{"id":"https://openalex.org/W3109582701","doi":"https://doi.org/10.1109/tac.2020.3042482","title":"A Matrosov Theorem for Hybrid Systems With Memory","display_name":"A Matrosov Theorem for Hybrid Systems With Memory","publication_year":2020,"publication_date":"2020-12-03","ids":{"openalex":"https://openalex.org/W3109582701","doi":"https://doi.org/10.1109/tac.2020.3042482","mag":"3109582701"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3042482","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3042482","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-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/A5080320023","display_name":"Kun\u2010Zhi Liu","orcid":"https://orcid.org/0000-0002-4657-8997"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Kun-Zhi Liu","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA 93106, USA","Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0002-4657-8997","affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA 93106, USA","institution_ids":["https://openalex.org/I154570441","https://openalex.org/I4210140143"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074231575","display_name":"Xuefang Wang","orcid":"https://orcid.org/0000-0001-8104-4408"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Xue-Fang Wang","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA 93106, USA","Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0001-8104-4408","affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA 93106, USA","institution_ids":["https://openalex.org/I154570441","https://openalex.org/I4210140143"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002737786","display_name":"Andrew R. Teel","orcid":"https://orcid.org/0000-0002-6508-0879"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]},{"id":"https://openalex.org/I4210140143","display_name":"Dynamic Systems (United States)","ror":"https://ror.org/043vm9914","country_code":"US","type":"company","lineage":["https://openalex.org/I4210140143"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew R. Teel","raw_affiliation_strings":["Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA 93106, USA"],"raw_orcid":"https://orcid.org/0000-0002-6508-0879","affiliations":[{"raw_affiliation_string":"Center for Control, Dynamical Systems, and Computation, University of California, Santa Barbara, CA 93106, USA","institution_ids":["https://openalex.org/I154570441","https://openalex.org/I4210140143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008939878","display_name":"Xi\u2010Ming Sun","orcid":"https://orcid.org/0000-0002-1883-3495"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi-Ming Sun","raw_affiliation_strings":["Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, China"],"raw_orcid":"https://orcid.org/0000-0002-1883-3495","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100678225","display_name":"Jun Liu","orcid":"https://orcid.org/0000-0001-8762-2299"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jun Liu","raw_affiliation_strings":["Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada"],"raw_orcid":"https://orcid.org/0000-0001-8762-2299","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1178,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.44694213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"66","issue":"10","first_page":"4918","last_page":"4925"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9991000294685364,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9894000291824341,"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/hybrid-system","display_name":"Hybrid system","score":0.6386367678642273},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6255801916122437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6000393629074097},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5279649496078491},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5225529074668884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.51591956615448},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3579808175563812},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2616989016532898},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06364709138870239}],"concepts":[{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6386367678642273},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6255801916122437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6000393629074097},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5279649496078491},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5225529074668884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.51591956615448},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3579808175563812},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2616989016532898},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06364709138870239},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2020.3042482","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3042482","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2452615238","display_name":null,"funder_award_id":"FA9550-18-1-0246","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4159240227","display_name":null,"funder_award_id":"2018YFB1700102","funder_id":"https://openalex.org/F4320336026","funder_display_name":"National Key Research and Development Program of China Stem Cell and Translational Research"},{"id":"https://openalex.org/G6968696837","display_name":null,"funder_award_id":"61773086","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7976933639","display_name":null,"funder_award_id":"61803070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W85072216","https://openalex.org/W130083205","https://openalex.org/W1506119886","https://openalex.org/W1569239057","https://openalex.org/W1925209146","https://openalex.org/W1982267787","https://openalex.org/W1983443185","https://openalex.org/W1998173386","https://openalex.org/W2017467722","https://openalex.org/W2018754548","https://openalex.org/W2021679764","https://openalex.org/W2027526023","https://openalex.org/W2038116673","https://openalex.org/W2047993072","https://openalex.org/W2066680215","https://openalex.org/W2071026238","https://openalex.org/W2073858617","https://openalex.org/W2084828843","https://openalex.org/W2087276939","https://openalex.org/W2116633469","https://openalex.org/W2121072950","https://openalex.org/W2145415070","https://openalex.org/W2151914528","https://openalex.org/W2159451349","https://openalex.org/W2199915884","https://openalex.org/W2313800697","https://openalex.org/W2343409113","https://openalex.org/W2410693848","https://openalex.org/W2414555924","https://openalex.org/W2581677842","https://openalex.org/W2755019762","https://openalex.org/W2801842574","https://openalex.org/W2921091460","https://openalex.org/W2963779046","https://openalex.org/W4240729697"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2142048021","https://openalex.org/W2383529437","https://openalex.org/W2134075948","https://openalex.org/W2756324413","https://openalex.org/W830369380","https://openalex.org/W2081245100","https://openalex.org/W2145579992","https://openalex.org/W2006894716","https://openalex.org/W2014288333"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"stability":[3,34,75],"problems":[4],"are":[5,13,60],"investigated":[6],"for":[7,35,90],"hybrid":[8,17,37,91],"systems":[9,18,38,92],"with":[10,39,42,93],"memory,":[11],"which":[12],"developed":[14,89],"to":[15,30,100],"model":[16],"affected":[19],"by":[20],"time":[21],"delays.":[22],"A":[23],"nested":[24,71],"Matrosov":[25,67],"functional":[26,46],"theorem":[27],"is":[28,98],"proposed":[29,80],"guarantee":[31],"uniform":[32,73],"asymptotic":[33,74],"time-varying":[36],"memory.":[40,94],"Specifically,":[41],"a":[43],"weak":[44],"Lyapunov":[45],"whose":[47,54],"derivative":[48],"in":[49,56],"the":[50,57,84,102,105],"flow":[51],"set":[52,59],"and":[53],"difference":[55],"jump":[58],"negative":[61],"semidefinite,":[62],"if":[63],"there":[64],"exist":[65],"some":[66],"functionals":[68],"that":[69],"satisfy":[70],"conditions,":[72],"can":[76],"be":[77],"asserted.":[78],"The":[79],"result":[81],"benefits":[82],"from":[83],"concept":[85],"of":[86,104],"generalized":[87],"solutions":[88],"Finally,":[95],"an":[96],"example":[97],"given":[99],"show":[101],"effectiveness":[103],"result.":[106]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}