id	sid	tid	token	lemma	pos
ijassa-604	1	1	adv	adv	PROPN
ijassa-604	1	2	syst	syst	PROPN
ijassa-604	1	3	sci	sci	PROPN
ijassa-604	1	4	appl	appl	PROPN
ijassa-604	1	5	2018	2018	NUM
ijassa-604	1	6	;	;	PUNCT
ijassa-604	1	7	2:11–25	2:11–25	NUM
ijassa-604	1	8	published	publish	VERB
ijassa-604	1	9	online	online	ADV
ijassa-604	1	10	at	at	ADP
ijassa-604	1	11	http://ijassa.ipu.ru/index.php/ijassa/article/view/604	http://ijassa.ipu.ru/index.php/ijassa/article/view/604	NOUN
ijassa-604	1	12	surrogates	surrogate	NOUN
ijassa-604	1	13	for	for	ADP
ijassa-604	1	14	the	the	DET
ijassa-604	1	15	matrix	matrix	NOUN
ijassa-604	1	16	`	`	PUNCT
ijassa-604	1	17	0	0	NUM
ijassa-604	1	18	-	-	PUNCT
ijassa-604	1	19	quasinorm	quasinorm	NOUN
ijassa-604	1	20	in	in	ADP
ijassa-604	1	21	sparse	sparse	ADJ
ijassa-604	1	22	feedback	feedback	NOUN
ijassa-604	1	23	design	design	NOUN
ijassa-604	1	24	:	:	PUNCT
ijassa-604	1	25	numerical	numerical	ADJ
ijassa-604	1	26	study	study	NOUN
ijassa-604	1	27	of	of	ADP
ijassa-604	1	28	the	the	DET
ijassa-604	1	29	efficiency	efficiency	NOUN
ijassa-604	1	30	alexey	alexey	PROPN
ijassa-604	1	31	bykov1	bykov1	PROPN
ijassa-604	1	32	,	,	PUNCT
ijassa-604	1	33	pavel	pavel	PROPN
ijassa-604	1	34	shcherbakov1,2∗	shcherbakov1,2∗	PROPN
ijassa-604	1	35	1institute	1institute	NUM
ijassa-604	1	36	of	of	ADP
ijassa-604	1	37	control	control	NOUN
ijassa-604	1	38	sciences	sciences	PROPN
ijassa-604	1	39	,	,	PUNCT
ijassa-604	1	40	russian	russian	ADJ
ijassa-604	1	41	academy	academy	PROPN
ijassa-604	1	42	of	of	ADP
ijassa-604	1	43	sciences	sciences	PROPN
ijassa-604	1	44	,	,	PUNCT
ijassa-604	1	45	moscow	moscow	PROPN
ijassa-604	1	46	,	,	PUNCT
ijassa-604	1	47	russia	russia	PROPN
ijassa-604	1	48	2institute	2institute	NUM
ijassa-604	1	49	for	for	ADP
ijassa-604	1	50	systems	system	NOUN
ijassa-604	1	51	analysis	analysis	NOUN
ijassa-604	1	52	,	,	PUNCT
ijassa-604	1	53	federal	federal	ADJ
ijassa-604	1	54	research	research	NOUN
ijassa-604	1	55	center	center	NOUN
ijassa-604	1	56	“	"	PUNCT
ijassa-604	1	57	computer	computer	NOUN
ijassa-604	1	58	science	science	NOUN
ijassa-604	1	59	and	and	CCONJ
ijassa-604	1	60	control	control	NOUN
ijassa-604	1	61	”	"	PUNCT
ijassa-604	1	62	,	,	PUNCT
ijassa-604	1	63	russian	russian	ADJ
ijassa-604	1	64	academy	academy	PROPN
ijassa-604	1	65	of	of	ADP
ijassa-604	1	66	sciences	sciences	PROPN
ijassa-604	1	67	,	,	PUNCT
ijassa-604	1	68	moscow	moscow	PROPN
ijassa-604	1	69	,	,	PUNCT
ijassa-604	1	70	russia	russia	PROPN
ijassa-604	1	71	abstract	abstract	NOUN
ijassa-604	1	72	:	:	PUNCT
ijassa-604	1	73	some	some	DET
ijassa-604	1	74	formulations	formulation	NOUN
ijassa-604	1	75	of	of	ADP
ijassa-604	1	76	the	the	DET
ijassa-604	1	77	optimal	optimal	ADJ
ijassa-604	1	78	control	control	NOUN
ijassa-604	1	79	problem	problem	NOUN
ijassa-604	1	80	require	require	VERB
ijassa-604	1	81	the	the	DET
ijassa-604	1	82	resulting	result	VERB
ijassa-604	1	83	controller	controller	NOUN
ijassa-604	1	84	to	to	PART
ijassa-604	1	85	be	be	AUX
ijassa-604	1	86	sparse	sparse	ADJ
ijassa-604	1	87	;	;	PUNCT
ijassa-604	1	88	i.e.	i.e.	X
ijassa-604	1	89	,	,	PUNCT
ijassa-604	1	90	to	to	PART
ijassa-604	1	91	contain	contain	VERB
ijassa-604	1	92	zero	zero	NUM
ijassa-604	1	93	elements	element	NOUN
ijassa-604	1	94	in	in	ADP
ijassa-604	1	95	the	the	DET
ijassa-604	1	96	gain	gain	NOUN
ijassa-604	1	97	matrix	matrix	NOUN
ijassa-604	1	98	.	.	PUNCT
ijassa-604	2	1	on	on	ADP
ijassa-604	2	2	one	one	NUM
ijassa-604	2	3	hand	hand	NOUN
ijassa-604	2	4	,	,	PUNCT
ijassa-604	2	5	sparse	sparse	ADJ
ijassa-604	2	6	feedback	feedback	NOUN
ijassa-604	2	7	leads	lead	VERB
ijassa-604	2	8	to	to	ADP
ijassa-604	2	9	the	the	DET
ijassa-604	2	10	drop	drop	NOUN
ijassa-604	2	11	of	of	ADP
ijassa-604	2	12	performance	performance	NOUN
ijassa-604	2	13	as	as	ADP
ijassa-604	2	14	compared	compare	VERB
ijassa-604	2	15	to	to	ADP
ijassa-604	2	16	the	the	DET
ijassa-604	2	17	optimal	optimal	ADJ
ijassa-604	2	18	control	control	NOUN
ijassa-604	2	19	;	;	PUNCT
ijassa-604	2	20	on	on	ADP
ijassa-604	2	21	the	the	DET
ijassa-604	2	22	other	other	ADJ
ijassa-604	2	23	hand	hand	NOUN
ijassa-604	2	24	,	,	PUNCT
ijassa-604	2	25	it	it	PRON
ijassa-604	2	26	confers	confer	VERB
ijassa-604	2	27	useful	useful	ADJ
ijassa-604	2	28	properties	property	NOUN
ijassa-604	2	29	to	to	ADP
ijassa-604	2	30	the	the	DET
ijassa-604	2	31	system	system	NOUN
ijassa-604	2	32	.	.	PUNCT
ijassa-604	3	1	for	for	ADP
ijassa-604	3	2	instance	instance	NOUN
ijassa-604	3	3	,	,	PUNCT
ijassa-604	3	4	sparse	sparse	ADJ
ijassa-604	3	5	controllers	controller	NOUN
ijassa-604	3	6	allow	allow	VERB
ijassa-604	3	7	to	to	PART
ijassa-604	3	8	design	design	VERB
ijassa-604	3	9	distributed	distribute	VERB
ijassa-604	3	10	systems	system	NOUN
ijassa-604	3	11	with	with	ADP
ijassa-604	3	12	decentralized	decentralized	ADJ
ijassa-604	3	13	feedback	feedback	NOUN
ijassa-604	3	14	.	.	PUNCT
ijassa-604	4	1	some	some	DET
ijassa-604	4	2	sparse	sparse	ADJ
ijassa-604	4	3	formulations	formulation	NOUN
ijassa-604	4	4	require	require	VERB
ijassa-604	4	5	the	the	DET
ijassa-604	4	6	gain	gain	NOUN
ijassa-604	4	7	matrix	matrix	NOUN
ijassa-604	4	8	of	of	ADP
ijassa-604	4	9	the	the	DET
ijassa-604	4	10	controller	controller	NOUN
ijassa-604	4	11	to	to	PART
ijassa-604	4	12	have	have	VERB
ijassa-604	4	13	a	a	DET
ijassa-604	4	14	special	special	ADJ
ijassa-604	4	15	sparse	sparse	ADJ
ijassa-604	4	16	structure	structure	NOUN
ijassa-604	4	17	which	which	PRON
ijassa-604	4	18	is	be	AUX
ijassa-604	4	19	characterized	characterize	VERB
ijassa-604	4	20	by	by	ADP
ijassa-604	4	21	the	the	DET
ijassa-604	4	22	presence	presence	NOUN
ijassa-604	4	23	of	of	ADP
ijassa-604	4	24	zero	zero	NUM
ijassa-604	4	25	rows	row	NOUN
ijassa-604	4	26	in	in	ADP
ijassa-604	4	27	the	the	DET
ijassa-604	4	28	matrix	matrix	NOUN
ijassa-604	4	29	.	.	PUNCT
ijassa-604	5	1	in	in	ADP
ijassa-604	5	2	this	this	DET
ijassa-604	5	3	paper	paper	NOUN
ijassa-604	5	4	,	,	PUNCT
ijassa-604	5	5	various	various	ADJ
ijassa-604	5	6	approximations	approximation	NOUN
ijassa-604	5	7	to	to	ADP
ijassa-604	5	8	the	the	DET
ijassa-604	5	9	number	number	NOUN
ijassa-604	5	10	of	of	ADP
ijassa-604	5	11	nonzero	nonzero	PROPN
ijassa-604	5	12	rows	row	NOUN
ijassa-604	5	13	of	of	ADP
ijassa-604	5	14	a	a	DET
ijassa-604	5	15	matrix	matrix	NOUN
ijassa-604	5	16	are	be	AUX
ijassa-604	5	17	considered	consider	VERB
ijassa-604	5	18	and	and	CCONJ
ijassa-604	5	19	applied	apply	VERB
ijassa-604	5	20	to	to	PART
ijassa-604	5	21	sparse	sparse	VERB
ijassa-604	5	22	feedback	feedback	NOUN
ijassa-604	5	23	design	design	NOUN
ijassa-604	5	24	in	in	ADP
ijassa-604	5	25	optimal	optimal	ADJ
ijassa-604	5	26	control	control	NOUN
ijassa-604	5	27	problems	problem	NOUN
ijassa-604	5	28	for	for	ADP
ijassa-604	5	29	linear	linear	PROPN
ijassa-604	5	30	systems	system	NOUN
ijassa-604	5	31	.	.	PUNCT
ijassa-604	6	1	along	along	ADP
ijassa-604	6	2	with	with	ADP
ijassa-604	6	3	a	a	DET
ijassa-604	6	4	popular	popular	ADJ
ijassa-604	6	5	approach	approach	NOUN
ijassa-604	6	6	based	base	VERB
ijassa-604	6	7	on	on	ADP
ijassa-604	6	8	using	use	VERB
ijassa-604	6	9	the	the	DET
ijassa-604	6	10	matrix	matrix	NOUN
ijassa-604	6	11	`	`	PUNCT
ijassa-604	6	12	1	1	NUM
ijassa-604	6	13	-	-	PUNCT
ijassa-604	6	14	norm	norm	NOUN
ijassa-604	6	15	,	,	PUNCT
ijassa-604	6	16	more	more	ADV
ijassa-604	6	17	complex	complex	ADJ
ijassa-604	6	18	nonconvex	nonconvex	NOUN
ijassa-604	6	19	surrogates	surrogate	NOUN
ijassa-604	6	20	are	be	AUX
ijassa-604	6	21	proposed	propose	VERB
ijassa-604	6	22	and	and	CCONJ
ijassa-604	6	23	discussed	discuss	VERB
ijassa-604	6	24	,	,	PUNCT
ijassa-604	6	25	those	those	DET
ijassa-604	6	26	surrogates	surrogate	NOUN
ijassa-604	6	27	being	be	AUX
ijassa-604	6	28	minimized	minimize	VERB
ijassa-604	6	29	via	via	ADP
ijassa-604	6	30	special	special	ADJ
ijassa-604	6	31	numerical	numerical	ADJ
ijassa-604	6	32	procedures	procedure	NOUN
ijassa-604	6	33	.	.	PUNCT
ijassa-604	7	1	the	the	DET
ijassa-604	7	2	efficiency	efficiency	NOUN
ijassa-604	7	3	of	of	ADP
ijassa-604	7	4	the	the	DET
ijassa-604	7	5	approximations	approximation	NOUN
ijassa-604	7	6	is	be	AUX
ijassa-604	7	7	compared	compare	VERB
ijassa-604	7	8	via	via	ADP
ijassa-604	7	9	numerical	numerical	ADJ
ijassa-604	7	10	experiments	experiment	NOUN
ijassa-604	7	11	.	.	PUNCT
ijassa-604	8	1	keywords	keyword	NOUN
ijassa-604	8	2	:	:	PUNCT
ijassa-604	8	3	sparse	sparse	ADJ
ijassa-604	8	4	control	control	NOUN
ijassa-604	8	5	,	,	PUNCT
ijassa-604	8	6	`	`	PUNCT
ijassa-604	8	7	1	1	NUM
ijassa-604	8	8	-	-	PUNCT
ijassa-604	8	9	optimization	optimization	NOUN
ijassa-604	8	10	,	,	PUNCT
ijassa-604	8	11	linear	linear	NOUN
ijassa-604	8	12	systems	system	NOUN
ijassa-604	8	13	,	,	PUNCT
ijassa-604	8	14	optimal	optimal	ADJ
ijassa-604	8	15	control	control	NOUN
ijassa-604	8	16	,	,	PUNCT
ijassa-604	8	17	linear	linear	ADJ
ijassa-604	8	18	matrix	matrix	NOUN
ijassa-604	8	19	inequalities	inequality	NOUN
ijassa-604	8	20	1	1	NUM
ijassa-604	8	21	.	.	PUNCT
ijassa-604	9	1	introduction	introduction	NOUN
ijassa-604	9	2	optimal	optimal	ADJ
ijassa-604	9	3	control	control	NOUN
ijassa-604	9	4	problems	problem	NOUN
ijassa-604	9	5	in	in	ADP
ijassa-604	9	6	linear	linear	ADJ
ijassa-604	9	7	theory	theory	NOUN
ijassa-604	9	8	may	may	AUX
ijassa-604	9	9	have	have	VERB
ijassa-604	9	10	a	a	DET
ijassa-604	9	11	requirement	requirement	NOUN
ijassa-604	9	12	imposed	impose	VERB
ijassa-604	9	13	on	on	ADP
ijassa-604	9	14	the	the	DET
ijassa-604	9	15	structure	structure	NOUN
ijassa-604	9	16	of	of	ADP
ijassa-604	9	17	the	the	DET
ijassa-604	9	18	controller	controller	NOUN
ijassa-604	9	19	along	along	ADP
ijassa-604	9	20	with	with	ADP
ijassa-604	9	21	the	the	DET
ijassa-604	9	22	necessity	necessity	NOUN
ijassa-604	9	23	of	of	ADP
ijassa-604	9	24	optimizing	optimize	VERB
ijassa-604	9	25	the	the	DET
ijassa-604	9	26	objective	objective	ADJ
ijassa-604	9	27	function	function	NOUN
ijassa-604	9	28	.	.	PUNCT
ijassa-604	10	1	one	one	NUM
ijassa-604	10	2	example	example	NOUN
ijassa-604	10	3	of	of	ADP
ijassa-604	10	4	such	such	ADJ
ijassa-604	10	5	requirement	requirement	NOUN
ijassa-604	10	6	would	would	AUX
ijassa-604	10	7	be	be	AUX
ijassa-604	10	8	sparsity	sparsity	NOUN
ijassa-604	10	9	of	of	ADP
ijassa-604	10	10	the	the	DET
ijassa-604	10	11	controller	controller	NOUN
ijassa-604	10	12	,	,	PUNCT
ijassa-604	10	13	which	which	PRON
ijassa-604	10	14	is	be	AUX
ijassa-604	10	15	understood	understand	VERB
ijassa-604	10	16	as	as	ADP
ijassa-604	10	17	having	have	VERB
ijassa-604	10	18	many	many	ADJ
ijassa-604	10	19	zero	zero	NUM
ijassa-604	10	20	elements	element	NOUN
ijassa-604	10	21	in	in	ADP
ijassa-604	10	22	its	its	PRON
ijassa-604	10	23	gain	gain	NOUN
ijassa-604	10	24	matrix	matrix	NOUN
ijassa-604	10	25	;	;	PUNCT
ijassa-604	10	26	e.g.	e.g.	ADV
ijassa-604	10	27	,	,	PUNCT
ijassa-604	10	28	see	see	VERB
ijassa-604	10	29	[	[	X
ijassa-604	10	30	12–14,22	12–14,22	X
ijassa-604	10	31	]	]	X
ijassa-604	10	32	.	.	PUNCT
ijassa-604	11	1	elementwise	elementwise	NOUN
ijassa-604	11	2	and	and	CCONJ
ijassa-604	11	3	block	block	NOUN
ijassa-604	11	4	sparsity	sparsity	NOUN
ijassa-604	11	5	allows	allow	VERB
ijassa-604	11	6	to	to	PART
ijassa-604	11	7	design	design	VERB
ijassa-604	11	8	distributed	distribute	VERB
ijassa-604	11	9	systems	system	NOUN
ijassa-604	11	10	with	with	ADP
ijassa-604	11	11	decentralized	decentralized	ADJ
ijassa-604	11	12	control	control	NOUN
ijassa-604	11	13	.	.	PUNCT
ijassa-604	12	1	this	this	DET
ijassa-604	12	2	additional	additional	ADJ
ijassa-604	12	3	sparsity	sparsity	NOUN
ijassa-604	12	4	requirement	requirement	NOUN
ijassa-604	12	5	naturally	naturally	ADV
ijassa-604	12	6	leads	lead	VERB
ijassa-604	12	7	to	to	ADP
ijassa-604	12	8	a	a	DET
ijassa-604	12	9	drop	drop	NOUN
ijassa-604	12	10	in	in	ADP
ijassa-604	12	11	performance	performance	NOUN
ijassa-604	12	12	,	,	PUNCT
ijassa-604	12	13	which	which	PRON
ijassa-604	12	14	is	be	AUX
ijassa-604	12	15	explained	explain	VERB
ijassa-604	12	16	by	by	ADP
ijassa-604	12	17	the	the	DET
ijassa-604	12	18	fact	fact	NOUN
ijassa-604	12	19	that	that	SCONJ
ijassa-604	12	20	the	the	DET
ijassa-604	12	21	set	set	NOUN
ijassa-604	12	22	of	of	ADP
ijassa-604	12	23	sparse	sparse	ADJ
ijassa-604	12	24	controllers	controller	NOUN
ijassa-604	12	25	is	be	AUX
ijassa-604	12	26	contained	contain	VERB
ijassa-604	12	27	in	in	ADP
ijassa-604	12	28	the	the	DET
ijassa-604	12	29	feasible	feasible	ADJ
ijassa-604	12	30	set	set	NOUN
ijassa-604	12	31	for	for	ADP
ijassa-604	12	32	the	the	DET
ijassa-604	12	33	corresponding	corresponding	ADJ
ijassa-604	12	34	classical	classical	ADJ
ijassa-604	12	35	formulation	formulation	NOUN
ijassa-604	12	36	.	.	PUNCT
ijassa-604	13	1	nevertheless	nevertheless	ADV
ijassa-604	13	2	,	,	PUNCT
ijassa-604	13	3	in	in	ADP
ijassa-604	13	4	some	some	DET
ijassa-604	13	5	formulations	formulation	NOUN
ijassa-604	13	6	of	of	ADP
ijassa-604	13	7	control	control	NOUN
ijassa-604	13	8	problems	problem	NOUN
ijassa-604	13	9	,	,	PUNCT
ijassa-604	13	10	a	a	DET
ijassa-604	13	11	reasonable	reasonable	ADJ
ijassa-604	13	12	drop	drop	NOUN
ijassa-604	13	13	in	in	ADP
ijassa-604	13	14	performance	performance	NOUN
ijassa-604	13	15	is	be	AUX
ijassa-604	13	16	allowed	allow	VERB
ijassa-604	13	17	for	for	ADP
ijassa-604	13	18	the	the	DET
ijassa-604	13	19	sake	sake	NOUN
ijassa-604	13	20	of	of	ADP
ijassa-604	13	21	having	have	VERB
ijassa-604	13	22	a	a	DET
ijassa-604	13	23	sparse	sparse	ADJ
ijassa-604	13	24	control	control	NOUN
ijassa-604	13	25	.	.	PUNCT
ijassa-604	14	1	for	for	ADP
ijassa-604	14	2	instance	instance	NOUN
ijassa-604	14	3	,	,	PUNCT
ijassa-604	14	4	the	the	DET
ijassa-604	14	5	objective	objective	ADJ
ijassa-604	14	6	function	function	NOUN
ijassa-604	14	7	in	in	ADP
ijassa-604	14	8	the	the	DET
ijassa-604	14	9	standard	standard	PROPN
ijassa-604	14	10	lqr	lqr	NOUN
ijassa-604	14	11	problem	problem	NOUN
ijassa-604	14	12	has	have	VERB
ijassa-604	14	13	the	the	DET
ijassa-604	14	14	form	form	NOUN
ijassa-604	14	15	of	of	ADP
ijassa-604	14	16	a	a	DET
ijassa-604	14	17	quadratic	quadratic	ADJ
ijassa-604	14	18	functional	functional	NOUN
ijassa-604	14	19	,	,	PUNCT
ijassa-604	14	20	which	which	PRON
ijassa-604	14	21	is	be	AUX
ijassa-604	14	22	related	relate	VERB
ijassa-604	14	23	to	to	ADP
ijassa-604	14	24	energy	energy	NOUN
ijassa-604	14	25	consumption	consumption	NOUN
ijassa-604	14	26	in	in	ADP
ijassa-604	14	27	the	the	DET
ijassa-604	14	28	system	system	NOUN
ijassa-604	14	29	;	;	PUNCT
ijassa-604	14	30	e.g.	e.g.	ADV
ijassa-604	14	31	fuel	fuel	NOUN
ijassa-604	14	32	consumption	consumption	NOUN
ijassa-604	14	33	of	of	ADP
ijassa-604	14	34	an	an	DET
ijassa-604	14	35	aircraft	aircraft	NOUN
ijassa-604	14	36	.	.	PUNCT
ijassa-604	15	1	on	on	ADP
ijassa-604	15	2	one	one	NUM
ijassa-604	15	3	hand	hand	NOUN
ijassa-604	15	4	,	,	PUNCT
ijassa-604	15	5	a	a	DET
ijassa-604	15	6	sparse	sparse	ADJ
ijassa-604	15	7	control	control	NOUN
ijassa-604	15	8	leads	lead	VERB
ijassa-604	15	9	to	to	ADP
ijassa-604	15	10	worse	bad	ADJ
ijassa-604	15	11	(	(	PUNCT
ijassa-604	15	12	higher	high	ADJ
ijassa-604	15	13	)	)	PUNCT
ijassa-604	15	14	values	value	NOUN
ijassa-604	15	15	of	of	ADP
ijassa-604	15	16	the	the	DET
ijassa-604	15	17	objective	objective	ADJ
ijassa-604	15	18	function	function	NOUN
ijassa-604	15	19	,	,	PUNCT
ijassa-604	15	20	i.e.	i.e.	X
ijassa-604	15	21	,	,	PUNCT
ijassa-604	15	22	fuel	fuel	NOUN
ijassa-604	15	23	consumption	consumption	NOUN
ijassa-604	15	24	is	be	AUX
ijassa-604	15	25	increased	increase	VERB
ijassa-604	15	26	;	;	PUNCT
ijassa-604	15	27	on	on	ADP
ijassa-604	15	28	the	the	DET
ijassa-604	15	29	other	other	ADJ
ijassa-604	15	30	hand	hand	NOUN
ijassa-604	15	31	,	,	PUNCT
ijassa-604	15	32	it	it	PRON
ijassa-604	15	33	augments	augment	VERB
ijassa-604	15	34	the	the	DET
ijassa-604	15	35	system	system	NOUN
ijassa-604	15	36	with	with	ADP
ijassa-604	15	37	various	various	ADJ
ijassa-604	15	38	useful	useful	ADJ
ijassa-604	15	39	properties	property	NOUN
ijassa-604	15	40	.	.	PUNCT
ijassa-604	16	1	for	for	ADP
ijassa-604	16	2	example	example	NOUN
ijassa-604	16	3	,	,	PUNCT
ijassa-604	16	4	decentralized	decentralized	ADJ
ijassa-604	16	5	control	control	NOUN
ijassa-604	16	6	makes	make	VERB
ijassa-604	16	7	the	the	DET
ijassa-604	16	8	system	system	NOUN
ijassa-604	16	9	more	more	ADV
ijassa-604	16	10	reliable	reliable	ADJ
ijassa-604	16	11	and	and	CCONJ
ijassa-604	16	12	fail	fail	ADJ
ijassa-604	16	13	-	-	PUNCT
ijassa-604	16	14	safe	safe	ADJ
ijassa-604	16	15	;	;	PUNCT
ijassa-604	16	16	decreasing	decrease	VERB
ijassa-604	16	17	the	the	DET
ijassa-604	16	18	number	number	NOUN
ijassa-604	16	19	of	of	ADP
ijassa-604	16	20	active	active	ADJ
ijassa-604	16	21	actuators	actuator	NOUN
ijassa-604	16	22	allows	allow	VERB
ijassa-604	16	23	to	to	PART
ijassa-604	16	24	slow	slow	VERB
ijassa-604	16	25	down	down	ADP
ijassa-604	16	26	an	an	DET
ijassa-604	16	27	equipment	equipment	NOUN
ijassa-604	16	28	deterioration	deterioration	NOUN
ijassa-604	16	29	,	,	PUNCT
ijassa-604	16	30	thereby	thereby	ADV
ijassa-604	16	31	increasing	increase	VERB
ijassa-604	16	32	the	the	DET
ijassa-604	16	33	lifetime	lifetime	NOUN
ijassa-604	16	34	of	of	ADP
ijassa-604	16	35	the	the	DET
ijassa-604	16	36	system	system	NOUN
ijassa-604	16	37	.	.	PUNCT
ijassa-604	17	1	in	in	ADP
ijassa-604	17	2	[	[	X
ijassa-604	17	3	15	15	NUM
ijassa-604	17	4	]	]	X
ijassa-604	17	5	,	,	PUNCT
ijassa-604	17	6	a	a	DET
ijassa-604	17	7	special	special	ADJ
ijassa-604	17	8	kind	kind	NOUN
ijassa-604	17	9	of	of	ADP
ijassa-604	17	10	sparsity	sparsity	NOUN
ijassa-604	17	11	was	be	AUX
ijassa-604	17	12	introduced	introduce	VERB
ijassa-604	17	13	,	,	PUNCT
ijassa-604	17	14	which	which	PRON
ijassa-604	17	15	is	be	AUX
ijassa-604	17	16	different	different	ADJ
ijassa-604	17	17	from	from	ADP
ijassa-604	17	18	a	a	DET
ijassa-604	17	19	typical	typical	ADJ
ijassa-604	17	20	elementwise	elementwise	NOUN
ijassa-604	17	21	sparsity	sparsity	NOUN
ijassa-604	17	22	.	.	PUNCT
ijassa-604	18	1	the	the	DET
ijassa-604	18	2	authors	author	NOUN
ijassa-604	18	3	considered	consider	VERB
ijassa-604	18	4	a	a	DET
ijassa-604	18	5	controller	controller	NOUN
ijassa-604	18	6	to	to	PART
ijassa-604	18	7	be	be	AUX
ijassa-604	18	8	sparse	sparse	ADJ
ijassa-604	18	9	if	if	SCONJ
ijassa-604	18	10	its	its	PRON
ijassa-604	18	11	gain	gain	NOUN
ijassa-604	18	12	matrix	matrix	NOUN
ijassa-604	18	13	has	have	AUX
ijassa-604	18	14	∗corresponding	∗corresponde	VERB
ijassa-604	18	15	author	author	NOUN
ijassa-604	18	16	:	:	PUNCT
ijassa-604	18	17	alexey.bykov.mipt@gmail.com	alexey.bykov.mipt@gmail.com	NUM
ijassa-604	18	18	,	,	PUNCT
ijassa-604	18	19	cavour118@mail.ru	cavour118@mail.ru	VERB
ijassa-604	18	20	http://ijassa.ipu.ru/	http://ijassa.ipu.ru/	ADJ
ijassa-604	18	21	12	12	NUM
ijassa-604	18	22	a.	a.	NOUN
ijassa-604	18	23	bykov	bykov	NOUN
ijassa-604	18	24	,	,	PUNCT
ijassa-604	18	25	p.	p.	NOUN
ijassa-604	18	26	shcherbakov	shcherbakov	NOUN
ijassa-604	18	27	many	many	ADJ
ijassa-604	18	28	zero	zero	NUM
ijassa-604	18	29	rows	row	NOUN
ijassa-604	18	30	or	or	CCONJ
ijassa-604	18	31	columns	column	NOUN
ijassa-604	18	32	.	.	PUNCT
ijassa-604	19	1	such	such	ADJ
ijassa-604	19	2	controllers	controller	NOUN
ijassa-604	19	3	facilitate	facilitate	VERB
ijassa-604	19	4	ease	ease	NOUN
ijassa-604	19	5	of	of	ADP
ijassa-604	19	6	hardware	hardware	NOUN
ijassa-604	19	7	implementation	implementation	NOUN
ijassa-604	19	8	of	of	ADP
ijassa-604	19	9	the	the	DET
ijassa-604	19	10	control	control	NOUN
ijassa-604	19	11	systems	system	NOUN
ijassa-604	19	12	,	,	PUNCT
ijassa-604	19	13	such	such	ADJ
ijassa-604	19	14	as	as	ADP
ijassa-604	19	15	a	a	DET
ijassa-604	19	16	reduction	reduction	NOUN
ijassa-604	19	17	of	of	ADP
ijassa-604	19	18	the	the	DET
ijassa-604	19	19	number	number	NOUN
ijassa-604	19	20	of	of	ADP
ijassa-604	19	21	actuators	actuator	NOUN
ijassa-604	19	22	or	or	CCONJ
ijassa-604	19	23	sensors	sensor	NOUN
ijassa-604	19	24	and	and	CCONJ
ijassa-604	19	25	the	the	DET
ijassa-604	19	26	amount	amount	NOUN
ijassa-604	19	27	of	of	ADP
ijassa-604	19	28	information	information	NOUN
ijassa-604	19	29	transmitted	transmit	VERB
ijassa-604	19	30	via	via	ADP
ijassa-604	19	31	control	control	NOUN
ijassa-604	19	32	channels	channel	NOUN
ijassa-604	19	33	.	.	PUNCT
ijassa-604	20	1	a	a	DET
ijassa-604	20	2	direct	direct	ADJ
ijassa-604	20	3	minimization	minimization	NOUN
ijassa-604	20	4	of	of	ADP
ijassa-604	20	5	the	the	DET
ijassa-604	20	6	number	number	NOUN
ijassa-604	20	7	of	of	ADP
ijassa-604	20	8	nonzero	nonzero	PROPN
ijassa-604	20	9	rows	row	NOUN
ijassa-604	20	10	or	or	CCONJ
ijassa-604	20	11	columns	column	NOUN
ijassa-604	20	12	of	of	ADP
ijassa-604	20	13	a	a	DET
ijassa-604	20	14	matrix	matrix	NOUN
ijassa-604	20	15	is	be	AUX
ijassa-604	20	16	known	know	VERB
ijassa-604	20	17	to	to	PART
ijassa-604	20	18	be	be	AUX
ijassa-604	20	19	np	np	NOUN
ijassa-604	20	20	-	-	PUNCT
ijassa-604	20	21	hard	hard	ADV
ijassa-604	20	22	,	,	PUNCT
ijassa-604	20	23	since	since	SCONJ
ijassa-604	20	24	it	it	PRON
ijassa-604	20	25	involves	involve	VERB
ijassa-604	20	26	combinatorial	combinatorial	ADJ
ijassa-604	20	27	search	search	NOUN
ijassa-604	20	28	.	.	PUNCT
ijassa-604	21	1	as	as	ADP
ijassa-604	21	2	the	the	DET
ijassa-604	21	3	dimensions	dimension	NOUN
ijassa-604	21	4	of	of	ADP
ijassa-604	21	5	the	the	DET
ijassa-604	21	6	problem	problem	NOUN
ijassa-604	21	7	increase	increase	NOUN
ijassa-604	21	8	,	,	PUNCT
ijassa-604	21	9	the	the	DET
ijassa-604	21	10	direct	direct	ADJ
ijassa-604	21	11	approach	approach	NOUN
ijassa-604	21	12	becomes	become	VERB
ijassa-604	21	13	inapplicable	inapplicable	ADJ
ijassa-604	21	14	due	due	ADP
ijassa-604	21	15	to	to	ADP
ijassa-604	21	16	its	its	PRON
ijassa-604	21	17	exponential	exponential	ADJ
ijassa-604	21	18	time	time	NOUN
ijassa-604	21	19	complexity	complexity	NOUN
ijassa-604	21	20	.	.	PUNCT
ijassa-604	22	1	in	in	ADP
ijassa-604	22	2	[	[	X
ijassa-604	22	3	15	15	NUM
ijassa-604	22	4	,	,	PUNCT
ijassa-604	22	5	16	16	NUM
ijassa-604	22	6	]	]	PUNCT
ijassa-604	22	7	,	,	PUNCT
ijassa-604	22	8	an	an	DET
ijassa-604	22	9	approach	approach	NOUN
ijassa-604	22	10	was	be	AUX
ijassa-604	22	11	proposed	propose	VERB
ijassa-604	22	12	which	which	PRON
ijassa-604	22	13	is	be	AUX
ijassa-604	22	14	based	base	VERB
ijassa-604	22	15	on	on	ADP
ijassa-604	22	16	solving	solve	VERB
ijassa-604	22	17	convex	convex	NOUN
ijassa-604	22	18	surrogate	surrogate	ADJ
ijassa-604	22	19	problem	problem	NOUN
ijassa-604	22	20	instead	instead	ADV
ijassa-604	22	21	of	of	ADP
ijassa-604	22	22	the	the	DET
ijassa-604	22	23	original	original	ADJ
ijassa-604	22	24	nonconvex	nonconvex	NOUN
ijassa-604	22	25	one	one	NUM
ijassa-604	22	26	.	.	PUNCT
ijassa-604	23	1	this	this	DET
ijassa-604	23	2	substitution	substitution	NOUN
ijassa-604	23	3	is	be	AUX
ijassa-604	23	4	implemented	implement	VERB
ijassa-604	23	5	using	use	VERB
ijassa-604	23	6	special	special	ADJ
ijassa-604	23	7	matrix	matrix	NOUN
ijassa-604	23	8	norms	norm	NOUN
ijassa-604	23	9	which	which	PRON
ijassa-604	23	10	are	be	AUX
ijassa-604	23	11	convex	convex	ADJ
ijassa-604	23	12	approximations	approximation	NOUN
ijassa-604	23	13	(	(	PUNCT
ijassa-604	23	14	also	also	ADV
ijassa-604	23	15	called	call	VERB
ijassa-604	23	16	surrogates	surrogate	NOUN
ijassa-604	23	17	)	)	PUNCT
ijassa-604	23	18	to	to	ADP
ijassa-604	23	19	the	the	DET
ijassa-604	23	20	number	number	NOUN
ijassa-604	23	21	of	of	ADP
ijassa-604	23	22	nonzero	nonzero	PROPN
ijassa-604	23	23	rows	row	NOUN
ijassa-604	23	24	/	/	SYM
ijassa-604	23	25	columns	column	NOUN
ijassa-604	23	26	of	of	ADP
ijassa-604	23	27	a	a	DET
ijassa-604	23	28	matrix	matrix	NOUN
ijassa-604	23	29	(	(	PUNCT
ijassa-604	23	30	nonconvex	nonconvex	NOUN
ijassa-604	23	31	matrix	matrix	NOUN
ijassa-604	23	32	`	`	PUNCT
ijassa-604	23	33	0	0	NUM
ijassa-604	23	34	-	-	PUNCT
ijassa-604	23	35	quasinorms	quasinorm	NOUN
ijassa-604	23	36	)	)	PUNCT
ijassa-604	23	37	.	.	PUNCT
ijassa-604	24	1	this	this	DET
ijassa-604	24	2	heuristic	heuristic	NOUN
ijassa-604	24	3	,	,	PUNCT
ijassa-604	24	4	however	however	ADV
ijassa-604	24	5	,	,	PUNCT
ijassa-604	24	6	does	do	AUX
ijassa-604	24	7	not	not	PART
ijassa-604	24	8	guarantee	guarantee	VERB
ijassa-604	24	9	an	an	DET
ijassa-604	24	10	occurrence	occurrence	NOUN
ijassa-604	24	11	of	of	ADP
ijassa-604	24	12	zero	zero	NUM
ijassa-604	24	13	rows	row	NOUN
ijassa-604	24	14	/	/	SYM
ijassa-604	24	15	columns	column	NOUN
ijassa-604	24	16	in	in	ADP
ijassa-604	24	17	the	the	DET
ijassa-604	24	18	gain	gain	NOUN
ijassa-604	24	19	matrix	matrix	NOUN
ijassa-604	24	20	,	,	PUNCT
ijassa-604	24	21	and	and	CCONJ
ijassa-604	24	22	by	by	ADP
ijassa-604	24	23	all	all	DET
ijassa-604	24	24	appearances	appearance	NOUN
ijassa-604	24	25	strict	strict	ADJ
ijassa-604	24	26	results	result	NOUN
ijassa-604	24	27	can	can	AUX
ijassa-604	24	28	not	not	PART
ijassa-604	24	29	be	be	AUX
ijassa-604	24	30	obtained	obtain	VERB
ijassa-604	24	31	due	due	ADJ
ijassa-604	24	32	to	to	ADP
ijassa-604	24	33	nonconvexity	nonconvexity	NOUN
ijassa-604	24	34	of	of	ADP
ijassa-604	24	35	the	the	DET
ijassa-604	24	36	original	original	ADJ
ijassa-604	24	37	problem	problem	NOUN
ijassa-604	24	38	.	.	PUNCT
ijassa-604	25	1	nevertheless	nevertheless	ADV
ijassa-604	25	2	,	,	PUNCT
ijassa-604	25	3	the	the	DET
ijassa-604	25	4	exploited	exploit	VERB
ijassa-604	25	5	heuristic	heuristic	NOUN
ijassa-604	25	6	is	be	AUX
ijassa-604	25	7	shown	show	VERB
ijassa-604	25	8	to	to	PART
ijassa-604	25	9	be	be	AUX
ijassa-604	25	10	efficient	efficient	ADJ
ijassa-604	25	11	and	and	CCONJ
ijassa-604	25	12	the	the	DET
ijassa-604	25	13	approach	approach	NOUN
ijassa-604	25	14	seems	seem	VERB
ijassa-604	25	15	to	to	PART
ijassa-604	25	16	work	work	VERB
ijassa-604	25	17	for	for	ADP
ijassa-604	25	18	numerous	numerous	ADJ
ijassa-604	25	19	examples	example	NOUN
ijassa-604	25	20	.	.	PUNCT
ijassa-604	26	1	such	such	ADJ
ijassa-604	26	2	non	non	ADJ
ijassa-604	26	3	-	-	ADJ
ijassa-604	26	4	strict	strict	ADJ
ijassa-604	26	5	approaches	approach	NOUN
ijassa-604	26	6	require	require	VERB
ijassa-604	26	7	computer	computer	NOUN
ijassa-604	26	8	simulations	simulation	NOUN
ijassa-604	26	9	for	for	ADP
ijassa-604	26	10	proving	prove	VERB
ijassa-604	26	11	their	their	PRON
ijassa-604	26	12	efficiency	efficiency	NOUN
ijassa-604	26	13	,	,	PUNCT
ijassa-604	26	14	and	and	CCONJ
ijassa-604	26	15	in	in	ADP
ijassa-604	26	16	the	the	DET
ijassa-604	26	17	current	current	ADJ
ijassa-604	26	18	paper	paper	NOUN
ijassa-604	26	19	we	we	PRON
ijassa-604	26	20	put	put	VERB
ijassa-604	26	21	emphasis	emphasis	NOUN
ijassa-604	26	22	on	on	ADP
ijassa-604	26	23	the	the	DET
ijassa-604	26	24	numerical	numerical	ADJ
ijassa-604	26	25	study	study	NOUN
ijassa-604	26	26	.	.	PUNCT
ijassa-604	27	1	apart	apart	ADV
ijassa-604	27	2	from	from	ADP
ijassa-604	27	3	convex	convex	NOUN
ijassa-604	27	4	surrogates	surrogate	NOUN
ijassa-604	27	5	,	,	PUNCT
ijassa-604	27	6	some	some	DET
ijassa-604	27	7	papers	paper	NOUN
ijassa-604	27	8	[	[	X
ijassa-604	27	9	2–4	2–4	NUM
ijassa-604	27	10	,	,	PUNCT
ijassa-604	27	11	13	13	NUM
ijassa-604	27	12	]	]	PUNCT
ijassa-604	27	13	suggest	suggest	VERB
ijassa-604	27	14	using	use	VERB
ijassa-604	27	15	nonconvex	nonconvex	NOUN
ijassa-604	27	16	approximations	approximation	NOUN
ijassa-604	27	17	for	for	ADP
ijassa-604	27	18	more	more	ADV
ijassa-604	27	19	efficient	efficient	ADJ
ijassa-604	27	20	detection	detection	NOUN
ijassa-604	27	21	of	of	ADP
ijassa-604	27	22	sparse	sparse	ADJ
ijassa-604	27	23	solutions	solution	NOUN
ijassa-604	27	24	in	in	ADP
ijassa-604	27	25	case	case	NOUN
ijassa-604	27	26	of	of	ADP
ijassa-604	27	27	vector	vector	NOUN
ijassa-604	27	28	and	and	CCONJ
ijassa-604	27	29	matrix	matrix	NOUN
ijassa-604	27	30	variables	variable	NOUN
ijassa-604	27	31	.	.	PUNCT
ijassa-604	28	1	the	the	DET
ijassa-604	28	2	main	main	ADJ
ijassa-604	28	3	goal	goal	NOUN
ijassa-604	28	4	of	of	ADP
ijassa-604	28	5	this	this	DET
ijassa-604	28	6	paper	paper	NOUN
ijassa-604	28	7	consists	consist	VERB
ijassa-604	28	8	in	in	ADP
ijassa-604	28	9	comparing	compare	VERB
ijassa-604	28	10	the	the	DET
ijassa-604	28	11	efficiency	efficiency	NOUN
ijassa-604	28	12	of	of	ADP
ijassa-604	28	13	different	different	ADJ
ijassa-604	28	14	approximations	approximation	NOUN
ijassa-604	28	15	to	to	ADP
ijassa-604	28	16	the	the	DET
ijassa-604	28	17	matrix	matrix	NOUN
ijassa-604	28	18	`	`	PUNCT
ijassa-604	28	19	0	0	NUM
ijassa-604	28	20	-	-	PUNCT
ijassa-604	28	21	quasinorm	quasinorm	NOUN
ijassa-604	28	22	,	,	PUNCT
ijassa-604	28	23	which	which	PRON
ijassa-604	28	24	can	can	AUX
ijassa-604	28	25	be	be	AUX
ijassa-604	28	26	used	use	VERB
ijassa-604	28	27	for	for	ADP
ijassa-604	28	28	sparse	sparse	ADJ
ijassa-604	28	29	feedback	feedback	NOUN
ijassa-604	28	30	design	design	NOUN
ijassa-604	28	31	in	in	ADP
ijassa-604	28	32	optimal	optimal	ADJ
ijassa-604	28	33	control	control	NOUN
ijassa-604	28	34	problems	problem	NOUN
ijassa-604	28	35	.	.	PUNCT
ijassa-604	29	1	also	also	ADV
ijassa-604	29	2	,	,	PUNCT
ijassa-604	29	3	a	a	DET
ijassa-604	29	4	general	general	ADJ
ijassa-604	29	5	scheme	scheme	NOUN
ijassa-604	29	6	for	for	ADP
ijassa-604	29	7	gaining	gain	VERB
ijassa-604	29	8	trade	trade	NOUN
ijassa-604	29	9	-	-	PUNCT
ijassa-604	29	10	off	off	NOUN
ijassa-604	29	11	between	between	ADP
ijassa-604	29	12	optimality	optimality	NOUN
ijassa-604	29	13	and	and	CCONJ
ijassa-604	29	14	sparsity	sparsity	NOUN
ijassa-604	29	15	of	of	ADP
ijassa-604	29	16	the	the	DET
ijassa-604	29	17	solution	solution	NOUN
ijassa-604	29	18	is	be	AUX
ijassa-604	29	19	proposed	propose	VERB
ijassa-604	29	20	which	which	PRON
ijassa-604	29	21	allows	allow	VERB
ijassa-604	29	22	to	to	PART
ijassa-604	29	23	use	use	VERB
ijassa-604	29	24	various	various	ADJ
ijassa-604	29	25	approximations	approximation	NOUN
ijassa-604	29	26	in	in	ADP
ijassa-604	29	27	a	a	DET
ijassa-604	29	28	similar	similar	ADJ
ijassa-604	29	29	way	way	NOUN
ijassa-604	29	30	.	.	PUNCT
ijassa-604	30	1	the	the	DET
ijassa-604	30	2	key	key	ADJ
ijassa-604	30	3	aspects	aspect	NOUN
ijassa-604	30	4	of	of	ADP
ijassa-604	30	5	this	this	DET
ijassa-604	30	6	paper	paper	NOUN
ijassa-604	30	7	are	be	AUX
ijassa-604	30	8	the	the	DET
ijassa-604	30	9	formulation	formulation	NOUN
ijassa-604	30	10	of	of	ADP
ijassa-604	30	11	several	several	ADJ
ijassa-604	30	12	surrogates	surrogate	NOUN
ijassa-604	30	13	for	for	ADP
ijassa-604	30	14	the	the	DET
ijassa-604	30	15	matrix	matrix	NOUN
ijassa-604	30	16	`	`	PUNCT
ijassa-604	30	17	0	0	NUM
ijassa-604	30	18	-	-	PUNCT
ijassa-604	30	19	quasinorm	quasinorm	NOUN
ijassa-604	30	20	,	,	PUNCT
ijassa-604	30	21	which	which	PRON
ijassa-604	30	22	can	can	AUX
ijassa-604	30	23	be	be	AUX
ijassa-604	30	24	used	use	VERB
ijassa-604	30	25	for	for	ADP
ijassa-604	30	26	promoting	promote	VERB
ijassa-604	30	27	matrix	matrix	NOUN
ijassa-604	30	28	row	row	NOUN
ijassa-604	30	29	-	-	PUNCT
ijassa-604	30	30	sparsity	sparsity	NOUN
ijassa-604	30	31	,	,	PUNCT
ijassa-604	30	32	designing	design	VERB
ijassa-604	30	33	the	the	DET
ijassa-604	30	34	scheme	scheme	NOUN
ijassa-604	30	35	of	of	ADP
ijassa-604	30	36	numerical	numerical	ADJ
ijassa-604	30	37	study	study	NOUN
ijassa-604	30	38	,	,	PUNCT
ijassa-604	30	39	and	and	CCONJ
ijassa-604	30	40	the	the	DET
ijassa-604	30	41	analysis	analysis	NOUN
ijassa-604	30	42	of	of	ADP
ijassa-604	30	43	the	the	DET
ijassa-604	30	44	results	result	NOUN
ijassa-604	30	45	of	of	ADP
ijassa-604	30	46	experiments	experiment	NOUN
ijassa-604	30	47	.	.	PUNCT
ijassa-604	31	1	both	both	DET
ijassa-604	31	2	models	model	NOUN
ijassa-604	31	3	of	of	ADP
ijassa-604	31	4	simple	simple	ADJ
ijassa-604	31	5	systems	system	NOUN
ijassa-604	31	6	and	and	CCONJ
ijassa-604	31	7	linearized	linearized	ADJ
ijassa-604	31	8	models	model	NOUN
ijassa-604	31	9	of	of	ADP
ijassa-604	31	10	real	real	ADJ
ijassa-604	31	11	systems	system	NOUN
ijassa-604	31	12	were	be	AUX
ijassa-604	31	13	chosen	choose	VERB
ijassa-604	31	14	as	as	ADP
ijassa-604	31	15	test	test	NOUN
ijassa-604	31	16	cases	case	NOUN
ijassa-604	31	17	for	for	ADP
ijassa-604	31	18	conducting	conduct	VERB
ijassa-604	31	19	the	the	DET
ijassa-604	31	20	numerical	numerical	ADJ
ijassa-604	31	21	experiment	experiment	NOUN
ijassa-604	31	22	.	.	PUNCT
ijassa-604	32	1	also	also	ADV
ijassa-604	32	2	,	,	PUNCT
ijassa-604	32	3	various	various	ADJ
ijassa-604	32	4	software	software	NOUN
ijassa-604	32	5	for	for	ADP
ijassa-604	32	6	numerical	numerical	ADJ
ijassa-604	32	7	computing	computing	PROPN
ijassa-604	32	8	[	[	X
ijassa-604	32	9	5	5	NUM
ijassa-604	32	10	,	,	PUNCT
ijassa-604	32	11	18	18	NUM
ijassa-604	32	12	,	,	PUNCT
ijassa-604	32	13	19	19	NUM
ijassa-604	32	14	]	]	PUNCT
ijassa-604	32	15	,	,	PUNCT
ijassa-604	32	16	and	and	CCONJ
ijassa-604	32	17	algorithms	algorithm	NOUN
ijassa-604	32	18	for	for	ADP
ijassa-604	32	19	nonconvex	nonconvex	NOUN
ijassa-604	32	20	optimization	optimization	NOUN
ijassa-604	32	21	[	[	X
ijassa-604	32	22	3	3	NUM
ijassa-604	32	23	,	,	PUNCT
ijassa-604	32	24	21	21	NUM
ijassa-604	32	25	]	]	PUNCT
ijassa-604	32	26	were	be	AUX
ijassa-604	32	27	used	use	VERB
ijassa-604	32	28	.	.	PUNCT
ijassa-604	33	1	numerical	numerical	PROPN
ijassa-604	33	2	study	study	PROPN
ijassa-604	33	3	is	be	AUX
ijassa-604	33	4	the	the	DET
ijassa-604	33	5	central	central	ADJ
ijassa-604	33	6	part	part	NOUN
ijassa-604	33	7	of	of	ADP
ijassa-604	33	8	this	this	DET
ijassa-604	33	9	paper	paper	NOUN
ijassa-604	33	10	due	due	ADP
ijassa-604	33	11	to	to	ADP
ijassa-604	33	12	the	the	DET
ijassa-604	33	13	following	follow	VERB
ijassa-604	33	14	reason	reason	NOUN
ijassa-604	33	15	.	.	PUNCT
ijassa-604	34	1	although	although	SCONJ
ijassa-604	34	2	the	the	DET
ijassa-604	34	3	approach	approach	NOUN
ijassa-604	34	4	based	base	VERB
ijassa-604	34	5	on	on	ADP
ijassa-604	34	6	convex	convex	ADJ
ijassa-604	34	7	surrogates	surrogate	NOUN
ijassa-604	34	8	heuristic	heuristic	ADJ
ijassa-604	34	9	is	be	AUX
ijassa-604	34	10	said	say	VERB
ijassa-604	34	11	to	to	PART
ijassa-604	34	12	be	be	AUX
ijassa-604	34	13	efficient	efficient	ADJ
ijassa-604	34	14	,	,	PUNCT
ijassa-604	34	15	one	one	PRON
ijassa-604	34	16	can	can	AUX
ijassa-604	34	17	not	not	PART
ijassa-604	34	18	be	be	AUX
ijassa-604	34	19	sure	sure	ADJ
ijassa-604	34	20	about	about	ADP
ijassa-604	34	21	getting	get	VERB
ijassa-604	34	22	zero	zero	NUM
ijassa-604	34	23	rows	row	NOUN
ijassa-604	34	24	in	in	ADP
ijassa-604	34	25	the	the	DET
ijassa-604	34	26	gain	gain	NOUN
ijassa-604	34	27	matrix	matrix	NOUN
ijassa-604	34	28	.	.	PUNCT
ijassa-604	35	1	thus	thus	ADV
ijassa-604	35	2	,	,	PUNCT
ijassa-604	35	3	different	different	ADJ
ijassa-604	35	4	surrogates	surrogate	NOUN
ijassa-604	35	5	demonstrate	demonstrate	VERB
ijassa-604	35	6	different	different	ADJ
ijassa-604	35	7	efficiency	efficiency	NOUN
ijassa-604	35	8	for	for	ADP
ijassa-604	35	9	different	different	ADJ
ijassa-604	35	10	problems	problem	NOUN
ijassa-604	35	11	;	;	PUNCT
ijassa-604	35	12	this	this	DET
ijassa-604	35	13	paper	paper	NOUN
ijassa-604	35	14	aims	aim	VERB
ijassa-604	35	15	to	to	PART
ijassa-604	35	16	study	study	VERB
ijassa-604	35	17	the	the	DET
ijassa-604	35	18	efficiency	efficiency	NOUN
ijassa-604	35	19	of	of	ADP
ijassa-604	35	20	various	various	ADJ
ijassa-604	35	21	approximations	approximation	NOUN
ijassa-604	35	22	.	.	PUNCT
ijassa-604	36	1	our	our	PRON
ijassa-604	36	2	paper	paper	NOUN
ijassa-604	36	3	essentially	essentially	ADV
ijassa-604	36	4	exploits	exploit	VERB
ijassa-604	36	5	linear	linear	ADJ
ijassa-604	36	6	matrix	matrix	NOUN
ijassa-604	36	7	inequality	inequality	NOUN
ijassa-604	36	8	(	(	PUNCT
ijassa-604	36	9	lmi	lmi	PROPN
ijassa-604	36	10	,	,	PUNCT
ijassa-604	36	11	[	[	X
ijassa-604	36	12	1	1	NUM
ijassa-604	36	13	]	]	NOUN
ijassa-604	36	14	)	)	PUNCT
ijassa-604	36	15	technique	technique	NOUN
ijassa-604	36	16	,	,	PUNCT
ijassa-604	36	17	which	which	PRON
ijassa-604	36	18	allows	allow	VERB
ijassa-604	36	19	to	to	PART
ijassa-604	36	20	formulate	formulate	VERB
ijassa-604	36	21	many	many	ADJ
ijassa-604	36	22	classical	classical	ADJ
ijassa-604	36	23	problems	problem	NOUN
ijassa-604	36	24	from	from	ADP
ijassa-604	36	25	control	control	NOUN
ijassa-604	36	26	theory	theory	NOUN
ijassa-604	36	27	in	in	ADP
ijassa-604	36	28	the	the	DET
ijassa-604	36	29	form	form	NOUN
ijassa-604	36	30	of	of	ADP
ijassa-604	36	31	semidefinite	semidefinite	PROPN
ijassa-604	36	32	programs	program	NOUN
ijassa-604	36	33	(	(	PUNCT
ijassa-604	36	34	sdp	sdp	NOUN
ijassa-604	36	35	,	,	PUNCT
ijassa-604	36	36	[	[	X
ijassa-604	36	37	20	20	NUM
ijassa-604	36	38	]	]	NUM
ijassa-604	36	39	)	)	PUNCT
ijassa-604	36	40	.	.	PUNCT
ijassa-604	37	1	2	2	X
ijassa-604	37	2	.	.	X
ijassa-604	37	3	sparse	sparse	VERB
ijassa-604	37	4	feedback	feedback	NOUN
ijassa-604	37	5	design	design	NOUN
ijassa-604	37	6	in	in	ADP
ijassa-604	37	7	optimal	optimal	ADJ
ijassa-604	37	8	control	control	NOUN
ijassa-604	37	9	problems	problem	NOUN
ijassa-604	37	10	consider	consider	VERB
ijassa-604	37	11	the	the	DET
ijassa-604	37	12	following	follow	VERB
ijassa-604	37	13	control	control	NOUN
ijassa-604	37	14	system	system	NOUN
ijassa-604	37	15	:	:	PUNCT
ijassa-604	37	16	ẋ	ẋ	PROPN
ijassa-604	37	17	=	=	SYM
ijassa-604	37	18	ax+bu	ax+bu	NOUN
ijassa-604	37	19	,	,	PUNCT
ijassa-604	37	20	x(0	x(0	PROPN
ijassa-604	37	21	)	)	PUNCT
ijassa-604	37	22	=	=	PUNCT
ijassa-604	38	1	x0	x0	PROPN
ijassa-604	38	2	,	,	PUNCT
ijassa-604	38	3	(	(	PUNCT
ijassa-604	38	4	2.1	2.1	NUM
ijassa-604	38	5	)	)	PUNCT
ijassa-604	38	6	where	where	SCONJ
ijassa-604	38	7	x(t	x(t	PROPN
ijassa-604	38	8	)	)	PUNCT
ijassa-604	38	9	∈	∈	PROPN
ijassa-604	38	10	rn	rn	PROPN
ijassa-604	38	11	is	be	AUX
ijassa-604	38	12	the	the	DET
ijassa-604	38	13	state	state	NOUN
ijassa-604	38	14	vector	vector	NOUN
ijassa-604	38	15	,	,	PUNCT
ijassa-604	38	16	u(t	u(t	NOUN
ijassa-604	38	17	)	)	PUNCT
ijassa-604	38	18	∈	∈	PROPN
ijassa-604	38	19	rp	rp	NOUN
ijassa-604	38	20	is	be	AUX
ijassa-604	38	21	the	the	DET
ijassa-604	38	22	control	control	NOUN
ijassa-604	38	23	input	input	NOUN
ijassa-604	38	24	,	,	PUNCT
ijassa-604	38	25	a	a	DET
ijassa-604	38	26	∈	∈	NOUN
ijassa-604	38	27	rn×n	rn×n	NOUN
ijassa-604	38	28	,	,	PUNCT
ijassa-604	38	29	b	b	PROPN
ijassa-604	38	30	∈	∈	PROPN
ijassa-604	38	31	rn×p	rn×p	PROPN
ijassa-604	38	32	,	,	PUNCT
ijassa-604	38	33	and	and	CCONJ
ijassa-604	38	34	the	the	DET
ijassa-604	38	35	pair	pair	NOUN
ijassa-604	38	36	(	(	PUNCT
ijassa-604	38	37	a	a	DET
ijassa-604	38	38	,	,	PUNCT
ijassa-604	38	39	b	b	NOUN
ijassa-604	38	40	)	)	PUNCT
ijassa-604	38	41	is	be	AUX
ijassa-604	38	42	assumed	assume	VERB
ijassa-604	38	43	to	to	PART
ijassa-604	38	44	be	be	AUX
ijassa-604	38	45	controllable	controllable	ADJ
ijassa-604	38	46	.	.	PUNCT
ijassa-604	39	1	if	if	SCONJ
ijassa-604	39	2	system	system	NOUN
ijassa-604	39	3	(	(	PUNCT
ijassa-604	39	4	2.1	2.1	NUM
ijassa-604	39	5	)	)	PUNCT
ijassa-604	39	6	is	be	AUX
ijassa-604	39	7	not	not	PART
ijassa-604	39	8	stable	stable	ADJ
ijassa-604	39	9	,	,	PUNCT
ijassa-604	39	10	a	a	DET
ijassa-604	39	11	stabilizing	stabilizing	NOUN
ijassa-604	39	12	control	control	NOUN
ijassa-604	39	13	is	be	AUX
ijassa-604	39	14	to	to	PART
ijassa-604	39	15	be	be	AUX
ijassa-604	39	16	found	find	VERB
ijassa-604	39	17	,	,	PUNCT
ijassa-604	39	18	which	which	PRON
ijassa-604	39	19	also	also	ADV
ijassa-604	39	20	has	have	VERB
ijassa-604	39	21	to	to	PART
ijassa-604	39	22	minimize	minimize	VERB
ijassa-604	39	23	an	an	DET
ijassa-604	39	24	objective	objective	ADJ
ijassa-604	39	25	function	function	NOUN
ijassa-604	39	26	along	along	ADP
ijassa-604	39	27	the	the	DET
ijassa-604	39	28	system	system	NOUN
ijassa-604	39	29	’s	’s	PART
ijassa-604	39	30	trajectories	trajectory	NOUN
ijassa-604	39	31	.	.	PUNCT
ijassa-604	40	1	various	various	ADJ
ijassa-604	40	2	formulations	formulation	NOUN
ijassa-604	40	3	differ	differ	VERB
ijassa-604	40	4	in	in	ADP
ijassa-604	40	5	the	the	DET
ijassa-604	40	6	form	form	NOUN
ijassa-604	40	7	of	of	ADP
ijassa-604	40	8	the	the	DET
ijassa-604	40	9	control	control	NOUN
ijassa-604	40	10	input	input	NOUN
ijassa-604	40	11	;	;	PUNCT
ijassa-604	40	12	in	in	ADP
ijassa-604	40	13	this	this	DET
ijassa-604	40	14	paper	paper	NOUN
ijassa-604	40	15	we	we	PRON
ijassa-604	40	16	exploit	exploit	VERB
ijassa-604	40	17	a	a	DET
ijassa-604	40	18	static	static	ADJ
ijassa-604	40	19	state	state	NOUN
ijassa-604	40	20	linear	linear	ADJ
ijassa-604	40	21	feedback	feedback	NOUN
ijassa-604	40	22	form	form	NOUN
ijassa-604	40	23	:	:	PUNCT
ijassa-604	40	24	u	u	PROPN
ijassa-604	40	25	=	=	PROPN
ijassa-604	40	26	kx	kx	PROPN
ijassa-604	40	27	,	,	PUNCT
ijassa-604	40	28	k	k	PROPN
ijassa-604	40	29	∈	∈	PROPN
ijassa-604	40	30	rp×n	rp×n	PROPN
ijassa-604	40	31	.	.	PUNCT
ijassa-604	41	1	(	(	PUNCT
ijassa-604	41	2	2.2	2.2	NUM
ijassa-604	41	3	)	)	PUNCT
ijassa-604	41	4	from	from	ADP
ijassa-604	41	5	this	this	DET
ijassa-604	41	6	point	point	NOUN
ijassa-604	41	7	,	,	PUNCT
ijassa-604	41	8	we	we	PRON
ijassa-604	41	9	consider	consider	VERB
ijassa-604	41	10	the	the	DET
ijassa-604	41	11	lqr	lqr	PROPN
ijassa-604	41	12	(	(	PUNCT
ijassa-604	41	13	linear	linear	PROPN
ijassa-604	41	14	control	control	NOUN
ijassa-604	41	15	regulation	regulation	NOUN
ijassa-604	41	16	)	)	PUNCT
ijassa-604	41	17	problem	problem	NOUN
ijassa-604	41	18	,	,	PUNCT
ijassa-604	41	19	the	the	DET
ijassa-604	41	20	approach	approach	NOUN
ijassa-604	41	21	and	and	CCONJ
ijassa-604	41	22	the	the	DET
ijassa-604	41	23	numerical	numerical	ADJ
ijassa-604	41	24	experiment	experiment	NOUN
ijassa-604	41	25	being	be	AUX
ijassa-604	41	26	applicable	applicable	ADJ
ijassa-604	41	27	to	to	ADP
ijassa-604	41	28	other	other	ADJ
ijassa-604	41	29	optimal	optimal	ADJ
ijassa-604	41	30	control	control	NOUN
ijassa-604	41	31	problems	problem	NOUN
ijassa-604	41	32	.	.	PUNCT
ijassa-604	42	1	in	in	ADP
ijassa-604	42	2	the	the	DET
ijassa-604	42	3	lqr	lqr	NOUN
ijassa-604	42	4	copyright	copyright	NOUN
ijassa-604	42	5	c	c	ADP
ijassa-604	42	6	©	©	PROPN
ijassa-604	42	7	2018	2018	NUM
ijassa-604	42	8	assa	assa	NOUN
ijassa-604	42	9	.	.	PUNCT
ijassa-604	43	1	adv	adv	PROPN
ijassa-604	43	2	syst	syst	PROPN
ijassa-604	43	3	sci	sci	PROPN
ijassa-604	43	4	appl	appl	PROPN
ijassa-604	43	5	(	(	PUNCT
ijassa-604	43	6	2018	2018	NUM
ijassa-604	43	7	)	)	PUNCT
ijassa-604	43	8	surrogates	surrogate	NOUN
ijassa-604	43	9	for	for	ADP
ijassa-604	43	10	the	the	DET
ijassa-604	43	11	matrix	matrix	NOUN
ijassa-604	43	12	`	`	PUNCT
ijassa-604	43	13	0	0	NUM
ijassa-604	43	14	-	-	PUNCT
ijassa-604	43	15	quasinorm	quasinorm	NOUN
ijassa-604	43	16	13	13	NUM
ijassa-604	43	17	problem	problem	NOUN
ijassa-604	43	18	,	,	PUNCT
ijassa-604	43	19	the	the	DET
ijassa-604	43	20	objective	objective	ADJ
ijassa-604	43	21	function	function	NOUN
ijassa-604	43	22	has	have	VERB
ijassa-604	43	23	the	the	DET
ijassa-604	43	24	form	form	NOUN
ijassa-604	43	25	of	of	ADP
ijassa-604	43	26	the	the	DET
ijassa-604	43	27	following	follow	VERB
ijassa-604	43	28	quadratic	quadratic	ADJ
ijassa-604	43	29	functional	functional	ADJ
ijassa-604	43	30	:	:	PUNCT
ijassa-604	43	31	j	j	PROPN
ijassa-604	43	32	=	=	SYM
ijassa-604	43	33	∞∫	∞∫	PROPN
ijassa-604	43	34	0	0	PUNCT
ijassa-604	44	1	(	(	PUNCT
ijassa-604	44	2	x	x	X
ijassa-604	44	3	>	>	X
ijassa-604	44	4	rx+	rx+	ADJ
ijassa-604	44	5	u	u	PROPN
ijassa-604	44	6	>	>	PROPN
ijassa-604	44	7	su	su	PROPN
ijassa-604	44	8	)	)	PUNCT
ijassa-604	45	1	dt	dt	PROPN
ijassa-604	45	2	,	,	PUNCT
ijassa-604	45	3	(	(	PUNCT
ijassa-604	45	4	2.3	2.3	NUM
ijassa-604	45	5	)	)	PUNCT
ijassa-604	45	6	where	where	SCONJ
ijassa-604	45	7	r	r	NOUN
ijassa-604	45	8	∈	∈	NOUN
ijassa-604	45	9	rn×n	rn×n	PROPN
ijassa-604	45	10	and	and	CCONJ
ijassa-604	45	11	s	s	NOUN
ijassa-604	45	12	∈	∈	NOUN
ijassa-604	45	13	rp×p	rp×p	PROPN
ijassa-604	45	14	are	be	AUX
ijassa-604	45	15	positive	positive	ADJ
ijassa-604	45	16	–	–	PUNCT
ijassa-604	45	17	definite	definite	ADJ
ijassa-604	45	18	matrices	matrix	NOUN
ijassa-604	45	19	.	.	PUNCT
ijassa-604	46	1	it	it	PRON
ijassa-604	46	2	is	be	AUX
ijassa-604	46	3	worth	worth	ADJ
ijassa-604	46	4	emphasizing	emphasize	VERB
ijassa-604	46	5	that	that	SCONJ
ijassa-604	46	6	minimizing	minimize	VERB
ijassa-604	46	7	functional	functional	ADJ
ijassa-604	46	8	(	(	PUNCT
ijassa-604	46	9	2.3	2.3	NUM
ijassa-604	46	10	)	)	PUNCT
ijassa-604	46	11	automatically	automatically	ADV
ijassa-604	46	12	leads	lead	VERB
ijassa-604	46	13	to	to	ADP
ijassa-604	46	14	stabilizing	stabilize	VERB
ijassa-604	46	15	system	system	NOUN
ijassa-604	46	16	(	(	PUNCT
ijassa-604	46	17	2.1	2.1	NUM
ijassa-604	46	18	)	)	PUNCT
ijassa-604	46	19	.	.	PUNCT
ijassa-604	47	1	indeed	indeed	ADV
ijassa-604	47	2	,	,	PUNCT
ijassa-604	47	3	if	if	SCONJ
ijassa-604	47	4	the	the	DET
ijassa-604	47	5	system	system	NOUN
ijassa-604	47	6	was	be	AUX
ijassa-604	47	7	unstable	unstable	ADJ
ijassa-604	47	8	,	,	PUNCT
ijassa-604	47	9	integral	integral	ADJ
ijassa-604	47	10	(	(	PUNCT
ijassa-604	47	11	2.3	2.3	NUM
ijassa-604	47	12	)	)	PUNCT
ijassa-604	47	13	would	would	AUX
ijassa-604	47	14	be	be	AUX
ijassa-604	47	15	divergent	divergent	ADJ
ijassa-604	47	16	;	;	PUNCT
ijassa-604	47	17	however	however	ADV
ijassa-604	47	18	,	,	PUNCT
ijassa-604	47	19	since	since	SCONJ
ijassa-604	47	20	the	the	DET
ijassa-604	47	21	pair	pair	NOUN
ijassa-604	47	22	(	(	PUNCT
ijassa-604	47	23	a	a	DET
ijassa-604	47	24	,	,	PUNCT
ijassa-604	47	25	b	b	NOUN
ijassa-604	47	26	)	)	PUNCT
ijassa-604	47	27	is	be	AUX
ijassa-604	47	28	controllable	controllable	ADJ
ijassa-604	47	29	,	,	PUNCT
ijassa-604	47	30	there	there	PRON
ijassa-604	47	31	exists	exist	VERB
ijassa-604	47	32	a	a	DET
ijassa-604	47	33	controller	controller	NOUN
ijassa-604	47	34	,	,	PUNCT
ijassa-604	47	35	which	which	PRON
ijassa-604	47	36	makes	make	VERB
ijassa-604	47	37	the	the	DET
ijassa-604	47	38	functional	functional	ADJ
ijassa-604	47	39	j	j	PROPN
ijassa-604	47	40	finitely	finitely	ADV
ijassa-604	47	41	valued	value	VERB
ijassa-604	47	42	.	.	PUNCT
ijassa-604	48	1	the	the	DET
ijassa-604	48	2	standard	standard	ADJ
ijassa-604	48	3	way	way	NOUN
ijassa-604	48	4	of	of	ADP
ijassa-604	48	5	solving	solve	VERB
ijassa-604	48	6	the	the	DET
ijassa-604	48	7	lqr	lqr	PROPN
ijassa-604	48	8	problem	problem	NOUN
ijassa-604	48	9	consists	consist	VERB
ijassa-604	48	10	in	in	ADP
ijassa-604	48	11	finding	find	VERB
ijassa-604	48	12	a	a	DET
ijassa-604	48	13	solution	solution	NOUN
ijassa-604	48	14	to	to	ADP
ijassa-604	48	15	the	the	DET
ijassa-604	48	16	associated	associated	ADJ
ijassa-604	48	17	algebraic	algebraic	PROPN
ijassa-604	48	18	riccati	riccati	PROPN
ijassa-604	48	19	equation	equation	NOUN
ijassa-604	48	20	;	;	PUNCT
ijassa-604	48	21	however	however	ADV
ijassa-604	48	22	,	,	PUNCT
ijassa-604	48	23	in	in	ADP
ijassa-604	48	24	this	this	DET
ijassa-604	48	25	paper	paper	NOUN
ijassa-604	48	26	we	we	PRON
ijassa-604	48	27	adhere	adhere	VERB
ijassa-604	48	28	to	to	ADP
ijassa-604	48	29	another	another	DET
ijassa-604	48	30	approach	approach	NOUN
ijassa-604	48	31	(	(	PUNCT
ijassa-604	48	32	e.g.	e.g.	ADV
ijassa-604	48	33	,	,	PUNCT
ijassa-604	48	34	see	see	VERB
ijassa-604	48	35	[	[	X
ijassa-604	48	36	7	7	NUM
ijassa-604	48	37	]	]	PUNCT
ijassa-604	48	38	)	)	PUNCT
ijassa-604	48	39	based	base	VERB
ijassa-604	48	40	on	on	ADP
ijassa-604	48	41	the	the	DET
ijassa-604	48	42	linear	linear	ADJ
ijassa-604	48	43	matrix	matrix	NOUN
ijassa-604	48	44	inequality	inequality	NOUN
ijassa-604	48	45	technique	technique	NOUN
ijassa-604	48	46	.	.	PUNCT
ijassa-604	49	1	in	in	ADP
ijassa-604	49	2	[	[	X
ijassa-604	49	3	7	7	NUM
ijassa-604	49	4	]	]	PUNCT
ijassa-604	49	5	,	,	PUNCT
ijassa-604	49	6	the	the	DET
ijassa-604	49	7	classical	classical	ADJ
ijassa-604	49	8	lqr	lqr	NOUN
ijassa-604	49	9	problem	problem	NOUN
ijassa-604	49	10	is	be	AUX
ijassa-604	49	11	reduced	reduce	VERB
ijassa-604	49	12	to	to	ADP
ijassa-604	49	13	the	the	DET
ijassa-604	49	14	following	follow	VERB
ijassa-604	49	15	sdp	sdp	NOUN
ijassa-604	49	16	problem	problem	NOUN
ijassa-604	49	17	:	:	PUNCT
ijassa-604	49	18	problem	problem	NOUN
ijassa-604	49	19	1	1	NUM
ijassa-604	49	20	:	:	PUNCT
ijassa-604	49	21	let	let	VERB
ijassa-604	49	22	popt	popt	VERB
ijassa-604	49	23	,	,	PUNCT
ijassa-604	49	24	yopt	yopt	PROPN
ijassa-604	49	25	be	be	VERB
ijassa-604	49	26	the	the	DET
ijassa-604	49	27	solution	solution	NOUN
ijassa-604	49	28	of	of	ADP
ijassa-604	49	29	the	the	DET
ijassa-604	49	30	sdp	sdp	NOUN
ijassa-604	49	31	trp	trp	PROPN
ijassa-604	49	32	−→	−→	PROPN
ijassa-604	49	33	max	max	PROPN
ijassa-604	49	34	s.t	s.t	PROPN
ijassa-604	49	35	.	.	PROPN
ijassa-604	50	1	(	(	PUNCT
ijassa-604	50	2	ap	ap	PROPN
ijassa-604	51	1	+	+	CCONJ
ijassa-604	51	2	pa	pa	PROPN
ijassa-604	51	3	>	>	X
ijassa-604	51	4	+	+	PROPN
ijassa-604	51	5	by	by	ADP
ijassa-604	51	6	+	+	X
ijassa-604	51	7	y	y	PROPN
ijassa-604	51	8	>	>	X
ijassa-604	51	9	b	b	X
ijassa-604	51	10	>	>	X
ijassa-604	51	11	p	p	PROPN
ijassa-604	51	12	y	y	PROPN
ijassa-604	51	13	>	>	X
ijassa-604	51	14	∗	∗	VERB
ijassa-604	51	15	−r−1	−r−1	NUM
ijassa-604	51	16	0	0	NUM
ijassa-604	51	17	∗	∗	NOUN
ijassa-604	51	18	∗	∗	X
ijassa-604	51	19	−s−1	−s−1	NUM
ijassa-604	51	20	)	)	PUNCT
ijassa-604	51	21	4	4	NUM
ijassa-604	51	22	0	0	NUM
ijassa-604	51	23	,	,	PUNCT
ijassa-604	51	24	(	(	PUNCT
ijassa-604	51	25	2.4	2.4	NUM
ijassa-604	51	26	)	)	PUNCT
ijassa-604	51	27	then	then	ADV
ijassa-604	51	28	the	the	DET
ijassa-604	51	29	controller	controller	NOUN
ijassa-604	51	30	(	(	PUNCT
ijassa-604	51	31	2.2	2.2	NUM
ijassa-604	51	32	)	)	PUNCT
ijassa-604	51	33	with	with	ADP
ijassa-604	51	34	gain	gain	NOUN
ijassa-604	51	35	matrix	matrix	NOUN
ijassa-604	51	36	kopt	kopt	NOUN
ijassa-604	51	37	=	=	SYM
ijassa-604	51	38	yoptp	yoptp	PROPN
ijassa-604	51	39	−1	−1	NOUN
ijassa-604	51	40	opt	opt	NOUN
ijassa-604	51	41	(	(	PUNCT
ijassa-604	51	42	2.5	2.5	NUM
ijassa-604	51	43	)	)	PUNCT
ijassa-604	51	44	stabilizes	stabilize	VERB
ijassa-604	51	45	system	system	NOUN
ijassa-604	51	46	(	(	PUNCT
ijassa-604	51	47	2.1	2.1	NUM
ijassa-604	51	48	)	)	PUNCT
ijassa-604	51	49	,	,	PUNCT
ijassa-604	51	50	the	the	DET
ijassa-604	51	51	objective	objective	ADJ
ijassa-604	51	52	functional	functional	ADJ
ijassa-604	51	53	(	(	PUNCT
ijassa-604	51	54	2.3	2.3	NUM
ijassa-604	51	55	)	)	PUNCT
ijassa-604	51	56	being	be	AUX
ijassa-604	51	57	minimized	minimize	VERB
ijassa-604	51	58	,	,	PUNCT
ijassa-604	51	59	and	and	CCONJ
ijassa-604	51	60	the	the	DET
ijassa-604	51	61	optimal	optimal	ADJ
ijassa-604	51	62	value	value	NOUN
ijassa-604	51	63	of	of	ADP
ijassa-604	51	64	the	the	DET
ijassa-604	51	65	functional	functional	ADJ
ijassa-604	51	66	is	be	AUX
ijassa-604	51	67	equal	equal	ADJ
ijassa-604	51	68	to	to	PART
ijassa-604	51	69	jopt	jopt	VERB
ijassa-604	51	70	=	=	PUNCT
ijassa-604	51	71	x>0	x>0	PROPN
ijassa-604	51	72	p	p	X
ijassa-604	51	73	−1	−1	NOUN
ijassa-604	51	74	optx0	optx0	PROPN
ijassa-604	51	75	.	.	PUNCT
ijassa-604	52	1	(	(	PUNCT
ijassa-604	52	2	2.6	2.6	NUM
ijassa-604	52	3	)	)	PUNCT
ijassa-604	52	4	this	this	DET
ijassa-604	52	5	approach	approach	NOUN
ijassa-604	52	6	involving	involve	VERB
ijassa-604	52	7	lmis	lmis	PROPN
ijassa-604	52	8	can	can	AUX
ijassa-604	52	9	be	be	AUX
ijassa-604	52	10	very	very	ADV
ijassa-604	52	11	useful	useful	ADJ
ijassa-604	52	12	,	,	PUNCT
ijassa-604	52	13	for	for	ADP
ijassa-604	52	14	instance	instance	NOUN
ijassa-604	52	15	,	,	PUNCT
ijassa-604	52	16	for	for	ADP
ijassa-604	52	17	robust	robust	ADJ
ijassa-604	52	18	formulations	formulation	NOUN
ijassa-604	52	19	where	where	SCONJ
ijassa-604	52	20	the	the	DET
ijassa-604	52	21	matrices	matrix	NOUN
ijassa-604	52	22	of	of	ADP
ijassa-604	52	23	the	the	DET
ijassa-604	52	24	system	system	NOUN
ijassa-604	52	25	contain	contain	VERB
ijassa-604	52	26	uncertainty	uncertainty	NOUN
ijassa-604	52	27	.	.	PUNCT
ijassa-604	53	1	but	but	CCONJ
ijassa-604	53	2	what	what	PRON
ijassa-604	53	3	’s	’	VERB
ijassa-604	53	4	more	more	ADV
ijassa-604	53	5	important	important	ADJ
ijassa-604	53	6	for	for	ADP
ijassa-604	53	7	the	the	DET
ijassa-604	53	8	current	current	ADJ
ijassa-604	53	9	paper	paper	NOUN
ijassa-604	53	10	,	,	PUNCT
ijassa-604	53	11	it	it	PRON
ijassa-604	53	12	is	be	AUX
ijassa-604	53	13	the	the	DET
ijassa-604	53	14	lmi	lmi	PROPN
ijassa-604	53	15	-	-	PUNCT
ijassa-604	53	16	based	base	VERB
ijassa-604	53	17	approach	approach	NOUN
ijassa-604	53	18	that	that	PRON
ijassa-604	53	19	allows	allow	VERB
ijassa-604	53	20	to	to	PART
ijassa-604	53	21	solve	solve	VERB
ijassa-604	53	22	the	the	DET
ijassa-604	53	23	problem	problem	NOUN
ijassa-604	53	24	in	in	ADP
ijassa-604	53	25	sparse	sparse	ADJ
ijassa-604	53	26	formulations	formulation	NOUN
ijassa-604	53	27	.	.	PUNCT
ijassa-604	54	1	as	as	SCONJ
ijassa-604	54	2	it	it	PRON
ijassa-604	54	3	was	be	AUX
ijassa-604	54	4	mentioned	mention	VERB
ijassa-604	54	5	,	,	PUNCT
ijassa-604	54	6	the	the	DET
ijassa-604	54	7	sparse	sparse	ADJ
ijassa-604	54	8	formulation	formulation	NOUN
ijassa-604	54	9	that	that	PRON
ijassa-604	54	10	we	we	PRON
ijassa-604	54	11	consider	consider	VERB
ijassa-604	54	12	,	,	PUNCT
ijassa-604	54	13	imposes	impose	VERB
ijassa-604	54	14	an	an	DET
ijassa-604	54	15	additional	additional	ADJ
ijassa-604	54	16	requirement	requirement	NOUN
ijassa-604	54	17	on	on	ADP
ijassa-604	54	18	the	the	DET
ijassa-604	54	19	structure	structure	NOUN
ijassa-604	54	20	of	of	ADP
ijassa-604	54	21	the	the	DET
ijassa-604	54	22	gain	gain	NOUN
ijassa-604	54	23	matrix	matrix	NOUN
ijassa-604	54	24	;	;	PUNCT
ijassa-604	54	25	namely	namely	ADV
ijassa-604	54	26	the	the	DET
ijassa-604	54	27	intention	intention	NOUN
ijassa-604	54	28	is	be	AUX
ijassa-604	54	29	to	to	PART
ijassa-604	54	30	have	have	VERB
ijassa-604	54	31	as	as	ADV
ijassa-604	54	32	many	many	ADJ
ijassa-604	54	33	zero	zero	NUM
ijassa-604	54	34	rows	row	NOUN
ijassa-604	54	35	in	in	ADP
ijassa-604	54	36	matrix	matrix	NOUN
ijassa-604	54	37	k	k	NOUN
ijassa-604	54	38	as	as	ADP
ijassa-604	54	39	possible	possible	ADJ
ijassa-604	54	40	.	.	PUNCT
ijassa-604	55	1	clearly	clearly	ADV
ijassa-604	55	2	,	,	PUNCT
ijassa-604	55	3	due	due	ADP
ijassa-604	55	4	to	to	ADP
ijassa-604	55	5	the	the	DET
ijassa-604	55	6	structural	structural	ADJ
ijassa-604	55	7	constraint	constraint	NOUN
ijassa-604	55	8	on	on	ADP
ijassa-604	55	9	the	the	DET
ijassa-604	55	10	matrix	matrix	NOUN
ijassa-604	55	11	k	k	NOUN
ijassa-604	55	12	,	,	PUNCT
ijassa-604	55	13	the	the	DET
ijassa-604	55	14	feasible	feasible	ADJ
ijassa-604	55	15	set	set	NOUN
ijassa-604	55	16	of	of	ADP
ijassa-604	55	17	controllers	controller	NOUN
ijassa-604	55	18	becomes	become	VERB
ijassa-604	55	19	smaller	small	ADJ
ijassa-604	55	20	,	,	PUNCT
ijassa-604	55	21	so	so	SCONJ
ijassa-604	55	22	that	that	SCONJ
ijassa-604	55	23	a	a	DET
ijassa-604	55	24	drop	drop	NOUN
ijassa-604	55	25	in	in	ADP
ijassa-604	55	26	performance	performance	NOUN
ijassa-604	55	27	of	of	ADP
ijassa-604	55	28	the	the	DET
ijassa-604	55	29	sparse	sparse	ADJ
ijassa-604	55	30	controller	controller	NOUN
ijassa-604	55	31	is	be	AUX
ijassa-604	55	32	unavoidable	unavoidable	ADJ
ijassa-604	55	33	,	,	PUNCT
ijassa-604	55	34	and	and	CCONJ
ijassa-604	55	35	we	we	PRON
ijassa-604	55	36	do	do	AUX
ijassa-604	55	37	not	not	PART
ijassa-604	55	38	want	want	VERB
ijassa-604	55	39	it	it	PRON
ijassa-604	55	40	to	to	PART
ijassa-604	55	41	be	be	AUX
ijassa-604	55	42	significant	significant	ADJ
ijassa-604	55	43	.	.	PUNCT
ijassa-604	56	1	the	the	DET
ijassa-604	56	2	problem	problem	NOUN
ijassa-604	56	3	of	of	ADP
ijassa-604	56	4	comparison	comparison	NOUN
ijassa-604	56	5	of	of	ADP
ijassa-604	56	6	the	the	DET
ijassa-604	56	7	two	two	NUM
ijassa-604	56	8	controllers	controller	NOUN
ijassa-604	56	9	with	with	ADP
ijassa-604	56	10	respect	respect	NOUN
ijassa-604	56	11	to	to	ADP
ijassa-604	56	12	a	a	DET
ijassa-604	56	13	quadratic	quadratic	ADJ
ijassa-604	56	14	performance	performance	NOUN
ijassa-604	56	15	index	index	NOUN
ijassa-604	56	16	is	be	AUX
ijassa-604	56	17	not	not	PART
ijassa-604	56	18	as	as	ADV
ijassa-604	56	19	straightforward	straightforward	ADJ
ijassa-604	56	20	as	as	SCONJ
ijassa-604	56	21	it	it	PRON
ijassa-604	56	22	may	may	AUX
ijassa-604	56	23	seem	seem	VERB
ijassa-604	56	24	;	;	PUNCT
ijassa-604	56	25	e.g.	e.g.	ADV
ijassa-604	56	26	,	,	PUNCT
ijassa-604	56	27	see	see	VERB
ijassa-604	56	28	[	[	X
ijassa-604	56	29	8	8	NUM
ijassa-604	56	30	]	]	PUNCT
ijassa-604	56	31	.	.	PUNCT
ijassa-604	57	1	if	if	SCONJ
ijassa-604	57	2	one	one	PRON
ijassa-604	57	3	compares	compare	VERB
ijassa-604	57	4	the	the	DET
ijassa-604	57	5	values	value	NOUN
ijassa-604	57	6	of	of	ADP
ijassa-604	57	7	the	the	DET
ijassa-604	57	8	functional	functional	ADJ
ijassa-604	57	9	j(p	j(p	PROPN
ijassa-604	57	10	)	)	PUNCT
ijassa-604	58	1	=	=	PUNCT
ijassa-604	59	1	x	x	X
ijassa-604	59	2	>	>	X
ijassa-604	59	3	p−1x	p−1x	X
ijassa-604	59	4	corresponding	correspond	VERB
ijassa-604	59	5	to	to	ADP
ijassa-604	59	6	the	the	DET
ijassa-604	59	7	two	two	NUM
ijassa-604	59	8	different	different	ADJ
ijassa-604	59	9	stabilizing	stabilizing	NOUN
ijassa-604	59	10	controllers	controller	NOUN
ijassa-604	59	11	k1	k1	NOUN
ijassa-604	59	12	and	and	CCONJ
ijassa-604	59	13	k2	k2	NOUN
ijassa-604	59	14	with	with	ADP
ijassa-604	59	15	the	the	DET
ijassa-604	59	16	corresponding	corresponding	ADJ
ijassa-604	59	17	matrices	matrix	NOUN
ijassa-604	59	18	p1	p1	NOUN
ijassa-604	59	19	and	and	CCONJ
ijassa-604	59	20	p2	p2	NOUN
ijassa-604	59	21	,	,	PUNCT
ijassa-604	59	22	the	the	DET
ijassa-604	59	23	sign	sign	NOUN
ijassa-604	59	24	of	of	ADP
ijassa-604	59	25	the	the	DET
ijassa-604	59	26	inequality	inequality	NOUN
ijassa-604	59	27	j(p1	j(p1	NOUN
ijassa-604	59	28	)	)	PUNCT
ijassa-604	59	29	≶	≶	VERB
ijassa-604	59	30	j(p2	j(p2	ADV
ijassa-604	59	31	)	)	PUNCT
ijassa-604	59	32	may	may	AUX
ijassa-604	59	33	change	change	VERB
ijassa-604	59	34	depending	depend	VERB
ijassa-604	59	35	on	on	ADP
ijassa-604	59	36	the	the	DET
ijassa-604	59	37	initial	initial	ADJ
ijassa-604	59	38	condition	condition	NOUN
ijassa-604	59	39	x0	x0	PROPN
ijassa-604	59	40	.	.	PUNCT
ijassa-604	60	1	in	in	ADP
ijassa-604	60	2	this	this	DET
ijassa-604	60	3	paper	paper	NOUN
ijassa-604	60	4	we	we	PRON
ijassa-604	60	5	compare	compare	VERB
ijassa-604	60	6	sparse	sparse	ADJ
ijassa-604	60	7	controllers	controller	NOUN
ijassa-604	60	8	with	with	ADP
ijassa-604	60	9	the	the	DET
ijassa-604	60	10	optimal	optimal	ADJ
ijassa-604	60	11	ones	one	NOUN
ijassa-604	60	12	,	,	PUNCT
ijassa-604	60	13	which	which	PRON
ijassa-604	60	14	,	,	PUNCT
ijassa-604	60	15	by	by	ADP
ijassa-604	60	16	construction	construction	NOUN
ijassa-604	60	17	,	,	PUNCT
ijassa-604	60	18	yield	yield	VERB
ijassa-604	60	19	the	the	DET
ijassa-604	60	20	optimal	optimal	ADJ
ijassa-604	60	21	value	value	NOUN
ijassa-604	60	22	of	of	ADP
ijassa-604	60	23	the	the	DET
ijassa-604	60	24	functional	functional	ADJ
ijassa-604	60	25	j	j	PROPN
ijassa-604	60	26	for	for	ADP
ijassa-604	60	27	any	any	DET
ijassa-604	60	28	initial	initial	ADJ
ijassa-604	60	29	condition	condition	NOUN
ijassa-604	60	30	x0	x0	PROPN
ijassa-604	60	31	.	.	PUNCT
ijassa-604	61	1	in	in	ADP
ijassa-604	61	2	other	other	ADJ
ijassa-604	61	3	words	word	NOUN
ijassa-604	61	4	,	,	PUNCT
ijassa-604	61	5	the	the	DET
ijassa-604	61	6	sparse	sparse	ADJ
ijassa-604	61	7	controller	controller	NOUN
ijassa-604	61	8	with	with	ADP
ijassa-604	61	9	matrix	matrix	NOUN
ijassa-604	61	10	psp	psp	NOUN
ijassa-604	61	11	will	will	AUX
ijassa-604	61	12	always	always	ADV
ijassa-604	61	13	lose	lose	VERB
ijassa-604	61	14	the	the	DET
ijassa-604	61	15	optimal	optimal	ADJ
ijassa-604	61	16	controller	controller	NOUN
ijassa-604	61	17	with	with	ADP
ijassa-604	61	18	matrix	matrix	NOUN
ijassa-604	61	19	popt	popt	NOUN
ijassa-604	61	20	in	in	ADP
ijassa-604	61	21	terms	term	NOUN
ijassa-604	61	22	of	of	ADP
ijassa-604	61	23	the	the	DET
ijassa-604	61	24	value	value	NOUN
ijassa-604	61	25	of	of	ADP
ijassa-604	61	26	the	the	DET
ijassa-604	61	27	quadratic	quadratic	ADJ
ijassa-604	61	28	functional	functional	ADJ
ijassa-604	61	29	j	j	PROPN
ijassa-604	61	30	.	.	PUNCT
ijassa-604	62	1	the	the	DET
ijassa-604	62	2	magnitude	magnitude	NOUN
ijassa-604	62	3	of	of	ADP
ijassa-604	62	4	the	the	DET
ijassa-604	62	5	loss	loss	NOUN
ijassa-604	62	6	(	(	PUNCT
ijassa-604	62	7	performance	performance	NOUN
ijassa-604	62	8	drop	drop	NOUN
ijassa-604	62	9	)	)	PUNCT
ijassa-604	62	10	for	for	ADP
ijassa-604	62	11	a	a	DET
ijassa-604	62	12	given	give	VERB
ijassa-604	62	13	initial	initial	ADJ
ijassa-604	62	14	condition	condition	NOUN
ijassa-604	62	15	x0	x0	PROPN
ijassa-604	62	16	is	be	AUX
ijassa-604	62	17	jsp	jsp	PROPN
ijassa-604	62	18	jopt	jopt	PROPN
ijassa-604	62	19	=	=	PUNCT
ijassa-604	62	20	x>0	x>0	PROPN
ijassa-604	62	21	p	p	X
ijassa-604	62	22	−1	−1	NOUN
ijassa-604	62	23	sp	sp	ADP
ijassa-604	62	24	x0	x0	PROPN
ijassa-604	62	25	x>0	x>0	PUNCT
ijassa-604	63	1	p	p	X
ijassa-604	63	2	−1	−1	NOUN
ijassa-604	63	3	optx0	optx0	NOUN
ijassa-604	63	4	;	;	PUNCT
ijassa-604	63	5	copyright	copyright	NOUN
ijassa-604	63	6	c	c	ADP
ijassa-604	63	7	©	©	PROPN
ijassa-604	63	8	2018	2018	NUM
ijassa-604	63	9	assa	assa	NOUN
ijassa-604	63	10	.	.	PUNCT
ijassa-604	64	1	adv	adv	PROPN
ijassa-604	64	2	syst	syst	PROPN
ijassa-604	64	3	sci	sci	PROPN
ijassa-604	64	4	appl	appl	PROPN
ijassa-604	64	5	(	(	PUNCT
ijassa-604	64	6	2018	2018	NUM
ijassa-604	64	7	)	)	PUNCT
ijassa-604	64	8	14	14	NUM
ijassa-604	64	9	a.	a.	NOUN
ijassa-604	64	10	bykov	bykov	NOUN
ijassa-604	64	11	,	,	PUNCT
ijassa-604	64	12	p.	p.	NOUN
ijassa-604	64	13	shcherbakov	shcherbakov	NOUN
ijassa-604	64	14	this	this	DET
ijassa-604	64	15	value	value	NOUN
ijassa-604	64	16	,	,	PUNCT
ijassa-604	64	17	obviously	obviously	ADV
ijassa-604	64	18	,	,	PUNCT
ijassa-604	64	19	can	can	AUX
ijassa-604	64	20	change	change	VERB
ijassa-604	64	21	significantly	significantly	ADV
ijassa-604	64	22	for	for	ADP
ijassa-604	64	23	various	various	ADJ
ijassa-604	64	24	x0	x0	NOUN
ijassa-604	64	25	.	.	PUNCT
ijassa-604	65	1	there	there	PRON
ijassa-604	65	2	is	be	VERB
ijassa-604	65	3	a	a	DET
ijassa-604	65	4	well	well	ADV
ijassa-604	65	5	-	-	PUNCT
ijassa-604	65	6	known	know	VERB
ijassa-604	65	7	approach	approach	NOUN
ijassa-604	65	8	[	[	X
ijassa-604	65	9	11	11	NUM
ijassa-604	65	10	]	]	PUNCT
ijassa-604	65	11	based	base	VERB
ijassa-604	65	12	on	on	ADP
ijassa-604	65	13	averaging	average	VERB
ijassa-604	65	14	the	the	DET
ijassa-604	65	15	values	value	NOUN
ijassa-604	65	16	of	of	ADP
ijassa-604	65	17	j	j	PROPN
ijassa-604	65	18	over	over	ADP
ijassa-604	65	19	initial	initial	ADJ
ijassa-604	65	20	conditions	condition	NOUN
ijassa-604	65	21	uniformly	uniformly	ADV
ijassa-604	65	22	distributed	distribute	VERB
ijassa-604	65	23	on	on	ADP
ijassa-604	65	24	the	the	DET
ijassa-604	65	25	unit	unit	NOUN
ijassa-604	65	26	n	n	CCONJ
ijassa-604	65	27	-	-	PUNCT
ijassa-604	65	28	dimensional	dimensional	ADJ
ijassa-604	65	29	sphere	sphere	NOUN
ijassa-604	65	30	.	.	PUNCT
ijassa-604	66	1	it	it	PRON
ijassa-604	66	2	is	be	AUX
ijassa-604	66	3	not	not	PART
ijassa-604	66	4	hard	hard	ADJ
ijassa-604	66	5	to	to	PART
ijassa-604	66	6	show	show	VERB
ijassa-604	66	7	that	that	SCONJ
ijassa-604	66	8	the	the	DET
ijassa-604	66	9	mathematical	mathematical	ADJ
ijassa-604	66	10	expectation	expectation	NOUN
ijassa-604	66	11	of	of	ADP
ijassa-604	66	12	j	j	PROPN
ijassa-604	66	13	is	be	AUX
ijassa-604	66	14	equal	equal	ADJ
ijassa-604	66	15	to	to	ADP
ijassa-604	66	16	e(x>0	e(x>0	PROPN
ijassa-604	66	17	p	p	NOUN
ijassa-604	66	18	−1x0	−1x0	NOUN
ijassa-604	66	19	)	)	PUNCT
ijassa-604	66	20	=	=	SYM
ijassa-604	66	21	1	1	NUM
ijassa-604	66	22	n	n	X
ijassa-604	66	23	trp−1	trp−1	NOUN
ijassa-604	66	24	;	;	PUNCT
ijassa-604	66	25	thus	thus	ADV
ijassa-604	66	26	the	the	DET
ijassa-604	66	27	magnitude	magnitude	NOUN
ijassa-604	66	28	of	of	ADP
ijassa-604	66	29	the	the	DET
ijassa-604	66	30	sparse	sparse	ADJ
ijassa-604	66	31	-	-	PUNCT
ijassa-604	66	32	to	to	ADP
ijassa-604	66	33	-	-	PUNCT
ijassa-604	66	34	optimal	optimal	ADJ
ijassa-604	66	35	control	control	NOUN
ijassa-604	66	36	loss	loss	NOUN
ijassa-604	66	37	“	"	PUNCT
ijassa-604	66	38	on	on	ADP
ijassa-604	66	39	the	the	DET
ijassa-604	66	40	average	average	NOUN
ijassa-604	66	41	”	"	PUNCT
ijassa-604	66	42	equals	equal	VERB
ijassa-604	66	43	jsp	jsp	PROPN
ijassa-604	66	44	jopt	jopt	PROPN
ijassa-604	66	45	=	=	PUNCT
ijassa-604	66	46	trp−1sp	trp−1sp	PROPN
ijassa-604	66	47	trp−1opt	trp−1opt	VERB
ijassa-604	66	48	.	.	PUNCT
ijassa-604	67	1	(	(	PUNCT
ijassa-604	67	2	2.7	2.7	NUM
ijassa-604	67	3	)	)	PUNCT
ijassa-604	67	4	in	in	ADP
ijassa-604	67	5	this	this	DET
ijassa-604	67	6	paper	paper	NOUN
ijassa-604	67	7	we	we	PRON
ijassa-604	67	8	adhere	adhere	VERB
ijassa-604	67	9	to	to	ADP
ijassa-604	67	10	the	the	DET
ijassa-604	67	11	described	describe	VERB
ijassa-604	67	12	approach	approach	NOUN
ijassa-604	67	13	based	base	VERB
ijassa-604	67	14	on	on	ADP
ijassa-604	67	15	“	"	PUNCT
ijassa-604	67	16	averaging	average	VERB
ijassa-604	67	17	”	"	PUNCT
ijassa-604	67	18	;	;	PUNCT
ijassa-604	67	19	i.e.	i.e.	X
ijassa-604	67	20	,	,	PUNCT
ijassa-604	67	21	we	we	PRON
ijassa-604	67	22	use	use	VERB
ijassa-604	67	23	relation	relation	NOUN
ijassa-604	67	24	(	(	PUNCT
ijassa-604	67	25	2.7	2.7	NUM
ijassa-604	67	26	)	)	PUNCT
ijassa-604	67	27	.	.	PUNCT
ijassa-604	68	1	in	in	ADP
ijassa-604	68	2	[	[	X
ijassa-604	68	3	16	16	NUM
ijassa-604	68	4	]	]	X
ijassa-604	68	5	,	,	PUNCT
ijassa-604	68	6	a	a	DET
ijassa-604	68	7	procedure	procedure	NOUN
ijassa-604	68	8	is	be	AUX
ijassa-604	68	9	proposed	propose	VERB
ijassa-604	68	10	to	to	PART
ijassa-604	68	11	design	design	VERB
ijassa-604	68	12	sparse	sparse	ADJ
ijassa-604	68	13	controllers	controller	NOUN
ijassa-604	68	14	in	in	ADP
ijassa-604	68	15	optimal	optimal	ADJ
ijassa-604	68	16	control	control	NOUN
ijassa-604	68	17	problems	problem	NOUN
ijassa-604	68	18	,	,	PUNCT
ijassa-604	68	19	in	in	ADP
ijassa-604	68	20	particular	particular	ADJ
ijassa-604	68	21	,	,	PUNCT
ijassa-604	68	22	in	in	ADP
ijassa-604	68	23	the	the	DET
ijassa-604	68	24	lqr	lqr	PROPN
ijassa-604	68	25	problem	problem	NOUN
ijassa-604	68	26	.	.	PUNCT
ijassa-604	69	1	the	the	DET
ijassa-604	69	2	key	key	ADJ
ijassa-604	69	3	stage	stage	NOUN
ijassa-604	69	4	of	of	ADP
ijassa-604	69	5	the	the	DET
ijassa-604	69	6	procedure	procedure	NOUN
ijassa-604	69	7	,	,	PUNCT
ijassa-604	69	8	which	which	PRON
ijassa-604	69	9	is	be	AUX
ijassa-604	69	10	responsible	responsible	ADJ
ijassa-604	69	11	for	for	ADP
ijassa-604	69	12	the	the	DET
ijassa-604	69	13	detection	detection	NOUN
ijassa-604	69	14	of	of	ADP
ijassa-604	69	15	the	the	DET
ijassa-604	69	16	sparse	sparse	ADJ
ijassa-604	69	17	structure	structure	NOUN
ijassa-604	69	18	of	of	ADP
ijassa-604	69	19	the	the	DET
ijassa-604	69	20	controller	controller	NOUN
ijassa-604	69	21	,	,	PUNCT
ijassa-604	69	22	consists	consist	VERB
ijassa-604	69	23	in	in	ADP
ijassa-604	69	24	minimizing	minimize	VERB
ijassa-604	69	25	the	the	DET
ijassa-604	69	26	1∞-norm	1∞-norm	NOUN
ijassa-604	69	27	of	of	ADP
ijassa-604	69	28	the	the	DET
ijassa-604	69	29	gain	gain	NOUN
ijassa-604	69	30	matrix	matrix	NOUN
ijassa-604	69	31	.	.	PUNCT
ijassa-604	70	1	this	this	DET
ijassa-604	70	2	norm	norm	NOUN
ijassa-604	70	3	plays	play	VERB
ijassa-604	70	4	the	the	DET
ijassa-604	70	5	role	role	NOUN
ijassa-604	70	6	of	of	ADP
ijassa-604	70	7	a	a	DET
ijassa-604	70	8	convex	convex	NOUN
ijassa-604	70	9	surrogate	surrogate	NOUN
ijassa-604	70	10	for	for	ADP
ijassa-604	70	11	the	the	DET
ijassa-604	70	12	number	number	NOUN
ijassa-604	70	13	of	of	ADP
ijassa-604	70	14	nonzero	nonzero	PROPN
ijassa-604	70	15	rows	row	NOUN
ijassa-604	70	16	of	of	ADP
ijassa-604	70	17	a	a	DET
ijassa-604	70	18	matrix	matrix	NOUN
ijassa-604	70	19	and	and	CCONJ
ijassa-604	70	20	is	be	AUX
ijassa-604	70	21	defined	define	VERB
ijassa-604	70	22	as	as	SCONJ
ijassa-604	70	23	follows	follow	VERB
ijassa-604	70	24	:	:	PUNCT
ijassa-604	70	25	‖x‖1∞	‖x‖1∞	VERB
ijassa-604	70	26	=	=	PUNCT
ijassa-604	71	1	n∑	n∑	PROPN
ijassa-604	71	2	i=1	i=1	PROPN
ijassa-604	71	3	max	max	PROPN
ijassa-604	71	4	16j6p	16j6p	PROPN
ijassa-604	71	5	|xij|	|xij|	NOUN
ijassa-604	71	6	,	,	PUNCT
ijassa-604	71	7	x	x	SYM
ijassa-604	71	8	∈	∈	PROPN
ijassa-604	71	9	rn×p	rn×p	PROPN
ijassa-604	71	10	.	.	PUNCT
ijassa-604	72	1	(	(	PUNCT
ijassa-604	72	2	2.8	2.8	NUM
ijassa-604	72	3	)	)	PUNCT
ijassa-604	72	4	the	the	DET
ijassa-604	72	5	three	three	NUM
ijassa-604	72	6	-	-	PUNCT
ijassa-604	72	7	step	step	NOUN
ijassa-604	72	8	procedure	procedure	NOUN
ijassa-604	72	9	from	from	ADP
ijassa-604	72	10	[	[	X
ijassa-604	72	11	16	16	NUM
ijassa-604	72	12	]	]	PUNCT
ijassa-604	72	13	,	,	PUNCT
ijassa-604	72	14	generalized	generalize	VERB
ijassa-604	72	15	to	to	ADP
ijassa-604	72	16	the	the	DET
ijassa-604	72	17	case	case	NOUN
ijassa-604	72	18	of	of	ADP
ijassa-604	72	19	arbitrary	arbitrary	ADJ
ijassa-604	72	20	approximation	approximation	NOUN
ijassa-604	72	21	to	to	ADP
ijassa-604	72	22	the	the	DET
ijassa-604	72	23	matrix	matrix	NOUN
ijassa-604	72	24	`	`	PUNCT
ijassa-604	72	25	0	0	NUM
ijassa-604	72	26	-	-	PUNCT
ijassa-604	72	27	quasinorm	quasinorm	NOUN
ijassa-604	72	28	,	,	PUNCT
ijassa-604	72	29	was	be	AUX
ijassa-604	72	30	used	use	VERB
ijassa-604	72	31	as	as	ADP
ijassa-604	72	32	a	a	DET
ijassa-604	72	33	basis	basis	NOUN
ijassa-604	72	34	for	for	ADP
ijassa-604	72	35	the	the	DET
ijassa-604	72	36	numerical	numerical	ADJ
ijassa-604	72	37	study	study	NOUN
ijassa-604	72	38	in	in	ADP
ijassa-604	72	39	this	this	DET
ijassa-604	72	40	paper	paper	NOUN
ijassa-604	72	41	.	.	PUNCT
ijassa-604	73	1	the	the	DET
ijassa-604	73	2	key	key	ADJ
ijassa-604	73	3	aspects	aspect	NOUN
ijassa-604	73	4	of	of	ADP
ijassa-604	73	5	the	the	DET
ijassa-604	73	6	procedure	procedure	NOUN
ijassa-604	73	7	are	be	AUX
ijassa-604	73	8	given	give	VERB
ijassa-604	73	9	below	below	ADV
ijassa-604	73	10	.	.	PUNCT
ijassa-604	74	1	step	step	NOUN
ijassa-604	74	2	1	1	NUM
ijassa-604	74	3	(	(	PUNCT
ijassa-604	74	4	optimal	optimal	ADJ
ijassa-604	74	5	control	control	NOUN
ijassa-604	74	6	design	design	NOUN
ijassa-604	74	7	)	)	PUNCT
ijassa-604	74	8	.	.	PUNCT
ijassa-604	75	1	the	the	DET
ijassa-604	75	2	classical	classical	ADJ
ijassa-604	75	3	lqr	lqr	NOUN
ijassa-604	75	4	problem	problem	NOUN
ijassa-604	75	5	is	be	AUX
ijassa-604	75	6	solved	solve	VERB
ijassa-604	75	7	(	(	PUNCT
ijassa-604	75	8	problem	problem	NOUN
ijassa-604	75	9	1	1	NUM
ijassa-604	75	10	)	)	PUNCT
ijassa-604	75	11	and	and	CCONJ
ijassa-604	75	12	the	the	DET
ijassa-604	75	13	value	value	NOUN
ijassa-604	75	14	trp−1opt	trp−1opt	VERB
ijassa-604	75	15	is	be	AUX
ijassa-604	75	16	fixed	fix	VERB
ijassa-604	75	17	.	.	PUNCT
ijassa-604	76	1	this	this	DET
ijassa-604	76	2	value	value	NOUN
ijassa-604	76	3	corresponds	correspond	VERB
ijassa-604	76	4	to	to	ADP
ijassa-604	76	5	the	the	DET
ijassa-604	76	6	optimal	optimal	ADJ
ijassa-604	76	7	value	value	NOUN
ijassa-604	76	8	jopt	jopt	VERB
ijassa-604	76	9	of	of	ADP
ijassa-604	76	10	the	the	DET
ijassa-604	76	11	quadratic	quadratic	ADJ
ijassa-604	76	12	functional	functional	ADJ
ijassa-604	76	13	j	j	PROPN
ijassa-604	76	14	.	.	PUNCT
ijassa-604	77	1	step	step	NOUN
ijassa-604	77	2	2	2	NUM
ijassa-604	77	3	(	(	PUNCT
ijassa-604	77	4	detection	detection	NOUN
ijassa-604	77	5	of	of	ADP
ijassa-604	77	6	sparse	sparse	ADJ
ijassa-604	77	7	structure	structure	NOUN
ijassa-604	77	8	)	)	PUNCT
ijassa-604	77	9	.	.	PUNCT
ijassa-604	78	1	let	let	VERB
ijassa-604	78	2	α	α	PRON
ijassa-604	78	3	>	>	X
ijassa-604	78	4	1	1	NUM
ijassa-604	78	5	denote	denote	VERB
ijassa-604	78	6	the	the	DET
ijassa-604	78	7	maximum	maximum	ADJ
ijassa-604	78	8	admissible	admissible	ADJ
ijassa-604	78	9	loss	loss	NOUN
ijassa-604	78	10	in	in	ADP
ijassa-604	78	11	the	the	DET
ijassa-604	78	12	quadratic	quadratic	ADJ
ijassa-604	78	13	performance	performance	NOUN
ijassa-604	78	14	index	index	NOUN
ijassa-604	78	15	that	that	PRON
ijassa-604	78	16	appears	appear	VERB
ijassa-604	78	17	due	due	ADJ
ijassa-604	78	18	to	to	ADP
ijassa-604	78	19	sparsity	sparsity	NOUN
ijassa-604	78	20	;	;	PUNCT
ijassa-604	78	21	i.e.	i.e.	X
ijassa-604	78	22	,	,	PUNCT
ijassa-604	78	23	the	the	DET
ijassa-604	78	24	following	follow	VERB
ijassa-604	78	25	condition	condition	NOUN
ijassa-604	78	26	is	be	AUX
ijassa-604	78	27	imposed	impose	VERB
ijassa-604	78	28	:	:	PUNCT
ijassa-604	79	1	trp−1sp	trp−1sp	PROPN
ijassa-604	79	2	trp−1opt	trp−1opt	VERB
ijassa-604	79	3	6	6	NUM
ijassa-604	79	4	α	α	NOUN
ijassa-604	79	5	,	,	PUNCT
ijassa-604	79	6	α	α	NOUN
ijassa-604	79	7	>	>	X
ijassa-604	79	8	1	1	NUM
ijassa-604	79	9	.	.	PUNCT
ijassa-604	80	1	so	so	ADV
ijassa-604	80	2	,	,	PUNCT
ijassa-604	80	3	α	α	PROPN
ijassa-604	80	4	is	be	AUX
ijassa-604	80	5	the	the	DET
ijassa-604	80	6	coefficient	coefficient	NOUN
ijassa-604	80	7	of	of	ADP
ijassa-604	80	8	the	the	DET
ijassa-604	80	9	allowed	allow	VERB
ijassa-604	80	10	performance	performance	NOUN
ijassa-604	80	11	drop	drop	VERB
ijassa-604	80	12	“	"	PUNCT
ijassa-604	80	13	on	on	ADP
ijassa-604	80	14	average	average	ADJ
ijassa-604	80	15	”	"	PUNCT
ijassa-604	80	16	and	and	CCONJ
ijassa-604	80	17	it	it	PRON
ijassa-604	80	18	acts	act	VERB
ijassa-604	80	19	as	as	ADP
ijassa-604	80	20	the	the	DET
ijassa-604	80	21	parameter	parameter	NOUN
ijassa-604	80	22	of	of	ADP
ijassa-604	80	23	the	the	DET
ijassa-604	80	24	following	follow	VERB
ijassa-604	80	25	sdp	sdp	NOUN
ijassa-604	80	26	problem	problem	NOUN
ijassa-604	80	27	:	:	PUNCT
ijassa-604	80	28	problem	problem	NOUN
ijassa-604	80	29	2	2	NUM
ijassa-604	80	30	:	:	PUNCT
ijassa-604	80	31	‖y	‖y	NUM
ijassa-604	80	32	‖(sp	‖(sp	ADJ
ijassa-604	80	33	)	)	PUNCT
ijassa-604	80	34	−→	−→	NOUN
ijassa-604	80	35	min	min	PROPN
ijassa-604	80	36	s.t	s.t	PROPN
ijassa-604	80	37	.	.	PROPN
ijassa-604	80	38	(	(	PUNCT
ijassa-604	80	39	2.4	2.4	NUM
ijassa-604	80	40	)	)	PUNCT
ijassa-604	80	41	,	,	PUNCT
ijassa-604	80	42	(	(	PUNCT
ijassa-604	80	43	x	x	X
ijassa-604	80	44	i	i	PRON
ijassa-604	80	45	i	i	PRON
ijassa-604	80	46	p	p	X
ijassa-604	80	47	)	)	PUNCT
ijassa-604	80	48	<	<	X
ijassa-604	80	49	0	0	NUM
ijassa-604	80	50	,	,	PUNCT
ijassa-604	80	51	and	and	CCONJ
ijassa-604	80	52	trx	trx	NOUN
ijassa-604	80	53	6	6	NUM
ijassa-604	80	54	α	α	NOUN
ijassa-604	80	55	trp−1opt	trp−1opt	VERB
ijassa-604	80	56	.	.	PUNCT
ijassa-604	81	1	(	(	PUNCT
ijassa-604	81	2	2.9	2.9	NUM
ijassa-604	81	3	)	)	PUNCT
ijassa-604	81	4	note	note	VERB
ijassa-604	81	5	that	that	SCONJ
ijassa-604	81	6	,	,	PUNCT
ijassa-604	81	7	similarly	similarly	ADV
ijassa-604	81	8	to	to	PART
ijassa-604	81	9	problem	problem	NOUN
ijassa-604	81	10	1	1	NUM
ijassa-604	81	11	,	,	PUNCT
ijassa-604	81	12	the	the	DET
ijassa-604	81	13	gain	gain	NOUN
ijassa-604	81	14	matrix	matrix	NOUN
ijassa-604	81	15	k	k	NOUN
ijassa-604	81	16	does	do	AUX
ijassa-604	81	17	not	not	PART
ijassa-604	81	18	explicitly	explicitly	ADV
ijassa-604	81	19	appear	appear	VERB
ijassa-604	81	20	in	in	ADP
ijassa-604	81	21	the	the	DET
ijassa-604	81	22	constraints	constraint	NOUN
ijassa-604	81	23	or	or	CCONJ
ijassa-604	81	24	in	in	ADP
ijassa-604	81	25	the	the	DET
ijassa-604	81	26	objective	objective	ADJ
ijassa-604	81	27	function	function	NOUN
ijassa-604	81	28	of	of	ADP
ijassa-604	81	29	the	the	DET
ijassa-604	81	30	sdp	sdp	NOUN
ijassa-604	81	31	.	.	PUNCT
ijassa-604	82	1	thus	thus	ADV
ijassa-604	82	2	,	,	PUNCT
ijassa-604	82	3	the	the	DET
ijassa-604	82	4	variables	variable	NOUN
ijassa-604	82	5	are	be	AUX
ijassa-604	82	6	positive	positive	ADJ
ijassa-604	82	7	–	–	PUNCT
ijassa-604	82	8	definite	definite	ADJ
ijassa-604	82	9	matrices	matrix	NOUN
ijassa-604	82	10	p	p	NOUN
ijassa-604	82	11	and	and	CCONJ
ijassa-604	82	12	x	x	X
ijassa-604	82	13	and	and	CCONJ
ijassa-604	82	14	an	an	DET
ijassa-604	82	15	auxiliary	auxiliary	ADJ
ijassa-604	82	16	matrix	matrix	NOUN
ijassa-604	82	17	variable	variable	NOUN
ijassa-604	82	18	y	y	PROPN
ijassa-604	82	19	=	=	PUNCT
ijassa-604	82	20	kp	kp	PROPN
ijassa-604	82	21	;	;	PUNCT
ijassa-604	82	22	the	the	DET
ijassa-604	82	23	latter	latter	ADJ
ijassa-604	82	24	was	be	AUX
ijassa-604	82	25	introduced	introduce	VERB
ijassa-604	82	26	to	to	PART
ijassa-604	82	27	transform	transform	VERB
ijassa-604	82	28	the	the	DET
ijassa-604	82	29	constraints	constraint	NOUN
ijassa-604	82	30	to	to	ADP
ijassa-604	82	31	the	the	DET
ijassa-604	82	32	form	form	NOUN
ijassa-604	82	33	of	of	ADP
ijassa-604	82	34	linear	linear	ADJ
ijassa-604	82	35	matrix	matrix	NOUN
ijassa-604	82	36	inequalities	inequality	NOUN
ijassa-604	82	37	.	.	PUNCT
ijassa-604	83	1	the	the	DET
ijassa-604	83	2	minimized	minimized	ADJ
ijassa-604	83	3	function	function	NOUN
ijassa-604	83	4	in	in	ADP
ijassa-604	83	5	problem	problem	NOUN
ijassa-604	83	6	2	2	NUM
ijassa-604	83	7	is	be	AUX
ijassa-604	83	8	denoted	denote	VERB
ijassa-604	83	9	by	by	ADP
ijassa-604	83	10	‖·‖(sp	‖·‖(sp	INTJ
ijassa-604	83	11	)	)	PUNCT
ijassa-604	83	12	and	and	CCONJ
ijassa-604	83	13	it	it	PRON
ijassa-604	83	14	plays	play	VERB
ijassa-604	83	15	the	the	DET
ijassa-604	83	16	role	role	NOUN
ijassa-604	83	17	of	of	ADP
ijassa-604	83	18	an	an	DET
ijassa-604	83	19	approximation	approximation	NOUN
ijassa-604	83	20	to	to	ADP
ijassa-604	83	21	the	the	DET
ijassa-604	83	22	matrix	matrix	NOUN
ijassa-604	83	23	`	`	PUNCT
ijassa-604	83	24	0	0	NUM
ijassa-604	83	25	-	-	PUNCT
ijassa-604	83	26	quasinorm	quasinorm	NOUN
ijassa-604	83	27	.	.	PUNCT
ijassa-604	84	1	the	the	DET
ijassa-604	84	2	1∞-norm	1∞-norm	PROPN
ijassa-604	84	3	is	be	AUX
ijassa-604	84	4	one	one	NUM
ijassa-604	84	5	of	of	ADP
ijassa-604	84	6	such	such	ADJ
ijassa-604	84	7	approximations	approximation	NOUN
ijassa-604	84	8	and	and	CCONJ
ijassa-604	84	9	copyright	copyright	NOUN
ijassa-604	84	10	c	c	ADP
ijassa-604	84	11	©	©	PROPN
ijassa-604	84	12	2018	2018	NUM
ijassa-604	84	13	assa	assa	NOUN
ijassa-604	84	14	.	.	PUNCT
ijassa-604	85	1	adv	adv	PROPN
ijassa-604	85	2	syst	syst	PROPN
ijassa-604	85	3	sci	sci	PROPN
ijassa-604	85	4	appl	appl	PROPN
ijassa-604	85	5	(	(	PUNCT
ijassa-604	85	6	2018	2018	NUM
ijassa-604	85	7	)	)	PUNCT
ijassa-604	85	8	surrogates	surrogate	NOUN
ijassa-604	85	9	for	for	ADP
ijassa-604	85	10	the	the	DET
ijassa-604	85	11	matrix	matrix	NOUN
ijassa-604	85	12	`	`	PUNCT
ijassa-604	85	13	0	0	NUM
ijassa-604	85	14	-	-	PUNCT
ijassa-604	85	15	quasinorm	quasinorm	NOUN
ijassa-604	85	16	15	15	NUM
ijassa-604	85	17	it	it	PRON
ijassa-604	85	18	allows	allow	VERB
ijassa-604	85	19	to	to	PART
ijassa-604	85	20	solve	solve	VERB
ijassa-604	85	21	convex	convex	ADJ
ijassa-604	85	22	problem	problem	NOUN
ijassa-604	85	23	instead	instead	ADV
ijassa-604	85	24	of	of	ADP
ijassa-604	85	25	the	the	DET
ijassa-604	85	26	nonconvex	nonconvex	NOUN
ijassa-604	85	27	one	one	NUM
ijassa-604	85	28	.	.	PUNCT
ijassa-604	86	1	there	there	PRON
ijassa-604	86	2	are	be	VERB
ijassa-604	86	3	more	more	ADV
ijassa-604	86	4	complex	complex	ADJ
ijassa-604	86	5	and	and	CCONJ
ijassa-604	86	6	efficient	efficient	ADJ
ijassa-604	86	7	surrogates	surrogate	NOUN
ijassa-604	86	8	,	,	PUNCT
ijassa-604	86	9	some	some	PRON
ijassa-604	86	10	of	of	ADP
ijassa-604	86	11	which	which	PRON
ijassa-604	86	12	are	be	AUX
ijassa-604	86	13	described	describe	VERB
ijassa-604	86	14	in	in	ADP
ijassa-604	86	15	the	the	DET
ijassa-604	86	16	next	next	ADJ
ijassa-604	86	17	section	section	NOUN
ijassa-604	86	18	.	.	PUNCT
ijassa-604	87	1	let	let	VERB
ijassa-604	87	2	the	the	DET
ijassa-604	87	3	matrix	matrix	NOUN
ijassa-604	87	4	y0	y0	NOUN
ijassa-604	87	5	be	be	AUX
ijassa-604	87	6	the	the	DET
ijassa-604	87	7	solution	solution	NOUN
ijassa-604	87	8	of	of	ADP
ijassa-604	87	9	problem	problem	NOUN
ijassa-604	87	10	2	2	NUM
ijassa-604	87	11	and	and	CCONJ
ijassa-604	87	12	assume	assume	VERB
ijassa-604	87	13	it	it	PRON
ijassa-604	87	14	contains	contain	VERB
ijassa-604	87	15	rows	row	NOUN
ijassa-604	87	16	with	with	ADP
ijassa-604	87	17	all	all	DET
ijassa-604	87	18	elements	element	NOUN
ijassa-604	87	19	being	be	AUX
ijassa-604	87	20	equal	equal	ADJ
ijassa-604	87	21	or	or	CCONJ
ijassa-604	87	22	close	close	ADJ
ijassa-604	87	23	to	to	ADP
ijassa-604	87	24	zero	zero	NUM
ijassa-604	87	25	.	.	PUNCT
ijassa-604	88	1	these	these	DET
ijassa-604	88	2	rows	row	NOUN
ijassa-604	88	3	are	be	AUX
ijassa-604	88	4	memorized	memorize	VERB
ijassa-604	88	5	and	and	CCONJ
ijassa-604	88	6	kept	keep	VERB
ijassa-604	88	7	as	as	ADV
ijassa-604	88	8	strict	strict	ADJ
ijassa-604	88	9	zeros	zero	NOUN
ijassa-604	88	10	,	,	PUNCT
ijassa-604	88	11	which	which	PRON
ijassa-604	88	12	automatically	automatically	ADV
ijassa-604	88	13	means	mean	VERB
ijassa-604	88	14	that	that	SCONJ
ijassa-604	88	15	the	the	DET
ijassa-604	88	16	gain	gain	NOUN
ijassa-604	88	17	matrix	matrix	NOUN
ijassa-604	88	18	k0	k0	PROPN
ijassa-604	88	19	=	=	PUNCT
ijassa-604	88	20	y0p	y0p	PROPN
ijassa-604	88	21	−1	−1	NOUN
ijassa-604	88	22	will	will	AUX
ijassa-604	88	23	also	also	ADV
ijassa-604	88	24	contain	contain	VERB
ijassa-604	88	25	the	the	DET
ijassa-604	88	26	same	same	ADJ
ijassa-604	88	27	zero	zero	NUM
ijassa-604	88	28	rows	row	NOUN
ijassa-604	88	29	.	.	PUNCT
ijassa-604	89	1	the	the	DET
ijassa-604	89	2	latter	latter	ADJ
ijassa-604	89	3	fact	fact	NOUN
ijassa-604	89	4	follows	follow	VERB
ijassa-604	89	5	from	from	ADP
ijassa-604	89	6	the	the	DET
ijassa-604	89	7	rules	rule	NOUN
ijassa-604	89	8	of	of	ADP
ijassa-604	89	9	the	the	DET
ijassa-604	89	10	matrix	matrix	NOUN
ijassa-604	89	11	multiplication	multiplication	NOUN
ijassa-604	89	12	.	.	PUNCT
ijassa-604	90	1	note	note	VERB
ijassa-604	90	2	that	that	SCONJ
ijassa-604	90	3	the	the	DET
ijassa-604	90	4	value	value	NOUN
ijassa-604	90	5	of	of	ADP
ijassa-604	90	6	the	the	DET
ijassa-604	90	7	objective	objective	ADJ
ijassa-604	90	8	function	function	NOUN
ijassa-604	90	9	does	do	AUX
ijassa-604	90	10	not	not	PART
ijassa-604	90	11	exceed	exceed	VERB
ijassa-604	90	12	αjopt	αjopt	NOUN
ijassa-604	90	13	“	"	PUNCT
ijassa-604	90	14	on	on	ADP
ijassa-604	90	15	average	average	ADJ
ijassa-604	90	16	”	"	PUNCT
ijassa-604	90	17	.	.	PUNCT
ijassa-604	91	1	step	step	NOUN
ijassa-604	91	2	3	3	NUM
ijassa-604	91	3	(	(	PUNCT
ijassa-604	91	4	optimization	optimization	NOUN
ijassa-604	91	5	over	over	ADP
ijassa-604	91	6	sparse	sparse	ADJ
ijassa-604	91	7	-	-	PUNCT
ijassa-604	91	8	structured	structure	VERB
ijassa-604	91	9	controllers	controller	NOUN
ijassa-604	91	10	)	)	PUNCT
ijassa-604	91	11	.	.	PUNCT
ijassa-604	92	1	the	the	DET
ijassa-604	92	2	lqr	lqr	PROPN
ijassa-604	92	3	problem	problem	NOUN
ijassa-604	92	4	is	be	AUX
ijassa-604	92	5	again	again	ADV
ijassa-604	92	6	solved	solve	VERB
ijassa-604	92	7	but	but	CCONJ
ijassa-604	92	8	with	with	ADP
ijassa-604	92	9	sparse	sparse	ADJ
ijassa-604	92	10	structure	structure	NOUN
ijassa-604	92	11	of	of	ADP
ijassa-604	92	12	the	the	DET
ijassa-604	92	13	controller	controller	NOUN
ijassa-604	92	14	being	be	AUX
ijassa-604	92	15	fixed	fix	VERB
ijassa-604	92	16	as	as	SCONJ
ijassa-604	92	17	found	find	VERB
ijassa-604	92	18	at	at	ADP
ijassa-604	92	19	step	step	NOUN
ijassa-604	92	20	2	2	NUM
ijassa-604	92	21	.	.	PUNCT
ijassa-604	93	1	in	in	ADP
ijassa-604	93	2	other	other	ADJ
ijassa-604	93	3	words	word	NOUN
ijassa-604	93	4	,	,	PUNCT
ijassa-604	93	5	problem	problem	NOUN
ijassa-604	93	6	1	1	NUM
ijassa-604	93	7	is	be	AUX
ijassa-604	93	8	solved	solve	VERB
ijassa-604	93	9	with	with	ADP
ijassa-604	93	10	additional	additional	ADJ
ijassa-604	93	11	constraints	constraint	NOUN
ijassa-604	93	12	on	on	ADP
ijassa-604	93	13	the	the	DET
ijassa-604	93	14	matrix	matrix	NOUN
ijassa-604	93	15	variable	variable	NOUN
ijassa-604	93	16	y	y	PROPN
ijassa-604	93	17	.	.	PUNCT
ijassa-604	94	1	to	to	PART
ijassa-604	94	2	sum	sum	VERB
ijassa-604	94	3	up	up	ADP
ijassa-604	94	4	,	,	PUNCT
ijassa-604	94	5	the	the	DET
ijassa-604	94	6	procedure	procedure	NOUN
ijassa-604	94	7	described	describe	VERB
ijassa-604	94	8	above	above	ADV
ijassa-604	94	9	gives	give	VERB
ijassa-604	94	10	a	a	DET
ijassa-604	94	11	way	way	NOUN
ijassa-604	94	12	to	to	PART
ijassa-604	94	13	design	design	VERB
ijassa-604	94	14	a	a	DET
ijassa-604	94	15	controller	controller	NOUN
ijassa-604	94	16	which	which	PRON
ijassa-604	94	17	may	may	AUX
ijassa-604	94	18	have	have	VERB
ijassa-604	94	19	a	a	DET
ijassa-604	94	20	sparse	sparse	ADJ
ijassa-604	94	21	structure	structure	NOUN
ijassa-604	94	22	at	at	ADP
ijassa-604	94	23	the	the	DET
ijassa-604	94	24	expense	expense	NOUN
ijassa-604	94	25	of	of	ADP
ijassa-604	94	26	a	a	DET
ijassa-604	94	27	reasonable	reasonable	ADJ
ijassa-604	94	28	drop	drop	NOUN
ijassa-604	94	29	in	in	ADP
ijassa-604	94	30	performance	performance	NOUN
ijassa-604	94	31	;	;	PUNCT
ijassa-604	94	32	thus	thus	ADV
ijassa-604	94	33	,	,	PUNCT
ijassa-604	94	34	a	a	DET
ijassa-604	94	35	trade	trade	NOUN
ijassa-604	94	36	-	-	PUNCT
ijassa-604	94	37	off	off	NOUN
ijassa-604	94	38	between	between	ADP
ijassa-604	94	39	optimality	optimality	NOUN
ijassa-604	94	40	and	and	CCONJ
ijassa-604	94	41	sparsity	sparsity	NOUN
ijassa-604	94	42	of	of	ADP
ijassa-604	94	43	the	the	DET
ijassa-604	94	44	control	control	NOUN
ijassa-604	94	45	can	can	AUX
ijassa-604	94	46	be	be	AUX
ijassa-604	94	47	achieved	achieve	VERB
ijassa-604	94	48	.	.	PUNCT
ijassa-604	95	1	3	3	X
ijassa-604	95	2	.	.	X
ijassa-604	95	3	approximations	approximation	NOUN
ijassa-604	95	4	to	to	ADP
ijassa-604	95	5	the	the	DET
ijassa-604	95	6	matrix	matrix	NOUN
ijassa-604	95	7	`	`	PUNCT
ijassa-604	95	8	0	0	NUM
ijassa-604	95	9	-	-	PUNCT
ijassa-604	95	10	quasinorm	quasinorm	NOUN
ijassa-604	95	11	so	so	ADV
ijassa-604	95	12	,	,	PUNCT
ijassa-604	95	13	the	the	DET
ijassa-604	95	14	key	key	ADJ
ijassa-604	95	15	step	step	NOUN
ijassa-604	95	16	in	in	ADP
ijassa-604	95	17	the	the	DET
ijassa-604	95	18	sparse	sparse	ADJ
ijassa-604	95	19	feedback	feedback	NOUN
ijassa-604	95	20	design	design	NOUN
ijassa-604	95	21	procedure	procedure	NOUN
ijassa-604	95	22	is	be	AUX
ijassa-604	95	23	the	the	DET
ijassa-604	95	24	sparsity	sparsity	NOUN
ijassa-604	95	25	detection	detection	NOUN
ijassa-604	95	26	step	step	NOUN
ijassa-604	95	27	.	.	PUNCT
ijassa-604	96	1	the	the	DET
ijassa-604	96	2	detection	detection	NOUN
ijassa-604	96	3	is	be	AUX
ijassa-604	96	4	performed	perform	VERB
ijassa-604	96	5	via	via	ADP
ijassa-604	96	6	minimizing	minimize	VERB
ijassa-604	96	7	a	a	DET
ijassa-604	96	8	surrogate	surrogate	NOUN
ijassa-604	96	9	for	for	ADP
ijassa-604	96	10	the	the	DET
ijassa-604	96	11	number	number	NOUN
ijassa-604	96	12	of	of	ADP
ijassa-604	96	13	nonzero	nonzero	PROPN
ijassa-604	96	14	rows	row	NOUN
ijassa-604	96	15	of	of	ADP
ijassa-604	96	16	a	a	DET
ijassa-604	96	17	matrix	matrix	NOUN
ijassa-604	96	18	.	.	PUNCT
ijassa-604	97	1	below	below	ADP
ijassa-604	97	2	we	we	PRON
ijassa-604	97	3	consider	consider	VERB
ijassa-604	97	4	four	four	NUM
ijassa-604	97	5	various	various	ADJ
ijassa-604	97	6	approximations	approximation	NOUN
ijassa-604	97	7	to	to	ADP
ijassa-604	97	8	the	the	DET
ijassa-604	97	9	matrix	matrix	NOUN
ijassa-604	97	10	`	`	PUNCT
ijassa-604	97	11	0	0	NUM
ijassa-604	97	12	-	-	PUNCT
ijassa-604	97	13	quasinorm	quasinorm	NOUN
ijassa-604	97	14	,	,	PUNCT
ijassa-604	97	15	efficiency	efficiency	NOUN
ijassa-604	97	16	of	of	ADP
ijassa-604	97	17	which	which	PRON
ijassa-604	97	18	is	be	AUX
ijassa-604	97	19	compared	compare	VERB
ijassa-604	97	20	via	via	ADP
ijassa-604	97	21	numerical	numerical	ADJ
ijassa-604	97	22	experiments	experiment	NOUN
ijassa-604	97	23	.	.	PUNCT
ijassa-604	98	1	all	all	DET
ijassa-604	98	2	approximations	approximation	NOUN
ijassa-604	98	3	are	be	AUX
ijassa-604	98	4	described	describe	VERB
ijassa-604	98	5	as	as	ADP
ijassa-604	98	6	functions	function	NOUN
ijassa-604	98	7	of	of	ADP
ijassa-604	98	8	ri	ri	NOUN
ijassa-604	98	9	,	,	PUNCT
ijassa-604	98	10	where	where	SCONJ
ijassa-604	98	11	ri	ri	PROPN
ijassa-604	98	12	qualifies	qualify	VERB
ijassa-604	98	13	the	the	DET
ijassa-604	98	14	magnitude	magnitude	NOUN
ijassa-604	98	15	of	of	ADP
ijassa-604	98	16	the	the	DET
ijassa-604	98	17	values	value	NOUN
ijassa-604	98	18	of	of	ADP
ijassa-604	98	19	the	the	DET
ijassa-604	98	20	ith	ith	PROPN
ijassa-604	98	21	row	row	NOUN
ijassa-604	98	22	of	of	ADP
ijassa-604	98	23	the	the	DET
ijassa-604	98	24	matrix	matrix	NOUN
ijassa-604	98	25	y	y	NOUN
ijassa-604	98	26	.	.	PUNCT
ijassa-604	99	1	if	if	SCONJ
ijassa-604	99	2	a	a	DET
ijassa-604	99	3	row	row	NOUN
ijassa-604	99	4	of	of	ADP
ijassa-604	99	5	the	the	DET
ijassa-604	99	6	matrix	matrix	NOUN
ijassa-604	99	7	is	be	AUX
ijassa-604	99	8	treated	treat	VERB
ijassa-604	99	9	as	as	ADP
ijassa-604	99	10	a	a	DET
ijassa-604	99	11	vector	vector	NOUN
ijassa-604	99	12	,	,	PUNCT
ijassa-604	99	13	then	then	ADV
ijassa-604	99	14	ri	ri	PROPN
ijassa-604	99	15	can	can	AUX
ijassa-604	99	16	be	be	AUX
ijassa-604	99	17	,	,	PUNCT
ijassa-604	99	18	e.g.	e.g.	ADV
ijassa-604	99	19	,	,	PUNCT
ijassa-604	99	20	one	one	NUM
ijassa-604	99	21	of	of	ADP
ijassa-604	99	22	the	the	DET
ijassa-604	99	23	standard	standard	ADJ
ijassa-604	99	24	vector	vector	NOUN
ijassa-604	99	25	norms	norm	NOUN
ijassa-604	99	26	:	:	PUNCT
ijassa-604	99	27	l1-	l1-	NOUN
ijassa-604	99	28	,	,	PUNCT
ijassa-604	99	29	l2-	l2-	NOUN
ijassa-604	99	30	,	,	PUNCT
ijassa-604	99	31	or	or	CCONJ
ijassa-604	99	32	l∞-norm	l∞-norm	NOUN
ijassa-604	99	33	.	.	PUNCT
ijassa-604	100	1	a	a	DET
ijassa-604	100	2	matrix	matrix	NOUN
ijassa-604	100	3	row	row	NOUN
ijassa-604	100	4	is	be	AUX
ijassa-604	100	5	called	call	VERB
ijassa-604	100	6	a	a	DET
ijassa-604	100	7	zero	zero	NUM
ijassa-604	100	8	row	row	NOUN
ijassa-604	100	9	if	if	SCONJ
ijassa-604	100	10	and	and	CCONJ
ijassa-604	100	11	only	only	ADV
ijassa-604	100	12	if	if	SCONJ
ijassa-604	100	13	all	all	PRON
ijassa-604	100	14	of	of	ADP
ijassa-604	100	15	its	its	PRON
ijassa-604	100	16	elements	element	NOUN
ijassa-604	100	17	are	be	AUX
ijassa-604	100	18	zeros	zero	NOUN
ijassa-604	100	19	.	.	PUNCT
ijassa-604	101	1	also	also	ADV
ijassa-604	101	2	,	,	PUNCT
ijassa-604	101	3	if	if	SCONJ
ijassa-604	101	4	any	any	PRON
ijassa-604	101	5	of	of	ADP
ijassa-604	101	6	the	the	DET
ijassa-604	101	7	mentioned	mention	VERB
ijassa-604	101	8	norm	norm	NOUN
ijassa-604	101	9	approaches	approach	VERB
ijassa-604	101	10	zero	zero	NUM
ijassa-604	101	11	,	,	PUNCT
ijassa-604	101	12	then	then	ADV
ijassa-604	101	13	all	all	PRON
ijassa-604	101	14	of	of	ADP
ijassa-604	101	15	the	the	DET
ijassa-604	101	16	row	row	NOUN
ijassa-604	101	17	elements	element	NOUN
ijassa-604	101	18	approach	approach	NOUN
ijassa-604	101	19	zero	zero	NUM
ijassa-604	101	20	.	.	PUNCT
ijassa-604	102	1	numerical	numerical	ADJ
ijassa-604	102	2	experiments	experiment	NOUN
ijassa-604	102	3	show	show	VERB
ijassa-604	102	4	that	that	SCONJ
ijassa-604	102	5	the	the	DET
ijassa-604	102	6	choice	choice	NOUN
ijassa-604	102	7	of	of	ADP
ijassa-604	102	8	the	the	DET
ijassa-604	102	9	particular	particular	ADJ
ijassa-604	102	10	norm	norm	NOUN
ijassa-604	102	11	is	be	AUX
ijassa-604	102	12	not	not	PART
ijassa-604	102	13	essential	essential	ADJ
ijassa-604	102	14	,	,	PUNCT
ijassa-604	102	15	so	so	ADV
ijassa-604	102	16	,	,	PUNCT
ijassa-604	102	17	to	to	PART
ijassa-604	102	18	be	be	AUX
ijassa-604	102	19	specific	specific	ADJ
ijassa-604	102	20	,	,	PUNCT
ijassa-604	102	21	we	we	PRON
ijassa-604	102	22	chose	choose	VERB
ijassa-604	102	23	l∞-norm	l∞-norm	PROPN
ijassa-604	102	24	,	,	PUNCT
ijassa-604	102	25	the	the	DET
ijassa-604	102	26	maximum	maximum	NOUN
ijassa-604	102	27	of	of	ADP
ijassa-604	102	28	the	the	DET
ijassa-604	102	29	absolute	absolute	ADJ
ijassa-604	102	30	values	value	NOUN
ijassa-604	102	31	of	of	ADP
ijassa-604	102	32	the	the	DET
ijassa-604	102	33	components	component	NOUN
ijassa-604	102	34	.	.	PUNCT
ijassa-604	103	1	thus	thus	ADV
ijassa-604	103	2	,	,	PUNCT
ijassa-604	103	3	we	we	PRON
ijassa-604	103	4	define	define	VERB
ijassa-604	103	5	ri	ri	PROPN
ijassa-604	103	6	as	as	SCONJ
ijassa-604	103	7	follows	follow	VERB
ijassa-604	103	8	:	:	PUNCT
ijassa-604	103	9	ri	ri	PROPN
ijassa-604	103	10	=	=	PUNCT
ijassa-604	103	11	max	max	PROPN
ijassa-604	103	12	16j6n	16j6n	PROPN
ijassa-604	103	13	|yij|	|yij|	PROPN
ijassa-604	103	14	,	,	PUNCT
ijassa-604	103	15	y	y	NOUN
ijassa-604	103	16	=	=	PUNCT
ijassa-604	103	17	‖yij‖	‖yij‖	PROPN
ijassa-604	103	18	∈	∈	PROPN
ijassa-604	103	19	rp×n	rp×n	NOUN
ijassa-604	103	20	.	.	PUNCT
ijassa-604	104	1	(	(	PUNCT
ijassa-604	104	2	3.10	3.10	NUM
ijassa-604	104	3	)	)	PUNCT
ijassa-604	104	4	3.1	3.1	NUM
ijassa-604	104	5	.	.	PUNCT
ijassa-604	105	1	1∞-norm	1∞-norm	NOUN
ijassa-604	105	2	the	the	DET
ijassa-604	105	3	1∞-norm	1∞-norm	NOUN
ijassa-604	105	4	(	(	PUNCT
ijassa-604	105	5	2.8	2.8	NUM
ijassa-604	105	6	)	)	PUNCT
ijassa-604	105	7	was	be	AUX
ijassa-604	105	8	introduced	introduce	VERB
ijassa-604	105	9	in	in	ADP
ijassa-604	105	10	[	[	X
ijassa-604	105	11	16	16	NUM
ijassa-604	105	12	]	]	X
ijassa-604	105	13	;	;	PUNCT
ijassa-604	105	14	in	in	ADP
ijassa-604	105	15	terms	term	NOUN
ijassa-604	105	16	of	of	ADP
ijassa-604	105	17	ri	ri	PROPN
ijassa-604	105	18	(	(	PUNCT
ijassa-604	105	19	3.10	3.10	NUM
ijassa-604	105	20	)	)	PUNCT
ijassa-604	105	21	it	it	PRON
ijassa-604	105	22	can	can	AUX
ijassa-604	105	23	be	be	AUX
ijassa-604	105	24	written	write	VERB
ijassa-604	105	25	as	as	ADP
ijassa-604	105	26	:	:	PUNCT
ijassa-604	105	27	‖y	‖y	NUM
ijassa-604	105	28	‖1∞	‖1∞	NOUN
ijassa-604	105	29	=	=	SYM
ijassa-604	105	30	p∑	p∑	X
ijassa-604	105	31	i=1	i=1	PROPN
ijassa-604	105	32	ri	ri	PROPN
ijassa-604	105	33	.	.	PUNCT
ijassa-604	106	1	(	(	PUNCT
ijassa-604	106	2	3.11	3.11	NUM
ijassa-604	106	3	)	)	PUNCT
ijassa-604	106	4	this	this	DET
ijassa-604	106	5	function	function	NOUN
ijassa-604	106	6	is	be	AUX
ijassa-604	106	7	convex	convex	ADJ
ijassa-604	106	8	,	,	PUNCT
ijassa-604	106	9	therefore	therefore	ADV
ijassa-604	106	10	its	its	PRON
ijassa-604	106	11	minimization	minimization	NOUN
ijassa-604	106	12	subject	subject	NOUN
ijassa-604	106	13	to	to	ADP
ijassa-604	106	14	constraints	constraint	NOUN
ijassa-604	106	15	(	(	PUNCT
ijassa-604	106	16	2.4	2.4	NUM
ijassa-604	106	17	)	)	PUNCT
ijassa-604	106	18	,	,	PUNCT
ijassa-604	106	19	(	(	PUNCT
ijassa-604	106	20	2.9	2.9	NUM
ijassa-604	106	21	)	)	PUNCT
ijassa-604	106	22	is	be	AUX
ijassa-604	106	23	an	an	DET
ijassa-604	106	24	sdp	sdp	NOUN
ijassa-604	106	25	problem	problem	NOUN
ijassa-604	106	26	,	,	PUNCT
ijassa-604	106	27	which	which	PRON
ijassa-604	106	28	can	can	AUX
ijassa-604	106	29	be	be	AUX
ijassa-604	106	30	efficiently	efficiently	ADV
ijassa-604	106	31	solved	solve	VERB
ijassa-604	106	32	by	by	ADP
ijassa-604	106	33	means	mean	NOUN
ijassa-604	106	34	of	of	ADP
ijassa-604	106	35	convex	convex	ADJ
ijassa-604	106	36	optimization	optimization	NOUN
ijassa-604	106	37	tools	tool	NOUN
ijassa-604	106	38	[	[	X
ijassa-604	106	39	20	20	NUM
ijassa-604	106	40	]	]	PUNCT
ijassa-604	106	41	.	.	PUNCT
ijassa-604	107	1	3.2	3.2	NUM
ijassa-604	107	2	.	.	PUNCT
ijassa-604	107	3	weighted	weight	VERB
ijassa-604	107	4	1∞-norm	1∞-norm	NOUN
ijassa-604	107	5	in	in	ADP
ijassa-604	107	6	[	[	X
ijassa-604	107	7	3	3	NUM
ijassa-604	107	8	]	]	PUNCT
ijassa-604	107	9	,	,	PUNCT
ijassa-604	107	10	the	the	DET
ijassa-604	107	11	authors	author	NOUN
ijassa-604	107	12	developed	develop	VERB
ijassa-604	107	13	the	the	DET
ijassa-604	107	14	ideas	idea	NOUN
ijassa-604	107	15	of	of	ADP
ijassa-604	107	16	`	`	PUNCT
ijassa-604	107	17	1	1	NUM
ijassa-604	107	18	-	-	PUNCT
ijassa-604	107	19	optimization	optimization	NOUN
ijassa-604	107	20	for	for	ADP
ijassa-604	107	21	promoting	promote	VERB
ijassa-604	107	22	sparsity	sparsity	NOUN
ijassa-604	107	23	in	in	ADP
ijassa-604	107	24	case	case	NOUN
ijassa-604	107	25	of	of	ADP
ijassa-604	107	26	vector	vector	NOUN
ijassa-604	107	27	variables	variable	NOUN
ijassa-604	107	28	.	.	PUNCT
ijassa-604	108	1	they	they	PRON
ijassa-604	108	2	introduced	introduce	VERB
ijassa-604	108	3	a	a	DET
ijassa-604	108	4	new	new	ADJ
ijassa-604	108	5	iterative	iterative	NOUN
ijassa-604	108	6	procedure	procedure	NOUN
ijassa-604	108	7	which	which	PRON
ijassa-604	108	8	consists	consist	VERB
ijassa-604	108	9	in	in	ADP
ijassa-604	108	10	solving	solve	VERB
ijassa-604	108	11	a	a	DET
ijassa-604	108	12	sequence	sequence	NOUN
ijassa-604	108	13	of	of	ADP
ijassa-604	108	14	weighted	weighted	ADJ
ijassa-604	108	15	`	`	PUNCT
ijassa-604	108	16	1	1	NUM
ijassa-604	108	17	-	-	PUNCT
ijassa-604	108	18	optimization	optimization	NOUN
ijassa-604	108	19	problems	problem	NOUN
ijassa-604	108	20	.	.	PUNCT
ijassa-604	109	1	at	at	ADP
ijassa-604	109	2	each	each	DET
ijassa-604	109	3	iteration	iteration	NOUN
ijassa-604	109	4	,	,	PUNCT
ijassa-604	109	5	the	the	DET
ijassa-604	109	6	weight	weight	NOUN
ijassa-604	109	7	coefficients	coefficient	NOUN
ijassa-604	109	8	are	be	AUX
ijassa-604	109	9	updated	update	VERB
ijassa-604	109	10	due	due	ADP
ijassa-604	109	11	to	to	ADP
ijassa-604	109	12	the	the	DET
ijassa-604	109	13	solution	solution	NOUN
ijassa-604	109	14	received	receive	VERB
ijassa-604	109	15	at	at	ADP
ijassa-604	109	16	the	the	DET
ijassa-604	109	17	previous	previous	ADJ
ijassa-604	109	18	step	step	NOUN
ijassa-604	109	19	.	.	PUNCT
ijassa-604	110	1	the	the	DET
ijassa-604	110	2	weighted	weight	VERB
ijassa-604	110	3	1∞-norm	1∞-norm	NOUN
ijassa-604	110	4	is	be	AUX
ijassa-604	110	5	defined	define	VERB
ijassa-604	110	6	as	as	SCONJ
ijassa-604	110	7	follows	follow	VERB
ijassa-604	110	8	:	:	PUNCT
ijassa-604	110	9	‖y	‖y	PUNCT
ijassa-604	111	1	‖w1∞	‖w1∞	X
ijassa-604	112	1	=	=	PUNCT
ijassa-604	113	1	p∑	p∑	X
ijassa-604	114	1	i=1	i=1	X
ijassa-604	114	2	wiri	wiri	PROPN
ijassa-604	114	3	.	.	PUNCT
ijassa-604	115	1	(	(	PUNCT
ijassa-604	115	2	3.12	3.12	NUM
ijassa-604	115	3	)	)	PUNCT
ijassa-604	115	4	the	the	DET
ijassa-604	115	5	iterative	iterative	NOUN
ijassa-604	115	6	procedure	procedure	NOUN
ijassa-604	115	7	from	from	ADP
ijassa-604	115	8	[	[	X
ijassa-604	115	9	3	3	NUM
ijassa-604	115	10	]	]	PUNCT
ijassa-604	115	11	can	can	AUX
ijassa-604	115	12	be	be	AUX
ijassa-604	115	13	schematically	schematically	NOUN
ijassa-604	115	14	written	write	VERB
ijassa-604	115	15	down	down	ADP
ijassa-604	115	16	as	as	SCONJ
ijassa-604	115	17	follows	follow	VERB
ijassa-604	115	18	:	:	PUNCT
ijassa-604	115	19	algorithm	algorithm	NOUN
ijassa-604	115	20	1	1	NUM
ijassa-604	115	21	:	:	PUNCT
ijassa-604	115	22	copyright	copyright	NOUN
ijassa-604	115	23	c	c	ADP
ijassa-604	115	24	©	©	PROPN
ijassa-604	115	25	2018	2018	NUM
ijassa-604	115	26	assa	assa	NOUN
ijassa-604	115	27	.	.	PUNCT
ijassa-604	116	1	adv	adv	PROPN
ijassa-604	116	2	syst	syst	PROPN
ijassa-604	116	3	sci	sci	PROPN
ijassa-604	116	4	appl	appl	PROPN
ijassa-604	116	5	(	(	PUNCT
ijassa-604	116	6	2018	2018	NUM
ijassa-604	116	7	)	)	PUNCT
ijassa-604	116	8	16	16	NUM
ijassa-604	116	9	a.	a.	NOUN
ijassa-604	116	10	bykov	bykov	NOUN
ijassa-604	116	11	,	,	PUNCT
ijassa-604	116	12	p.	p.	NOUN
ijassa-604	116	13	shcherbakov	shcherbakov	NOUN
ijassa-604	116	14	1	1	X
ijassa-604	116	15	.	.	PUNCT
ijassa-604	116	16	initial	initial	ADJ
ijassa-604	116	17	estimate	estimate	NOUN
ijassa-604	116	18	:	:	PUNCT
ijassa-604	116	19	l	l	NOUN
ijassa-604	116	20	=	=	SYM
ijassa-604	116	21	0	0	NUM
ijassa-604	116	22	,	,	PUNCT
ijassa-604	116	23	w	w	NOUN
ijassa-604	116	24	(	(	PUNCT
ijassa-604	116	25	0	0	NUM
ijassa-604	116	26	)	)	PUNCT
ijassa-604	116	27	i	i	NOUN
ijassa-604	116	28	=	=	NOUN
ijassa-604	116	29	1	1	NUM
ijassa-604	116	30	,	,	PUNCT
ijassa-604	116	31	i	i	PRON
ijassa-604	116	32	=	=	NOUN
ijassa-604	116	33	1	1	NUM
ijassa-604	116	34	,	,	PUNCT
ijassa-604	116	35	.	.	PUNCT
ijassa-604	116	36	.	.	PUNCT
ijassa-604	116	37	.	.	PUNCT
ijassa-604	117	1	,	,	PUNCT
ijassa-604	117	2	p.	p.	NOUN
ijassa-604	117	3	2	2	NUM
ijassa-604	117	4	.	.	PUNCT
ijassa-604	118	1	the	the	DET
ijassa-604	118	2	convex	convex	PROPN
ijassa-604	118	3	problem	problem	NOUN
ijassa-604	118	4	with	with	ADP
ijassa-604	118	5	currently	currently	ADV
ijassa-604	118	6	accepted	accept	VERB
ijassa-604	118	7	weights	weight	NOUN
ijassa-604	118	8	is	be	AUX
ijassa-604	118	9	solved	solve	VERB
ijassa-604	118	10	:	:	PUNCT
ijassa-604	118	11	r(l	r(l	NOUN
ijassa-604	118	12	)	)	PUNCT
ijassa-604	118	13	=	=	SYM
ijassa-604	118	14	argmin	argmin	NOUN
ijassa-604	118	15	r	r	NOUN
ijassa-604	118	16	[	[	PUNCT
ijassa-604	118	17	p∑	p∑	NOUN
ijassa-604	118	18	i=1	i=1	PROPN
ijassa-604	118	19	w	w	PROPN
ijassa-604	118	20	(	(	PUNCT
ijassa-604	118	21	l	l	NOUN
ijassa-604	118	22	)	)	PUNCT
ijassa-604	119	1	i	i	PRON
ijassa-604	119	2	ri	ri	VERB
ijassa-604	119	3	]	]	PUNCT
ijassa-604	119	4	s.t	s.t	PROPN
ijassa-604	119	5	.	.	PUNCT
ijassa-604	120	1	(	(	PUNCT
ijassa-604	120	2	2.4	2.4	NUM
ijassa-604	120	3	)	)	PUNCT
ijassa-604	120	4	,	,	PUNCT
ijassa-604	120	5	(	(	PUNCT
ijassa-604	120	6	2.9	2.9	NUM
ijassa-604	120	7	)	)	PUNCT
ijassa-604	120	8	.	.	PUNCT
ijassa-604	121	1	3	3	X
ijassa-604	121	2	.	.	X
ijassa-604	122	1	the	the	DET
ijassa-604	122	2	weights	weight	NOUN
ijassa-604	122	3	are	be	AUX
ijassa-604	122	4	updated	update	VERB
ijassa-604	122	5	:	:	PUNCT
ijassa-604	122	6	w	w	X
ijassa-604	122	7	(	(	PUNCT
ijassa-604	122	8	l+1	l+1	PROPN
ijassa-604	122	9	)	)	PUNCT
ijassa-604	122	10	i	i	NOUN
ijassa-604	122	11	=	=	NOUN
ijassa-604	123	1	1	1	X
ijassa-604	123	2	|r(l)i	|r(l)i	PROPN
ijassa-604	123	3	|+	|+	NOUN
ijassa-604	123	4	ε	ε	PROPN
ijassa-604	123	5	,	,	PUNCT
ijassa-604	123	6	ε	ε	PROPN
ijassa-604	123	7	>	>	X
ijassa-604	123	8	0	0	NUM
ijassa-604	123	9	.	.	PROPN
ijassa-604	123	10	4	4	X
ijassa-604	123	11	.	.	X
ijassa-604	123	12	quit	quit	VERB
ijassa-604	123	13	the	the	DET
ijassa-604	123	14	loop	loop	NOUN
ijassa-604	123	15	if	if	SCONJ
ijassa-604	123	16	the	the	DET
ijassa-604	123	17	procedure	procedure	NOUN
ijassa-604	123	18	converged	converge	VERB
ijassa-604	123	19	or	or	CCONJ
ijassa-604	123	20	the	the	DET
ijassa-604	123	21	maximum	maximum	ADJ
ijassa-604	123	22	number	number	NOUN
ijassa-604	123	23	of	of	ADP
ijassa-604	123	24	iterations	iteration	NOUN
ijassa-604	123	25	is	be	AUX
ijassa-604	123	26	exceeded	exceed	VERB
ijassa-604	123	27	.	.	PUNCT
ijassa-604	124	1	if	if	SCONJ
ijassa-604	124	2	both	both	DET
ijassa-604	124	3	conditions	condition	NOUN
ijassa-604	124	4	are	be	AUX
ijassa-604	124	5	false	false	ADJ
ijassa-604	124	6	,	,	PUNCT
ijassa-604	124	7	go	go	VERB
ijassa-604	124	8	back	back	ADV
ijassa-604	124	9	to	to	PART
ijassa-604	124	10	step	step	NOUN
ijassa-604	124	11	2	2	NUM
ijassa-604	124	12	.	.	PUNCT
ijassa-604	125	1	the	the	DET
ijassa-604	125	2	authors	author	NOUN
ijassa-604	125	3	of	of	ADP
ijassa-604	125	4	the	the	DET
ijassa-604	125	5	original	original	ADJ
ijassa-604	125	6	paper	paper	NOUN
ijassa-604	125	7	[	[	X
ijassa-604	125	8	3	3	X
ijassa-604	125	9	]	]	PUNCT
ijassa-604	125	10	confirmed	confirm	VERB
ijassa-604	125	11	via	via	ADP
ijassa-604	125	12	numerous	numerous	ADJ
ijassa-604	125	13	examples	example	NOUN
ijassa-604	125	14	that	that	SCONJ
ijassa-604	125	15	the	the	DET
ijassa-604	125	16	new	new	ADJ
ijassa-604	125	17	approach	approach	NOUN
ijassa-604	125	18	involving	involve	VERB
ijassa-604	125	19	the	the	DET
ijassa-604	125	20	minimization	minimization	NOUN
ijassa-604	125	21	of	of	ADP
ijassa-604	125	22	the	the	DET
ijassa-604	125	23	weighted	weight	VERB
ijassa-604	125	24	`	`	PUNCT
ijassa-604	125	25	1	1	NUM
ijassa-604	125	26	-	-	PUNCT
ijassa-604	125	27	norm	norm	NOUN
ijassa-604	125	28	performs	perform	VERB
ijassa-604	125	29	much	much	ADV
ijassa-604	125	30	better	well	ADJ
ijassa-604	125	31	than	than	ADP
ijassa-604	125	32	the	the	DET
ijassa-604	125	33	“	"	PUNCT
ijassa-604	125	34	standard	standard	ADJ
ijassa-604	125	35	”	"	PUNCT
ijassa-604	125	36	non	non	ADJ
ijassa-604	125	37	-	-	ADJ
ijassa-604	125	38	weighted	weighted	ADJ
ijassa-604	125	39	approach	approach	NOUN
ijassa-604	125	40	.	.	PUNCT
ijassa-604	126	1	this	this	PRON
ijassa-604	126	2	can	can	AUX
ijassa-604	126	3	be	be	AUX
ijassa-604	126	4	explained	explain	VERB
ijassa-604	126	5	by	by	ADP
ijassa-604	126	6	the	the	DET
ijassa-604	126	7	fact	fact	NOUN
ijassa-604	126	8	that	that	SCONJ
ijassa-604	126	9	the	the	DET
ijassa-604	126	10	sequence	sequence	NOUN
ijassa-604	126	11	of	of	ADP
ijassa-604	126	12	convex	convex	NOUN
ijassa-604	126	13	problems	problem	NOUN
ijassa-604	126	14	can	can	AUX
ijassa-604	126	15	better	well	ADV
ijassa-604	126	16	approximate	approximate	VERB
ijassa-604	126	17	the	the	DET
ijassa-604	126	18	original	original	ADJ
ijassa-604	126	19	nonconvex	nonconvex	NOUN
ijassa-604	126	20	problem	problem	NOUN
ijassa-604	126	21	of	of	ADP
ijassa-604	126	22	minimizing	minimize	VERB
ijassa-604	126	23	the	the	DET
ijassa-604	126	24	matrix	matrix	NOUN
ijassa-604	126	25	`	`	PUNCT
ijassa-604	126	26	0	0	NUM
ijassa-604	126	27	-	-	PUNCT
ijassa-604	126	28	quasinorm	quasinorm	NOUN
ijassa-604	126	29	.	.	PUNCT
ijassa-604	127	1	3.3	3.3	NUM
ijassa-604	127	2	.	.	PUNCT
ijassa-604	127	3	nonconvex	nonconvex	NOUN
ijassa-604	127	4	sparsity	sparsity	NOUN
ijassa-604	127	5	detector	detector	NOUN
ijassa-604	127	6	,	,	PUNCT
ijassa-604	127	7	nsd	nsd	ADV
ijassa-604	127	8	in	in	ADP
ijassa-604	127	9	[	[	X
ijassa-604	127	10	2	2	NUM
ijassa-604	127	11	]	]	PUNCT
ijassa-604	127	12	,	,	PUNCT
ijassa-604	127	13	a	a	DET
ijassa-604	127	14	nonconvex	nonconvex	NOUN
ijassa-604	127	15	sparsity	sparsity	NOUN
ijassa-604	127	16	-	-	PUNCT
ijassa-604	127	17	promoting	promote	VERB
ijassa-604	127	18	surrogate	surrogate	NOUN
ijassa-604	127	19	was	be	AUX
ijassa-604	127	20	introduced	introduce	VERB
ijassa-604	127	21	:	:	PUNCT
ijassa-604	127	22	‖y	‖y	PUNCT
ijassa-604	127	23	‖nsd	‖nsd	ADV
ijassa-604	128	1	=	=	SYM
ijassa-604	128	2	p∑	p∑	X
ijassa-604	129	1	i=1	i=1	PROPN
ijassa-604	129	2	ri	ri	PROPN
ijassa-604	129	3	∏	∏	PROPN
ijassa-604	129	4	j	j	PROPN
ijassa-604	129	5	6	6	NUM
ijassa-604	129	6	=	=	NOUN
ijassa-604	129	7	i	i	PROPN
ijassa-604	129	8	rj	rj	PROPN
ijassa-604	129	9	rj	rj	PROPN
ijassa-604	129	10	+	+	PROPN
ijassa-604	129	11	1	1	NUM
ijassa-604	129	12	.	.	PUNCT
ijassa-604	130	1	(	(	PUNCT
ijassa-604	130	2	3.13	3.13	NUM
ijassa-604	130	3	)	)	PUNCT
ijassa-604	130	4	the	the	DET
ijassa-604	130	5	authors	author	NOUN
ijassa-604	130	6	provide	provide	VERB
ijassa-604	130	7	some	some	DET
ijassa-604	130	8	motivation	motivation	NOUN
ijassa-604	130	9	for	for	ADP
ijassa-604	130	10	this	this	DET
ijassa-604	130	11	particular	particular	ADJ
ijassa-604	130	12	approximation	approximation	NOUN
ijassa-604	130	13	and	and	CCONJ
ijassa-604	130	14	demonstrate	demonstrate	VERB
ijassa-604	130	15	its	its	PRON
ijassa-604	130	16	efficiency	efficiency	NOUN
ijassa-604	130	17	as	as	SCONJ
ijassa-604	130	18	compared	compare	VERB
ijassa-604	130	19	to	to	ADP
ijassa-604	130	20	the	the	DET
ijassa-604	130	21	1∞-norm	1∞-norm	NOUN
ijassa-604	130	22	.	.	PUNCT
ijassa-604	131	1	the	the	DET
ijassa-604	131	2	function	function	NOUN
ijassa-604	131	3	(	(	PUNCT
ijassa-604	131	4	3.13	3.13	NUM
ijassa-604	131	5	)	)	PUNCT
ijassa-604	131	6	is	be	AUX
ijassa-604	131	7	shown	show	VERB
ijassa-604	131	8	to	to	PART
ijassa-604	131	9	be	be	AUX
ijassa-604	131	10	a	a	DET
ijassa-604	131	11	dc	dc	NOUN
ijassa-604	131	12	-	-	PUNCT
ijassa-604	131	13	function	function	NOUN
ijassa-604	131	14	(	(	PUNCT
ijassa-604	131	15	difference	difference	NOUN
ijassa-604	131	16	of	of	ADP
ijassa-604	131	17	convex	convex	NOUN
ijassa-604	131	18	,	,	PUNCT
ijassa-604	131	19	see	see	VERB
ijassa-604	131	20	[	[	X
ijassa-604	131	21	6	6	NUM
ijassa-604	131	22	]	]	PUNCT
ijassa-604	131	23	)	)	PUNCT
ijassa-604	131	24	and	and	CCONJ
ijassa-604	131	25	for	for	ADP
ijassa-604	131	26	its	its	PRON
ijassa-604	131	27	minimization	minimization	NOUN
ijassa-604	131	28	,	,	PUNCT
ijassa-604	131	29	the	the	DET
ijassa-604	131	30	concave	concave	VERB
ijassa-604	131	31	-	-	PUNCT
ijassa-604	131	32	convex	convex	NOUN
ijassa-604	131	33	procedure	procedure	NOUN
ijassa-604	131	34	(	(	PUNCT
ijassa-604	131	35	abbr	abbr	PROPN
ijassa-604	131	36	.	.	PUNCT
ijassa-604	132	1	cccp	cccp	PROPN
ijassa-604	132	2	,	,	PUNCT
ijassa-604	132	3	e.g.	e.g.	ADV
ijassa-604	132	4	,	,	PUNCT
ijassa-604	132	5	see	see	VERB
ijassa-604	132	6	[	[	X
ijassa-604	132	7	21	21	NUM
ijassa-604	132	8	]	]	PUNCT
ijassa-604	132	9	)	)	PUNCT
ijassa-604	132	10	is	be	AUX
ijassa-604	132	11	proposed	propose	VERB
ijassa-604	132	12	.	.	PUNCT
ijassa-604	133	1	let	let	VERB
ijassa-604	133	2	the	the	DET
ijassa-604	133	3	function	function	NOUN
ijassa-604	133	4	(	(	PUNCT
ijassa-604	133	5	3.13	3.13	NUM
ijassa-604	133	6	)	)	PUNCT
ijassa-604	133	7	be	be	AUX
ijassa-604	133	8	represented	represent	VERB
ijassa-604	133	9	as	as	ADP
ijassa-604	133	10	a	a	DET
ijassa-604	133	11	dc	dc	NOUN
ijassa-604	133	12	-	-	PUNCT
ijassa-604	133	13	function	function	NOUN
ijassa-604	133	14	:	:	PUNCT
ijassa-604	133	15	nsd(r	nsd(r	X
ijassa-604	133	16	)	)	PUNCT
ijassa-604	133	17	=	=	PUNCT
ijassa-604	134	1	u(r)−	u(r)−	NOUN
ijassa-604	134	2	v	v	NOUN
ijassa-604	134	3	(	(	PUNCT
ijassa-604	134	4	r	r	NOUN
ijassa-604	134	5	)	)	PUNCT
ijassa-604	134	6	.	.	PUNCT
ijassa-604	135	1	then	then	ADV
ijassa-604	135	2	the	the	DET
ijassa-604	135	3	procedure	procedure	NOUN
ijassa-604	135	4	for	for	ADP
ijassa-604	135	5	its	its	PRON
ijassa-604	135	6	minimization	minimization	NOUN
ijassa-604	135	7	is	be	AUX
ijassa-604	135	8	given	give	VERB
ijassa-604	135	9	below	below	ADV
ijassa-604	135	10	:	:	PUNCT
ijassa-604	135	11	algorithm	algorithm	NOUN
ijassa-604	135	12	2	2	NUM
ijassa-604	135	13	:	:	SYM
ijassa-604	135	14	1	1	NUM
ijassa-604	135	15	.	.	X
ijassa-604	135	16	initial	initial	ADJ
ijassa-604	135	17	estimate	estimate	NOUN
ijassa-604	135	18	:	:	PUNCT
ijassa-604	135	19	l	l	NOUN
ijassa-604	135	20	=	=	SYM
ijassa-604	135	21	0	0	NUM
ijassa-604	135	22	,	,	PUNCT
ijassa-604	135	23	r	r	NOUN
ijassa-604	135	24	(	(	PUNCT
ijassa-604	135	25	0	0	NUM
ijassa-604	135	26	)	)	PUNCT
ijassa-604	136	1	i	i	PRON
ijassa-604	136	2	=	=	SYM
ijassa-604	137	1	max	max	PROPN
ijassa-604	137	2	16j6n	16j6n	PROPN
ijassa-604	137	3	|yij|	|yij|	PROPN
ijassa-604	137	4	,	,	PUNCT
ijassa-604	137	5	i	i	NOUN
ijassa-604	137	6	=	=	NOUN
ijassa-604	137	7	1	1	NUM
ijassa-604	137	8	,	,	PUNCT
ijassa-604	137	9	.	.	PUNCT
ijassa-604	137	10	.	.	PUNCT
ijassa-604	137	11	.	.	PUNCT
ijassa-604	138	1	,	,	PUNCT
ijassa-604	139	1	p	p	X
ijassa-604	139	2	,	,	PUNCT
ijassa-604	139	3	where	where	SCONJ
ijassa-604	139	4	yopt	yopt	ADJ
ijassa-604	139	5	=	=	SYM
ijassa-604	139	6	‖yij‖	‖yij‖	NOUN
ijassa-604	139	7	is	be	AUX
ijassa-604	139	8	the	the	DET
ijassa-604	139	9	solution	solution	NOUN
ijassa-604	139	10	of	of	ADP
ijassa-604	139	11	problem	problem	NOUN
ijassa-604	139	12	1	1	NUM
ijassa-604	139	13	.	.	NOUN
ijassa-604	139	14	2	2	NUM
ijassa-604	139	15	.	.	X
ijassa-604	140	1	the	the	DET
ijassa-604	140	2	following	follow	VERB
ijassa-604	140	3	convex	convex	NOUN
ijassa-604	140	4	problem	problem	NOUN
ijassa-604	140	5	is	be	AUX
ijassa-604	140	6	solved	solve	VERB
ijassa-604	140	7	:	:	PUNCT
ijassa-604	140	8	r(l+1	r(l+1	X
ijassa-604	140	9	)	)	PUNCT
ijassa-604	141	1	=	=	SYM
ijassa-604	141	2	argmin	argmin	NOUN
ijassa-604	141	3	r	r	NOUN
ijassa-604	141	4	[	[	PUNCT
ijassa-604	141	5	u(r)−	u(r)−	NOUN
ijassa-604	141	6	r>∇v	r>∇v	NOUN
ijassa-604	141	7	(	(	PUNCT
ijassa-604	141	8	r(l	r(l	PROPN
ijassa-604	141	9	)	)	PUNCT
ijassa-604	141	10	)	)	PUNCT
ijassa-604	141	11	]	]	PUNCT
ijassa-604	142	1	s.t	s.t	PROPN
ijassa-604	142	2	.	.	PROPN
ijassa-604	142	3	(	(	PUNCT
ijassa-604	142	4	2.4	2.4	NUM
ijassa-604	142	5	)	)	PUNCT
ijassa-604	142	6	,	,	PUNCT
ijassa-604	142	7	(	(	PUNCT
ijassa-604	142	8	2.9	2.9	NUM
ijassa-604	142	9	)	)	PUNCT
ijassa-604	142	10	.	.	PUNCT
ijassa-604	143	1	3	3	X
ijassa-604	143	2	.	.	X
ijassa-604	143	3	quit	quit	VERB
ijassa-604	143	4	the	the	DET
ijassa-604	143	5	loop	loop	NOUN
ijassa-604	143	6	if	if	SCONJ
ijassa-604	143	7	the	the	DET
ijassa-604	143	8	procedure	procedure	NOUN
ijassa-604	143	9	converged	converge	VERB
ijassa-604	143	10	or	or	CCONJ
ijassa-604	143	11	the	the	DET
ijassa-604	143	12	maximum	maximum	ADJ
ijassa-604	143	13	number	number	NOUN
ijassa-604	143	14	of	of	ADP
ijassa-604	143	15	iterations	iteration	NOUN
ijassa-604	143	16	is	be	AUX
ijassa-604	143	17	exceeded	exceed	VERB
ijassa-604	143	18	.	.	PUNCT
ijassa-604	144	1	if	if	SCONJ
ijassa-604	144	2	both	both	DET
ijassa-604	144	3	conditions	condition	NOUN
ijassa-604	144	4	are	be	AUX
ijassa-604	144	5	false	false	ADJ
ijassa-604	144	6	,	,	PUNCT
ijassa-604	144	7	go	go	VERB
ijassa-604	144	8	back	back	ADV
ijassa-604	144	9	to	to	PART
ijassa-604	144	10	step	step	NOUN
ijassa-604	144	11	2	2	NUM
ijassa-604	144	12	.	.	PUNCT
ijassa-604	145	1	in	in	ADP
ijassa-604	145	2	[	[	X
ijassa-604	145	3	9	9	NUM
ijassa-604	145	4	]	]	PUNCT
ijassa-604	145	5	,	,	PUNCT
ijassa-604	145	6	the	the	DET
ijassa-604	145	7	results	result	NOUN
ijassa-604	145	8	on	on	ADP
ijassa-604	145	9	the	the	DET
ijassa-604	145	10	convergence	convergence	NOUN
ijassa-604	145	11	of	of	ADP
ijassa-604	145	12	the	the	DET
ijassa-604	145	13	cccp	cccp	NOUN
ijassa-604	145	14	procedure	procedure	NOUN
ijassa-604	145	15	are	be	AUX
ijassa-604	145	16	presented	present	VERB
ijassa-604	145	17	;	;	PUNCT
ijassa-604	145	18	in	in	ADP
ijassa-604	145	19	the	the	DET
ijassa-604	145	20	general	general	ADJ
ijassa-604	145	21	case	case	NOUN
ijassa-604	145	22	,	,	PUNCT
ijassa-604	145	23	global	global	ADJ
ijassa-604	145	24	convergence	convergence	NOUN
ijassa-604	145	25	is	be	AUX
ijassa-604	145	26	not	not	PART
ijassa-604	145	27	guaranteed	guarantee	VERB
ijassa-604	145	28	,	,	PUNCT
ijassa-604	145	29	since	since	SCONJ
ijassa-604	145	30	the	the	DET
ijassa-604	145	31	problem	problem	NOUN
ijassa-604	145	32	is	be	AUX
ijassa-604	145	33	not	not	PART
ijassa-604	145	34	convex	convex	ADJ
ijassa-604	145	35	.	.	PUNCT
ijassa-604	146	1	however	however	ADV
ijassa-604	146	2	,	,	PUNCT
ijassa-604	146	3	for	for	ADP
ijassa-604	146	4	many	many	ADJ
ijassa-604	146	5	applications	application	NOUN
ijassa-604	146	6	this	this	DET
ijassa-604	146	7	procedure	procedure	NOUN
ijassa-604	146	8	yields	yield	VERB
ijassa-604	146	9	an	an	DET
ijassa-604	146	10	appropriate	appropriate	ADJ
ijassa-604	146	11	solution	solution	NOUN
ijassa-604	146	12	.	.	PUNCT
ijassa-604	147	1	copyright	copyright	NOUN
ijassa-604	147	2	c	c	ADP
ijassa-604	147	3	©	©	PROPN
ijassa-604	147	4	2018	2018	NUM
ijassa-604	147	5	assa	assa	NOUN
ijassa-604	147	6	.	.	PUNCT
ijassa-604	148	1	adv	adv	PROPN
ijassa-604	148	2	syst	syst	PROPN
ijassa-604	148	3	sci	sci	PROPN
ijassa-604	148	4	appl	appl	PROPN
ijassa-604	148	5	(	(	PUNCT
ijassa-604	148	6	2018	2018	NUM
ijassa-604	148	7	)	)	PUNCT
ijassa-604	148	8	surrogates	surrogate	NOUN
ijassa-604	148	9	for	for	ADP
ijassa-604	148	10	the	the	DET
ijassa-604	148	11	matrix	matrix	NOUN
ijassa-604	148	12	`	`	PUNCT
ijassa-604	148	13	0	0	NUM
ijassa-604	148	14	-	-	PUNCT
ijassa-604	148	15	quasinorm	quasinorm	NOUN
ijassa-604	148	16	17	17	NUM
ijassa-604	148	17	3.4	3.4	NUM
ijassa-604	148	18	.	.	PUNCT
ijassa-604	149	1	nonconvex	nonconvex	NOUN
ijassa-604	149	2	approximation	approximation	NOUN
ijassa-604	149	3	log	log	NOUN
ijassa-604	149	4	-	-	PUNCT
ijassa-604	149	5	sum	sum	NOUN
ijassa-604	149	6	in	in	ADP
ijassa-604	149	7	[	[	X
ijassa-604	149	8	3	3	NUM
ijassa-604	149	9	,	,	PUNCT
ijassa-604	149	10	4	4	NUM
ijassa-604	149	11	,	,	PUNCT
ijassa-604	149	12	13	13	NUM
ijassa-604	149	13	]	]	PUNCT
ijassa-604	150	1	,	,	PUNCT
ijassa-604	150	2	the	the	DET
ijassa-604	150	3	function	function	NOUN
ijassa-604	150	4	log	log	NOUN
ijassa-604	150	5	-	-	PUNCT
ijassa-604	150	6	sum	sum	NOUN
ijassa-604	150	7	(	(	PUNCT
ijassa-604	150	8	see	see	VERB
ijassa-604	150	9	definition	definition	NOUN
ijassa-604	150	10	below	below	ADV
ijassa-604	150	11	)	)	PUNCT
ijassa-604	150	12	is	be	AUX
ijassa-604	150	13	shown	show	VERB
ijassa-604	150	14	to	to	PART
ijassa-604	150	15	present	present	VERB
ijassa-604	150	16	a	a	DET
ijassa-604	150	17	more	more	ADV
ijassa-604	150	18	precise	precise	ADJ
ijassa-604	150	19	approximation	approximation	NOUN
ijassa-604	150	20	to	to	ADP
ijassa-604	150	21	the	the	DET
ijassa-604	150	22	`	`	PUNCT
ijassa-604	150	23	0	0	NUM
ijassa-604	150	24	-	-	PUNCT
ijassa-604	150	25	norm	norm	NOUN
ijassa-604	150	26	of	of	ADP
ijassa-604	150	27	a	a	DET
ijassa-604	150	28	vector	vector	NOUN
ijassa-604	150	29	than	than	ADP
ijassa-604	150	30	convex	convex	NOUN
ijassa-604	150	31	approximations	approximation	NOUN
ijassa-604	150	32	.	.	PUNCT
ijassa-604	151	1	indeed	indeed	ADV
ijassa-604	151	2	,	,	PUNCT
ijassa-604	151	3	let	let	VERB
ijassa-604	151	4	us	we	PRON
ijassa-604	151	5	consider	consider	VERB
ijassa-604	151	6	the	the	DET
ijassa-604	151	7	following	follow	VERB
ijassa-604	151	8	scalar	scalar	ADJ
ijassa-604	151	9	functions	function	NOUN
ijassa-604	151	10	(	(	PUNCT
ijassa-604	151	11	see	see	VERB
ijassa-604	151	12	fig	fig	NOUN
ijassa-604	151	13	.	.	PUNCT
ijassa-604	152	1	3.1	3.1	NUM
ijassa-604	152	2	)	)	PUNCT
ijassa-604	152	3	which	which	PRON
ijassa-604	152	4	can	can	AUX
ijassa-604	152	5	be	be	AUX
ijassa-604	152	6	used	use	VERB
ijassa-604	152	7	as	as	ADP
ijassa-604	152	8	penalty	penalty	NOUN
ijassa-604	152	9	functions	function	NOUN
ijassa-604	152	10	for	for	ADP
ijassa-604	152	11	nonzero	nonzero	PROPN
ijassa-604	152	12	values	value	NOUN
ijassa-604	152	13	:	:	PUNCT
ijassa-604	152	14	f0(x	f0(x	NOUN
ijassa-604	152	15	)	)	PUNCT
ijassa-604	152	16	=	=	SYM
ijassa-604	153	1	1[x	1[x	NUM
ijassa-604	153	2	6=0	6=0	NUM
ijassa-604	153	3	]	]	X
ijassa-604	153	4	,	,	PUNCT
ijassa-604	153	5	f1(x	f1(x	NUM
ijassa-604	153	6	)	)	PUNCT
ijassa-604	153	7	=	=	SYM
ijassa-604	153	8	|x|	|x|	PROPN
ijassa-604	153	9	,	,	PUNCT
ijassa-604	153	10	flog	flog	NOUN
ijassa-604	153	11	,	,	PUNCT
ijassa-604	153	12	ε(x	ε(x	NOUN
ijassa-604	153	13	)	)	PUNCT
ijassa-604	153	14	=	=	SYM
ijassa-604	153	15	cε	cε	X
ijassa-604	153	16	log	log	NOUN
ijassa-604	153	17	(	(	PUNCT
ijassa-604	153	18	1	1	NUM
ijassa-604	153	19	+	+	CCONJ
ijassa-604	153	20	|x|	|x|	PROPN
ijassa-604	153	21	ε	ε	PROPN
ijassa-604	153	22	)	)	PUNCT
ijassa-604	153	23	;	;	PUNCT
ijassa-604	153	24	the	the	DET
ijassa-604	153	25	factor	factor	NOUN
ijassa-604	153	26	cε	cε	PROPN
ijassa-604	153	27	is	be	AUX
ijassa-604	153	28	chosen	choose	VERB
ijassa-604	153	29	in	in	ADP
ijassa-604	153	30	a	a	DET
ijassa-604	153	31	such	such	ADJ
ijassa-604	153	32	way	way	NOUN
ijassa-604	153	33	that	that	SCONJ
ijassa-604	153	34	the	the	DET
ijassa-604	153	35	equality	equality	NOUN
ijassa-604	153	36	flog	flog	NOUN
ijassa-604	153	37	,	,	PUNCT
ijassa-604	153	38	ε(1	ε(1	NOUN
ijassa-604	153	39	)	)	PUNCT
ijassa-604	153	40	=	=	SYM
ijassa-604	153	41	1	1	NUM
ijassa-604	153	42	=	=	SYM
ijassa-604	153	43	f0(1	f0(1	PROPN
ijassa-604	153	44	)	)	PUNCT
ijassa-604	153	45	=	=	SYM
ijassa-604	153	46	f1(1	f1(1	ADJ
ijassa-604	153	47	)	)	PUNCT
ijassa-604	153	48	holds	hold	NOUN
ijassa-604	153	49	.	.	PUNCT
ijassa-604	154	1	-1	-1	X
ijassa-604	154	2	0	0	NUM
ijassa-604	155	1	1	1	NUM
ijassa-604	155	2	x	x	SYM
ijassa-604	155	3	0	0	NUM
ijassa-604	155	4	1	1	NUM
ijassa-604	155	5	f	f	NOUN
ijassa-604	155	6	0	0	NUM
ijassa-604	155	7	(	(	PUNCT
ijassa-604	155	8	x	x	X
ijassa-604	155	9	)	)	PUNCT
ijassa-604	155	10	f	f	PROPN
ijassa-604	155	11	1	1	NUM
ijassa-604	155	12	(	(	PUNCT
ijassa-604	155	13	x	x	NOUN
ijassa-604	155	14	)	)	PUNCT
ijassa-604	155	15	f	f	PROPN
ijassa-604	155	16	log	log	PROPN
ijassa-604	155	17	,	,	PUNCT
ijassa-604	155	18	ǫ	ǫ	PROPN
ijassa-604	155	19	(	(	PUNCT
ijassa-604	155	20	x	x	NOUN
ijassa-604	155	21	)	)	PUNCT
ijassa-604	155	22	fig	fig	NOUN
ijassa-604	155	23	.	.	PUNCT
ijassa-604	155	24	3.1	3.1	NUM
ijassa-604	155	25	.	.	PUNCT
ijassa-604	155	26	approximations	approximation	NOUN
ijassa-604	155	27	to	to	ADP
ijassa-604	155	28	the	the	DET
ijassa-604	155	29	`	`	PUNCT
ijassa-604	155	30	0	0	NUM
ijassa-604	155	31	-	-	PUNCT
ijassa-604	155	32	quasinorm	quasinorm	NOUN
ijassa-604	155	33	the	the	DET
ijassa-604	155	34	derivative	derivative	NOUN
ijassa-604	155	35	of	of	ADP
ijassa-604	155	36	the	the	DET
ijassa-604	155	37	function	function	NOUN
ijassa-604	155	38	flog	flog	NOUN
ijassa-604	155	39	,	,	PUNCT
ijassa-604	155	40	ε(x	ε(x	NOUN
ijassa-604	155	41	)	)	PUNCT
ijassa-604	155	42	in	in	ADP
ijassa-604	155	43	the	the	DET
ijassa-604	155	44	positive	positive	ADJ
ijassa-604	155	45	vicinity	vicinity	NOUN
ijassa-604	155	46	of	of	ADP
ijassa-604	155	47	the	the	DET
ijassa-604	155	48	origin	origin	NOUN
ijassa-604	155	49	grows	grow	VERB
ijassa-604	155	50	approximately	approximately	ADV
ijassa-604	155	51	like	like	INTJ
ijassa-604	155	52	1	1	NUM
ijassa-604	155	53	ε	ε	PROPN
ijassa-604	155	54	as	as	ADP
ijassa-604	155	55	ε	ε	PROPN
ijassa-604	155	56	−→	−→	NOUN
ijassa-604	155	57	0	0	NUM
ijassa-604	155	58	.	.	PUNCT
ijassa-604	156	1	this	this	PRON
ijassa-604	156	2	leads	lead	VERB
ijassa-604	156	3	to	to	ADP
ijassa-604	156	4	a	a	DET
ijassa-604	156	5	relatively	relatively	ADV
ijassa-604	156	6	big	big	ADJ
ijassa-604	156	7	amount	amount	NOUN
ijassa-604	156	8	of	of	ADP
ijassa-604	156	9	penalty	penalty	NOUN
ijassa-604	156	10	for	for	ADP
ijassa-604	156	11	small	small	ADJ
ijassa-604	156	12	but	but	CCONJ
ijassa-604	156	13	not	not	PART
ijassa-604	156	14	exactly	exactly	ADV
ijassa-604	156	15	zero	zero	NUM
ijassa-604	156	16	values	value	NOUN
ijassa-604	156	17	.	.	PUNCT
ijassa-604	157	1	moreover	moreover	ADV
ijassa-604	157	2	,	,	PUNCT
ijassa-604	157	3	note	note	VERB
ijassa-604	157	4	that	that	DET
ijassa-604	157	5	flog	flog	NOUN
ijassa-604	157	6	,	,	PUNCT
ijassa-604	157	7	ε(x	ε(x	NOUN
ijassa-604	157	8	)	)	PUNCT
ijassa-604	157	9	−→	−→	NOUN
ijassa-604	157	10	f0(x	f0(x	NOUN
ijassa-604	157	11	)	)	PUNCT
ijassa-604	157	12	as	as	ADP
ijassa-604	157	13	ε	ε	PROPN
ijassa-604	157	14	−→	−→	NOUN
ijassa-604	157	15	0	0	NUM
ijassa-604	157	16	.	.	PUNCT
ijassa-604	158	1	unfortunately	unfortunately	ADV
ijassa-604	158	2	,	,	PUNCT
ijassa-604	158	3	as	as	SCONJ
ijassa-604	158	4	ε	ε	PROPN
ijassa-604	158	5	tends	tend	VERB
ijassa-604	158	6	to	to	ADP
ijassa-604	158	7	zero	zero	NUM
ijassa-604	158	8	,	,	PUNCT
ijassa-604	158	9	the	the	DET
ijassa-604	158	10	minimization	minimization	NOUN
ijassa-604	158	11	of	of	ADP
ijassa-604	158	12	the	the	DET
ijassa-604	158	13	function	function	NOUN
ijassa-604	158	14	log	log	NOUN
ijassa-604	158	15	-	-	PUNCT
ijassa-604	158	16	sum	sum	NOUN
ijassa-604	158	17	becomes	become	VERB
ijassa-604	158	18	difficult	difficult	ADJ
ijassa-604	158	19	;	;	PUNCT
ijassa-604	158	20	for	for	ADP
ijassa-604	158	21	heuristic	heuristic	NOUN
ijassa-604	158	22	of	of	ADP
ijassa-604	158	23	choosing	choose	VERB
ijassa-604	158	24	ε	ε	PROPN
ijassa-604	158	25	see	see	VERB
ijassa-604	158	26	[	[	X
ijassa-604	158	27	3	3	NUM
ijassa-604	158	28	]	]	PUNCT
ijassa-604	158	29	.	.	PUNCT
ijassa-604	159	1	the	the	DET
ijassa-604	159	2	function	function	NOUN
ijassa-604	159	3	log	log	NOUN
ijassa-604	159	4	-	-	PUNCT
ijassa-604	159	5	sum	sum	NOUN
ijassa-604	159	6	adapted	adapt	VERB
ijassa-604	159	7	for	for	ADP
ijassa-604	159	8	promoting	promote	VERB
ijassa-604	159	9	matrix	matrix	NOUN
ijassa-604	159	10	row	row	NOUN
ijassa-604	159	11	-	-	PUNCT
ijassa-604	159	12	sparsity	sparsity	NOUN
ijassa-604	159	13	can	can	AUX
ijassa-604	159	14	be	be	AUX
ijassa-604	159	15	written	write	VERB
ijassa-604	159	16	as	as	ADP
ijassa-604	159	17	‖y	‖y	ADJ
ijassa-604	159	18	‖log	‖log	ADJ
ijassa-604	159	19	-	-	PUNCT
ijassa-604	159	20	sum	sum	NOUN
ijassa-604	160	1	=	=	PUNCT
ijassa-604	160	2	p∑	p∑	NOUN
ijassa-604	161	1	i=1	i=1	PROPN
ijassa-604	161	2	log	log	NOUN
ijassa-604	161	3	(	(	PUNCT
ijassa-604	161	4	1	1	NUM
ijassa-604	161	5	+	+	NUM
ijassa-604	161	6	ri	ri	NOUN
ijassa-604	161	7	)	)	PUNCT
ijassa-604	161	8	.	.	PUNCT
ijassa-604	162	1	(	(	PUNCT
ijassa-604	162	2	3.14	3.14	NUM
ijassa-604	162	3	)	)	PUNCT
ijassa-604	162	4	since	since	SCONJ
ijassa-604	162	5	the	the	DET
ijassa-604	162	6	function	function	NOUN
ijassa-604	162	7	(	(	PUNCT
ijassa-604	162	8	3.14	3.14	NUM
ijassa-604	162	9	)	)	PUNCT
ijassa-604	162	10	is	be	AUX
ijassa-604	162	11	concave	concave	VERB
ijassa-604	162	12	,	,	PUNCT
ijassa-604	162	13	it	it	PRON
ijassa-604	162	14	can	can	AUX
ijassa-604	162	15	not	not	PART
ijassa-604	162	16	be	be	AUX
ijassa-604	162	17	minimized	minimize	VERB
ijassa-604	162	18	via	via	ADP
ijassa-604	162	19	convex	convex	NOUN
ijassa-604	162	20	optimization	optimization	NOUN
ijassa-604	162	21	framework	framework	NOUN
ijassa-604	162	22	.	.	PUNCT
ijassa-604	163	1	however	however	ADV
ijassa-604	163	2	,	,	PUNCT
ijassa-604	163	3	it	it	PRON
ijassa-604	163	4	can	can	AUX
ijassa-604	163	5	be	be	AUX
ijassa-604	163	6	treated	treat	VERB
ijassa-604	163	7	as	as	ADP
ijassa-604	163	8	a	a	DET
ijassa-604	163	9	special	special	ADJ
ijassa-604	163	10	case	case	NOUN
ijassa-604	163	11	of	of	ADP
ijassa-604	163	12	dc	dc	PROPN
ijassa-604	163	13	-	-	PUNCT
ijassa-604	163	14	function	function	NOUN
ijassa-604	163	15	,	,	PUNCT
ijassa-604	163	16	so	so	ADV
ijassa-604	163	17	,	,	PUNCT
ijassa-604	163	18	it	it	PRON
ijassa-604	163	19	can	can	AUX
ijassa-604	163	20	be	be	AUX
ijassa-604	163	21	minimized	minimize	VERB
ijassa-604	163	22	via	via	ADP
ijassa-604	163	23	concave	concave	VERB
ijassa-604	163	24	-	-	PUNCT
ijassa-604	163	25	convex	convex	NOUN
ijassa-604	163	26	procedure	procedure	NOUN
ijassa-604	163	27	(	(	PUNCT
ijassa-604	163	28	cccp	cccp	PROPN
ijassa-604	163	29	)	)	PUNCT
ijassa-604	163	30	just	just	ADV
ijassa-604	163	31	like	like	ADP
ijassa-604	163	32	the	the	DET
ijassa-604	163	33	nsd	nsd	ADJ
ijassa-604	163	34	function	function	NOUN
ijassa-604	163	35	.	.	PUNCT
ijassa-604	164	1	4	4	X
ijassa-604	164	2	.	.	X
ijassa-604	164	3	results	result	NOUN
ijassa-604	164	4	of	of	ADP
ijassa-604	164	5	numerical	numerical	ADJ
ijassa-604	164	6	experiments	experiment	NOUN
ijassa-604	164	7	in	in	ADP
ijassa-604	164	8	the	the	DET
ijassa-604	164	9	previous	previous	ADJ
ijassa-604	164	10	section	section	NOUN
ijassa-604	164	11	,	,	PUNCT
ijassa-604	164	12	several	several	ADJ
ijassa-604	164	13	well	well	ADV
ijassa-604	164	14	-	-	PUNCT
ijassa-604	164	15	known	know	VERB
ijassa-604	164	16	and	and	CCONJ
ijassa-604	164	17	relatively	relatively	ADV
ijassa-604	164	18	new	new	ADJ
ijassa-604	164	19	approximations	approximation	NOUN
ijassa-604	164	20	to	to	ADP
ijassa-604	164	21	the	the	DET
ijassa-604	164	22	number	number	NOUN
ijassa-604	164	23	of	of	ADP
ijassa-604	164	24	nonzero	nonzero	PROPN
ijassa-604	164	25	rows	row	NOUN
ijassa-604	164	26	of	of	ADP
ijassa-604	164	27	a	a	DET
ijassa-604	164	28	matrix	matrix	NOUN
ijassa-604	164	29	were	be	AUX
ijassa-604	164	30	considered	consider	VERB
ijassa-604	164	31	.	.	PUNCT
ijassa-604	165	1	among	among	ADP
ijassa-604	165	2	these	these	DET
ijassa-604	165	3	surrogates	surrogate	NOUN
ijassa-604	165	4	are	be	AUX
ijassa-604	165	5	the	the	DET
ijassa-604	165	6	1∞-norm	1∞-norm	ADJ
ijassa-604	165	7	copyright	copyright	NOUN
ijassa-604	165	8	c	c	ADP
ijassa-604	165	9	©	©	PROPN
ijassa-604	165	10	2018	2018	NUM
ijassa-604	165	11	assa	assa	NOUN
ijassa-604	165	12	.	.	PUNCT
ijassa-604	166	1	adv	adv	PROPN
ijassa-604	166	2	syst	syst	PROPN
ijassa-604	166	3	sci	sci	PROPN
ijassa-604	166	4	appl	appl	PROPN
ijassa-604	166	5	(	(	PUNCT
ijassa-604	166	6	2018	2018	NUM
ijassa-604	166	7	)	)	PUNCT
ijassa-604	166	8	18	18	NUM
ijassa-604	166	9	a.	a.	NOUN
ijassa-604	166	10	bykov	bykov	NOUN
ijassa-604	166	11	,	,	PUNCT
ijassa-604	166	12	p.	p.	NOUN
ijassa-604	166	13	shcherbakov	shcherbakov	NOUN
ijassa-604	166	14	exploited	exploit	VERB
ijassa-604	166	15	in	in	ADP
ijassa-604	166	16	[	[	X
ijassa-604	166	17	16	16	NUM
ijassa-604	166	18	]	]	PUNCT
ijassa-604	166	19	,	,	PUNCT
ijassa-604	166	20	and	and	CCONJ
ijassa-604	166	21	the	the	DET
ijassa-604	166	22	nsd	nsd	NOUN
ijassa-604	166	23	function	function	NOUN
ijassa-604	166	24	introduced	introduce	VERB
ijassa-604	166	25	in	in	ADP
ijassa-604	166	26	[	[	X
ijassa-604	166	27	2	2	NUM
ijassa-604	166	28	]	]	PUNCT
ijassa-604	166	29	.	.	PUNCT
ijassa-604	167	1	both	both	DET
ijassa-604	167	2	approximations	approximation	NOUN
ijassa-604	167	3	,	,	PUNCT
ijassa-604	167	4	however	however	ADV
ijassa-604	167	5	,	,	PUNCT
ijassa-604	167	6	have	have	AUX
ijassa-604	167	7	not	not	PART
ijassa-604	167	8	yet	yet	ADV
ijassa-604	167	9	received	receive	VERB
ijassa-604	167	10	enough	enough	ADJ
ijassa-604	167	11	approval	approval	NOUN
ijassa-604	167	12	from	from	ADP
ijassa-604	167	13	numerical	numerical	ADJ
ijassa-604	167	14	experiments	experiment	NOUN
ijassa-604	167	15	;	;	PUNCT
ijassa-604	167	16	therefore	therefore	ADV
ijassa-604	167	17	,	,	PUNCT
ijassa-604	167	18	they	they	PRON
ijassa-604	167	19	were	be	AUX
ijassa-604	167	20	chosen	choose	VERB
ijassa-604	167	21	as	as	ADP
ijassa-604	167	22	contestants	contestant	NOUN
ijassa-604	167	23	for	for	ADP
ijassa-604	167	24	the	the	DET
ijassa-604	167	25	experiment	experiment	NOUN
ijassa-604	167	26	in	in	ADP
ijassa-604	167	27	this	this	DET
ijassa-604	167	28	paper	paper	NOUN
ijassa-604	167	29	.	.	PUNCT
ijassa-604	168	1	also	also	ADV
ijassa-604	168	2	,	,	PUNCT
ijassa-604	168	3	two	two	NUM
ijassa-604	168	4	other	other	ADJ
ijassa-604	168	5	approximations	approximation	NOUN
ijassa-604	168	6	(	(	PUNCT
ijassa-604	168	7	the	the	DET
ijassa-604	168	8	weighted	weighted	ADJ
ijassa-604	168	9	1∞-norm	1∞-norm	NOUN
ijassa-604	168	10	and	and	CCONJ
ijassa-604	168	11	the	the	DET
ijassa-604	168	12	function	function	NOUN
ijassa-604	168	13	log	log	NOUN
ijassa-604	168	14	-	-	PUNCT
ijassa-604	168	15	sum	sum	NOUN
ijassa-604	168	16	)	)	PUNCT
ijassa-604	168	17	,	,	PUNCT
ijassa-604	168	18	which	which	PRON
ijassa-604	168	19	were	be	AUX
ijassa-604	168	20	earlier	early	ADV
ijassa-604	168	21	applied	apply	VERB
ijassa-604	168	22	in	in	ADP
ijassa-604	168	23	the	the	DET
ijassa-604	168	24	case	case	NOUN
ijassa-604	168	25	of	of	ADP
ijassa-604	168	26	vector	vector	NOUN
ijassa-604	168	27	variables	variable	NOUN
ijassa-604	168	28	,	,	PUNCT
ijassa-604	168	29	were	be	AUX
ijassa-604	168	30	adapted	adapt	VERB
ijassa-604	168	31	for	for	ADP
ijassa-604	168	32	promoting	promote	VERB
ijassa-604	168	33	matrix	matrix	NOUN
ijassa-604	168	34	row	row	NOUN
ijassa-604	168	35	-	-	PUNCT
ijassa-604	168	36	sparsity	sparsity	NOUN
ijassa-604	168	37	.	.	PUNCT
ijassa-604	169	1	all	all	DET
ijassa-604	169	2	these	these	DET
ijassa-604	169	3	surrogates	surrogate	NOUN
ijassa-604	169	4	were	be	AUX
ijassa-604	169	5	used	use	VERB
ijassa-604	169	6	at	at	ADP
ijassa-604	169	7	step	step	NOUN
ijassa-604	169	8	2	2	NUM
ijassa-604	169	9	of	of	ADP
ijassa-604	169	10	the	the	DET
ijassa-604	169	11	three	three	NUM
ijassa-604	169	12	-	-	PUNCT
ijassa-604	169	13	step	step	NOUN
ijassa-604	169	14	procedure	procedure	NOUN
ijassa-604	169	15	to	to	PART
ijassa-604	169	16	design	design	VERB
ijassa-604	169	17	sparse	sparse	ADJ
ijassa-604	169	18	controllers	controller	NOUN
ijassa-604	169	19	in	in	ADP
ijassa-604	169	20	the	the	DET
ijassa-604	169	21	numerical	numerical	ADJ
ijassa-604	169	22	experiment	experiment	NOUN
ijassa-604	169	23	.	.	PUNCT
ijassa-604	170	1	all	all	DET
ijassa-604	170	2	the	the	DET
ijassa-604	170	3	examples	example	NOUN
ijassa-604	170	4	described	describe	VERB
ijassa-604	170	5	below	below	ADV
ijassa-604	170	6	were	be	AUX
ijassa-604	170	7	solved	solve	VERB
ijassa-604	170	8	with	with	ADP
ijassa-604	170	9	matlab	matlab	PROPN
ijassa-604	170	10	using	use	VERB
ijassa-604	170	11	the	the	DET
ijassa-604	170	12	cvx	cvx	NOUN
ijassa-604	170	13	framework	framework	NOUN
ijassa-604	170	14	[	[	X
ijassa-604	170	15	5	5	NUM
ijassa-604	170	16	]	]	PUNCT
ijassa-604	170	17	for	for	ADP
ijassa-604	170	18	solving	solve	VERB
ijassa-604	170	19	convex	convex	NOUN
ijassa-604	170	20	optimization	optimization	NOUN
ijassa-604	170	21	problems	problem	NOUN
ijassa-604	170	22	and	and	CCONJ
ijassa-604	170	23	the	the	DET
ijassa-604	170	24	sdpt3	sdpt3	NOUN
ijassa-604	170	25	solver	solver	NOUN
ijassa-604	171	1	[	[	X
ijassa-604	171	2	19	19	NUM
ijassa-604	171	3	]	]	PUNCT
ijassa-604	171	4	.	.	PUNCT
ijassa-604	172	1	it	it	PRON
ijassa-604	172	2	was	be	AUX
ijassa-604	172	3	checked	check	VERB
ijassa-604	172	4	that	that	SCONJ
ijassa-604	172	5	using	use	VERB
ijassa-604	172	6	other	other	ADJ
ijassa-604	172	7	solvers	solver	NOUN
ijassa-604	172	8	such	such	ADJ
ijassa-604	172	9	as	as	ADP
ijassa-604	172	10	sedumi	sedumi	NOUN
ijassa-604	172	11	[	[	X
ijassa-604	172	12	18	18	NUM
ijassa-604	172	13	]	]	PUNCT
ijassa-604	172	14	did	do	AUX
ijassa-604	172	15	not	not	PART
ijassa-604	172	16	give	give	VERB
ijassa-604	172	17	any	any	DET
ijassa-604	172	18	specific	specific	ADJ
ijassa-604	172	19	benefits	benefit	NOUN
ijassa-604	172	20	or	or	CCONJ
ijassa-604	172	21	drawbacks	drawback	NOUN
ijassa-604	172	22	.	.	PUNCT
ijassa-604	173	1	the	the	DET
ijassa-604	173	2	main	main	ADJ
ijassa-604	173	3	goal	goal	NOUN
ijassa-604	173	4	of	of	ADP
ijassa-604	173	5	the	the	DET
ijassa-604	173	6	experiment	experiment	NOUN
ijassa-604	173	7	was	be	AUX
ijassa-604	173	8	to	to	PART
ijassa-604	173	9	compare	compare	VERB
ijassa-604	173	10	the	the	DET
ijassa-604	173	11	efficiency	efficiency	NOUN
ijassa-604	173	12	of	of	ADP
ijassa-604	173	13	approximations	approximation	NOUN
ijassa-604	173	14	(	(	PUNCT
ijassa-604	173	15	3.11	3.11	NUM
ijassa-604	173	16	)	)	PUNCT
ijassa-604	173	17	,	,	PUNCT
ijassa-604	173	18	(	(	PUNCT
ijassa-604	173	19	3.12	3.12	NUM
ijassa-604	173	20	)	)	PUNCT
ijassa-604	173	21	,	,	PUNCT
ijassa-604	173	22	(	(	PUNCT
ijassa-604	173	23	3.13	3.13	NUM
ijassa-604	173	24	)	)	PUNCT
ijassa-604	173	25	,	,	PUNCT
ijassa-604	173	26	(	(	PUNCT
ijassa-604	173	27	3.14	3.14	NUM
ijassa-604	173	28	)	)	PUNCT
ijassa-604	173	29	used	use	VERB
ijassa-604	173	30	for	for	ADP
ijassa-604	173	31	getting	get	VERB
ijassa-604	173	32	zero	zero	NUM
ijassa-604	173	33	rows	row	NOUN
ijassa-604	173	34	in	in	ADP
ijassa-604	173	35	the	the	DET
ijassa-604	173	36	matrix	matrix	NOUN
ijassa-604	173	37	y0	y0	NOUN
ijassa-604	173	38	at	at	ADP
ijassa-604	173	39	step	step	NOUN
ijassa-604	173	40	2	2	NUM
ijassa-604	173	41	of	of	ADP
ijassa-604	173	42	the	the	DET
ijassa-604	173	43	threestep	threestep	NOUN
ijassa-604	173	44	procedure	procedure	NOUN
ijassa-604	173	45	,	,	PUNCT
ijassa-604	173	46	which	which	PRON
ijassa-604	173	47	allows	allow	VERB
ijassa-604	173	48	to	to	PART
ijassa-604	173	49	design	design	VERB
ijassa-604	173	50	sparse	sparse	ADJ
ijassa-604	173	51	controllers	controller	NOUN
ijassa-604	173	52	in	in	ADP
ijassa-604	173	53	the	the	DET
ijassa-604	173	54	lqr	lqr	PROPN
ijassa-604	173	55	problem	problem	NOUN
ijassa-604	173	56	.	.	PUNCT
ijassa-604	174	1	during	during	ADP
ijassa-604	174	2	the	the	DET
ijassa-604	174	3	experiments	experiment	NOUN
ijassa-604	174	4	,	,	PUNCT
ijassa-604	174	5	both	both	DET
ijassa-604	174	6	models	model	NOUN
ijassa-604	174	7	of	of	ADP
ijassa-604	174	8	simple	simple	ADJ
ijassa-604	174	9	systems	system	NOUN
ijassa-604	174	10	and	and	CCONJ
ijassa-604	174	11	linearized	linearized	ADJ
ijassa-604	174	12	models	model	NOUN
ijassa-604	174	13	of	of	ADP
ijassa-604	174	14	real	real	ADJ
ijassa-604	174	15	systems	system	NOUN
ijassa-604	174	16	were	be	AUX
ijassa-604	174	17	considered	consider	VERB
ijassa-604	174	18	.	.	PUNCT
ijassa-604	175	1	the	the	DET
ijassa-604	175	2	latter	latter	ADJ
ijassa-604	175	3	were	be	AUX
ijassa-604	175	4	taken	take	VERB
ijassa-604	175	5	from	from	ADP
ijassa-604	175	6	the	the	DET
ijassa-604	175	7	compleib	compleib	NOUN
ijassa-604	175	8	,	,	PUNCT
ijassa-604	175	9	a	a	DET
ijassa-604	175	10	popular	popular	ADJ
ijassa-604	175	11	collection	collection	NOUN
ijassa-604	175	12	of	of	ADP
ijassa-604	175	13	test	test	NOUN
ijassa-604	175	14	problems	problem	NOUN
ijassa-604	175	15	from	from	ADP
ijassa-604	175	16	control	control	NOUN
ijassa-604	175	17	system	system	NOUN
ijassa-604	175	18	design	design	NOUN
ijassa-604	175	19	and	and	CCONJ
ijassa-604	175	20	related	related	ADJ
ijassa-604	175	21	fields	field	NOUN
ijassa-604	175	22	.	.	PUNCT
ijassa-604	176	1	the	the	DET
ijassa-604	176	2	general	general	ADJ
ijassa-604	176	3	scheme	scheme	NOUN
ijassa-604	176	4	of	of	ADP
ijassa-604	176	5	the	the	DET
ijassa-604	176	6	experiment	experiment	NOUN
ijassa-604	176	7	is	be	AUX
ijassa-604	176	8	as	as	SCONJ
ijassa-604	176	9	follows	follow	VERB
ijassa-604	176	10	:	:	PUNCT
ijassa-604	176	11	algorithm	algorithm	NOUN
ijassa-604	176	12	3	3	NUM
ijassa-604	176	13	(	(	PUNCT
ijassa-604	176	14	scheme	scheme	NOUN
ijassa-604	176	15	of	of	ADP
ijassa-604	176	16	experiment	experiment	NOUN
ijassa-604	176	17	):	):	PUNCT
ijassa-604	176	18	1	1	X
ijassa-604	176	19	.	.	PUNCT
ijassa-604	177	1	the	the	DET
ijassa-604	177	2	classical	classical	ADJ
ijassa-604	177	3	lqr	lqr	NOUN
ijassa-604	177	4	problem	problem	NOUN
ijassa-604	177	5	is	be	AUX
ijassa-604	177	6	solved	solve	VERB
ijassa-604	177	7	(	(	PUNCT
ijassa-604	177	8	problem	problem	NOUN
ijassa-604	177	9	1	1	NUM
ijassa-604	177	10	)	)	PUNCT
ijassa-604	177	11	and	and	CCONJ
ijassa-604	177	12	the	the	DET
ijassa-604	177	13	value	value	NOUN
ijassa-604	177	14	trp−1opt	trp−1opt	VERB
ijassa-604	177	15	is	be	AUX
ijassa-604	177	16	fixed	fix	VERB
ijassa-604	177	17	.	.	PUNCT
ijassa-604	178	1	this	this	DET
ijassa-604	178	2	value	value	NOUN
ijassa-604	178	3	corresponds	correspond	VERB
ijassa-604	178	4	to	to	ADP
ijassa-604	178	5	the	the	DET
ijassa-604	178	6	optimal	optimal	ADJ
ijassa-604	178	7	value	value	NOUN
ijassa-604	178	8	jopt	jopt	VERB
ijassa-604	178	9	of	of	ADP
ijassa-604	178	10	the	the	DET
ijassa-604	178	11	quadratic	quadratic	ADJ
ijassa-604	178	12	functional	functional	ADJ
ijassa-604	178	13	j	j	NOUN
ijassa-604	178	14	.	.	PUNCT
ijassa-604	179	1	2	2	X
ijassa-604	179	2	.	.	X
ijassa-604	179	3	the	the	DET
ijassa-604	179	4	initial	initial	ADJ
ijassa-604	179	5	value	value	NOUN
ijassa-604	179	6	of	of	ADP
ijassa-604	179	7	the	the	DET
ijassa-604	179	8	maximum	maximum	ADJ
ijassa-604	179	9	admissible	admissible	ADJ
ijassa-604	179	10	loss	loss	NOUN
ijassa-604	179	11	in	in	ADP
ijassa-604	179	12	the	the	DET
ijassa-604	179	13	quadratic	quadratic	ADJ
ijassa-604	179	14	performance	performance	NOUN
ijassa-604	179	15	index	index	NOUN
ijassa-604	179	16	is	be	AUX
ijassa-604	179	17	chosen	choose	VERB
ijassa-604	179	18	:	:	PUNCT
ijassa-604	179	19	αmin	αmin	PROPN
ijassa-604	179	20	=	=	SYM
ijassa-604	179	21	1	1	NUM
ijassa-604	179	22	+	+	CCONJ
ijassa-604	179	23	ε	ε	PROPN
ijassa-604	179	24	,	,	PUNCT
ijassa-604	179	25	ε	ε	PROPN
ijassa-604	179	26	>	>	X
ijassa-604	179	27	0	0	NUM
ijassa-604	179	28	.	.	PROPN
ijassa-604	180	1	3	3	X
ijassa-604	180	2	.	.	X
ijassa-604	181	1	the	the	DET
ijassa-604	181	2	magnitude	magnitude	NOUN
ijassa-604	181	3	of	of	ADP
ijassa-604	181	4	α	α	PROPN
ijassa-604	181	5	is	be	AUX
ijassa-604	181	6	increased	increase	VERB
ijassa-604	181	7	inside	inside	ADP
ijassa-604	181	8	the	the	DET
ijassa-604	181	9	loop	loop	NOUN
ijassa-604	181	10	until	until	SCONJ
ijassa-604	181	11	the	the	DET
ijassa-604	181	12	most	most	ADV
ijassa-604	181	13	sparse	sparse	ADJ
ijassa-604	181	14	control	control	NOUN
ijassa-604	181	15	can	can	AUX
ijassa-604	181	16	be	be	AUX
ijassa-604	181	17	acquired	acquire	VERB
ijassa-604	181	18	.	.	PUNCT
ijassa-604	182	1	for	for	ADP
ijassa-604	182	2	every	every	DET
ijassa-604	182	3	value	value	NOUN
ijassa-604	182	4	of	of	ADP
ijassa-604	182	5	α	α	PRON
ijassa-604	182	6	the	the	DET
ijassa-604	182	7	following	follow	VERB
ijassa-604	182	8	steps	step	NOUN
ijassa-604	182	9	are	be	AUX
ijassa-604	182	10	executed	execute	VERB
ijassa-604	182	11	:	:	PUNCT
ijassa-604	182	12	(	(	PUNCT
ijassa-604	182	13	a	a	X
ijassa-604	182	14	)	)	PUNCT
ijassa-604	182	15	the	the	DET
ijassa-604	182	16	detection	detection	NOUN
ijassa-604	182	17	of	of	ADP
ijassa-604	182	18	zero	zero	NUM
ijassa-604	182	19	rows	row	NOUN
ijassa-604	182	20	is	be	AUX
ijassa-604	182	21	performed	perform	VERB
ijassa-604	182	22	(	(	PUNCT
ijassa-604	182	23	problem	problem	NOUN
ijassa-604	182	24	2	2	NUM
ijassa-604	182	25	)	)	PUNCT
ijassa-604	182	26	for	for	ADP
ijassa-604	182	27	a	a	DET
ijassa-604	182	28	given	give	VERB
ijassa-604	182	29	α̂.	α̂.	NOUN
ijassa-604	182	30	the	the	DET
ijassa-604	182	31	zero	zero	NUM
ijassa-604	182	32	structure	structure	NOUN
ijassa-604	182	33	obtained	obtain	VERB
ijassa-604	182	34	from	from	ADP
ijassa-604	182	35	the	the	DET
ijassa-604	182	36	solution	solution	NOUN
ijassa-604	182	37	is	be	AUX
ijassa-604	182	38	fixed	fix	VERB
ijassa-604	182	39	;	;	PUNCT
ijassa-604	182	40	the	the	DET
ijassa-604	182	41	number	number	NOUN
ijassa-604	182	42	of	of	ADP
ijassa-604	182	43	zero	zero	NUM
ijassa-604	182	44	rows	row	NOUN
ijassa-604	182	45	denoted	denote	VERB
ijassa-604	182	46	by	by	ADP
ijassa-604	182	47	nnz	nnz	PROPN
ijassa-604	182	48	is	be	AUX
ijassa-604	182	49	memorized	memorize	VERB
ijassa-604	182	50	.	.	PUNCT
ijassa-604	183	1	(	(	PUNCT
ijassa-604	183	2	b	b	X
ijassa-604	183	3	)	)	PUNCT
ijassa-604	183	4	the	the	DET
ijassa-604	183	5	lqr	lqr	PROPN
ijassa-604	183	6	problem	problem	NOUN
ijassa-604	183	7	(	(	PUNCT
ijassa-604	183	8	problem	problem	NOUN
ijassa-604	183	9	1	1	NUM
ijassa-604	183	10	)	)	PUNCT
ijassa-604	183	11	is	be	AUX
ijassa-604	183	12	solved	solve	VERB
ijassa-604	183	13	with	with	ADP
ijassa-604	183	14	the	the	DET
ijassa-604	183	15	sparse	sparse	ADJ
ijassa-604	183	16	structure	structure	NOUN
ijassa-604	183	17	of	of	ADP
ijassa-604	183	18	the	the	DET
ijassa-604	183	19	controller	controller	NOUN
ijassa-604	183	20	being	be	AUX
ijassa-604	183	21	fixed	fix	VERB
ijassa-604	183	22	as	as	SCONJ
ijassa-604	183	23	found	find	VERB
ijassa-604	183	24	at	at	ADP
ijassa-604	183	25	the	the	DET
ijassa-604	183	26	previous	previous	ADJ
ijassa-604	183	27	step	step	NOUN
ijassa-604	183	28	.	.	PUNCT
ijassa-604	184	1	the	the	DET
ijassa-604	184	2	performance	performance	NOUN
ijassa-604	184	3	drop	drop	NOUN
ijassa-604	184	4	is	be	AUX
ijassa-604	184	5	determined	determine	VERB
ijassa-604	184	6	by	by	ADP
ijassa-604	184	7	the	the	DET
ijassa-604	184	8	relation	relation	NOUN
ijassa-604	184	9	αsp	αsp	NOUN
ijassa-604	184	10	=	=	PUNCT
ijassa-604	184	11	trp−1	trp−1	NOUN
ijassa-604	184	12	sp	sp	ADP
ijassa-604	184	13	trp−1	trp−1	NOUN
ijassa-604	184	14	opt	opt	VERB
ijassa-604	184	15	.	.	PUNCT
ijassa-604	185	1	hence	hence	ADV
ijassa-604	185	2	,	,	PUNCT
ijassa-604	185	3	every	every	DET
ijassa-604	185	4	iteration	iteration	NOUN
ijassa-604	185	5	of	of	ADP
ijassa-604	185	6	the	the	DET
ijassa-604	185	7	loop	loop	NOUN
ijassa-604	185	8	gives	give	VERB
ijassa-604	185	9	us	we	PRON
ijassa-604	185	10	two	two	NUM
ijassa-604	185	11	points	point	NOUN
ijassa-604	185	12	at	at	ADP
ijassa-604	185	13	the	the	DET
ijassa-604	185	14	plane	plane	NOUN
ijassa-604	185	15	with	with	ADP
ijassa-604	185	16	coordinates	coordinate	NOUN
ijassa-604	185	17	the	the	DET
ijassa-604	185	18	number	number	NOUN
ijassa-604	185	19	of	of	ADP
ijassa-604	185	20	nonzero	nonzero	PROPN
ijassa-604	185	21	rows	row	NOUN
ijassa-604	185	22	and	and	CCONJ
ijassa-604	185	23	the	the	DET
ijassa-604	185	24	performance	performance	NOUN
ijassa-604	185	25	drop	drop	NOUN
ijassa-604	185	26	.	.	PUNCT
ijassa-604	186	1	these	these	DET
ijassa-604	186	2	points	point	NOUN
ijassa-604	186	3	are	be	AUX
ijassa-604	186	4	(	(	PUNCT
ijassa-604	186	5	nnz	nnz	INTJ
ijassa-604	186	6	,	,	PUNCT
ijassa-604	186	7	α̂	α̂	NOUN
ijassa-604	186	8	)	)	PUNCT
ijassa-604	186	9	and	and	CCONJ
ijassa-604	186	10	(	(	PUNCT
ijassa-604	186	11	nnz	nnz	PROPN
ijassa-604	186	12	,	,	PUNCT
ijassa-604	186	13	αsp	αsp	PROPN
ijassa-604	186	14	)	)	PUNCT
ijassa-604	186	15	,	,	PUNCT
ijassa-604	186	16	where	where	SCONJ
ijassa-604	186	17	α̂	α̂	NUM
ijassa-604	186	18	is	be	AUX
ijassa-604	186	19	the	the	DET
ijassa-604	186	20	value	value	NOUN
ijassa-604	186	21	of	of	ADP
ijassa-604	186	22	the	the	DET
ijassa-604	186	23	maximum	maximum	ADJ
ijassa-604	186	24	admissible	admissible	ADJ
ijassa-604	186	25	loss	loss	NOUN
ijassa-604	186	26	which	which	PRON
ijassa-604	186	27	leads	lead	VERB
ijassa-604	186	28	to	to	ADP
ijassa-604	186	29	the	the	DET
ijassa-604	186	30	detection	detection	NOUN
ijassa-604	186	31	of	of	ADP
ijassa-604	186	32	zero	zero	NUM
ijassa-604	186	33	rows	row	NOUN
ijassa-604	186	34	,	,	PUNCT
ijassa-604	186	35	and	and	CCONJ
ijassa-604	186	36	αsp	αsp	NOUN
ijassa-604	186	37	is	be	AUX
ijassa-604	186	38	the	the	DET
ijassa-604	186	39	actual	actual	ADJ
ijassa-604	186	40	loss	loss	NOUN
ijassa-604	186	41	in	in	ADP
ijassa-604	186	42	performance	performance	NOUN
ijassa-604	186	43	,	,	PUNCT
ijassa-604	186	44	which	which	PRON
ijassa-604	186	45	corresponds	correspond	VERB
ijassa-604	186	46	to	to	ADP
ijassa-604	186	47	the	the	DET
ijassa-604	186	48	detected	detect	VERB
ijassa-604	186	49	sparse	sparse	ADJ
ijassa-604	186	50	structure	structure	NOUN
ijassa-604	186	51	of	of	ADP
ijassa-604	186	52	the	the	DET
ijassa-604	186	53	controller	controller	NOUN
ijassa-604	186	54	.	.	PUNCT
ijassa-604	187	1	it	it	PRON
ijassa-604	187	2	is	be	AUX
ijassa-604	187	3	worth	worth	ADJ
ijassa-604	187	4	noting	note	VERB
ijassa-604	187	5	that	that	SCONJ
ijassa-604	187	6	αsp	αsp	PROPN
ijassa-604	187	7	might	might	AUX
ijassa-604	187	8	be	be	AUX
ijassa-604	187	9	drastically	drastically	ADV
ijassa-604	187	10	less	less	ADJ
ijassa-604	187	11	than	than	ADP
ijassa-604	187	12	α̂.	α̂.	PROPN
ijassa-604	187	13	4	4	NUM
ijassa-604	187	14	.	.	PUNCT
ijassa-604	188	1	the	the	DET
ijassa-604	188	2	brute	brute	ADJ
ijassa-604	188	3	-	-	PUNCT
ijassa-604	188	4	force	force	NOUN
ijassa-604	188	5	enumeration	enumeration	NOUN
ijassa-604	188	6	of	of	ADP
ijassa-604	188	7	all	all	DET
ijassa-604	188	8	possible	possible	ADJ
ijassa-604	188	9	combinations	combination	NOUN
ijassa-604	188	10	of	of	ADP
ijassa-604	188	11	zero	zero	NUM
ijassa-604	188	12	rows	row	NOUN
ijassa-604	188	13	in	in	ADP
ijassa-604	188	14	the	the	DET
ijassa-604	188	15	gain	gain	NOUN
ijassa-604	188	16	matrix	matrix	NOUN
ijassa-604	188	17	is	be	AUX
ijassa-604	188	18	performed	perform	VERB
ijassa-604	188	19	and	and	CCONJ
ijassa-604	188	20	for	for	ADP
ijassa-604	188	21	every	every	DET
ijassa-604	188	22	combination	combination	NOUN
ijassa-604	188	23	and	and	CCONJ
ijassa-604	188	24	the	the	DET
ijassa-604	188	25	corresponding	corresponding	ADJ
ijassa-604	188	26	sparse	sparse	ADJ
ijassa-604	188	27	structure	structure	NOUN
ijassa-604	188	28	the	the	DET
ijassa-604	188	29	lqr	lqr	PROPN
ijassa-604	188	30	problem	problem	NOUN
ijassa-604	188	31	(	(	PUNCT
ijassa-604	188	32	problem	problem	NOUN
ijassa-604	188	33	1	1	NUM
ijassa-604	188	34	)	)	PUNCT
ijassa-604	188	35	is	be	AUX
ijassa-604	188	36	solved	solve	VERB
ijassa-604	188	37	.	.	PUNCT
ijassa-604	189	1	note	note	VERB
ijassa-604	189	2	that	that	SCONJ
ijassa-604	189	3	such	such	DET
ijassa-604	189	4	a	a	DET
ijassa-604	189	5	brute	brute	ADJ
ijassa-604	189	6	-	-	PUNCT
ijassa-604	189	7	force	force	NOUN
ijassa-604	189	8	search	search	NOUN
ijassa-604	189	9	is	be	AUX
ijassa-604	189	10	performed	perform	VERB
ijassa-604	189	11	exceptionally	exceptionally	ADV
ijassa-604	189	12	within	within	ADP
ijassa-604	189	13	the	the	DET
ijassa-604	189	14	experimental	experimental	ADJ
ijassa-604	189	15	setup	setup	NOUN
ijassa-604	189	16	for	for	ADP
ijassa-604	189	17	illustration	illustration	NOUN
ijassa-604	189	18	purposes	purpose	NOUN
ijassa-604	189	19	only	only	ADV
ijassa-604	189	20	;	;	PUNCT
ijassa-604	189	21	it	it	PRON
ijassa-604	189	22	is	be	AUX
ijassa-604	189	23	not	not	PART
ijassa-604	189	24	needed	need	VERB
ijassa-604	189	25	in	in	ADP
ijassa-604	189	26	the	the	DET
ijassa-604	189	27	respective	respective	ADJ
ijassa-604	189	28	theorems	theorem	NOUN
ijassa-604	189	29	.	.	PUNCT
ijassa-604	190	1	for	for	ADP
ijassa-604	190	2	the	the	DET
ijassa-604	190	3	combination	combination	NOUN
ijassa-604	190	4	with	with	ADP
ijassa-604	190	5	index	index	NOUN
ijassa-604	190	6	k	k	PROPN
ijassa-604	190	7	∈	∈	PROPN
ijassa-604	191	1	[	[	X
ijassa-604	191	2	1	1	NUM
ijassa-604	191	3	;	;	PUNCT
ijassa-604	191	4	2p	2p	NUM
ijassa-604	191	5	−	−	NOUN
ijassa-604	191	6	2	2	NUM
ijassa-604	191	7	]	]	PUNCT
ijassa-604	191	8	the	the	DET
ijassa-604	191	9	performance	performance	NOUN
ijassa-604	191	10	drop	drop	NOUN
ijassa-604	191	11	is	be	AUX
ijassa-604	191	12	determined	determine	VERB
ijassa-604	191	13	by	by	ADP
ijassa-604	191	14	the	the	DET
ijassa-604	191	15	relation	relation	NOUN
ijassa-604	191	16	αbf	αbf	NOUN
ijassa-604	191	17	,	,	PUNCT
ijassa-604	191	18	k	k	X
ijassa-604	191	19	=	=	PUNCT
ijassa-604	191	20	trp−1	trp−1	PROPN
ijassa-604	191	21	bf	bf	NOUN
ijassa-604	191	22	,	,	PUNCT
ijassa-604	191	23	k	k	PROPN
ijassa-604	191	24	trp−1	trp−1	PROPN
ijassa-604	191	25	opt	opt	VERB
ijassa-604	191	26	.	.	PUNCT
ijassa-604	192	1	note	note	VERB
ijassa-604	192	2	that	that	SCONJ
ijassa-604	192	3	we	we	PRON
ijassa-604	192	4	consider	consider	VERB
ijassa-604	192	5	2p	2p	NUM
ijassa-604	192	6	−	−	NOUN
ijassa-604	192	7	2	2	NUM
ijassa-604	192	8	combinations	combination	NOUN
ijassa-604	192	9	of	of	ADP
ijassa-604	192	10	zero	zero	NUM
ijassa-604	192	11	rows	row	NOUN
ijassa-604	192	12	instead	instead	ADV
ijassa-604	192	13	of	of	ADP
ijassa-604	192	14	2p	2p	NUM
ijassa-604	192	15	,	,	PUNCT
ijassa-604	192	16	since	since	SCONJ
ijassa-604	192	17	two	two	NUM
ijassa-604	192	18	cases	case	NOUN
ijassa-604	192	19	are	be	AUX
ijassa-604	192	20	excluded	exclude	VERB
ijassa-604	192	21	.	.	PUNCT
ijassa-604	193	1	the	the	DET
ijassa-604	193	2	first	first	ADJ
ijassa-604	193	3	one	one	NUM
ijassa-604	193	4	corresponds	correspond	NOUN
ijassa-604	193	5	to	to	ADP
ijassa-604	193	6	the	the	DET
ijassa-604	193	7	absence	absence	NOUN
ijassa-604	193	8	of	of	ADP
ijassa-604	193	9	zero	zero	NUM
ijassa-604	193	10	rows	row	NOUN
ijassa-604	193	11	,	,	PUNCT
ijassa-604	193	12	i.e.	i.e.	X
ijassa-604	193	13	,	,	PUNCT
ijassa-604	193	14	to	to	ADP
ijassa-604	193	15	the	the	DET
ijassa-604	193	16	classical	classical	ADJ
ijassa-604	193	17	formulation	formulation	NOUN
ijassa-604	193	18	without	without	ADP
ijassa-604	193	19	the	the	DET
ijassa-604	193	20	sparsity	sparsity	NOUN
ijassa-604	193	21	requirement	requirement	NOUN
ijassa-604	193	22	.	.	PUNCT
ijassa-604	194	1	the	the	DET
ijassa-604	194	2	second	second	ADJ
ijassa-604	194	3	obvious	obvious	ADJ
ijassa-604	194	4	case	case	NOUN
ijassa-604	194	5	corresponds	correspond	VERB
ijassa-604	194	6	to	to	ADP
ijassa-604	194	7	the	the	DET
ijassa-604	194	8	situation	situation	NOUN
ijassa-604	194	9	where	where	SCONJ
ijassa-604	194	10	all	all	DET
ijassa-604	194	11	rows	row	NOUN
ijassa-604	194	12	of	of	ADP
ijassa-604	194	13	the	the	DET
ijassa-604	194	14	gain	gain	NOUN
ijassa-604	194	15	matrix	matrix	NOUN
ijassa-604	194	16	are	be	AUX
ijassa-604	194	17	zero	zero	NUM
ijassa-604	194	18	rows	row	NOUN
ijassa-604	194	19	.	.	PUNCT
ijassa-604	195	1	the	the	DET
ijassa-604	195	2	points	point	NOUN
ijassa-604	195	3	(	(	PUNCT
ijassa-604	195	4	nnz	nnz	PROPN
ijassa-604	195	5	,	,	PUNCT
ijassa-604	195	6	αsp	αsp	NOUN
ijassa-604	195	7	)	)	PUNCT
ijassa-604	195	8	obtained	obtain	VERB
ijassa-604	195	9	as	as	ADP
ijassa-604	195	10	an	an	DET
ijassa-604	195	11	output	output	NOUN
ijassa-604	195	12	of	of	ADP
ijassa-604	195	13	the	the	DET
ijassa-604	195	14	algorithm	algorithm	NOUN
ijassa-604	195	15	3	3	NUM
ijassa-604	195	16	are	be	AUX
ijassa-604	195	17	related	relate	VERB
ijassa-604	195	18	to	to	ADP
ijassa-604	195	19	the	the	DET
ijassa-604	195	20	pareto	pareto	ADJ
ijassa-604	195	21	optimality	optimality	NOUN
ijassa-604	195	22	,	,	PUNCT
ijassa-604	195	23	a	a	DET
ijassa-604	195	24	well	well	ADV
ijassa-604	195	25	-	-	PUNCT
ijassa-604	195	26	known	know	VERB
ijassa-604	195	27	concept	concept	NOUN
ijassa-604	195	28	from	from	ADP
ijassa-604	195	29	the	the	DET
ijassa-604	195	30	theory	theory	NOUN
ijassa-604	195	31	of	of	ADP
ijassa-604	195	32	multiobjective	multiobjective	ADJ
ijassa-604	195	33	optimization	optimization	NOUN
ijassa-604	195	34	.	.	PUNCT
ijassa-604	196	1	namely	namely	ADV
ijassa-604	196	2	,	,	PUNCT
ijassa-604	196	3	a	a	DET
ijassa-604	196	4	copyright	copyright	NOUN
ijassa-604	196	5	c	c	ADP
ijassa-604	196	6	©	©	PROPN
ijassa-604	196	7	2018	2018	NUM
ijassa-604	196	8	assa	assa	NOUN
ijassa-604	196	9	.	.	PUNCT
ijassa-604	197	1	adv	adv	PROPN
ijassa-604	197	2	syst	syst	PROPN
ijassa-604	197	3	sci	sci	PROPN
ijassa-604	197	4	appl	appl	PROPN
ijassa-604	197	5	(	(	PUNCT
ijassa-604	197	6	2018	2018	NUM
ijassa-604	197	7	)	)	PUNCT
ijassa-604	197	8	surrogates	surrogate	NOUN
ijassa-604	197	9	for	for	ADP
ijassa-604	197	10	the	the	DET
ijassa-604	197	11	matrix	matrix	NOUN
ijassa-604	197	12	`	`	PUNCT
ijassa-604	197	13	0	0	NUM
ijassa-604	197	14	-	-	PUNCT
ijassa-604	197	15	quasinorm	quasinorm	NOUN
ijassa-604	197	16	19	19	NUM
ijassa-604	197	17	point	point	NOUN
ijassa-604	197	18	is	be	AUX
ijassa-604	197	19	said	say	VERB
ijassa-604	197	20	to	to	PART
ijassa-604	197	21	be	be	AUX
ijassa-604	197	22	pareto	pareto	VERB
ijassa-604	197	23	-	-	PUNCT
ijassa-604	197	24	optimal	optimal	ADJ
ijassa-604	197	25	if	if	SCONJ
ijassa-604	197	26	none	none	NOUN
ijassa-604	197	27	of	of	ADP
ijassa-604	197	28	the	the	DET
ijassa-604	197	29	criteria	criterion	NOUN
ijassa-604	197	30	can	can	AUX
ijassa-604	197	31	be	be	AUX
ijassa-604	197	32	improved	improve	VERB
ijassa-604	197	33	without	without	ADP
ijassa-604	197	34	worsening	worsen	VERB
ijassa-604	197	35	the	the	DET
ijassa-604	197	36	others	other	NOUN
ijassa-604	197	37	.	.	PUNCT
ijassa-604	198	1	also	also	ADV
ijassa-604	198	2	,	,	PUNCT
ijassa-604	198	3	note	note	VERB
ijassa-604	198	4	that	that	SCONJ
ijassa-604	198	5	the	the	DET
ijassa-604	198	6	values	value	NOUN
ijassa-604	198	7	of	of	ADP
ijassa-604	198	8	αsp	αsp	NOUN
ijassa-604	198	9	might	might	AUX
ijassa-604	198	10	not	not	PART
ijassa-604	198	11	be	be	AUX
ijassa-604	198	12	optimal	optimal	ADJ
ijassa-604	198	13	for	for	ADP
ijassa-604	198	14	a	a	DET
ijassa-604	198	15	given	give	VERB
ijassa-604	198	16	number	number	NOUN
ijassa-604	198	17	of	of	ADP
ijassa-604	198	18	nonzero	nonzero	PROPN
ijassa-604	198	19	rows	row	NOUN
ijassa-604	198	20	nnz	nnz	PROPN
ijassa-604	198	21	,	,	PUNCT
ijassa-604	198	22	since	since	SCONJ
ijassa-604	198	23	we	we	PRON
ijassa-604	198	24	solve	solve	VERB
ijassa-604	198	25	the	the	DET
ijassa-604	198	26	surrogate	surrogate	NOUN
ijassa-604	198	27	for	for	ADP
ijassa-604	198	28	the	the	DET
ijassa-604	198	29	original	original	ADJ
ijassa-604	198	30	nonconvex	nonconvex	NOUN
ijassa-604	198	31	problem	problem	NOUN
ijassa-604	198	32	and	and	CCONJ
ijassa-604	198	33	the	the	DET
ijassa-604	198	34	global	global	ADJ
ijassa-604	198	35	convergence	convergence	NOUN
ijassa-604	198	36	is	be	AUX
ijassa-604	198	37	not	not	PART
ijassa-604	198	38	guaranteed	guarantee	VERB
ijassa-604	198	39	.	.	PUNCT
ijassa-604	199	1	nevertheless	nevertheless	ADV
ijassa-604	199	2	,	,	PUNCT
ijassa-604	199	3	varying	vary	VERB
ijassa-604	199	4	the	the	DET
ijassa-604	199	5	importance	importance	NOUN
ijassa-604	199	6	of	of	ADP
ijassa-604	199	7	one	one	NUM
ijassa-604	199	8	or	or	CCONJ
ijassa-604	199	9	another	another	DET
ijassa-604	199	10	criterion	criterion	NOUN
ijassa-604	199	11	we	we	PRON
ijassa-604	199	12	can	can	AUX
ijassa-604	199	13	gain	gain	VERB
ijassa-604	199	14	a	a	DET
ijassa-604	199	15	necessary	necessary	ADJ
ijassa-604	199	16	trade	trade	NOUN
ijassa-604	199	17	-	-	PUNCT
ijassa-604	199	18	off	off	NOUN
ijassa-604	199	19	between	between	ADP
ijassa-604	199	20	optimality	optimality	NOUN
ijassa-604	199	21	and	and	CCONJ
ijassa-604	199	22	sparsity	sparsity	NOUN
ijassa-604	199	23	.	.	PUNCT
ijassa-604	200	1	4.1	4.1	NUM
ijassa-604	200	2	.	.	PUNCT
ijassa-604	200	3	examples	example	NOUN
ijassa-604	200	4	from	from	ADP
ijassa-604	200	5	compleib	compleib	NOUN
ijassa-604	200	6	the	the	DET
ijassa-604	200	7	experiment	experiment	NOUN
ijassa-604	200	8	was	be	AUX
ijassa-604	200	9	conducted	conduct	VERB
ijassa-604	200	10	in	in	ADP
ijassa-604	200	11	accordance	accordance	NOUN
ijassa-604	200	12	with	with	ADP
ijassa-604	200	13	the	the	DET
ijassa-604	200	14	described	describe	VERB
ijassa-604	200	15	scheme	scheme	NOUN
ijassa-604	200	16	for	for	ADP
ijassa-604	200	17	several	several	ADJ
ijassa-604	200	18	problems	problem	NOUN
ijassa-604	200	19	from	from	ADP
ijassa-604	200	20	the	the	DET
ijassa-604	200	21	compleib	compleib	NOUN
ijassa-604	200	22	collection	collection	NOUN
ijassa-604	200	23	:	:	PUNCT
ijassa-604	200	24	“	"	PUNCT
ijassa-604	200	25	ac1	ac1	PROPN
ijassa-604	200	26	”	"	PUNCT
ijassa-604	200	27	,	,	PUNCT
ijassa-604	200	28	“	"	PUNCT
ijassa-604	200	29	ac9	ac9	ADV
ijassa-604	200	30	”	"	PUNCT
ijassa-604	200	31	,	,	PUNCT
ijassa-604	200	32	“	"	PUNCT
ijassa-604	200	33	ac12	ac12	PROPN
ijassa-604	200	34	”	"	PUNCT
ijassa-604	200	35	,	,	PUNCT
ijassa-604	200	36	“	"	PUNCT
ijassa-604	200	37	he3	he3	PROPN
ijassa-604	200	38	”	"	PUNCT
ijassa-604	200	39	,	,	PUNCT
ijassa-604	200	40	“	"	PUNCT
ijassa-604	200	41	he4	he4	NOUN
ijassa-604	200	42	”	"	PUNCT
ijassa-604	200	43	(	(	PUNCT
ijassa-604	200	44	linearized	linearize	VERB
ijassa-604	200	45	models	model	NOUN
ijassa-604	200	46	of	of	ADP
ijassa-604	200	47	aircrafts	aircraft	NOUN
ijassa-604	200	48	and	and	CCONJ
ijassa-604	200	49	helicopters	helicopter	NOUN
ijassa-604	200	50	)	)	PUNCT
ijassa-604	200	51	.	.	PUNCT
ijassa-604	201	1	these	these	DET
ijassa-604	201	2	examples	example	NOUN
ijassa-604	201	3	are	be	AUX
ijassa-604	201	4	of	of	ADP
ijassa-604	201	5	interest	interest	NOUN
ijassa-604	201	6	in	in	ADP
ijassa-604	201	7	terms	term	NOUN
ijassa-604	201	8	of	of	ADP
ijassa-604	201	9	the	the	DET
ijassa-604	201	10	dimension	dimension	NOUN
ijassa-604	201	11	of	of	ADP
ijassa-604	201	12	the	the	DET
ijassa-604	201	13	control	control	NOUN
ijassa-604	201	14	input	input	NOUN
ijassa-604	201	15	.	.	PUNCT
ijassa-604	202	1	the	the	DET
ijassa-604	202	2	behaviour	behaviour	NOUN
ijassa-604	202	3	of	of	ADP
ijassa-604	202	4	various	various	ADJ
ijassa-604	202	5	approximations	approximation	NOUN
ijassa-604	202	6	to	to	ADP
ijassa-604	202	7	the	the	DET
ijassa-604	202	8	matrix	matrix	NOUN
ijassa-604	202	9	l0	l0	NOUN
ijassa-604	202	10	-	-	PUNCT
ijassa-604	202	11	quasinorm	quasinorm	NOUN
ijassa-604	202	12	for	for	ADP
ijassa-604	202	13	all	all	DET
ijassa-604	202	14	five	five	NUM
ijassa-604	202	15	models	model	NOUN
ijassa-604	202	16	is	be	AUX
ijassa-604	202	17	quite	quite	ADV
ijassa-604	202	18	similar	similar	ADJ
ijassa-604	202	19	,	,	PUNCT
ijassa-604	202	20	so	so	SCONJ
ijassa-604	202	21	it	it	PRON
ijassa-604	202	22	is	be	AUX
ijassa-604	202	23	reasonable	reasonable	ADJ
ijassa-604	202	24	to	to	PART
ijassa-604	202	25	present	present	VERB
ijassa-604	202	26	the	the	DET
ijassa-604	202	27	results	result	NOUN
ijassa-604	202	28	for	for	ADP
ijassa-604	202	29	just	just	ADV
ijassa-604	202	30	one	one	NUM
ijassa-604	202	31	example	example	NOUN
ijassa-604	202	32	–	–	PUNCT
ijassa-604	202	33	model	model	NOUN
ijassa-604	202	34	“	"	PUNCT
ijassa-604	202	35	he4	he4	NOUN
ijassa-604	202	36	”	"	PUNCT
ijassa-604	202	37	.	.	PUNCT
ijassa-604	203	1	this	this	DET
ijassa-604	203	2	eight	eight	NUM
ijassa-604	203	3	-	-	PUNCT
ijassa-604	203	4	order	order	NOUN
ijassa-604	203	5	model	model	NOUN
ijassa-604	203	6	represents	represent	VERB
ijassa-604	203	7	a	a	DET
ijassa-604	203	8	twin	twin	ADJ
ijassa-604	203	9	-	-	PUNCT
ijassa-604	203	10	engine	engine	NOUN
ijassa-604	203	11	,	,	PUNCT
ijassa-604	203	12	multi	multi	ADJ
ijassa-604	203	13	-	-	ADJ
ijassa-604	203	14	purpose	purpose	ADJ
ijassa-604	203	15	military	military	ADJ
ijassa-604	203	16	helicopter	helicopter	NOUN
ijassa-604	203	17	.	.	PUNCT
ijassa-604	204	1	let	let	VERB
ijassa-604	204	2	us	we	PRON
ijassa-604	204	3	recall	recall	VERB
ijassa-604	204	4	that	that	SCONJ
ijassa-604	204	5	the	the	DET
ijassa-604	204	6	behaviour	behaviour	NOUN
ijassa-604	204	7	of	of	ADP
ijassa-604	204	8	the	the	DET
ijassa-604	204	9	system	system	NOUN
ijassa-604	204	10	is	be	AUX
ijassa-604	204	11	described	describe	VERB
ijassa-604	204	12	by	by	ADP
ijassa-604	204	13	equations	equation	NOUN
ijassa-604	204	14	(	(	PUNCT
ijassa-604	204	15	2.1	2.1	NUM
ijassa-604	204	16	)	)	PUNCT
ijassa-604	204	17	.	.	PUNCT
ijassa-604	205	1	the	the	DET
ijassa-604	205	2	values	value	NOUN
ijassa-604	205	3	of	of	ADP
ijassa-604	205	4	the	the	DET
ijassa-604	205	5	entries	entry	NOUN
ijassa-604	205	6	of	of	ADP
ijassa-604	205	7	the	the	DET
ijassa-604	205	8	matrices	matrix	NOUN
ijassa-604	205	9	a	a	PRON
ijassa-604	205	10	and	and	CCONJ
ijassa-604	205	11	b	b	NOUN
ijassa-604	205	12	are	be	AUX
ijassa-604	205	13	not	not	PART
ijassa-604	205	14	presented	present	VERB
ijassa-604	205	15	for	for	ADP
ijassa-604	205	16	space	space	NOUN
ijassa-604	205	17	considerations	consideration	NOUN
ijassa-604	205	18	;	;	PUNCT
ijassa-604	205	19	they	they	PRON
ijassa-604	205	20	can	can	AUX
ijassa-604	205	21	be	be	AUX
ijassa-604	205	22	found	find	VERB
ijassa-604	205	23	in	in	ADP
ijassa-604	205	24	the	the	DET
ijassa-604	205	25	compleib	compleib	NOUN
ijassa-604	205	26	documentation	documentation	NOUN
ijassa-604	205	27	.	.	PUNCT
ijassa-604	206	1	the	the	DET
ijassa-604	206	2	weight	weight	NOUN
ijassa-604	206	3	matrices	matrix	NOUN
ijassa-604	206	4	r	r	NOUN
ijassa-604	206	5	and	and	CCONJ
ijassa-604	206	6	s	s	NOUN
ijassa-604	206	7	in	in	ADP
ijassa-604	206	8	the	the	DET
ijassa-604	206	9	quadratic	quadratic	ADJ
ijassa-604	206	10	functional	functional	ADJ
ijassa-604	206	11	(	(	PUNCT
ijassa-604	206	12	2.3	2.3	NUM
ijassa-604	206	13	)	)	PUNCT
ijassa-604	206	14	were	be	AUX
ijassa-604	206	15	set	set	VERB
ijassa-604	206	16	to	to	ADP
ijassa-604	206	17	identity	identity	NOUN
ijassa-604	206	18	.	.	PUNCT
ijassa-604	207	1	the	the	DET
ijassa-604	207	2	results	result	NOUN
ijassa-604	207	3	of	of	ADP
ijassa-604	207	4	the	the	DET
ijassa-604	207	5	experiment	experiment	NOUN
ijassa-604	207	6	conducted	conduct	VERB
ijassa-604	207	7	in	in	ADP
ijassa-604	207	8	accordance	accordance	NOUN
ijassa-604	207	9	with	with	ADP
ijassa-604	207	10	algorithm	algorithm	NOUN
ijassa-604	207	11	3	3	NUM
ijassa-604	207	12	are	be	AUX
ijassa-604	207	13	presented	present	VERB
ijassa-604	207	14	in	in	ADP
ijassa-604	207	15	figs	fig	NOUN
ijassa-604	207	16	.	.	PUNCT
ijassa-604	208	1	4.2	4.2	NUM
ijassa-604	208	2	,	,	PUNCT
ijassa-604	208	3	4.3	4.3	NUM
ijassa-604	208	4	,	,	PUNCT
ijassa-604	208	5	and	and	CCONJ
ijassa-604	208	6	4.4	4.4	NUM
ijassa-604	208	7	.	.	NOUN
ijassa-604	208	8	2	2	NUM
ijassa-604	208	9	3	3	NUM
ijassa-604	208	10	4	4	NUM
ijassa-604	208	11	the	the	DET
ijassa-604	208	12	number	number	NOUN
ijassa-604	208	13	of	of	ADP
ijassa-604	208	14	nonzero	nonzero	PROPN
ijassa-604	208	15	rows	row	VERB
ijassa-604	208	16	1	1	NUM
ijassa-604	208	17	1.002	1.002	NUM
ijassa-604	208	18	1.004	1.004	NUM
ijassa-604	208	19	1.006	1.006	NUM
ijassa-604	208	20	1.008	1.008	NUM
ijassa-604	208	21	1.01	1.01	NUM
ijassa-604	208	22	1.012	1.012	NUM
ijassa-604	208	23	1.014	1.014	NUM
ijassa-604	208	24	1.016	1.016	NUM
ijassa-604	208	25	1.018	1.018	NUM
ijassa-604	208	26	r	r	NOUN
ijassa-604	208	27	e	e	NOUN
ijassa-604	208	28	la	la	X
ijassa-604	208	29	x	x	SYM
ijassa-604	208	30	a	a	DET
ijassa-604	208	31	ti	ti	X
ijassa-604	208	32	o	o	NOUN
ijassa-604	208	33	n	n	NOUN
ijassa-604	208	34	c	c	NOUN
ijassa-604	208	35	o	o	X
ijassa-604	209	1	e	e	X
ijassa-604	210	1	ff	ff	INTJ
ijassa-604	210	2	ic	ic	PROPN
ijassa-604	210	3	ie	ie	PROPN
ijassa-604	210	4	n	n	PROPN
ijassa-604	210	5	t	t	PROPN
ijassa-604	210	6	α	α	PROPN
ijassa-604	210	7	results	result	NOUN
ijassa-604	210	8	for	for	ADP
ijassa-604	210	9	problem	problem	NOUN
ijassa-604	210	10	he4	he4	NOUN
ijassa-604	210	11	1∞-norm	1∞-norm	NOUN
ijassa-604	210	12	w1∞-norm	w1∞-norm	PROPN
ijassa-604	210	13	nsd	nsd	NOUN
ijassa-604	210	14	sum	sum	NOUN
ijassa-604	210	15	-	-	PUNCT
ijassa-604	210	16	log	log	NOUN
ijassa-604	210	17	fig	fig	NOUN
ijassa-604	210	18	.	.	PUNCT
ijassa-604	211	1	4.2	4.2	NUM
ijassa-604	211	2	.	.	PUNCT
ijassa-604	211	3	“	"	PUNCT
ijassa-604	211	4	he4	he4	NOUN
ijassa-604	211	5	”	"	PUNCT
ijassa-604	211	6	.	.	PUNCT
ijassa-604	212	1	the	the	DET
ijassa-604	212	2	detection	detection	NOUN
ijassa-604	212	3	of	of	ADP
ijassa-604	212	4	zero	zero	NUM
ijassa-604	212	5	rows	row	NOUN
ijassa-604	212	6	for	for	ADP
ijassa-604	212	7	various	various	ADJ
ijassa-604	212	8	α̂	α̂	NUM
ijassa-604	212	9	copyright	copyright	NOUN
ijassa-604	212	10	c	c	ADP
ijassa-604	212	11	©	©	PROPN
ijassa-604	212	12	2018	2018	NUM
ijassa-604	212	13	assa	assa	NOUN
ijassa-604	212	14	.	.	PUNCT
ijassa-604	213	1	adv	adv	PROPN
ijassa-604	213	2	syst	syst	PROPN
ijassa-604	213	3	sci	sci	PROPN
ijassa-604	213	4	appl	appl	PROPN
ijassa-604	213	5	(	(	PUNCT
ijassa-604	213	6	2018	2018	NUM
ijassa-604	213	7	)	)	PUNCT
ijassa-604	213	8	20	20	NUM
ijassa-604	213	9	a.	a.	NOUN
ijassa-604	213	10	bykov	bykov	NOUN
ijassa-604	213	11	,	,	PUNCT
ijassa-604	213	12	p.	p.	NOUN
ijassa-604	213	13	shcherbakov	shcherbakov	NOUN
ijassa-604	213	14	figure	figure	VERB
ijassa-604	213	15	4.2	4.2	NUM
ijassa-604	213	16	shows	show	VERB
ijassa-604	213	17	the	the	DET
ijassa-604	213	18	points	point	NOUN
ijassa-604	213	19	(	(	PUNCT
ijassa-604	213	20	nnz	nnz	PROPN
ijassa-604	213	21	,	,	PUNCT
ijassa-604	213	22	α̂	α̂	NOUN
ijassa-604	213	23	)	)	PUNCT
ijassa-604	213	24	obtained	obtain	VERB
ijassa-604	213	25	for	for	ADP
ijassa-604	213	26	the	the	DET
ijassa-604	213	27	functions	function	NOUN
ijassa-604	213	28	(	(	PUNCT
ijassa-604	213	29	3.11	3.11	NUM
ijassa-604	213	30	)	)	PUNCT
ijassa-604	213	31	,	,	PUNCT
ijassa-604	213	32	(	(	PUNCT
ijassa-604	213	33	3.12	3.12	NUM
ijassa-604	213	34	)	)	PUNCT
ijassa-604	213	35	,	,	PUNCT
ijassa-604	213	36	(	(	PUNCT
ijassa-604	213	37	3.13	3.13	NUM
ijassa-604	213	38	)	)	PUNCT
ijassa-604	213	39	,	,	PUNCT
ijassa-604	213	40	(	(	PUNCT
ijassa-604	213	41	3.14	3.14	NUM
ijassa-604	213	42	)	)	PUNCT
ijassa-604	213	43	in	in	ADP
ijassa-604	213	44	accordance	accordance	NOUN
ijassa-604	213	45	with	with	ADP
ijassa-604	213	46	algorithm	algorithm	NOUN
ijassa-604	213	47	3	3	NUM
ijassa-604	213	48	.	.	PUNCT
ijassa-604	214	1	this	this	DET
ijassa-604	214	2	plot	plot	NOUN
ijassa-604	214	3	demonstrates	demonstrate	VERB
ijassa-604	214	4	how	how	SCONJ
ijassa-604	214	5	big	big	ADJ
ijassa-604	214	6	one	one	PRON
ijassa-604	214	7	should	should	AUX
ijassa-604	214	8	set	set	VERB
ijassa-604	214	9	the	the	DET
ijassa-604	214	10	admissible	admissible	ADJ
ijassa-604	214	11	loss	loss	NOUN
ijassa-604	214	12	in	in	ADP
ijassa-604	214	13	performance	performance	NOUN
ijassa-604	214	14	in	in	ADP
ijassa-604	214	15	order	order	NOUN
ijassa-604	214	16	to	to	PART
ijassa-604	214	17	get	get	VERB
ijassa-604	214	18	zero	zero	NUM
ijassa-604	214	19	rows	row	NOUN
ijassa-604	214	20	in	in	ADP
ijassa-604	214	21	the	the	DET
ijassa-604	214	22	gain	gain	NOUN
ijassa-604	214	23	matrix	matrix	NOUN
ijassa-604	214	24	of	of	ADP
ijassa-604	214	25	the	the	DET
ijassa-604	214	26	controller	controller	NOUN
ijassa-604	214	27	.	.	PUNCT
ijassa-604	215	1	one	one	PRON
ijassa-604	215	2	can	can	AUX
ijassa-604	215	3	see	see	VERB
ijassa-604	215	4	that	that	SCONJ
ijassa-604	215	5	using	use	VERB
ijassa-604	215	6	approximations	approximation	NOUN
ijassa-604	215	7	(	(	PUNCT
ijassa-604	215	8	3.12	3.12	NUM
ijassa-604	215	9	)	)	PUNCT
ijassa-604	215	10	,	,	PUNCT
ijassa-604	215	11	(	(	PUNCT
ijassa-604	215	12	3.13	3.13	NUM
ijassa-604	215	13	)	)	PUNCT
ijassa-604	215	14	,	,	PUNCT
ijassa-604	215	15	(	(	PUNCT
ijassa-604	215	16	3.14	3.14	NUM
ijassa-604	215	17	)	)	PUNCT
ijassa-604	215	18	leads	lead	VERB
ijassa-604	215	19	to	to	ADP
ijassa-604	215	20	the	the	DET
ijassa-604	215	21	detection	detection	NOUN
ijassa-604	215	22	of	of	ADP
ijassa-604	215	23	sparse	sparse	ADJ
ijassa-604	215	24	structure	structure	NOUN
ijassa-604	215	25	for	for	ADP
ijassa-604	215	26	smaller	small	ADJ
ijassa-604	215	27	values	value	NOUN
ijassa-604	215	28	of	of	ADP
ijassa-604	215	29	α̂.	α̂.	NOUN
ijassa-604	215	30	it	it	PRON
ijassa-604	215	31	turned	turn	VERB
ijassa-604	215	32	out	out	ADP
ijassa-604	215	33	that	that	SCONJ
ijassa-604	215	34	for	for	ADP
ijassa-604	215	35	any	any	DET
ijassa-604	215	36	surrogate	surrogate	NOUN
ijassa-604	215	37	except	except	SCONJ
ijassa-604	215	38	for	for	ADP
ijassa-604	215	39	the	the	DET
ijassa-604	215	40	1∞-norm	1∞-norm	NOUN
ijassa-604	215	41	,	,	PUNCT
ijassa-604	215	42	in	in	ADP
ijassa-604	215	43	order	order	NOUN
ijassa-604	215	44	to	to	PART
ijassa-604	215	45	detect	detect	VERB
ijassa-604	215	46	two	two	NUM
ijassa-604	215	47	zero	zero	NUM
ijassa-604	215	48	rows	row	NOUN
ijassa-604	215	49	out	out	ADP
ijassa-604	215	50	of	of	ADP
ijassa-604	215	51	the	the	DET
ijassa-604	215	52	total	total	ADJ
ijassa-604	215	53	four	four	NUM
ijassa-604	215	54	,	,	PUNCT
ijassa-604	215	55	we	we	PRON
ijassa-604	215	56	needed	need	VERB
ijassa-604	215	57	to	to	PART
ijassa-604	215	58	set	set	VERB
ijassa-604	215	59	α̂	α̂	NOUN
ijassa-604	215	60	slightly	slightly	ADV
ijassa-604	215	61	less	less	ADJ
ijassa-604	215	62	than	than	ADP
ijassa-604	215	63	1.005	1.005	NUM
ijassa-604	215	64	,	,	PUNCT
ijassa-604	215	65	which	which	PRON
ijassa-604	215	66	corresponds	correspond	VERB
ijassa-604	215	67	to	to	ADP
ijassa-604	215	68	the	the	DET
ijassa-604	215	69	performance	performance	NOUN
ijassa-604	215	70	drop	drop	NOUN
ijassa-604	215	71	of	of	ADP
ijassa-604	215	72	just	just	ADV
ijassa-604	215	73	0.5	0.5	NUM
ijassa-604	215	74	%	%	NOUN
ijassa-604	215	75	.	.	PUNCT
ijassa-604	216	1	the	the	DET
ijassa-604	216	2	transition	transition	NOUN
ijassa-604	216	3	from	from	ADP
ijassa-604	216	4	one	one	NUM
ijassa-604	216	5	zero	zero	NUM
ijassa-604	216	6	row	row	NOUN
ijassa-604	216	7	to	to	ADP
ijassa-604	216	8	two	two	NUM
ijassa-604	216	9	zero	zero	NUM
ijassa-604	216	10	rows	row	NOUN
ijassa-604	216	11	happens	happen	VERB
ijassa-604	216	12	at	at	ADP
ijassa-604	216	13	close	close	ADJ
ijassa-604	216	14	values	value	NOUN
ijassa-604	216	15	of	of	ADP
ijassa-604	216	16	α̂	α̂	NOUN
ijassa-604	216	17	,	,	PUNCT
ijassa-604	216	18	therefore	therefore	ADV
ijassa-604	216	19	using	use	VERB
ijassa-604	216	20	an	an	DET
ijassa-604	216	21	insufficiently	insufficiently	ADV
ijassa-604	216	22	dense	dense	ADJ
ijassa-604	216	23	grid	grid	NOUN
ijassa-604	216	24	of	of	ADP
ijassa-604	216	25	α̂	α̂	NOUN
ijassa-604	216	26	values	value	NOUN
ijassa-604	216	27	can	can	AUX
ijassa-604	216	28	mislead	mislead	VERB
ijassa-604	216	29	into	into	ADP
ijassa-604	216	30	believing	believe	VERB
ijassa-604	216	31	that	that	SCONJ
ijassa-604	216	32	both	both	DET
ijassa-604	216	33	zero	zero	NUM
ijassa-604	216	34	rows	row	NOUN
ijassa-604	216	35	appear	appear	VERB
ijassa-604	216	36	simultaneously	simultaneously	ADV
ijassa-604	216	37	.	.	PUNCT
ijassa-604	217	1	such	such	ADJ
ijassa-604	217	2	simultaneous	simultaneous	ADJ
ijassa-604	217	3	appearances	appearance	NOUN
ijassa-604	217	4	of	of	ADP
ijassa-604	217	5	two	two	NUM
ijassa-604	217	6	zero	zero	NUM
ijassa-604	217	7	rows	row	NOUN
ijassa-604	217	8	were	be	AUX
ijassa-604	217	9	not	not	PART
ijassa-604	217	10	noticed	notice	VERB
ijassa-604	217	11	during	during	ADP
ijassa-604	217	12	the	the	DET
ijassa-604	217	13	experiment	experiment	NOUN
ijassa-604	217	14	,	,	PUNCT
ijassa-604	217	15	and	and	CCONJ
ijassa-604	217	16	they	they	PRON
ijassa-604	217	17	obviously	obviously	ADV
ijassa-604	217	18	should	should	AUX
ijassa-604	217	19	not	not	PART
ijassa-604	217	20	happen	happen	VERB
ijassa-604	217	21	due	due	ADP
ijassa-604	217	22	to	to	ADP
ijassa-604	217	23	the	the	DET
ijassa-604	217	24	following	follow	VERB
ijassa-604	217	25	reason	reason	NOUN
ijassa-604	217	26	.	.	PUNCT
ijassa-604	218	1	every	every	DET
ijassa-604	218	2	next	next	ADJ
ijassa-604	218	3	zero	zero	NUM
ijassa-604	218	4	row	row	NOUN
ijassa-604	218	5	of	of	ADP
ijassa-604	218	6	the	the	DET
ijassa-604	218	7	gain	gain	NOUN
ijassa-604	218	8	matrix	matrix	NOUN
ijassa-604	218	9	makes	make	VERB
ijassa-604	218	10	the	the	DET
ijassa-604	218	11	feasible	feasible	ADJ
ijassa-604	218	12	set	set	NOUN
ijassa-604	218	13	of	of	ADP
ijassa-604	218	14	controllers	controller	NOUN
ijassa-604	218	15	smaller	small	ADJ
ijassa-604	218	16	,	,	PUNCT
ijassa-604	218	17	so	so	CCONJ
ijassa-604	218	18	the	the	DET
ijassa-604	218	19	optimal	optimal	ADJ
ijassa-604	218	20	value	value	NOUN
ijassa-604	218	21	of	of	ADP
ijassa-604	218	22	the	the	DET
ijassa-604	218	23	quadratic	quadratic	ADJ
ijassa-604	218	24	functional	functional	NOUN
ijassa-604	218	25	for	for	ADP
ijassa-604	218	26	the	the	DET
ijassa-604	218	27	controller	controller	NOUN
ijassa-604	218	28	with	with	ADP
ijassa-604	218	29	n+	n+	ADP
ijassa-604	218	30	1	1	NUM
ijassa-604	218	31	zero	zero	NUM
ijassa-604	218	32	rows	row	NOUN
ijassa-604	218	33	is	be	AUX
ijassa-604	218	34	a	a	DET
ijassa-604	218	35	priori	priori	ADV
ijassa-604	218	36	worse	bad	ADJ
ijassa-604	218	37	than	than	ADP
ijassa-604	218	38	the	the	DET
ijassa-604	218	39	corresponding	corresponding	ADJ
ijassa-604	218	40	value	value	NOUN
ijassa-604	218	41	for	for	ADP
ijassa-604	218	42	the	the	DET
ijassa-604	218	43	controller	controller	NOUN
ijassa-604	218	44	with	with	ADP
ijassa-604	218	45	n	n	CCONJ
ijassa-604	218	46	zero	zero	NUM
ijassa-604	218	47	rows	row	NOUN
ijassa-604	218	48	.	.	PUNCT
ijassa-604	219	1	2	2	NUM
ijassa-604	219	2	3	3	NUM
ijassa-604	219	3	4	4	NUM
ijassa-604	219	4	the	the	DET
ijassa-604	219	5	number	number	NOUN
ijassa-604	219	6	of	of	ADP
ijassa-604	219	7	nonzero	nonzero	PROPN
ijassa-604	219	8	rows	row	VERB
ijassa-604	219	9	1	1	NUM
ijassa-604	219	10	1.002	1.002	NUM
ijassa-604	219	11	1.004	1.004	NUM
ijassa-604	219	12	1.006	1.006	NUM
ijassa-604	219	13	1.008	1.008	NUM
ijassa-604	219	14	1.01	1.01	NUM
ijassa-604	219	15	1.012	1.012	NUM
ijassa-604	219	16	1.014	1.014	NUM
ijassa-604	219	17	1.016	1.016	NUM
ijassa-604	219	18	1.018	1.018	NUM
ijassa-604	219	19	a	a	DET
ijassa-604	219	20	c	c	X
ijassa-604	219	21	tu	tu	PROPN
ijassa-604	219	22	a	a	DET
ijassa-604	219	23	l	l	NOUN
ijassa-604	219	24	lo	lo	PROPN
ijassa-604	219	25	s	s	NOUN
ijassa-604	219	26	s	s	NOUN
ijassa-604	219	27	results	result	NOUN
ijassa-604	219	28	for	for	ADP
ijassa-604	219	29	problem	problem	NOUN
ijassa-604	219	30	he4	he4	NOUN
ijassa-604	219	31	1∞-norm	1∞-norm	NOUN
ijassa-604	219	32	w1∞-norm	w1∞-norm	PROPN
ijassa-604	219	33	nsd	nsd	NOUN
ijassa-604	219	34	sum	sum	NOUN
ijassa-604	219	35	-	-	PUNCT
ijassa-604	219	36	log	log	NOUN
ijassa-604	219	37	fig	fig	NOUN
ijassa-604	219	38	.	.	PUNCT
ijassa-604	220	1	4.3	4.3	NUM
ijassa-604	220	2	.	.	PUNCT
ijassa-604	220	3	“	"	PUNCT
ijassa-604	220	4	he4	he4	NOUN
ijassa-604	220	5	”	"	PUNCT
ijassa-604	220	6	.	.	PUNCT
ijassa-604	221	1	the	the	DET
ijassa-604	221	2	actual	actual	ADJ
ijassa-604	221	3	loss	loss	NOUN
ijassa-604	221	4	in	in	ADP
ijassa-604	221	5	performance	performance	NOUN
ijassa-604	221	6	index	index	NOUN
ijassa-604	221	7	figure	figure	NOUN
ijassa-604	221	8	4.3	4.3	NUM
ijassa-604	221	9	shows	show	VERB
ijassa-604	221	10	the	the	DET
ijassa-604	221	11	points	point	NOUN
ijassa-604	221	12	(	(	PUNCT
ijassa-604	221	13	nnz	nnz	PROPN
ijassa-604	221	14	,	,	PUNCT
ijassa-604	221	15	αsp	αsp	PROPN
ijassa-604	221	16	)	)	PUNCT
ijassa-604	221	17	obtained	obtain	VERB
ijassa-604	221	18	from	from	ADP
ijassa-604	221	19	the	the	DET
ijassa-604	221	20	algorithm	algorithm	NOUN
ijassa-604	221	21	3	3	NUM
ijassa-604	221	22	,	,	PUNCT
ijassa-604	221	23	which	which	PRON
ijassa-604	221	24	correspond	correspond	VERB
ijassa-604	221	25	to	to	ADP
ijassa-604	221	26	the	the	DET
ijassa-604	221	27	actual	actual	ADJ
ijassa-604	221	28	sparse	sparse	ADJ
ijassa-604	221	29	-	-	PUNCT
ijassa-604	221	30	to	to	ADP
ijassa-604	221	31	-	-	PUNCT
ijassa-604	221	32	optimal	optimal	ADJ
ijassa-604	221	33	loss	loss	NOUN
ijassa-604	221	34	in	in	ADP
ijassa-604	221	35	performance	performance	NOUN
ijassa-604	221	36	.	.	PUNCT
ijassa-604	222	1	for	for	ADP
ijassa-604	222	2	the	the	DET
ijassa-604	222	3	1∞-norm	1∞-norm	NOUN
ijassa-604	222	4	we	we	PRON
ijassa-604	222	5	had	have	VERB
ijassa-604	222	6	α̂	α̂	NOUN
ijassa-604	222	7	�	�	PROPN
ijassa-604	222	8	αsp	αsp	NOUN
ijassa-604	222	9	,	,	PUNCT
ijassa-604	222	10	while	while	SCONJ
ijassa-604	222	11	using	use	VERB
ijassa-604	222	12	the	the	DET
ijassa-604	222	13	other	other	ADJ
ijassa-604	222	14	surrogates	surrogate	NOUN
ijassa-604	222	15	yields	yield	VERB
ijassa-604	222	16	a	a	DET
ijassa-604	222	17	sparse	sparse	ADJ
ijassa-604	222	18	structure	structure	NOUN
ijassa-604	222	19	for	for	ADP
ijassa-604	222	20	α̂	α̂	NOUN
ijassa-604	222	21	close	close	ADJ
ijassa-604	222	22	to	to	ADP
ijassa-604	222	23	αsp	αsp	NOUN
ijassa-604	222	24	,	,	PUNCT
ijassa-604	222	25	which	which	PRON
ijassa-604	222	26	is	be	AUX
ijassa-604	222	27	surely	surely	ADV
ijassa-604	222	28	an	an	DET
ijassa-604	222	29	advantage	advantage	NOUN
ijassa-604	222	30	of	of	ADP
ijassa-604	222	31	these	these	DET
ijassa-604	222	32	approximations	approximation	NOUN
ijassa-604	222	33	.	.	PUNCT
ijassa-604	223	1	indeed	indeed	ADV
ijassa-604	223	2	,	,	PUNCT
ijassa-604	223	3	if	if	SCONJ
ijassa-604	223	4	one	one	PRON
ijassa-604	223	5	had	have	VERB
ijassa-604	223	6	to	to	PART
ijassa-604	223	7	set	set	VERB
ijassa-604	223	8	α̂	α̂	NOUN
ijassa-604	223	9	�	�	PROPN
ijassa-604	223	10	αsp	αsp	PROPN
ijassa-604	223	11	in	in	ADP
ijassa-604	223	12	order	order	NOUN
ijassa-604	223	13	to	to	PART
ijassa-604	223	14	get	get	VERB
ijassa-604	223	15	a	a	DET
ijassa-604	223	16	sparse	sparse	ADJ
ijassa-604	223	17	control	control	NOUN
ijassa-604	223	18	,	,	PUNCT
ijassa-604	223	19	the	the	DET
ijassa-604	223	20	interpretation	interpretation	NOUN
ijassa-604	223	21	of	of	ADP
ijassa-604	223	22	α̂	α̂	PROPN
ijassa-604	223	23	as	as	ADP
ijassa-604	223	24	a	a	DET
ijassa-604	223	25	maximum	maximum	ADJ
ijassa-604	223	26	admissible	admissible	ADJ
ijassa-604	223	27	performance	performance	NOUN
ijassa-604	223	28	loss	loss	NOUN
ijassa-604	223	29	would	would	AUX
ijassa-604	223	30	be	be	AUX
ijassa-604	223	31	incorrect	incorrect	ADJ
ijassa-604	223	32	.	.	PUNCT
ijassa-604	224	1	for	for	ADP
ijassa-604	224	2	instance	instance	NOUN
ijassa-604	224	3	,	,	PUNCT
ijassa-604	224	4	using	use	VERB
ijassa-604	224	5	the	the	DET
ijassa-604	224	6	1∞-norm	1∞-norm	NOUN
ijassa-604	224	7	in	in	ADP
ijassa-604	224	8	example	example	NOUN
ijassa-604	224	9	“	"	PUNCT
ijassa-604	224	10	he4	he4	NOUN
ijassa-604	224	11	”	"	PUNCT
ijassa-604	224	12	,	,	PUNCT
ijassa-604	224	13	in	in	ADP
ijassa-604	224	14	order	order	NOUN
ijassa-604	224	15	to	to	PART
ijassa-604	224	16	detect	detect	VERB
ijassa-604	224	17	sparse	sparse	ADJ
ijassa-604	224	18	control	control	NOUN
ijassa-604	224	19	which	which	PRON
ijassa-604	224	20	yields	yield	VERB
ijassa-604	224	21	0.5	0.5	NUM
ijassa-604	224	22	%	%	NOUN
ijassa-604	224	23	of	of	ADP
ijassa-604	224	24	the	the	DET
ijassa-604	224	25	actual	actual	ADJ
ijassa-604	224	26	performance	performance	NOUN
ijassa-604	224	27	drop	drop	NOUN
ijassa-604	224	28	,	,	PUNCT
ijassa-604	224	29	we	we	PRON
ijassa-604	224	30	had	have	VERB
ijassa-604	224	31	to	to	PART
ijassa-604	224	32	allow	allow	VERB
ijassa-604	224	33	for	for	ADP
ijassa-604	224	34	a	a	DET
ijassa-604	224	35	maximum	maximum	ADJ
ijassa-604	224	36	admissible	admissible	ADJ
ijassa-604	224	37	performance	performance	NOUN
ijassa-604	224	38	loss	loss	NOUN
ijassa-604	224	39	of	of	ADP
ijassa-604	224	40	15−	15−	NUM
ijassa-604	224	41	20	20	NUM
ijassa-604	224	42	%	%	NOUN
ijassa-604	224	43	during	during	ADP
ijassa-604	224	44	the	the	DET
ijassa-604	224	45	detection	detection	NOUN
ijassa-604	224	46	step	step	NOUN
ijassa-604	224	47	.	.	PUNCT
ijassa-604	225	1	moreover	moreover	ADV
ijassa-604	225	2	,	,	PUNCT
ijassa-604	225	3	using	use	VERB
ijassa-604	225	4	the	the	DET
ijassa-604	225	5	copyright	copyright	NOUN
ijassa-604	225	6	c	c	ADP
ijassa-604	225	7	©	©	PROPN
ijassa-604	225	8	2018	2018	NUM
ijassa-604	225	9	assa	assa	NOUN
ijassa-604	225	10	.	.	PUNCT
ijassa-604	226	1	adv	adv	PROPN
ijassa-604	226	2	syst	syst	PROPN
ijassa-604	226	3	sci	sci	PROPN
ijassa-604	226	4	appl	appl	PROPN
ijassa-604	226	5	(	(	PUNCT
ijassa-604	226	6	2018	2018	NUM
ijassa-604	226	7	)	)	PUNCT
ijassa-604	226	8	surrogates	surrogate	NOUN
ijassa-604	226	9	for	for	ADP
ijassa-604	226	10	the	the	DET
ijassa-604	226	11	matrix	matrix	NOUN
ijassa-604	226	12	`	`	PUNCT
ijassa-604	226	13	0	0	NUM
ijassa-604	226	14	-	-	PUNCT
ijassa-604	226	15	quasinorm	quasinorm	NOUN
ijassa-604	226	16	21	21	NUM
ijassa-604	226	17	1∞-norm	1∞-norm	NOUN
ijassa-604	226	18	in	in	ADP
ijassa-604	226	19	some	some	DET
ijassa-604	226	20	examples	example	NOUN
ijassa-604	226	21	can	can	AUX
ijassa-604	226	22	lead	lead	VERB
ijassa-604	226	23	to	to	ADP
ijassa-604	226	24	a	a	DET
ijassa-604	226	25	large	large	ADJ
ijassa-604	226	26	difference	difference	NOUN
ijassa-604	226	27	between	between	ADP
ijassa-604	226	28	α̂	α̂	NOUN
ijassa-604	226	29	and	and	CCONJ
ijassa-604	226	30	αsp	αsp	NOUN
ijassa-604	226	31	.	.	PUNCT
ijassa-604	227	1	using	use	VERB
ijassa-604	227	2	other	other	ADJ
ijassa-604	227	3	approximations	approximation	NOUN
ijassa-604	227	4	usually	usually	ADV
ijassa-604	227	5	allows	allow	VERB
ijassa-604	227	6	to	to	PART
ijassa-604	227	7	detect	detect	VERB
ijassa-604	227	8	a	a	DET
ijassa-604	227	9	sparse	sparse	ADJ
ijassa-604	227	10	structure	structure	NOUN
ijassa-604	227	11	for	for	ADP
ijassa-604	227	12	the	the	DET
ijassa-604	227	13	values	value	NOUN
ijassa-604	227	14	α̂	α̂	NUM
ijassa-604	227	15	which	which	PRON
ijassa-604	227	16	are	be	AUX
ijassa-604	227	17	close	close	ADJ
ijassa-604	227	18	to	to	ADP
ijassa-604	227	19	the	the	DET
ijassa-604	227	20	corresponding	corresponding	ADJ
ijassa-604	227	21	values	value	NOUN
ijassa-604	227	22	of	of	ADP
ijassa-604	227	23	αsp	αsp	NOUN
ijassa-604	227	24	;	;	PUNCT
ijassa-604	227	25	i.e.	i.e.	X
ijassa-604	227	26	,	,	PUNCT
ijassa-604	227	27	α̂	α̂	NUM
ijassa-604	227	28	is	be	AUX
ijassa-604	227	29	a	a	DET
ijassa-604	227	30	more	more	ADV
ijassa-604	227	31	accurate	accurate	ADJ
ijassa-604	227	32	estimate	estimate	NOUN
ijassa-604	227	33	of	of	ADP
ijassa-604	227	34	αsp	αsp	NOUN
ijassa-604	227	35	.	.	NOUN
ijassa-604	228	1	2	2	NUM
ijassa-604	228	2	3	3	NUM
ijassa-604	228	3	4	4	NUM
ijassa-604	228	4	the	the	DET
ijassa-604	228	5	number	number	NOUN
ijassa-604	228	6	of	of	ADP
ijassa-604	228	7	nonzero	nonzero	PROPN
ijassa-604	228	8	rows	row	VERB
ijassa-604	228	9	10	10	NUM
ijassa-604	228	10	0	0	NUM
ijassa-604	228	11	10	10	NUM
ijassa-604	228	12	1	1	NUM
ijassa-604	228	13	10	10	NUM
ijassa-604	228	14	2	2	NUM
ijassa-604	228	15	a	a	PRON
ijassa-604	228	16	c	c	X
ijassa-604	228	17	tu	tu	PROPN
ijassa-604	228	18	a	a	DET
ijassa-604	228	19	l	l	NOUN
ijassa-604	229	1	lo	lo	PROPN
ijassa-604	229	2	s	s	NOUN
ijassa-604	229	3	s	s	NOUN
ijassa-604	229	4	results	result	NOUN
ijassa-604	229	5	for	for	ADP
ijassa-604	229	6	problem	problem	NOUN
ijassa-604	229	7	he4	he4	NOUN
ijassa-604	229	8	1∞-norm	1∞-norm	NOUN
ijassa-604	229	9	w1∞-norm	w1∞-norm	PROPN
ijassa-604	229	10	nsd	nsd	NOUN
ijassa-604	229	11	sum	sum	NOUN
ijassa-604	229	12	-	-	PUNCT
ijassa-604	229	13	log	log	NOUN
ijassa-604	229	14	fig	fig	NOUN
ijassa-604	229	15	.	.	PUNCT
ijassa-604	230	1	4.4	4.4	NUM
ijassa-604	230	2	.	.	PUNCT
ijassa-604	231	1	“	"	PUNCT
ijassa-604	231	2	he4	he4	NOUN
ijassa-604	231	3	”	"	PUNCT
ijassa-604	231	4	.	.	PUNCT
ijassa-604	232	1	the	the	DET
ijassa-604	232	2	actual	actual	ADJ
ijassa-604	232	3	loss	loss	NOUN
ijassa-604	232	4	in	in	ADP
ijassa-604	232	5	performance	performance	NOUN
ijassa-604	232	6	index	index	NOUN
ijassa-604	232	7	.	.	PUNCT
ijassa-604	233	1	all	all	DET
ijassa-604	233	2	possible	possible	ADJ
ijassa-604	233	3	combinations	combination	NOUN
ijassa-604	233	4	of	of	ADP
ijassa-604	233	5	zero	zero	NUM
ijassa-604	233	6	rows	row	NOUN
ijassa-604	233	7	figure	figure	VERB
ijassa-604	233	8	4.3	4.3	NUM
ijassa-604	233	9	depicts	depict	NOUN
ijassa-604	233	10	the	the	DET
ijassa-604	233	11	points	point	NOUN
ijassa-604	233	12	marked	mark	VERB
ijassa-604	233	13	as	as	ADP
ijassa-604	233	14	black	black	ADJ
ijassa-604	233	15	crosses	crosse	NOUN
ijassa-604	233	16	which	which	PRON
ijassa-604	233	17	were	be	AUX
ijassa-604	233	18	obtained	obtain	VERB
ijassa-604	233	19	at	at	ADP
ijassa-604	233	20	step	step	NOUN
ijassa-604	233	21	4	4	NUM
ijassa-604	233	22	of	of	ADP
ijassa-604	233	23	the	the	DET
ijassa-604	233	24	algorithm	algorithm	NOUN
ijassa-604	233	25	3	3	NUM
ijassa-604	233	26	during	during	ADP
ijassa-604	233	27	the	the	DET
ijassa-604	233	28	brute	brute	ADJ
ijassa-604	233	29	-	-	PUNCT
ijassa-604	233	30	force	force	NOUN
ijassa-604	233	31	enumeration	enumeration	NOUN
ijassa-604	233	32	.	.	PUNCT
ijassa-604	234	1	it	it	PRON
ijassa-604	234	2	turned	turn	VERB
ijassa-604	234	3	out	out	ADP
ijassa-604	234	4	that	that	SCONJ
ijassa-604	234	5	for	for	ADP
ijassa-604	234	6	our	our	PRON
ijassa-604	234	7	example	example	NOUN
ijassa-604	234	8	the	the	DET
ijassa-604	234	9	threestep	threestep	NOUN
ijassa-604	234	10	procedure	procedure	NOUN
ijassa-604	234	11	yielded	yield	VERB
ijassa-604	234	12	the	the	DET
ijassa-604	234	13	optimal	optimal	ADJ
ijassa-604	234	14	sparse	sparse	ADJ
ijassa-604	234	15	structures	structure	NOUN
ijassa-604	234	16	for	for	ADP
ijassa-604	234	17	every	every	DET
ijassa-604	234	18	number	number	NOUN
ijassa-604	234	19	of	of	ADP
ijassa-604	234	20	zero	zero	NUM
ijassa-604	234	21	rows	row	NOUN
ijassa-604	234	22	.	.	PUNCT
ijassa-604	235	1	figure	figure	NOUN
ijassa-604	235	2	4.3	4.3	NUM
ijassa-604	235	3	is	be	AUX
ijassa-604	235	4	just	just	ADV
ijassa-604	235	5	a	a	DET
ijassa-604	235	6	part	part	NOUN
ijassa-604	235	7	of	of	ADP
ijassa-604	235	8	the	the	DET
ijassa-604	235	9	whole	whole	ADJ
ijassa-604	235	10	picture	picture	NOUN
ijassa-604	235	11	presented	present	VERB
ijassa-604	235	12	in	in	ADP
ijassa-604	235	13	fig	fig	NOUN
ijassa-604	235	14	.	.	PUNCT
ijassa-604	236	1	4.4	4.4	NUM
ijassa-604	236	2	,	,	PUNCT
ijassa-604	236	3	where	where	SCONJ
ijassa-604	236	4	all	all	DET
ijassa-604	236	5	possible	possible	ADJ
ijassa-604	236	6	combinations	combination	NOUN
ijassa-604	236	7	of	of	ADP
ijassa-604	236	8	zero	zero	NUM
ijassa-604	236	9	rows	row	NOUN
ijassa-604	236	10	of	of	ADP
ijassa-604	236	11	the	the	DET
ijassa-604	236	12	gain	gain	NOUN
ijassa-604	236	13	matrix	matrix	NOUN
ijassa-604	236	14	can	can	AUX
ijassa-604	236	15	be	be	AUX
ijassa-604	236	16	seen	see	VERB
ijassa-604	236	17	.	.	PUNCT
ijassa-604	237	1	as	as	SCONJ
ijassa-604	237	2	we	we	PRON
ijassa-604	237	3	can	can	AUX
ijassa-604	237	4	see	see	VERB
ijassa-604	237	5	,	,	PUNCT
ijassa-604	237	6	a	a	DET
ijassa-604	237	7	poor	poor	ADJ
ijassa-604	237	8	choice	choice	NOUN
ijassa-604	237	9	of	of	ADP
ijassa-604	237	10	the	the	DET
ijassa-604	237	11	sparse	sparse	ADJ
ijassa-604	237	12	structure	structure	NOUN
ijassa-604	237	13	can	can	AUX
ijassa-604	237	14	lead	lead	VERB
ijassa-604	237	15	to	to	ADP
ijassa-604	237	16	a	a	DET
ijassa-604	237	17	dramatic	dramatic	ADJ
ijassa-604	237	18	loss	loss	NOUN
ijassa-604	237	19	in	in	ADP
ijassa-604	237	20	the	the	DET
ijassa-604	237	21	performance	performance	NOUN
ijassa-604	237	22	index	index	NOUN
ijassa-604	237	23	.	.	PUNCT
ijassa-604	238	1	it	it	PRON
ijassa-604	238	2	is	be	AUX
ijassa-604	238	3	important	important	ADJ
ijassa-604	238	4	to	to	PART
ijassa-604	238	5	understand	understand	VERB
ijassa-604	238	6	that	that	SCONJ
ijassa-604	238	7	the	the	DET
ijassa-604	238	8	occurrence	occurrence	NOUN
ijassa-604	238	9	of	of	ADP
ijassa-604	238	10	large	large	ADJ
ijassa-604	238	11	values	value	NOUN
ijassa-604	238	12	of	of	ADP
ijassa-604	238	13	performance	performance	NOUN
ijassa-604	238	14	drop	drop	NOUN
ijassa-604	238	15	in	in	ADP
ijassa-604	238	16	fig	fig	NOUN
ijassa-604	238	17	.	.	PUNCT
ijassa-604	239	1	4.4	4.4	NUM
ijassa-604	239	2	is	be	AUX
ijassa-604	239	3	explained	explain	VERB
ijassa-604	239	4	by	by	ADP
ijassa-604	239	5	the	the	DET
ijassa-604	239	6	specific	specific	ADJ
ijassa-604	239	7	properties	property	NOUN
ijassa-604	239	8	of	of	ADP
ijassa-604	239	9	the	the	DET
ijassa-604	239	10	system	system	NOUN
ijassa-604	239	11	itself	itself	PRON
ijassa-604	239	12	rather	rather	ADV
ijassa-604	239	13	than	than	ADP
ijassa-604	239	14	by	by	ADP
ijassa-604	239	15	sparsity	sparsity	NOUN
ijassa-604	239	16	detection	detection	NOUN
ijassa-604	239	17	methods	method	NOUN
ijassa-604	239	18	;	;	PUNCT
ijassa-604	239	19	some	some	DET
ijassa-604	239	20	systems	system	NOUN
ijassa-604	239	21	just	just	ADV
ijassa-604	239	22	do	do	AUX
ijassa-604	239	23	not	not	PART
ijassa-604	239	24	tolerate	tolerate	VERB
ijassa-604	239	25	zeroing	zero	VERB
ijassa-604	239	26	out	out	ADP
ijassa-604	239	27	specific	specific	ADJ
ijassa-604	239	28	control	control	NOUN
ijassa-604	239	29	inputs	input	NOUN
ijassa-604	239	30	.	.	PUNCT
ijassa-604	240	1	this	this	DET
ijassa-604	240	2	fact	fact	NOUN
ijassa-604	240	3	also	also	ADV
ijassa-604	240	4	leads	lead	VERB
ijassa-604	240	5	to	to	ADP
ijassa-604	240	6	an	an	DET
ijassa-604	240	7	interesting	interesting	ADJ
ijassa-604	240	8	“	"	PUNCT
ijassa-604	240	9	sideeffect	sideeffect	NOUN
ijassa-604	240	10	”	"	PUNCT
ijassa-604	240	11	which	which	PRON
ijassa-604	240	12	consists	consist	VERB
ijassa-604	240	13	in	in	ADP
ijassa-604	240	14	the	the	DET
ijassa-604	240	15	ability	ability	NOUN
ijassa-604	240	16	to	to	PART
ijassa-604	240	17	filter	filter	VERB
ijassa-604	240	18	out	out	ADP
ijassa-604	240	19	sparse	sparse	ADJ
ijassa-604	240	20	controllers	controller	NOUN
ijassa-604	240	21	with	with	ADP
ijassa-604	240	22	“	"	PUNCT
ijassa-604	240	23	poor	poor	ADJ
ijassa-604	240	24	”	"	PUNCT
ijassa-604	240	25	structure	structure	NOUN
ijassa-604	240	26	a	a	DET
ijassa-604	240	27	priori	priori	ADV
ijassa-604	240	28	by	by	ADP
ijassa-604	240	29	choosing	choose	VERB
ijassa-604	240	30	appropriate	appropriate	ADJ
ijassa-604	240	31	values	value	NOUN
ijassa-604	240	32	for	for	ADP
ijassa-604	240	33	α̂.	α̂.	PROPN
ijassa-604	240	34	similar	similar	ADJ
ijassa-604	240	35	results	result	NOUN
ijassa-604	240	36	were	be	AUX
ijassa-604	240	37	obtained	obtain	VERB
ijassa-604	240	38	for	for	ADP
ijassa-604	240	39	other	other	ADJ
ijassa-604	240	40	examples	example	NOUN
ijassa-604	240	41	from	from	ADP
ijassa-604	240	42	compleib	compleib	NOUN
ijassa-604	240	43	such	such	ADJ
ijassa-604	240	44	as	as	ADP
ijassa-604	240	45	“	"	PUNCT
ijassa-604	240	46	ac1	ac1	PROPN
ijassa-604	240	47	”	"	PUNCT
ijassa-604	240	48	,	,	PUNCT
ijassa-604	240	49	“	"	PUNCT
ijassa-604	240	50	ac9	ac9	ADV
ijassa-604	240	51	”	"	PUNCT
ijassa-604	240	52	,	,	PUNCT
ijassa-604	240	53	“	"	PUNCT
ijassa-604	240	54	ac12	ac12	PROPN
ijassa-604	240	55	”	"	PUNCT
ijassa-604	240	56	,	,	PUNCT
ijassa-604	240	57	“	"	PUNCT
ijassa-604	240	58	he3	he3	PROPN
ijassa-604	240	59	”	"	PUNCT
ijassa-604	240	60	.	.	PUNCT
ijassa-604	241	1	therefore	therefore	ADV
ijassa-604	241	2	,	,	PUNCT
ijassa-604	241	3	all	all	DET
ijassa-604	241	4	the	the	DET
ijassa-604	241	5	observations	observation	NOUN
ijassa-604	241	6	and	and	CCONJ
ijassa-604	241	7	conclusions	conclusion	NOUN
ijassa-604	241	8	made	make	VERB
ijassa-604	241	9	for	for	ADP
ijassa-604	241	10	model	model	NOUN
ijassa-604	241	11	“	"	PUNCT
ijassa-604	241	12	he4	he4	NOUN
ijassa-604	241	13	”	"	PUNCT
ijassa-604	241	14	are	be	AUX
ijassa-604	241	15	also	also	ADV
ijassa-604	241	16	valid	valid	ADJ
ijassa-604	241	17	for	for	ADP
ijassa-604	241	18	all	all	DET
ijassa-604	241	19	listed	list	VERB
ijassa-604	241	20	examples	example	NOUN
ijassa-604	241	21	.	.	PUNCT
ijassa-604	242	1	4.2	4.2	NUM
ijassa-604	242	2	.	.	PUNCT
ijassa-604	242	3	mass	mass	ADJ
ijassa-604	242	4	spring	spring	NOUN
ijassa-604	242	5	system	system	NOUN
ijassa-604	242	6	consider	consider	VERB
ijassa-604	242	7	the	the	DET
ijassa-604	242	8	system	system	NOUN
ijassa-604	242	9	which	which	PRON
ijassa-604	242	10	consists	consist	VERB
ijassa-604	242	11	of	of	ADP
ijassa-604	242	12	n	n	PRON
ijassa-604	242	13	masses	masse	NOUN
ijassa-604	242	14	mis	mi	NOUN
ijassa-604	242	15	connected	connect	VERB
ijassa-604	242	16	via	via	ADP
ijassa-604	242	17	springs	spring	NOUN
ijassa-604	242	18	with	with	ADP
ijassa-604	242	19	stiffness	stiffness	ADJ
ijassa-604	242	20	coefficients	coefficient	NOUN
ijassa-604	242	21	kis	kis	PROPN
ijassa-604	242	22	;	;	PUNCT
ijassa-604	242	23	the	the	DET
ijassa-604	242	24	masses	masse	NOUN
ijassa-604	242	25	can	can	AUX
ijassa-604	242	26	slide	slide	VERB
ijassa-604	242	27	frictionless	frictionless	NOUN
ijassa-604	242	28	along	along	ADP
ijassa-604	242	29	the	the	DET
ijassa-604	242	30	line	line	NOUN
ijassa-604	242	31	(	(	PUNCT
ijassa-604	242	32	see	see	VERB
ijassa-604	242	33	fig	fig	NOUN
ijassa-604	242	34	.	.	PUNCT
ijassa-604	242	35	4.5	4.5	NUM
ijassa-604	242	36	)	)	PUNCT
ijassa-604	242	37	.	.	PUNCT
ijassa-604	243	1	let	let	VERB
ijassa-604	243	2	us	we	PRON
ijassa-604	243	3	denote	denote	VERB
ijassa-604	243	4	copyright	copyright	NOUN
ijassa-604	243	5	c	c	ADP
ijassa-604	243	6	©	©	PROPN
ijassa-604	243	7	2018	2018	NUM
ijassa-604	243	8	assa	assa	NOUN
ijassa-604	243	9	.	.	PUNCT
ijassa-604	244	1	adv	adv	PROPN
ijassa-604	244	2	syst	syst	PROPN
ijassa-604	244	3	sci	sci	PROPN
ijassa-604	244	4	appl	appl	PROPN
ijassa-604	244	5	(	(	PUNCT
ijassa-604	244	6	2018	2018	NUM
ijassa-604	244	7	)	)	PUNCT
ijassa-604	244	8	22	22	NUM
ijassa-604	244	9	a.	a.	NOUN
ijassa-604	244	10	bykov	bykov	NOUN
ijassa-604	244	11	,	,	PUNCT
ijassa-604	244	12	p.	p.	NOUN
ijassa-604	244	13	shcherbakov	shcherbakov	NOUN
ijassa-604	244	14	the	the	DET
ijassa-604	244	15	displacement	displacement	NOUN
ijassa-604	244	16	of	of	ADP
ijassa-604	244	17	the	the	DET
ijassa-604	244	18	ith	ith	PROPN
ijassa-604	244	19	mass	mass	NOUN
ijassa-604	244	20	from	from	ADP
ijassa-604	244	21	its	its	PRON
ijassa-604	244	22	reference	reference	NOUN
ijassa-604	244	23	position	position	NOUN
ijassa-604	244	24	as	as	ADP
ijassa-604	244	25	pi	pi	NOUN
ijassa-604	244	26	and	and	CCONJ
ijassa-604	244	27	let	let	VERB
ijassa-604	244	28	the	the	DET
ijassa-604	244	29	state	state	NOUN
ijassa-604	244	30	variables	variable	NOUN
ijassa-604	244	31	be	be	VERB
ijassa-604	244	32	x1	x1	PROPN
ijassa-604	244	33	=	=	PUNCT
ijassa-604	245	1	[	[	X
ijassa-604	245	2	p1	p1	NOUN
ijassa-604	245	3	.	.	PUNCT
ijassa-604	245	4	.	.	PUNCT
ijassa-604	245	5	.	.	PUNCT
ijassa-604	246	1	pn	pn	NOUN
ijassa-604	246	2	]	]	PUNCT
ijassa-604	246	3	>	>	X
ijassa-604	247	1	and	and	CCONJ
ijassa-604	247	2	x2	x2	PROPN
ijassa-604	247	3	=	=	SYM
ijassa-604	247	4	ẋ1	ẋ1	PROPN
ijassa-604	247	5	.	.	PUNCT
ijassa-604	247	6	fig	fig	NOUN
ijassa-604	247	7	.	.	PUNCT
ijassa-604	248	1	4.5	4.5	NUM
ijassa-604	248	2	.	.	PUNCT
ijassa-604	248	3	model	model	NOUN
ijassa-604	248	4	“	"	PUNCT
ijassa-604	248	5	mass	mass	ADJ
ijassa-604	248	6	spring	spring	NOUN
ijassa-604	248	7	system	system	NOUN
ijassa-604	248	8	”	"	PUNCT
ijassa-604	248	9	similarly	similarly	ADV
ijassa-604	248	10	to	to	ADP
ijassa-604	248	11	the	the	DET
ijassa-604	248	12	previous	previous	ADJ
ijassa-604	248	13	section	section	NOUN
ijassa-604	248	14	,	,	PUNCT
ijassa-604	248	15	the	the	DET
ijassa-604	248	16	behaviour	behaviour	NOUN
ijassa-604	248	17	of	of	ADP
ijassa-604	248	18	the	the	DET
ijassa-604	248	19	system	system	NOUN
ijassa-604	248	20	is	be	AUX
ijassa-604	248	21	described	describe	VERB
ijassa-604	248	22	by	by	ADP
ijassa-604	248	23	the	the	DET
ijassa-604	248	24	equation	equation	NOUN
ijassa-604	248	25	(	(	PUNCT
ijassa-604	248	26	2.1	2.1	NUM
ijassa-604	248	27	)	)	PUNCT
ijassa-604	248	28	.	.	PUNCT
ijassa-604	249	1	in	in	ADP
ijassa-604	249	2	this	this	DET
ijassa-604	249	3	example	example	NOUN
ijassa-604	249	4	we	we	PRON
ijassa-604	249	5	used	use	VERB
ijassa-604	249	6	identity	identity	NOUN
ijassa-604	249	7	weight	weight	NOUN
ijassa-604	249	8	matrices	matrix	NOUN
ijassa-604	249	9	r	r	NOUN
ijassa-604	249	10	and	and	CCONJ
ijassa-604	249	11	s	s	NOUN
ijassa-604	249	12	in	in	ADP
ijassa-604	249	13	the	the	DET
ijassa-604	249	14	quadratic	quadratic	ADJ
ijassa-604	249	15	functional	functional	ADJ
ijassa-604	249	16	(	(	PUNCT
ijassa-604	249	17	2.3	2.3	NUM
ijassa-604	249	18	)	)	PUNCT
ijassa-604	249	19	.	.	PUNCT
ijassa-604	250	1	2	2	NUM
ijassa-604	250	2	3	3	NUM
ijassa-604	250	3	4	4	NUM
ijassa-604	250	4	5	5	NUM
ijassa-604	250	5	6	6	NUM
ijassa-604	250	6	7	7	NUM
ijassa-604	250	7	8	8	NUM
ijassa-604	250	8	9	9	NUM
ijassa-604	250	9	10	10	NUM
ijassa-604	250	10	the	the	DET
ijassa-604	250	11	number	number	NOUN
ijassa-604	250	12	of	of	ADP
ijassa-604	250	13	nonzero	nonzero	PROPN
ijassa-604	250	14	rows	row	VERB
ijassa-604	250	15	1	1	NUM
ijassa-604	250	16	1.5	1.5	NUM
ijassa-604	250	17	2	2	NUM
ijassa-604	250	18	2.5	2.5	NUM
ijassa-604	250	19	3	3	NUM
ijassa-604	250	20	3.5	3.5	NUM
ijassa-604	250	21	4	4	NUM
ijassa-604	250	22	r	r	NOUN
ijassa-604	250	23	e	e	NOUN
ijassa-604	250	24	la	la	X
ijassa-604	250	25	x	x	SYM
ijassa-604	250	26	a	a	DET
ijassa-604	250	27	ti	ti	X
ijassa-604	250	28	o	o	NOUN
ijassa-604	250	29	n	n	NOUN
ijassa-604	250	30	c	c	NOUN
ijassa-604	250	31	o	o	X
ijassa-604	251	1	e	e	X
ijassa-604	252	1	ff	ff	INTJ
ijassa-604	252	2	ic	ic	PROPN
ijassa-604	252	3	ie	ie	PROPN
ijassa-604	252	4	n	n	PROPN
ijassa-604	252	5	t	t	PROPN
ijassa-604	252	6	α	α	PROPN
ijassa-604	252	7	results	result	NOUN
ijassa-604	252	8	for	for	ADP
ijassa-604	252	9	problem	problem	NOUN
ijassa-604	252	10	ms1	ms1	PROPN
ijassa-604	252	11	10	10	NUM
ijassa-604	252	12	1∞-norm	1∞-norm	NOUN
ijassa-604	252	13	w1∞-norm	w1∞-norm	PROPN
ijassa-604	252	14	nsd	nsd	NOUN
ijassa-604	252	15	sum	sum	NOUN
ijassa-604	252	16	-	-	PUNCT
ijassa-604	252	17	log	log	NOUN
ijassa-604	252	18	fig	fig	NOUN
ijassa-604	252	19	.	.	PUNCT
ijassa-604	253	1	4.6	4.6	NUM
ijassa-604	253	2	.	.	PUNCT
ijassa-604	254	1	“	"	PUNCT
ijassa-604	254	2	ms	ms	PROPN
ijassa-604	254	3	”	"	PUNCT
ijassa-604	254	4	.	.	PUNCT
ijassa-604	255	1	the	the	DET
ijassa-604	255	2	detection	detection	NOUN
ijassa-604	255	3	of	of	ADP
ijassa-604	255	4	zero	zero	NUM
ijassa-604	255	5	rows	row	NOUN
ijassa-604	255	6	for	for	ADP
ijassa-604	255	7	various	various	ADJ
ijassa-604	255	8	α̂	α̂	NOUN
ijassa-604	255	9	for	for	ADP
ijassa-604	255	10	the	the	DET
ijassa-604	255	11	sake	sake	NOUN
ijassa-604	255	12	of	of	ADP
ijassa-604	255	13	simplicity	simplicity	NOUN
ijassa-604	255	14	we	we	PRON
ijassa-604	255	15	considered	consider	VERB
ijassa-604	255	16	the	the	DET
ijassa-604	255	17	system	system	NOUN
ijassa-604	255	18	with	with	ADP
ijassa-604	255	19	the	the	DET
ijassa-604	255	20	following	follow	VERB
ijassa-604	255	21	parameters	parameter	NOUN
ijassa-604	255	22	:	:	PUNCT
ijassa-604	255	23	m1	m1	PROPN
ijassa-604	255	24	=	=	SYM
ijassa-604	255	25	·	·	PUNCT
ijassa-604	255	26	·	·	PUNCT
ijassa-604	255	27	·	·	PUNCT
ijassa-604	256	1	=	=	SYM
ijassa-604	256	2	mn	mn	PROPN
ijassa-604	256	3	=	=	SYM
ijassa-604	256	4	1	1	NUM
ijassa-604	256	5	,	,	PUNCT
ijassa-604	256	6	k1	k1	NOUN
ijassa-604	256	7	=	=	SYM
ijassa-604	256	8	·	·	PUNCT
ijassa-604	256	9	·	·	PUNCT
ijassa-604	256	10	·	·	PUNCT
ijassa-604	257	1	=	=	SYM
ijassa-604	257	2	kn	kn	NOUN
ijassa-604	257	3	=	=	SYM
ijassa-604	257	4	1	1	NUM
ijassa-604	257	5	,	,	PUNCT
ijassa-604	257	6	copyright	copyright	NOUN
ijassa-604	257	7	c	c	ADP
ijassa-604	257	8	©	©	PROPN
ijassa-604	257	9	2018	2018	NUM
ijassa-604	257	10	assa	assa	NOUN
ijassa-604	257	11	.	.	PUNCT
ijassa-604	258	1	adv	adv	PROPN
ijassa-604	258	2	syst	syst	PROPN
ijassa-604	258	3	sci	sci	PROPN
ijassa-604	258	4	appl	appl	PROPN
ijassa-604	258	5	(	(	PUNCT
ijassa-604	258	6	2018	2018	NUM
ijassa-604	258	7	)	)	PUNCT
ijassa-604	258	8	surrogates	surrogate	NOUN
ijassa-604	258	9	for	for	ADP
ijassa-604	258	10	the	the	DET
ijassa-604	258	11	matrix	matrix	NOUN
ijassa-604	258	12	`	`	PUNCT
ijassa-604	258	13	0	0	NUM
ijassa-604	258	14	-	-	PUNCT
ijassa-604	258	15	quasinorm	quasinorm	NOUN
ijassa-604	258	16	23	23	NUM
ijassa-604	258	17	so	so	SCONJ
ijassa-604	258	18	that	that	SCONJ
ijassa-604	258	19	the	the	DET
ijassa-604	258	20	matrices	matrix	NOUN
ijassa-604	258	21	of	of	ADP
ijassa-604	258	22	system	system	NOUN
ijassa-604	258	23	(	(	PUNCT
ijassa-604	258	24	2.1	2.1	NUM
ijassa-604	258	25	)	)	PUNCT
ijassa-604	258	26	has	have	VERB
ijassa-604	258	27	the	the	DET
ijassa-604	258	28	form	form	NOUN
ijassa-604	258	29	a	a	PRON
ijassa-604	258	30	=	=	X
ijassa-604	259	1	[	[	PUNCT
ijassa-604	259	2	o	o	X
ijassa-604	259	3	i	i	PRON
ijassa-604	259	4	t	t	X
ijassa-604	259	5	o	o	X
ijassa-604	259	6	]	]	X
ijassa-604	260	1	,	,	PUNCT
ijassa-604	260	2	b	b	X
ijassa-604	260	3	=	=	PUNCT
ijassa-604	261	1	[	[	PUNCT
ijassa-604	261	2	o	o	X
ijassa-604	261	3	i	i	X
ijassa-604	261	4	]	]	PUNCT
ijassa-604	261	5	,	,	PUNCT
ijassa-604	261	6	where	where	SCONJ
ijassa-604	261	7	t	t	PROPN
ijassa-604	261	8	∈	∈	PROPN
ijassa-604	261	9	rn×n	rn×n	PROPN
ijassa-604	261	10	is	be	AUX
ijassa-604	261	11	a	a	DET
ijassa-604	261	12	tridiagonal	tridiagonal	ADJ
ijassa-604	261	13	toeplitz	toeplitz	NOUN
ijassa-604	261	14	matrix	matrix	NOUN
ijassa-604	261	15	with	with	ADP
ijassa-604	261	16	−2	−2	NOUN
ijassa-604	261	17	on	on	ADP
ijassa-604	261	18	its	its	PRON
ijassa-604	261	19	main	main	ADJ
ijassa-604	261	20	diagonal	diagonal	NOUN
ijassa-604	261	21	and	and	CCONJ
ijassa-604	261	22	1	1	NUM
ijassa-604	261	23	on	on	ADP
ijassa-604	261	24	its	its	PRON
ijassa-604	261	25	first	first	ADJ
ijassa-604	261	26	superand	superand	NOUN
ijassa-604	261	27	sub	sub	ADJ
ijassa-604	261	28	-	-	ADJ
ijassa-604	261	29	diagonal	diagonal	ADJ
ijassa-604	261	30	,	,	PUNCT
ijassa-604	261	31	i	i	PRON
ijassa-604	261	32	∈	∈	NOUN
ijassa-604	261	33	rn×n	rn×n	PROPN
ijassa-604	261	34	is	be	AUX
ijassa-604	261	35	the	the	DET
ijassa-604	261	36	identity	identity	NOUN
ijassa-604	261	37	matrix	matrix	NOUN
ijassa-604	261	38	,	,	PUNCT
ijassa-604	261	39	and	and	CCONJ
ijassa-604	261	40	o	o	PROPN
ijassa-604	261	41	∈	∈	PROPN
ijassa-604	261	42	rn×n	rn×n	PROPN
ijassa-604	261	43	is	be	AUX
ijassa-604	261	44	the	the	DET
ijassa-604	261	45	zero	zero	NUM
ijassa-604	261	46	matrix	matrix	NOUN
ijassa-604	261	47	.	.	PUNCT
ijassa-604	262	1	this	this	DET
ijassa-604	262	2	model	model	NOUN
ijassa-604	262	3	is	be	AUX
ijassa-604	262	4	useful	useful	ADJ
ijassa-604	262	5	,	,	PUNCT
ijassa-604	262	6	since	since	SCONJ
ijassa-604	262	7	it	it	PRON
ijassa-604	262	8	allows	allow	VERB
ijassa-604	262	9	to	to	PART
ijassa-604	262	10	choose	choose	VERB
ijassa-604	262	11	arbitrary	arbitrary	ADJ
ijassa-604	262	12	values	value	NOUN
ijassa-604	262	13	for	for	ADP
ijassa-604	262	14	the	the	DET
ijassa-604	262	15	number	number	NOUN
ijassa-604	262	16	of	of	ADP
ijassa-604	262	17	masses	masse	NOUN
ijassa-604	262	18	n	n	CCONJ
ijassa-604	262	19	,	,	PUNCT
ijassa-604	262	20	i.e.	i.e.	X
ijassa-604	262	21	,	,	PUNCT
ijassa-604	262	22	to	to	PART
ijassa-604	262	23	vary	vary	VERB
ijassa-604	262	24	the	the	DET
ijassa-604	262	25	dimension	dimension	NOUN
ijassa-604	262	26	of	of	ADP
ijassa-604	262	27	the	the	DET
ijassa-604	262	28	problem	problem	NOUN
ijassa-604	262	29	.	.	PUNCT
ijassa-604	263	1	the	the	DET
ijassa-604	263	2	experiment	experiment	NOUN
ijassa-604	263	3	was	be	AUX
ijassa-604	263	4	conducted	conduct	VERB
ijassa-604	263	5	for	for	ADP
ijassa-604	263	6	several	several	ADJ
ijassa-604	263	7	values	value	NOUN
ijassa-604	263	8	of	of	ADP
ijassa-604	263	9	n	n	NOUN
ijassa-604	263	10	,	,	PUNCT
ijassa-604	263	11	the	the	DET
ijassa-604	263	12	observed	observe	VERB
ijassa-604	263	13	results	result	NOUN
ijassa-604	263	14	being	be	AUX
ijassa-604	263	15	quite	quite	ADV
ijassa-604	263	16	similar	similar	ADJ
ijassa-604	263	17	.	.	PUNCT
ijassa-604	264	1	we	we	PRON
ijassa-604	264	2	present	present	VERB
ijassa-604	264	3	the	the	DET
ijassa-604	264	4	results	result	NOUN
ijassa-604	264	5	for	for	ADP
ijassa-604	264	6	n	n	NOUN
ijassa-604	264	7	=	=	SYM
ijassa-604	264	8	10	10	NUM
ijassa-604	264	9	,	,	PUNCT
ijassa-604	264	10	since	since	SCONJ
ijassa-604	264	11	even	even	ADV
ijassa-604	264	12	for	for	ADP
ijassa-604	264	13	n	n	NOUN
ijassa-604	264	14	=	=	NUM
ijassa-604	264	15	10	10	NUM
ijassa-604	264	16	the	the	DET
ijassa-604	264	17	number	number	NOUN
ijassa-604	264	18	of	of	ADP
ijassa-604	264	19	all	all	DET
ijassa-604	264	20	possible	possible	ADJ
ijassa-604	264	21	combinations	combination	NOUN
ijassa-604	264	22	of	of	ADP
ijassa-604	264	23	zero	zero	NUM
ijassa-604	264	24	rows	row	NOUN
ijassa-604	264	25	is	be	AUX
ijassa-604	264	26	equal	equal	ADJ
ijassa-604	264	27	to	to	ADP
ijassa-604	264	28	210	210	NUM
ijassa-604	264	29	−	−	NOUN
ijassa-604	264	30	2	2	NUM
ijassa-604	265	1	=	=	SYM
ijassa-604	265	2	1022	1022	NUM
ijassa-604	265	3	,	,	PUNCT
ijassa-604	265	4	thus	thus	ADV
ijassa-604	265	5	,	,	PUNCT
ijassa-604	265	6	the	the	DET
ijassa-604	265	7	brute	brute	ADJ
ijassa-604	265	8	-	-	PUNCT
ijassa-604	265	9	force	force	NOUN
ijassa-604	265	10	approach	approach	NOUN
ijassa-604	265	11	is	be	AUX
ijassa-604	265	12	still	still	ADV
ijassa-604	265	13	possible	possible	ADJ
ijassa-604	265	14	yet	yet	ADV
ijassa-604	265	15	challenging	challenging	ADJ
ijassa-604	265	16	.	.	PUNCT
ijassa-604	266	1	2	2	NUM
ijassa-604	266	2	3	3	NUM
ijassa-604	266	3	4	4	NUM
ijassa-604	266	4	5	5	NUM
ijassa-604	266	5	6	6	NUM
ijassa-604	266	6	7	7	NUM
ijassa-604	266	7	8	8	NUM
ijassa-604	266	8	9	9	NUM
ijassa-604	266	9	10	10	NUM
ijassa-604	266	10	the	the	DET
ijassa-604	266	11	number	number	NOUN
ijassa-604	266	12	of	of	ADP
ijassa-604	266	13	nonzero	nonzero	PROPN
ijassa-604	266	14	rows	row	VERB
ijassa-604	266	15	1	1	NUM
ijassa-604	266	16	1.5	1.5	NUM
ijassa-604	266	17	2	2	NUM
ijassa-604	266	18	2.5	2.5	NUM
ijassa-604	266	19	3	3	NUM
ijassa-604	266	20	3.5	3.5	NUM
ijassa-604	266	21	4	4	NUM
ijassa-604	266	22	a	a	PRON
ijassa-604	266	23	c	c	NOUN
ijassa-604	266	24	tu	tu	PROPN
ijassa-604	266	25	a	a	DET
ijassa-604	266	26	l	l	NOUN
ijassa-604	266	27	lo	lo	PROPN
ijassa-604	266	28	s	s	NOUN
ijassa-604	266	29	s	s	NOUN
ijassa-604	266	30	results	result	NOUN
ijassa-604	266	31	for	for	ADP
ijassa-604	266	32	problem	problem	NOUN
ijassa-604	266	33	ms1	ms1	PROPN
ijassa-604	266	34	10	10	NUM
ijassa-604	266	35	1∞-norm	1∞-norm	NOUN
ijassa-604	266	36	w1∞-norm	w1∞-norm	PROPN
ijassa-604	266	37	nsd	nsd	NOUN
ijassa-604	266	38	sum	sum	NOUN
ijassa-604	266	39	-	-	PUNCT
ijassa-604	266	40	log	log	NOUN
ijassa-604	266	41	fig	fig	NOUN
ijassa-604	266	42	.	.	PUNCT
ijassa-604	267	1	4.7	4.7	NUM
ijassa-604	267	2	.	.	PUNCT
ijassa-604	268	1	“	"	PUNCT
ijassa-604	268	2	ms	ms	PROPN
ijassa-604	268	3	”	"	PUNCT
ijassa-604	268	4	.	.	PUNCT
ijassa-604	269	1	the	the	DET
ijassa-604	269	2	actual	actual	ADJ
ijassa-604	269	3	loss	loss	NOUN
ijassa-604	269	4	in	in	ADP
ijassa-604	269	5	performance	performance	NOUN
ijassa-604	269	6	index	index	NOUN
ijassa-604	269	7	the	the	DET
ijassa-604	269	8	results	result	NOUN
ijassa-604	269	9	of	of	ADP
ijassa-604	269	10	the	the	DET
ijassa-604	269	11	experiment	experiment	NOUN
ijassa-604	269	12	for	for	ADP
ijassa-604	269	13	this	this	DET
ijassa-604	269	14	example	example	NOUN
ijassa-604	269	15	are	be	AUX
ijassa-604	269	16	presented	present	VERB
ijassa-604	269	17	in	in	ADP
ijassa-604	269	18	figs	fig	NOUN
ijassa-604	269	19	.	.	PUNCT
ijassa-604	270	1	4.6	4.6	NUM
ijassa-604	270	2	and	and	CCONJ
ijassa-604	270	3	4.7	4.7	NUM
ijassa-604	270	4	.	.	PUNCT
ijassa-604	271	1	the	the	DET
ijassa-604	271	2	figures	figure	NOUN
ijassa-604	271	3	show	show	VERB
ijassa-604	271	4	that	that	SCONJ
ijassa-604	271	5	use	use	NOUN
ijassa-604	271	6	of	of	ADP
ijassa-604	271	7	the	the	DET
ijassa-604	271	8	1∞-norm	1∞-norm	NOUN
ijassa-604	271	9	in	in	ADP
ijassa-604	271	10	this	this	DET
ijassa-604	271	11	problem	problem	NOUN
ijassa-604	271	12	did	do	AUX
ijassa-604	271	13	not	not	PART
ijassa-604	271	14	lead	lead	VERB
ijassa-604	271	15	to	to	ADP
ijassa-604	271	16	the	the	DET
ijassa-604	271	17	successful	successful	ADJ
ijassa-604	271	18	detection	detection	NOUN
ijassa-604	271	19	of	of	ADP
ijassa-604	271	20	a	a	DET
ijassa-604	271	21	sparse	sparse	ADJ
ijassa-604	271	22	structure	structure	NOUN
ijassa-604	271	23	even	even	ADV
ijassa-604	271	24	for	for	ADP
ijassa-604	271	25	large	large	ADJ
ijassa-604	271	26	values	value	NOUN
ijassa-604	271	27	of	of	ADP
ijassa-604	271	28	α̂.	α̂.	NOUN
ijassa-604	271	29	this	this	PRON
ijassa-604	271	30	reminds	remind	VERB
ijassa-604	271	31	us	we	PRON
ijassa-604	271	32	of	of	ADP
ijassa-604	271	33	the	the	DET
ijassa-604	271	34	example	example	NOUN
ijassa-604	271	35	“	"	PUNCT
ijassa-604	271	36	he4	he4	NOUN
ijassa-604	271	37	”	"	PUNCT
ijassa-604	271	38	from	from	ADP
ijassa-604	271	39	the	the	DET
ijassa-604	271	40	previous	previous	ADJ
ijassa-604	271	41	section	section	NOUN
ijassa-604	271	42	,	,	PUNCT
ijassa-604	271	43	where	where	SCONJ
ijassa-604	271	44	we	we	PRON
ijassa-604	271	45	noticed	notice	VERB
ijassa-604	271	46	that	that	SCONJ
ijassa-604	271	47	using	use	VERB
ijassa-604	271	48	the	the	DET
ijassa-604	271	49	1∞-norm	1∞-norm	NOUN
ijassa-604	271	50	makes	make	VERB
ijassa-604	271	51	α̂	α̂	NOUN
ijassa-604	271	52	a	a	DET
ijassa-604	271	53	poor	poor	ADJ
ijassa-604	271	54	estimate	estimate	NOUN
ijassa-604	271	55	of	of	ADP
ijassa-604	271	56	αsp	αsp	NOUN
ijassa-604	271	57	.	.	PUNCT
ijassa-604	272	1	this	this	DET
ijassa-604	272	2	observation	observation	NOUN
ijassa-604	272	3	is	be	AUX
ijassa-604	272	4	valid	valid	ADJ
ijassa-604	272	5	for	for	ADP
ijassa-604	272	6	all	all	DET
ijassa-604	272	7	values	value	NOUN
ijassa-604	272	8	of	of	ADP
ijassa-604	272	9	n	n	PRON
ijassa-604	272	10	tested	test	VERB
ijassa-604	272	11	during	during	ADP
ijassa-604	272	12	the	the	DET
ijassa-604	272	13	experiment	experiment	NOUN
ijassa-604	272	14	.	.	PUNCT
ijassa-604	273	1	it	it	PRON
ijassa-604	273	2	is	be	AUX
ijassa-604	273	3	hard	hard	ADJ
ijassa-604	273	4	to	to	PART
ijassa-604	273	5	explain	explain	VERB
ijassa-604	273	6	such	such	DET
ijassa-604	273	7	an	an	DET
ijassa-604	273	8	inefficiency	inefficiency	NOUN
ijassa-604	273	9	of	of	ADP
ijassa-604	273	10	the	the	DET
ijassa-604	273	11	1∞-norm	1∞-norm	NOUN
ijassa-604	273	12	.	.	PUNCT
ijassa-604	274	1	in	in	ADP
ijassa-604	274	2	this	this	DET
ijassa-604	274	3	particular	particular	ADJ
ijassa-604	274	4	example	example	NOUN
ijassa-604	274	5	one	one	NUM
ijassa-604	274	6	of	of	ADP
ijassa-604	274	7	the	the	DET
ijassa-604	274	8	possible	possible	ADJ
ijassa-604	274	9	reasons	reason	NOUN
ijassa-604	274	10	might	might	AUX
ijassa-604	274	11	be	be	AUX
ijassa-604	274	12	a	a	DET
ijassa-604	274	13	homogeneous	homogeneous	ADJ
ijassa-604	274	14	internal	internal	ADJ
ijassa-604	274	15	structure	structure	NOUN
ijassa-604	274	16	of	of	ADP
ijassa-604	274	17	the	the	DET
ijassa-604	274	18	system	system	NOUN
ijassa-604	274	19	,	,	PUNCT
ijassa-604	274	20	which	which	PRON
ijassa-604	274	21	probably	probably	ADV
ijassa-604	274	22	makes	make	VERB
ijassa-604	274	23	the	the	DET
ijassa-604	274	24	choice	choice	NOUN
ijassa-604	274	25	of	of	ADP
ijassa-604	274	26	the	the	DET
ijassa-604	274	27	control	control	NOUN
ijassa-604	274	28	inputs	input	NOUN
ijassa-604	274	29	to	to	PART
ijassa-604	274	30	be	be	AUX
ijassa-604	274	31	zeroed	zero	VERB
ijassa-604	274	32	out	out	ADP
ijassa-604	274	33	a	a	DET
ijassa-604	274	34	challenging	challenging	ADJ
ijassa-604	274	35	task	task	NOUN
ijassa-604	274	36	.	.	PUNCT
ijassa-604	275	1	copyright	copyright	NOUN
ijassa-604	275	2	c	c	ADP
ijassa-604	275	3	©	©	PROPN
ijassa-604	275	4	2018	2018	NUM
ijassa-604	275	5	assa	assa	NOUN
ijassa-604	275	6	.	.	PUNCT
ijassa-604	276	1	adv	adv	PROPN
ijassa-604	276	2	syst	syst	PROPN
ijassa-604	276	3	sci	sci	PROPN
ijassa-604	276	4	appl	appl	PROPN
ijassa-604	276	5	(	(	PUNCT
ijassa-604	276	6	2018	2018	NUM
ijassa-604	276	7	)	)	PUNCT
ijassa-604	276	8	24	24	NUM
ijassa-604	276	9	a.	a.	NOUN
ijassa-604	276	10	bykov	bykov	NOUN
ijassa-604	276	11	,	,	PUNCT
ijassa-604	276	12	p.	p.	NOUN
ijassa-604	276	13	shcherbakov	shcherbakov	NOUN
ijassa-604	276	14	although	although	SCONJ
ijassa-604	276	15	the	the	DET
ijassa-604	276	16	weighted	weighted	ADJ
ijassa-604	276	17	1∞-norm	1∞-norm	NOUN
ijassa-604	276	18	succeeded	succeed	VERB
ijassa-604	276	19	in	in	ADP
ijassa-604	276	20	yielding	yield	VERB
ijassa-604	276	21	sparse	sparse	ADJ
ijassa-604	276	22	controllers	controller	NOUN
ijassa-604	276	23	,	,	PUNCT
ijassa-604	276	24	it	it	PRON
ijassa-604	276	25	is	be	AUX
ijassa-604	276	26	less	less	ADV
ijassa-604	276	27	efficient	efficient	ADJ
ijassa-604	276	28	than	than	ADP
ijassa-604	276	29	the	the	DET
ijassa-604	276	30	nonconvex	nonconvex	NOUN
ijassa-604	276	31	approximations	approximation	NOUN
ijassa-604	276	32	(	(	PUNCT
ijassa-604	276	33	3.13	3.13	NUM
ijassa-604	276	34	)	)	PUNCT
ijassa-604	276	35	and	and	CCONJ
ijassa-604	276	36	(	(	PUNCT
ijassa-604	276	37	3.14	3.14	NUM
ijassa-604	276	38	)	)	PUNCT
ijassa-604	276	39	.	.	PUNCT
ijassa-604	277	1	nevertheless	nevertheless	ADV
ijassa-604	277	2	,	,	PUNCT
ijassa-604	277	3	algorithm	algorithm	NOUN
ijassa-604	277	4	1	1	NUM
ijassa-604	277	5	for	for	ADP
ijassa-604	277	6	minimizing	minimize	VERB
ijassa-604	277	7	the	the	DET
ijassa-604	277	8	weighted	weight	VERB
ijassa-604	277	9	1∞-norm	1∞-norm	NOUN
ijassa-604	277	10	is	be	AUX
ijassa-604	277	11	quite	quite	ADV
ijassa-604	277	12	straightforward	straightforward	ADJ
ijassa-604	277	13	in	in	ADP
ijassa-604	277	14	implementation	implementation	NOUN
ijassa-604	277	15	and	and	CCONJ
ijassa-604	277	16	allows	allow	VERB
ijassa-604	277	17	to	to	PART
ijassa-604	277	18	achieve	achieve	VERB
ijassa-604	277	19	better	well	ADJ
ijassa-604	277	20	results	result	NOUN
ijassa-604	277	21	than	than	ADP
ijassa-604	277	22	the	the	DET
ijassa-604	277	23	standard	standard	ADJ
ijassa-604	277	24	minimization	minimization	NOUN
ijassa-604	277	25	of	of	ADP
ijassa-604	277	26	the	the	DET
ijassa-604	277	27	1∞-norm	1∞-norm	NOUN
ijassa-604	277	28	.	.	PUNCT
ijassa-604	278	1	there	there	PRON
ijassa-604	278	2	is	be	VERB
ijassa-604	278	3	an	an	DET
ijassa-604	278	4	interesting	interesting	ADJ
ijassa-604	278	5	detail	detail	NOUN
ijassa-604	278	6	about	about	ADP
ijassa-604	278	7	the	the	DET
ijassa-604	278	8	process	process	NOUN
ijassa-604	278	9	of	of	ADP
ijassa-604	278	10	the	the	DET
ijassa-604	278	11	detection	detection	NOUN
ijassa-604	278	12	of	of	ADP
ijassa-604	278	13	zero	zero	NUM
ijassa-604	278	14	rows	row	NOUN
ijassa-604	278	15	.	.	PUNCT
ijassa-604	279	1	this	this	DET
ijassa-604	279	2	process	process	NOUN
ijassa-604	279	3	is	be	AUX
ijassa-604	279	4	sequential	sequential	ADJ
ijassa-604	279	5	,	,	PUNCT
ijassa-604	279	6	i.e.	i.e.	X
ijassa-604	279	7	,	,	PUNCT
ijassa-604	279	8	the	the	DET
ijassa-604	279	9	number	number	NOUN
ijassa-604	279	10	of	of	ADP
ijassa-604	279	11	zero	zero	NUM
ijassa-604	279	12	rows	row	NOUN
ijassa-604	279	13	grows	grow	VERB
ijassa-604	279	14	step	step	NOUN
ijassa-604	279	15	-	-	PUNCT
ijassa-604	279	16	wise	wise	ADJ
ijassa-604	279	17	or	or	CCONJ
ijassa-604	279	18	one	one	NUM
ijassa-604	279	19	by	by	ADP
ijassa-604	279	20	one	one	NUM
ijassa-604	279	21	.	.	PUNCT
ijassa-604	280	1	if	if	SCONJ
ijassa-604	280	2	the	the	DET
ijassa-604	280	3	values	value	NOUN
ijassa-604	280	4	in	in	ADP
ijassa-604	280	5	the	the	DET
ijassa-604	280	6	row	row	NOUN
ijassa-604	280	7	approach	approach	NOUN
ijassa-604	280	8	zero	zero	NUM
ijassa-604	280	9	,	,	PUNCT
ijassa-604	280	10	say	say	VERB
ijassa-604	280	11	become	become	VERB
ijassa-604	280	12	less	less	ADJ
ijassa-604	280	13	than	than	ADP
ijassa-604	280	14	10−10	10−10	NUM
ijassa-604	280	15	,	,	PUNCT
ijassa-604	280	16	then	then	ADV
ijassa-604	280	17	,	,	PUNCT
ijassa-604	280	18	according	accord	VERB
ijassa-604	280	19	to	to	ADP
ijassa-604	280	20	the	the	DET
ijassa-604	280	21	algorithm	algorithm	NOUN
ijassa-604	280	22	,	,	PUNCT
ijassa-604	280	23	the	the	DET
ijassa-604	280	24	weight	weight	NOUN
ijassa-604	280	25	for	for	ADP
ijassa-604	280	26	this	this	DET
ijassa-604	280	27	row	row	NOUN
ijassa-604	280	28	becomes	become	VERB
ijassa-604	280	29	very	very	ADV
ijassa-604	280	30	large	large	ADJ
ijassa-604	280	31	,	,	PUNCT
ijassa-604	280	32	since	since	SCONJ
ijassa-604	280	33	it	it	PRON
ijassa-604	280	34	is	be	AUX
ijassa-604	280	35	inversely	inversely	ADV
ijassa-604	280	36	proportional	proportional	ADJ
ijassa-604	280	37	to	to	ADP
ijassa-604	280	38	the	the	DET
ijassa-604	280	39	maximum	maximum	NOUN
ijassa-604	280	40	among	among	ADP
ijassa-604	280	41	the	the	DET
ijassa-604	280	42	absolute	absolute	ADJ
ijassa-604	280	43	values	value	NOUN
ijassa-604	280	44	of	of	ADP
ijassa-604	280	45	the	the	DET
ijassa-604	280	46	elements	element	NOUN
ijassa-604	280	47	of	of	ADP
ijassa-604	280	48	this	this	DET
ijassa-604	280	49	row	row	NOUN
ijassa-604	280	50	.	.	PUNCT
ijassa-604	281	1	for	for	ADP
ijassa-604	281	2	a	a	DET
ijassa-604	281	3	row	row	NOUN
ijassa-604	281	4	with	with	ADP
ijassa-604	281	5	the	the	DET
ijassa-604	281	6	weight	weight	NOUN
ijassa-604	281	7	1010	1010	NUM
ijassa-604	281	8	it	it	PRON
ijassa-604	281	9	is	be	AUX
ijassa-604	281	10	hardly	hardly	ADV
ijassa-604	281	11	possible	possible	ADJ
ijassa-604	281	12	to	to	PART
ijassa-604	281	13	gain	gain	VERB
ijassa-604	281	14	nonzero	nonzero	PROPN
ijassa-604	281	15	values	value	NOUN
ijassa-604	281	16	.	.	PUNCT
ijassa-604	282	1	thus	thus	ADV
ijassa-604	282	2	,	,	PUNCT
ijassa-604	282	3	if	if	SCONJ
ijassa-604	282	4	at	at	ADP
ijassa-604	282	5	any	any	DET
ijassa-604	282	6	iteration	iteration	NOUN
ijassa-604	282	7	some	some	DET
ijassa-604	282	8	row	row	NOUN
ijassa-604	282	9	becomes	become	VERB
ijassa-604	282	10	zero	zero	NUM
ijassa-604	282	11	,	,	PUNCT
ijassa-604	282	12	it	it	PRON
ijassa-604	282	13	will	will	AUX
ijassa-604	282	14	stay	stay	VERB
ijassa-604	282	15	zero	zero	NUM
ijassa-604	282	16	till	till	SCONJ
ijassa-604	282	17	the	the	DET
ijassa-604	282	18	end	end	NOUN
ijassa-604	282	19	of	of	ADP
ijassa-604	282	20	the	the	DET
ijassa-604	282	21	algorithm	algorithm	NOUN
ijassa-604	282	22	.	.	PUNCT
ijassa-604	283	1	implementation	implementation	NOUN
ijassa-604	283	2	of	of	ADP
ijassa-604	283	3	the	the	DET
ijassa-604	283	4	algorithm	algorithm	NOUN
ijassa-604	283	5	to	to	PART
ijassa-604	283	6	minimize	minimize	VERB
ijassa-604	283	7	approximations	approximation	NOUN
ijassa-604	283	8	(	(	PUNCT
ijassa-604	283	9	3.13	3.13	NUM
ijassa-604	283	10	)	)	PUNCT
ijassa-604	283	11	,	,	PUNCT
ijassa-604	283	12	(	(	PUNCT
ijassa-604	283	13	3.14	3.14	NUM
ijassa-604	283	14	)	)	PUNCT
ijassa-604	283	15	(	(	PUNCT
ijassa-604	283	16	cccp	cccp	PROPN
ijassa-604	283	17	)	)	PUNCT
ijassa-604	283	18	requires	require	VERB
ijassa-604	283	19	calculating	calculate	VERB
ijassa-604	283	20	a	a	DET
ijassa-604	283	21	gradient	gradient	NOUN
ijassa-604	283	22	of	of	ADP
ijassa-604	283	23	the	the	DET
ijassa-604	283	24	corresponding	corresponding	ADJ
ijassa-604	283	25	functions	function	NOUN
ijassa-604	283	26	,	,	PUNCT
ijassa-604	283	27	its	its	PRON
ijassa-604	283	28	iterative	iterative	NOUN
ijassa-604	283	29	nature	nature	NOUN
ijassa-604	283	30	being	be	AUX
ijassa-604	283	31	similar	similar	ADJ
ijassa-604	283	32	to	to	ADP
ijassa-604	283	33	algorithm	algorithm	NOUN
ijassa-604	283	34	1	1	NUM
ijassa-604	283	35	.	.	PUNCT
ijassa-604	284	1	in	in	ADP
ijassa-604	284	2	most	most	ADJ
ijassa-604	284	3	cases	case	NOUN
ijassa-604	284	4	,	,	PUNCT
ijassa-604	284	5	the	the	DET
ijassa-604	284	6	nonconvex	nonconvex	NOUN
ijassa-604	284	7	surrogate	surrogate	VERB
ijassa-604	284	8	nsd	nsd	NOUN
ijassa-604	284	9	performs	perform	VERB
ijassa-604	284	10	as	as	ADV
ijassa-604	284	11	good	good	ADJ
ijassa-604	284	12	as	as	ADP
ijassa-604	284	13	the	the	DET
ijassa-604	284	14	log	log	NOUN
ijassa-604	284	15	-	-	PUNCT
ijassa-604	284	16	sum	sum	NOUN
ijassa-604	284	17	approximations	approximation	NOUN
ijassa-604	284	18	,	,	PUNCT
ijassa-604	284	19	and	and	CCONJ
ijassa-604	284	20	sometimes	sometimes	ADV
ijassa-604	284	21	nsd	nsd	ADV
ijassa-604	284	22	happens	happen	VERB
ijassa-604	284	23	to	to	PART
ijassa-604	284	24	be	be	AUX
ijassa-604	284	25	better	well	ADJ
ijassa-604	284	26	.	.	PUNCT
ijassa-604	285	1	figure	figure	VERB
ijassa-604	285	2	4.7	4.7	NUM
ijassa-604	285	3	shows	show	NOUN
ijassa-604	285	4	that	that	SCONJ
ijassa-604	285	5	using	use	VERB
ijassa-604	285	6	functions	function	NOUN
ijassa-604	285	7	(	(	PUNCT
ijassa-604	285	8	3.13	3.13	NUM
ijassa-604	285	9	)	)	PUNCT
ijassa-604	285	10	,	,	PUNCT
ijassa-604	285	11	(	(	PUNCT
ijassa-604	285	12	3.14	3.14	NUM
ijassa-604	285	13	)	)	PUNCT
ijassa-604	285	14	yielded	yield	VERB
ijassa-604	285	15	sparse	sparse	ADJ
ijassa-604	285	16	controllers	controller	NOUN
ijassa-604	285	17	which	which	PRON
ijassa-604	285	18	are	be	AUX
ijassa-604	285	19	close	close	ADJ
ijassa-604	285	20	or	or	CCONJ
ijassa-604	285	21	equal	equal	ADJ
ijassa-604	285	22	to	to	ADP
ijassa-604	285	23	optimal	optimal	ADJ
ijassa-604	285	24	sparse	sparse	ADJ
ijassa-604	285	25	controllers	controller	NOUN
ijassa-604	285	26	.	.	PUNCT
ijassa-604	286	1	in	in	ADP
ijassa-604	286	2	terms	term	NOUN
ijassa-604	286	3	of	of	ADP
ijassa-604	286	4	optimality	optimality	NOUN
ijassa-604	286	5	,	,	PUNCT
ijassa-604	286	6	among	among	ADP
ijassa-604	286	7	sparse	sparse	ADJ
ijassa-604	286	8	controllers	controller	NOUN
ijassa-604	286	9	with	with	ADP
ijassa-604	286	10	the	the	DET
ijassa-604	286	11	fixed	fix	VERB
ijassa-604	286	12	number	number	NOUN
ijassa-604	286	13	of	of	ADP
ijassa-604	286	14	zero	zero	NUM
ijassa-604	286	15	rows	row	NOUN
ijassa-604	286	16	the	the	DET
ijassa-604	286	17	weighted	weighted	ADJ
ijassa-604	286	18	1∞-norm	1∞-norm	NOUN
ijassa-604	286	19	(	(	PUNCT
ijassa-604	286	20	3.12	3.12	NUM
ijassa-604	286	21	)	)	PUNCT
ijassa-604	286	22	is	be	AUX
ijassa-604	286	23	less	less	ADV
ijassa-604	286	24	efficient	efficient	ADJ
ijassa-604	286	25	than	than	ADP
ijassa-604	286	26	nonconvex	nonconvex	NOUN
ijassa-604	286	27	surrogates	surrogate	NOUN
ijassa-604	286	28	.	.	PUNCT
ijassa-604	287	1	this	this	DET
ijassa-604	287	2	detail	detail	NOUN
ijassa-604	287	3	is	be	AUX
ijassa-604	287	4	important	important	ADJ
ijassa-604	287	5	due	due	ADP
ijassa-604	287	6	to	to	ADP
ijassa-604	287	7	the	the	DET
ijassa-604	287	8	fact	fact	NOUN
ijassa-604	287	9	that	that	SCONJ
ijassa-604	287	10	global	global	ADJ
ijassa-604	287	11	convergence	convergence	NOUN
ijassa-604	287	12	is	be	AUX
ijassa-604	287	13	not	not	PART
ijassa-604	287	14	guaranteed	guarantee	VERB
ijassa-604	287	15	.	.	PUNCT
ijassa-604	288	1	on	on	ADP
ijassa-604	288	2	the	the	DET
ijassa-604	288	3	ground	ground	NOUN
ijassa-604	288	4	of	of	ADP
ijassa-604	288	5	the	the	DET
ijassa-604	288	6	results	result	NOUN
ijassa-604	288	7	of	of	ADP
ijassa-604	288	8	the	the	DET
ijassa-604	288	9	numerical	numerical	ADJ
ijassa-604	288	10	experiments	experiment	NOUN
ijassa-604	288	11	described	describe	VERB
ijassa-604	288	12	above	above	ADP
ijassa-604	288	13	we	we	PRON
ijassa-604	288	14	arrived	arrive	VERB
ijassa-604	288	15	at	at	ADP
ijassa-604	288	16	the	the	DET
ijassa-604	288	17	following	following	ADJ
ijassa-604	288	18	conclusions	conclusion	NOUN
ijassa-604	288	19	:	:	PUNCT
ijassa-604	288	20	•	•	ADP
ijassa-604	288	21	using	use	VERB
ijassa-604	288	22	the	the	DET
ijassa-604	288	23	1∞-norm	1∞-norm	NOUN
ijassa-604	288	24	can	can	AUX
ijassa-604	288	25	lead	lead	VERB
ijassa-604	288	26	to	to	ADP
ijassa-604	288	27	situations	situation	NOUN
ijassa-604	288	28	where	where	SCONJ
ijassa-604	288	29	the	the	DET
ijassa-604	288	30	actual	actual	ADJ
ijassa-604	288	31	sparse	sparse	ADJ
ijassa-604	288	32	-	-	PUNCT
ijassa-604	288	33	to	to	ADP
ijassa-604	288	34	-	-	PUNCT
ijassa-604	288	35	optimal	optimal	ADJ
ijassa-604	288	36	performance	performance	NOUN
ijassa-604	288	37	drop	drop	NOUN
ijassa-604	288	38	αsp	αsp	NOUN
ijassa-604	288	39	is	be	AUX
ijassa-604	288	40	significantly	significantly	ADV
ijassa-604	288	41	smaller	small	ADJ
ijassa-604	288	42	than	than	ADP
ijassa-604	288	43	the	the	DET
ijassa-604	288	44	maximum	maximum	ADJ
ijassa-604	288	45	admissible	admissible	ADJ
ijassa-604	288	46	loss	loss	NOUN
ijassa-604	288	47	in	in	ADP
ijassa-604	288	48	performance	performance	NOUN
ijassa-604	288	49	α̂.	α̂.	PROPN
ijassa-604	288	50	other	other	ADJ
ijassa-604	288	51	surrogates	surrogate	NOUN
ijassa-604	288	52	usually	usually	ADV
ijassa-604	288	53	do	do	AUX
ijassa-604	288	54	not	not	PART
ijassa-604	288	55	suffer	suffer	VERB
ijassa-604	288	56	from	from	ADP
ijassa-604	288	57	this	this	DET
ijassa-604	288	58	drawback	drawback	NOUN
ijassa-604	288	59	.	.	PUNCT
ijassa-604	289	1	•	•	NOUN
ijassa-604	289	2	using	use	VERB
ijassa-604	289	3	approximations	approximation	NOUN
ijassa-604	289	4	to	to	ADP
ijassa-604	289	5	the	the	DET
ijassa-604	289	6	matrix	matrix	NOUN
ijassa-604	289	7	`	`	PUNCT
ijassa-604	289	8	0	0	NUM
ijassa-604	289	9	-	-	PUNCT
ijassa-604	289	10	quasinorm	quasinorm	NOUN
ijassa-604	289	11	usually	usually	ADV
ijassa-604	289	12	yields	yield	VERB
ijassa-604	289	13	a	a	DET
ijassa-604	289	14	sparse	sparse	ADJ
ijassa-604	289	15	controller	controller	NOUN
ijassa-604	289	16	which	which	PRON
ijassa-604	289	17	is	be	AUX
ijassa-604	289	18	optimal	optimal	ADJ
ijassa-604	289	19	among	among	ADP
ijassa-604	289	20	all	all	DET
ijassa-604	289	21	controllers	controller	NOUN
ijassa-604	289	22	with	with	ADP
ijassa-604	289	23	the	the	DET
ijassa-604	289	24	same	same	ADJ
ijassa-604	289	25	number	number	NOUN
ijassa-604	289	26	of	of	ADP
ijassa-604	289	27	zero	zero	NUM
ijassa-604	289	28	rows	row	NOUN
ijassa-604	289	29	.	.	PUNCT
ijassa-604	290	1	•	•	NOUN
ijassa-604	290	2	in	in	ADP
ijassa-604	290	3	some	some	DET
ijassa-604	290	4	problems	problem	NOUN
ijassa-604	290	5	(	(	PUNCT
ijassa-604	290	6	e.g.	e.g.	ADV
ijassa-604	290	7	,	,	PUNCT
ijassa-604	290	8	see	see	VERB
ijassa-604	290	9	the	the	DET
ijassa-604	290	10	example	example	NOUN
ijassa-604	290	11	from	from	ADP
ijassa-604	290	12	section	section	NOUN
ijassa-604	290	13	4.2	4.2	NUM
ijassa-604	290	14	)	)	PUNCT
ijassa-604	290	15	the	the	DET
ijassa-604	290	16	1∞-norm	1∞-norm	NOUN
ijassa-604	290	17	does	do	AUX
ijassa-604	290	18	not	not	PART
ijassa-604	290	19	succeed	succeed	VERB
ijassa-604	290	20	in	in	ADP
ijassa-604	290	21	the	the	DET
ijassa-604	290	22	detection	detection	NOUN
ijassa-604	290	23	of	of	ADP
ijassa-604	290	24	sparse	sparse	ADJ
ijassa-604	290	25	structure	structure	NOUN
ijassa-604	290	26	even	even	ADV
ijassa-604	290	27	for	for	ADP
ijassa-604	290	28	large	large	ADJ
ijassa-604	290	29	values	value	NOUN
ijassa-604	290	30	of	of	ADP
ijassa-604	290	31	α̂.	α̂.	PROPN
ijassa-604	290	32	•	•	ADP
ijassa-604	290	33	the	the	DET
ijassa-604	290	34	nsd	nsd	NOUN
ijassa-604	290	35	function	function	NOUN
ijassa-604	290	36	appears	appear	VERB
ijassa-604	290	37	to	to	PART
ijassa-604	290	38	be	be	AUX
ijassa-604	290	39	effective	effective	ADJ
ijassa-604	290	40	similarly	similarly	ADV
ijassa-604	290	41	to	to	ADP
ijassa-604	290	42	the	the	DET
ijassa-604	290	43	nonconvex	nonconvex	NOUN
ijassa-604	290	44	surrogate	surrogate	VERB
ijassa-604	290	45	log	log	NOUN
ijassa-604	290	46	-	-	PUNCT
ijassa-604	290	47	sum	sum	NOUN
ijassa-604	290	48	,	,	PUNCT
ijassa-604	290	49	and	and	CCONJ
ijassa-604	290	50	in	in	ADP
ijassa-604	290	51	some	some	DET
ijassa-604	290	52	cases	case	NOUN
ijassa-604	290	53	the	the	DET
ijassa-604	290	54	nsd	nsd	NOUN
ijassa-604	290	55	happens	happen	VERB
ijassa-604	290	56	to	to	PART
ijassa-604	290	57	perform	perform	VERB
ijassa-604	290	58	better	well	ADV
ijassa-604	290	59	.	.	PUNCT
ijassa-604	291	1	5	5	X
ijassa-604	291	2	.	.	X
ijassa-604	291	3	conclusion	conclusion	NOUN
ijassa-604	291	4	in	in	ADP
ijassa-604	291	5	this	this	DET
ijassa-604	291	6	paper	paper	NOUN
ijassa-604	291	7	we	we	PRON
ijassa-604	291	8	considered	consider	VERB
ijassa-604	291	9	various	various	ADJ
ijassa-604	291	10	approximations	approximation	NOUN
ijassa-604	291	11	to	to	ADP
ijassa-604	291	12	the	the	DET
ijassa-604	291	13	matrix	matrix	NOUN
ijassa-604	291	14	`	`	PUNCT
ijassa-604	291	15	0	0	NUM
ijassa-604	291	16	-	-	PUNCT
ijassa-604	291	17	quasinorm	quasinorm	NOUN
ijassa-604	291	18	,	,	PUNCT
ijassa-604	291	19	which	which	PRON
ijassa-604	291	20	can	can	AUX
ijassa-604	291	21	be	be	AUX
ijassa-604	291	22	applied	apply	VERB
ijassa-604	291	23	to	to	PART
ijassa-604	291	24	sparse	sparse	VERB
ijassa-604	291	25	feedback	feedback	NOUN
ijassa-604	291	26	design	design	NOUN
ijassa-604	291	27	in	in	ADP
ijassa-604	291	28	optimal	optimal	ADJ
ijassa-604	291	29	control	control	NOUN
ijassa-604	291	30	problems	problem	NOUN
ijassa-604	291	31	.	.	PUNCT
ijassa-604	292	1	the	the	DET
ijassa-604	292	2	results	result	NOUN
ijassa-604	292	3	of	of	ADP
ijassa-604	292	4	the	the	DET
ijassa-604	292	5	numerical	numerical	ADJ
ijassa-604	292	6	experiments	experiment	NOUN
ijassa-604	292	7	show	show	VERB
ijassa-604	292	8	that	that	SCONJ
ijassa-604	292	9	to	to	ADP
ijassa-604	292	10	some	some	DET
ijassa-604	292	11	extent	extent	NOUN
ijassa-604	292	12	all	all	DET
ijassa-604	292	13	the	the	DET
ijassa-604	292	14	surrogates	surrogate	NOUN
ijassa-604	292	15	analyzed	analyze	VERB
ijassa-604	292	16	can	can	AUX
ijassa-604	292	17	be	be	AUX
ijassa-604	292	18	applied	apply	VERB
ijassa-604	292	19	to	to	ADP
ijassa-604	292	20	the	the	DET
ijassa-604	292	21	detection	detection	NOUN
ijassa-604	292	22	of	of	ADP
ijassa-604	292	23	zero	zero	NUM
ijassa-604	292	24	rows	row	NOUN
ijassa-604	292	25	of	of	ADP
ijassa-604	292	26	the	the	DET
ijassa-604	292	27	gain	gain	NOUN
ijassa-604	292	28	matrix	matrix	NOUN
ijassa-604	292	29	,	,	PUNCT
ijassa-604	292	30	but	but	CCONJ
ijassa-604	292	31	nonconvex	nonconvex	NOUN
ijassa-604	292	32	surrogates	surrogate	NOUN
ijassa-604	292	33	perform	perform	VERB
ijassa-604	292	34	better	well	ADV
ijassa-604	292	35	.	.	PUNCT
ijassa-604	293	1	future	future	ADJ
ijassa-604	293	2	efforts	effort	NOUN
ijassa-604	293	3	to	to	PART
ijassa-604	293	4	be	be	AUX
ijassa-604	293	5	made	make	VERB
ijassa-604	293	6	in	in	ADP
ijassa-604	293	7	this	this	DET
ijassa-604	293	8	area	area	NOUN
ijassa-604	293	9	include	include	VERB
ijassa-604	293	10	the	the	DET
ijassa-604	293	11	analysis	analysis	NOUN
ijassa-604	293	12	of	of	ADP
ijassa-604	293	13	examples	example	NOUN
ijassa-604	293	14	where	where	SCONJ
ijassa-604	293	15	one	one	NUM
ijassa-604	293	16	or	or	CCONJ
ijassa-604	293	17	another	another	DET
ijassa-604	293	18	approximation	approximation	NOUN
ijassa-604	293	19	to	to	ADP
ijassa-604	293	20	the	the	DET
ijassa-604	293	21	matrix	matrix	NOUN
ijassa-604	293	22	`	`	PUNCT
ijassa-604	293	23	0	0	NUM
ijassa-604	293	24	-	-	PUNCT
ijassa-604	293	25	quasinorm	quasinorm	NOUN
ijassa-604	293	26	happens	happen	VERB
ijassa-604	293	27	to	to	PART
ijassa-604	293	28	be	be	AUX
ijassa-604	293	29	inefficient	inefficient	ADJ
ijassa-604	293	30	,	,	PUNCT
ijassa-604	293	31	and	and	CCONJ
ijassa-604	293	32	studying	study	VERB
ijassa-604	293	33	the	the	DET
ijassa-604	293	34	alternative	alternative	ADJ
ijassa-604	293	35	numerical	numerical	ADJ
ijassa-604	293	36	procedures	procedure	NOUN
ijassa-604	293	37	which	which	PRON
ijassa-604	293	38	can	can	AUX
ijassa-604	293	39	be	be	AUX
ijassa-604	293	40	applied	apply	VERB
ijassa-604	293	41	to	to	PART
ijassa-604	293	42	sparse	sparse	VERB
ijassa-604	293	43	feedback	feedback	NOUN
ijassa-604	293	44	design	design	NOUN
ijassa-604	293	45	,	,	PUNCT
ijassa-604	293	46	e.g.	e.g.	ADV
ijassa-604	293	47	,	,	PUNCT
ijassa-604	293	48	admm	admm	VERB
ijassa-604	293	49	,	,	PUNCT
ijassa-604	293	50	alternating	alternate	VERB
ijassa-604	293	51	direction	direction	NOUN
ijassa-604	293	52	method	method	NOUN
ijassa-604	293	53	of	of	ADP
ijassa-604	293	54	multipliers	multiplier	NOUN
ijassa-604	293	55	.	.	PUNCT
ijassa-604	294	1	acknowledgements	acknowledgement	NOUN
ijassa-604	294	2	this	this	DET
ijassa-604	294	3	work	work	NOUN
ijassa-604	294	4	is	be	AUX
ijassa-604	294	5	supported	support	VERB
ijassa-604	294	6	by	by	ADP
ijassa-604	294	7	the	the	DET
ijassa-604	294	8	russian	russian	PROPN
ijassa-604	294	9	science	science	PROPN
ijassa-604	294	10	foundation	foundation	PROPN
ijassa-604	294	11	through	through	ADP
ijassa-604	294	12	grant	grant	PROPN
ijassa-604	294	13	no	no	NOUN
ijassa-604	294	14	.	.	NOUN
ijassa-604	294	15	16	16	NUM
ijassa-604	294	16	-	-	SYM
ijassa-604	294	17	1110015	1110015	NUM
ijassa-604	294	18	.	.	PUNCT
ijassa-604	295	1	references	reference	NOUN
ijassa-604	295	2	copyright	copyright	NOUN
ijassa-604	295	3	c	c	ADP
ijassa-604	295	4	©	©	PROPN
ijassa-604	295	5	2018	2018	NUM
ijassa-604	295	6	assa	assa	NOUN
ijassa-604	295	7	.	.	PUNCT
ijassa-604	296	1	adv	adv	PROPN
ijassa-604	296	2	syst	syst	PROPN
ijassa-604	296	3	sci	sci	PROPN
ijassa-604	296	4	appl	appl	PROPN
ijassa-604	296	5	(	(	PUNCT
ijassa-604	296	6	2018	2018	NUM
ijassa-604	296	7	)	)	PUNCT
ijassa-604	296	8	surrogates	surrogate	NOUN
ijassa-604	296	9	for	for	ADP
ijassa-604	296	10	the	the	DET
ijassa-604	296	11	matrix	matrix	NOUN
ijassa-604	296	12	`	`	PUNCT
ijassa-604	296	13	0	0	NUM
ijassa-604	296	14	-	-	PUNCT
ijassa-604	296	15	quasinorm	quasinorm	NOUN
ijassa-604	296	16	25	25	NUM
ijassa-604	296	17	1	1	NUM
ijassa-604	296	18	.	.	PUNCT
ijassa-604	297	1	boyd	boyd	PROPN
ijassa-604	297	2	,	,	PUNCT
ijassa-604	297	3	s.	s.	PROPN
ijassa-604	297	4	,	,	PUNCT
ijassa-604	297	5	ghaoui	ghaoui	PROPN
ijassa-604	297	6	,	,	PUNCT
ijassa-604	297	7	l.e	l.e	PROPN
ijassa-604	297	8	.	.	PROPN
ijassa-604	297	9	,	,	PUNCT
ijassa-604	297	10	feron	feron	PROPN
ijassa-604	297	11	,	,	PUNCT
ijassa-604	297	12	e.	e.	PROPN
ijassa-604	297	13	&	&	CCONJ
ijassa-604	297	14	balakrishnan	balakrishnan	PROPN
ijassa-604	297	15	,	,	PUNCT
ijassa-604	297	16	v.	v.	PROPN
ijassa-604	297	17	(	(	PUNCT
ijassa-604	297	18	1994	1994	NUM
ijassa-604	297	19	)	)	PUNCT
ijassa-604	297	20	linear	linear	ADJ
ijassa-604	297	21	matrix	matrix	NOUN
ijassa-604	297	22	inequalities	inequality	NOUN
ijassa-604	297	23	in	in	ADP
ijassa-604	297	24	system	system	NOUN
ijassa-604	297	25	and	and	CCONJ
ijassa-604	297	26	control	control	NOUN
ijassa-604	297	27	theory	theory	NOUN
ijassa-604	297	28	.	.	PUNCT
ijassa-604	298	1	philadelphia	philadelphia	PROPN
ijassa-604	298	2	,	,	PUNCT
ijassa-604	298	3	pa	pa	PROPN
ijassa-604	298	4	:	:	PUNCT
ijassa-604	298	5	siam	siam	ADJ
ijassa-604	298	6	studies	study	NOUN
ijassa-604	298	7	in	in	ADP
ijassa-604	298	8	applied	applied	ADJ
ijassa-604	298	9	mathematics	mathematic	NOUN
ijassa-604	298	10	.	.	PUNCT
ijassa-604	299	1	2	2	X
ijassa-604	299	2	.	.	X
ijassa-604	299	3	bykov	bykov	NOUN
ijassa-604	299	4	,	,	PUNCT
ijassa-604	299	5	a.	a.	NOUN
ijassa-604	299	6	,	,	PUNCT
ijassa-604	299	7	shcherbakov	shcherbakov	NOUN
ijassa-604	299	8	,	,	PUNCT
ijassa-604	299	9	p.	p.	PROPN
ijassa-604	299	10	&	&	CCONJ
ijassa-604	299	11	ding	ding	PROPN
ijassa-604	299	12	,	,	PUNCT
ijassa-604	299	13	m.	m.	NOUN
ijassa-604	299	14	(	(	PUNCT
ijassa-604	299	15	2016	2016	NUM
ijassa-604	299	16	)	)	PUNCT
ijassa-604	299	17	a	a	DET
ijassa-604	299	18	tractable	tractable	ADJ
ijassa-604	299	19	nonconvex	nonconvex	NOUN
ijassa-604	299	20	surrogate	surrogate	ADJ
ijassa-604	299	21	for	for	ADP
ijassa-604	299	22	the	the	DET
ijassa-604	299	23	matrix	matrix	NOUN
ijassa-604	299	24	`	`	PUNCT
ijassa-604	299	25	0	0	NUM
ijassa-604	299	26	-	-	PUNCT
ijassa-604	299	27	quasinorm	quasinorm	NOUN
ijassa-604	299	28	:	:	PUNCT
ijassa-604	299	29	applications	application	NOUN
ijassa-604	299	30	to	to	PART
ijassa-604	299	31	sparse	sparse	VERB
ijassa-604	299	32	feedback	feedback	NOUN
ijassa-604	299	33	design	design	NOUN
ijassa-604	299	34	,	,	PUNCT
ijassa-604	299	35	ifac	ifac	NOUN
ijassa-604	299	36	-	-	PUNCT
ijassa-604	299	37	papersonline	papersonline	NOUN
ijassa-604	299	38	,	,	PUNCT
ijassa-604	299	39	49(13	49(13	NUM
ijassa-604	299	40	)	)	PUNCT
ijassa-604	299	41	,	,	PUNCT
ijassa-604	299	42	53–58	53–58	NUM
ijassa-604	299	43	.	.	PUNCT
ijassa-604	300	1	3	3	X
ijassa-604	300	2	.	.	X
ijassa-604	300	3	candès	candès	PROPN
ijassa-604	300	4	,	,	PUNCT
ijassa-604	300	5	e.j	e.j	PROPN
ijassa-604	300	6	.	.	PROPN
ijassa-604	300	7	,	,	PUNCT
ijassa-604	300	8	wakin	wakin	PROPN
ijassa-604	300	9	,	,	PUNCT
ijassa-604	300	10	m.b	m.b	PROPN
ijassa-604	300	11	.	.	PROPN
ijassa-604	300	12	&	&	CCONJ
ijassa-604	300	13	boyd	boyd	PROPN
ijassa-604	300	14	,	,	PUNCT
ijassa-604	300	15	s.p	s.p	PROPN
ijassa-604	300	16	.	.	PROPN
ijassa-604	300	17	(	(	PUNCT
ijassa-604	300	18	2008	2008	NUM
ijassa-604	300	19	)	)	PUNCT
ijassa-604	300	20	enhancing	enhance	VERB
ijassa-604	300	21	sparsity	sparsity	NOUN
ijassa-604	300	22	by	by	ADP
ijassa-604	300	23	reweighted	reweighte	VERB
ijassa-604	300	24	`	`	PUNCT
ijassa-604	300	25	1	1	NUM
ijassa-604	300	26	minimization	minimization	NOUN
ijassa-604	300	27	,	,	PUNCT
ijassa-604	300	28	journal	journal	NOUN
ijassa-604	300	29	of	of	ADP
ijassa-604	300	30	fourier	fourier	ADJ
ijassa-604	300	31	analysis	analysis	NOUN
ijassa-604	300	32	and	and	CCONJ
ijassa-604	300	33	applications	application	NOUN
ijassa-604	300	34	,	,	PUNCT
ijassa-604	300	35	14(5	14(5	NUM
ijassa-604	300	36	)	)	PUNCT
ijassa-604	300	37	,	,	PUNCT
ijassa-604	300	38	877–905	877–905	NUM
ijassa-604	300	39	.	.	PUNCT
ijassa-604	301	1	4	4	X
ijassa-604	301	2	.	.	X
ijassa-604	301	3	fazel	fazel	ADJ
ijassa-604	301	4	,	,	PUNCT
ijassa-604	301	5	m.	m.	NOUN
ijassa-604	301	6	,	,	PUNCT
ijassa-604	301	7	hindi	hindi	NOUN
ijassa-604	301	8	,	,	PUNCT
ijassa-604	301	9	h.	h.	PROPN
ijassa-604	301	10	&	&	CCONJ
ijassa-604	301	11	boyd	boyd	PROPN
ijassa-604	301	12	,	,	PUNCT
ijassa-604	301	13	s.	s.	PROPN
ijassa-604	301	14	(	(	PUNCT
ijassa-604	301	15	2003	2003	NUM
ijassa-604	301	16	)	)	PUNCT
ijassa-604	301	17	log	log	NOUN
ijassa-604	301	18	-	-	PUNCT
ijassa-604	301	19	det	det	NOUN
ijassa-604	301	20	heuristic	heuristic	NOUN
ijassa-604	301	21	for	for	ADP
ijassa-604	301	22	matrix	matrix	NOUN
ijassa-604	301	23	rank	rank	NOUN
ijassa-604	301	24	minimization	minimization	NOUN
ijassa-604	301	25	with	with	ADP
ijassa-604	301	26	applications	application	NOUN
ijassa-604	301	27	to	to	PART
ijassa-604	301	28	hankel	hankel	VERB
ijassa-604	301	29	and	and	CCONJ
ijassa-604	301	30	euclidean	euclidean	ADJ
ijassa-604	301	31	distance	distance	NOUN
ijassa-604	301	32	matrices	matrix	NOUN
ijassa-604	301	33	,	,	PUNCT
ijassa-604	301	34	proc	proc	NOUN
ijassa-604	301	35	.	.	PROPN
ijassa-604	301	36	of	of	ADP
ijassa-604	301	37	american	american	PROPN
ijassa-604	301	38	control	control	PROPN
ijassa-604	301	39	conference	conference	PROPN
ijassa-604	301	40	,	,	PUNCT
ijassa-604	301	41	2156–2162	2156–2162	NUM
ijassa-604	301	42	.	.	PUNCT
ijassa-604	302	1	5	5	NUM
ijassa-604	302	2	.	.	X
ijassa-604	302	3	grant	grant	PROPN
ijassa-604	302	4	,	,	PUNCT
ijassa-604	302	5	m.	m.	NOUN
ijassa-604	302	6	&	&	CCONJ
ijassa-604	302	7	boyd	boyd	PROPN
ijassa-604	302	8	,	,	PUNCT
ijassa-604	302	9	s.	s.	PROPN
ijassa-604	302	10	(	(	PUNCT
ijassa-604	302	11	2014	2014	NUM
ijassa-604	302	12	)	)	PUNCT
ijassa-604	302	13	cvx	cvx	PROPN
ijassa-604	302	14	:	:	PUNCT
ijassa-604	302	15	matlab	matlab	PROPN
ijassa-604	302	16	software	software	NOUN
ijassa-604	302	17	for	for	ADP
ijassa-604	302	18	disciplined	discipline	VERB
ijassa-604	302	19	convex	convex	NOUN
ijassa-604	302	20	programming	programming	NOUN
ijassa-604	302	21	,	,	PUNCT
ijassa-604	302	22	version	version	NOUN
ijassa-604	302	23	2.1	2.1	NUM
ijassa-604	302	24	,	,	PUNCT
ijassa-604	302	25	url	url	NOUN
ijassa-604	302	26	:	:	PUNCT
ijassa-604	302	27	http://cvxr.com/cvx	http://cvxr.com/cvx	PROPN
ijassa-604	302	28	.	.	PROPN
ijassa-604	303	1	6	6	NUM
ijassa-604	303	2	.	.	X
ijassa-604	303	3	hartman	hartman	PROPN
ijassa-604	303	4	,	,	PUNCT
ijassa-604	303	5	p.	p.	PROPN
ijassa-604	303	6	(	(	PUNCT
ijassa-604	303	7	1959	1959	NUM
ijassa-604	303	8	)	)	PUNCT
ijassa-604	303	9	on	on	ADP
ijassa-604	303	10	functions	function	NOUN
ijassa-604	303	11	representable	representable	ADJ
ijassa-604	303	12	as	as	ADP
ijassa-604	303	13	a	a	DET
ijassa-604	303	14	difference	difference	NOUN
ijassa-604	303	15	of	of	ADP
ijassa-604	303	16	convex	convex	NOUN
ijassa-604	303	17	functions	function	NOUN
ijassa-604	303	18	,	,	PUNCT
ijassa-604	303	19	pacific	pacific	PROPN
ijassa-604	303	20	journal	journal	NOUN
ijassa-604	303	21	of	of	ADP
ijassa-604	303	22	mathematics	mathematic	NOUN
ijassa-604	303	23	,	,	PUNCT
ijassa-604	303	24	9(3	9(3	NUM
ijassa-604	303	25	)	)	PUNCT
ijassa-604	303	26	,	,	PUNCT
ijassa-604	303	27	707–713	707–713	NUM
ijassa-604	303	28	.	.	PUNCT
ijassa-604	304	1	7	7	X
ijassa-604	304	2	.	.	X
ijassa-604	304	3	khlebnikov	khlebnikov	PROPN
ijassa-604	304	4	,	,	PUNCT
ijassa-604	304	5	m.v	m.v	PROPN
ijassa-604	304	6	.	.	PROPN
ijassa-604	304	7	,	,	PUNCT
ijassa-604	304	8	shcherbakov	shcherbakov	PROPN
ijassa-604	304	9	,	,	PUNCT
ijassa-604	304	10	p.s	p.s	PROPN
ijassa-604	304	11	.	.	PROPN
ijassa-604	304	12	&	&	CCONJ
ijassa-604	304	13	chestnov	chestnov	PROPN
ijassa-604	304	14	v.n	v.n	PROPN
ijassa-604	304	15	.	.	PUNCT
ijassa-604	304	16	(	(	PUNCT
ijassa-604	304	17	2015	2015	NUM
ijassa-604	304	18	)	)	PUNCT
ijassa-604	304	19	linear	linear	ADJ
ijassa-604	304	20	-	-	PUNCT
ijassa-604	304	21	quadratic	quadratic	ADJ
ijassa-604	304	22	regulator	regulator	NOUN
ijassa-604	304	23	.	.	PUNCT
ijassa-604	305	1	i.	i.	PROPN
ijassa-604	305	2	a	a	DET
ijassa-604	305	3	new	new	ADJ
ijassa-604	305	4	solution	solution	NOUN
ijassa-604	305	5	,	,	PUNCT
ijassa-604	305	6	autom	autom	PROPN
ijassa-604	305	7	.	.	PUNCT
ijassa-604	306	1	remote	remote	ADJ
ijassa-604	306	2	control	control	NOUN
ijassa-604	306	3	,	,	PUNCT
ijassa-604	306	4	76(12	76(12	NUM
ijassa-604	306	5	)	)	PUNCT
ijassa-604	306	6	,	,	PUNCT
ijassa-604	306	7	2143–2155	2143–2155	NUM
ijassa-604	306	8	.	.	NOUN
ijassa-604	306	9	8	8	NUM
ijassa-604	306	10	.	.	PUNCT
ijassa-604	307	1	khlebnikov	khlebnikov	PROPN
ijassa-604	307	2	,	,	PUNCT
ijassa-604	307	3	m.v	m.v	PROPN
ijassa-604	307	4	.	.	PROPN
ijassa-604	307	5	(	(	PUNCT
ijassa-604	307	6	2014	2014	NUM
ijassa-604	307	7	)	)	PUNCT
ijassa-604	307	8	an	an	DET
ijassa-604	307	9	ellipsoid	ellipsoid	NOUN
ijassa-604	307	10	approach	approach	NOUN
ijassa-604	307	11	to	to	ADP
ijassa-604	307	12	comparison	comparison	NOUN
ijassa-604	307	13	of	of	ADP
ijassa-604	307	14	quadratic	quadratic	ADJ
ijassa-604	307	15	performance	performance	NOUN
ijassa-604	307	16	criteria	criterion	NOUN
ijassa-604	307	17	,	,	PUNCT
ijassa-604	307	18	stochastic	stochastic	ADJ
ijassa-604	307	19	optimization	optimization	NOUN
ijassa-604	307	20	in	in	ADP
ijassa-604	307	21	computer	computer	NOUN
ijassa-604	307	22	science	science	NOUN
ijassa-604	307	23	,	,	PUNCT
ijassa-604	307	24	10(1	10(1	NUM
ijassa-604	307	25	)	)	PUNCT
ijassa-604	307	26	,	,	PUNCT
ijassa-604	307	27	145–156	145–156	NUM
ijassa-604	307	28	.	.	PUNCT
ijassa-604	308	1	in	in	ADP
ijassa-604	308	2	russian	russian	PROPN
ijassa-604	308	3	.	.	PUNCT
ijassa-604	309	1	9	9	X
ijassa-604	309	2	.	.	X
ijassa-604	309	3	lanckriet	lanckriet	PROPN
ijassa-604	309	4	,	,	PUNCT
ijassa-604	309	5	g.r	g.r	PROPN
ijassa-604	309	6	.	.	PROPN
ijassa-604	309	7	&	&	CCONJ
ijassa-604	309	8	rangarajan	rangarajan	PROPN
ijassa-604	309	9	,	,	PUNCT
ijassa-604	309	10	b.k	b.k	PROPN
ijassa-604	309	11	.	.	PROPN
ijassa-604	309	12	(	(	PUNCT
ijassa-604	309	13	2009	2009	NUM
ijassa-604	309	14	)	)	PUNCT
ijassa-604	309	15	on	on	ADP
ijassa-604	309	16	the	the	DET
ijassa-604	309	17	convergence	convergence	NOUN
ijassa-604	309	18	of	of	ADP
ijassa-604	309	19	the	the	DET
ijassa-604	309	20	concave	concave	ADJ
ijassa-604	309	21	-	-	PUNCT
ijassa-604	309	22	convex	convex	NOUN
ijassa-604	309	23	procedure	procedure	NOUN
ijassa-604	309	24	,	,	PUNCT
ijassa-604	309	25	advances	advance	NOUN
ijassa-604	309	26	in	in	ADP
ijassa-604	309	27	neural	neural	ADJ
ijassa-604	309	28	information	information	NOUN
ijassa-604	309	29	processing	processing	NOUN
ijassa-604	309	30	systems	system	NOUN
ijassa-604	309	31	,	,	PUNCT
ijassa-604	309	32	22	22	NUM
ijassa-604	309	33	,	,	PUNCT
ijassa-604	309	34	1759–1767	1759–1767	NUM
ijassa-604	309	35	.	.	PUNCT
ijassa-604	310	1	10	10	NUM
ijassa-604	310	2	.	.	X
ijassa-604	310	3	leibfritz	leibfritz	NOUN
ijassa-604	310	4	,	,	PUNCT
ijassa-604	310	5	f.	f.	PROPN
ijassa-604	310	6	&	&	CCONJ
ijassa-604	310	7	lipinski	lipinski	PROPN
ijassa-604	310	8	,	,	PUNCT
ijassa-604	310	9	w.	w.	PROPN
ijassa-604	310	10	(	(	PUNCT
ijassa-604	310	11	2003	2003	NUM
ijassa-604	310	12	)	)	PUNCT
ijassa-604	310	13	description	description	NOUN
ijassa-604	310	14	of	of	ADP
ijassa-604	310	15	the	the	DET
ijassa-604	310	16	benchmark	benchmark	ADJ
ijassa-604	310	17	examples	example	NOUN
ijassa-604	310	18	in	in	ADP
ijassa-604	310	19	compleib	compleib	NOUN
ijassa-604	310	20	1.0	1.0	NUM
ijassa-604	310	21	,	,	PUNCT
ijassa-604	310	22	url	url	PROPN
ijassa-604	310	23	:	:	PUNCT
ijassa-604	310	24	http://www.complib.de	http://www.complib.de	PROPN
ijassa-604	310	25	.	.	PUNCT
ijassa-604	311	1	11	11	NUM
ijassa-604	311	2	.	.	X
ijassa-604	311	3	levine	levine	PROPN
ijassa-604	311	4	,	,	PUNCT
ijassa-604	311	5	w.s	w.s	PROPN
ijassa-604	311	6	.	.	PROPN
ijassa-604	311	7	&	&	CCONJ
ijassa-604	311	8	athans	athans	PROPN
ijassa-604	311	9	,	,	PUNCT
ijassa-604	311	10	m.	m.	NOUN
ijassa-604	311	11	(	(	PUNCT
ijassa-604	311	12	1970	1970	NUM
ijassa-604	311	13	)	)	PUNCT
ijassa-604	311	14	on	on	ADP
ijassa-604	311	15	the	the	DET
ijassa-604	311	16	determination	determination	NOUN
ijassa-604	311	17	of	of	ADP
ijassa-604	311	18	the	the	DET
ijassa-604	311	19	optimal	optimal	ADJ
ijassa-604	311	20	constant	constant	ADJ
ijassa-604	311	21	output	output	NOUN
ijassa-604	311	22	feedback	feedback	NOUN
ijassa-604	311	23	gains	gain	NOUN
ijassa-604	311	24	for	for	ADP
ijassa-604	311	25	linear	linear	PROPN
ijassa-604	311	26	multivariable	multivariable	ADJ
ijassa-604	311	27	systems	system	NOUN
ijassa-604	311	28	,	,	PUNCT
ijassa-604	311	29	ieee	ieee	NOUN
ijassa-604	311	30	trans	tran	NOUN
ijassa-604	311	31	.	.	PUNCT
ijassa-604	312	1	on	on	ADP
ijassa-604	312	2	automatic	automatic	ADJ
ijassa-604	312	3	control	control	NOUN
ijassa-604	312	4	,	,	PUNCT
ijassa-604	312	5	15(1	15(1	NUM
ijassa-604	312	6	)	)	PUNCT
ijassa-604	312	7	,	,	PUNCT
ijassa-604	312	8	44–48	44–48	PROPN
ijassa-604	312	9	.	.	PUNCT
ijassa-604	313	1	12	12	NUM
ijassa-604	313	2	.	.	PUNCT
ijassa-604	314	1	lin	lin	PROPN
ijassa-604	314	2	,	,	PUNCT
ijassa-604	314	3	f.	f.	PROPN
ijassa-604	314	4	,	,	PUNCT
ijassa-604	314	5	fardad	fardad	PROPN
ijassa-604	314	6	,	,	PUNCT
ijassa-604	314	7	m.	m.	NOUN
ijassa-604	314	8	&	&	CCONJ
ijassa-604	314	9	jovanović	jovanović	ADJ
ijassa-604	314	10	,	,	PUNCT
ijassa-604	314	11	m.r	m.r	PROPN
ijassa-604	314	12	.	.	PROPN
ijassa-604	314	13	(	(	PUNCT
ijassa-604	314	14	2011	2011	NUM
ijassa-604	314	15	)	)	PUNCT
ijassa-604	314	16	augmented	augment	VERB
ijassa-604	314	17	lagrangian	lagrangian	ADJ
ijassa-604	314	18	approach	approach	NOUN
ijassa-604	314	19	to	to	ADP
ijassa-604	314	20	design	design	NOUN
ijassa-604	314	21	of	of	ADP
ijassa-604	314	22	structured	structured	ADJ
ijassa-604	314	23	optimal	optimal	ADJ
ijassa-604	314	24	state	state	NOUN
ijassa-604	314	25	feedback	feedback	NOUN
ijassa-604	314	26	gains	gain	NOUN
ijassa-604	314	27	,	,	PUNCT
ijassa-604	314	28	ieee	ieee	NOUN
ijassa-604	314	29	trans	tran	NOUN
ijassa-604	314	30	.	.	PUNCT
ijassa-604	315	1	on	on	ADP
ijassa-604	315	2	automatic	automatic	ADJ
ijassa-604	315	3	control	control	NOUN
ijassa-604	315	4	,	,	PUNCT
ijassa-604	315	5	56(12	56(12	NUM
ijassa-604	315	6	)	)	PUNCT
ijassa-604	315	7	,	,	PUNCT
ijassa-604	315	8	2923–2929	2923–2929	NUM
ijassa-604	315	9	.	.	PUNCT
ijassa-604	316	1	13	13	NUM
ijassa-604	316	2	.	.	X
ijassa-604	317	1	lin	lin	PROPN
ijassa-604	317	2	,	,	PUNCT
ijassa-604	317	3	f.	f.	PROPN
ijassa-604	317	4	,	,	PUNCT
ijassa-604	317	5	fardad	fardad	PROPN
ijassa-604	317	6	,	,	PUNCT
ijassa-604	317	7	m.	m.	NOUN
ijassa-604	317	8	&	&	CCONJ
ijassa-604	317	9	jovanović	jovanović	ADJ
ijassa-604	317	10	,	,	PUNCT
ijassa-604	317	11	m.r	m.r	PROPN
ijassa-604	317	12	.	.	PROPN
ijassa-604	317	13	(	(	PUNCT
ijassa-604	317	14	2013	2013	NUM
ijassa-604	317	15	)	)	PUNCT
ijassa-604	317	16	design	design	NOUN
ijassa-604	317	17	of	of	ADP
ijassa-604	317	18	optimal	optimal	ADJ
ijassa-604	317	19	sparse	sparse	ADJ
ijassa-604	317	20	feedback	feedback	NOUN
ijassa-604	317	21	gains	gain	NOUN
ijassa-604	317	22	via	via	ADP
ijassa-604	317	23	the	the	DET
ijassa-604	317	24	alternating	alternate	VERB
ijassa-604	317	25	direction	direction	NOUN
ijassa-604	317	26	method	method	NOUN
ijassa-604	317	27	of	of	ADP
ijassa-604	317	28	multipliers	multiplier	NOUN
ijassa-604	317	29	,	,	PUNCT
ijassa-604	317	30	ieee	ieee	NOUN
ijassa-604	317	31	trans	tran	NOUN
ijassa-604	317	32	.	.	PUNCT
ijassa-604	318	1	on	on	ADP
ijassa-604	318	2	automatic	automatic	ADJ
ijassa-604	318	3	control	control	NOUN
ijassa-604	318	4	,	,	PUNCT
ijassa-604	318	5	58(9	58(9	NOUN
ijassa-604	318	6	)	)	PUNCT
ijassa-604	318	7	,	,	PUNCT
ijassa-604	318	8	2426–2431	2426–2431	NUM
ijassa-604	318	9	.	.	PUNCT
ijassa-604	319	1	14	14	NUM
ijassa-604	319	2	.	.	PUNCT
ijassa-604	320	1	münz	münz	PROPN
ijassa-604	320	2	,	,	PUNCT
ijassa-604	320	3	u.	u.	PROPN
ijassa-604	320	4	,	,	PUNCT
ijassa-604	320	5	pfister	pfister	NOUN
ijassa-604	320	6	,	,	PUNCT
ijassa-604	320	7	m.	m.	NOUN
ijassa-604	320	8	&	&	CCONJ
ijassa-604	320	9	wolfrum	wolfrum	PROPN
ijassa-604	321	1	p.	p.	PROPN
ijassa-604	321	2	(	(	PUNCT
ijassa-604	321	3	2014	2014	NUM
ijassa-604	321	4	)	)	PUNCT
ijassa-604	321	5	sensor	sensor	NOUN
ijassa-604	321	6	and	and	CCONJ
ijassa-604	321	7	actuator	actuator	NOUN
ijassa-604	321	8	placement	placement	NOUN
ijassa-604	321	9	for	for	ADP
ijassa-604	321	10	linear	linear	PROPN
ijassa-604	321	11	systems	system	NOUN
ijassa-604	321	12	based	base	VERB
ijassa-604	321	13	onh2	onh2	NOUN
ijassa-604	321	14	andh∞	andh∞	DET
ijassa-604	321	15	optimization	optimization	NOUN
ijassa-604	321	16	,	,	PUNCT
ijassa-604	321	17	ieee	ieee	NOUN
ijassa-604	321	18	trans	tran	NOUN
ijassa-604	321	19	.	.	PUNCT
ijassa-604	322	1	on	on	ADP
ijassa-604	322	2	automatic	automatic	ADJ
ijassa-604	322	3	control	control	NOUN
ijassa-604	322	4	,	,	PUNCT
ijassa-604	322	5	59(11	59(11	NUM
ijassa-604	322	6	)	)	PUNCT
ijassa-604	322	7	,	,	PUNCT
ijassa-604	322	8	2984–2989	2984–2989	NUM
ijassa-604	322	9	.	.	PUNCT
ijassa-604	323	1	15	15	NUM
ijassa-604	323	2	.	.	X
ijassa-604	323	3	polyak	polyak	PROPN
ijassa-604	323	4	,	,	PUNCT
ijassa-604	323	5	b.	b.	PROPN
ijassa-604	323	6	,	,	PUNCT
ijassa-604	323	7	khlebnikov	khlebnikov	PROPN
ijassa-604	323	8	,	,	PUNCT
ijassa-604	323	9	m.	m.	NOUN
ijassa-604	323	10	&	&	CCONJ
ijassa-604	323	11	shcherbakov	shcherbakov	PROPN
ijassa-604	323	12	,	,	PUNCT
ijassa-604	323	13	p.	p.	NOUN
ijassa-604	323	14	(	(	PUNCT
ijassa-604	323	15	2013	2013	NUM
ijassa-604	323	16	)	)	PUNCT
ijassa-604	323	17	an	an	DET
ijassa-604	323	18	lmi	lmi	PROPN
ijassa-604	323	19	approach	approach	NOUN
ijassa-604	323	20	to	to	ADP
ijassa-604	323	21	structured	structured	ADJ
ijassa-604	323	22	sparse	sparse	ADJ
ijassa-604	323	23	feedback	feedback	NOUN
ijassa-604	323	24	design	design	NOUN
ijassa-604	323	25	in	in	ADP
ijassa-604	323	26	linear	linear	PROPN
ijassa-604	323	27	control	control	NOUN
ijassa-604	323	28	systems	system	NOUN
ijassa-604	323	29	,	,	PUNCT
ijassa-604	323	30	proc	proc	NOUN
ijassa-604	323	31	.	.	PROPN
ijassa-604	323	32	of	of	ADP
ijassa-604	323	33	european	european	PROPN
ijassa-604	323	34	control	control	PROPN
ijassa-604	323	35	conference	conference	PROPN
ijassa-604	323	36	,	,	PUNCT
ijassa-604	323	37	833–838	833–838	NUM
ijassa-604	323	38	.	.	NOUN
ijassa-604	324	1	16	16	NUM
ijassa-604	324	2	.	.	PUNCT
ijassa-604	324	3	polyak	polyak	NOUN
ijassa-604	324	4	,	,	PUNCT
ijassa-604	324	5	b.t	b.t	PROPN
ijassa-604	324	6	.	.	PROPN
ijassa-604	324	7	,	,	PUNCT
ijassa-604	324	8	khlebnikov	khlebnikov	PROPN
ijassa-604	324	9	,	,	PUNCT
ijassa-604	324	10	m.v	m.v	PROPN
ijassa-604	324	11	.	.	PROPN
ijassa-604	324	12	&	&	CCONJ
ijassa-604	324	13	shcherbakov	shcherbakov	PROPN
ijassa-604	324	14	,	,	PUNCT
ijassa-604	324	15	p.s	p.s	PROPN
ijassa-604	324	16	.	.	PROPN
ijassa-604	325	1	(	(	PUNCT
ijassa-604	325	2	2014	2014	NUM
ijassa-604	325	3	)	)	PUNCT
ijassa-604	325	4	sparse	sparse	VERB
ijassa-604	325	5	feedback	feedback	NOUN
ijassa-604	325	6	in	in	ADP
ijassa-604	325	7	linear	linear	PROPN
ijassa-604	325	8	control	control	NOUN
ijassa-604	325	9	systems	system	NOUN
ijassa-604	325	10	,	,	PUNCT
ijassa-604	325	11	autom	autom	PROPN
ijassa-604	325	12	.	.	PUNCT
ijassa-604	326	1	remote	remote	ADJ
ijassa-604	326	2	control	control	NOUN
ijassa-604	326	3	,	,	PUNCT
ijassa-604	326	4	75(12	75(12	NUM
ijassa-604	326	5	)	)	PUNCT
ijassa-604	326	6	,	,	PUNCT
ijassa-604	326	7	2099–2111	2099–2111	NUM
ijassa-604	326	8	.	.	PUNCT
ijassa-604	327	1	17	17	NUM
ijassa-604	327	2	.	.	PUNCT
ijassa-604	328	1	polyak	polyak	NOUN
ijassa-604	328	2	,	,	PUNCT
ijassa-604	328	3	b.t	b.t	PROPN
ijassa-604	328	4	.	.	PROPN
ijassa-604	328	5	,	,	PUNCT
ijassa-604	328	6	khlebnikov	khlebnikov	PROPN
ijassa-604	328	7	,	,	PUNCT
ijassa-604	328	8	m.v	m.v	PROPN
ijassa-604	328	9	.	.	PROPN
ijassa-604	328	10	&	&	CCONJ
ijassa-604	328	11	shcherbakov	shcherbakov	PROPN
ijassa-604	328	12	,	,	PUNCT
ijassa-604	328	13	p.s	p.s	PROPN
ijassa-604	328	14	.	.	PROPN
ijassa-604	329	1	(	(	PUNCT
ijassa-604	329	2	2014	2014	NUM
ijassa-604	329	3	)	)	PUNCT
ijassa-604	329	4	control	control	NOUN
ijassa-604	329	5	of	of	ADP
ijassa-604	329	6	linear	linear	PROPN
ijassa-604	329	7	systems	system	NOUN
ijassa-604	329	8	subjected	subject	VERB
ijassa-604	329	9	to	to	ADP
ijassa-604	329	10	exogenous	exogenous	ADJ
ijassa-604	329	11	disturbances	disturbance	NOUN
ijassa-604	329	12	:	:	PUNCT
ijassa-604	329	13	the	the	DET
ijassa-604	329	14	linear	linear	ADJ
ijassa-604	329	15	matrix	matrix	NOUN
ijassa-604	329	16	inequality	inequality	NOUN
ijassa-604	329	17	technique	technique	NOUN
ijassa-604	329	18	.	.	PUNCT
ijassa-604	330	1	moscow	moscow	PROPN
ijassa-604	330	2	,	,	PUNCT
ijassa-604	330	3	russia	russia	PROPN
ijassa-604	330	4	:	:	PUNCT
ijassa-604	330	5	urss	urss	VERB
ijassa-604	330	6	.	.	PUNCT
ijassa-604	331	1	in	in	ADP
ijassa-604	331	2	russian	russian	PROPN
ijassa-604	331	3	.	.	PUNCT
ijassa-604	332	1	18	18	NUM
ijassa-604	332	2	.	.	X
ijassa-604	332	3	sturm	sturm	PROPN
ijassa-604	332	4	,	,	PUNCT
ijassa-604	332	5	j.f	j.f	PROPN
ijassa-604	332	6	.	.	PROPN
ijassa-604	332	7	(	(	PUNCT
ijassa-604	332	8	1999	1999	NUM
ijassa-604	332	9	)	)	PUNCT
ijassa-604	332	10	using	use	VERB
ijassa-604	332	11	sedumi	sedumi	PROPN
ijassa-604	332	12	1.02	1.02	NUM
ijassa-604	332	13	,	,	PUNCT
ijassa-604	332	14	a	a	DET
ijassa-604	332	15	matlab	matlab	PROPN
ijassa-604	332	16	toolbox	toolbox	NOUN
ijassa-604	332	17	for	for	ADP
ijassa-604	332	18	optimization	optimization	NOUN
ijassa-604	332	19	over	over	ADP
ijassa-604	332	20	symmetric	symmetric	ADJ
ijassa-604	332	21	cones	cone	NOUN
ijassa-604	332	22	,	,	PUNCT
ijassa-604	332	23	optimization	optimization	NOUN
ijassa-604	332	24	methods	method	NOUN
ijassa-604	332	25	and	and	CCONJ
ijassa-604	332	26	software	software	NOUN
ijassa-604	332	27	,	,	PUNCT
ijassa-604	332	28	11–12	11–12	NUM
ijassa-604	332	29	,	,	PUNCT
ijassa-604	332	30	625–653	625–653	NUM
ijassa-604	332	31	.	.	NOUN
ijassa-604	332	32	19	19	NUM
ijassa-604	332	33	.	.	PUNCT
ijassa-604	333	1	toh	toh	PROPN
ijassa-604	333	2	,	,	PUNCT
ijassa-604	333	3	k.c	k.c	PROPN
ijassa-604	333	4	.	.	PROPN
ijassa-604	333	5	,	,	PUNCT
ijassa-604	333	6	todd	todd	PROPN
ijassa-604	333	7	,	,	PUNCT
ijassa-604	333	8	m.j	m.j	PROPN
ijassa-604	333	9	.	.	PROPN
ijassa-604	333	10	&	&	CCONJ
ijassa-604	333	11	tutuncu	tutuncu	PROPN
ijassa-604	333	12	,	,	PUNCT
ijassa-604	333	13	r.h	r.h	PROPN
ijassa-604	333	14	.	.	PROPN
ijassa-604	333	15	(	(	PUNCT
ijassa-604	333	16	1999	1999	NUM
ijassa-604	333	17	)	)	PUNCT
ijassa-604	333	18	sdpt3	sdpt3	NOUN
ijassa-604	333	19	–	–	PUNCT
ijassa-604	333	20	a	a	DET
ijassa-604	333	21	matlab	matlab	PROPN
ijassa-604	333	22	software	software	NOUN
ijassa-604	333	23	package	package	NOUN
ijassa-604	333	24	for	for	ADP
ijassa-604	333	25	semidefinite	semidefinite	PROPN
ijassa-604	333	26	programming	programming	NOUN
ijassa-604	333	27	,	,	PUNCT
ijassa-604	333	28	optimization	optimization	NOUN
ijassa-604	333	29	methods	method	NOUN
ijassa-604	333	30	and	and	CCONJ
ijassa-604	333	31	software	software	NOUN
ijassa-604	333	32	,	,	PUNCT
ijassa-604	333	33	11	11	NUM
ijassa-604	333	34	,	,	PUNCT
ijassa-604	333	35	545–581	545–581	NUM
ijassa-604	333	36	.	.	PUNCT
ijassa-604	334	1	20	20	NUM
ijassa-604	334	2	.	.	X
ijassa-604	334	3	vandenberghe	vandenberghe	PROPN
ijassa-604	334	4	,	,	PUNCT
ijassa-604	334	5	l.	l.	PROPN
ijassa-604	334	6	&	&	CCONJ
ijassa-604	334	7	boyd	boyd	PROPN
ijassa-604	334	8	,	,	PUNCT
ijassa-604	334	9	s.	s.	PROPN
ijassa-604	334	10	(	(	PUNCT
ijassa-604	334	11	1996	1996	NUM
ijassa-604	334	12	)	)	PUNCT
ijassa-604	334	13	semidefinite	semidefinite	PROPN
ijassa-604	334	14	programming	programming	PROPN
ijassa-604	334	15	,	,	PUNCT
ijassa-604	334	16	siam	siam	PROPN
ijassa-604	334	17	review	review	NOUN
ijassa-604	334	18	,	,	PUNCT
ijassa-604	334	19	38(1	38(1	NUM
ijassa-604	334	20	)	)	PUNCT
ijassa-604	334	21	,	,	PUNCT
ijassa-604	334	22	49–95	49–95	NUM
ijassa-604	334	23	.	.	PUNCT
ijassa-604	335	1	21	21	NUM
ijassa-604	335	2	.	.	PUNCT
ijassa-604	335	3	yuille	yuille	NOUN
ijassa-604	335	4	,	,	PUNCT
ijassa-604	335	5	a.l	a.l	PROPN
ijassa-604	335	6	.	.	PROPN
ijassa-604	335	7	&	&	CCONJ
ijassa-604	335	8	rangarajan	rangarajan	PROPN
ijassa-604	335	9	,	,	PUNCT
ijassa-604	335	10	a.	a.	NOUN
ijassa-604	335	11	(	(	PUNCT
ijassa-604	335	12	2003	2003	NUM
ijassa-604	335	13	)	)	PUNCT
ijassa-604	335	14	the	the	DET
ijassa-604	335	15	concave	concave	VERB
ijassa-604	335	16	-	-	PUNCT
ijassa-604	335	17	convex	convex	NOUN
ijassa-604	335	18	procedure	procedure	NOUN
ijassa-604	335	19	,	,	PUNCT
ijassa-604	335	20	neural	neural	ADJ
ijassa-604	335	21	computation	computation	NOUN
ijassa-604	335	22	,	,	PUNCT
ijassa-604	335	23	15	15	NUM
ijassa-604	335	24	,	,	PUNCT
ijassa-604	335	25	915–936	915–936	NUM
ijassa-604	335	26	.	.	NOUN
ijassa-604	335	27	22	22	NUM
ijassa-604	335	28	.	.	PUNCT
ijassa-604	336	1	zelazo	zelazo	PROPN
ijassa-604	336	2	,	,	PUNCT
ijassa-604	336	3	d.	d.	PROPN
ijassa-604	336	4	,	,	PUNCT
ijassa-604	336	5	schuler	schuler	NOUN
ijassa-604	336	6	,	,	PUNCT
ijassa-604	336	7	s.	s.	PROPN
ijassa-604	336	8	&	&	CCONJ
ijassa-604	336	9	allgöwer	allgöwer	PROPN
ijassa-604	336	10	f.	f.	PROPN
ijassa-604	336	11	(	(	PUNCT
ijassa-604	336	12	2013	2013	NUM
ijassa-604	336	13	)	)	PUNCT
ijassa-604	336	14	performance	performance	NOUN
ijassa-604	336	15	and	and	CCONJ
ijassa-604	336	16	design	design	NOUN
ijassa-604	336	17	of	of	ADP
ijassa-604	336	18	cycles	cycle	NOUN
ijassa-604	336	19	in	in	ADP
ijassa-604	336	20	consensus	consensus	NOUN
ijassa-604	336	21	networks	network	NOUN
ijassa-604	336	22	,	,	PUNCT
ijassa-604	336	23	systems	system	NOUN
ijassa-604	336	24	and	and	CCONJ
ijassa-604	336	25	control	control	NOUN
ijassa-604	336	26	letters	letter	NOUN
ijassa-604	336	27	,	,	PUNCT
ijassa-604	336	28	62(1	62(1	NOUN
ijassa-604	336	29	)	)	PUNCT
ijassa-604	336	30	,	,	PUNCT
ijassa-604	336	31	85–96	85–96	NUM
ijassa-604	336	32	.	.	PUNCT
ijassa-604	337	1	copyright	copyright	NOUN
ijassa-604	337	2	c	c	ADP
ijassa-604	337	3	©	©	PROPN
ijassa-604	337	4	2018	2018	NUM
ijassa-604	337	5	assa	assa	NOUN
ijassa-604	337	6	.	.	PUNCT
ijassa-604	338	1	adv	adv	PROPN
ijassa-604	338	2	syst	syst	PROPN
ijassa-604	338	3	sci	sci	PROPN
ijassa-604	338	4	appl	appl	PROPN
ijassa-604	338	5	(	(	PUNCT
ijassa-604	338	6	2018	2018	NUM
ijassa-604	338	7	)	)	PUNCT
ijassa-604	338	8	introduction	introduction	NOUN
ijassa-604	338	9	sparse	sparse	ADJ
ijassa-604	338	10	feedback	feedback	NOUN
ijassa-604	338	11	design	design	NOUN
ijassa-604	338	12	in	in	ADP
ijassa-604	338	13	optimal	optimal	ADJ
ijassa-604	338	14	control	control	NOUN
ijassa-604	338	15	problems	problem	NOUN
ijassa-604	338	16	approximations	approximation	NOUN
ijassa-604	338	17	to	to	ADP
ijassa-604	338	18	the	the	DET
ijassa-604	338	19	matrix	matrix	NOUN
ijassa-604	338	20	0	0	NUM
ijassa-604	338	21	-	-	PUNCT
ijassa-604	338	22	quasinorm	quasinorm	NOUN
ijassa-604	338	23	1	1	NUM
ijassa-604	338	24	-	-	PUNCT
ijassa-604	338	25	norm	norm	NOUN
ijassa-604	338	26	weighted	weight	VERB
ijassa-604	338	27	1	1	NUM
ijassa-604	338	28	-	-	PUNCT
ijassa-604	338	29	norm	norm	NOUN
ijassa-604	338	30	nonconvex	nonconvex	NOUN
ijassa-604	338	31	sparsity	sparsity	NOUN
ijassa-604	338	32	detector	detector	NOUN
ijassa-604	338	33	,	,	PUNCT
ijassa-604	338	34	nsd	nsd	NOUN
ijassa-604	338	35	nonconvex	nonconvex	NOUN
ijassa-604	338	36	approximation	approximation	NOUN
ijassa-604	338	37	log	log	NOUN
ijassa-604	338	38	-	-	PUNCT
ijassa-604	338	39	sum	sum	NOUN
ijassa-604	338	40	results	result	NOUN
ijassa-604	338	41	of	of	ADP
ijassa-604	338	42	numerical	numerical	ADJ
ijassa-604	338	43	experiments	experiment	NOUN
ijassa-604	338	44	examples	example	NOUN
ijassa-604	338	45	from	from	ADP
ijassa-604	338	46	compleib	compleib	NOUN
ijassa-604	338	47	mass	mass	ADJ
ijassa-604	338	48	spring	spring	NOUN
ijassa-604	338	49	system	system	NOUN
ijassa-604	338	50	conclusion	conclusion	NOUN