{"id":"https://openalex.org/W1531494965","doi":"https://doi.org/10.1109/cdc.2002.1184263","title":"Regional stability of a class of nonlinear hybrid systems: an LMI approach","display_name":"Regional stability of a class of nonlinear hybrid systems: an LMI approach","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1531494965","doi":"https://doi.org/10.1109/cdc.2002.1184263","mag":"1531494965"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184263","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5068876101","display_name":"S. Palomina Bean","orcid":null},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"S. Palomina Bean","raw_affiliation_strings":["Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012031694","display_name":"Daniel Coutinho","orcid":"https://orcid.org/0000-0002-4249-1288"},"institutions":[{"id":"https://openalex.org/I45643870","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio Grande do Sul","ror":"https://ror.org/025vmq686","country_code":"BR","type":"education","lineage":["https://openalex.org/I45643870"]},{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"D.F. Coutinho","raw_affiliation_strings":["Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Santa Catarina, Brazil","Department of Electrical Engineering, PUCRS, Porto Alegre, Rio Grande do Sul, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]},{"raw_affiliation_string":"Department of Electrical Engineering, PUCRS, Porto Alegre, Rio Grande do Sul, Brazil","institution_ids":["https://openalex.org/I45643870"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065282452","display_name":"Alexandre Trofino","orcid":"https://orcid.org/0000-0002-2432-1007"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A. Trofino","raw_affiliation_strings":["Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Santa Catarina, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041838419","display_name":"Jos\u00e9 E.R. Cury","orcid":"https://orcid.org/0000-0001-7740-8539"},"institutions":[{"id":"https://openalex.org/I4104125","display_name":"Universidade Federal de Santa Catarina","ror":"https://ror.org/041akq887","country_code":"BR","type":"education","lineage":["https://openalex.org/I4104125"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J.E.R. Cury","raw_affiliation_strings":["Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Santa Catarina, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Automation and Systems, Universidade Federal de Santa Catarina, Florianopolis, Santa Catarina, Brazil","institution_ids":["https://openalex.org/I4104125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5068876101"],"corresponding_institution_ids":["https://openalex.org/I4104125"],"apc_list":null,"apc_paid":null,"fwci":0.8095,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76508086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"2786","last_page":"2791"},"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":0.9944000244140625,"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":0.9944000244140625,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7116373777389526},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6311090588569641},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.563028872013092},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5380927920341492},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5244941115379333},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5047475099563599},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5012459754943848},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.49340835213661194},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.4796862304210663},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.476126492023468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4267951548099518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.419364869594574},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3915475010871887},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3212626576423645},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23729899525642395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15949541330337524},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08937147259712219}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7116373777389526},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6311090588569641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.563028872013092},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5380927920341492},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5244941115379333},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5047475099563599},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5012459754943848},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.49340835213661194},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.4796862304210663},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.476126492023468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4267951548099518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.419364869594574},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3915475010871887},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3212626576423645},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23729899525642395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15949541330337524},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08937147259712219},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184263","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184263","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/W1547820487","https://openalex.org/W1592648094","https://openalex.org/W1839270056","https://openalex.org/W1933967923","https://openalex.org/W1977079497","https://openalex.org/W1995454290","https://openalex.org/W2032173185","https://openalex.org/W2066491633","https://openalex.org/W2079161626","https://openalex.org/W2091182896","https://openalex.org/W2104957613","https://openalex.org/W2119596529","https://openalex.org/W2160269310","https://openalex.org/W2563864686","https://openalex.org/W3210839039","https://openalex.org/W4249284361","https://openalex.org/W4293078920","https://openalex.org/W6638492336"],"related_works":["https://openalex.org/W2142014702","https://openalex.org/W3009543351","https://openalex.org/W2348315137","https://openalex.org/W2383844134","https://openalex.org/W3093305317","https://openalex.org/W2374198922","https://openalex.org/W2889599571","https://openalex.org/W1833822726","https://openalex.org/W2798137860","https://openalex.org/W2065958989"],"abstract_inverted_index":{"This":[0,50],"paper":[1],"presents":[2],"sufficient":[3],"conditions":[4,95],"to":[5],"the":[6,18,33,73,77,82,98,102],"regional":[7],"stability":[8,100],"problem":[9],"of":[10,13,32,48,52,68,76,101,109],"a":[11,29,66,86,106],"class":[12,51],"nonlinear":[14,20,23,103],"hybrid":[15],"systems":[16,53],"in":[17,79],"piecewise":[19],"form.":[21],"The":[22],"local":[24,74,99],"models":[25],"are":[26,45],"defined":[27],"by":[28,57],"differential":[30],"equation":[31],"type":[34],"x/spl":[35,58],"dot/=A/sub":[36],"i/(x)x+b/sub":[37],"i/(x),":[38],"where":[39],"A/sub":[40],"i/(x)":[41,44],"and":[42],"b/sub":[43],"affine":[46],"functions":[47],"x.":[49],"is":[54],"equivalently":[55],"represented":[56],"dot/=A(x,/spl":[59],"delta/)x+b(x,/spl":[60],"delta/)":[61],"with":[62,81,105],"/spl":[63],"delta/":[64],"denoting":[65],"vector":[67],"logical":[69],"variables":[70],"that":[71,96],"modifies":[72],"model":[75],"system":[78,104],"accordance":[80],"continuous":[83],"dynamics.":[84],"Using":[85],"single":[87],"polynomial":[88],"Lyapunov":[89],"function,":[90],"v(x)=x'P(x)x,":[91],"we":[92],"present":[93],"LMI":[94],"assure":[97],"guaranteed":[107],"domain":[108],"attraction.":[110]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
