{"id":"https://openalex.org/W2142808662","doi":"https://doi.org/10.1109/cdc.2009.5400699","title":"A unified approach to analysis of switched linear descriptor systems under arbitrary switching","display_name":"A unified approach to analysis of switched linear descriptor systems under arbitrary switching","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2142808662","doi":"https://doi.org/10.1109/cdc.2009.5400699","mag":"2142808662"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400699","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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/A5046218317","display_name":"Guisheng Zhai","orcid":"https://orcid.org/0000-0001-5073-9485"},"institutions":[{"id":"https://openalex.org/I15807432","display_name":"Osaka Prefecture University","ror":"https://ror.org/02cf1je33","country_code":"JP","type":"education","lineage":["https://openalex.org/I15807432"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Guisheng Zhai","raw_affiliation_strings":["Department of Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","Department of Mechanical Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Osaka Prefecture University, Sakai, 599-8531, Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072462741","display_name":"Xuping Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I177449303","display_name":"California Baptist University","ror":"https://ror.org/04yj19304","country_code":"US","type":"education","lineage":["https://openalex.org/I177449303"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xuping Xu","raw_affiliation_strings":["Department of Electrical and Computer Engineering, California Baptist University, Riverside, CA, USA","Department of Electrical and Computer Engineering, California Baptist University, Riverside, 92504, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, California Baptist University, Riverside, CA, USA","institution_ids":["https://openalex.org/I177449303"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, California Baptist University, Riverside, 92504, USA","institution_ids":["https://openalex.org/I177449303"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046218317"],"corresponding_institution_ids":["https://openalex.org/I15807432"],"apc_list":null,"apc_paid":null,"fwci":6.8888,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.96558466,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"35","issue":null,"first_page":"3897","last_page":"3902"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.98580002784729,"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":0.9710000157356262,"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/lyapunov-function","display_name":"Lyapunov function","score":0.7161651253700256},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6306829452514648},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5957275629043579},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5413423180580139},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48904165625572205},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4761107861995697},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41724249720573425},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4159000515937805},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4064006209373474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3938361704349518},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3537662625312805},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3230980634689331},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2677311301231384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26509571075439453},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12907442450523376},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08003351092338562},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07620850205421448},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0705086886882782}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7161651253700256},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6306829452514648},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5957275629043579},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5413423180580139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48904165625572205},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4761107861995697},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41724249720573425},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4159000515937805},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4064006209373474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3938361704349518},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3537662625312805},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3230980634689331},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2677311301231384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26509571075439453},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12907442450523376},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08003351092338562},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07620850205421448},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0705086886882782},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400699","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","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":27,"referenced_works":["https://openalex.org/W658474564","https://openalex.org/W1444485383","https://openalex.org/W1552094772","https://openalex.org/W1797963256","https://openalex.org/W1977351303","https://openalex.org/W1980044969","https://openalex.org/W1995063858","https://openalex.org/W2004829965","https://openalex.org/W2025928021","https://openalex.org/W2037864725","https://openalex.org/W2038354034","https://openalex.org/W2096211606","https://openalex.org/W2096492432","https://openalex.org/W2102915379","https://openalex.org/W2104958104","https://openalex.org/W2114276697","https://openalex.org/W2118741873","https://openalex.org/W2132427735","https://openalex.org/W2135526457","https://openalex.org/W2140986135","https://openalex.org/W2143181390","https://openalex.org/W2145511008","https://openalex.org/W2163922724","https://openalex.org/W2313679167","https://openalex.org/W2322637817","https://openalex.org/W2492575127","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W4309710663","https://openalex.org/W4292026839","https://openalex.org/W4327639156","https://openalex.org/W4283708569","https://openalex.org/W2116865742","https://openalex.org/W2081579710","https://openalex.org/W2483377186","https://openalex.org/W1966034175","https://openalex.org/W2054171707","https://openalex.org/W1716629940"],"abstract_inverted_index":{"We":[0,43],"establish":[1],"a":[2,49,75],"unified":[3],"approach":[4,29],"to":[5],"stability":[6,55,81],"and":[7,25,82,98],"L":[8,84,102],"<sub":[9,85,103],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,86,104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[11,87,105],"gain":[12,88,106],"analysis":[13,111],"for":[14,54,80,120],"switched":[15,61,94,121],"linear":[16,39,122],"descriptor":[17],"systems":[18],"under":[19,65,107],"arbitrary":[20,66,108],"switching":[21],"in":[22],"both":[23],"continuous-time":[24],"discrete-time":[26],"domains.":[27],"The":[28,110],"is":[30,48,63,74,96],"based":[31],"on":[32],"common":[33,50,76],"quadratic":[34,51,77],"Lyapunov":[35,52,78],"functions":[36],"incorporated":[37],"with":[38],"matrix":[40],"inequalities":[41],"(LMIs).":[42],"show":[44,70],"that":[45,71],"if":[46,72],"there":[47,73],"function":[53,79],"of":[56,89,116],"all":[57,90],"subsystems,":[58,91],"then":[59,92],"the":[60,93,100,117],"system":[62,95],"stable":[64,97],"switching.":[67,109],"Furthermore,":[68],"we":[69],"certain":[83],"has":[99],"same":[101],"results":[112,119],"are":[113],"natural":[114],"extensions":[115],"existing":[118],"state":[123],"space":[124],"systems.":[125]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}