{"id":"https://openalex.org/W2912390630","doi":"https://doi.org/10.1109/cdc.2018.8619364","title":"Global Stability and Asymptotic Gain Imply Input-to-State Stability for State-Dependent Switched Systems","display_name":"Global Stability and Asymptotic Gain Imply Input-to-State Stability for State-Dependent Switched Systems","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2912390630","doi":"https://doi.org/10.1109/cdc.2018.8619364","mag":"2912390630"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 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/A5017797974","display_name":"Shenyu Liu","orcid":"https://orcid.org/0000-0002-4880-8848"},"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":"Shenyu Liu","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, U.S.A","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","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, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, U.S.A","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.124,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80329615,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2360","last_page":"2365"},"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":0.9991000294685364,"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":0.9991000294685364,"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":0.9919000267982483,"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":0.980400025844574,"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/exponential-stability","display_name":"Exponential stability","score":0.8243144750595093},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6966155767440796},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.686253011226654},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6499950885772705},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5904591083526611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5824161171913147},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5793901681900024},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5456441640853882},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4385879337787628},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23268574476242065},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18841567635536194},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11913686990737915},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09865343570709229},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09077483415603638},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0729587972164154}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.8243144750595093},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6966155767440796},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.686253011226654},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6499950885772705},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5904591083526611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5824161171913147},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5793901681900024},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5456441640853882},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4385879337787628},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23268574476242065},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18841567635536194},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11913686990737915},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09865343570709229},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09077483415603638},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0729587972164154},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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/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/cdc.2018.8619364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 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":22,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1569239057","https://openalex.org/W1592648094","https://openalex.org/W1936925215","https://openalex.org/W1973889336","https://openalex.org/W1985235885","https://openalex.org/W2006940338","https://openalex.org/W2017493230","https://openalex.org/W2041326027","https://openalex.org/W2048143221","https://openalex.org/W2064214036","https://openalex.org/W2096792342","https://openalex.org/W2110761557","https://openalex.org/W2134078068","https://openalex.org/W2151136609","https://openalex.org/W2162767308","https://openalex.org/W2165626406","https://openalex.org/W2766962200","https://openalex.org/W2912390630","https://openalex.org/W4255043376","https://openalex.org/W4293078920","https://openalex.org/W6640621173"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W2074717584","https://openalex.org/W4285551356","https://openalex.org/W327603423","https://openalex.org/W3042530036","https://openalex.org/W4246323976","https://openalex.org/W2072647272","https://openalex.org/W2897741391"],"abstract_inverted_index":{"In":[0],"this":[1,49,96],"paper":[2],"we":[3,51],"study":[4],"several":[5],"stability":[6,19,45,58,64],"properties":[7],"for":[8,65],"state-dependent":[9,66],"switched":[10,67],"systems.":[11],"We":[12],"examine":[13],"the":[14,40,71,75],"gap":[15],"between":[16,42],"global":[17,22,57],"asymptotic":[18,23,60],"and":[20,25,59,93],"uniform":[21],"stability,":[24],"illustrate":[26],"it":[27],"with":[28],"an":[29,84],"example.":[30],"Several":[31],"regularity":[32],"assumptions":[33],"are":[34,52],"proposed":[35],"in":[36,89],"order":[37],"to":[38,54],"obtain":[39],"equivalence":[41],"these":[43],"two":[44],"properties.":[46],"Based":[47],"on":[48],"equivalence,":[50],"able":[53],"show":[55],"that":[56,95],"gain":[61],"imply":[62],"input-to-state":[63],"systems,":[68],"which":[69,87],"is":[70,98],"main":[72],"result":[73],"of":[74,80],"paper.":[76],"The":[77],"proof":[78],"consists":[79],"a":[81,90],"bypass":[82],"via":[83],"auxiliary":[85],"system":[86,97],"takes":[88],"bounded":[91],"disturbance,":[92],"showing":[94],"uniformly":[99],"globally":[100],"asymptotically":[101],"stable.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
