id	sid	tid	token	lemma	pos
iajs-2141	1	1	17	17	NUM
iajs-2141	1	2	ibn	ibn	PROPN
iajs-2141	1	3	al	al	PROPN
iajs-2141	1	4	-	-	PUNCT
iajs-2141	1	5	haitham	haitham	PROPN
iajs-2141	1	6	jour	jour	X
iajs-2141	1	7	.	.	PROPN
iajs-2141	1	8	for	for	ADP
iajs-2141	1	9	pure	pure	ADJ
iajs-2141	1	10	&	&	CCONJ
iajs-2141	1	11	appl	appl	PROPN
iajs-2141	1	12	.	.	PUNCT
iajs-2141	2	1	sci	sci	PROPN
iajs-2141	2	2	.	.	PROPN
iajs-2141	2	3	32	32	NUM
iajs-2141	2	4	(	(	PUNCT
iajs-2141	2	5	2	2	NUM
iajs-2141	2	6	)	)	PUNCT
iajs-2141	2	7	2019	2019	NUM
iajs-2141	2	8	abstract	abstract	ADV
iajs-2141	2	9	this	this	DET
iajs-2141	2	10	paper	paper	NOUN
iajs-2141	2	11	deals	deal	NOUN
iajs-2141	2	12	with	with	ADP
iajs-2141	2	13	the	the	DET
iajs-2141	2	14	numerical	numerical	ADJ
iajs-2141	2	15	solution	solution	NOUN
iajs-2141	2	16	of	of	ADP
iajs-2141	2	17	the	the	DET
iajs-2141	2	18	discrete	discrete	ADJ
iajs-2141	2	19	classical	classical	ADJ
iajs-2141	2	20	optimal	optimal	ADJ
iajs-2141	2	21	control	control	NOUN
iajs-2141	2	22	problem	problem	NOUN
iajs-2141	2	23	(	(	PUNCT
iajs-2141	2	24	dcocp	dcocp	PROPN
iajs-2141	2	25	)	)	PUNCT
iajs-2141	2	26	governing	governing	NOUN
iajs-2141	2	27	by	by	ADP
iajs-2141	2	28	linear	linear	PROPN
iajs-2141	2	29	hyperbolic	hyperbolic	ADJ
iajs-2141	2	30	boundary	boundary	ADJ
iajs-2141	2	31	value	value	NOUN
iajs-2141	2	32	problem	problem	NOUN
iajs-2141	2	33	(	(	PUNCT
iajs-2141	2	34	lhbvp	lhbvp	PROPN
iajs-2141	2	35	)	)	PUNCT
iajs-2141	2	36	.	.	PUNCT
iajs-2141	3	1	the	the	DET
iajs-2141	3	2	method	method	NOUN
iajs-2141	3	3	which	which	PRON
iajs-2141	3	4	is	be	AUX
iajs-2141	3	5	used	use	VERB
iajs-2141	3	6	here	here	ADV
iajs-2141	3	7	consists	consist	VERB
iajs-2141	3	8	of	of	ADP
iajs-2141	3	9	:	:	PUNCT
iajs-2141	3	10	the	the	DET
iajs-2141	3	11	gfeim	gfeim	NOUN
iajs-2141	3	12	"	"	PUNCT
iajs-2141	3	13	the	the	DET
iajs-2141	3	14	galerkin	galerkin	PROPN
iajs-2141	3	15	finite	finite	PROPN
iajs-2141	3	16	element	element	NOUN
iajs-2141	3	17	method	method	NOUN
iajs-2141	3	18	in	in	ADP
iajs-2141	3	19	space	space	NOUN
iajs-2141	3	20	variable	variable	NOUN
iajs-2141	3	21	with	with	ADP
iajs-2141	3	22	the	the	DET
iajs-2141	3	23	implicit	implicit	ADJ
iajs-2141	3	24	finite	finite	ADJ
iajs-2141	3	25	difference	difference	NOUN
iajs-2141	3	26	method	method	NOUN
iajs-2141	3	27	in	in	ADP
iajs-2141	3	28	time	time	NOUN
iajs-2141	3	29	variable	variable	NOUN
iajs-2141	3	30	"	"	PUNCT
iajs-2141	3	31	to	to	PART
iajs-2141	3	32	find	find	VERB
iajs-2141	3	33	the	the	DET
iajs-2141	3	34	solution	solution	NOUN
iajs-2141	3	35	of	of	ADP
iajs-2141	3	36	the	the	DET
iajs-2141	3	37	discrete	discrete	ADJ
iajs-2141	3	38	state	state	NOUN
iajs-2141	3	39	equation	equation	NOUN
iajs-2141	3	40	(	(	PUNCT
iajs-2141	3	41	dse	dse	PROPN
iajs-2141	3	42	)	)	PUNCT
iajs-2141	3	43	and	and	CCONJ
iajs-2141	3	44	the	the	DET
iajs-2141	3	45	solution	solution	NOUN
iajs-2141	3	46	of	of	ADP
iajs-2141	3	47	its	its	PRON
iajs-2141	3	48	corresponding	correspond	VERB
iajs-2141	3	49	discrete	discrete	ADJ
iajs-2141	3	50	adjoint	adjoint	NOUN
iajs-2141	3	51	equation	equation	NOUN
iajs-2141	3	52	,	,	PUNCT
iajs-2141	3	53	where	where	SCONJ
iajs-2141	3	54	a	a	DET
iajs-2141	3	55	discrete	discrete	ADJ
iajs-2141	3	56	classical	classical	ADJ
iajs-2141	3	57	control	control	NOUN
iajs-2141	3	58	(	(	PUNCT
iajs-2141	3	59	dcc	dcc	PROPN
iajs-2141	3	60	)	)	PUNCT
iajs-2141	3	61	is	be	AUX
iajs-2141	3	62	given	give	VERB
iajs-2141	3	63	.	.	PUNCT
iajs-2141	4	1	the	the	DET
iajs-2141	4	2	gradient	gradient	ADJ
iajs-2141	4	3	projection	projection	NOUN
iajs-2141	4	4	method	method	NOUN
iajs-2141	4	5	with	with	ADP
iajs-2141	4	6	either	either	CCONJ
iajs-2141	4	7	the	the	DET
iajs-2141	4	8	armijo	armijo	PROPN
iajs-2141	4	9	method	method	NOUN
iajs-2141	4	10	(	(	PUNCT
iajs-2141	4	11	gparm	gparm	NOUN
iajs-2141	4	12	)	)	PUNCT
iajs-2141	4	13	or	or	CCONJ
iajs-2141	4	14	with	with	ADP
iajs-2141	4	15	the	the	DET
iajs-2141	4	16	optimal	optimal	ADJ
iajs-2141	4	17	method	method	NOUN
iajs-2141	4	18	(	(	PUNCT
iajs-2141	4	19	gposm	gposm	NOUN
iajs-2141	4	20	)	)	PUNCT
iajs-2141	4	21	is	be	AUX
iajs-2141	4	22	used	use	VERB
iajs-2141	4	23	to	to	PART
iajs-2141	4	24	solve	solve	VERB
iajs-2141	4	25	the	the	DET
iajs-2141	4	26	minimization	minimization	NOUN
iajs-2141	4	27	problem	problem	NOUN
iajs-2141	4	28	which	which	PRON
iajs-2141	4	29	is	be	AUX
iajs-2141	4	30	obtained	obtain	VERB
iajs-2141	4	31	from	from	ADP
iajs-2141	4	32	the	the	DET
iajs-2141	4	33	necessary	necessary	ADJ
iajs-2141	4	34	condition	condition	NOUN
iajs-2141	4	35	for	for	ADP
iajs-2141	4	36	optimality	optimality	NOUN
iajs-2141	4	37	of	of	ADP
iajs-2141	4	38	the	the	DET
iajs-2141	4	39	dcocp	dcocp	NOUN
iajs-2141	4	40	to	to	PART
iajs-2141	4	41	find	find	VERB
iajs-2141	4	42	the	the	DET
iajs-2141	4	43	dcc.an	dcc.an	ADJ
iajs-2141	4	44	algorithm	algorithm	NOUN
iajs-2141	4	45	is	be	AUX
iajs-2141	4	46	given	give	VERB
iajs-2141	4	47	and	and	CCONJ
iajs-2141	4	48	a	a	DET
iajs-2141	4	49	computer	computer	NOUN
iajs-2141	4	50	program	program	NOUN
iajs-2141	4	51	is	be	AUX
iajs-2141	4	52	coded	code	VERB
iajs-2141	4	53	using	use	VERB
iajs-2141	4	54	the	the	DET
iajs-2141	4	55	above	above	ADJ
iajs-2141	4	56	methods	method	NOUN
iajs-2141	4	57	to	to	PART
iajs-2141	4	58	find	find	VERB
iajs-2141	4	59	the	the	DET
iajs-2141	4	60	numerical	numerical	ADJ
iajs-2141	4	61	solution	solution	NOUN
iajs-2141	4	62	of	of	ADP
iajs-2141	4	63	the	the	DET
iajs-2141	4	64	dcocp	dcocp	NOUN
iajs-2141	4	65	with	with	ADP
iajs-2141	4	66	step	step	NOUN
iajs-2141	4	67	length	length	NOUN
iajs-2141	4	68	of	of	ADP
iajs-2141	4	69	space	space	NOUN
iajs-2141	4	70	variable	variable	NOUN
iajs-2141	4	71	,	,	PUNCT
iajs-2141	4	72	and	and	CCONJ
iajs-2141	4	73	step	step	NOUN
iajs-2141	4	74	length	length	NOUN
iajs-2141	4	75	of	of	ADP
iajs-2141	4	76	time	time	NOUN
iajs-2141	4	77	variable	variable	NOUN
iajs-2141	4	78	.	.	PUNCT
iajs-2141	5	1	illustration	illustration	NOUN
iajs-2141	5	2	examples	example	NOUN
iajs-2141	5	3	are	be	AUX
iajs-2141	5	4	given	give	VERB
iajs-2141	5	5	to	to	PART
iajs-2141	5	6	explain	explain	VERB
iajs-2141	5	7	the	the	DET
iajs-2141	5	8	efficiency	efficiency	NOUN
iajs-2141	5	9	of	of	ADP
iajs-2141	5	10	these	these	DET
iajs-2141	5	11	methods	method	NOUN
iajs-2141	5	12	.	.	PUNCT
iajs-2141	6	1	the	the	DET
iajs-2141	6	2	results	result	NOUN
iajs-2141	6	3	show	show	VERB
iajs-2141	6	4	the	the	DET
iajs-2141	6	5	methods	method	NOUN
iajs-2141	6	6	which	which	PRON
iajs-2141	6	7	are	be	AUX
iajs-2141	6	8	used	use	VERB
iajs-2141	6	9	here	here	ADV
iajs-2141	6	10	are	be	AUX
iajs-2141	6	11	better	well	ADJ
iajs-2141	6	12	than	than	ADP
iajs-2141	6	13	those	those	PRON
iajs-2141	6	14	obtained	obtain	VERB
iajs-2141	6	15	when	when	SCONJ
iajs-2141	6	16	we	we	PRON
iajs-2141	6	17	used	use	VERB
iajs-2141	6	18	the	the	DET
iajs-2141	6	19	gradient	gradient	ADJ
iajs-2141	6	20	method	method	NOUN
iajs-2141	6	21	(	(	PUNCT
iajs-2141	6	22	gm	gm	PROPN
iajs-2141	6	23	)	)	PUNCT
iajs-2141	6	24	or	or	CCONJ
iajs-2141	6	25	frank	frank	PROPN
iajs-2141	6	26	wolfe	wolfe	PROPN
iajs-2141	6	27	method	method	PROPN
iajs-2141	6	28	(	(	PUNCT
iajs-2141	6	29	fwm	fwm	PROPN
iajs-2141	6	30	)	)	PUNCT
iajs-2141	6	31	with	with	ADP
iajs-2141	6	32	armijo	armijo	PROPN
iajs-2141	6	33	step	step	NOUN
iajs-2141	6	34	search	search	NOUN
iajs-2141	6	35	method	method	NOUN
iajs-2141	6	36	to	to	PART
iajs-2141	6	37	solve	solve	VERB
iajs-2141	6	38	the	the	DET
iajs-2141	6	39	minimization	minimization	NOUN
iajs-2141	6	40	problem	problem	NOUN
iajs-2141	6	41	.	.	PUNCT
iajs-2141	7	1	keywords	keyword	NOUN
iajs-2141	7	2	:	:	PUNCT
iajs-2141	7	3	numerical	numerical	ADJ
iajs-2141	7	4	classical	classical	ADJ
iajs-2141	7	5	optimal	optimal	ADJ
iajs-2141	7	6	control	control	NOUN
iajs-2141	7	7	,	,	PUNCT
iajs-2141	7	8	hyperbolic	hyperbolic	ADJ
iajs-2141	7	9	boundary	boundary	ADJ
iajs-2141	7	10	value	value	NOUN
iajs-2141	7	11	problem	problem	NOUN
iajs-2141	7	12	,	,	PUNCT
iajs-2141	7	13	finite	finite	PROPN
iajs-2141	7	14	element	element	NOUN
iajs-2141	7	15	method	method	NOUN
iajs-2141	7	16	,	,	PUNCT
iajs-2141	7	17	gradient	gradient	ADJ
iajs-2141	7	18	projection	projection	NOUN
iajs-2141	7	19	method	method	NOUN
iajs-2141	7	20	,	,	PUNCT
iajs-2141	7	21	armijo	armijo	PROPN
iajs-2141	7	22	step	step	NOUN
iajs-2141	7	23	search	search	NOUN
iajs-2141	7	24	method	method	NOUN
iajs-2141	7	25	,	,	PUNCT
iajs-2141	7	26	optimal	optimal	ADJ
iajs-2141	7	27	step	step	NOUN
iajs-2141	7	28	method	method	NOUN
iajs-2141	7	29	.	.	PUNCT
iajs-2141	8	1	1	1	X
iajs-2141	8	2	.	.	X
iajs-2141	8	3	introduction	introduction	NOUN
iajs-2141	8	4	optimal	optimal	ADJ
iajs-2141	8	5	control	control	NOUN
iajs-2141	8	6	problems	problem	NOUN
iajs-2141	8	7	of	of	ADP
iajs-2141	8	8	partial	partial	ADJ
iajs-2141	8	9	differential	differential	ADJ
iajs-2141	8	10	equations	equation	NOUN
iajs-2141	8	11	pdes	pde	NOUN
iajs-2141	8	12	have	have	VERB
iajs-2141	8	13	wide	wide	ADJ
iajs-2141	8	14	applications	application	NOUN
iajs-2141	8	15	in	in	ADP
iajs-2141	8	16	many	many	ADJ
iajs-2141	8	17	real	real	ADJ
iajs-2141	8	18	live	live	ADJ
iajs-2141	8	19	problems	problem	NOUN
iajs-2141	8	20	such	such	ADJ
iajs-2141	8	21	as	as	ADP
iajs-2141	8	22	in	in	ADP
iajs-2141	8	23	economic	economic	ADJ
iajs-2141	8	24	,	,	PUNCT
iajs-2141	8	25	electromagnetic	electromagnetic	ADJ
iajs-2141	8	26	waves	wave	NOUN
iajs-2141	8	27	,	,	PUNCT
iajs-2141	8	28	biology	biology	NOUN
iajs-2141	8	29	,	,	PUNCT
iajs-2141	8	30	robotics	robotic	NOUN
iajs-2141	8	31	,	,	PUNCT
iajs-2141	8	32	dynamical	dynamical	ADJ
iajs-2141	8	33	elasticity	elasticity	NOUN
iajs-2141	8	34	,	,	PUNCT
iajs-2141	8	35	medicine	medicine	NOUN
iajs-2141	8	36	,	,	PUNCT
iajs-2141	8	37	air	air	NOUN
iajs-2141	8	38	traffic	traffic	NOUN
iajs-2141	8	39	and	and	CCONJ
iajs-2141	8	40	many	many	ADJ
iajs-2141	8	41	others	other	NOUN
iajs-2141	8	42	.	.	PUNCT
iajs-2141	9	1	the	the	DET
iajs-2141	9	2	numerical	numerical	ADJ
iajs-2141	9	3	solution	solution	NOUN
iajs-2141	9	4	of	of	ADP
iajs-2141	9	5	the	the	DET
iajs-2141	9	6	dcocp	dcocp	NOUN
iajs-2141	9	7	is	be	AUX
iajs-2141	9	8	studied	study	VERB
iajs-2141	9	9	by	by	ADP
iajs-2141	9	10	many	many	ADJ
iajs-2141	9	11	researches	research	NOUN
iajs-2141	9	12	.	.	PUNCT
iajs-2141	10	1	the	the	DET
iajs-2141	10	2	gparm	gparm	NOUN
iajs-2141	10	3	or	or	CCONJ
iajs-2141	10	4	gposm	gposm	NOUN
iajs-2141	10	5	are	be	AUX
iajs-2141	10	6	used	use	VERB
iajs-2141	10	7	to	to	PART
iajs-2141	10	8	find	find	VERB
iajs-2141	10	9	the	the	DET
iajs-2141	10	10	numerical	numerical	ADJ
iajs-2141	10	11	solution	solution	NOUN
iajs-2141	10	12	of	of	ADP
iajs-2141	10	13	the	the	DET
iajs-2141	10	14	dcocp	dcocp	NOUN
iajs-2141	10	15	governing	govern	VERB
iajs-2141	10	16	either	either	CCONJ
iajs-2141	10	17	by	by	ADP
iajs-2141	10	18	systems	system	NOUN
iajs-2141	10	19	of	of	ADP
iajs-2141	10	20	nonlinear	nonlinear	ADJ
iajs-2141	10	21	elliptic	elliptic	ADJ
iajs-2141	10	22	pdes	pde	NOUN
iajs-2141	10	23	as	as	ADP
iajs-2141	10	24	in	in	ADP
iajs-2141	10	25	[	[	X
iajs-2141	10	26	1	1	NUM
iajs-2141	10	27	,	,	PUNCT
iajs-2141	10	28	2	2	NUM
iajs-2141	10	29	]	]	PUNCT
iajs-2141	10	30	,	,	PUNCT
iajs-2141	10	31	or	or	CCONJ
iajs-2141	10	32	by	by	ADP
iajs-2141	10	33	systems	system	NOUN
iajs-2141	10	34	of	of	ADP
iajs-2141	10	35	semi	semi	ADJ
iajs-2141	10	36	linear	linear	PROPN
iajs-2141	10	37	parabolic	parabolic	ADJ
iajs-2141	10	38	pdes	pde	NOUN
iajs-2141	10	39	as	as	ADP
iajs-2141	10	40	in	in	ADP
iajs-2141	10	41	[	[	X
iajs-2141	10	42	3	3	NUM
iajs-2141	10	43	,	,	PUNCT
iajs-2141	10	44	4	4	NUM
iajs-2141	10	45	]	]	PUNCT
iajs-2141	10	46	,	,	PUNCT
iajs-2141	10	47	or	or	CCONJ
iajs-2141	10	48	by	by	ADP
iajs-2141	10	49	systems	system	NOUN
iajs-2141	10	50	of	of	ADP
iajs-2141	10	51	nonlinear	nonlinear	ADJ
iajs-2141	10	52	ordinary	ordinary	ADJ
iajs-2141	10	53	differential	differential	ADJ
iajs-2141	10	54	equations	equation	NOUN
iajs-2141	10	55	(	(	PUNCT
iajs-2141	10	56	odes	ode	VERB
iajs-2141	10	57	)	)	PUNCT
iajs-2141	10	58	as	as	ADP
iajs-2141	10	59	in	in	ADP
iajs-2141	10	60	[	[	X
iajs-2141	10	61	5	5	NUM
iajs-2141	10	62	,	,	PUNCT
iajs-2141	10	63	6	6	NUM
iajs-2141	10	64	]	]	PUNCT
iajs-2141	10	65	,	,	PUNCT
iajs-2141	10	66	or	or	CCONJ
iajs-2141	10	67	by	by	ADP
iajs-2141	10	68	systems	system	NOUN
iajs-2141	10	69	of	of	ADP
iajs-2141	10	70	lhbvp	lhbvp	NOUN
iajs-2141	10	71	so	so	SCONJ
iajs-2141	10	72	as	as	SCONJ
iajs-2141	10	73	our	our	PRON
iajs-2141	10	74	previous	previous	ADJ
iajs-2141	10	75	work	work	NOUN
iajs-2141	10	76	[	[	X
iajs-2141	10	77	7	7	NUM
iajs-2141	10	78	]	]	PUNCT
iajs-2141	10	79	.	.	PUNCT
iajs-2141	11	1	since	since	SCONJ
iajs-2141	11	2	the	the	DET
iajs-2141	11	3	gfem	gfem	NOUN
iajs-2141	11	4	is	be	AUX
iajs-2141	11	5	one	one	NUM
iajs-2141	11	6	of	of	ADP
iajs-2141	11	7	the	the	DET
iajs-2141	11	8	most	most	ADV
iajs-2141	11	9	an	an	DET
iajs-2141	11	10	efficient	efficient	ADJ
iajs-2141	11	11	and	and	CCONJ
iajs-2141	11	12	fast	fast	ADJ
iajs-2141	11	13	methods	method	NOUN
iajs-2141	11	14	for	for	ADP
iajs-2141	11	15	numerical	numerical	ADJ
iajs-2141	11	16	solution	solution	NOUN
iajs-2141	11	17	for	for	ADP
iajs-2141	11	18	classical	classical	ADJ
iajs-2141	11	19	optimal	optimal	ADJ
iajs-2141	11	20	control	control	NOUN
iajs-2141	11	21	problem	problem	NOUN
iajs-2141	11	22	governing	govern	VERB
iajs-2141	11	23	by	by	ADP
iajs-2141	11	24	hyperbolic	hyperbolic	ADJ
iajs-2141	11	25	partial	partial	ADJ
iajs-2141	11	26	differential	differential	NOUN
iajs-2141	11	27	equation	equation	NOUN
iajs-2141	11	28	via	via	ADP
iajs-2141	11	29	galerkin	galerkin	PROPN
iajs-2141	11	30	finite	finite	PROPN
iajs-2141	11	31	elementimplicit	elementimplicit	PROPN
iajs-2141	11	32	method	method	NOUN
iajs-2141	11	33	with	with	ADP
iajs-2141	11	34	gradient	gradient	ADJ
iajs-2141	11	35	projection	projection	NOUN
iajs-2141	11	36	method	method	NOUN
iajs-2141	11	37	jamil	jamil	PROPN
iajs-2141	11	38	a.	a.	PROPN
iajs-2141	11	39	ali	ali	PROPN
iajs-2141	12	1	al	al	PROPN
iajs-2141	12	2	-	-	PUNCT
iajs-2141	12	3	hawasy	hawasy	PROPN
iajs-2141	12	4	eman	eman	PROPN
iajs-2141	12	5	h.	h.	PROPN
iajs-2141	12	6	al	al	PROPN
iajs-2141	12	7	-	-	PUNCT
iajs-2141	12	8	rawdanee	rawdanee	NOUN
iajs-2141	12	9	ibn	ibn	PROPN
iajs-2141	12	10	al	al	PROPN
iajs-2141	12	11	haitham	haitham	PROPN
iajs-2141	12	12	journal	journal	PROPN
iajs-2141	12	13	for	for	ADP
iajs-2141	12	14	pure	pure	ADJ
iajs-2141	12	15	and	and	CCONJ
iajs-2141	12	16	applied	apply	VERB
iajs-2141	12	17	science	science	NOUN
iajs-2141	12	18	journal	journal	PROPN
iajs-2141	12	19	homepage	homepage	NOUN
iajs-2141	12	20	:	:	PUNCT
iajs-2141	12	21	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	PROPN
iajs-2141	12	22	emanalquraishi91@gmail.com	emanalquraishi91@gmail.com	PROPN
iajs-2141	12	23	article	article	NOUN
iajs-2141	12	24	history	history	NOUN
iajs-2141	12	25	:	:	PUNCT
iajs-2141	12	26	received	receive	VERB
iajs-2141	12	27	25	25	NUM
iajs-2141	12	28	february	february	NOUN
iajs-2141	12	29	2019	2019	NUM
iajs-2141	12	30	,	,	PUNCT
iajs-2141	12	31	accepted	accept	VERB
iajs-2141	12	32	4	4	NUM
iajs-2141	12	33	march	march	NOUN
iajs-2141	12	34	2019	2019	NUM
iajs-2141	12	35	,	,	PUNCT
iajs-2141	12	36	publish	publish	VERB
iajs-2141	12	37	may	may	PROPN
iajs-2141	12	38	2019	2019	NUM
iajs-2141	12	39	10.30526/32.2.2141	10.30526/32.2.2141	PROPN
iajs-2141	12	40	doi	doi	NOUN
iajs-2141	12	41	:	:	PUNCT
iajs-2141	12	42	department	department	NOUN
iajs-2141	12	43	of	of	ADP
iajs-2141	12	44	mathematics	mathematics	PROPN
iajs-2141	12	45	,	,	PUNCT
iajs-2141	12	46	college	college	NOUN
iajs-2141	12	47	of	of	ADP
iajs-2141	12	48	science	science	NOUN
iajs-2141	12	49	,	,	PUNCT
iajs-2141	12	50	university	university	NOUN
iajs-2141	12	51	of	of	ADP
iajs-2141	12	52	mustansiriyah	mustansiriyah	NOUN
iajs-2141	12	53	jhawassy17@uomustanriyah.edu.iq	jhawassy17@uomustanriyah.edu.iq	PROPN
iajs-2141	12	54	mailto:tibataiee92@gmail.com	mailto:tibataiee92@gmail.com	X
iajs-2141	12	55	mailto:tibataiee92@gmail.com	mailto:tibataiee92@gmail.com	AUX
iajs-2141	12	56	jhawassy17@uomustanriyah.edu.iq	jhawassy17@uomustanriyah.edu.iq	PROPN
iajs-2141	12	57	17	17	NUM
iajs-2141	12	58	ibn	ibn	PROPN
iajs-2141	12	59	al	al	PROPN
iajs-2141	12	60	-	-	PUNCT
iajs-2141	12	61	haitham	haitham	PROPN
iajs-2141	12	62	jour	jour	X
iajs-2141	12	63	.	.	PROPN
iajs-2141	13	1	for	for	ADP
iajs-2141	13	2	pure	pure	ADJ
iajs-2141	13	3	&	&	CCONJ
iajs-2141	13	4	appl	appl	PROPN
iajs-2141	13	5	.	.	PUNCT
iajs-2141	14	1	sci	sci	PROPN
iajs-2141	14	2	.	.	PROPN
iajs-2141	14	3	32	32	NUM
iajs-2141	14	4	(	(	PUNCT
iajs-2141	14	5	2	2	NUM
iajs-2141	14	6	)	)	PUNCT
iajs-2141	14	7	2019	2019	NUM
iajs-2141	14	8	solving	solve	VERB
iajs-2141	14	9	different	different	ADJ
iajs-2141	14	10	types	type	NOUN
iajs-2141	14	11	of	of	ADP
iajs-2141	14	12	differential	differential	ADJ
iajs-2141	14	13	equations	equation	NOUN
iajs-2141	14	14	in	in	ADP
iajs-2141	14	15	general	general	ADJ
iajs-2141	14	16	[	[	X
iajs-2141	14	17	8	8	NUM
iajs-2141	14	18	,	,	PUNCT
iajs-2141	14	19	9	9	NUM
iajs-2141	14	20	]	]	PUNCT
iajs-2141	14	21	,	,	PUNCT
iajs-2141	14	22	and	and	CCONJ
iajs-2141	14	23	dcocp	dcocp	NOUN
iajs-2141	14	24	in	in	ADP
iajs-2141	14	25	particular	particular	ADJ
iajs-2141	14	26	.	.	PUNCT
iajs-2141	15	1	in	in	ADP
iajs-2141	15	2	fact	fact	NOUN
iajs-2141	15	3	,	,	PUNCT
iajs-2141	15	4	the	the	DET
iajs-2141	15	5	gfeim	gfeim	NOUN
iajs-2141	15	6	is	be	AUX
iajs-2141	15	7	used	use	VERB
iajs-2141	15	8	in	in	ADP
iajs-2141	15	9	[	[	X
iajs-2141	15	10	7	7	NUM
iajs-2141	15	11	]	]	PUNCT
iajs-2141	15	12	.	.	PUNCT
iajs-2141	16	1	to	to	PART
iajs-2141	16	2	find	find	VERB
iajs-2141	16	3	the	the	DET
iajs-2141	16	4	numerical	numerical	ADJ
iajs-2141	16	5	solution	solution	NOUN
iajs-2141	16	6	for	for	ADP
iajs-2141	16	7	the	the	DET
iajs-2141	16	8	state	state	NOUN
iajs-2141	16	9	of	of	ADP
iajs-2141	16	10	the	the	DET
iajs-2141	16	11	lhbvp	lhbvp	NOUN
iajs-2141	16	12	and	and	CCONJ
iajs-2141	16	13	its	its	PRON
iajs-2141	16	14	adjoint	adjoint	NOUN
iajs-2141	16	15	equations	equation	NOUN
iajs-2141	16	16	while	while	SCONJ
iajs-2141	16	17	the	the	DET
iajs-2141	16	18	gradient	gradient	NOUN
iajs-2141	16	19	method	method	NOUN
iajs-2141	16	20	(	(	PUNCT
iajs-2141	16	21	gm)and	gm)and	PROPN
iajs-2141	16	22	frank	frank	PROPN
iajs-2141	16	23	wolfe	wolfe	PROPN
iajs-2141	16	24	method	method	PROPN
iajs-2141	16	25	(	(	PUNCT
iajs-2141	16	26	fm	fm	NOUN
iajs-2141	16	27	)	)	PUNCT
iajs-2141	16	28	with	with	ADP
iajs-2141	16	29	the	the	DET
iajs-2141	16	30	armijo	armijo	PROPN
iajs-2141	16	31	method	method	NOUN
iajs-2141	16	32	is	be	AUX
iajs-2141	16	33	used	use	VERB
iajs-2141	16	34	there	there	ADV
iajs-2141	16	35	to	to	PART
iajs-2141	16	36	solve	solve	VERB
iajs-2141	16	37	the	the	DET
iajs-2141	16	38	minimization	minimization	NOUN
iajs-2141	16	39	problem	problem	NOUN
iajs-2141	16	40	which	which	PRON
iajs-2141	16	41	is	be	AUX
iajs-2141	16	42	obtained	obtain	VERB
iajs-2141	16	43	from	from	ADP
iajs-2141	16	44	the	the	DET
iajs-2141	16	45	necessary	necessary	ADJ
iajs-2141	16	46	condition	condition	NOUN
iajs-2141	16	47	for	for	ADP
iajs-2141	16	48	optimality	optimality	NOUN
iajs-2141	16	49	of	of	ADP
iajs-2141	16	50	the	the	DET
iajs-2141	16	51	dcocp	dcocp	NOUN
iajs-2141	16	52	to	to	PART
iajs-2141	16	53	find	find	VERB
iajs-2141	16	54	the	the	DET
iajs-2141	16	55	dcc	dcc	PROPN
iajs-2141	16	56	.	.	PUNCT
iajs-2141	17	1	the	the	DET
iajs-2141	17	2	our	our	PRON
iajs-2141	17	3	previous	previous	ADJ
iajs-2141	17	4	work	work	NOUN
iajs-2141	17	5	push	push	VERB
iajs-2141	17	6	us	we	PRON
iajs-2141	17	7	to	to	PART
iajs-2141	17	8	continue	continue	VERB
iajs-2141	17	9	in	in	ADP
iajs-2141	17	10	studying	study	VERB
iajs-2141	17	11	the	the	DET
iajs-2141	17	12	numerical	numerical	ADJ
iajs-2141	17	13	solution	solution	NOUN
iajs-2141	17	14	for	for	ADP
iajs-2141	17	15	the	the	DET
iajs-2141	17	16	dcocp	dcocp	NOUN
iajs-2141	17	17	governed	govern	VERB
iajs-2141	17	18	by	by	ADP
iajs-2141	17	19	lhbvp	lhbvp	NOUN
iajs-2141	17	20	via	via	ADP
iajs-2141	17	21	gfeim	gfeim	NOUN
iajs-2141	17	22	but	but	CCONJ
iajs-2141	17	23	instead	instead	ADV
iajs-2141	17	24	of	of	ADP
iajs-2141	17	25	gm	gm	PROPN
iajs-2141	17	26	or	or	CCONJ
iajs-2141	17	27	fwm	fwm	NOUN
iajs-2141	17	28	with	with	ADP
iajs-2141	17	29	the	the	DET
iajs-2141	17	30	armijo	armijo	PROPN
iajs-2141	17	31	method	method	NOUN
iajs-2141	17	32	to	to	PART
iajs-2141	17	33	find	find	VERB
iajs-2141	17	34	the	the	DET
iajs-2141	17	35	numerical	numerical	PROPN
iajs-2141	17	36	dcoc	dcoc	PROPN
iajs-2141	17	37	,	,	PUNCT
iajs-2141	17	38	the	the	DET
iajs-2141	17	39	gpm	gpm	NOUN
iajs-2141	17	40	with	with	ADP
iajs-2141	17	41	both	both	CCONJ
iajs-2141	17	42	the	the	DET
iajs-2141	17	43	arm	arm	NOUN
iajs-2141	17	44	(	(	PUNCT
iajs-2141	17	45	gparm	gparm	NOUN
iajs-2141	17	46	)	)	PUNCT
iajs-2141	17	47	and	and	CCONJ
iajs-2141	17	48	the	the	DET
iajs-2141	17	49	optimal	optimal	ADJ
iajs-2141	17	50	step	step	NOUN
iajs-2141	17	51	method	method	NOUN
iajs-2141	17	52	(	(	PUNCT
iajs-2141	17	53	gposm	gposm	NOUN
iajs-2141	17	54	)	)	PUNCT
iajs-2141	17	55	is	be	AUX
iajs-2141	17	56	used	use	VERB
iajs-2141	17	57	to	to	PART
iajs-2141	17	58	find	find	VERB
iajs-2141	17	59	the	the	DET
iajs-2141	17	60	numerical	numerical	ADJ
iajs-2141	17	61	dcop	dcop	NOUN
iajs-2141	17	62	to	to	PART
iajs-2141	17	63	solve	solve	VERB
iajs-2141	17	64	the	the	DET
iajs-2141	17	65	minimization	minimization	NOUN
iajs-2141	17	66	problem	problem	NOUN
iajs-2141	17	67	which	which	PRON
iajs-2141	17	68	is	be	AUX
iajs-2141	17	69	obtained	obtain	VERB
iajs-2141	17	70	from	from	ADP
iajs-2141	17	71	the	the	DET
iajs-2141	17	72	necessary	necessary	ADJ
iajs-2141	17	73	condition	condition	NOUN
iajs-2141	17	74	for	for	ADP
iajs-2141	17	75	optimality	optimality	NOUN
iajs-2141	17	76	of	of	ADP
iajs-2141	17	77	the	the	DET
iajs-2141	17	78	dcocp	dcocp	NOUN
iajs-2141	17	79	to	to	PART
iajs-2141	17	80	find	find	VERB
iajs-2141	17	81	the	the	DET
iajs-2141	17	82	dcc	dcc	PROPN
iajs-2141	17	83	an	an	DET
iajs-2141	17	84	algorithm	algorithm	NOUN
iajs-2141	17	85	is	be	AUX
iajs-2141	17	86	given	give	VERB
iajs-2141	17	87	and	and	CCONJ
iajs-2141	17	88	a	a	DET
iajs-2141	17	89	computer	computer	NOUN
iajs-2141	17	90	program	program	NOUN
iajs-2141	17	91	is	be	AUX
iajs-2141	17	92	coded	code	VERB
iajs-2141	17	93	in	in	ADP
iajs-2141	17	94	mat	mat	NOUN
iajs-2141	17	95	lab	lab	NOUN
iajs-2141	17	96	software	software	NOUN
iajs-2141	17	97	to	to	PART
iajs-2141	17	98	solve	solve	VERB
iajs-2141	17	99	the	the	DET
iajs-2141	17	100	dcocp	dcocp	NOUN
iajs-2141	17	101	,	,	PUNCT
iajs-2141	17	102	the	the	DET
iajs-2141	17	103	results	result	NOUN
iajs-2141	17	104	are	be	AUX
iajs-2141	17	105	drawing	draw	VERB
iajs-2141	17	106	by	by	ADP
iajs-2141	17	107	figures	figure	NOUN
iajs-2141	17	108	and	and	CCONJ
iajs-2141	17	109	show	show	VERB
iajs-2141	17	110	that	that	SCONJ
iajs-2141	17	111	the	the	DET
iajs-2141	17	112	gparm	gparm	NOUN
iajs-2141	17	113	is	be	AUX
iajs-2141	17	114	better	well	ADJ
iajs-2141	17	115	than	than	ADP
iajs-2141	17	116	those	those	DET
iajs-2141	17	117	methods	method	NOUN
iajs-2141	17	118	which	which	PRON
iajs-2141	17	119	are	be	AUX
iajs-2141	17	120	used	use	VERB
iajs-2141	17	121	in	in	ADP
iajs-2141	17	122	[	[	X
iajs-2141	17	123	7	7	NUM
iajs-2141	17	124	]	]	PUNCT
iajs-2141	17	125	,	,	PUNCT
iajs-2141	17	126	to	to	PART
iajs-2141	17	127	solve	solve	VERB
iajs-2141	17	128	the	the	DET
iajs-2141	17	129	minimization	minimization	NOUN
iajs-2141	17	130	problem	problem	NOUN
iajs-2141	17	131	.	.	PUNCT
iajs-2141	18	1	2	2	X
iajs-2141	18	2	.	.	X
iajs-2141	18	3	description	description	NOUN
iajs-2141	18	4	of	of	ADP
iajs-2141	18	5	the	the	DET
iajs-2141	18	6	ccoc	ccoc	NOUN
iajs-2141	18	7	and	and	CCONJ
iajs-2141	18	8	the	the	DET
iajs-2141	18	9	dcoc	dcoc	PROPN
iajs-2141	18	10	problems	problem	NOUN
iajs-2141	18	11	[	[	X
iajs-2141	18	12	7	7	X
iajs-2141	18	13	]	]	SYM
iajs-2141	18	14	2.1	2.1	NUM
iajs-2141	18	15	.	.	PUNCT
iajs-2141	19	1	description	description	NOUN
iajs-2141	19	2	of	of	ADP
iajs-2141	19	3	the	the	DET
iajs-2141	19	4	ccoc	ccoc	PROPN
iajs-2141	19	5	problem	problem	NOUN
iajs-2141	19	6	consider	consider	VERB
iajs-2141	19	7	the	the	DET
iajs-2141	19	8	bounded	bounded	ADJ
iajs-2141	19	9	and	and	CCONJ
iajs-2141	19	10	open	open	ADJ
iajs-2141	19	11	region	region	NOUN
iajs-2141	19	12	with	with	ADP
iajs-2141	19	13	lipschitz	lipschitz	NOUN
iajs-2141	19	14	boundary	boundary	NOUN
iajs-2141	19	15	,	,	PUNCT
iajs-2141	19	16	let	let	VERB
iajs-2141	19	17	,	,	PUNCT
iajs-2141	19	18	t	t	PROPN
iajs-2141	19	19	)	)	PUNCT
iajs-2141	19	20	,	,	PUNCT
iajs-2141	19	21	0	0	NUM
iajs-2141	19	22	<	<	X
iajs-2141	19	23	t	t	X
iajs-2141	19	24	<	<	X
iajs-2141	19	25	,	,	PUNCT
iajs-2141	19	26	and	and	CCONJ
iajs-2141	19	27	=	=	X
iajs-2141	19	28	.	.	PUNCT
iajs-2141	20	1	the	the	DET
iajs-2141	20	2	ccoc	ccoc	PROPN
iajs-2141	20	3	of	of	ADP
iajs-2141	20	4	lhbvp	lhbvp	PROPN
iajs-2141	20	5	is	be	AUX
iajs-2141	20	6	given	give	VERB
iajs-2141	20	7	by	by	ADP
iajs-2141	20	8	:	:	PUNCT
iajs-2141	20	9	⃗	⃗	PROPN
iajs-2141	20	10	,	,	PUNCT
iajs-2141	20	11	in	in	ADV
iajs-2141	20	12	,	,	PUNCT
iajs-2141	20	13	⃗	⃗	PROPN
iajs-2141	20	14	(	(	PUNCT
iajs-2141	20	15	1	1	NUM
iajs-2141	20	16	)	)	PUNCT
iajs-2141	20	17	with	with	ADP
iajs-2141	20	18	the	the	DET
iajs-2141	20	19	bc	bc	PROPN
iajs-2141	20	20	:	:	PUNCT
iajs-2141	20	21	⃗	⃗	PROPN
iajs-2141	20	22	,	,	PUNCT
iajs-2141	20	23	in	in	ADP
iajs-2141	20	24	(	(	PUNCT
iajs-2141	20	25	2	2	NUM
iajs-2141	20	26	)	)	PUNCT
iajs-2141	20	27	and	and	CCONJ
iajs-2141	20	28	the	the	DET
iajs-2141	20	29	ics	ic	NOUN
iajs-2141	20	30	:	:	PUNCT
iajs-2141	20	31	⃗	⃗	PROPN
iajs-2141	20	32	⃗	⃗	PROPN
iajs-2141	20	33	,	,	PUNCT
iajs-2141	20	34	in	in	ADP
iajs-2141	20	35	(	(	PUNCT
iajs-2141	20	36	3	3	NUM
iajs-2141	20	37	)	)	PUNCT
iajs-2141	20	38	⃗	⃗	PROPN
iajs-2141	20	39	⃗	⃗	PROPN
iajs-2141	20	40	,	,	PUNCT
iajs-2141	20	41	in	in	ADP
iajs-2141	20	42	(	(	PUNCT
iajs-2141	20	43	4	4	NUM
iajs-2141	20	44	)	)	PUNCT
iajs-2141	20	45	where	where	SCONJ
iajs-2141	20	46	⃗	⃗	PROPN
iajs-2141	20	47	̅	̅	NOUN
iajs-2141	20	48	is	be	AUX
iajs-2141	20	49	the	the	DET
iajs-2141	20	50	state	state	NOUN
iajs-2141	20	51	which	which	PRON
iajs-2141	20	52	corresponds	correspond	VERB
iajs-2141	20	53	to	to	ADP
iajs-2141	20	54	the	the	DET
iajs-2141	20	55	continuous	continuous	ADJ
iajs-2141	20	56	classical	classical	ADJ
iajs-2141	20	57	control	control	NOUN
iajs-2141	20	58	(	(	PUNCT
iajs-2141	20	59	ccc	ccc	PROPN
iajs-2141	20	60	)	)	PUNCT
iajs-2141	20	61	⃗	⃗	PROPN
iajs-2141	20	62	,	,	PUNCT
iajs-2141	20	63	⃗	⃗	PROPN
iajs-2141	20	64	is	be	AUX
iajs-2141	20	65	a	a	DET
iajs-2141	20	66	given	give	VERB
iajs-2141	20	67	function	function	NOUN
iajs-2141	20	68	and	and	CCONJ
iajs-2141	20	69	is	be	AUX
iajs-2141	20	70	the	the	DET
iajs-2141	20	71	second	second	ADJ
iajs-2141	20	72	-	-	PUNCT
iajs-2141	20	73	order	order	NOUN
iajs-2141	20	74	operator	operator	NOUN
iajs-2141	20	75	.	.	PUNCT
iajs-2141	21	1	the	the	DET
iajs-2141	21	2	set	set	NOUN
iajs-2141	21	3	of	of	ADP
iajs-2141	21	4	the	the	DET
iajs-2141	21	5	cccs	cccs	NOUN
iajs-2141	21	6	is	be	AUX
iajs-2141	21	7	,	,	PUNCT
iajs-2141	21	8	where	where	SCONJ
iajs-2141	21	9	|	|	ADV
iajs-2141	21	10	⃗	⃗	PROPN
iajs-2141	21	11	,	,	PUNCT
iajs-2141	21	12	a.e	a.e	PROPN
iajs-2141	21	13	.	.	PROPN
iajs-2141	22	1	in	in	ADP
iajs-2141	22	2	}	}	PUNCT
iajs-2141	22	3	,	,	PUNCT
iajs-2141	22	4	is	be	AUX
iajs-2141	22	5	a	a	DET
iajs-2141	22	6	convex	convex	NOUN
iajs-2141	22	7	.	.	PUNCT
iajs-2141	23	1	the	the	DET
iajs-2141	23	2	cost	cost	NOUN
iajs-2141	23	3	functional	functional	NOUN
iajs-2141	23	4	is	be	AUX
iajs-2141	23	5	given	give	VERB
iajs-2141	23	6	by	by	ADP
iajs-2141	23	7	=	=	NOUN
iajs-2141	23	8	∫	∫	PROPN
iajs-2141	23	9	⃗	⃗	X
iajs-2141	23	10	(	(	PUNCT
iajs-2141	23	11	5	5	NUM
iajs-2141	23	12	)	)	PUNCT
iajs-2141	23	13	where	where	SCONJ
iajs-2141	23	14	⃗	⃗	PROPN
iajs-2141	23	15	and	and	CCONJ
iajs-2141	23	16	⃗	⃗	PROPN
iajs-2141	23	17	are	be	AUX
iajs-2141	23	18	the	the	DET
iajs-2141	23	19	desired	desire	VERB
iajs-2141	23	20	state	state	NOUN
iajs-2141	23	21	and	and	CCONJ
iajs-2141	23	22	the	the	DET
iajs-2141	23	23	desired	desire	VERB
iajs-2141	23	24	control	control	NOUN
iajs-2141	23	25	respectively	respectively	ADV
iajs-2141	23	26	.	.	PUNCT
iajs-2141	24	1	the	the	DET
iajs-2141	24	2	ccoc	ccoc	PROPN
iajs-2141	24	3	problem	problem	NOUN
iajs-2141	24	4	is	be	AUX
iajs-2141	24	5	to	to	PART
iajs-2141	24	6	minimize	minimize	VERB
iajs-2141	24	7	the	the	DET
iajs-2141	24	8	cost	cost	NOUN
iajs-2141	24	9	functional	functional	ADJ
iajs-2141	24	10	(	(	PUNCT
iajs-2141	24	11	5	5	NUM
iajs-2141	24	12	)	)	PUNCT
iajs-2141	24	13	subject	subject	NOUN
iajs-2141	24	14	to	to	ADP
iajs-2141	24	15	.	.	PUNCT
iajs-2141	25	1	in	in	ADP
iajs-2141	25	2	this	this	DET
iajs-2141	25	3	work	work	NOUN
iajs-2141	25	4	,	,	PUNCT
iajs-2141	25	5	the	the	DET
iajs-2141	25	6	inner	inner	ADJ
iajs-2141	25	7	product	product	NOUN
iajs-2141	25	8	and	and	CCONJ
iajs-2141	25	9	the	the	DET
iajs-2141	25	10	norm	norm	NOUN
iajs-2141	25	11	in	in	ADP
iajs-2141	25	12	it	it	PRON
iajs-2141	25	13	will	will	AUX
iajs-2141	25	14	be	be	AUX
iajs-2141	25	15	indicated	indicate	VERB
iajs-2141	25	16	by	by	ADP
iajs-2141	25	17	and	and	CCONJ
iajs-2141	25	18	respectively	respectively	ADV
iajs-2141	25	19	,	,	PUNCT
iajs-2141	25	20	while	while	SCONJ
iajs-2141	25	21	the	the	DET
iajs-2141	25	22	norm	norm	NOUN
iajs-2141	25	23	in	in	ADP
iajs-2141	25	24	sobolev	sobolev	NOUN
iajs-2141	25	25	space	space	NOUN
iajs-2141	25	26	by	by	ADV
iajs-2141	25	27	,	,	PUNCT
iajs-2141	25	28	and	and	CCONJ
iajs-2141	25	29	the	the	DET
iajs-2141	25	30	norm	norm	NOUN
iajs-2141	25	31	in	in	ADP
iajs-2141	25	32	by	by	ADV
iajs-2141	25	33	.	.	PUNCT
iajs-2141	26	1	now	now	ADV
iajs-2141	26	2	,	,	PUNCT
iajs-2141	26	3	the	the	DET
iajs-2141	26	4	weak	weak	ADJ
iajs-2141	26	5	form	form	NOUN
iajs-2141	26	6	(	(	PUNCT
iajs-2141	26	7	wf	wf	PROPN
iajs-2141	26	8	)	)	PUNCT
iajs-2141	26	9	of	of	ADP
iajs-2141	26	10	the	the	DET
iajs-2141	26	11	problem	problem	NOUN
iajs-2141	26	12	(	(	PUNCT
iajs-2141	26	13	14	14	NUM
iajs-2141	26	14	)	)	PUNCT
iajs-2141	26	15	is	be	AUX
iajs-2141	26	16	given	give	VERB
iajs-2141	26	17	by	by	ADP
iajs-2141	26	18	:	:	PUNCT
iajs-2141	26	19	(	(	PUNCT
iajs-2141	26	20	6	6	NUM
iajs-2141	26	21	)	)	PUNCT
iajs-2141	26	22	with	with	ADP
iajs-2141	26	23	the	the	DET
iajs-2141	26	24	(	(	PUNCT
iajs-2141	26	25	ics	ics	PROPN
iajs-2141	26	26	)	)	PUNCT
iajs-2141	26	27	,	,	PUNCT
iajs-2141	26	28	in	in	ADP
iajs-2141	26	29	(	(	PUNCT
iajs-2141	26	30	7	7	NUM
iajs-2141	26	31	)	)	PUNCT
iajs-2141	26	32	,	,	PUNCT
iajs-2141	26	33	in	in	ADP
iajs-2141	26	34	(	(	PUNCT
iajs-2141	26	35	8)	8)	NUM
iajs-2141	26	36	17	17	NUM
iajs-2141	26	37	ibn	ibn	PROPN
iajs-2141	26	38	al	al	PROPN
iajs-2141	26	39	-	-	PUNCT
iajs-2141	26	40	haitham	haitham	PROPN
iajs-2141	26	41	jour	jour	X
iajs-2141	26	42	.	.	PROPN
iajs-2141	27	1	for	for	ADP
iajs-2141	27	2	pure	pure	ADJ
iajs-2141	27	3	&	&	CCONJ
iajs-2141	27	4	appl	appl	PROPN
iajs-2141	27	5	.	.	PUNCT
iajs-2141	28	1	sci	sci	PROPN
iajs-2141	28	2	.	.	PROPN
iajs-2141	28	3	32	32	NUM
iajs-2141	28	4	(	(	PUNCT
iajs-2141	28	5	2	2	NUM
iajs-2141	28	6	)	)	PUNCT
iajs-2141	28	7	2019	2019	NUM
iajs-2141	28	8	where	where	SCONJ
iajs-2141	28	9	is	be	AUX
iajs-2141	28	10	a	a	DET
iajs-2141	28	11	bilinear	bilinear	NOUN
iajs-2141	28	12	form	form	NOUN
iajs-2141	28	13	which	which	PRON
iajs-2141	28	14	is	be	AUX
iajs-2141	28	15	symmetric	symmetric	ADJ
iajs-2141	28	16	,	,	PUNCT
iajs-2141	28	17	and	and	CCONJ
iajs-2141	28	18	satisfies	satisfy	VERB
iajs-2141	28	19	the	the	DET
iajs-2141	28	20	following	follow	VERB
iajs-2141	28	21	assumptions	assumption	NOUN
iajs-2141	28	22	,	,	PUNCT
iajs-2141	28	23	,	,	PUNCT
iajs-2141	28	24	̅	̅	NOUN
iajs-2141	28	25	and	and	CCONJ
iajs-2141	28	26	for	for	ADP
iajs-2141	28	27	some	some	DET
iajs-2141	28	28	positive	positive	ADJ
iajs-2141	28	29	scalars	scalar	NOUN
iajs-2141	28	30	and	and	CCONJ
iajs-2141	28	31	.	.	PUNCT
iajs-2141	29	1	(	(	PUNCT
iajs-2141	29	2	i	i	NOUN
iajs-2141	29	3	)	)	PUNCT
iajs-2141	29	4	(	(	PUNCT
iajs-2141	29	5	ii	ii	NOUN
iajs-2141	29	6	)	)	PUNCT
iajs-2141	29	7	suppose	suppose	VERB
iajs-2141	29	8	,	,	PUNCT
iajs-2141	29	9	and	and	CCONJ
iajs-2141	29	10	then	then	ADV
iajs-2141	29	11	equations	equation	NOUN
iajs-2141	29	12	(	(	PUNCT
iajs-2141	29	13	6	6	NUM
iajs-2141	29	14	-	-	SYM
iajs-2141	29	15	8)	8)	NUM
iajs-2141	29	16	can	can	AUX
iajs-2141	29	17	be	be	AUX
iajs-2141	29	18	written	write	VERB
iajs-2141	29	19	by	by	ADP
iajs-2141	29	20	:	:	PUNCT
iajs-2141	29	21	(	(	PUNCT
iajs-2141	29	22	6a	6a	NOUN
iajs-2141	29	23	)	)	PUNCT
iajs-2141	29	24	with	with	ADP
iajs-2141	29	25	the	the	DET
iajs-2141	29	26	(	(	PUNCT
iajs-2141	29	27	ics	ics	PROPN
iajs-2141	29	28	)	)	PUNCT
iajs-2141	29	29	,	,	PUNCT
iajs-2141	29	30	in	in	ADP
iajs-2141	29	31	(	(	PUNCT
iajs-2141	29	32	7a	7a	NUM
iajs-2141	29	33	)	)	PUNCT
iajs-2141	29	34	,	,	PUNCT
iajs-2141	29	35	in	in	ADP
iajs-2141	29	36	(	(	PUNCT
iajs-2141	29	37	8a	8a	NUM
iajs-2141	29	38	)	)	PUNCT
iajs-2141	29	39	2.2	2.2	NUM
iajs-2141	29	40	.	.	PUNCT
iajs-2141	30	1	description	description	NOUN
iajs-2141	30	2	of	of	ADP
iajs-2141	30	3	the	the	DET
iajs-2141	30	4	dccocp	dccocp	NOUN
iajs-2141	30	5	the	the	DET
iajs-2141	30	6	discretization	discretization	NOUN
iajs-2141	30	7	of	of	ADP
iajs-2141	30	8	the	the	DET
iajs-2141	30	9	ccoc	ccoc	NOUN
iajs-2141	30	10	is	be	AUX
iajs-2141	30	11	obtained	obtain	VERB
iajs-2141	30	12	by	by	ADP
iajs-2141	30	13	using	use	VERB
iajs-2141	30	14	the	the	DET
iajs-2141	30	15	gfem	gfem	NOUN
iajs-2141	30	16	.	.	PUNCT
iajs-2141	31	1	assume	assume	VERB
iajs-2141	31	2	that	that	PRON
iajs-2141	31	3	is	be	AUX
iajs-2141	31	4	polyhedron	polyhedron	NOUN
iajs-2141	31	5	domain	domain	NOUN
iajs-2141	31	6	.	.	PUNCT
iajs-2141	32	1	for	for	ADP
iajs-2141	32	2	every	every	DET
iajs-2141	32	3	integer	integer	NOUN
iajs-2141	32	4	(	(	PUNCT
iajs-2141	32	5	s	s	NOUN
iajs-2141	32	6	)	)	PUNCT
iajs-2141	32	7	,	,	PUNCT
iajs-2141	32	8	let	let	AUX
iajs-2141	32	9	be	be	AUX
iajs-2141	32	10	an	an	DET
iajs-2141	32	11	admissible	admissible	ADJ
iajs-2141	32	12	regular	regular	ADJ
iajs-2141	32	13	triangulation	triangulation	NOUN
iajs-2141	32	14	of	of	ADP
iajs-2141	32	15	̅	̅	NOUN
iajs-2141	32	16	,	,	PUNCT
iajs-2141	32	17	be	be	AUX
iajs-2141	32	18	a	a	DET
iajs-2141	32	19	subdivision	subdivision	NOUN
iajs-2141	32	20	of	of	ADP
iajs-2141	32	21	the	the	DET
iajs-2141	32	22	interval	interval	NOUN
iajs-2141	32	23	̅	̅	NOUN
iajs-2141	32	24	and	and	CCONJ
iajs-2141	32	25	be	be	AUX
iajs-2141	32	26	the	the	DET
iajs-2141	32	27	space	space	NOUN
iajs-2141	32	28	of	of	ADP
iajs-2141	32	29	continuous	continuous	ADJ
iajs-2141	32	30	piecewise	piecewise	NOUN
iajs-2141	32	31	affine	affine	NOUN
iajs-2141	32	32	mapping	mapping	NOUN
iajs-2141	32	33	in	in	ADP
iajs-2141	32	34	.	.	PUNCT
iajs-2141	33	1	for	for	ADP
iajs-2141	33	2	each	each	PRON
iajs-2141	33	3	,	,	PUNCT
iajs-2141	33	4	the	the	DET
iajs-2141	33	5	discrete	discrete	ADJ
iajs-2141	33	6	state	state	NOUN
iajs-2141	33	7	equations	equation	NOUN
iajs-2141	33	8	(	(	PUNCT
iajs-2141	33	9	dses	ds	NOUN
iajs-2141	33	10	)	)	PUNCT
iajs-2141	33	11	of	of	ADP
iajs-2141	33	12	(	(	PUNCT
iajs-2141	33	13	1	1	NUM
iajs-2141	33	14	-	-	SYM
iajs-2141	33	15	4	4	NUM
iajs-2141	33	16	)	)	PUNCT
iajs-2141	33	17	is	be	AUX
iajs-2141	33	18	written	write	VERB
iajs-2141	33	19	by	by	ADP
iajs-2141	33	20	(	(	PUNCT
iajs-2141	33	21	for	for	ADP
iajs-2141	33	22	(	(	PUNCT
iajs-2141	33	23	)	)	PUNCT
iajs-2141	33	24	(	(	PUNCT
iajs-2141	33	25	)	)	PUNCT
iajs-2141	33	26	(	(	PUNCT
iajs-2141	33	27	(	(	PUNCT
iajs-2141	33	28	)	)	PUNCT
iajs-2141	33	29	)	)	PUNCT
iajs-2141	33	30	(	(	PUNCT
iajs-2141	33	31	)	)	PUNCT
iajs-2141	33	32	(	(	PUNCT
iajs-2141	33	33	)	)	PUNCT
iajs-2141	33	34	(	(	PUNCT
iajs-2141	33	35	9	9	NUM
iajs-2141	33	36	)	)	PUNCT
iajs-2141	33	37	(	(	PUNCT
iajs-2141	33	38	10	10	NUM
iajs-2141	33	39	)	)	PUNCT
iajs-2141	33	40	(	(	PUNCT
iajs-2141	33	41	(	(	PUNCT
iajs-2141	33	42	11	11	NUM
iajs-2141	33	43	)	)	PUNCT
iajs-2141	33	44	(	(	PUNCT
iajs-2141	33	45	12	12	NUM
iajs-2141	33	46	)	)	PUNCT
iajs-2141	33	47	where	where	SCONJ
iajs-2141	33	48	,	,	PUNCT
iajs-2141	33	49	for	for	ADP
iajs-2141	33	50	.	.	PUNCT
iajs-2141	34	1	the	the	DET
iajs-2141	34	2	discrete	discrete	ADJ
iajs-2141	34	3	cost	cost	NOUN
iajs-2141	34	4	functional	functional	ADJ
iajs-2141	34	5	(	(	PUNCT
iajs-2141	34	6	dcf	dcf	PROPN
iajs-2141	34	7	)	)	PUNCT
iajs-2141	34	8	is	be	AUX
iajs-2141	34	9	defined	define	VERB
iajs-2141	34	10	by	by	ADP
iajs-2141	34	11	∫	∫	PROPN
iajs-2141	34	12	⃗	⃗	PROPN
iajs-2141	34	13	(	(	PUNCT
iajs-2141	34	14	13	13	NUM
iajs-2141	34	15	)	)	PUNCT
iajs-2141	34	16	the	the	DET
iajs-2141	34	17	dcoc	dcoc	PROPN
iajs-2141	34	18	problem	problem	NOUN
iajs-2141	34	19	here	here	ADV
iajs-2141	34	20	is	be	AUX
iajs-2141	34	21	to	to	PART
iajs-2141	34	22	find	find	VERB
iajs-2141	34	23	,	,	PUNCT
iajs-2141	34	24	such	such	ADJ
iajs-2141	34	25	that	that	DET
iajs-2141	34	26	̅	̅	NOUN
iajs-2141	34	27	̅	̅	NOUN
iajs-2141	34	28	3	3	NUM
iajs-2141	34	29	.	.	PUNCT
iajs-2141	35	1	the	the	DET
iajs-2141	35	2	solution	solution	NOUN
iajs-2141	35	3	of	of	ADP
iajs-2141	35	4	the	the	DET
iajs-2141	35	5	dcocp	dcocp	NOUN
iajs-2141	35	6	this	this	DET
iajs-2141	35	7	section	section	NOUN
iajs-2141	35	8	deals	deal	VERB
iajs-2141	35	9	with	with	ADP
iajs-2141	35	10	some	some	DET
iajs-2141	35	11	theorems	theorem	NOUN
iajs-2141	35	12	and	and	CCONJ
iajs-2141	35	13	lemmas	lemma	NOUN
iajs-2141	35	14	which	which	PRON
iajs-2141	35	15	are	be	AUX
iajs-2141	35	16	important	important	ADJ
iajs-2141	35	17	in	in	ADP
iajs-2141	35	18	the	the	DET
iajs-2141	35	19	next	next	ADJ
iajs-2141	35	20	section	section	NOUN
iajs-2141	35	21	they	they	PRON
iajs-2141	35	22	can	can	AUX
iajs-2141	35	23	be	be	AUX
iajs-2141	35	24	proved	prove	VERB
iajs-2141	35	25	by	by	ADP
iajs-2141	35	26	using	use	VERB
iajs-2141	35	27	the	the	DET
iajs-2141	35	28	same	same	ADJ
iajs-2141	35	29	techniques	technique	NOUN
iajs-2141	35	30	which	which	PRON
iajs-2141	35	31	are	be	AUX
iajs-2141	35	32	used	use	VERB
iajs-2141	35	33	in	in	ADP
iajs-2141	35	34	[	[	X
iajs-2141	35	35	7	7	NUM
iajs-2141	35	36	]	]	PUNCT
iajs-2141	35	37	.	.	PUNCT
iajs-2141	36	1	theorem	theorem	ADJ
iajs-2141	36	2	1	1	NUM
iajs-2141	36	3	:	:	PUNCT
iajs-2141	36	4	for	for	ADP
iajs-2141	36	5	any	any	DET
iajs-2141	36	6	fixed	fixed	ADJ
iajs-2141	36	7	j	j	PROPN
iajs-2141	36	8	(	(	PUNCT
iajs-2141	36	9	,	,	PUNCT
iajs-2141	36	10	and	and	CCONJ
iajs-2141	36	11	,	,	PUNCT
iajs-2141	36	12	the	the	DET
iajs-2141	36	13	dses	ds	NOUN
iajs-2141	36	14	(	(	PUNCT
iajs-2141	36	15	9	9	NUM
iajs-2141	36	16	-	-	SYM
iajs-2141	36	17	12	12	NUM
iajs-2141	36	18	)	)	PUNCT
iajs-2141	36	19	has	have	VERB
iajs-2141	36	20	a	a	DET
iajs-2141	36	21	unique	unique	ADJ
iajs-2141	36	22	solution	solution	NOUN
iajs-2141	36	23	for	for	ADP
iajs-2141	36	24	sufficiently	sufficiently	ADV
iajs-2141	36	25	small	small	ADJ
iajs-2141	36	26	.	.	PUNCT
iajs-2141	37	1	theorem	theorem	NOUN
iajs-2141	37	2	2	2	NUM
iajs-2141	37	3	:	:	PUNCT
iajs-2141	37	4	the	the	DET
iajs-2141	37	5	operator	operator	NOUN
iajs-2141	37	6	is	be	AUX
iajs-2141	37	7	continuous	continuous	ADJ
iajs-2141	37	8	.	.	PUNCT
iajs-2141	37	9	17	17	NUM
iajs-2141	38	1	ibn	ibn	PROPN
iajs-2141	38	2	al	al	PROPN
iajs-2141	38	3	-	-	PUNCT
iajs-2141	38	4	haitham	haitham	PROPN
iajs-2141	38	5	jour	jour	X
iajs-2141	38	6	.	.	PROPN
iajs-2141	38	7	for	for	ADP
iajs-2141	38	8	pure	pure	ADJ
iajs-2141	38	9	&	&	CCONJ
iajs-2141	38	10	appl	appl	PROPN
iajs-2141	38	11	.	.	PUNCT
iajs-2141	39	1	sci	sci	PROPN
iajs-2141	39	2	.	.	PROPN
iajs-2141	39	3	32	32	NUM
iajs-2141	39	4	(	(	PUNCT
iajs-2141	39	5	2	2	NUM
iajs-2141	39	6	)	)	PUNCT
iajs-2141	39	7	2019	2019	NUM
iajs-2141	39	8	lemma	lemma	PROPN
iajs-2141	39	9	3	3	NUM
iajs-2141	39	10	:	:	PUNCT
iajs-2141	39	11	if	if	SCONJ
iajs-2141	39	12	the	the	DET
iajs-2141	39	13	dccs	dccs	NOUN
iajs-2141	39	14	and	and	CCONJ
iajs-2141	39	15	̃	̃	PROPN
iajs-2141	39	16	are	be	AUX
iajs-2141	39	17	bounded	bound	VERB
iajs-2141	39	18	in	in	ADP
iajs-2141	39	19	,	,	PUNCT
iajs-2141	39	20	and	and	CCONJ
iajs-2141	39	21	(	(	PUNCT
iajs-2141	39	22	with	with	SCONJ
iajs-2141	39	23	is	be	AUX
iajs-2141	39	24	a	a	DET
iajs-2141	39	25	small	small	ADJ
iajs-2141	39	26	positive	positive	ADJ
iajs-2141	39	27	number	number	NOUN
iajs-2141	39	28	)	)	PUNCT
iajs-2141	39	29	are	be	AUX
iajs-2141	39	30	corresponding	correspond	VERB
iajs-2141	39	31	discrete	discrete	ADJ
iajs-2141	39	32	states	state	NOUN
iajs-2141	39	33	solutions	solution	NOUN
iajs-2141	39	34	to	to	ADP
iajs-2141	39	35	the	the	DET
iajs-2141	39	36	dccs	dccs	NOUN
iajs-2141	39	37	and	and	CCONJ
iajs-2141	39	38	respectively	respectively	ADV
iajs-2141	39	39	(	(	PUNCT
iajs-2141	39	40	then	then	ADV
iajs-2141	39	41	:	:	PUNCT
iajs-2141	39	42	and	and	CCONJ
iajs-2141	39	43	or	or	CCONJ
iajs-2141	39	44	,	,	PUNCT
iajs-2141	39	45	and	and	CCONJ
iajs-2141	39	46	theorem	theorem	VERB
iajs-2141	39	47	4	4	NUM
iajs-2141	39	48	(	(	PUNCT
iajs-2141	39	49	existence	existence	NOUN
iajs-2141	39	50	of	of	ADP
iajs-2141	39	51	dcocp	dcocp	NOUN
iajs-2141	39	52	):	):	PUNCT
iajs-2141	39	53	consider	consider	VERB
iajs-2141	39	54	the	the	DET
iajs-2141	39	55	dcf	dcf	NOUN
iajs-2141	39	56	in	in	ADP
iajs-2141	39	57	equation	equation	NOUN
iajs-2141	39	58	(	(	PUNCT
iajs-2141	39	59	13	13	NUM
iajs-2141	39	60	)	)	PUNCT
iajs-2141	39	61	.	.	PUNCT
iajs-2141	40	1	assume	assume	VERB
iajs-2141	40	2	that	that	PRON
iajs-2141	40	3	is	be	AUX
iajs-2141	40	4	convex	convex	ADJ
iajs-2141	40	5	and	and	CCONJ
iajs-2141	40	6	closed	close	VERB
iajs-2141	40	7	.	.	PUNCT
iajs-2141	41	1	if	if	SCONJ
iajs-2141	41	2	is	be	AUX
iajs-2141	41	3	coercive	coercive	ADJ
iajs-2141	41	4	,	,	PUNCT
iajs-2141	41	5	then	then	ADV
iajs-2141	41	6	there	there	PRON
iajs-2141	41	7	exists	exist	VERB
iajs-2141	41	8	a	a	DET
iajs-2141	41	9	discrete	discrete	ADJ
iajs-2141	41	10	classical	classical	ADJ
iajs-2141	41	11	optimal	optimal	ADJ
iajs-2141	41	12	control	control	NOUN
iajs-2141	41	13	.	.	PUNCT
iajs-2141	42	1	theorem	theorem	NOUN
iajs-2141	42	2	5	5	NUM
iajs-2141	42	3	(	(	PUNCT
iajs-2141	42	4	the	the	DET
iajs-2141	42	5	necessary	necessary	ADJ
iajs-2141	42	6	conditions	condition	NOUN
iajs-2141	42	7	for	for	ADP
iajs-2141	42	8	dcocp	dcocp	NOUN
iajs-2141	42	9	):	):	PUNCT
iajs-2141	42	10	the	the	DET
iajs-2141	42	11	discrete	discrete	ADJ
iajs-2141	42	12	classical	classical	ADJ
iajs-2141	42	13	adjoint	adjoint	NOUN
iajs-2141	42	14	state	state	NOUN
iajs-2141	42	15	=	=	PRON
iajs-2141	42	16	is	be	AUX
iajs-2141	42	17	given	give	VERB
iajs-2141	42	18	by	by	ADP
iajs-2141	42	19	(	(	PUNCT
iajs-2141	42	20	for	for	ADP
iajs-2141	42	21	)	)	PUNCT
iajs-2141	42	22	(	(	PUNCT
iajs-2141	42	23	)	)	PUNCT
iajs-2141	42	24	(	(	PUNCT
iajs-2141	42	25	)	)	PUNCT
iajs-2141	42	26	(	(	PUNCT
iajs-2141	42	27	)	)	PUNCT
iajs-2141	42	28	(	(	PUNCT
iajs-2141	42	29	)	)	PUNCT
iajs-2141	42	30	(	(	PUNCT
iajs-2141	42	31	14	14	NUM
iajs-2141	42	32	)	)	PUNCT
iajs-2141	42	33	(	(	PUNCT
iajs-2141	42	34	15	15	NUM
iajs-2141	42	35	)	)	PUNCT
iajs-2141	42	36	(	(	PUNCT
iajs-2141	42	37	16	16	NUM
iajs-2141	42	38	)	)	PUNCT
iajs-2141	42	39	where	where	SCONJ
iajs-2141	42	40	,	,	PUNCT
iajs-2141	42	41	(	(	PUNCT
iajs-2141	42	42	the	the	DET
iajs-2141	42	43	discrete	discrete	ADJ
iajs-2141	42	44	directional	directional	ADJ
iajs-2141	42	45	derivative	derivative	NOUN
iajs-2141	42	46	of	of	ADP
iajs-2141	42	47	g	g	PROPN
iajs-2141	42	48	in	in	ADP
iajs-2141	42	49	equation	equation	NOUN
iajs-2141	42	50	(	(	PUNCT
iajs-2141	42	51	13	13	NUM
iajs-2141	42	52	)	)	PUNCT
iajs-2141	42	53	is	be	AUX
iajs-2141	42	54	given	give	VERB
iajs-2141	42	55	by	by	ADP
iajs-2141	42	56	:	:	PUNCT
iajs-2141	42	57	d	d	X
iajs-2141	42	58	(	(	PUNCT
iajs-2141	42	59	(	(	PUNCT
iajs-2141	42	60	)	)	PUNCT
iajs-2141	42	61	)	)	PUNCT
iajs-2141	42	62	,	,	PUNCT
iajs-2141	42	63	(	(	PUNCT
iajs-2141	42	64	17	17	NUM
iajs-2141	42	65	)	)	PUNCT
iajs-2141	42	66	where	where	SCONJ
iajs-2141	42	67	,	,	PUNCT
iajs-2141	42	68	for	for	ADP
iajs-2141	42	69	(	(	PUNCT
iajs-2141	42	70	)	)	PUNCT
iajs-2141	42	71	,	,	PUNCT
iajs-2141	42	72	and	and	CCONJ
iajs-2141	42	73	is	be	AUX
iajs-2141	42	74	called	call	VERB
iajs-2141	42	75	the	the	DET
iajs-2141	42	76	discrete	discrete	ADJ
iajs-2141	42	77	hamiltonian	hamiltonian	ADJ
iajs-2141	42	78	functional	functional	ADJ
iajs-2141	42	79	.	.	PUNCT
iajs-2141	43	1	remark	remark	NOUN
iajs-2141	43	2	:	:	PUNCT
iajs-2141	43	3	to	to	PART
iajs-2141	43	4	prove	prove	VERB
iajs-2141	43	5	equation	equation	NOUN
iajs-2141	43	6	(	(	PUNCT
iajs-2141	43	7	17	17	NUM
iajs-2141	43	8	)	)	PUNCT
iajs-2141	43	9	is	be	AUX
iajs-2141	43	10	equivalent	equivalent	ADJ
iajs-2141	43	11	to	to	ADP
iajs-2141	43	12	the	the	DET
iajs-2141	43	13	minimum	minimum	ADJ
iajs-2141	43	14	principle	principle	ADJ
iajs-2141	43	15	block	block	NOUN
iajs-2141	43	16	wise	wise	ADJ
iajs-2141	43	17	.	.	PUNCT
iajs-2141	44	1	(	(	PUNCT
iajs-2141	44	2	)	)	PUNCT
iajs-2141	44	3	(	(	PUNCT
iajs-2141	44	4	)	)	PUNCT
iajs-2141	44	5	,	,	PUNCT
iajs-2141	44	6	(	(	PUNCT
iajs-2141	44	7	18	18	NUM
iajs-2141	44	8	)	)	PUNCT
iajs-2141	44	9	let	let	VERB
iajs-2141	44	10	and	and	CCONJ
iajs-2141	44	11	,	,	PUNCT
iajs-2141	44	12	for	for	ADP
iajs-2141	44	13	all	all	DET
iajs-2141	44	14	j	j	PROPN
iajs-2141	44	15	except	except	SCONJ
iajs-2141	44	16	once(say	once(say	ADV
iajs-2141	44	17	)	)	PUNCT
iajs-2141	44	18	i.e.	i.e.	X
iajs-2141	44	19	,	,	PUNCT
iajs-2141	44	20	then	then	ADV
iajs-2141	44	21	,	,	PUNCT
iajs-2141	44	22	since	since	SCONJ
iajs-2141	44	23	is	be	AUX
iajs-2141	44	24	arbitrary	arbitrary	ADJ
iajs-2141	44	25	then	then	ADV
iajs-2141	44	26	we	we	PRON
iajs-2141	44	27	have	have	VERB
iajs-2141	44	28	equation	equation	NOUN
iajs-2141	44	29	(	(	PUNCT
iajs-2141	44	30	18	18	NUM
iajs-2141	44	31	)	)	PUNCT
iajs-2141	44	32	,	,	PUNCT
iajs-2141	44	33	and	and	CCONJ
iajs-2141	44	34	converse	converse	NOUN
iajs-2141	44	35	is	be	AUX
iajs-2141	44	36	very	very	ADV
iajs-2141	44	37	clear	clear	ADJ
iajs-2141	44	38	.	.	PUNCT
iajs-2141	45	1	4	4	X
iajs-2141	45	2	.	.	X
iajs-2141	45	3	the	the	DET
iajs-2141	45	4	gpm	gpm	NOUN
iajs-2141	45	5	method	method	NOUN
iajs-2141	45	6	[	[	X
iajs-2141	45	7	10	10	NUM
iajs-2141	45	8	]	]	PUNCT
iajs-2141	45	9	.	.	PUNCT
iajs-2141	46	1	the	the	DET
iajs-2141	46	2	gpm	gpm	NOUN
iajs-2141	46	3	is	be	AUX
iajs-2141	46	4	an	an	DET
iajs-2141	46	5	iterative	iterative	NOUN
iajs-2141	46	6	method	method	NOUN
iajs-2141	46	7	used	use	VERB
iajs-2141	46	8	to	to	PART
iajs-2141	46	9	find	find	VERB
iajs-2141	46	10	the	the	DET
iajs-2141	46	11	point	point	NOUN
iajs-2141	46	12	that	that	PRON
iajs-2141	46	13	minimizes	minimize	VERB
iajs-2141	46	14	the	the	DET
iajs-2141	46	15	problem	problem	NOUN
iajs-2141	46	16	.	.	PUNCT
iajs-2141	47	1	the	the	DET
iajs-2141	47	2	following	follow	VERB
iajs-2141	47	3	algorithms	algorithm	NOUN
iajs-2141	47	4	describe	describe	VERB
iajs-2141	47	5	the	the	DET
iajs-2141	47	6	gp	gp	NOUN
iajs-2141	47	7	,	,	PUNCT
iajs-2141	47	8	gparm	gparm	ADJ
iajs-2141	47	9	and	and	CCONJ
iajs-2141	47	10	gposm	gposm	VERB
iajs-2141	47	11	;	;	PUNCT
iajs-2141	47	12	we	we	PRON
iajs-2141	47	13	will	will	AUX
iajs-2141	47	14	use	use	VERB
iajs-2141	47	15	the	the	DET
iajs-2141	47	16	norm	norm	NOUN
iajs-2141	47	17	with	with	ADP
iajs-2141	47	18	respect	respect	NOUN
iajs-2141	47	19	to	to	ADP
iajs-2141	47	20	vector	vector	NOUN
iajs-2141	47	21	space	space	NOUN
iajs-2141	47	22	q.	q.	PROPN
iajs-2141	47	23	4.1	4.1	NUM
iajs-2141	47	24	.	.	PUNCT
iajs-2141	48	1	the	the	DET
iajs-2141	48	2	basic	basic	ADJ
iajs-2141	48	3	algorithm	algorithm	NOUN
iajs-2141	48	4	gpm	gpm	NOUN
iajs-2141	48	5	[	[	X
iajs-2141	48	6	10	10	NUM
iajs-2141	48	7	]	]	PUNCT
iajs-2141	48	8	let	let	VERB
iajs-2141	48	9	q	q	PART
iajs-2141	48	10	be	be	AUX
iajs-2141	48	11	a	a	DET
iajs-2141	48	12	hilbert	hilbert	NOUN
iajs-2141	48	13	space	space	NOUN
iajs-2141	48	14	,	,	PUNCT
iajs-2141	48	15	is	be	AUX
iajs-2141	48	16	a	a	DET
iajs-2141	48	17	convex	convex	NOUN
iajs-2141	48	18	subset	subset	NOUN
iajs-2141	48	19	of	of	ADP
iajs-2141	48	20	an	an	DET
iajs-2141	48	21	open	open	ADJ
iajs-2141	48	22	set	set	NOUN
iajs-2141	48	23	,	,	PUNCT
iajs-2141	48	24	,	,	PUNCT
iajs-2141	48	25	and	and	CCONJ
iajs-2141	48	26	let	let	VERB
iajs-2141	48	27	,	,	PUNCT
iajs-2141	48	28	be	be	AUX
iajs-2141	48	29	a	a	DET
iajs-2141	48	30	sequence	sequence	NOUN
iajs-2141	48	31	with	with	ADP
iajs-2141	48	32	,	,	PUNCT
iajs-2141	48	33	for	for	ADP
iajs-2141	48	34	each	each	PRON
iajs-2141	48	35	,	,	PUNCT
iajs-2141	48	36	and	and	CCONJ
iajs-2141	48	37	let	let	AUX
iajs-2141	48	38	be	be	AUX
iajs-2141	48	39	an	an	DET
iajs-2141	48	40	initial	initial	ADJ
iajs-2141	48	41	classical	classical	ADJ
iajs-2141	48	42	control	control	NOUN
iajs-2141	48	43	,	,	PUNCT
iajs-2141	48	44	(	(	PUNCT
iajs-2141	48	45	1	1	X
iajs-2141	48	46	)	)	PUNCT
iajs-2141	48	47	find	find	VERB
iajs-2141	48	48	a	a	DET
iajs-2141	48	49	direction	direction	NOUN
iajs-2141	48	50	point	point	NOUN
iajs-2141	48	51	and	and	CCONJ
iajs-2141	48	52	set	set	VERB
iajs-2141	48	53	=	=	NOUN
iajs-2141	48	54			NUM
iajs-2141	48	55	−	−	NOUN
iajs-2141	48	56	(	(	PUNCT
iajs-2141	48	57	2	2	X
iajs-2141	48	58	)	)	PUNCT
iajs-2141	48	59	set	set	NOUN
iajs-2141	48	60	:	:	PUNCT
iajs-2141	48	61	=	=	SYM
iajs-2141	48	62	max	max	PROPN
iajs-2141	48	63	subject	subject	NOUN
iajs-2141	48	64	to	to	ADP
iajs-2141	48	65	(	(	PUNCT
iajs-2141	48	66	3	3	X
iajs-2141	48	67	)	)	PUNCT
iajs-2141	48	68	set	set	VERB
iajs-2141	48	69	17	17	NUM
iajs-2141	48	70	ibn	ibn	PROPN
iajs-2141	48	71	al	al	PROPN
iajs-2141	48	72	-	-	PUNCT
iajs-2141	48	73	haitham	haitham	PROPN
iajs-2141	48	74	jour	jour	X
iajs-2141	48	75	.	.	PROPN
iajs-2141	49	1	for	for	ADP
iajs-2141	49	2	pure	pure	ADJ
iajs-2141	49	3	&	&	CCONJ
iajs-2141	49	4	appl	appl	PROPN
iajs-2141	49	5	.	.	PUNCT
iajs-2141	50	1	sci	sci	PROPN
iajs-2141	50	2	.	.	PROPN
iajs-2141	50	3	32	32	NUM
iajs-2141	50	4	(	(	PUNCT
iajs-2141	50	5	2	2	NUM
iajs-2141	50	6	)	)	PUNCT
iajs-2141	50	7	2019	2019	NUM
iajs-2141	50	8	4.2	4.2	NUM
iajs-2141	50	9	.	.	PUNCT
iajs-2141	51	1	algorithm	algorithm	NOUN
iajs-2141	52	1	[	[	X
iajs-2141	52	2	10	10	NUM
iajs-2141	52	3	]	]	PUNCT
iajs-2141	52	4	let	let	VERB
iajs-2141	52	5	q	q	PART
iajs-2141	52	6	be	be	AUX
iajs-2141	52	7	a	a	DET
iajs-2141	52	8	hilbert	hilbert	NOUN
iajs-2141	52	9	space	space	NOUN
iajs-2141	52	10	,	,	PUNCT
iajs-2141	52	11	is	be	AUX
iajs-2141	52	12	a	a	DET
iajs-2141	52	13	convex	convex	NOUN
iajs-2141	52	14	subset	subset	NOUN
iajs-2141	52	15	of	of	ADP
iajs-2141	52	16	an	an	DET
iajs-2141	52	17	open	open	ADJ
iajs-2141	52	18	set	set	NOUN
iajs-2141	52	19	,	,	PUNCT
iajs-2141	52	20	,	,	PUNCT
iajs-2141	52	21	and	and	CCONJ
iajs-2141	52	22	let	let	VERB
iajs-2141	52	23	,	,	PUNCT
iajs-2141	52	24	,	,	PUNCT
iajs-2141	52	25	be	be	AUX
iajs-2141	52	26	a	a	DET
iajs-2141	52	27	sequence	sequence	NOUN
iajs-2141	52	28	with	with	ADP
iajs-2141	52	29	,	,	PUNCT
iajs-2141	52	30	for	for	ADP
iajs-2141	52	31	each	each	PRON
iajs-2141	52	32	.	.	PUNCT
iajs-2141	53	1	,	,	PUNCT
iajs-2141	53	2	and	and	CCONJ
iajs-2141	53	3	let	let	AUX
iajs-2141	53	4	be	be	AUX
iajs-2141	53	5	an	an	DET
iajs-2141	53	6	initial	initial	ADJ
iajs-2141	53	7	control	control	NOUN
iajs-2141	53	8	.	.	PUNCT
iajs-2141	54	1	step1	step1	PROPN
iajs-2141	54	2	:	:	PUNCT
iajs-2141	54	3	set	set	VERB
iajs-2141	54	4	,	,	PUNCT
iajs-2141	54	5	solve	solve	VERB
iajs-2141	54	6	the	the	DET
iajs-2141	54	7	system	system	NOUN
iajs-2141	54	8	of	of	ADP
iajs-2141	54	9	the	the	DET
iajs-2141	54	10	wf	wf	PROPN
iajs-2141	54	11	(	(	PUNCT
iajs-2141	54	12	9	9	NUM
iajs-2141	54	13	-	-	SYM
iajs-2141	54	14	12	12	NUM
iajs-2141	54	15	)	)	PUNCT
iajs-2141	54	16	(	(	PUNCT
iajs-2141	54	17	the	the	DET
iajs-2141	54	18	system	system	NOUN
iajs-2141	54	19	of	of	ADP
iajs-2141	54	20	the	the	DET
iajs-2141	54	21	adjoint	adjoint	NOUN
iajs-2141	54	22	wf	wf	PROPN
iajs-2141	54	23	(	(	PUNCT
iajs-2141	54	24	14	14	NUM
iajs-2141	54	25	-	-	SYM
iajs-2141	54	26	16	16	NUM
iajs-2141	54	27	)	)	PUNCT
iajs-2141	54	28	)	)	PUNCT
iajs-2141	54	29	by	by	ADP
iajs-2141	54	30	gfem	gfem	VERB
iajs-2141	54	31	to	to	PART
iajs-2141	54	32	get	get	VERB
iajs-2141	54	33	(	(	PUNCT
iajs-2141	54	34	,	,	PUNCT
iajs-2141	54	35	and	and	CCONJ
iajs-2141	54	36	then	then	ADV
iajs-2141	54	37	calculate	calculate	VERB
iajs-2141	54	38	from	from	ADP
iajs-2141	54	39	equation	equation	NOUN
iajs-2141	54	40	(	(	PUNCT
iajs-2141	54	41	17	17	NUM
iajs-2141	54	42	)	)	PUNCT
iajs-2141	54	43	and	and	CCONJ
iajs-2141	54	44	from	from	ADP
iajs-2141	54	45	equation	equation	NOUN
iajs-2141	54	46	(	(	PUNCT
iajs-2141	54	47	13	13	NUM
iajs-2141	54	48	)	)	PUNCT
iajs-2141	54	49	.	.	PUNCT
iajs-2141	55	1	step	step	NOUN
iajs-2141	55	2	2	2	NUM
iajs-2141	55	3	:	:	PUNCT
iajs-2141	55	4	find	find	VERB
iajs-2141	55	5	a	a	DET
iajs-2141	55	6	direction	direction	NOUN
iajs-2141	55	7	point	point	NOUN
iajs-2141	55	8	,	,	PUNCT
iajs-2141	55	9	(	(	PUNCT
iajs-2141	55	10	i.e.	i.e.	X
iajs-2141	55	11	a	a	DET
iajs-2141	55	12	direction	direction	NOUN
iajs-2141	55	13	)	)	PUNCT
iajs-2141	55	14	by	by	ADP
iajs-2141	55	15	applying	apply	VERB
iajs-2141	55	16	the	the	DET
iajs-2141	55	17	gpm	gpm	NOUN
iajs-2141	55	18	as	as	SCONJ
iajs-2141	55	19	follows	follow	VERB
iajs-2141	55	20	:	:	PUNCT
iajs-2141	55	21	find	find	VERB
iajs-2141	55	22	the	the	DET
iajs-2141	55	23	unique	unique	ADJ
iajs-2141	55	24	,	,	PUNCT
iajs-2141	55	25	such	such	ADJ
iajs-2141	55	26	that	that	DET
iajs-2141	55	27	step	step	NOUN
iajs-2141	55	28	3	3	NUM
iajs-2141	55	29	:	:	PUNCT
iajs-2141	55	30	solve	solve	VERB
iajs-2141	55	31	the	the	DET
iajs-2141	55	32	system	system	NOUN
iajs-2141	55	33	of	of	ADP
iajs-2141	55	34	the	the	DET
iajs-2141	55	35	wf	wf	PROPN
iajs-2141	55	36	(	(	PUNCT
iajs-2141	55	37	9	9	NUM
iajs-2141	55	38	-	-	SYM
iajs-2141	55	39	12	12	NUM
iajs-2141	55	40	)	)	PUNCT
iajs-2141	55	41	to	to	PART
iajs-2141	55	42	find	find	VERB
iajs-2141	55	43	the	the	DET
iajs-2141	55	44	new	new	ADJ
iajs-2141	55	45	state	state	NOUN
iajs-2141	55	46	corresponding	correspond	VERB
iajs-2141	55	47	to	to	ADP
iajs-2141	55	48	the	the	DET
iajs-2141	55	49	new	new	ADJ
iajs-2141	55	50	control	control	NOUN
iajs-2141	55	51	.	.	PUNCT
iajs-2141	56	1	step	step	NOUN
iajs-2141	56	2	4	4	NUM
iajs-2141	56	3	:	:	PUNCT
iajs-2141	56	4	choose	choose	VERB
iajs-2141	56	5	using	use	VERB
iajs-2141	56	6	one	one	NUM
iajs-2141	56	7	of	of	ADP
iajs-2141	56	8	the	the	DET
iajs-2141	56	9	following	following	ADJ
iajs-2141	56	10	methods	method	NOUN
iajs-2141	56	11	:	:	PUNCT
iajs-2141	56	12	arm	arm	NOUN
iajs-2141	56	13	:	:	PUNCT
iajs-2141	56	14	assume	assume	VERB
iajs-2141	56	15	an	an	DET
iajs-2141	56	16	initial	initial	ADJ
iajs-2141	56	17	value	value	NOUN
iajs-2141	56	18	.	.	PUNCT
iajs-2141	57	1	find	find	VERB
iajs-2141	57	2	the	the	PRON
iajs-2141	57	3	(	(	PUNCT
iajs-2141	57	4	)	)	PUNCT
iajs-2141	57	5	from	from	ADP
iajs-2141	57	6	equation	equation	NOUN
iajs-2141	57	7	(	(	PUNCT
iajs-2141	57	8	13	13	NUM
iajs-2141	57	9	)	)	PUNCT
iajs-2141	57	10	.	.	PUNCT
iajs-2141	58	1	if	if	SCONJ
iajs-2141	58	2	satisfies	satisfy	VERB
iajs-2141	58	3	the	the	DET
iajs-2141	58	4	inequality	inequality	NOUN
iajs-2141	58	5	(	(	PUNCT
iajs-2141	58	6	)	)	PUNCT
iajs-2141	58	7	we	we	PRON
iajs-2141	58	8	set	set	VERB
iajs-2141	58	9	⁄	⁄	PROPN
iajs-2141	58	10	,	,	PUNCT
iajs-2141	58	11	and	and	CCONJ
iajs-2141	58	12	choose	choose	VERB
iajs-2141	58	13	for	for	ADP
iajs-2141	58	14	,	,	PUNCT
iajs-2141	58	15	the	the	DET
iajs-2141	58	16	last	last	ADJ
iajs-2141	58	17	)	)	PUNCT
iajs-2141	58	18	that	that	PRON
iajs-2141	58	19	satisfies	satisfy	VERB
iajs-2141	58	20	the	the	DET
iajs-2141	58	21	above	above	ADJ
iajs-2141	58	22	inequality	inequality	NOUN
iajs-2141	58	23	.	.	PUNCT
iajs-2141	59	1	if	if	SCONJ
iajs-2141	59	2	unsatisfied	unsatisfie	VERB
iajs-2141	59	3	,	,	PUNCT
iajs-2141	59	4	set	set	VERB
iajs-2141	59	5	,	,	PUNCT
iajs-2141	59	6	and	and	CCONJ
iajs-2141	59	7	choose	choose	VERB
iajs-2141	59	8	for	for	ADP
iajs-2141	59	9	the	the	DET
iajs-2141	59	10	first	first	ADJ
iajs-2141	59	11	that	that	PRON
iajs-2141	59	12	satisfies	satisfy	VERB
iajs-2141	59	13	this	this	DET
iajs-2141	59	14	inequality	inequality	NOUN
iajs-2141	59	15	.	.	PUNCT
iajs-2141	60	1	opsm	opsm	PROPN
iajs-2141	60	2	:	:	PUNCT
iajs-2141	60	3	find	find	VERB
iajs-2141	60	4	an	an	DET
iajs-2141	60	5	,	,	PUNCT
iajs-2141	60	6	such	such	ADJ
iajs-2141	60	7	that	that	SCONJ
iajs-2141	60	8	(	(	PUNCT
iajs-2141	60	9	)	)	PUNCT
iajs-2141	60	10	step	step	NOUN
iajs-2141	60	11	5	5	NUM
iajs-2141	60	12	:	:	PUNCT
iajs-2141	60	13	set	set	VERB
iajs-2141	60	14	,	,	PUNCT
iajs-2141	60	15	and	and	CCONJ
iajs-2141	60	16	we	we	PRON
iajs-2141	60	17	go	go	VERB
iajs-2141	60	18	to	to	PART
iajs-2141	60	19	step	step	VERB
iajs-2141	60	20	2	2	NUM
iajs-2141	60	21	.	.	PUNCT
iajs-2141	60	22	practically	practically	ADV
iajs-2141	60	23	the	the	DET
iajs-2141	60	24	arm	arm	NOUN
iajs-2141	60	25	is	be	AUX
iajs-2141	60	26	faster	fast	ADJ
iajs-2141	60	27	and	and	CCONJ
iajs-2141	60	28	is	be	AUX
iajs-2141	60	29	a	a	DET
iajs-2141	60	30	finite	finite	ADJ
iajs-2141	60	31	procedure	procedure	NOUN
iajs-2141	60	32	than	than	ADP
iajs-2141	60	33	opsm	opsm	NOUN
iajs-2141	60	34	.	.	PUNCT
iajs-2141	61	1	the	the	DET
iajs-2141	61	2	following	follow	VERB
iajs-2141	61	3	examples	example	NOUN
iajs-2141	61	4	are	be	AUX
iajs-2141	61	5	solved	solve	VERB
iajs-2141	61	6	by	by	ADP
iajs-2141	61	7	using	use	VERB
iajs-2141	61	8	the	the	DET
iajs-2141	61	9	above	above	ADJ
iajs-2141	61	10	algorithm	algorithm	NOUN
iajs-2141	61	11	;	;	PUNCT
iajs-2141	61	12	a	a	DET
iajs-2141	61	13	computer	computer	NOUN
iajs-2141	61	14	program	program	NOUN
iajs-2141	61	15	in	in	ADP
iajs-2141	61	16	mat	mat	NOUN
iajs-2141	61	17	lab	lab	NOUN
iajs-2141	61	18	software	software	NOUN
iajs-2141	61	19	version	version	NOUN
iajs-2141	61	20	8.1.0.604	8.1.0.604	NUM
iajs-2141	61	21	is	be	AUX
iajs-2141	61	22	coded	code	VERB
iajs-2141	61	23	.	.	PUNCT
iajs-2141	62	1	the	the	DET
iajs-2141	62	2	solution	solution	NOUN
iajs-2141	62	3	and	and	CCONJ
iajs-2141	62	4	in	in	ADP
iajs-2141	62	5	step	step	NOUN
iajs-2141	62	6	(	(	PUNCT
iajs-2141	62	7	1	1	X
iajs-2141	62	8	)	)	PUNCT
iajs-2141	62	9	are	be	AUX
iajs-2141	62	10	found	find	VERB
iajs-2141	62	11	using	use	VERB
iajs-2141	62	12	the	the	DET
iajs-2141	62	13	gfem	gfem	NOUN
iajs-2141	62	14	with	with	ADP
iajs-2141	62	15	,	,	PUNCT
iajs-2141	62	16	(	(	PUNCT
iajs-2141	62	17	)	)	PUNCT
iajs-2141	62	18	,	,	PUNCT
iajs-2141	62	19	the	the	DET
iajs-2141	62	20	parameters	parameter	NOUN
iajs-2141	62	21	in	in	ADP
iajs-2141	62	22	arm	arm	NOUN
iajs-2141	62	23	are	be	AUX
iajs-2141	62	24	taken	take	VERB
iajs-2141	62	25	the	the	DET
iajs-2141	62	26	value	value	NOUN
iajs-2141	62	27	,	,	PUNCT
iajs-2141	62	28	and	and	CCONJ
iajs-2141	62	29	the	the	DET
iajs-2141	62	30	parameter	parameter	NOUN
iajs-2141	62	31	0.5	0.5	NUM
iajs-2141	62	32	in	in	ADP
iajs-2141	62	33	the	the	DET
iajs-2141	62	34	gpm	gpm	NOUN
iajs-2141	62	35	.	.	PROPN
iajs-2141	62	36	5	5	NUM
iajs-2141	62	37	.	.	X
iajs-2141	62	38	numerical	numerical	ADJ
iajs-2141	62	39	examples	example	NOUN
iajs-2141	62	40	example	example	NOUN
iajs-2141	62	41	1	1	NUM
iajs-2141	62	42	:	:	PUNCT
iajs-2141	62	43	consider	consider	VERB
iajs-2141	62	44	the	the	DET
iajs-2141	62	45	following	follow	VERB
iajs-2141	62	46	classical	classical	ADJ
iajs-2141	62	47	optimal	optimal	ADJ
iajs-2141	62	48	control	control	NOUN
iajs-2141	62	49	problem	problem	NOUN
iajs-2141	62	50	(	(	PUNCT
iajs-2141	62	51	cocp	cocp	NOUN
iajs-2141	62	52	)	)	PUNCT
iajs-2141	62	53	associated	associate	VERB
iajs-2141	62	54	with	with	ADP
iajs-2141	62	55	the	the	DET
iajs-2141	62	56	linear	linear	ADJ
iajs-2141	62	57	hyperbolic	hyperbolic	ADJ
iajs-2141	62	58	equation	equation	NOUN
iajs-2141	62	59	:	:	PUNCT
iajs-2141	63	1	⃗	⃗	PROPN
iajs-2141	63	2	,	,	PUNCT
iajs-2141	63	3	in	in	ADV
iajs-2141	63	4	,	,	PUNCT
iajs-2141	63	5	⃗	⃗	PROPN
iajs-2141	63	6	⃗	⃗	PROPN
iajs-2141	63	7	,	,	PUNCT
iajs-2141	63	8	in	in	ADP
iajs-2141	63	9	=	=	PUNCT
iajs-2141	63	10	.	.	PUNCT
iajs-2141	64	1	and	and	CCONJ
iajs-2141	64	2	the	the	DET
iajs-2141	64	3	(	(	PUNCT
iajs-2141	64	4	ics	ic	NOUN
iajs-2141	64	5	)	)	PUNCT
iajs-2141	64	6	⃗	⃗	PROPN
iajs-2141	64	7	,	,	PUNCT
iajs-2141	64	8	in	in	ADP
iajs-2141	64	9	⃗	⃗	PROPN
iajs-2141	64	10	,	,	PUNCT
iajs-2141	64	11	in	in	ADP
iajs-2141	64	12	where	where	SCONJ
iajs-2141	64	13	[	[	X
iajs-2141	64	14	0,1	0,1	NOUN
iajs-2141	64	15	]	]	PUNCT
iajs-2141	64	16	,	,	PUNCT
iajs-2141	64	17	,	,	PUNCT
iajs-2141	64	18	and	and	CCONJ
iajs-2141	64	19	⃗	⃗	PROPN
iajs-2141	64	20	the	the	DET
iajs-2141	64	21	control	control	NOUN
iajs-2141	64	22	constraint	constraint	NOUN
iajs-2141	64	23	is	be	AUX
iajs-2141	64	24	and	and	CCONJ
iajs-2141	64	25	the	the	DET
iajs-2141	64	26	cost	cost	NOUN
iajs-2141	64	27	functional	functional	NOUN
iajs-2141	64	28	is	be	AUX
iajs-2141	64	29	given	give	VERB
iajs-2141	64	30	by	by	ADP
iajs-2141	64	31	:	:	PUNCT
iajs-2141	64	32	=	=	NUM
iajs-2141	64	33	∫	∫	PROPN
iajs-2141	64	34	⃗	⃗	PROPN
iajs-2141	64	35	,	,	PUNCT
iajs-2141	64	36	where	where	SCONJ
iajs-2141	64	37	⃗	⃗	PROPN
iajs-2141	64	38	and	and	CCONJ
iajs-2141	64	39	⃗	⃗	PROPN
iajs-2141	64	40	are	be	AUX
iajs-2141	64	41	the	the	DET
iajs-2141	64	42	desired	desire	VERB
iajs-2141	64	43	state	state	NOUN
iajs-2141	64	44	and	and	CCONJ
iajs-2141	64	45	control	control	NOUN
iajs-2141	64	46	and	and	CCONJ
iajs-2141	64	47	are	be	AUX
iajs-2141	64	48	given	give	VERB
iajs-2141	64	49	by	by	ADP
iajs-2141	64	50	⃗	⃗	PROPN
iajs-2141	64	51	,	,	PUNCT
iajs-2141	64	52	⃗	⃗	PROPN
iajs-2141	64	53	,	,	PUNCT
iajs-2141	64	54	and	and	CCONJ
iajs-2141	64	55	17	17	NUM
iajs-2141	64	56	ibn	ibn	PROPN
iajs-2141	64	57	al	al	PROPN
iajs-2141	64	58	-	-	PUNCT
iajs-2141	64	59	haitham	haitham	PROPN
iajs-2141	64	60	jour	jour	X
iajs-2141	64	61	.	.	PROPN
iajs-2141	65	1	for	for	ADP
iajs-2141	65	2	pure	pure	ADJ
iajs-2141	65	3	&	&	CCONJ
iajs-2141	65	4	appl	appl	PROPN
iajs-2141	65	5	.	.	PUNCT
iajs-2141	66	1	sci	sci	PROPN
iajs-2141	66	2	.	.	PROPN
iajs-2141	66	3	32	32	NUM
iajs-2141	66	4	(	(	PUNCT
iajs-2141	66	5	2	2	NUM
iajs-2141	66	6	)	)	PUNCT
iajs-2141	66	7	2019	2019	NUM
iajs-2141	66	8	⃗	⃗	PROPN
iajs-2141	66	9	{	{	PUNCT
iajs-2141	66	10	with	with	ADP
iajs-2141	66	11	the	the	DET
iajs-2141	66	12	initial	initial	ADJ
iajs-2141	66	13	control	control	NOUN
iajs-2141	66	14	,	,	PUNCT
iajs-2141	66	15	⃗	⃗	PROPN
iajs-2141	66	16	,	,	PUNCT
iajs-2141	66	17	⃗	⃗	PROPN
iajs-2141	66	18	algorithm	algorithm	NOUN
iajs-2141	66	19	(	(	PUNCT
iajs-2141	66	20	5.1	5.1	NUM
iajs-2141	66	21	)	)	PUNCT
iajs-2141	66	22	is	be	AUX
iajs-2141	66	23	used	use	VERB
iajs-2141	66	24	here	here	ADV
iajs-2141	66	25	to	to	PART
iajs-2141	66	26	solve	solve	VERB
iajs-2141	66	27	this	this	DET
iajs-2141	66	28	problem	problem	NOUN
iajs-2141	66	29	.	.	PUNCT
iajs-2141	67	1	the	the	DET
iajs-2141	67	2	following	follow	VERB
iajs-2141	67	3	figures	figure	NOUN
iajs-2141	67	4	are	be	AUX
iajs-2141	67	5	represented	represent	VERB
iajs-2141	67	6	the	the	DET
iajs-2141	67	7	initial	initial	ADJ
iajs-2141	67	8	control	control	NOUN
iajs-2141	67	9	and	and	CCONJ
iajs-2141	67	10	its	its	PRON
iajs-2141	67	11	corresponding	corresponding	ADJ
iajs-2141	67	12	state	state	NOUN
iajs-2141	67	13	.	.	PUNCT
iajs-2141	68	1	figure	figure	NOUN
iajs-2141	68	2	1	1	NUM
iajs-2141	68	3	.	.	PUNCT
iajs-2141	68	4	initial	initial	ADJ
iajs-2141	68	5	control	control	NOUN
iajs-2141	68	6	at	at	ADP
iajs-2141	68	7	t=0.5	t=0.5	ADJ
iajs-2141	68	8	.	.	PUNCT
iajs-2141	69	1	figure	figure	NOUN
iajs-2141	69	2	2	2	NUM
iajs-2141	69	3	.	.	PUNCT
iajs-2141	69	4	corresponding	correspond	VERB
iajs-2141	69	5	state	state	NOUN
iajs-2141	69	6	(	(	PUNCT
iajs-2141	69	7	of	of	ADP
iajs-2141	69	8	initial	initial	ADJ
iajs-2141	69	9	control).at	control).at	NOUN
iajs-2141	69	10	t=	t=	ADJ
iajs-2141	69	11	0.5	0.5	NUM
iajs-2141	69	12	.	.	PUNCT
iajs-2141	70	1	depending	depend	VERB
iajs-2141	70	2	on	on	ADP
iajs-2141	70	3	the	the	DET
iajs-2141	70	4	above	above	ADJ
iajs-2141	70	5	initial	initial	ADJ
iajs-2141	70	6	control	control	NOUN
iajs-2141	70	7	and	and	CCONJ
iajs-2141	70	8	its	its	PRON
iajs-2141	70	9	corresponding	corresponding	ADJ
iajs-2141	70	10	state	state	NOUN
iajs-2141	70	11	,	,	PUNCT
iajs-2141	70	12	we	we	PRON
iajs-2141	70	13	get	get	VERB
iajs-2141	70	14	:	:	PUNCT
iajs-2141	70	15	(	(	PUNCT
iajs-2141	70	16	i	i	NOUN
iajs-2141	70	17	)	)	PUNCT
iajs-2141	70	18	the	the	DET
iajs-2141	70	19	gparm	gparm	NOUN
iajs-2141	70	20	,	,	PUNCT
iajs-2141	70	21	after	after	SCONJ
iajs-2141	70	22	6	6	NUM
iajs-2141	70	23	iterations	iteration	NOUN
iajs-2141	70	24	is	be	AUX
iajs-2141	70	25	used	use	VERB
iajs-2141	70	26	to	to	PART
iajs-2141	70	27	get	get	VERB
iajs-2141	70	28	the	the	DET
iajs-2141	70	29	optimal	optimal	ADJ
iajs-2141	70	30	control	control	NOUN
iajs-2141	70	31	and	and	CCONJ
iajs-2141	70	32	its	its	PRON
iajs-2141	70	33	corresponding	corresponding	ADJ
iajs-2141	70	34	state	state	NOUN
iajs-2141	70	35	,	,	PUNCT
iajs-2141	70	36	the	the	DET
iajs-2141	70	37	results	result	NOUN
iajs-2141	70	38	show	show	VERB
iajs-2141	70	39	with	with	ADP
iajs-2141	70	40	=	=	NOUN
iajs-2141	70	41	5.9085e-08	5.9085e-08	NOUN
iajs-2141	70	42	,	,	PUNCT
iajs-2141	70	43	6.6150e-04	6.6150e-04	NUM
iajs-2141	70	44	,	,	PUNCT
iajs-2141	70	45	and	and	CCONJ
iajs-2141	70	46	=	=	NOUN
iajs-2141	70	47	7.6800e-05	7.6800e-05	NUM
iajs-2141	70	48	where	where	SCONJ
iajs-2141	70	49	and	and	CCONJ
iajs-2141	70	50	are	be	AUX
iajs-2141	70	51	the	the	DET
iajs-2141	70	52	discrete	discrete	ADJ
iajs-2141	70	53	maximum	maximum	ADJ
iajs-2141	70	54	error	error	NOUN
iajs-2141	70	55	of	of	ADP
iajs-2141	70	56	the	the	DET
iajs-2141	70	57	state	state	NOUN
iajs-2141	70	58	and	and	CCONJ
iajs-2141	70	59	the	the	DET
iajs-2141	70	60	control	control	NOUN
iajs-2141	70	61	respectively	respectively	ADV
iajs-2141	70	62	.	.	PUNCT
iajs-2141	71	1	the	the	DET
iajs-2141	71	2	following	follow	VERB
iajs-2141	71	3	figures	figure	NOUN
iajs-2141	71	4	represent	represent	VERB
iajs-2141	71	5	the	the	DET
iajs-2141	71	6	optimal	optimal	ADJ
iajs-2141	71	7	control	control	NOUN
iajs-2141	71	8	and	and	CCONJ
iajs-2141	71	9	its	its	PRON
iajs-2141	71	10	corresponding	correspond	VERB
iajs-2141	71	11	state	state	NOUN
iajs-2141	71	12	which	which	PRON
iajs-2141	71	13	are	be	AUX
iajs-2141	71	14	obtained	obtain	VERB
iajs-2141	71	15	by	by	ADP
iajs-2141	71	16	using	use	VERB
iajs-2141	71	17	gparm	gparm	NOUN
iajs-2141	71	18	.	.	PUNCT
iajs-2141	72	1	figure	figure	VERB
iajs-2141	72	2	3	3	NUM
iajs-2141	72	3	.	.	PUNCT
iajs-2141	72	4	optimal	optimal	ADJ
iajs-2141	72	5	control	control	NOUN
iajs-2141	72	6	at	at	ADP
iajs-2141	72	7	t=0.5	t=0.5	ADJ
iajs-2141	72	8	.	.	PUNCT
iajs-2141	73	1	11	11	NUM
iajs-2141	73	2	ibn	ibn	PROPN
iajs-2141	73	3	al	al	PROPN
iajs-2141	73	4	-	-	PUNCT
iajs-2141	73	5	haitham	haitham	PROPN
iajs-2141	73	6	jour	jour	X
iajs-2141	73	7	.	.	PROPN
iajs-2141	73	8	for	for	ADP
iajs-2141	73	9	pure	pure	ADJ
iajs-2141	73	10	&	&	CCONJ
iajs-2141	73	11	appl	appl	PROPN
iajs-2141	73	12	.	.	PUNCT
iajs-2141	74	1	sci	sci	PROPN
iajs-2141	74	2	.	.	PROPN
iajs-2141	74	3	32	32	NUM
iajs-2141	74	4	(	(	PUNCT
iajs-2141	74	5	2	2	NUM
iajs-2141	74	6	)	)	PUNCT
iajs-2141	74	7	2019	2019	NUM
iajs-2141	74	8	figure	figure	NOUN
iajs-2141	74	9	4	4	NUM
iajs-2141	74	10	.	.	PUNCT
iajs-2141	74	11	corresponding	correspond	VERB
iajs-2141	74	12	state	state	NOUN
iajs-2141	74	13	(	(	PUNCT
iajs-2141	74	14	of	of	ADP
iajs-2141	74	15	optimal	optimal	ADJ
iajs-2141	74	16	control	control	NOUN
iajs-2141	74	17	)	)	PUNCT
iajs-2141	74	18	at	at	ADP
iajs-2141	74	19	t=	t=	PROPN
iajs-2141	74	20	0.5	0.5	NUM
iajs-2141	74	21	.	.	PUNCT
iajs-2141	74	22	(	(	PUNCT
iajs-2141	74	23	ii	ii	NOUN
iajs-2141	74	24	)	)	PUNCT
iajs-2141	74	25	the	the	DET
iajs-2141	74	26	gposm	gposm	NOUN
iajs-2141	74	27	,	,	PUNCT
iajs-2141	74	28	after	after	SCONJ
iajs-2141	74	29	2	2	NUM
iajs-2141	74	30	iterations	iteration	NOUN
iajs-2141	74	31	is	be	AUX
iajs-2141	74	32	used	use	VERB
iajs-2141	74	33	to	to	PART
iajs-2141	74	34	obtain	obtain	VERB
iajs-2141	74	35	the	the	DET
iajs-2141	74	36	optimal	optimal	ADJ
iajs-2141	74	37	control	control	NOUN
iajs-2141	74	38	and	and	CCONJ
iajs-2141	74	39	its	its	PRON
iajs-2141	74	40	corresponding	corresponding	ADJ
iajs-2141	74	41	state	state	NOUN
iajs-2141	74	42	,	,	PUNCT
iajs-2141	74	43	with	with	ADP
iajs-2141	74	44	:	:	PUNCT
iajs-2141	74	45	=	=	SYM
iajs-2141	74	46	5.8424e-08	5.8424e-08	NUM
iajs-2141	74	47	,	,	PUNCT
iajs-2141	74	48	6.6150e-04	6.6150e-04	NUM
iajs-2141	74	49	,	,	PUNCT
iajs-2141	74	50	and	and	CCONJ
iajs-2141	74	51	=	=	NOUN
iajs-2141	74	52	7.1644e-05	7.1644e-05	NUM
iajs-2141	74	53	the	the	DET
iajs-2141	74	54	following	follow	VERB
iajs-2141	74	55	figures	figure	NOUN
iajs-2141	74	56	are	be	AUX
iajs-2141	74	57	posted	post	VERB
iajs-2141	74	58	by	by	ADP
iajs-2141	74	59	using	use	VERB
iajs-2141	74	60	gposm	gposm	NOUN
iajs-2141	74	61	and	and	CCONJ
iajs-2141	74	62	are	be	AUX
iajs-2141	74	63	represented	represent	VERB
iajs-2141	74	64	the	the	DET
iajs-2141	74	65	optimal	optimal	ADJ
iajs-2141	74	66	control	control	NOUN
iajs-2141	74	67	and	and	CCONJ
iajs-2141	74	68	its	its	PRON
iajs-2141	74	69	corresponding	corresponding	ADJ
iajs-2141	74	70	state	state	NOUN
iajs-2141	74	71	.	.	PUNCT
iajs-2141	75	1	figure	figure	NOUN
iajs-2141	75	2	5	5	NUM
iajs-2141	75	3	.	.	PUNCT
iajs-2141	75	4	optimal	optimal	ADJ
iajs-2141	75	5	control	control	NOUN
iajs-2141	75	6	at	at	ADP
iajs-2141	75	7	t=0.5	t=0.5	ADV
iajs-2141	75	8	.	.	PUNCT
iajs-2141	76	1	figure	figure	VERB
iajs-2141	76	2	6	6	NUM
iajs-2141	76	3	.	.	PUNCT
iajs-2141	76	4	corresponding	correspond	VERB
iajs-2141	76	5	state	state	NOUN
iajs-2141	76	6	(	(	PUNCT
iajs-2141	76	7	of	of	ADP
iajs-2141	76	8	initial	initial	ADJ
iajs-2141	76	9	control	control	NOUN
iajs-2141	76	10	)	)	PUNCT
iajs-2141	76	11	at	at	ADP
iajs-2141	76	12	t=0.5	t=0.5	ADJ
iajs-2141	76	13	.	.	PUNCT
iajs-2141	76	14	example	example	NOUN
iajs-2141	76	15	2	2	NUM
iajs-2141	76	16	:	:	PUNCT
iajs-2141	76	17	consider	consider	VERB
iajs-2141	76	18	the	the	DET
iajs-2141	76	19	cocp	cocp	NOUN
iajs-2141	76	20	,	,	PUNCT
iajs-2141	76	21	which	which	PRON
iajs-2141	76	22	was	be	AUX
iajs-2141	76	23	considered	consider	VERB
iajs-2141	76	24	in	in	ADP
iajs-2141	76	25	example	example	NOUN
iajs-2141	76	26	1	1	NUM
iajs-2141	76	27	,	,	PUNCT
iajs-2141	76	28	but	but	CCONJ
iajs-2141	76	29	the	the	DET
iajs-2141	76	30	control	control	NOUN
iajs-2141	76	31	constraint	constraint	NOUN
iajs-2141	76	32	is	be	AUX
iajs-2141	76	33	,	,	PUNCT
iajs-2141	76	34	and	and	CCONJ
iajs-2141	76	35	the	the	DET
iajs-2141	76	36	desired	desire	VERB
iajs-2141	76	37	control	control	NOUN
iajs-2141	76	38	is	be	AUX
iajs-2141	76	39	given	give	VERB
iajs-2141	76	40	by	by	ADP
iajs-2141	76	41	⃗	⃗	PROPN
iajs-2141	76	42	with	with	ADP
iajs-2141	76	43	the	the	DET
iajs-2141	76	44	initial	initial	ADJ
iajs-2141	76	45	control	control	NOUN
iajs-2141	76	46	,	,	PUNCT
iajs-2141	76	47	⃗	⃗	PROPN
iajs-2141	76	48	{	{	PUNCT
iajs-2141	76	49	the	the	DET
iajs-2141	76	50	following	follow	VERB
iajs-2141	76	51	figures	figure	NOUN
iajs-2141	76	52	represent	represent	VERB
iajs-2141	76	53	the	the	DET
iajs-2141	76	54	initial	initial	ADJ
iajs-2141	76	55	control	control	NOUN
iajs-2141	76	56	and	and	CCONJ
iajs-2141	76	57	its	its	PRON
iajs-2141	76	58	corresponding	corresponding	ADJ
iajs-2141	76	59	state	state	NOUN
iajs-2141	76	60	.	.	PUNCT
iajs-2141	77	1	17	17	NUM
iajs-2141	78	1	ibn	ibn	PROPN
iajs-2141	78	2	al	al	PROPN
iajs-2141	78	3	-	-	PUNCT
iajs-2141	78	4	haitham	haitham	PROPN
iajs-2141	78	5	jour	jour	X
iajs-2141	78	6	.	.	PROPN
iajs-2141	78	7	for	for	ADP
iajs-2141	78	8	pure	pure	ADJ
iajs-2141	78	9	&	&	CCONJ
iajs-2141	78	10	appl	appl	PROPN
iajs-2141	78	11	.	.	PUNCT
iajs-2141	79	1	sci	sci	PROPN
iajs-2141	79	2	.	.	PROPN
iajs-2141	79	3	32	32	NUM
iajs-2141	79	4	(	(	PUNCT
iajs-2141	79	5	2	2	NUM
iajs-2141	79	6	)	)	PUNCT
iajs-2141	79	7	2019	2019	NUM
iajs-2141	79	8	figure	figure	NOUN
iajs-2141	79	9	7	7	NUM
iajs-2141	79	10	.	.	PUNCT
iajs-2141	79	11	initial	initial	ADJ
iajs-2141	79	12	control	control	NOUN
iajs-2141	79	13	at	at	ADP
iajs-2141	79	14	t=0.5	t=0.5	ADV
iajs-2141	79	15	.	.	PUNCT
iajs-2141	80	1	figure	figure	NOUN
iajs-2141	80	2	8	8	NUM
iajs-2141	80	3	.	.	PUNCT
iajs-2141	81	1	corresponding	correspond	VERB
iajs-2141	81	2	state	state	NOUN
iajs-2141	81	3	(	(	PUNCT
iajs-2141	81	4	of	of	ADP
iajs-2141	81	5	initial	initial	ADJ
iajs-2141	81	6	control).at	control).at	VERB
iajs-2141	81	7	t=0.5	t=0.5	NOUN
iajs-2141	81	8	.	.	PUNCT
iajs-2141	82	1	(	(	PUNCT
iajs-2141	82	2	i	i	NOUN
iajs-2141	82	3	)	)	PUNCT
iajs-2141	82	4	in	in	ADP
iajs-2141	82	5	the	the	DET
iajs-2141	82	6	gparm	gparm	NOUN
iajs-2141	82	7	,	,	PUNCT
iajs-2141	82	8	after	after	SCONJ
iajs-2141	82	9	9	9	NUM
iajs-2141	82	10	iterations	iteration	NOUN
iajs-2141	82	11	is	be	AUX
iajs-2141	82	12	used	use	VERB
iajs-2141	82	13	to	to	PART
iajs-2141	82	14	get	get	VERB
iajs-2141	82	15	the	the	DET
iajs-2141	82	16	optimal	optimal	ADJ
iajs-2141	82	17	control	control	NOUN
iajs-2141	82	18	and	and	CCONJ
iajs-2141	82	19	corresponding	correspond	VERB
iajs-2141	82	20	state	state	NOUN
iajs-2141	82	21	,	,	PUNCT
iajs-2141	82	22	the	the	DET
iajs-2141	82	23	results	result	NOUN
iajs-2141	82	24	show	show	VERB
iajs-2141	82	25	with	with	ADP
iajs-2141	82	26	:	:	PUNCT
iajs-2141	82	27	=	=	NOUN
iajs-2141	82	28	5.9048e-08	5.9048e-08	NUM
iajs-2141	82	29	,	,	PUNCT
iajs-2141	82	30	6.6150e-04	6.6150e-04	NUM
iajs-2141	82	31	,	,	PUNCT
iajs-2141	82	32	and	and	CCONJ
iajs-2141	82	33	=	=	NOUN
iajs-2141	82	34	4.0813e-05	4.0813e-05	NUM
iajs-2141	82	35	the	the	DET
iajs-2141	82	36	following	follow	VERB
iajs-2141	82	37	figures	figure	NOUN
iajs-2141	82	38	are	be	AUX
iajs-2141	82	39	represented	represent	VERB
iajs-2141	82	40	the	the	DET
iajs-2141	82	41	optimal	optimal	ADJ
iajs-2141	82	42	control	control	NOUN
iajs-2141	82	43	and	and	CCONJ
iajs-2141	82	44	its	its	PRON
iajs-2141	82	45	corresponding	corresponding	ADJ
iajs-2141	82	46	state	state	NOUN
iajs-2141	82	47	.	.	PUNCT
iajs-2141	83	1	figure	figure	NOUN
iajs-2141	83	2	9	9	NUM
iajs-2141	83	3	.	.	PUNCT
iajs-2141	84	1	optimal	optimal	ADJ
iajs-2141	84	2	control	control	NOUN
iajs-2141	84	3	at	at	ADP
iajs-2141	84	4	t=0.5	t=0.5	ADV
iajs-2141	84	5	.	.	PUNCT
iajs-2141	85	1	figure	figure	NOUN
iajs-2141	85	2	10	10	NUM
iajs-2141	85	3	.	.	PUNCT
iajs-2141	86	1	corresponding	correspond	VERB
iajs-2141	86	2	state	state	NOUN
iajs-2141	86	3	(	(	PUNCT
iajs-2141	86	4	of	of	ADP
iajs-2141	86	5	optimal	optimal	ADJ
iajs-2141	86	6	control	control	NOUN
iajs-2141	86	7	)	)	PUNCT
iajs-2141	86	8	at	at	ADP
iajs-2141	86	9	t=0.5	t=0.5	NOUN
iajs-2141	86	10	.	.	PUNCT
iajs-2141	86	11	(	(	PUNCT
iajs-2141	86	12	ii	ii	NOUN
iajs-2141	86	13	)	)	PUNCT
iajs-2141	86	14	the	the	DET
iajs-2141	86	15	gposm	gposm	NOUN
iajs-2141	86	16	,	,	PUNCT
iajs-2141	86	17	after	after	SCONJ
iajs-2141	86	18	2	2	NUM
iajs-2141	86	19	iterations	iteration	NOUN
iajs-2141	86	20	is	be	AUX
iajs-2141	86	21	used	use	VERB
iajs-2141	86	22	to	to	PART
iajs-2141	86	23	get	get	VERB
iajs-2141	86	24	the	the	DET
iajs-2141	86	25	optimal	optimal	ADJ
iajs-2141	86	26	control	control	NOUN
iajs-2141	86	27	and	and	CCONJ
iajs-2141	86	28	corresponding	correspond	VERB
iajs-2141	86	29	state	state	NOUN
iajs-2141	86	30	,	,	PUNCT
iajs-2141	86	31	with	with	ADP
iajs-2141	86	32	=	=	NOUN
iajs-2141	86	33	5.8570e-08	5.8570e-08	NUM
iajs-2141	86	34	,	,	PUNCT
iajs-2141	86	35	6.6150e-04	6.6150e-04	NUM
iajs-2141	86	36	,	,	PUNCT
iajs-2141	86	37	and	and	CCONJ
iajs-2141	86	38	=	=	NOUN
iajs-2141	86	39	7.4298e-05	7.4298e-05	NUM
iajs-2141	86	40	the	the	DET
iajs-2141	86	41	following	follow	VERB
iajs-2141	86	42	figures	figure	NOUN
iajs-2141	86	43	are	be	AUX
iajs-2141	86	44	represented	represent	VERB
iajs-2141	86	45	the	the	DET
iajs-2141	86	46	optimal	optimal	ADJ
iajs-2141	86	47	control	control	NOUN
iajs-2141	86	48	and	and	CCONJ
iajs-2141	86	49	its	its	PRON
iajs-2141	86	50	corresponding	corresponding	ADJ
iajs-2141	86	51	state	state	NOUN
iajs-2141	86	52	.	.	PUNCT
iajs-2141	87	1	17	17	NUM
iajs-2141	88	1	ibn	ibn	PROPN
iajs-2141	88	2	al	al	PROPN
iajs-2141	88	3	-	-	PUNCT
iajs-2141	88	4	haitham	haitham	PROPN
iajs-2141	88	5	jour	jour	X
iajs-2141	88	6	.	.	PROPN
iajs-2141	88	7	for	for	ADP
iajs-2141	88	8	pure	pure	ADJ
iajs-2141	88	9	&	&	CCONJ
iajs-2141	88	10	appl	appl	PROPN
iajs-2141	88	11	.	.	PUNCT
iajs-2141	89	1	sci	sci	PROPN
iajs-2141	89	2	.	.	PROPN
iajs-2141	89	3	32	32	NUM
iajs-2141	89	4	(	(	PUNCT
iajs-2141	89	5	2	2	NUM
iajs-2141	89	6	)	)	PUNCT
iajs-2141	89	7	2019	2019	NUM
iajs-2141	89	8	figure	figure	NOUN
iajs-2141	89	9	11	11	NUM
iajs-2141	89	10	.	.	PUNCT
iajs-2141	90	1	optimal	optimal	ADJ
iajs-2141	90	2	control	control	NOUN
iajs-2141	90	3	at	at	ADP
iajs-2141	90	4	t=0.5	t=0.5	ADV
iajs-2141	90	5	.	.	PUNCT
iajs-2141	91	1	figure	figure	NOUN
iajs-2141	91	2	12	12	NUM
iajs-2141	91	3	.	.	PUNCT
iajs-2141	92	1	corresponding	correspond	VERB
iajs-2141	92	2	state	state	NOUN
iajs-2141	92	3	(	(	PUNCT
iajs-2141	92	4	of	of	ADP
iajs-2141	92	5	optimal	optimal	ADJ
iajs-2141	92	6	control	control	NOUN
iajs-2141	92	7	)	)	PUNCT
iajs-2141	92	8	at	at	ADP
iajs-2141	92	9	t=0.5	t=0.5	NOUN
iajs-2141	92	10	.	.	PUNCT
iajs-2141	93	1	6	6	NUM
iajs-2141	93	2	.	.	X
iajs-2141	93	3	conclusion	conclusion	NOUN
iajs-2141	93	4	the	the	DET
iajs-2141	93	5	following	follow	VERB
iajs-2141	93	6	conclusions	conclusion	NOUN
iajs-2141	93	7	can	can	AUX
iajs-2141	93	8	be	be	AUX
iajs-2141	93	9	derived	derive	VERB
iajs-2141	93	10	from	from	ADP
iajs-2141	93	11	the	the	DET
iajs-2141	93	12	obtained	obtain	VERB
iajs-2141	93	13	results	result	NOUN
iajs-2141	93	14	:	:	PUNCT
iajs-2141	93	15	(	(	PUNCT
iajs-2141	93	16	1	1	X
iajs-2141	93	17	)	)	PUNCT
iajs-2141	93	18	the	the	DET
iajs-2141	93	19	gfeim	gfeim	NOUN
iajs-2141	93	20	which	which	PRON
iajs-2141	93	21	is	be	AUX
iajs-2141	93	22	used	use	VERB
iajs-2141	93	23	here	here	ADV
iajs-2141	93	24	to	to	PART
iajs-2141	93	25	find	find	VERB
iajs-2141	93	26	the	the	DET
iajs-2141	93	27	dse	dse	PROPN
iajs-2141	93	28	of	of	ADP
iajs-2141	93	29	lhbvp	lhbvp	NOUN
iajs-2141	93	30	as	as	ADV
iajs-2141	93	31	well	well	ADV
iajs-2141	93	32	as	as	ADP
iajs-2141	93	33	the	the	DET
iajs-2141	93	34	discrete	discrete	ADJ
iajs-2141	93	35	adjoint	adjoint	NOUN
iajs-2141	93	36	equation	equation	NOUN
iajs-2141	93	37	for	for	ADP
iajs-2141	93	38	the	the	DET
iajs-2141	93	39	state	state	NOUN
iajs-2141	93	40	equation	equation	NOUN
iajs-2141	93	41	is	be	AUX
iajs-2141	93	42	fast	fast	ADJ
iajs-2141	93	43	and	and	CCONJ
iajs-2141	93	44	efficient	efficient	ADJ
iajs-2141	93	45	than	than	ADP
iajs-2141	93	46	other	other	ADJ
iajs-2141	93	47	method	method	NOUN
iajs-2141	93	48	e.g.	e.g.	ADV
iajs-2141	93	49	,	,	PUNCT
iajs-2141	93	50	the	the	DET
iajs-2141	93	51	finite	finite	ADJ
iajs-2141	93	52	difference	difference	NOUN
iajs-2141	93	53	methods	method	NOUN
iajs-2141	93	54	,	,	PUNCT
iajs-2141	93	55	methods	method	NOUN
iajs-2141	93	56	of	of	ADP
iajs-2141	93	57	lines	line	NOUN
iajs-2141	93	58	,	,	PUNCT
iajs-2141	93	59	variational	variational	ADJ
iajs-2141	93	60	methods	method	NOUN
iajs-2141	93	61	which	which	PRON
iajs-2141	93	62	clearly	clearly	ADV
iajs-2141	93	63	are	be	AUX
iajs-2141	93	64	needed	need	VERB
iajs-2141	93	65	more	more	ADJ
iajs-2141	93	66	time	time	NOUN
iajs-2141	93	67	and	and	CCONJ
iajs-2141	93	68	hence	hence	ADV
iajs-2141	93	69	have	have	VERB
iajs-2141	93	70	more	more	ADJ
iajs-2141	93	71	computations	computation	NOUN
iajs-2141	93	72	which	which	PRON
iajs-2141	93	73	are	be	AUX
iajs-2141	93	74	grow	grow	VERB
iajs-2141	93	75	up	up	ADP
iajs-2141	93	76	the	the	DET
iajs-2141	93	77	error	error	NOUN
iajs-2141	93	78	.	.	PUNCT
iajs-2141	94	1	(	(	PUNCT
iajs-2141	94	2	2	2	NUM
iajs-2141	94	3	)	)	PUNCT
iajs-2141	94	4	by	by	ADP
iajs-2141	94	5	the	the	DET
iajs-2141	94	6	results	result	NOUN
iajs-2141	94	7	of	of	ADP
iajs-2141	94	8	the	the	DET
iajs-2141	94	9	above	above	ADJ
iajs-2141	94	10	examples	example	NOUN
iajs-2141	94	11	,	,	PUNCT
iajs-2141	94	12	with	with	ADP
iajs-2141	94	13	(	(	PUNCT
iajs-2141	94	14	step	step	NOUN
iajs-2141	94	15	length	length	NOUN
iajs-2141	94	16	of	of	ADP
iajs-2141	94	17	space	space	NOUN
iajs-2141	94	18	variable	variable	NOUN
iajs-2141	94	19	,	,	PUNCT
iajs-2141	94	20	and	and	CCONJ
iajs-2141	94	21	step	step	NOUN
iajs-2141	94	22	length	length	NOUN
iajs-2141	94	23	of	of	ADP
iajs-2141	94	24	time	time	NOUN
iajs-2141	94	25	we	we	PRON
iajs-2141	94	26	conclude	conclude	VERB
iajs-2141	94	27	that	that	PRON
iajs-2141	94	28	:	:	PUNCT
iajs-2141	94	29	(	(	PUNCT
iajs-2141	94	30	i	i	NOUN
iajs-2141	94	31	)	)	PUNCT
iajs-2141	94	32	the	the	DET
iajs-2141	94	33	gparm	gparm	NOUN
iajs-2141	94	34	and	and	CCONJ
iajs-2141	94	35	the	the	DET
iajs-2141	94	36	gposm	gposm	NOUN
iajs-2141	94	37	which	which	PRON
iajs-2141	94	38	are	be	AUX
iajs-2141	94	39	used	use	VERB
iajs-2141	94	40	to	to	PART
iajs-2141	94	41	solve	solve	VERB
iajs-2141	94	42	the	the	DET
iajs-2141	94	43	minimization	minimization	NOUN
iajs-2141	94	44	problem	problem	NOUN
iajs-2141	94	45	(	(	PUNCT
iajs-2141	94	46	the	the	DET
iajs-2141	94	47	cost	cost	NOUN
iajs-2141	94	48	functional	functional	ADJ
iajs-2141	94	49	)	)	PUNCT
iajs-2141	94	50	,	,	PUNCT
iajs-2141	94	51	are	be	AUX
iajs-2141	94	52	suitable	suitable	ADJ
iajs-2141	94	53	and	and	CCONJ
iajs-2141	94	54	efficient	efficient	ADJ
iajs-2141	94	55	methods	method	NOUN
iajs-2141	94	56	to	to	PART
iajs-2141	94	57	find	find	VERB
iajs-2141	94	58	the	the	DET
iajs-2141	94	59	dcoc	dcoc	NOUN
iajs-2141	94	60	governed	govern	VERB
iajs-2141	94	61	by	by	ADP
iajs-2141	94	62	hyperbolic	hyperbolic	ADJ
iajs-2141	94	63	boundary	boundary	ADJ
iajs-2141	94	64	value	value	NOUN
iajs-2141	94	65	problem	problem	NOUN
iajs-2141	94	66	,	,	PUNCT
iajs-2141	94	67	with	with	ADP
iajs-2141	94	68	parameters	parameter	NOUN
iajs-2141	94	69	,	,	PUNCT
iajs-2141	94	70	and	and	CCONJ
iajs-2141	94	71	.	.	PUNCT
iajs-2141	95	1	(	(	PUNCT
iajs-2141	95	2	ii	ii	NOUN
iajs-2141	95	3	)	)	PUNCT
iajs-2141	95	4	although	although	SCONJ
iajs-2141	95	5	the	the	DET
iajs-2141	95	6	gposm	gposm	NOUN
iajs-2141	95	7	is	be	AUX
iajs-2141	95	8	needed	need	VERB
iajs-2141	95	9	less	less	ADJ
iajs-2141	95	10	iterations	iteration	NOUN
iajs-2141	95	11	than	than	ADP
iajs-2141	95	12	gparm	gparm	ADJ
iajs-2141	95	13	,	,	PUNCT
iajs-2141	95	14	but	but	CCONJ
iajs-2141	95	15	the	the	DET
iajs-2141	95	16	gparm	gparm	NOUN
iajs-2141	95	17	remain	remain	VERB
iajs-2141	95	18	better	well	ADJ
iajs-2141	95	19	since	since	SCONJ
iajs-2141	95	20	it	it	PRON
iajs-2141	95	21	is	be	AUX
iajs-2141	95	22	used	use	VERB
iajs-2141	95	23	for	for	ADP
iajs-2141	95	24	general	general	ADJ
iajs-2141	95	25	minimization	minimization	NOUN
iajs-2141	95	26	problems	problem	NOUN
iajs-2141	95	27	,	,	PUNCT
iajs-2141	95	28	on	on	ADP
iajs-2141	95	29	the	the	DET
iajs-2141	95	30	contrary	contrary	NOUN
iajs-2141	95	31	of	of	ADP
iajs-2141	95	32	the	the	DET
iajs-2141	95	33	gposm	gposm	NOUN
iajs-2141	95	34	which	which	PRON
iajs-2141	95	35	is	be	AUX
iajs-2141	95	36	used	use	VERB
iajs-2141	95	37	only	only	ADV
iajs-2141	95	38	for	for	ADP
iajs-2141	95	39	quadratic	quadratic	ADJ
iajs-2141	95	40	functional	functional	ADJ
iajs-2141	95	41	.	.	PUNCT
iajs-2141	96	1	references	reference	NOUN
iajs-2141	96	2	1	1	NUM
iajs-2141	96	3	.	.	NUM
iajs-2141	96	4	chryssoverghi	chryssoverghi	PROPN
iajs-2141	96	5	,	,	PUNCT
iajs-2141	96	6	i.	i.	PROPN
iajs-2141	96	7	mixed	mix	VERB
iajs-2141	96	8	discretization	discretization	NOUN
iajs-2141	96	9	-	-	PUNCT
iajs-2141	96	10	optimization	optimization	NOUN
iajs-2141	96	11	methods	method	NOUN
iajs-2141	96	12	for	for	ADP
iajs-2141	96	13	nonlinear	nonlinear	ADJ
iajs-2141	96	14	elliptic	elliptic	ADJ
iajs-2141	96	15	optimal	optimal	ADJ
iajs-2141	96	16	control	control	NOUN
iajs-2141	96	17	problems	problem	NOUN
iajs-2141	96	18	.	.	PUNCT
iajs-2141	97	1	lnce	lnce	PROPN
iajs-2141	97	2	.	.	PUNCT
iajs-2141	98	1	springer	springer	NOUN
iajs-2141	98	2	,	,	PUNCT
iajs-2141	98	3	heidelberg	heidelberg	PROPN
iajs-2141	98	4	.	.	PUNCT
iajs-2141	99	1	2007	2007	NUM
iajs-2141	99	2	,	,	PUNCT
iajs-2141	99	3	4310	4310	NUM
iajs-2141	99	4	,	,	PUNCT
iajs-2141	99	5	287	287	NUM
iajs-2141	99	6	-	-	SYM
iajs-2141	99	7	295	295	NUM
iajs-2141	99	8	.	.	PUNCT
iajs-2141	100	1	2	2	X
iajs-2141	100	2	.	.	X
iajs-2141	100	3	coletsos	coletsos	PROPN
iajs-2141	100	4	,	,	PUNCT
iajs-2141	100	5	j.	j.	PROPN
iajs-2141	100	6	;	;	PUNCT
iajs-2141	100	7	kokkinis	kokkinis	PROPN
iajs-2141	100	8	,	,	PUNCT
iajs-2141	100	9	b.	b.	PROPN
iajs-2141	100	10	optimization	optimization	NOUN
iajs-2141	100	11	methods	method	NOUN
iajs-2141	100	12	for	for	ADP
iajs-2141	100	13	optimal	optimal	ADJ
iajs-2141	100	14	control	control	NOUN
iajs-2141	100	15	of	of	ADP
iajs-2141	100	16	nonlinear	nonlinear	ADJ
iajs-2141	100	17	elliptic	elliptic	ADJ
iajs-2141	100	18	systems	system	NOUN
iajs-2141	100	19	.	.	PUNCT
iajs-2141	101	1	wseas	wseas	PROPN
iajs-2141	101	2	international	international	ADJ
iajs-2141	101	3	conference	conference	PROPN
iajs-2141	101	4	on	on	ADP
iajs-2141	101	5	simulation	simulation	NOUN
iajs-2141	101	6	,	,	PUNCT
iajs-2141	101	7	modeling	modeling	NOUN
iajs-2141	101	8	and	and	CCONJ
iajs-2141	101	9	optimization	optimization	NOUN
iajs-2141	101	10	,	,	PUNCT
iajs-2141	101	11	2006	2006	NUM
iajs-2141	101	12	,	,	PUNCT
iajs-2141	101	13	54	54	NUM
iajs-2141	101	14	-	-	SYM
iajs-2141	101	15	59	59	NUM
iajs-2141	101	16	.	.	PUNCT
iajs-2141	102	1	3	3	NUM
iajs-2141	102	2	.	.	NUM
iajs-2141	102	3	chryssoverghi	chryssoverghi	PROPN
iajs-2141	102	4	,	,	PUNCT
iajs-2141	102	5	i.	i.	PROPN
iajs-2141	102	6	;	;	PUNCT
iajs-2141	102	7	al	al	PROPN
iajs-2141	102	8	-	-	PUNCT
iajs-2141	102	9	hawasy	hawasy	PROPN
iajs-2141	102	10	,	,	PUNCT
iajs-2141	102	11	j.a	j.a	PROPN
iajs-2141	102	12	.	.	PROPN
iajs-2141	102	13	discrete	discrete	ADJ
iajs-2141	102	14	approximation	approximation	NOUN
iajs-2141	102	15	of	of	ADP
iajs-2141	102	16	similinear	similinear	ADJ
iajs-2141	102	17	parabolic	parabolic	ADJ
iajs-2141	102	18	optimal	optimal	ADJ
iajs-2141	102	19	control	control	NOUN
iajs-2141	102	20	problem	problem	NOUN
iajs-2141	102	21	.	.	PUNCT
iajs-2141	103	1	1	1	NUM
iajs-2141	103	2	st	st	PROPN
iajs-2141	103	3	ic	ic	PROPN
iajs-2141	103	4	-	-	PUNCT
iajs-2141	103	5	scce	scce	NOUN
iajs-2141	103	6	,	,	PUNCT
iajs-2141	103	7	athens	athens	PROPN
iajs-2141	103	8	-	-	PUNCT
iajs-2141	103	9	greece	greece	PROPN
iajs-2141	103	10	,	,	PUNCT
iajs-2141	103	11	2004	2004	NUM
iajs-2141	103	12	.	.	PUNCT
iajs-2141	104	1	4	4	NUM
iajs-2141	104	2	.	.	NUM
iajs-2141	104	3	chryssoverghi	chryssoverghi	PROPN
iajs-2141	104	4	,	,	PUNCT
iajs-2141	104	5	i.	i.	PROPN
iajs-2141	104	6	discretization	discretization	NOUN
iajs-2141	104	7	methods	method	NOUN
iajs-2141	104	8	for	for	ADP
iajs-2141	104	9	simi	simi	PROPN
iajs-2141	104	10	linear	linear	PROPN
iajs-2141	104	11	parabolic	parabolic	PROPN
iajs-2141	104	12	optimal	optimal	ADJ
iajs-2141	104	13	control	control	NOUN
iajs-2141	104	14	problems	problem	NOUN
iajs-2141	104	15	.	.	PUNCT
iajs-2141	105	1	international	international	ADJ
iajs-2141	105	2	journal	journal	PROPN
iajs-2141	105	3	of	of	ADP
iajs-2141	105	4	numerical	numerical	PROPN
iajs-2141	105	5	and	and	CCONJ
iajs-2141	105	6	modeling	modeling	NOUN
iajs-2141	105	7	.	.	PUNCT
iajs-2141	106	1	2006	2006	NUM
iajs-2141	106	2	,	,	PUNCT
iajs-2141	106	3	3	3	NUM
iajs-2141	106	4	,	,	PUNCT
iajs-2141	106	5	02	02	NUM
iajs-2141	106	6	,	,	PUNCT
iajs-2141	106	7	437	437	NUM
iajs-2141	106	8	-	-	SYM
iajs-2141	106	9	457	457	NUM
iajs-2141	106	10	.	.	PUNCT
iajs-2141	107	1	5	5	NUM
iajs-2141	107	2	.	.	NUM
iajs-2141	107	3	chryssoverghi	chryssoverghi	PROPN
iajs-2141	107	4	,	,	PUNCT
iajs-2141	107	5	i.	i.	PROPN
iajs-2141	107	6	;	;	PUNCT
iajs-2141	107	7	coletsos	coletsos	PROPN
iajs-2141	107	8	,	,	PUNCT
iajs-2141	107	9	j.	j.	PROPN
iajs-2141	107	10	;	;	PUNCT
iajs-2141	107	11	kokkinis	kokkinis	PROPN
iajs-2141	107	12	,	,	PUNCT
iajs-2141	107	13	b.	b.	PROPN
iajs-2141	107	14	classical	classical	ADJ
iajs-2141	107	15	and	and	CCONJ
iajs-2141	107	16	relaxed	relaxed	ADJ
iajs-2141	107	17	optimization	optimization	NOUN
iajs-2141	107	18	methods	method	NOUN
iajs-2141	107	19	for	for	ADP
iajs-2141	107	20	optimal	optimal	ADJ
iajs-2141	107	21	control	control	NOUN
iajs-2141	107	22	problems	problem	NOUN
iajs-2141	107	23	.	.	PUNCT
iajs-2141	108	1	international	international	ADJ
iajs-2141	108	2	mathematical	mathematical	PROPN
iajs-2141	108	3	forum	forum	PROPN
iajs-2141	108	4	.	.	PUNCT
iajs-2141	109	1	2007	2007	NUM
iajs-2141	109	2	,	,	PUNCT
iajs-2141	109	3	2	2	NUM
iajs-2141	109	4	,	,	PUNCT
iajs-2141	109	5	30	30	NUM
iajs-2141	109	6	,	,	PUNCT
iajs-2141	109	7	1477	1477	NUM
iajs-2141	109	8	-	-	SYM
iajs-2141	109	9	1498	1498	NUM
iajs-2141	109	10	.	.	PUNCT
iajs-2141	110	1	78	78	NUM
iajs-2141	110	2	ibn	ibn	PROPN
iajs-2141	110	3	al	al	PROPN
iajs-2141	110	4	-	-	PUNCT
iajs-2141	110	5	haitham	haitham	PROPN
iajs-2141	110	6	jour	jour	X
iajs-2141	110	7	.	.	PROPN
iajs-2141	110	8	for	for	ADP
iajs-2141	110	9	pure	pure	ADJ
iajs-2141	110	10	&	&	CCONJ
iajs-2141	110	11	appl	appl	PROPN
iajs-2141	110	12	.	.	PUNCT
iajs-2141	111	1	sci	sci	PROPN
iajs-2141	111	2	.	.	PROPN
iajs-2141	111	3	32	32	NUM
iajs-2141	111	4	(	(	PUNCT
iajs-2141	111	5	2	2	NUM
iajs-2141	111	6	)	)	PUNCT
iajs-2141	111	7	2019	2019	NUM
iajs-2141	111	8	6	6	NUM
iajs-2141	111	9	.	.	PUNCT
iajs-2141	111	10	chryssoverghi	chryssoverghi	PROPN
iajs-2141	111	11	,	,	PUNCT
iajs-2141	111	12	i.	i.	PROPN
iajs-2141	111	13	discretization	discretization	NOUN
iajs-2141	111	14	-	-	PUNCT
iajs-2141	111	15	optimization	optimization	NOUN
iajs-2141	111	16	methods	method	NOUN
iajs-2141	111	17	for	for	ADP
iajs-2141	111	18	optimal	optimal	ADJ
iajs-2141	111	19	control	control	NOUN
iajs-2141	111	20	problems	problem	NOUN
iajs-2141	111	21	.	.	PUNCT
iajs-2141	112	1	wseas	wseas	PROPN
iajs-2141	112	2	.	.	PUNCT
iajs-2141	113	1	modeling	modeling	NOUN
iajs-2141	113	2	and	and	CCONJ
iajs-2141	113	3	optimization	optimization	NOUN
iajs-2141	113	4	.	.	PUNCT
iajs-2141	114	1	2005	2005	NUM
iajs-2141	114	2	,	,	PUNCT
iajs-2141	114	3	4310	4310	NUM
iajs-2141	114	4	,	,	PUNCT
iajs-2141	114	5	399	399	NUM
iajs-2141	114	6	-	-	SYM
iajs-2141	114	7	406	406	NUM
iajs-2141	114	8	.	.	PUNCT
iajs-2141	115	1	7	7	X
iajs-2141	115	2	.	.	X
iajs-2141	115	3	al	al	PROPN
iajs-2141	115	4	-	-	PUNCT
iajs-2141	115	5	hawasy	hawasy	PROPN
iajs-2141	115	6	,	,	PUNCT
iajs-2141	115	7	j.a	j.a	PROPN
iajs-2141	115	8	.	.	PROPN
iajs-2141	115	9	;	;	PUNCT
iajs-2141	115	10	al	al	PROPN
iajs-2141	115	11	-	-	PUNCT
iajs-2141	115	12	rawdanee	rawdanee	NOUN
iajs-2141	115	13	,	,	PUNCT
iajs-2141	115	14	e.h	e.h	PROPN
iajs-2141	115	15	.	.	PROPN
iajs-2141	115	16	numerical	numerical	ADJ
iajs-2141	115	17	solution	solution	NOUN
iajs-2141	115	18	for	for	ADP
iajs-2141	115	19	classical	classical	ADJ
iajs-2141	115	20	optimal	optimal	ADJ
iajs-2141	115	21	control	control	NOUN
iajs-2141	115	22	problem	problem	NOUN
iajs-2141	115	23	governing	govern	VERB
iajs-2141	115	24	by	by	ADP
iajs-2141	115	25	hyperbolic	hyperbolic	ADJ
iajs-2141	115	26	partial	partial	ADJ
iajs-2141	115	27	differential	differential	NOUN
iajs-2141	115	28	equation	equation	NOUN
iajs-2141	115	29	via	via	ADP
iajs-2141	115	30	galerkin	galerkin	PROPN
iajs-2141	115	31	finite	finite	PROPN
iajs-2141	115	32	element	element	NOUN
iajs-2141	115	33	with	with	ADP
iajs-2141	115	34	gradient	gradient	NOUN
iajs-2141	115	35	and	and	CCONJ
iajs-2141	115	36	frank	frank	PROPN
iajs-2141	115	37	wolfe	wolfe	PROPN
iajs-2141	115	38	methods	method	NOUN
iajs-2141	115	39	.	.	PUNCT
iajs-2141	116	1	2019	2019	NUM
iajs-2141	116	2	,	,	PUNCT
iajs-2141	116	3	27	27	NUM
iajs-2141	116	4	-	-	SYM
iajs-2141	116	5	28	28	NUM
iajs-2141	116	6	.	.	NOUN
iajs-2141	117	1	8	8	NUM
iajs-2141	117	2	.	.	X
iajs-2141	117	3	hussain	hussain	PROPN
iajs-2141	117	4	,	,	PUNCT
iajs-2141	117	5	e.a	e.a	PROPN
iajs-2141	117	6	.	.	PROPN
iajs-2141	117	7	;	;	PUNCT
iajs-2141	118	1	al	al	PROPN
iajs-2141	118	2	-	-	PUNCT
iajs-2141	118	3	hawasy	hawasy	PROPN
iajs-2141	118	4	,	,	PUNCT
iajs-2141	118	5	j.a	j.a	PROPN
iajs-2141	118	6	.	.	PROPN
iajs-2141	118	7	;	;	PUNCT
iajs-2141	118	8	ali	ali	PROPN
iajs-2141	118	9	,	,	PUNCT
iajs-2141	118	10	l.h	l.h	PROPN
iajs-2141	118	11	.	.	PROPN
iajs-2141	118	12	finite	finite	PROPN
iajs-2141	118	13	element	element	PROPN
iajs-2141	118	14	method	method	NOUN
iajs-2141	118	15	with	with	ADP
iajs-2141	118	16	piecewise	piecewise	NOUN
iajs-2141	118	17	linear	linear	NOUN
iajs-2141	118	18	function	function	NOUN
iajs-2141	118	19	for	for	ADP
iajs-2141	118	20	solving	solve	VERB
iajs-2141	118	21	nanoscale	nanoscale	NOUN
iajs-2141	118	22	⁄	⁄	PROPN
iajs-2141	118	23	quantum	quantum	NOUN
iajs-2141	118	24	ring	ring	NOUN
iajs-2141	118	25	structures	structure	NOUN
iajs-2141	118	26	.	.	PUNCT
iajs-2141	119	1	ibn	ibn	PROPN
iajs-2141	119	2	al	al	PROPN
iajs-2141	119	3	haitham	haitham	PROPN
iajs-2141	119	4	jour	jour	PROPN
iajs-2141	119	5	.	.	PROPN
iajs-2141	120	1	for	for	ADP
iajs-2141	120	2	pure	pure	ADJ
iajs-2141	120	3	and	and	CCONJ
iajs-2141	120	4	appl	appl	NOUN
iajs-2141	120	5	.	.	PUNCT
iajs-2141	121	1	sci	sci	PROPN
iajs-2141	121	2	.	.	PROPN
iajs-2141	121	3	2017	2017	NUM
iajs-2141	121	4	,	,	PUNCT
iajs-2141	121	5	special	special	ADJ
iajs-2141	121	6	issue	issue	NOUN
iajs-2141	121	7	,	,	PUNCT
iajs-2141	121	8	ihsciconf	ihsciconf	PROPN
iajs-2141	121	9	.	.	PUNCT
iajs-2141	122	1	9	9	X
iajs-2141	122	2	.	.	X
iajs-2141	122	3	al	al	PROPN
iajs-2141	122	4	-	-	PUNCT
iajs-2141	122	5	hawasy	hawasy	PROPN
iajs-2141	122	6	,	,	PUNCT
iajs-2141	122	7	j.a	j.a	PROPN
iajs-2141	122	8	.	.	PROPN
iajs-2141	122	9	;	;	PUNCT
iajs-2141	123	1	jawad	jawad	PROPN
iajs-2141	123	2	,	,	PUNCT
iajs-2141	123	3	m.a	m.a	PROPN
iajs-2141	123	4	.	.	PROPN
iajs-2141	124	1	the	the	DET
iajs-2141	124	2	approximation	approximation	NOUN
iajs-2141	124	3	solution	solution	NOUN
iajs-2141	124	4	of	of	ADP
iajs-2141	124	5	a	a	DET
iajs-2141	124	6	nonlinear	nonlinear	ADJ
iajs-2141	124	7	parabolic	parabolic	ADJ
iajs-2141	124	8	boundary	boundary	ADJ
iajs-2141	124	9	value	value	NOUN
iajs-2141	124	10	problem	problem	NOUN
iajs-2141	124	11	via	via	ADP
iajs-2141	124	12	galerkin	galerkin	ADJ
iajs-2141	124	13	finite	finite	PROPN
iajs-2141	124	14	elements	element	NOUN
iajs-2141	124	15	method	method	VERB
iajs-2141	124	16	with	with	ADP
iajs-2141	124	17	cranknicolson.ibn	cranknicolson.ibn	PROPN
iajs-2141	124	18	al	al	PROPN
iajs-2141	124	19	-	-	PUNCT
iajs-2141	124	20	haitham	haitham	PROPN
iajs-2141	124	21	jour	jour	X
iajs-2141	124	22	.	.	PUNCT
iajs-2141	125	1	for	for	ADP
iajs-2141	125	2	pure	pure	ADJ
iajs-2141	125	3	and	and	CCONJ
iajs-2141	125	4	appl	appl	NOUN
iajs-2141	125	5	.	.	PUNCT
iajs-2141	126	1	sci	sci	PROPN
iajs-2141	126	2	.	.	PROPN
iajs-2141	126	3	2018	2018	NUM
iajs-2141	126	4	,	,	PUNCT
iajs-2141	126	5	31	31	NUM
iajs-2141	126	6	,	,	PUNCT
iajs-2141	126	7	3	3	NUM
iajs-2141	126	8	,	,	PUNCT
iajs-2141	126	9	126	126	NUM
iajs-2141	126	10	-	-	SYM
iajs-2141	126	11	134	134	NUM
iajs-2141	126	12	.	.	PUNCT
iajs-2141	126	13	10	10	NUM
iajs-2141	126	14	.	.	PUNCT
iajs-2141	127	1	polak	polak	PROPN
iajs-2141	127	2	,	,	PUNCT
iajs-2141	127	3	e.	e.	PROPN
iajs-2141	127	4	optimization	optimization	PROPN
iajs-2141	127	5	:	:	PUNCT
iajs-2141	127	6	algorithms	algorithm	NOUN
iajs-2141	127	7	and	and	CCONJ
iajs-2141	127	8	consistent	consistent	ADJ
iajs-2141	127	9	approximations	approximation	NOUN
iajs-2141	127	10	,	,	PUNCT
iajs-2141	127	11	springer	springer	NOUN
iajs-2141	127	12	,	,	PUNCT
iajs-2141	127	13	1997	1997	NUM
iajs-2141	127	14	.	.	PUNCT
iajs-2141	128	1	11	11	NUM
iajs-2141	128	2	.	.	X
iajs-2141	129	1	tawfiq	tawfiq	NOUN
iajs-2141	129	2	,	,	PUNCT
iajs-2141	129	3	l.n.m	l.n.m	NOUN
iajs-2141	129	4	.	.	PUNCT
iajs-2141	129	5	;	;	PUNCT
iajs-2141	129	6	hussein	hussein	PROPN
iajs-2141	129	7	,	,	PUNCT
iajs-2141	129	8	a.a.t	a.a.t	NOUN
iajs-2141	129	9	.	.	PUNCT
iajs-2141	130	1	design	design	NOUN
iajs-2141	130	2	feed	feed	VERB
iajs-2141	130	3	forward	forward	ADV
iajs-2141	130	4	neural	neural	ADJ
iajs-2141	130	5	network	network	NOUN
iajs-2141	130	6	to	to	PART
iajs-2141	130	7	solve	solve	VERB
iajs-2141	130	8	singular	singular	ADJ
iajs-2141	130	9	boundary	boundary	ADJ
iajs-2141	130	10	value	value	NOUN
iajs-2141	130	11	problems	problem	NOUN
iajs-2141	130	12	.	.	PUNCT
iajs-2141	131	1	isrn	isrn	NOUN
iajs-2141	131	2	applied	apply	VERB
iajs-2141	131	3	mathematics	mathematic	NOUN
iajs-2141	131	4	.	.	PUNCT
iajs-2141	132	1	2013	2013	NUM
iajs-2141	132	2	,	,	PUNCT
iajs-2141	132	3	2013	2013	NUM
iajs-2141	132	4	,	,	PUNCT
iajs-2141	132	5	1	1	NUM
iajs-2141	132	6	-	-	SYM
iajs-2141	132	7	8	8	NUM