{"id":"https://openalex.org/W2154558755","doi":"https://doi.org/10.1109/acc.2003.1242565","title":"A convex relaxation approach to multivariable state-space frequency response approximation","display_name":"A convex relaxation approach to multivariable state-space frequency response approximation","publication_year":2004,"publication_date":"2004-02-03","ids":{"openalex":"https://openalex.org/W2154558755","doi":"https://doi.org/10.1109/acc.2003.1242565","mag":"2154558755"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2003.1242565","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1242565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","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/A5046503002","display_name":"E. van der Meche","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"E. van der Meche","raw_affiliation_strings":["Mechanical Engineering Systems and Control Group, Delft University of Technnology, Delft, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Systems and Control Group, Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108425404","display_name":"\u041e.H. Bosgra","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"O. Bosgra","raw_affiliation_strings":["Mechanical Engineering Systems and Control Group, Delft University of Technnology, Delft, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering Systems and Control Group, Delft University of Technnology, Delft, Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":0.8774,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81827176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"5274","last_page":"5279"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998999834060669,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11233","display_name":"Advanced Adaptive Filtering Techniques","score":0.9994000196456909,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.7131708264350891},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.6895391941070557},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6565436720848083},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5996566414833069},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5823866724967957},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5753999948501587},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5076442956924438},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.49630290269851685},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4786471128463745},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4665749967098236},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.45928147435188293},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.455545574426651},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4387474060058594},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43565088510513306},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.39389312267303467},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36006200313568115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2789703905582428},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06321445107460022}],"concepts":[{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.7131708264350891},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.6895391941070557},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6565436720848083},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5996566414833069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5823866724967957},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5753999948501587},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5076442956924438},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.49630290269851685},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4786471128463745},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4665749967098236},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.45928147435188293},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.455545574426651},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4387474060058594},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43565088510513306},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.39389312267303467},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36006200313568115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2789703905582428},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06321445107460022},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2003.1242565","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1242565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 American Control Conference, 2003.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1516405618","https://openalex.org/W1563898868","https://openalex.org/W1586841203","https://openalex.org/W1949005869","https://openalex.org/W1982886044","https://openalex.org/W2007466948","https://openalex.org/W2017669536","https://openalex.org/W2078411489","https://openalex.org/W2101416545","https://openalex.org/W2104735009","https://openalex.org/W2137957116","https://openalex.org/W2139252798","https://openalex.org/W2164618750","https://openalex.org/W2165110431","https://openalex.org/W2618060055","https://openalex.org/W2671225493","https://openalex.org/W3210839039","https://openalex.org/W4285719527","https://openalex.org/W6640579884","https://openalex.org/W6684234096","https://openalex.org/W6738213823","https://openalex.org/W6739831855"],"related_works":["https://openalex.org/W4381623700","https://openalex.org/W1977769785","https://openalex.org/W2526014012","https://openalex.org/W2268002914","https://openalex.org/W2180491952","https://openalex.org/W2765710841","https://openalex.org/W2169860649","https://openalex.org/W2047757139","https://openalex.org/W1601341493","https://openalex.org/W828813279"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"an":[3,42],"algorithm":[4],"is":[5,25,38,47],"presented":[6],"for":[7],"a":[8,28,50],"parametric":[9],"state-space":[10],"H/sub":[11],"/spl":[12],"infin//":[13],"frequency":[14],"response":[15],"approximation":[16],"using":[17],"convex":[18,36],"optimization.":[19],"This":[20],"inherently":[21],"nonconvex":[22],"optimization":[23,33],"problem":[24],"rewritten":[26],"as":[27],"bilinear":[29],"matrix":[30],"inequality":[31],"(BMI)":[32],"problem.":[34],"A":[35],"relaxation":[37],"proposed":[39],"together":[40],"with":[41],"iterative":[43],"approach.":[44],"The":[45],"approach":[46],"demonstrated":[48],"by":[49],"simple,":[51],"multivariable":[52],"example.":[53]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}