{"id":"https://openalex.org/W2292748924","doi":"https://doi.org/10.1109/cdc.2015.7402555","title":"Connections between stability conditions for slowly time-varying and switched linear systems","display_name":"Connections between stability conditions for slowly time-varying and switched linear systems","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2292748924","doi":"https://doi.org/10.1109/cdc.2015.7402555","mag":"2292748924"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402555","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","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/A5039926439","display_name":"Xiaobin Gao","orcid":"https://orcid.org/0000-0002-3204-1937"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaobin Gao","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086321981","display_name":"Daniel Liberzon","orcid":"https://orcid.org/0000-0003-2383-0114"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Liberzon","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100626175","display_name":"Ji Liu","orcid":"https://orcid.org/0000-0001-8227-5232"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ji Liu","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019604570","display_name":"Tamer Ba\u015far","orcid":"https://orcid.org/0000-0003-4406-7875"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tamer Ba\u015far","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0225,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81058681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2329","last_page":"2334"},"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/T11236","display_name":"Control Systems and Identification","score":0.9929999709129333,"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":0.9879999756813049,"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/dwell-time","display_name":"Dwell time","score":0.8505896329879761},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.7729671001434326},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6420921683311462},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6416717171669006},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5223273634910583},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5167824029922485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5155580043792725},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.4462960362434387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3756271004676819},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34980013966560364},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.21659350395202637},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20212432742118835},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09662830829620361}],"concepts":[{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.8505896329879761},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.7729671001434326},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6420921683311462},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6416717171669006},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5223273634910583},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5167824029922485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5155580043792725},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.4462960362434387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3756271004676819},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34980013966560364},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.21659350395202637},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20212432742118835},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09662830829620361},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C70410870","wikidata":"https://www.wikidata.org/wiki/Q199906","display_name":"Clinical psychology","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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2015.7402555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402555","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","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":12,"referenced_works":["https://openalex.org/W1533288419","https://openalex.org/W1534416612","https://openalex.org/W1900371862","https://openalex.org/W1989106803","https://openalex.org/W1995875215","https://openalex.org/W2052750286","https://openalex.org/W2062902727","https://openalex.org/W2067603665","https://openalex.org/W2075645768","https://openalex.org/W2098898086","https://openalex.org/W2153175747","https://openalex.org/W2798813531"],"related_works":["https://openalex.org/W2386430105","https://openalex.org/W2898247383","https://openalex.org/W2356521405","https://openalex.org/W1977953789","https://openalex.org/W633869025","https://openalex.org/W2384358604","https://openalex.org/W1567829292","https://openalex.org/W4224312498","https://openalex.org/W1508583995","https://openalex.org/W2170091984"],"abstract_inverted_index":{"This":[0],"paper":[1],"establishes":[2],"an":[3],"explicit":[4],"relationship":[5],"between":[6],"stability":[7,44],"conditions":[8,45],"for":[9,46],"slowly":[10,47],"time-varying":[11,48],"linear":[12,16,49,66],"systems":[13,50],"and":[14],"switched":[15,65],"systems.":[17],"The":[18],"concept":[19],"of":[20,23,33,57,77],"total":[21],"variation":[22,32],"a":[24,40,54,64],"matrix-valued":[25],"function":[26],"is":[27,51,61,68,81],"introduced":[28],"to":[29],"characterize":[30],"the":[31,34,73,78,90],"system":[35,67],"matrix.":[36],"Using":[37],"this":[38,58],"concept,":[39],"result":[41],"generalizing":[42],"existing":[43],"derived.":[52],"As":[53],"special":[55],"case":[56],"result,":[59],"it":[60],"shown":[62],"that":[63],"globally":[69],"exponentially":[70],"stable":[71],"if":[72],"average":[74],"dwell":[75],"time":[76],"switching":[79],"signal":[80],"large":[82],"enough,":[83],"which":[84],"qualitatively":[85],"matches":[86],"known":[87],"results":[88],"in":[89],"literature.":[91]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}