{"id":"https://openalex.org/W2118640233","doi":"https://doi.org/10.1109/cdc.2004.1428978","title":"Representation of switched systems by perturbed control systems","display_name":"Representation of switched systems by perturbed control systems","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2118640233","doi":"https://doi.org/10.1109/cdc.2004.1428978","mag":"2118640233"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2004.1428978","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1428978","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5074357393","display_name":"J.L. Mancilla-Aguilar","orcid":"https://orcid.org/0000-0003-1248-1983"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"J.L. Mancilla-Aguilar","raw_affiliation_strings":["Department of Mathematics, Faculty of Engineering, University of Buenos Aires, Argentina","Dept. of Math., Buenos Aires Univ., Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Engineering, University of Buenos Aires, Argentina","institution_ids":["https://openalex.org/I24354313"]},{"raw_affiliation_string":"Dept. of Math., Buenos Aires Univ., Argentina","institution_ids":["https://openalex.org/I24354313"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033242656","display_name":"Rafael Garc\u00eda","orcid":"https://orcid.org/0000-0002-1681-6229"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I4210133962","display_name":"Instituto Tecnol\u00f3gico de Buenos Aires (ITBA)","ror":"https://ror.org/02qwadn23","country_code":"AR","type":"education","lineage":["https://openalex.org/I4210133962"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"R. Garcia","raw_affiliation_strings":["Department of Physics & Mathematics of the Instituto Tecnol\u00f3gico de Buenos Aires and the Faculty of Engineering, University of Buenos Aires, Argentina","Universidad de Buenos Aires"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics & Mathematics of the Instituto Tecnol\u00f3gico de Buenos Aires and the Faculty of Engineering, University of Buenos Aires, Argentina","institution_ids":["https://openalex.org/I4210133962"]},{"raw_affiliation_string":"Universidad de Buenos Aires","institution_ids":["https://openalex.org/I24354313"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068753451","display_name":"Eduardo D. Sontag","orcid":"https://orcid.org/0000-0001-8020-5783"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Sontag","raw_affiliation_strings":["Department of Mathematics, Rutgers University, New Brunswick, NJ, USA","School of Arts and Sciences, Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rutgers University, New Brunswick, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"School of Arts and Sciences, Mathematics","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024437562","display_name":"Y. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I63772739","display_name":"Florida Atlantic University","ror":"https://ror.org/05p8w6387","country_code":"US","type":"education","lineage":["https://openalex.org/I63772739"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Wang","raw_affiliation_strings":["Department of Mathematics, Florida Atlantic University, FL, USA","Florida Atlantic University #TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida Atlantic University, FL, USA","institution_ids":["https://openalex.org/I63772739"]},{"raw_affiliation_string":"Florida Atlantic University #TAB#","institution_ids":["https://openalex.org/I63772739"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9773,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71965965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"131","issue":null,"first_page":"3259","last_page":"3264 Vol.3"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.996399998664856,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9957000017166138,"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/differential-inclusion","display_name":"Differential inclusion","score":0.7258650064468384},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.7197092175483704},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6428549289703369},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.624778151512146},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5232904553413391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5153124332427979},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5121109485626221},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.4859660863876343},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.44576868414878845},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4294060170650482},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4170219898223877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4131011664867401},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4125460982322693},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18053221702575684},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.17156332731246948},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08283019065856934},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07632815837860107},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07496660947799683}],"concepts":[{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.7258650064468384},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7197092175483704},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6428549289703369},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.624778151512146},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5232904553413391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5153124332427979},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5121109485626221},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.4859660863876343},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.44576868414878845},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4294060170650482},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4170219898223877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4131011664867401},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4125460982322693},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18053221702575684},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17156332731246948},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08283019065856934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07632815837860107},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07496660947799683},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2004.1428978","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2004.1428978","pdf_url":null,"source":{"id":"https://openalex.org/S4363608267","display_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1936925215","https://openalex.org/W1995063858","https://openalex.org/W1995156490","https://openalex.org/W2035506160","https://openalex.org/W2058653097","https://openalex.org/W2068090013","https://openalex.org/W2091869118","https://openalex.org/W2109600251","https://openalex.org/W2118741873","https://openalex.org/W2120666720","https://openalex.org/W2126726109","https://openalex.org/W4300345401"],"related_works":["https://openalex.org/W1969702143","https://openalex.org/W4205608640","https://openalex.org/W2529877681","https://openalex.org/W3034240491","https://openalex.org/W2057820893","https://openalex.org/W2168383058","https://openalex.org/W2164703465","https://openalex.org/W2143247663","https://openalex.org/W1864017312","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"work":[1],"provides":[2],"representations":[3],"of":[4,14,29,46,53,60,67],"switched":[5,73],"systems":[6,17,79],"described":[7],"by":[8,22,84],"controlled":[9],"differential":[10,23],"inclusions,":[11],"in":[12,38,58],"terms":[13,59],"perturbed":[15],"control":[16],"whose":[18,26],"dynamics":[19],"are":[20,63],"given":[21],"equations,":[24],"and":[25,52,55,75],"inputs":[27,51],"consist":[28],"the":[30,68],"original":[31],"controls":[32],"together":[33],"with":[34,44,48,80],"disturbances":[35],"that":[36],"evolve":[37],"compact":[39],"sets.":[40],"Several":[41],"applications":[42],"dealing":[43],"properties":[45],"stability":[47],"respect":[49],"to":[50],"detectability,":[54],"their":[56],"characterizations":[57],"Lyapunov":[61],"functions,":[62],"derived":[64],"as":[65],"consequences":[66],"representation":[69],"theorem":[70],"for":[71,78],"such":[72],"systems,":[74],"more":[76],"generally,":[77],"switching":[81],"signals":[82],"governed":[83],"digraphs.":[85]},"counts_by_year":[{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}