{"id":"https://openalex.org/W1561314618","doi":"https://doi.org/10.1109/cdc.2003.1272249","title":"A new LMI condition for the robust stability of linear time-varying systems","display_name":"A new LMI condition for the robust stability of linear time-varying systems","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1561314618","doi":"https://doi.org/10.1109/cdc.2003.1272249","mag":"1561314618"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1272249","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["BR","US"],"is_corresponding":false,"raw_author_name":"V.F. Montagner","raw_affiliation_strings":["EECS Department, University of California Berkeley, USA","School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS Department, University of California Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, 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":"P.L.D. Peres","raw_affiliation_strings":["School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, State University of Campinas-UNICAMP, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":2,"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":37,"citation_normalized_percentile":{"value":0.96574886,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"6133","last_page":"6138"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.987500011920929,"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":0.9814000129699707,"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":0.6762197613716125},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6637966632843018},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6014660000801086},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5649417638778687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5579951405525208},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5569216012954712},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.509681224822998},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.461315393447876},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4420342743396759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42331624031066895},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41519221663475037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3520936667919159},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13076412677764893},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.12242269515991211},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07978898286819458}],"concepts":[{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6762197613716125},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6637966632843018},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6014660000801086},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5649417638778687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5579951405525208},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5569216012954712},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.509681224822998},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.461315393447876},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4420342743396759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42331624031066895},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41519221663475037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3520936667919159},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13076412677764893},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.12242269515991211},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07978898286819458},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2003.1272249","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W14096389","https://openalex.org/W188866077","https://openalex.org/W1506246857","https://openalex.org/W1589786325","https://openalex.org/W1855336155","https://openalex.org/W2007444716","https://openalex.org/W2022525756","https://openalex.org/W2035136053","https://openalex.org/W2043463312","https://openalex.org/W2062902727","https://openalex.org/W2068617307","https://openalex.org/W2096681792","https://openalex.org/W2099303527","https://openalex.org/W2099309131","https://openalex.org/W2110331379","https://openalex.org/W2116676017","https://openalex.org/W2146447376","https://openalex.org/W2148926497","https://openalex.org/W2156278823","https://openalex.org/W2166598655","https://openalex.org/W2173165070","https://openalex.org/W2178412471","https://openalex.org/W2180693152","https://openalex.org/W2480207201","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W1808520126","https://openalex.org/W2020788389","https://openalex.org/W2291706033","https://openalex.org/W2054171707","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W1716629940","https://openalex.org/W4387410785","https://openalex.org/W2045015574"],"abstract_inverted_index":{"A":[0],"new":[1],"sufficient":[2],"condition":[3,26],"for":[4,110],"the":[5,42,46,54,60,65,90,95,99,111],"robust":[6,24],"stability":[7,25,78,112],"of":[8,19,31,45,62,64,98,114,117],"linear":[9,20],"systems":[10],"with":[11],"time-varying":[12,66],"polytopic":[13],"uncertainty":[14],"is":[15,27],"given":[16],"in":[17,94],"terms":[18],"matrix":[21],"inequalities.":[22],"The":[23],"assured":[28],"by":[29],"means":[30],"a":[32,73,107,115],"parameter":[33],"dependent":[34],"Lyapunov":[35],"function,":[36],"taking":[37],"into":[38],"account":[39],"bounds":[40,52],"on":[41,53,59],"time":[43],"derivatives":[44],"uncertain":[47,67,100],"parameters.":[48],"Using":[49],"line":[50],"search,":[51],"magnitude":[55],"as":[56,58],"well":[57],"rates":[61],"change":[63],"parameters":[68,101],"can":[69,102],"be":[70,103],"determined":[71],"solving":[72],"convex":[74],"problem,":[75],"encompassing":[76],"quadratic":[77],"results":[79],"and":[80],"providing":[81,106],"less":[82],"conservative":[83],"evaluation":[84],"than":[85],"other":[86],"similar":[87],"methods":[88],"from":[89],"literature.":[91],"Moreover,":[92],"constraints":[93],"dynamic":[96],"behavior":[97],"easily":[104],"handled,":[105],"useful":[108],"tool":[109],"analysis":[113],"class":[116],"nonideal":[118],"switched":[119],"systems.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
