{"id":"https://openalex.org/W2146492929","doi":"https://doi.org/10.1109/cdc.2007.4434432","title":"&amp;#x210B;&lt;inf&gt;2&lt;/inf&gt; dynamic output feedback scheduled controllers for linear time-varying polytopic systems: A convex LMI approach","display_name":"&amp;#x210B;&lt;inf&gt;2&lt;/inf&gt; dynamic output feedback scheduled controllers for linear time-varying polytopic systems: A convex LMI approach","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2146492929","doi":"https://doi.org/10.1109/cdc.2007.4434432","mag":"2146492929"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434432","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5042288069","display_name":"Vin\u00edcius F. Montagner","orcid":"https://orcid.org/0000-0003-1260-7486"},"institutions":[{"id":"https://openalex.org/I33501960","display_name":"Universidade Federal de Santa Maria","ror":"https://ror.org/01b78mz79","country_code":"BR","type":"education","lineage":["https://openalex.org/I33501960"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Vinicius F. Montagner","raw_affiliation_strings":["Power Electronics and Control Research Group, Federal University of Santa Maria, Santa Maria, Rio Grande do Sul, Brazil","Fed. Univ. of Santa Maria, Santa Maria"],"affiliations":[{"raw_affiliation_string":"Power Electronics and Control Research Group, Federal University of Santa Maria, Santa Maria, Rio Grande do Sul, Brazil","institution_ids":["https://openalex.org/I33501960"]},{"raw_affiliation_string":"Fed. Univ. of Santa Maria, Santa Maria","institution_ids":["https://openalex.org/I33501960"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030639194","display_name":"Renato Alves Borges","orcid":"https://orcid.org/0000-0002-6072-8621"},"institutions":[{"id":"https://openalex.org/I169521973","display_name":"University of New Mexico","ror":"https://ror.org/05fs6jp91","country_code":"US","type":"education","lineage":["https://openalex.org/I169521973"]},{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR","US"],"is_corresponding":false,"raw_author_name":"Renato A. Borges","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of New Mexico, USA","School of Electrical and Computer Engineering, University of Campinas, CP 6101, 13081-970, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of New Mexico, USA","institution_ids":["https://openalex.org/I169521973"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas, CP 6101, 13081-970, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067189335","display_name":"Pedro L. D. Peres","orcid":"https://orcid.org/0000-0002-6371-7338"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Pedro L. D. Peres","raw_affiliation_strings":["School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","School of Electrical and Computer Engineering, University of Campinas, CP 6101, 13081-970, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, University of Campinas, CP 6101, 13081-970, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042288069"],"corresponding_institution_ids":["https://openalex.org/I33501960"],"apc_list":null,"apc_paid":null,"fwci":0.8709,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81731608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"2785","last_page":"2790"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9898999929428101,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9710000157356262,"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/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.7646575570106506},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6814440488815308},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.6167029738426208},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5892744064331055},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5434163212776184},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.5187956690788269},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48896777629852295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48815542459487915},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4812628924846649},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4422377347946167},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43883898854255676},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4180183708667755},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41672617197036743},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40158146619796753},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27562984824180603},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.21410003304481506},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1754629909992218},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1209496259689331}],"concepts":[{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.7646575570106506},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6814440488815308},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.6167029738426208},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5892744064331055},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5434163212776184},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.5187956690788269},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48896777629852295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48815542459487915},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4812628924846649},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4422377347946167},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43883898854255676},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4180183708667755},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41672617197036743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40158146619796753},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27562984824180603},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.21410003304481506},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1754629909992218},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1209496259689331},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434432","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434432","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1505506151","https://openalex.org/W1507813890","https://openalex.org/W1547135986","https://openalex.org/W1565020978","https://openalex.org/W1581443122","https://openalex.org/W1596319129","https://openalex.org/W2004989683","https://openalex.org/W2007784570","https://openalex.org/W2020038588","https://openalex.org/W2020562832","https://openalex.org/W2027300760","https://openalex.org/W2031711324","https://openalex.org/W2038730444","https://openalex.org/W2044464896","https://openalex.org/W2059626897","https://openalex.org/W2068680862","https://openalex.org/W2082483338","https://openalex.org/W2101837637","https://openalex.org/W2115424783","https://openalex.org/W2119811431","https://openalex.org/W2136601076","https://openalex.org/W2140507637","https://openalex.org/W2147964837","https://openalex.org/W2169141493","https://openalex.org/W2171827148","https://openalex.org/W2173165070","https://openalex.org/W2764448323","https://openalex.org/W3210839039","https://openalex.org/W6685021327"],"related_works":["https://openalex.org/W1995089671","https://openalex.org/W204654546","https://openalex.org/W1990911204","https://openalex.org/W2069107464","https://openalex.org/W2768257653","https://openalex.org/W2557288725","https://openalex.org/W3012067785","https://openalex.org/W2953024136","https://openalex.org/W4243575619","https://openalex.org/W1607687497"],"abstract_inverted_index":{"This":[0],"paper":[1],"provides":[2],"a":[3,43,70,126,132,162,175,178],"convex":[4,71,127],"condition":[5],"to":[6,23,42,131,160,171,181],"design":[7,51,65,120],"dynamic":[8,58],"output":[9],"feedback":[10],"scheduled":[11],"controllers":[12],"which":[13,60,93],"ensure":[14],"the":[15,24,47,50,63,82,88,99,110,113,119,145,148,151,157,172,187,190],"closed-loop":[16],"stability":[17],"and":[18,106],"minimize":[19],"an":[20,169],"upper":[21],"bound":[22],"H":[25,54],"<sub":[26,55],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27,56],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[28,57],"norm":[29],"for":[30,49],"linear":[31,72,136],"systems":[32],"whose":[33],"matrices":[34,84],"are":[35,61,85],"affected":[36,86],"by":[37,87,108],"arbitrarily":[38,96],"time-varying":[39,91],"parameters":[40,92],"belonging":[41],"polytope.":[44,100],"Differently":[45],"from":[46],"conditions":[48],"of":[52,90,103,112,135,144,147,153,164,174,177,184,189],"robust":[53],"controllers,":[59],"nonconvex,":[62],"proposed":[64,191],"is":[66,116],"entirely":[67],"based":[68],"on":[69],"matrix":[73,137],"inequality":[74,138],"optimization":[75,128],"procedure.":[76],"Moreover,":[77],"in":[78,142,156],"this":[79],"paper,":[80],"all":[81],"system":[83],"vector":[89],"can":[94,122],"vary":[95],"fast":[97],"inside":[98],"By":[101],"means":[102],"variable":[104],"elimination":[105],"also":[107],"exploiting":[109],"positivity":[111],"parameters,":[114],"it":[115],"shown":[117],"that":[118],"problem":[121,129],"be":[123],"expressed":[124],"as":[125],"subject":[130,180],"finite":[133],"number":[134],"constraints":[139],"formulated":[140],"only":[141],"terms":[143],"vertices":[146],"polytope,":[149],"avoiding":[150],"use":[152],"exhaustive":[154],"gridding":[155],"parameter":[158],"space":[159],"compute":[161],"family":[163],"controllers.":[165],"Numerical":[166],"examples,":[167],"including":[168],"application":[170],"control":[173],"model":[176],"helicopter":[179],"abrupt":[182],"failures":[183],"actuator,":[185],"illustrate":[186],"efficiency":[188],"approach.":[192]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}