{"id":"https://openalex.org/W2141419812","doi":"https://doi.org/10.1109/acc.2003.1239125","title":"An improved LMI condition for robust D-stability of uncertain polytopic systems","display_name":"An improved LMI condition for robust D-stability of uncertain polytopic systems","publication_year":2004,"publication_date":"2004-01-23","ids":{"openalex":"https://openalex.org/W2141419812","doi":"https://doi.org/10.1109/acc.2003.1239125","mag":"2141419812"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2003.1239125","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1239125","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/A5064000548","display_name":"Valter J. S. Leite","orcid":"https://orcid.org/0000-0002-8177-4547"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V.J.S. Leite","raw_affiliation_strings":["UNED, Divinopolis, Minas Gerais, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UNED, Divinopolis, Minas Gerais, Brazil","institution_ids":[]}]},{"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":"P.L.D. Peres","raw_affiliation_strings":["DT-FEEC-UNICAMP, Sao Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DT-FEEC-UNICAMP, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.8982,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.96890758,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"833","last_page":"838"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9901999831199646,"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":0.9897000193595886,"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/polytope","display_name":"Polytope","score":0.8997219204902649},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.7189735770225525},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.705170750617981},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.638445258140564},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5294739007949829},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5237345695495605},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4964056611061096},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4383561909198761},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4051264524459839},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3889559507369995},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3770493268966675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23848730325698853},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15112367272377014},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10215181112289429},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08049675822257996},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06428992748260498}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8997219204902649},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.7189735770225525},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.705170750617981},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.638445258140564},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5294739007949829},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5237345695495605},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4964056611061096},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4383561909198761},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4051264524459839},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3889559507369995},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3770493268966675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23848730325698853},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15112367272377014},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10215181112289429},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08049675822257996},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06428992748260498},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2003.1239125","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2003.1239125","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":[{"id":"https://metadata.un.org/sdg/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W188866077","https://openalex.org/W1506246857","https://openalex.org/W1547135986","https://openalex.org/W2035136053","https://openalex.org/W2035833389","https://openalex.org/W2039867272","https://openalex.org/W2042741865","https://openalex.org/W2051114549","https://openalex.org/W2055319245","https://openalex.org/W2063973166","https://openalex.org/W2073514351","https://openalex.org/W2092932037","https://openalex.org/W2099303527","https://openalex.org/W2110331379","https://openalex.org/W2115424783","https://openalex.org/W2116676017","https://openalex.org/W2146447376","https://openalex.org/W2148926497","https://openalex.org/W2161900170","https://openalex.org/W2588912823","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W2507185596","https://openalex.org/W1493684871","https://openalex.org/W4286224459","https://openalex.org/W2886567582","https://openalex.org/W4289703404","https://openalex.org/W4387265813","https://openalex.org/W2054171707","https://openalex.org/W1716629940","https://openalex.org/W2161468807"],"abstract_inverted_index":{"A":[0],"sufficient":[1],"condition":[2,50],"for":[3],"robust":[4],"D-stability":[5],"of":[6,31,34,42],"linear":[7,21,35,47],"systems":[8],"with":[9],"polytope":[10],"type":[11],"uncertainties":[12],"is":[13,17],"proposed.":[14],"The":[15],"result":[16],"based":[18,54,62],"on":[19,55,63],"a":[20,32],"parameter":[22],"dependent":[23],"Lyapunov":[24],"function":[25],"obtained":[26],"from":[27],"the":[28,40,43],"feasibility":[29],"test":[30],"set":[33],"matrix":[36,48],"inequalities":[37,57],"defined":[38],"at":[39],"vertices":[41],"polytope.":[44],"This":[45],"improved":[46],"inequality":[49],"encompasses":[51],"previous":[52],"results":[53,61],"additional":[56],"as":[58,60,66],"well":[59],"extra":[64],"variables,":[65],"illustrated":[67],"by":[68],"numerical":[69],"examples.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}