SCONJ
ijassa-837	219	14	of	of	ADP
ijassa-837	219	15	the	the	DET
ijassa-837	219	16	continuity	continuity	NOUN
ijassa-837	219	17	of	of	ADP
ijassa-837	219	18	r(λ	r(λ	PROPN
ijassa-837	219	19	,	,	PUNCT
ijassa-837	219	20	b(t)(s	b(t)(s	NUM
ijassa-837	219	21	)	)	PUNCT
ijassa-837	219	22	)	)	PUNCT
ijassa-837	219	23	.	.	PUNCT
ijassa-837	220	1	this	this	PRON
ijassa-837	220	2	implies	imply	VERB
ijassa-837	220	3	that	that	SCONJ
ijassa-837	220	4	the	the	DET
ijassa-837	220	5	deterministic	deterministic	ADJ
ijassa-837	220	6	system	system	NOUN
ijassa-837	220	7	(	(	PUNCT
ijassa-837	220	8	4.6	4.6	NUM
ijassa-837	220	9	)	)	PUNCT
ijassa-837	220	10	is	be	AUX
ijassa-837	220	11	relatively	relatively	ADV
ijassa-837	220	12	approximately	approximately	ADV
ijassa-837	220	13	controllable	controllable	ADJ
ijassa-837	220	14	on	on	ADP
ijassa-837	220	15	[	[	X
ijassa-837	220	16	0	0	NUM
ijassa-837	220	17	,	,	PUNCT
ijassa-837	220	18	t	t	X
ijassa-837	220	19	]	]	PUNCT
ijassa-837	220	20	.	.	PUNCT
ijassa-837	221	1	however	however	ADV
ijassa-837	221	2	,	,	PUNCT
ijassa-837	221	3	considering	consider	VERB
ijassa-837	221	4	the	the	DET
ijassa-837	221	5	state	state	NOUN
ijassa-837	221	6	space	space	NOUN
ijassa-837	221	7	for	for	ADP
ijassa-837	221	8	the	the	DET
ijassa-837	221	9	deterministic	deterministic	ADJ
ijassa-837	221	10	system	system	NOUN
ijassa-837	221	11	(	(	PUNCT
ijassa-837	221	12	4.6	4.6	NUM
ijassa-837	221	13	)	)	PUNCT
ijassa-837	221	14	is	be	AUX
ijassa-837	221	15	finitedimensional	finitedimensional	ADJ
ijassa-837	221	16	,	,	PUNCT
ijassa-837	221	17	that	that	ADV
ijassa-837	221	18	is	be	AUX
ijassa-837	221	19	,	,	PUNCT
ijassa-837	221	20	exact	exact	ADJ
ijassa-837	221	21	and	and	CCONJ
ijassa-837	221	22	approximate	approximate	ADJ
ijassa-837	221	23	controllabilities	controllabilitie	NOUN
ijassa-837	221	24	coincides	coincide	VERB
ijassa-837	221	25	,	,	PUNCT
ijassa-837	221	26	[	[	X
ijassa-837	221	27	1	1	NUM
ijassa-837	221	28	]	]	PUNCT
ijassa-837	221	29	.	.	PUNCT
ijassa-837	222	1	therefore	therefore	ADV
ijassa-837	222	2	,	,	PUNCT
ijassa-837	222	3	it	it	PRON
ijassa-837	222	4	is	be	AUX
ijassa-837	222	5	concluded	conclude	VERB
ijassa-837	222	6	that	that	SCONJ
ijassa-837	222	7	the	the	DET
ijassa-837	222	8	deterministic	deterministic	ADJ
ijassa-837	222	9	system	system	NOUN
ijassa-837	222	10	(	(	PUNCT
ijassa-837	222	11	4.6	4.6	NUM
ijassa-837	222	12	)	)	PUNCT
ijassa-837	222	13	is	be	AUX
ijassa-837	222	14	relatively	relatively	ADV
ijassa-837	222	15	controllable	controllable	ADJ
ijassa-837	222	16	on	on	ADP
ijassa-837	222	17	[	[	X
ijassa-837	222	18	0	0	NUM
ijassa-837	222	19	,	,	PUNCT
ijassa-837	222	20	t	t	X
ijassa-837	222	21	]	]	PUNCT
ijassa-837	222	22	.	.	PUNCT
ijassa-837	223	1	4.2	4.2	NUM
ijassa-837	223	2	.	.	PUNCT
ijassa-837	223	3	observability	observability	NOUN
ijassa-837	223	4	here	here	ADV
ijassa-837	223	5	,	,	PUNCT
ijassa-837	223	6	the	the	DET
ijassa-837	223	7	dual	dual	ADJ
ijassa-837	223	8	concepts	concept	NOUN
ijassa-837	223	9	of	of	ADP
ijassa-837	223	10	observability	observability	NOUN
ijassa-837	223	11	for	for	ADP
ijassa-837	223	12	the	the	DET
ijassa-837	223	13	uncertain	uncertain	ADJ
ijassa-837	223	14	dynamic	dynamic	ADJ
ijassa-837	223	15	system	system	NOUN
ijassa-837	223	16	(	(	PUNCT
ijassa-837	223	17	4.5	4.5	NUM
ijassa-837	223	18	)	)	PUNCT
ijassa-837	223	19	are	be	AUX
ijassa-837	223	20	treated	treat	VERB
ijassa-837	223	21	.	.	PUNCT
ijassa-837	224	1	suppose	suppose	VERB
ijassa-837	224	2	f	f	PROPN
ijassa-837	224	3	and	and	CCONJ
ijassa-837	224	4	j	j	PROPN
ijassa-837	224	5	generate	generate	VERB
ijassa-837	224	6	c0	c0	PROPN
ijassa-837	224	7	-	-	PUNCT
ijassa-837	224	8	semigroup	semigroup	NOUN
ijassa-837	224	9	s1	s1	NOUN
ijassa-837	224	10	and	and	CCONJ
ijassa-837	224	11	s2	s2	NOUN
ijassa-837	224	12	on	on	ADP
ijassa-837	224	13	the	the	DET
ijassa-837	224	14	hilbert	hilbert	PROPN
ijassa-837	224	15	space	space	PROPN
ijassa-837	224	16	l2(γ	l2(γ	PROPN
ijassa-837	224	17	,	,	PUNCT
ijassa-837	224	18	l(t),rn	l(t),rn	NOUN
ijassa-837	224	19	)	)	PUNCT
ijassa-837	224	20	,	,	PUNCT
ijassa-837	224	21	that	that	ADV
ijassa-837	224	22	is	is	ADV
ijassa-837	224	23	,	,	PUNCT
ijassa-837	224	24	f	f	PROPN
ijassa-837	224	25	and	and	CCONJ
ijassa-837	224	26	j	j	PROPN
ijassa-837	224	27	generate	generate	VERB
ijassa-837	224	28	a	a	DET
ijassa-837	224	29	continuous	continuous	ADJ
ijassa-837	224	30	representation	representation	NOUN
ijassa-837	224	31	of	of	ADP
ijassa-837	224	32	semigroup	semigroup	PROPN
ijassa-837	224	33	s.	s.	PROPN
ijassa-837	224	34	then	then	ADV
ijassa-837	224	35	the	the	DET
ijassa-837	224	36	dual	dual	ADJ
ijassa-837	224	37	of	of	ADP
ijassa-837	224	38	the	the	DET
ijassa-837	224	39	uncertain	uncertain	ADJ
ijassa-837	224	40	system	system	NOUN
ijassa-837	224	41	(	(	PUNCT
ijassa-837	224	42	4.5	4.5	NUM
ijassa-837	224	43	)	)	PUNCT
ijassa-837	224	44	is	be	AUX
ijassa-837	224	45	:	:	PUNCT
ijassa-837	224	46	dx(t	dx(t	X
ijassa-837	224	47	)	)	PUNCT
ijassa-837	224	48	=	=	PUNCT
ijassa-837	225	1	[	[	X
ijassa-837	225	2	f	f	X
ijassa-837	225	3	∗	∗	X
ijassa-837	225	4	+	+	X
ijassa-837	225	5	j∗	j∗	PROPN
ijassa-837	226	1	+	+	PROPN
ijassa-837	227	1	w	w	NOUN
ijassa-837	227	2	∗	∗	NOUN
ijassa-837	227	3	1	1	NUM
ijassa-837	228	1	+	+	NOUN
ijassa-837	228	2	w	w	NOUN
ijassa-837	228	3	∗	∗	NOUN
ijassa-837	228	4	2	2	NUM
ijassa-837	228	5	]	]	PUNCT
ijassa-837	228	6	x(t)dt+	x(t)dt+	PROPN
ijassa-837	228	7	uqx(t)dc(t	uqx(t)dc(t	NOUN
ijassa-837	228	8	)	)	PUNCT
ijassa-837	228	9	.	.	PUNCT
ijassa-837	229	1	thus	thus	ADV
ijassa-837	229	2	,	,	PUNCT
ijassa-837	229	3	the	the	DET
ijassa-837	229	4	following	follow	VERB
ijassa-837	229	5	concepts	concept	NOUN
ijassa-837	229	6	are	be	AUX
ijassa-837	229	7	described	describe	VERB
ijassa-837	229	8	:	:	PUNCT
ijassa-837	229	9	•	•	ADP
ijassa-837	229	10	the	the	DET
ijassa-837	229	11	observability	observability	NOUN
ijassa-837	229	12	map	map	NOUN
ijassa-837	229	13	of	of	ADP
ijassa-837	229	14	the	the	DET
ijassa-837	229	15	uncertain	uncertain	ADJ
ijassa-837	229	16	system	system	NOUN
ijassa-837	229	17	(	(	PUNCT
ijassa-837	229	18	4.5	4.5	NUM
ijassa-837	229	19	)	)	PUNCT
ijassa-837	229	20	on	on	ADP
ijassa-837	229	21	[	[	X
ijassa-837	229	22	0	0	NUM
ijassa-837	229	23	,	,	PUNCT
ijassa-837	229	24	t	t	PROPN
ijassa-837	229	25	]	]	PUNCT
ijassa-837	229	26	is	be	AUX
ijassa-837	229	27	expressed	express	VERB
ijassa-837	229	28	as	as	ADP
ijassa-837	229	29	the	the	DET
ijassa-837	229	30	linear	linear	ADJ
ijassa-837	229	31	operator	operator	NOUN
ijassa-837	229	32	o(t	o(t	PROPN
ijassa-837	229	33	)	)	PUNCT
ijassa-837	229	34	:	:	PUNCT
ijassa-837	230	1	l2(γ	l2(γ	NOUN
ijassa-837	230	2	,	,	PUNCT
ijassa-837	230	3	l(t),rn)→	l(t),rn)→	X
ijassa-837	230	4	ll2	ll2	NOUN
ijassa-837	230	5	(	(	PUNCT
ijassa-837	230	6	[	[	X
ijassa-837	230	7	0	0	NUM
ijassa-837	230	8	,	,	PUNCT
ijassa-837	230	9	t	t	X
ijassa-837	230	10	]	]	PUNCT
ijassa-837	230	11	)	)	PUNCT
ijassa-837	230	12	which	which	PRON
ijassa-837	230	13	is	be	AUX
ijassa-837	230	14	defined	define	VERB
ijassa-837	230	15	by	by	ADP
ijassa-837	230	16	o(t)c	o(t)c	NOUN
ijassa-837	230	17	=	=	PUNCT
ijassa-837	230	18	(	(	PUNCT
ijassa-837	230	19	w1	w1	NOUN
ijassa-837	230	20	+	+	NOUN
ijassa-837	230	21	w2)(s1	w2)(s1	NOUN
ijassa-837	230	22	+	+	CCONJ
ijassa-837	230	23	s2)(t	s2)(t	ADJ
ijassa-837	230	24	−	−	NOUN
ijassa-837	230	25	s)e{c|l	s)e{c|l	NOUN
ijassa-837	230	26	}	}	PUNCT
ijassa-837	230	27	.	.	PUNCT
ijassa-837	231	1	•	•	NOUN
ijassa-837	231	2	the	the	DET
ijassa-837	231	3	observability	observability	NOUN
ijassa-837	231	4	gramian	gramian	NOUN
ijassa-837	231	5	of	of	ADP
ijassa-837	231	6	the	the	DET
ijassa-837	231	7	uncertain	uncertain	ADJ
ijassa-837	231	8	system	system	NOUN
ijassa-837	231	9	(	(	PUNCT
ijassa-837	231	10	4.5	4.5	NUM
ijassa-837	231	11	)	)	PUNCT
ijassa-837	231	12	on	on	ADP
ijassa-837	231	13	[	[	X
ijassa-837	231	14	0	0	NUM
ijassa-837	231	15	,	,	PUNCT
ijassa-837	231	16	t	t	PROPN
ijassa-837	231	17	]	]	PUNCT
ijassa-837	231	18	is	be	AUX
ijassa-837	231	19	defined	define	VERB
ijassa-837	231	20	by	by	ADP
ijassa-837	231	21	:	:	PUNCT
ijassa-837	231	22	θ	θ	X
ijassa-837	231	23	=	=	SYM
ijassa-837	231	24	(	(	PUNCT
ijassa-837	231	25	o(t))∗o(t	o(t))∗o(t	ADJ
ijassa-837	231	26	)	)	PUNCT
ijassa-837	231	27	.	.	PUNCT
ijassa-837	232	1	definition	definition	NOUN
ijassa-837	232	2	4.3	4.3	NUM
ijassa-837	232	3	:	:	PUNCT
ijassa-837	232	4	the	the	DET
ijassa-837	232	5	uncertain	uncertain	ADJ
ijassa-837	232	6	system	system	NOUN
ijassa-837	232	7	(	(	PUNCT
ijassa-837	232	8	4.5	4.5	NUM
ijassa-837	232	9	)	)	PUNCT
ijassa-837	232	10	is	be	AUX
ijassa-837	232	11	said	say	VERB
ijassa-837	232	12	to	to	PART
ijassa-837	232	13	be	be	AUX
ijassa-837	232	14	relatively	relatively	ADV
ijassa-837	232	15	observable	observable	ADJ
ijassa-837	232	16	on	on	ADP
ijassa-837	232	17	[	[	X
ijassa-837	232	18	0	0	NUM
ijassa-837	232	19	,	,	PUNCT
ijassa-837	232	20	t	t	X
ijassa-837	232	21	]	]	PUNCT
ijassa-837	232	22	if	if	SCONJ
ijassa-837	232	23	the	the	DET
ijassa-837	232	24	operator	operator	NOUN
ijassa-837	232	25	o(t	o(t	ADV
ijassa-837	232	26	)	)	PUNCT
ijassa-837	232	27	is	be	AUX
ijassa-837	232	28	injective	injective	ADJ
ijassa-837	232	29	and	and	CCONJ
ijassa-837	232	30	its	its	PRON
ijassa-837	232	31	inverse	inverse	NOUN
ijassa-837	232	32	bounded	bound	VERB
ijassa-837	232	33	on	on	ADP
ijassa-837	232	34	the	the	DET
ijassa-837	232	35	range	range	NOUN
ijassa-837	232	36	o(t	o(t	NOUN
ijassa-837	232	37	)	)	PUNCT
ijassa-837	232	38	.	.	PUNCT
ijassa-837	233	1	the	the	DET
ijassa-837	233	2	means	mean	VERB
ijassa-837	233	3	that	that	SCONJ
ijassa-837	233	4	the	the	DET
ijassa-837	233	5	initial	initial	ADJ
ijassa-837	233	6	state	state	NOUN
ijassa-837	233	7	can	can	AUX
ijassa-837	233	8	be	be	AUX
ijassa-837	233	9	uniquely	uniquely	ADV
ijassa-837	233	10	and	and	CCONJ
ijassa-837	233	11	continuously	continuously	ADV
ijassa-837	233	12	constructed	construct	VERB
ijassa-837	233	13	from	from	ADP
ijassa-837	233	14	outputs	output	NOUN
ijassa-837	233	15	in	in	ADP
ijassa-837	233	16	ll2	ll2	NOUN
ijassa-837	233	17	(	(	PUNCT
ijassa-837	233	18	γ	γ	X
ijassa-837	233	19	,	,	PUNCT
ijassa-837	233	20	l(t),rn	l(t),rn	NOUN
ijassa-837	233	21	)	)	PUNCT
ijassa-837	233	22	.	.	PUNCT
ijassa-837	234	1	definition	definition	NOUN
ijassa-837	234	2	4.4	4.4	NUM
ijassa-837	234	3	:	:	PUNCT
ijassa-837	234	4	the	the	DET
ijassa-837	234	5	uncertain	uncertain	ADJ
ijassa-837	234	6	system	system	NOUN
ijassa-837	234	7	(	(	PUNCT
ijassa-837	234	8	4.5	4.5	NUM
ijassa-837	234	9	)	)	PUNCT
ijassa-837	234	10	is	be	AUX
ijassa-837	234	11	said	say	VERB
ijassa-837	234	12	to	to	PART
ijassa-837	234	13	be	be	AUX
ijassa-837	234	14	approximately	approximately	ADV
ijassa-837	234	15	observable	observable	ADJ
ijassa-837	234	16	on	on	ADP
ijassa-837	234	17	[	[	X
ijassa-837	234	18	0	0	NUM
ijassa-837	234	19	,	,	PUNCT
ijassa-837	234	20	t	t	X
ijassa-837	234	21	]	]	PUNCT
ijassa-837	234	22	if	if	SCONJ
ijassa-837	234	23	o(t	o(t	PRON
ijassa-837	234	24	)	)	PUNCT
ijassa-837	234	25	=	=	PUNCT
ijassa-837	234	26	{	{	PUNCT
ijassa-837	234	27	0	0	NUM
ijassa-837	234	28	}	}	PUNCT
ijassa-837	234	29	,	,	PUNCT
ijassa-837	234	30	that	that	ADV
ijassa-837	234	31	is	is	ADV
ijassa-837	234	32	,	,	PUNCT
ijassa-837	234	33	the	the	DET
ijassa-837	234	34	initial	initial	ADJ
ijassa-837	234	35	state	state	NOUN
ijassa-837	234	36	uniquely	uniquely	ADV
ijassa-837	234	37	depends	depend	VERB
ijassa-837	234	38	on	on	ADP
ijassa-837	234	39	the	the	DET
ijassa-837	234	40	knowledge	knowledge	NOUN
ijassa-837	234	41	of	of	ADP
ijassa-837	234	42	the	the	DET
ijassa-837	234	43	result	result	NOUN
ijassa-837	234	44	in	in	ADP
ijassa-837	234	45	ll2	ll2	NOUN
ijassa-837	234	46	(	(	PUNCT
ijassa-837	234	47	γ	γ	X
ijassa-837	234	48	,	,	PUNCT
ijassa-837	234	49	l(t),rn	l(t),rn	NOUN
ijassa-837	234	50	)	)	PUNCT
ijassa-837	234	51	.	.	PUNCT
ijassa-837	235	1	copyright	copyright	NOUN
ijassa-837	235	2	©	©	PROPN
ijassa-837	235	3	2021	2021	NUM
ijassa-837	235	4	assa	assa	NOUN
ijassa-837	235	5	.	.	PUNCT
ijassa-837	236	1	adv	adv	PROPN
ijassa-837	236	2	syst	syst	PROPN
ijassa-837	236	3	sci	sci	PROPN
ijassa-837	236	4	appl	appl	PROPN
ijassa-837	236	5	(	(	PUNCT
ijassa-837	236	6	2021	2021	NUM
ijassa-837	236	7	)	)	PUNCT
ijassa-837	236	8	18	18	NUM
ijassa-837	236	9	t.	t.	NOUN
ijassa-837	236	10	latunde	latunde	NOUN
ijassa-837	236	11	,	,	PUNCT
ijassa-837	236	12	a.a	a.a	PROPN
ijassa-837	236	13	.	.	PROPN
ijassa-837	236	14	ishaq	ishaq	PROPN
ijassa-837	236	15	,	,	PUNCT
ijassa-837	236	16	a.f	a.f	PROPN
ijassa-837	236	17	.	.	PROPN
ijassa-837	236	18	adedotun	adedotun	PROPN
ijassa-837	236	19	,	,	PUNCT
ijassa-837	236	20	j.o	j.o	PROPN
ijassa-837	236	21	.	.	PROPN
ijassa-837	236	22	ajinuhi	ajinuhi	PROPN
ijassa-837	236	23	,	,	PUNCT
ijassa-837	236	24	o.j	o.j	PROPN
ijassa-837	236	25	.	.	PROPN
ijassa-837	236	26	peter	peter	PROPN
ijassa-837	236	27	theorem	theorem	VERB
ijassa-837	236	28	4.2	4.2	NUM
ijassa-837	236	29	:	:	PUNCT
ijassa-837	236	30	for	for	ADP
ijassa-837	236	31	the	the	DET
ijassa-837	236	32	uncertain	uncertain	ADJ
ijassa-837	236	33	dynamic	dynamic	ADJ
ijassa-837	236	34	system	system	NOUN
ijassa-837	236	35	(	(	PUNCT
ijassa-837	236	36	4.6	4.6	NUM
ijassa-837	236	37	)	)	PUNCT
ijassa-837	236	38	,	,	PUNCT
ijassa-837	236	39	the	the	DET
ijassa-837	236	40	following	follow	VERB
ijassa-837	236	41	duality	duality	NOUN
ijassa-837	236	42	results	result	NOUN
ijassa-837	236	43	hold	hold	VERB
ijassa-837	236	44	true	true	ADJ
ijassa-837	236	45	:	:	PUNCT
ijassa-837	236	46	1	1	X
ijassa-837	236	47	.	.	X
ijassa-837	237	1	the	the	DET
ijassa-837	237	2	uncertain	uncertain	ADJ
ijassa-837	237	3	system	system	NOUN
ijassa-837	237	4	(	(	PUNCT
ijassa-837	237	5	4.5	4.5	NUM
ijassa-837	237	6	)	)	PUNCT
ijassa-837	237	7	is	be	AUX
ijassa-837	237	8	relatively	relatively	ADV
ijassa-837	237	9	observable	observable	ADJ
ijassa-837	237	10	on	on	ADP
ijassa-837	237	11	[	[	X
ijassa-837	237	12	0	0	NUM
ijassa-837	237	13	,	,	PUNCT
ijassa-837	237	14	t	t	X
ijassa-837	237	15	]	]	PUNCT
ijassa-837	237	16	if	if	SCONJ
ijassa-837	237	17	and	and	CCONJ
ijassa-837	237	18	only	only	ADV
ijassa-837	237	19	if	if	SCONJ
ijassa-837	237	20	the	the	DET
ijassa-837	237	21	dual	dual	ADJ
ijassa-837	237	22	system	system	NOUN
ijassa-837	237	23	(	(	PUNCT
ijassa-837	237	24	4.2	4.2	NUM
ijassa-837	237	25	)	)	PUNCT
ijassa-837	237	26	is	be	AUX
ijassa-837	237	27	relatively	relatively	ADV
ijassa-837	237	28	controllable	controllable	ADJ
ijassa-837	237	29	on	on	ADP
ijassa-837	237	30	[	[	X
ijassa-837	237	31	0	0	NUM
ijassa-837	237	32	,	,	PUNCT
ijassa-837	237	33	t	t	X
ijassa-837	237	34	]	]	PUNCT
ijassa-837	237	35	.	.	PUNCT
ijassa-837	238	1	2	2	X
ijassa-837	238	2	.	.	X
ijassa-837	238	3	the	the	DET
ijassa-837	238	4	uncertain	uncertain	ADJ
ijassa-837	238	5	system	system	NOUN
ijassa-837	238	6	(	(	PUNCT
ijassa-837	238	7	4.5	4.5	NUM
ijassa-837	238	8	)	)	PUNCT
ijassa-837	238	9	is	be	AUX
ijassa-837	238	10	approximately	approximately	ADV
ijassa-837	238	11	controllable	controllable	ADJ
ijassa-837	238	12	on	on	ADP
ijassa-837	238	13	[	[	X
ijassa-837	238	14	0	0	NUM
ijassa-837	238	15	,	,	PUNCT
ijassa-837	238	16	t	t	X
ijassa-837	238	17	]	]	PUNCT
ijassa-837	238	18	if	if	SCONJ
ijassa-837	238	19	and	and	CCONJ
ijassa-837	238	20	only	only	ADV
ijassa-837	238	21	if	if	SCONJ
ijassa-837	238	22	the	the	DET
ijassa-837	238	23	dual	dual	ADJ
ijassa-837	238	24	system	system	NOUN
ijassa-837	238	25	is	be	AUX
ijassa-837	238	26	approximately	approximately	ADV
ijassa-837	238	27	controllable	controllable	ADJ
ijassa-837	238	28	on	on	ADP
ijassa-837	238	29	[	[	X
ijassa-837	238	30	0	0	NUM
ijassa-837	238	31	,	,	PUNCT
ijassa-837	238	32	t	t	X
ijassa-837	238	33	]	]	PUNCT
ijassa-837	238	34	.	.	PUNCT
ijassa-837	239	1	proof	proof	NOUN
ijassa-837	239	2	since	since	SCONJ
ijassa-837	239	3	f	f	PROPN
ijassa-837	239	4	and	and	CCONJ
ijassa-837	239	5	j	j	PROPN
ijassa-837	239	6	generate	generate	VERB
ijassa-837	239	7	a	a	DET
ijassa-837	239	8	co	co	NOUN
ijassa-837	239	9	-	-	NOUN
ijassa-837	239	10	semigroup	semigroup	ADJ
ijassa-837	239	11	s1(t	s1(t	NOUN
ijassa-837	239	12	)	)	PUNCT
ijassa-837	239	13	and	and	CCONJ
ijassa-837	239	14	s2(t	s2(t	NUM
ijassa-837	239	15	)	)	PUNCT
ijassa-837	239	16	respectively	respectively	ADV
ijassa-837	239	17	on	on	ADP
ijassa-837	239	18	ll2	ll2	NOUN
ijassa-837	239	19	(	(	PUNCT
ijassa-837	239	20	γ	γ	X
ijassa-837	239	21	,	,	PUNCT
ijassa-837	239	22	l(t),rn	l(t),rn	NOUN
ijassa-837	239	23	)	)	PUNCT
ijassa-837	239	24	,	,	PUNCT
ijassa-837	239	25	then	then	ADV
ijassa-837	239	26	f	f	PROPN
ijassa-837	239	27	∗	∗	NOUN
ijassa-837	239	28	and	and	CCONJ
ijassa-837	239	29	j∗	j∗	PROPN
ijassa-837	239	30	generate	generate	VERB
ijassa-837	239	31	the	the	DET
ijassa-837	239	32	co	co	NOUN
ijassa-837	239	33	-	-	ADJ
ijassa-837	239	34	semigroup	semigroup	ADJ
ijassa-837	239	35	s∗1(t	s∗1(t	PROPN
ijassa-837	239	36	)	)	PUNCT
ijassa-837	239	37	and	and	CCONJ
ijassa-837	239	38	s∗2(t	s∗2(t	PROPN
ijassa-837	239	39	)	)	PUNCT
ijassa-837	239	40	respectively	respectively	ADV
ijassa-837	239	41	.	.	PUNCT
ijassa-837	240	1	also	also	ADV
ijassa-837	240	2	,	,	PUNCT
ijassa-837	240	3	since	since	SCONJ
ijassa-837	240	4	o(t	o(t	NUM
ijassa-837	240	5	)	)	PUNCT
ijassa-837	240	6	∈	∈	PROPN
ijassa-837	240	7	ll2	ll2	NOUN
ijassa-837	240	8	(	(	PUNCT
ijassa-837	240	9	[	[	X
ijassa-837	240	10	0	0	NUM
ijassa-837	240	11	,	,	PUNCT
ijassa-837	240	12	t	t	X
ijassa-837	240	13	]	]	PUNCT
ijassa-837	240	14	,	,	PUNCT
ijassa-837	240	15	l2(γ	l2(γ	PROPN
ijassa-837	240	16	,	,	PUNCT
ijassa-837	240	17	l(t),rn	l(t),rn	NOUN
ijassa-837	240	18	)	)	PUNCT
ijassa-837	240	19	)	)	PUNCT
ijassa-837	240	20	,	,	PUNCT
ijassa-837	240	21	(	(	PUNCT
ijassa-837	240	22	o(t))∗q	o(t))∗q	PROPN
ijassa-837	240	23	=	=	SYM
ijassa-837	240	24	∫	∫	PROPN
ijassa-837	240	25	t	t	PROPN
ijassa-837	240	26	0	0	NUM
ijassa-837	240	27	(	(	PUNCT
ijassa-837	240	28	s∗1	s∗1	NOUN
ijassa-837	240	29	+	+	CCONJ
ijassa-837	240	30	s∗2)(t	s∗2)(t	PROPN
ijassa-837	240	31	−	−	PROPN
ijassa-837	240	32	s)(w	s)(w	NOUN
ijassa-837	240	33	∗	∗	NOUN
ijassa-837	240	34	1	1	NUM
ijassa-837	241	1	+	+	NOUN
ijassa-837	241	2	w	w	NOUN
ijassa-837	241	3	∗	∗	NOUN
ijassa-837	241	4	2	2	NUM
ijassa-837	241	5	)	)	PUNCT
ijassa-837	241	6	q(s)ds	q(s)ds	PROPN
ijassa-837	241	7	.	.	PUNCT
ijassa-837	242	1	thus	thus	ADV
ijassa-837	242	2	,	,	PUNCT
ijassa-837	242	3	the	the	DET
ijassa-837	242	4	range	range	NOUN
ijassa-837	242	5	of	of	ADP
ijassa-837	242	6	o(t	o(t	PROPN
ijassa-837	242	7	)	)	PUNCT
ijassa-837	242	8	implies	imply	VERB
ijassa-837	242	9	that	that	PRON
ijassa-837	242	10	of	of	ADP
ijassa-837	242	11	the	the	DET
ijassa-837	242	12	controllability	controllability	NOUN
ijassa-837	242	13	operator	operator	NOUN
ijassa-837	242	14	of	of	ADP
ijassa-837	242	15	the	the	DET
ijassa-837	242	16	dual	dual	ADJ
ijassa-837	242	17	system	system	NOUN
ijassa-837	242	18	(	(	PUNCT
ijassa-837	242	19	4.2	4.2	NUM
ijassa-837	242	20	)	)	PUNCT
ijassa-837	242	21	.	.	PUNCT
ijassa-837	243	1	let	let	VERB
ijassa-837	243	2	the	the	DET
ijassa-837	243	3	controllability	controllability	NOUN
ijassa-837	243	4	of	of	ADP
ijassa-837	243	5	the	the	DET
ijassa-837	243	6	dual	dual	ADJ
ijassa-837	243	7	system	system	NOUN
ijassa-837	243	8	(	(	PUNCT
ijassa-837	243	9	4.2	4.2	NUM
ijassa-837	243	10	)	)	PUNCT
ijassa-837	243	11	be	be	AUX
ijassa-837	243	12	represented	represent	VERB
ijassa-837	243	13	by	by	ADP
ijassa-837	243	14	n(t	n(t	PROPN
ijassa-837	243	15	)	)	PUNCT
ijassa-837	243	16	,	,	PUNCT
ijassa-837	243	17	then	then	ADV
ijassa-837	243	18	(	(	PUNCT
ijassa-837	243	19	o(t))∗	o(t))∗	PROPN
ijassa-837	243	20	=	=	SYM
ijassa-837	243	21	n(t	n(t	PROPN
ijassa-837	243	22	)	)	PUNCT
ijassa-837	243	23	,	,	PUNCT
ijassa-837	243	24	(	(	PUNCT
ijassa-837	243	25	n(t))∗	n(t))∗	PROPN
ijassa-837	243	26	=	=	SYM
ijassa-837	243	27	o(t	o(t	PROPN
ijassa-837	243	28	)	)	PUNCT
ijassa-837	243	29	.	.	PUNCT
ijassa-837	244	1	1	1	X
ijassa-837	244	2	.	.	X
ijassa-837	244	3	suppose	suppose	VERB
ijassa-837	244	4	the	the	DET
ijassa-837	244	5	deterministic	deterministic	ADJ
ijassa-837	244	6	system	system	NOUN
ijassa-837	244	7	(	(	PUNCT
ijassa-837	244	8	4.5	4.5	NUM
ijassa-837	244	9	)	)	PUNCT
ijassa-837	244	10	is	be	AUX
ijassa-837	244	11	relatively	relatively	ADV
ijassa-837	244	12	observable	observable	ADJ
ijassa-837	244	13	,	,	PUNCT
ijassa-837	244	14	there	there	PRON
ijassa-837	244	15	exists	exist	VERB
ijassa-837	244	16	an	an	DET
ijassa-837	244	17	inverse	inverse	NOUN
ijassa-837	244	18	(	(	PUNCT
ijassa-837	244	19	o(t))−1	o(t))−1	NOUN
ijassa-837	244	20	on	on	ADP
ijassa-837	244	21	the	the	DET
ijassa-837	244	22	range	range	NOUN
ijassa-837	244	23	of	of	ADP
ijassa-837	244	24	o(t	o(t	PROPN
ijassa-837	244	25	)	)	PUNCT
ijassa-837	244	26	.	.	PUNCT
ijassa-837	245	1	then,∥∥(o(t))−1q	then,∥∥(o(t))−1q	NUM
ijassa-837	245	2	∥∥	∥∥	PUNCT
ijassa-837	245	3	≤	≤	NUM
ijassa-837	246	1	l	l	NOUN
ijassa-837	246	2	‖q‖	‖q‖	PROPN
ijassa-837	246	3	for	for	ADP
ijassa-837	246	4	all	all	DET
ijassa-837	246	5	q	q	PROPN
ijassa-837	246	6	∈	∈	PROPN
ijassa-837	246	7	ll2	ll2	NOUN
ijassa-837	246	8	(	(	PUNCT
ijassa-837	246	9	[	[	X
ijassa-837	246	10	0	0	NUM
ijassa-837	246	11	,	,	PUNCT
ijassa-837	246	12	t	t	X
ijassa-837	246	13	]	]	PUNCT
ijassa-837	246	14	,	,	PUNCT
ijassa-837	246	15	rn×n	rn×n	NOUN
ijassa-837	246	16	)	)	PUNCT
ijassa-837	246	17	and	and	CCONJ
ijassa-837	246	18	l	l	NOUN
ijassa-837	246	19	>	>	X
ijassa-837	246	20	0	0	X
ijassa-837	246	21	.	.	PUNCT
ijassa-837	247	1	hence	hence	ADV
ijassa-837	247	2	,	,	PUNCT
ijassa-837	247	3	‖c‖	‖c‖	PROPN
ijassa-837	247	4	=	=	SYM
ijassa-837	247	5	∥∥(o(t))−1o(t)c	∥∥(o(t))−1o(t)c	NOUN
ijassa-837	247	6	∥∥	∥∥	PUNCT
ijassa-837	247	7	≤	≤	NUM
ijassa-837	248	1	l	l	NOUN
ijassa-837	248	2	∥∥ot	∥∥ot	PUNCT
ijassa-837	249	1	c	c	X
ijassa-837	249	2	∥∥	∥∥	X
ijassa-837	249	3	=	=	SYM
ijassa-837	249	4	l	l	NOUN
ijassa-837	249	5	‖(n(t))∗c‖	‖(n(t))∗c‖	X
ijassa-837	249	6	.	.	PUNCT
ijassa-837	250	1	therefore	therefore	ADV
ijassa-837	250	2	,	,	PUNCT
ijassa-837	250	3	the	the	DET
ijassa-837	250	4	relative	relative	ADJ
ijassa-837	250	5	controllability	controllability	NOUN
ijassa-837	250	6	of	of	ADP
ijassa-837	250	7	the	the	DET
ijassa-837	250	8	uncertain	uncertain	ADJ
ijassa-837	250	9	system	system	NOUN
ijassa-837	250	10	(	(	PUNCT
ijassa-837	250	11	4.5	4.5	NUM
ijassa-837	250	12	)	)	PUNCT
ijassa-837	250	13	follows	follow	VERB
ijassa-837	250	14	from	from	ADP
ijassa-837	250	15	lemma	lemma	PROPN
ijassa-837	250	16	4.3	4.3	NUM
ijassa-837	250	17	as	as	ADP
ijassa-837	250	18	thus	thus	ADV
ijassa-837	250	19	.	.	PUNCT
ijassa-837	251	1	suppose	suppose	VERB
ijassa-837	251	2	that	that	SCONJ
ijassa-837	251	3	the	the	DET
ijassa-837	251	4	uncertain	uncertain	ADJ
ijassa-837	251	5	system	system	NOUN
ijassa-837	251	6	is	be	AUX
ijassa-837	251	7	relatively	relatively	ADV
ijassa-837	251	8	controllable	controllable	ADJ
ijassa-837	251	9	,	,	PUNCT
ijassa-837	251	10	then	then	ADV
ijassa-837	251	11	(	(	PUNCT
ijassa-837	251	12	n(t))∗	n(t))∗	PROPN
ijassa-837	251	13	is	be	AUX
ijassa-837	251	14	injective	injective	ADJ
ijassa-837	251	15	and	and	CCONJ
ijassa-837	251	16	has	have	VERB
ijassa-837	251	17	a	a	DET
ijassa-837	251	18	closed	closed	ADJ
ijassa-837	251	19	range	range	NOUN
ijassa-837	251	20	.	.	PUNCT
ijassa-837	252	1	this	this	PRON
ijassa-837	252	2	implies	imply	VERB
ijassa-837	252	3	that	that	SCONJ
ijassa-837	252	4	from	from	ADP
ijassa-837	252	5	(	(	PUNCT
ijassa-837	252	6	n0)∗	n0)∗	PROPN
ijassa-837	252	7	=	=	SYM
ijassa-837	252	8	o(t	o(t	PROPN
ijassa-837	252	9	)	)	PUNCT
ijassa-837	252	10	,	,	PUNCT
ijassa-837	252	11	o(t	o(t	PROPN
ijassa-837	252	12	)	)	PUNCT
ijassa-837	252	13	is	be	AUX
ijassa-837	252	14	injective	injective	ADJ
ijassa-837	252	15	and	and	CCONJ
ijassa-837	252	16	has	have	VERB
ijassa-837	252	17	a	a	DET
ijassa-837	252	18	closed	closed	ADJ
ijassa-837	252	19	range	range	NOUN
ijassa-837	252	20	.	.	PUNCT
ijassa-837	253	1	thus	thus	ADV
ijassa-837	253	2	,	,	PUNCT
ijassa-837	253	3	by	by	ADP
ijassa-837	253	4	the	the	DET
ijassa-837	253	5	closed	closed	ADJ
ijassa-837	253	6	graph	graph	NOUN
ijassa-837	253	7	theorem	theorem	VERB
ijassa-837	253	8	,	,	PUNCT
ijassa-837	253	9	the	the	DET
ijassa-837	253	10	inverse	inverse	NOUN
ijassa-837	253	11	of	of	ADP
ijassa-837	253	12	o(t	o(t	PROPN
ijassa-837	253	13	)	)	PUNCT
ijassa-837	253	14	is	be	AUX
ijassa-837	253	15	bounded	bound	VERB
ijassa-837	253	16	on	on	ADP
ijassa-837	253	17	the	the	DET
ijassa-837	253	18	range	range	NOUN
ijassa-837	253	19	of	of	ADP
ijassa-837	253	20	o(t	o(t	NOUN
ijassa-837	253	21	)	)	PUNCT
ijassa-837	253	22	.	.	PUNCT
ijassa-837	254	1	2	2	X
ijassa-837	254	2	.	.	PUNCT
ijassa-837	254	3	however	however	ADV
ijassa-837	254	4	,	,	PUNCT
ijassa-837	254	5	by	by	ADP
ijassa-837	254	6	definition	definition	NOUN
ijassa-837	254	7	,	,	PUNCT
ijassa-837	254	8	the	the	DET
ijassa-837	254	9	deterministic	deterministic	ADJ
ijassa-837	254	10	system	system	NOUN
ijassa-837	254	11	(	(	PUNCT
ijassa-837	254	12	4.6	4.6	NUM
ijassa-837	254	13	)	)	PUNCT
ijassa-837	254	14	is	be	AUX
ijassa-837	254	15	approximately	approximately	ADV
ijassa-837	254	16	observable	observable	ADJ
ijassa-837	254	17	if	if	SCONJ
ijassa-837	254	18	and	and	CCONJ
ijassa-837	254	19	only	only	ADV
ijassa-837	254	20	if	if	SCONJ
ijassa-837	254	21	kero(t	kero(t	PROPN
ijassa-837	254	22	)	)	PUNCT
ijassa-837	254	23	=	=	SYM
ijassa-837	254	24	ker(n(t))∗	ker(n(t))∗	NOUN
ijassa-837	254	25	=	=	SYM
ijassa-837	254	26	{	{	PUNCT
ijassa-837	254	27	0	0	NUM
ijassa-837	254	28	}	}	PUNCT
ijassa-837	254	29	.	.	PUNCT
ijassa-837	255	1	therefore	therefore	ADV
ijassa-837	255	2	by	by	ADP
ijassa-837	255	3	lemma	lemma	PROPN
ijassa-837	255	4	4.4	4.4	NUM
ijassa-837	255	5	,	,	PUNCT
ijassa-837	255	6	ker(n(t))∗	ker(n(t))∗	NOUN
ijassa-837	255	7	=	=	SYM
ijassa-837	255	8	{	{	PUNCT
ijassa-837	255	9	0	0	NUM
ijassa-837	255	10	}	}	PUNCT
ijassa-837	255	11	if	if	SCONJ
ijassa-837	255	12	and	and	CCONJ
ijassa-837	255	13	only	only	ADV
ijassa-837	255	14	if	if	SCONJ
ijassa-837	255	15	the	the	DET
ijassa-837	255	16	uncertain	uncertain	ADJ
ijassa-837	255	17	system	system	NOUN
ijassa-837	255	18	(	(	PUNCT
ijassa-837	255	19	4.5	4.5	NUM
ijassa-837	255	20	)	)	PUNCT
ijassa-837	255	21	is	be	AUX
ijassa-837	255	22	approximately	approximately	ADV
ijassa-837	255	23	controllable	controllable	ADJ
ijassa-837	255	24	.	.	PUNCT
ijassa-837	256	1	hence	hence	ADV
ijassa-837	256	2	the	the	DET
ijassa-837	256	3	proof	proof	NOUN
ijassa-837	256	4	of	of	ADP
ijassa-837	256	5	the	the	DET
ijassa-837	256	6	equivalence	equivalence	NOUN
ijassa-837	256	7	.	.	PUNCT
ijassa-837	257	1	5	5	X
ijassa-837	257	2	.	.	X
ijassa-837	257	3	conclusion	conclusion	NOUN
ijassa-837	257	4	the	the	DET
ijassa-837	257	5	necessary	necessary	ADJ
ijassa-837	257	6	and	and	CCONJ
ijassa-837	257	7	sufficient	sufficient	ADJ
ijassa-837	257	8	conditions	condition	NOUN
ijassa-837	257	9	for	for	ADP
ijassa-837	257	10	the	the	DET
ijassa-837	257	11	uncertain	uncertain	ADJ
ijassa-837	257	12	controllability	controllability	NOUN
ijassa-837	257	13	and	and	CCONJ
ijassa-837	257	14	observability	observability	NOUN
ijassa-837	257	15	of	of	ADP
ijassa-837	257	16	a	a	DET
ijassa-837	257	17	finite	finite	ADJ
ijassa-837	257	18	-	-	ADJ
ijassa-837	257	19	dimensional	dimensional	ADJ
ijassa-837	257	20	uncertain	uncertain	ADJ
ijassa-837	257	21	dynamic	dynamic	ADJ
ijassa-837	257	22	control	control	NOUN
ijassa-837	257	23	system	system	NOUN
ijassa-837	257	24	have	have	AUX
ijassa-837	257	25	been	be	AUX
ijassa-837	257	26	established	establish	VERB
ijassa-837	257	27	and	and	CCONJ
ijassa-837	257	28	proved	prove	VERB
ijassa-837	257	29	.	.	PUNCT
ijassa-837	258	1	thus	thus	ADV
ijassa-837	258	2	,	,	PUNCT
ijassa-837	258	3	the	the	DET
ijassa-837	258	4	effectiveness	effectiveness	NOUN
ijassa-837	258	5	of	of	ADP
ijassa-837	258	6	each	each	DET
ijassa-837	258	7	input	input	NOUN
ijassa-837	258	8	and	and	CCONJ
ijassa-837	258	9	output	output	NOUN
ijassa-837	258	10	in	in	ADP
ijassa-837	258	11	the	the	DET
ijassa-837	258	12	general	general	ADJ
ijassa-837	258	13	operation	operation	NOUN
ijassa-837	258	14	of	of	ADP
ijassa-837	258	15	the	the	DET
ijassa-837	258	16	control	control	NOUN
ijassa-837	258	17	system	system	NOUN
ijassa-837	258	18	can	can	AUX
ijassa-837	258	19	be	be	AUX
ijassa-837	258	20	determined	determine	VERB
ijassa-837	258	21	.	.	PUNCT
ijassa-837	259	1	the	the	DET
ijassa-837	259	2	application	application	NOUN
ijassa-837	259	3	of	of	ADP
ijassa-837	259	4	this	this	DET
ijassa-837	259	5	work	work	NOUN
ijassa-837	259	6	is	be	AUX
ijassa-837	259	7	to	to	PART
ijassa-837	259	8	measure	measure	VERB
ijassa-837	259	9	the	the	DET
ijassa-837	259	10	controllability	controllability	NOUN
ijassa-837	259	11	and	and	CCONJ
ijassa-837	259	12	observability	observability	NOUN
ijassa-837	259	13	degree	degree	NOUN
ijassa-837	259	14	of	of	ADP
ijassa-837	259	15	the	the	DET
ijassa-837	259	16	system	system	NOUN
ijassa-837	259	17	by	by	ADP
ijassa-837	259	18	using	use	VERB
ijassa-837	259	19	certain	certain	ADJ
ijassa-837	259	20	admissible	admissible	ADJ
ijassa-837	259	21	input	input	NOUN
ijassa-837	259	22	factors	factor	NOUN
ijassa-837	259	23	to	to	PART
ijassa-837	259	24	determine	determine	VERB
ijassa-837	259	25	how	how	SCONJ
ijassa-837	259	26	the	the	DET
ijassa-837	259	27	system	system	NOUN
ijassa-837	259	28	can	can	AUX
ijassa-837	259	29	move	move	VERB
ijassa-837	259	30	around	around	ADP
ijassa-837	259	31	its	its	PRON
ijassa-837	259	32	configuration	configuration	NOUN
ijassa-837	259	33	space	space	NOUN
ijassa-837	259	34	.	.	PUNCT
ijassa-837	260	1	subsequently	subsequently	ADV
ijassa-837	260	2	,	,	PUNCT
ijassa-837	260	3	we	we	PRON
ijassa-837	260	4	can	can	AUX
ijassa-837	260	5	observe	observe	VERB
ijassa-837	260	6	the	the	DET
ijassa-837	260	7	analytic	analytic	ADJ
ijassa-837	260	8	and	and	CCONJ
ijassa-837	260	9	numerical	numerical	ADJ
ijassa-837	260	10	solutions	solution	NOUN
ijassa-837	260	11	to	to	ADP
ijassa-837	260	12	the	the	DET
ijassa-837	260	13	multifactor	multifactor	NOUN
ijassa-837	260	14	system	system	NOUN
ijassa-837	260	15	.	.	PUNCT
ijassa-837	261	1	copyright	copyright	NOUN
ijassa-837	261	2	©	©	PROPN
ijassa-837	261	3	2021	2021	NUM
ijassa-837	261	4	assa	assa	NOUN
ijassa-837	261	5	.	.	PUNCT
ijassa-837	262	1	adv	adv	PROPN
ijassa-837	262	2	syst	syst	PROPN
ijassa-837	262	3	sci	sci	PROPN
ijassa-837	262	4	appl	appl	PROPN
ijassa-837	262	5	(	(	PUNCT
ijassa-837	262	6	2021	2021	NUM
ijassa-837	262	7	)	)	PUNCT
ijassa-837	262	8	uncertain	uncertain	ADJ
ijassa-837	262	9	controllability	controllability	NOUN
ijassa-837	262	10	and	and	CCONJ
ijassa-837	262	11	observability	observability	NOUN
ijassa-837	262	12	of	of	ADP
ijassa-837	262	13	an	an	DET
ijassa-837	262	14	optimal	optimal	ADJ
ijassa-837	262	15	control	control	NOUN
ijassa-837	262	16	model	model	NOUN
ijassa-837	262	17	19	19	NUM
ijassa-837	262	18	references	reference	NOUN
ijassa-837	262	19	1	1	NUM
ijassa-837	262	20	.	.	PUNCT
ijassa-837	262	21	klamka	klamka	NOUN
ijassa-837	262	22	,	,	PUNCT
ijassa-837	262	23	j.	j.	PROPN
ijassa-837	262	24	(	(	PUNCT
ijassa-837	262	25	1991	1991	NUM
ijassa-837	262	26	)	)	PUNCT
ijassa-837	262	27	controllability	controllability	NOUN
ijassa-837	262	28	of	of	ADP
ijassa-837	262	29	dynamical	dynamical	ADJ
ijassa-837	262	30	systems	system	NOUN
ijassa-837	262	31	.	.	PUNCT
ijassa-837	263	1	dordrecht	dordrecht	PROPN
ijassa-837	263	2	:	:	PUNCT
ijassa-837	263	3	kluwer	kluwer	PROPN
ijassa-837	263	4	academic	academic	NOUN
ijassa-837	263	5	,	,	PUNCT
ijassa-837	263	6	1991	1991	NUM
ijassa-837	263	7	.	.	PUNCT
ijassa-837	264	1	2	2	X
ijassa-837	264	2	.	.	X
ijassa-837	264	3	klamka	klamka	NOUN
ijassa-837	264	4	,	,	PUNCT
ijassa-837	264	5	j.	j.	PROPN
ijassa-837	264	6	(	(	PUNCT
ijassa-837	264	7	1993	1993	NUM
ijassa-837	264	8	)	)	PUNCT
ijassa-837	264	9	controllability	controllability	NOUN
ijassa-837	264	10	of	of	ADP
ijassa-837	264	11	dynamical	dynamical	ADJ
ijassa-837	264	12	systems	system	NOUN
ijassa-837	264	13	a	a	DET
ijassa-837	264	14	survey	survey	NOUN
ijassa-837	264	15	.	.	PUNCT
ijassa-837	265	1	archives	archive	NOUN
ijassa-837	265	2	of	of	ADP
ijassa-837	265	3	control	control	NOUN
ijassa-837	265	4	sciences	sciences	PROPN
ijassa-837	265	5	,	,	PUNCT
ijassa-837	265	6	2(3/4	2(3/4	NUM
ijassa-837	265	7	)	)	PUNCT
ijassa-837	265	8	,	,	PUNCT
ijassa-837	265	9	281–307	281–307	NUM
ijassa-837	265	10	.	.	PUNCT
ijassa-837	266	1	3	3	X
ijassa-837	266	2	.	.	X
ijassa-837	266	3	klamka	klamka	NOUN
ijassa-837	266	4	,	,	PUNCT
ijassa-837	266	5	j.	j.	PROPN
ijassa-837	266	6	(	(	PUNCT
ijassa-837	266	7	2007	2007	NUM
ijassa-837	266	8	)	)	PUNCT
ijassa-837	266	9	stochastic	stochastic	ADJ
ijassa-837	266	10	controllability	controllability	NOUN
ijassa-837	266	11	of	of	ADP
ijassa-837	266	12	linear	linear	PROPN
ijassa-837	266	13	systems	system	NOUN
ijassa-837	266	14	with	with	ADP
ijassa-837	266	15	state	state	NOUN
ijassa-837	266	16	delays	delay	NOUN
ijassa-837	266	17	.	.	PUNCT
ijassa-837	267	1	international	international	ADJ
ijassa-837	267	2	journal	journal	PROPN
ijassa-837	267	3	of	of	ADP
ijassa-837	267	4	applied	apply	VERB
ijassa-837	267	5	mathematics	mathematic	NOUN
ijassa-837	267	6	and	and	CCONJ
ijassa-837	267	7	computer	computer	NOUN
ijassa-837	267	8	science	science	NOUN
ijassa-837	267	9	,	,	PUNCT
ijassa-837	267	10	17(1	17(1	NUM
ijassa-837	267	11	)	)	PUNCT
ijassa-837	267	12	,	,	PUNCT
ijassa-837	267	13	5–13	5–13	PROPN
ijassa-837	267	14	.	.	PUNCT
ijassa-837	268	1	4	4	NUM
ijassa-837	268	2	.	.	X
ijassa-837	268	3	mahmudov	mahmudov	PROPN
ijassa-837	268	4	,	,	PUNCT
ijassa-837	268	5	n.i	n.i	PROPN
ijassa-837	268	6	.	.	PROPN
ijassa-837	268	7	&	&	CCONJ
ijassa-837	268	8	denker	denker	PROPN
ijassa-837	268	9	a.	a.	PROPN
ijassa-837	268	10	(	(	PUNCT
ijassa-837	268	11	2000	2000	NUM
ijassa-837	268	12	)	)	PUNCT
ijassa-837	268	13	on	on	ADP
ijassa-837	268	14	controllability	controllability	NOUN
ijassa-837	268	15	of	of	ADP
ijassa-837	268	16	linear	linear	PROPN
ijassa-837	268	17	stochastic	stochastic	NOUN
ijassa-837	268	18	systems	system	NOUN
ijassa-837	268	19	.	.	PUNCT
ijassa-837	269	1	international	international	ADJ
ijassa-837	269	2	journal	journal	PROPN
ijassa-837	269	3	of	of	ADP
ijassa-837	269	4	control	control	NOUN
ijassa-837	269	5	,	,	PUNCT
ijassa-837	269	6	73(2	73(2	NUM
ijassa-837	269	7	)	)	PUNCT
ijassa-837	269	8	,	,	PUNCT
ijassa-837	269	9	144–151	144–151	NUM
ijassa-837	269	10	.	.	NOUN
ijassa-837	270	1	5	5	NUM
ijassa-837	270	2	.	.	X
ijassa-837	270	3	mahmudov	mahmudov	PROPN
ijassa-837	270	4	,	,	PUNCT
ijassa-837	270	5	n.i	n.i	PROPN
ijassa-837	270	6	.	.	PROPN
ijassa-837	270	7	(	(	PUNCT
ijassa-837	270	8	2003	2003	NUM
ijassa-837	270	9	)	)	PUNCT
ijassa-837	270	10	controllability	controllability	NOUN
ijassa-837	270	11	and	and	CCONJ
ijassa-837	270	12	observability	observability	NOUN
ijassa-837	270	13	of	of	ADP
ijassa-837	270	14	linear	linear	PROPN
ijassa-837	270	15	stochastic	stochastic	NOUN
ijassa-837	270	16	systems	system	NOUN
ijassa-837	270	17	in	in	ADP
ijassa-837	270	18	hilbert	hilbert	PROPN
ijassa-837	270	19	spaces	space	NOUN
ijassa-837	270	20	.	.	PUNCT
ijassa-837	271	1	progress	progress	NOUN
ijassa-837	271	2	in	in	ADP
ijassa-837	271	3	probability	probability	NOUN
ijassa-837	271	4	,	,	PUNCT
ijassa-837	271	5	53	53	NUM
ijassa-837	271	6	,	,	PUNCT
ijassa-837	271	7	151–167	151–167	NUM
ijassa-837	271	8	.	.	PUNCT
ijassa-837	272	1	6	6	NUM
ijassa-837	272	2	.	.	X
ijassa-837	272	3	guo	guo	PROPN
ijassa-837	272	4	,	,	PUNCT
ijassa-837	272	5	t.l	t.l	PROPN
ijassa-837	272	6	.	.	PUNCT
ijassa-837	272	7	(	(	PUNCT
ijassa-837	272	8	2012	2012	NUM
ijassa-837	272	9	)	)	PUNCT
ijassa-837	272	10	controllability	controllability	NOUN
ijassa-837	272	11	and	and	CCONJ
ijassa-837	272	12	observability	observability	NOUN
ijassa-837	272	13	of	of	ADP
ijassa-837	272	14	impulsive	impulsive	ADJ
ijassa-837	272	15	fractional	fractional	ADJ
ijassa-837	272	16	linear	linear	ADJ
ijassa-837	272	17	timeinvariant	timeinvariant	NOUN
ijassa-837	272	18	system	system	NOUN
ijassa-837	272	19	.	.	PUNCT
ijassa-837	273	1	computer	computer	NOUN
ijassa-837	273	2	and	and	CCONJ
ijassa-837	273	3	mathematics	mathematic	NOUN
ijassa-837	273	4	with	with	ADP
ijassa-837	273	5	applications	application	NOUN
ijassa-837	273	6	,	,	PUNCT
ijassa-837	273	7	64	64	NUM
ijassa-837	273	8	3171–3182	3171–3182	NUM
ijassa-837	273	9	.	.	PUNCT
ijassa-837	273	10	7	7	NUM
ijassa-837	273	11	.	.	X
ijassa-837	273	12	wang	wang	PROPN
ijassa-837	273	13	,	,	PUNCT
ijassa-837	273	14	l	l	PROPN
ijassa-837	273	15	&	&	CCONJ
ijassa-837	273	16	chen	chen	PROPN
ijassa-837	273	17	,	,	PUNCT
ijassa-837	273	18	y.	y.	PROPN
ijassa-837	273	19	(	(	PUNCT
ijassa-837	273	20	2017	2017	NUM
ijassa-837	273	21	)	)	PUNCT
ijassa-837	273	22	physical	physical	ADJ
ijassa-837	273	23	controllability	controllability	NOUN
ijassa-837	273	24	of	of	ADP
ijassa-837	273	25	complex	complex	ADJ
ijassa-837	273	26	networks	network	NOUN
ijassa-837	273	27	.	.	PUNCT
ijassa-837	274	1	scientific	scientific	ADJ
ijassa-837	274	2	reports	report	NOUN
ijassa-837	274	3	,	,	PUNCT
ijassa-837	274	4	7	7	NUM
ijassa-837	274	5	,	,	PUNCT
ijassa-837	274	6	1–14	1–14	PROPN
ijassa-837	274	7	.	.	PROPN
ijassa-837	274	8	8	8	NUM
ijassa-837	274	9	.	.	PUNCT
ijassa-837	275	1	leitold	leitold	PROPN
ijassa-837	275	2	,	,	PUNCT
ijassa-837	275	3	d.	d.	PROPN
ijassa-837	275	4	,	,	PUNCT
ijassa-837	275	5	vathy	vathy	PROPN
ijassa-837	275	6	-	-	PUNCT
ijassa-837	275	7	fogarassy	fogarassy	PROPN
ijassa-837	275	8	,	,	PUNCT
ijassa-837	275	9	a.	a.	PROPN
ijassa-837	275	10	&	&	CCONJ
ijassa-837	275	11	abonyi	abonyi	PROPN
ijassa-837	275	12	,	,	PUNCT
ijassa-837	275	13	j.	j.	PROPN
ijassa-837	275	14	(	(	PUNCT
ijassa-837	275	15	2017	2017	NUM
ijassa-837	275	16	)	)	PUNCT
ijassa-837	275	17	controllability	controllability	NOUN
ijassa-837	275	18	and	and	CCONJ
ijassa-837	275	19	observability	observability	NOUN
ijassa-837	275	20	in	in	ADP
ijassa-837	275	21	complex	complex	ADJ
ijassa-837	275	22	networks	network	NOUN
ijassa-837	275	23	the	the	DET
ijassa-837	275	24	effect	effect	NOUN
ijassa-837	275	25	of	of	ADP
ijassa-837	275	26	connection	connection	NOUN
ijassa-837	275	27	types	type	NOUN
ijassa-837	275	28	.	.	PUNCT
ijassa-837	276	1	scientific	scientific	ADJ
ijassa-837	276	2	reports	report	NOUN
ijassa-837	276	3	,	,	PUNCT
ijassa-837	276	4	7(151	7(151	NUM
ijassa-837	276	5	)	)	PUNCT
ijassa-837	276	6	,	,	PUNCT
ijassa-837	276	7	1–9	1–9	NOUN
ijassa-837	276	8	.	.	NOUN
ijassa-837	276	9	9	9	NUM
ijassa-837	276	10	.	.	X
ijassa-837	277	1	liu	liu	PROPN
ijassa-837	277	2	,	,	PUNCT
ijassa-837	277	3	b.	b.	PROPN
ijassa-837	277	4	(	(	PUNCT
ijassa-837	277	5	2016	2016	NUM
ijassa-837	277	6	)	)	PUNCT
ijassa-837	277	7	uncertain	uncertain	ADJ
ijassa-837	277	8	theory	theory	NOUN
ijassa-837	277	9	(	(	PUNCT
ijassa-837	277	10	5th	5th	ADJ
ijassa-837	277	11	ed	ed	NOUN
ijassa-837	277	12	.	.	PUNCT
ijassa-837	277	13	)	)	PUNCT
ijassa-837	277	14	,	,	PUNCT
ijassa-837	277	15	uncertainty	uncertainty	NOUN
ijassa-837	277	16	theory	theory	NOUN
ijassa-837	277	17	laboratory	laboratory	NOUN
ijassa-837	277	18	,	,	PUNCT
ijassa-837	277	19	china	china	PROPN
ijassa-837	277	20	.	.	PUNCT
ijassa-837	278	1	10	10	NUM
ijassa-837	278	2	.	.	PUNCT
ijassa-837	279	1	liu	liu	PROPN
ijassa-837	279	2	,	,	PUNCT
ijassa-837	279	3	b.	b.	PROPN
ijassa-837	279	4	(	(	PUNCT
ijassa-837	279	5	2008	2008	NUM
ijassa-837	279	6	)	)	PUNCT
ijassa-837	279	7	fuzzy	fuzzy	ADJ
ijassa-837	279	8	process	process	NOUN
ijassa-837	279	9	,	,	PUNCT
ijassa-837	279	10	hybrid	hybrid	NOUN
ijassa-837	279	11	process	process	NOUN
ijassa-837	279	12	and	and	CCONJ
ijassa-837	279	13	uncertain	uncertain	ADJ
ijassa-837	279	14	process	process	NOUN
ijassa-837	279	15	.	.	PUNCT
ijassa-837	280	1	journal	journal	NOUN
ijassa-837	280	2	of	of	ADP
ijassa-837	280	3	uncertain	uncertain	ADJ
ijassa-837	280	4	systems	system	NOUN
ijassa-837	280	5	2(1	2(1	NUM
ijassa-837	280	6	)	)	PUNCT
ijassa-837	280	7	,	,	PUNCT
ijassa-837	280	8	3–16	3–16	PROPN
ijassa-837	280	9	.	.	PUNCT
ijassa-837	281	1	11	11	NUM
ijassa-837	281	2	.	.	X
ijassa-837	282	1	yao	yao	PROPN
ijassa-837	282	2	,	,	PUNCT
ijassa-837	282	3	k.	k.	PROPN
ijassa-837	282	4	&	&	CCONJ
ijassa-837	282	5	chen	chen	PROPN
ijassa-837	282	6	,	,	PUNCT
ijassa-837	282	7	x.a	x.a	PROPN
ijassa-837	282	8	.	.	PROPN
ijassa-837	282	9	(	(	PUNCT
ijassa-837	282	10	2013	2013	NUM
ijassa-837	282	11	)	)	PUNCT
ijassa-837	282	12	numerical	numerical	ADJ
ijassa-837	282	13	method	method	NOUN
ijassa-837	282	14	for	for	ADP
ijassa-837	282	15	solving	solve	VERB
ijassa-837	282	16	uncertain	uncertain	ADJ
ijassa-837	282	17	differential	differential	ADJ
ijassa-837	282	18	equations	equation	NOUN
ijassa-837	282	19	.	.	PUNCT
ijassa-837	283	1	journal	journal	NOUN
ijassa-837	283	2	of	of	ADP
ijassa-837	283	3	intelligent	intelligent	ADJ
ijassa-837	283	4	and	and	CCONJ
ijassa-837	283	5	fuzzy	fuzzy	ADJ
ijassa-837	283	6	systems	system	NOUN
ijassa-837	283	7	,	,	PUNCT
ijassa-837	283	8	25(3	25(3	NUM
ijassa-837	283	9	)	)	PUNCT
ijassa-837	283	10	,	,	PUNCT
ijassa-837	283	11	825–832	825–832	NUM
ijassa-837	283	12	.	.	PROPN
ijassa-837	283	13	12	12	NUM
ijassa-837	283	14	.	.	PUNCT
ijassa-837	284	1	merton	merton	PROPN
ijassa-837	284	2	,	,	PUNCT
ijassa-837	284	3	r.c	r.c	PROPN
ijassa-837	284	4	.	.	PROPN
ijassa-837	284	5	(	(	PUNCT
ijassa-837	284	6	1971	1971	NUM
ijassa-837	284	7	)	)	PUNCT
ijassa-837	284	8	optimal	optimal	ADJ
ijassa-837	284	9	consumption	consumption	NOUN
ijassa-837	284	10	and	and	CCONJ
ijassa-837	284	11	portfolio	portfolio	NOUN
ijassa-837	284	12	rules	rule	NOUN
ijassa-837	284	13	in	in	ADP
ijassa-837	284	14	a	a	DET
ijassa-837	284	15	continuous	continuous	ADJ
ijassa-837	284	16	time	time	NOUN
ijassa-837	284	17	model	model	NOUN
ijassa-837	284	18	.	.	PUNCT
ijassa-837	285	1	journal	journal	PROPN
ijassa-837	285	2	of	of	ADP
ijassa-837	285	3	economic	economic	ADJ
ijassa-837	285	4	theory	theory	NOUN
ijassa-837	285	5	,	,	PUNCT
ijassa-837	285	6	42	42	NUM
ijassa-837	285	7	(	(	PUNCT
ijassa-837	285	8	3	3	NUM
ijassa-837	285	9	)	)	PUNCT
ijassa-837	285	10	,	,	PUNCT
ijassa-837	285	11	373–413	373–413	NUM
ijassa-837	285	12	.	.	NOUN
ijassa-837	285	13	13	13	NUM
ijassa-837	285	14	.	.	PUNCT
ijassa-837	286	1	latunde	latunde	NOUN
ijassa-837	286	2	,	,	PUNCT
ijassa-837	286	3	t.	t.	PROPN
ijassa-837	286	4	&	&	CCONJ
ijassa-837	286	5	bamigbola	bamigbola	PROPN
ijassa-837	286	6	o.m	o.m	PROPN
ijassa-837	286	7	.	.	PUNCT
ijassa-837	287	1	(	(	PUNCT
ijassa-837	287	2	2016	2016	NUM
ijassa-837	287	3	)	)	PUNCT
ijassa-837	287	4	uncertain	uncertain	ADJ
ijassa-837	287	5	optimal	optimal	ADJ
ijassa-837	287	6	control	control	NOUN
ijassa-837	287	7	model	model	NOUN
ijassa-837	287	8	for	for	ADP
ijassa-837	287	9	management	management	NOUN
ijassa-837	287	10	of	of	ADP
ijassa-837	287	11	net	net	ADJ
ijassa-837	287	12	risky	risky	ADJ
ijassa-837	287	13	capital	capital	NOUN
ijassa-837	287	14	asset	asset	NOUN
ijassa-837	287	15	.	.	PUNCT
ijassa-837	288	1	iosr	iosr	ADJ
ijassa-837	288	2	journal	journal	PROPN
ijassa-837	288	3	of	of	ADP
ijassa-837	288	4	mathematics	mathematic	NOUN
ijassa-837	288	5	,	,	PUNCT
ijassa-837	288	6	12(3	12(3	NUM
ijassa-837	288	7	)	)	PUNCT
ijassa-837	288	8	,	,	PUNCT
ijassa-837	288	9	22–30	22–30	NUM
ijassa-837	288	10	.	.	PUNCT
ijassa-837	289	1	14	14	NUM
ijassa-837	289	2	.	.	PUNCT
ijassa-837	289	3	latunde	latunde	NOUN
ijassa-837	289	4	,	,	PUNCT
ijassa-837	289	5	t.	t.	PROPN
ijassa-837	289	6	&	&	CCONJ
ijassa-837	289	7	bamigbola	bamigbola	PROPN
ijassa-837	289	8	,	,	PUNCT
ijassa-837	289	9	o.m	o.m	PROPN
ijassa-837	289	10	.	.	PUNCT
ijassa-837	290	1	(	(	PUNCT
ijassa-837	290	2	2016	2016	NUM
ijassa-837	290	3	)	)	PUNCT
ijassa-837	290	4	on	on	ADP
ijassa-837	290	5	existence	existence	NOUN
ijassa-837	290	6	and	and	CCONJ
ijassa-837	290	7	uniqueness	uniqueness	NOUN
ijassa-837	290	8	of	of	ADP
ijassa-837	290	9	solution	solution	NOUN
ijassa-837	290	10	to	to	ADP
ijassa-837	290	11	a	a	DET
ijassa-837	290	12	special	special	ADJ
ijassa-837	290	13	case	case	NOUN
ijassa-837	290	14	of	of	ADP
ijassa-837	290	15	asset	asset	NOUN
ijassa-837	290	16	management	management	NOUN
ijassa-837	290	17	.	.	PUNCT
ijassa-837	291	1	journal	journal	NOUN
ijassa-837	291	2	of	of	ADP
ijassa-837	291	3	the	the	DET
ijassa-837	291	4	nigeria	nigeria	PROPN
ijassa-837	291	5	association	association	PROPN
ijassa-837	291	6	of	of	ADP
ijassa-837	291	7	mathematical	mathematical	ADJ
ijassa-837	291	8	physics	physics	PROPN
ijassa-837	291	9	(	(	PUNCT
ijassa-837	291	10	namp	namp	PROPN
ijassa-837	291	11	)	)	PUNCT
ijassa-837	291	12	,	,	PUNCT
ijassa-837	291	13	35	35	NUM
ijassa-837	291	14	269–274	269–274	NUM
ijassa-837	291	15	.	.	PUNCT
ijassa-837	292	1	15	15	NUM
ijassa-837	292	2	.	.	PUNCT
ijassa-837	292	3	latunde	latunde	NOUN
ijassa-837	292	4	,	,	PUNCT
ijassa-837	292	5	t.	t.	PROPN
ijassa-837	292	6	&	&	CCONJ
ijassa-837	292	7	bamigbola	bamigbola	PROPN
ijassa-837	292	8	,	,	PUNCT
ijassa-837	292	9	o.m	o.m	PROPN
ijassa-837	292	10	.	.	PUNCT
ijassa-837	293	1	(	(	PUNCT
ijassa-837	293	2	2016	2016	NUM
ijassa-837	293	3	)	)	PUNCT
ijassa-837	293	4	on	on	ADP
ijassa-837	293	5	the	the	DET
ijassa-837	293	6	stability	stability	NOUN
ijassa-837	293	7	analysis	analysis	NOUN
ijassa-837	293	8	of	of	ADP
ijassa-837	293	9	uncertain	uncertain	ADJ
ijassa-837	293	10	optimal	optimal	ADJ
ijassa-837	293	11	control	control	NOUN
ijassa-837	293	12	model	model	NOUN
ijassa-837	293	13	of	of	ADP
ijassa-837	293	14	management	management	NOUN
ijassa-837	293	15	of	of	ADP
ijassa-837	293	16	net	net	ADJ
ijassa-837	293	17	risky	risky	ADJ
ijassa-837	293	18	capital	capital	NOUN
ijassa-837	293	19	asset	asset	NOUN
ijassa-837	293	20	.	.	PUNCT
ijassa-837	294	1	international	international	ADJ
ijassa-837	294	2	journal	journal	PROPN
ijassa-837	294	3	of	of	ADP
ijassa-837	294	4	applied	apply	VERB
ijassa-837	294	5	sciences	science	NOUN
ijassa-837	294	6	and	and	CCONJ
ijassa-837	294	7	mathematical	mathematical	ADJ
ijassa-837	294	8	theory	theory	NOUN
ijassa-837	294	9	,	,	PUNCT
ijassa-837	294	10	2(1	2(1	NUM
ijassa-837	294	11	)	)	PUNCT
ijassa-837	294	12	,	,	PUNCT
ijassa-837	294	13	29–36	29–36	NUM
ijassa-837	294	14	.	.	PUNCT
ijassa-837	295	1	16	16	NUM
ijassa-837	295	2	.	.	PUNCT
ijassa-837	296	1	latunde	latunde	NOUN
ijassa-837	296	2	,	,	PUNCT
ijassa-837	296	3	t.	t.	PROPN
ijassa-837	296	4	&	&	CCONJ
ijassa-837	296	5	bamigbola	bamigbola	PROPN
ijassa-837	296	6	o.m	o.m	PROPN
ijassa-837	296	7	.	.	PUNCT
ijassa-837	297	1	(	(	PUNCT
ijassa-837	297	2	2018	2018	NUM
ijassa-837	297	3	)	)	PUNCT
ijassa-837	297	4	parameter	parameter	NOUN
ijassa-837	297	5	estimation	estimation	NOUN
ijassa-837	297	6	and	and	CCONJ
ijassa-837	297	7	sensitivity	sensitivity	NOUN
ijassa-837	297	8	analysis	analysis	NOUN
ijassa-837	297	9	of	of	ADP
ijassa-837	297	10	an	an	DET
ijassa-837	297	11	optimal	optimal	ADJ
ijassa-837	297	12	control	control	NOUN
ijassa-837	297	13	model	model	NOUN
ijassa-837	297	14	for	for	ADP
ijassa-837	297	15	capital	capital	NOUN
ijassa-837	297	16	asset	asset	NOUN
ijassa-837	297	17	management	management	NOUN
ijassa-837	297	18	.	.	PUNCT
ijassa-837	298	1	advances	advance	NOUN
ijassa-837	298	2	in	in	ADP
ijassa-837	298	3	fuzzy	fuzzy	ADJ
ijassa-837	298	4	systems	system	NOUN
ijassa-837	298	5	,	,	PUNCT
ijassa-837	298	6	2018	2018	NUM
ijassa-837	298	7	1–11	1–11	NOUN
ijassa-837	298	8	.	.	PUNCT
ijassa-837	299	1	17	17	NUM
ijassa-837	299	2	.	.	PUNCT
ijassa-837	300	1	latunde	latunde	NOUN
ijassa-837	300	2	,	,	PUNCT
ijassa-837	300	3	t.	t.	PROPN
ijassa-837	300	4	(	(	PUNCT
ijassa-837	300	5	2019	2019	NUM
ijassa-837	300	6	)	)	PUNCT
ijassa-837	300	7	optimal	optimal	ADJ
ijassa-837	300	8	values	value	NOUN
ijassa-837	300	9	in	in	ADP
ijassa-837	300	10	an	an	DET
ijassa-837	300	11	uncertain	uncertain	ADJ
ijassa-837	300	12	optimal	optimal	ADJ
ijassa-837	300	13	control	control	NOUN
ijassa-837	300	14	model	model	NOUN
ijassa-837	300	15	with	with	ADP
ijassa-837	300	16	application	application	NOUN
ijassa-837	300	17	to	to	ADP
ijassa-837	300	18	capital	capital	NOUN
ijassa-837	300	19	asset	asset	NOUN
ijassa-837	300	20	management	management	NOUN
ijassa-837	300	21	.	.	PUNCT
ijassa-837	301	1	advances	advance	NOUN
ijassa-837	301	2	in	in	ADP
ijassa-837	301	3	systems	system	NOUN
ijassa-837	301	4	science	science	NOUN
ijassa-837	301	5	and	and	CCONJ
ijassa-837	301	6	applications	application	NOUN
ijassa-837	301	7	(	(	PUNCT
ijassa-837	301	8	assa	assa	NOUN
ijassa-837	301	9	)	)	PUNCT
ijassa-837	301	10	,	,	PUNCT
ijassa-837	301	11	19(3	19(3	NUM
ijassa-837	301	12	)	)	PUNCT
ijassa-837	301	13	,	,	PUNCT
ijassa-837	301	14	52–64	52–64	NUM
ijassa-837	301	15	.	.	NOUN
ijassa-837	301	16	18	18	NUM
ijassa-837	301	17	.	.	PUNCT
ijassa-837	302	1	latunde	latunde	NOUN
ijassa-837	302	2	,	,	PUNCT
ijassa-837	302	3	t.	t.	PROPN
ijassa-837	302	4	(	(	PUNCT
ijassa-837	302	5	2020	2020	NUM
ijassa-837	302	6	)	)	PUNCT
ijassa-837	302	7	multifactor	multifactor	NOUN
ijassa-837	302	8	modelling	modelling	NOUN
ijassa-837	302	9	in	in	ADP
ijassa-837	302	10	asset	asset	NOUN
ijassa-837	302	11	management	management	NOUN
ijassa-837	302	12	.	.	PUNCT
ijassa-837	303	1	international	international	ADJ
ijassa-837	303	2	journal	journal	PROPN
ijassa-837	303	3	of	of	ADP
ijassa-837	303	4	mathematics	mathematic	NOUN
ijassa-837	303	5	in	in	ADP
ijassa-837	303	6	operational	operational	ADJ
ijassa-837	303	7	research	research	NOUN
ijassa-837	303	8	,	,	PUNCT
ijassa-837	303	9	17(3	17(3	NUM
ijassa-837	303	10	)	)	PUNCT
ijassa-837	303	11	,	,	PUNCT
ijassa-837	303	12	333–352	333–352	NUM
ijassa-837	303	13	.	.	PUNCT
ijassa-837	304	1	19	19	NUM
ijassa-837	304	2	.	.	PUNCT
ijassa-837	305	1	zhu	zhu	PROPN
ijassa-837	305	2	,	,	PUNCT
ijassa-837	305	3	y.	y.	PROPN
ijassa-837	305	4	(	(	PUNCT
ijassa-837	305	5	2010	2010	NUM
ijassa-837	305	6	)	)	PUNCT
ijassa-837	305	7	uncertain	uncertain	ADJ
ijassa-837	305	8	optimal	optimal	ADJ
ijassa-837	305	9	control	control	NOUN
ijassa-837	305	10	with	with	ADP
ijassa-837	305	11	application	application	NOUN
ijassa-837	305	12	to	to	ADP
ijassa-837	305	13	a	a	DET
ijassa-837	305	14	portfolio	portfolio	NOUN
ijassa-837	305	15	selection	selection	NOUN
ijassa-837	305	16	model	model	NOUN
ijassa-837	305	17	.	.	PUNCT
ijassa-837	306	1	cybernetics	cybernetic	NOUN
ijassa-837	306	2	and	and	CCONJ
ijassa-837	306	3	systems	system	NOUN
ijassa-837	306	4	:	:	PUNCT
ijassa-837	306	5	an	an	DET
ijassa-837	306	6	international	international	ADJ
ijassa-837	306	7	journal	journal	NOUN
ijassa-837	306	8	,	,	PUNCT
ijassa-837	306	9	41	41	NUM
ijassa-837	306	10	,	,	PUNCT
ijassa-837	306	11	535–547	535–547	NUM
ijassa-837	306	12	.	.	NOUN
ijassa-837	306	13	20	20	NUM
ijassa-837	306	14	.	.	PUNCT
ijassa-837	306	15	mahmudov	mahmudov	PROPN
ijassa-837	306	16	,	,	PUNCT
ijassa-837	306	17	n.i	n.i	PROPN
ijassa-837	306	18	.	.	PROPN
ijassa-837	306	19	(	(	PUNCT
ijassa-837	306	20	2001	2001	NUM
ijassa-837	306	21	)	)	PUNCT
ijassa-837	306	22	controllability	controllability	NOUN
ijassa-837	306	23	of	of	ADP
ijassa-837	306	24	linear	linear	PROPN
ijassa-837	306	25	stochastic	stochastic	NOUN
ijassa-837	306	26	systems	system	NOUN
ijassa-837	306	27	in	in	ADP
ijassa-837	306	28	hilbert	hilbert	PROPN
ijassa-837	306	29	spaces	space	NOUN
ijassa-837	306	30	.	.	PUNCT
ijassa-837	307	1	journal	journal	PROPN
ijassa-837	307	2	of	of	ADP
ijassa-837	307	3	mathematical	mathematical	ADJ
ijassa-837	307	4	analysis	analysis	NOUN
ijassa-837	307	5	and	and	CCONJ
ijassa-837	307	6	application	application	NOUN
ijassa-837	307	7	,	,	PUNCT
ijassa-837	307	8	251	251	NUM
ijassa-837	307	9	,	,	PUNCT
ijassa-837	307	10	64–82	64–82	PROPN
ijassa-837	307	11	.	.	PROPN
ijassa-837	307	12	21	21	NUM
ijassa-837	307	13	.	.	PUNCT
ijassa-837	308	1	mahmudov	mahmudov	PROPN
ijassa-837	308	2	,	,	PUNCT
ijassa-837	308	3	n.i	n.i	PROPN
ijassa-837	308	4	.	.	PROPN
ijassa-837	308	5	&	&	CCONJ
ijassa-837	308	6	zorlu	zorlu	PROPN
ijassa-837	308	7	,	,	PUNCT
ijassa-837	308	8	s.	s.	PROPN
ijassa-837	308	9	(	(	PUNCT
ijassa-837	308	10	2003	2003	NUM
ijassa-837	308	11	)	)	PUNCT
ijassa-837	308	12	controllability	controllability	NOUN
ijassa-837	308	13	of	of	ADP
ijassa-837	308	14	nonlinear	nonlinear	ADJ
ijassa-837	308	15	stochastic	stochastic	ADJ
ijassa-837	308	16	systems	system	NOUN
ijassa-837	308	17	.	.	PUNCT
ijassa-837	309	1	international	international	ADJ
ijassa-837	309	2	journal	journal	PROPN
ijassa-837	309	3	of	of	ADP
ijassa-837	309	4	control	control	NOUN
ijassa-837	309	5	,	,	PUNCT
ijassa-837	309	6	76(2	76(2	NUM
ijassa-837	309	7	)	)	PUNCT
ijassa-837	309	8	,	,	PUNCT
ijassa-837	309	9	95–104	95–104	PROPN
ijassa-837	309	10	.	.	PUNCT
ijassa-837	310	1	copyright	copyright	NOUN
ijassa-837	310	2	©	©	PROPN
ijassa-837	310	3	2021	2021	NUM
ijassa-837	310	4	assa	assa	NOUN
ijassa-837	310	5	.	.	PUNCT
ijassa-837	311	1	adv	adv	PROPN
ijassa-837	311	2	syst	syst	PROPN
ijassa-837	311	3	sci	sci	PROPN
ijassa-837	311	4	appl	appl	PROPN
ijassa-837	311	5	(	(	PUNCT
ijassa-837	311	6	2021	2021	NUM
ijassa-837	311	7	)	)	PUNCT
ijassa-837	311	8	introduction	introduction	NOUN
ijassa-837	311	9	preliminaries	preliminary	NOUN
ijassa-837	311	10	the	the	DET
ijassa-837	311	11	asset	asset	NOUN
ijassa-837	311	12	management	management	NOUN
ijassa-837	311	13	model	model	NOUN
ijassa-837	311	14	optimality	optimality	NOUN
ijassa-837	311	15	of	of	ADP
ijassa-837	311	16	the	the	DET
ijassa-837	311	17	solution	solution	NOUN
ijassa-837	311	18	optimal	optimal	ADJ
ijassa-837	311	19	control	control	NOUN
ijassa-837	311	20	of	of	ADP
ijassa-837	311	21	the	the	DET
ijassa-837	311	22	model	model	NOUN
ijassa-837	311	23	solution	solution	NOUN
ijassa-837	311	24	to	to	ADP
ijassa-837	311	25	the	the	DET
ijassa-837	311	26	model	model	NOUN
ijassa-837	311	27	multifactor	multifactor	NOUN
ijassa-837	311	28	model	model	NOUN
ijassa-837	311	29	controllability	controllability	NOUN
ijassa-837	311	30	and	and	CCONJ
ijassa-837	311	31	observability	observability	NOUN
ijassa-837	311	32	of	of	ADP
ijassa-837	311	33	the	the	DET
ijassa-837	311	34	uncertain	uncertain	ADJ
ijassa-837	311	35	system	system	NOUN
ijassa-837	311	36	controllability	controllability	NOUN
ijassa-837	311	37	observability	observability	NOUN
ijassa-837	311	38	conclusion	conclusion	NOUN