{"id":"https://openalex.org/W4285784323","doi":"https://doi.org/10.1109/tac.2019.2897547","title":"Lyapunov Conditions for Input-to-State Stability of Hybrid Systems With Memory","display_name":"Lyapunov Conditions for Input-to-State Stability of Hybrid Systems With Memory","publication_year":2019,"publication_date":"2019-02-04","ids":{"openalex":"https://openalex.org/W4285784323","doi":"https://doi.org/10.1109/tac.2019.2897547"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2019.2897547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2897547","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/A5058087521","display_name":"Wei Ren","orcid":"https://orcid.org/0000-0002-3300-0993"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Wei Ren","raw_affiliation_strings":["Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021953090","display_name":"Junlin Xiong","orcid":"https://orcid.org/0000-0002-0128-4960"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junlin Xiong","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058087521"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.3326,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.630618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"64","issue":"10","first_page":"4307","last_page":"4313"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9988999962806702,"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":0.9973000288009644,"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/lyapunov-function","display_name":"Lyapunov function","score":0.7764451503753662},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7433164715766907},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.6121570467948914},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.5977557897567749},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.59486985206604},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5827081203460693},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.562009334564209},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5146756768226624},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.5114216208457947},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.4852333068847656},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4323573410511017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2977895140647888},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21959152817726135},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12191236019134521},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.0974513590335846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0640728771686554},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05505800247192383}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7764451503753662},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7433164715766907},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.6121570467948914},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.5977557897567749},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.59486985206604},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5827081203460693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.562009334564209},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5146756768226624},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.5114216208457947},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.4852333068847656},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4323573410511017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2977895140647888},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21959152817726135},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12191236019134521},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.0974513590335846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0640728771686554},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05505800247192383},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2019.2897547","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2019.2897547","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/G8402072916","display_name":null,"funder_award_id":"61773357","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1569239057","https://openalex.org/W1970334147","https://openalex.org/W2003504842","https://openalex.org/W2019289371","https://openalex.org/W2027526023","https://openalex.org/W2029420344","https://openalex.org/W2038116673","https://openalex.org/W2038137192","https://openalex.org/W2052837562","https://openalex.org/W2058765561","https://openalex.org/W2087276939","https://openalex.org/W2095838924","https://openalex.org/W2112248103","https://openalex.org/W2116633469","https://openalex.org/W2134078068","https://openalex.org/W2141333364","https://openalex.org/W2147974763","https://openalex.org/W2165626406","https://openalex.org/W2199915884","https://openalex.org/W2277160815","https://openalex.org/W2410693848","https://openalex.org/W2414555924","https://openalex.org/W2536236449","https://openalex.org/W2598182031","https://openalex.org/W2963779046"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2284157877","https://openalex.org/W1789972284","https://openalex.org/W1983507234","https://openalex.org/W2534107666","https://openalex.org/W1986563546","https://openalex.org/W3194517843","https://openalex.org/W1979419366","https://openalex.org/W2411577087"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"input-to-state":[3,31],"stability":[4],"for":[5,30,41],"hybrid":[6,12],"systems":[7],"with":[8],"memory,":[9],"which":[10],"models":[11],"dynamics":[13],"affected":[14],"by":[15],"time":[16],"delays.":[17],"Using":[18],"both":[19],"Lyapunov-Razumikhin":[20],"functions":[21,55],"and":[22,37,50],"Lyapunov-Krasovskii":[23],"functionals,":[24],"Lyapunov-based":[25],"sufficient":[26],"conditions":[27],"are":[28,39,65],"established":[29],"stability.":[32],"In":[33],"addition,":[34],"further":[35],"extensions":[36],"relaxations":[38],"proposed":[40],"special":[42],"cases,":[43],"such":[44],"as":[45],"the":[46,51,69],"stable":[47],"flow/jump":[48],"cases":[49,52],"that":[53],"Lyapunov":[54],"do":[56],"not":[57],"decrease":[58],"strictly":[59],"during":[60],"flow/jumps.":[61],"Finally,":[62],"two":[63],"examples":[64],"used":[66],"to":[67],"illustrate":[68],"developed":[70],"results.":[71]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
