{"id":"https://openalex.org/W1621047323","doi":"https://doi.org/10.23919/ecc.2013.6669578","title":"An LMI approach to structured sparse feedback design in linear control systems","display_name":"An LMI approach to structured sparse feedback design in linear control systems","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1621047323","doi":"https://doi.org/10.23919/ecc.2013.6669578","mag":"1621047323"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669578","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108818320","display_name":"Boris Polyak","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Boris Polyak","raw_affiliation_strings":["Laboratory of Adaptive and Robust Control Systems, Russian Academy of Sciences, Moscow, Russia","Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Laboratory of Adaptive and Robust Control Systems, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044624605","display_name":"M. V. Khlebnikov","orcid":"https://orcid.org/0000-0001-9086-1426"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Mikhail Khlebnikov","raw_affiliation_strings":["Laboratory of Adaptive and Robust Control Systems, Russian Academy of Sciences, Moscow, Russia","Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Laboratory of Adaptive and Robust Control Systems, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030456599","display_name":"Pavel Shcherbakov","orcid":"https://orcid.org/0000-0002-4033-2507"},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Pavel Shcherbakov","raw_affiliation_strings":["Laboratory of Adaptive and Robust Control Systems, Russian Academy of Sciences, Moscow, Russia","Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Laboratory of Adaptive and Robust Control Systems, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Lab. of Adaptive & Robust Control Syst., Inst. of Control Sci., Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108818320"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210157430"],"apc_list":null,"apc_paid":null,"fwci":11.7476,"has_fulltext":false,"cited_by_count":119,"citation_normalized_percentile":{"value":0.99039189,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"833","last_page":"838"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.660553514957428},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.579537034034729},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5770725011825562},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5739011168479919},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5509330034255981},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5151951909065247},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49346935749053955},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46117791533470154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4568936824798584},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44033390283584595},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4140772223472595},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36254528164863586},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23777258396148682},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07944193482398987}],"concepts":[{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.660553514957428},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.579537034034729},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5770725011825562},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5739011168479919},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5509330034255981},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5151951909065247},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49346935749053955},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46117791533470154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4568936824798584},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44033390283584595},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4140772223472595},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36254528164863586},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23777258396148682},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07944193482398987},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669578","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W299921089","https://openalex.org/W393433841","https://openalex.org/W1502806252","https://openalex.org/W1924735344","https://openalex.org/W1969729070","https://openalex.org/W1989422231","https://openalex.org/W1997272744","https://openalex.org/W2047092297","https://openalex.org/W2053627353","https://openalex.org/W2074054045","https://openalex.org/W2075341894","https://openalex.org/W2089700840","https://openalex.org/W2135046866","https://openalex.org/W2161367843","https://openalex.org/W2161374719","https://openalex.org/W2266447120","https://openalex.org/W2296616510","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2381242807","https://openalex.org/W3126131230","https://openalex.org/W2347541121","https://openalex.org/W2080951048","https://openalex.org/W4288804799","https://openalex.org/W3032237421","https://openalex.org/W2390346111","https://openalex.org/W3011883280","https://openalex.org/W2369082698","https://openalex.org/W2401808953"],"abstract_inverted_index":{"Consider":[0],"the":[1,7,24,64,81,84,89,92,99,130,143,160],"classical":[2],"state":[3],"feedback":[4],"design":[5,100,113],"in":[6,107,126,140,179],"linear":[8],"system":[9],"\u1e8b":[10],"=":[11,29],"Ax":[12],"+":[13],"Bu":[14],"subject":[15,74],"to":[16,44,53,75,104,156,170],"performance":[17],"specifications":[18],"with":[19,159],"an":[20,51],"additional":[21],"requirement":[22],"that":[23],"control":[25,178],"input":[26],"vector":[27],"u":[28],"Kx":[30],"has":[31],"as":[32,36,45],"many":[33,127],"zero":[34],"entries":[35,147],"possible.":[37],"The":[38,78,94,117,164],"corresponding":[39],"gain":[40],"K":[41],"is":[42,83,152],"referred":[43],"a":[46,70],"row-sparse":[47],"controller.":[48],"We":[49],"propose":[50],"approach":[52,165],"approximate":[54],"solution":[55],"of":[56,59,69,80,91,101,119,132,145,174],"this":[57],"kind":[58],"nonconvex":[60],"problems":[61,173],"by":[62,149],"formulating":[63],"proper":[65],"convex":[66],"surrogate,-the":[67],"minimization":[68],"certain":[71],"matrix":[72],"norm":[73],"LMI":[76],"constraints.":[77],"novelty":[79],"paper":[82],"problem":[85],"formulation":[86],"itself":[87],"and":[88,111,176],"construction":[90],"surrogate.":[93],"two":[95],"main":[96],"contributions":[97],"are":[98,123],"low-dimensional":[102],"output":[103,109],"be":[105,167],"used":[106],"static":[108],"feedback,":[110],"suboptimal":[112],"illustrated":[114],"via":[115],"LQR.":[116],"results":[118],"preliminary":[120],"numerical":[121],"experiments":[122],"twofold.":[124],"First,":[125],"test":[128],"problems,":[129],"number":[131,144],"controls":[133],"was":[134],"considerably":[135],"reduced":[136],"without":[137],"significant":[138],"loss":[139],"performance.":[141],"Second,":[142],"nonzero":[146],"obtained":[148],"our":[150],"method":[151],"either":[153],"very":[154],"close":[155],"or":[157],"coincide":[158],"minimum":[161],"possible":[162],"amount.":[163],"can":[166],"further":[168],"extended":[169],"handle":[171],"numerous":[172],"optimal":[175],"robust":[177],"sparse":[180],"formulation.":[181]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":21},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
