{"id":"https://openalex.org/W2150947959","doi":"https://doi.org/10.1109/acc.2006.1656438","title":"Stability of switched systems with time-varying delays: delay-dependent common Lyapunov functional approach","display_name":"Stability of switched systems with time-varying delays: delay-dependent common Lyapunov functional approach","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2150947959","doi":"https://doi.org/10.1109/acc.2006.1656438","mag":"2150947959"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2006.1656438","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1656438","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","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/A5084255459","display_name":"Yuan Sun","orcid":"https://orcid.org/0000-0002-4453-8932"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Gong Sun","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","Department of Mathematics, Qufu Normal University, Qufu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Department of Mathematics, Qufu Normal University, Qufu, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100447536","display_name":"Long Wang","orcid":"https://orcid.org/0000-0001-5600-8157"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Long Wang","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044920558","display_name":"Guangming Xie","orcid":"https://orcid.org/0000-0001-6504-0087"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangming Xie","raw_affiliation_strings":["Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.1798,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.99402854,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":null,"first_page":"6 pp.","last_page":"6 pp."},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9958999752998352,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9883999824523926,"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/control-theory","display_name":"Control theory (sociology)","score":0.750201940536499},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7133984565734863},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.6005725264549255},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.499636173248291},{"id":"https://openalex.org/keywords/lyapunov-optimization","display_name":"Lyapunov optimization","score":0.4801977872848511},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.47646427154541016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47550636529922485},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.44126197695732117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.423003613948822},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.4133971333503723},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22093462944030762},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.20452848076820374},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10283219814300537}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.750201940536499},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7133984565734863},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.6005725264549255},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.499636173248291},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.4801977872848511},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.47646427154541016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47550636529922485},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.44126197695732117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.423003613948822},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4133971333503723},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22093462944030762},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.20452848076820374},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10283219814300537},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2006.1656438","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1656438","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American 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":32,"referenced_works":["https://openalex.org/W655369222","https://openalex.org/W1547514605","https://openalex.org/W1590955918","https://openalex.org/W1607633954","https://openalex.org/W1966161771","https://openalex.org/W1968452087","https://openalex.org/W1983156283","https://openalex.org/W1995063858","https://openalex.org/W2006385243","https://openalex.org/W2031287463","https://openalex.org/W2038788041","https://openalex.org/W2047716543","https://openalex.org/W2051591980","https://openalex.org/W2061859684","https://openalex.org/W2074718261","https://openalex.org/W2102802181","https://openalex.org/W2103680539","https://openalex.org/W2103974645","https://openalex.org/W2125335329","https://openalex.org/W2140746930","https://openalex.org/W2143181390","https://openalex.org/W2145511008","https://openalex.org/W2153027817","https://openalex.org/W2154510168","https://openalex.org/W2164153476","https://openalex.org/W2168252363","https://openalex.org/W2168413510","https://openalex.org/W2417903161","https://openalex.org/W2463908258","https://openalex.org/W4211202937","https://openalex.org/W4237454804","https://openalex.org/W4251481403"],"related_works":["https://openalex.org/W2383986032","https://openalex.org/W2534107666","https://openalex.org/W2349796700","https://openalex.org/W1975178315","https://openalex.org/W3217133416","https://openalex.org/W3194517843","https://openalex.org/W2164487476","https://openalex.org/W2118944249","https://openalex.org/W2210722882","https://openalex.org/W2054171707"],"abstract_inverted_index":{"By":[0],"using":[1],"a":[2],"descriptor":[3],"system":[4],"approach":[5],"and":[6,52],"the":[7,15,40,43,53,60],"linear":[8,25],"matrix":[9],"inequality":[10],"(LMI)":[11],"technique,":[12],"we":[13,38],"investigate":[14],"problem":[16],"of":[17,33],"delay-dependent":[18,44],"common":[19,45,55],"Lyapunov":[20,46,56],"functions":[21,47,57],"(DCLFs)":[22],"for":[23,48,59],"switched":[24,49],"systems":[26,51,62],"with":[27],"mode-dependent":[28],"delays.":[29,64],"The":[30],"main":[31],"contribution":[32],"this":[34],"paper":[35],"is":[36],"that":[37],"establish":[39],"relationship":[41],"between":[42],"delay":[50],"well-known":[54],"(CLFs)":[58],"corresponding":[61],"without":[63]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
