{"id":"https://openalex.org/W2145873939","doi":"https://doi.org/10.1109/iscas.2005.1465304","title":"Stability Analysis for Switched Systems with Continuous-Time and Discrete-Time Subsystems: A Lie Algebraic Approach","display_name":"Stability Analysis for Switched Systems with Continuous-Time and Discrete-Time Subsystems: A Lie Algebraic Approach","publication_year":2005,"publication_date":"2005-07-27","ids":{"openalex":"https://openalex.org/W2145873939","doi":"https://doi.org/10.1109/iscas.2005.1465304","mag":"2145873939"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2005.1465304","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2005.1465304","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Symposium on Circuits and Systems","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 Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","Dept. Mech. Eng., Osaka Prefecture Univ., Japan"],"affiliations":[{"raw_affiliation_string":"Department Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Dept. Mech. Eng., Osaka Prefecture Univ., Japan","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["Department Electrical & Computer Engineering, University of Illinois, Chicago, IL, USA","University of Illinois at Chicago"],"affiliations":[{"raw_affiliation_string":"Department Electrical & Computer Engineering, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"University of Illinois at Chicago","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085081035","display_name":"Joe Imae","orcid":null},"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":false,"raw_author_name":"J. Imae","raw_affiliation_strings":["Department Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","Osaka  prefecture University"],"affiliations":[{"raw_affiliation_string":"Department Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Osaka  prefecture University","institution_ids":["https://openalex.org/I15807432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103012127","display_name":"Tomoaki Kobayashi","orcid":"https://orcid.org/0009-0006-7147-9997"},"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":false,"raw_author_name":"T. Kobayashi","raw_affiliation_strings":["Department Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","Osaka  prefecture University"],"affiliations":[{"raw_affiliation_string":"Department Mechanical Engineering, Osaka Prefecture University, Sakai, Osaka, Japan","institution_ids":["https://openalex.org/I15807432"]},{"raw_affiliation_string":"Osaka  prefecture University","institution_ids":["https://openalex.org/I15807432"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046218317"],"corresponding_institution_ids":["https://openalex.org/I15807432"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.14155176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"3183","last_page":"3186"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9940000176429749,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9918000102043152,"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/lie-algebra","display_name":"Lie algebra","score":0.6268628239631653},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5830176472663879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5463824272155762},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5441523790359497},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5189021229743958},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.515370786190033},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4656456410884857},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4648033678531647},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44919607043266296},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44130077958106995},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.392559677362442},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2966066896915436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17101159691810608},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08654829859733582}],"concepts":[{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.6268628239631653},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5830176472663879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5463824272155762},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5441523790359497},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5189021229743958},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.515370786190033},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4656456410884857},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4648033678531647},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44919607043266296},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44130077958106995},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.392559677362442},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2966066896915436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17101159691810608},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08654829859733582},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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/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/iscas.2005.1465304","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2005.1465304","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Symposium on Circuits and Systems","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":17,"referenced_works":["https://openalex.org/W60668364","https://openalex.org/W301328986","https://openalex.org/W1552094772","https://openalex.org/W1563446057","https://openalex.org/W1995063858","https://openalex.org/W1995454290","https://openalex.org/W2029112850","https://openalex.org/W2102247555","https://openalex.org/W2104958104","https://openalex.org/W2109709801","https://openalex.org/W2142160248","https://openalex.org/W2143181390","https://openalex.org/W2145511008","https://openalex.org/W2322637817","https://openalex.org/W2618561253","https://openalex.org/W4244380134","https://openalex.org/W6675344992"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2756324413","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W1965992231","https://openalex.org/W3102460617","https://openalex.org/W2050693590","https://openalex.org/W1990502710","https://openalex.org/W2159479095"],"abstract_inverted_index":{"We":[0],"analyze":[1],"stability":[2],"for":[3,48],"switched":[4,54],"systems":[5],"which":[6],"are":[7,31],"composed":[8],"of":[9],"both":[10],"continuous-time":[11],"and":[12,34,51],"discrete-time":[13],"subsystems.":[14],"By":[15],"considering":[16],"a":[17,43],"Lie":[18,36],"algebra":[19,37],"generated":[20],"by":[21],"all":[22,29,49],"subsystem":[23],"matrices,":[24],"we":[25],"show":[26],"that":[27],"if":[28],"subsystems":[30,50],"Hurwitz/Schur":[32],"stable":[33,58],"this":[35],"is":[38,42,56,65],"solvable,":[39],"then":[40],"there":[41],"common":[44],"quadratic":[45],"Lyapunov":[46],"function":[47],"thus":[52],"the":[53,69],"system":[55],"exponentially":[57],"under":[59],"arbitrary":[60],"switching.":[61],"A":[62],"numerical":[63],"example":[64],"provided":[66],"to":[67],"demonstrate":[68],"result.":[70]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}