{"id":"https://openalex.org/W7123339817","doi":"https://doi.org/10.1109/cdc57313.2025.11312529","title":"Stability Verification for Switched Systems using Neural Multiple Lyapunov Functions","display_name":"Stability Verification for Switched Systems using Neural Multiple Lyapunov Functions","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123339817","doi":"https://doi.org/10.1109/cdc57313.2025.11312529"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312529","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th 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/A5122005931","display_name":"Junyue Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153682","display_name":"Intelligent Health (United Kingdom)","ror":"https://ror.org/0576zak10","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210153682"]},{"id":"https://openalex.org/I4210130203","display_name":"Intelligent Automation (United States)","ror":"https://ror.org/02fwb6r86","country_code":"US","type":"company","lineage":["https://openalex.org/I4210130203"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Junyue Huang","raw_affiliation_strings":["School of Automation and Intelligent Sensing,Shanghai,China,200240"],"affiliations":[{"raw_affiliation_string":"School of Automation and Intelligent Sensing,Shanghai,China,200240","institution_ids":["https://openalex.org/I4210130203","https://openalex.org/I4210153682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122865365","display_name":"Shaoyuan Li","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153682","display_name":"Intelligent Health (United Kingdom)","ror":"https://ror.org/0576zak10","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210153682"]},{"id":"https://openalex.org/I4210130203","display_name":"Intelligent Automation (United States)","ror":"https://ror.org/02fwb6r86","country_code":"US","type":"company","lineage":["https://openalex.org/I4210130203"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Shaoyuan Li","raw_affiliation_strings":["School of Automation and Intelligent Sensing,Shanghai,China,200240"],"affiliations":[{"raw_affiliation_string":"School of Automation and Intelligent Sensing,Shanghai,China,200240","institution_ids":["https://openalex.org/I4210130203","https://openalex.org/I4210153682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122879564","display_name":"Xiang Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210153682","display_name":"Intelligent Health (United Kingdom)","ror":"https://ror.org/0576zak10","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210153682"]},{"id":"https://openalex.org/I4210130203","display_name":"Intelligent Automation (United States)","ror":"https://ror.org/02fwb6r86","country_code":"US","type":"company","lineage":["https://openalex.org/I4210130203"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Xiang Yin","raw_affiliation_strings":["School of Automation and Intelligent Sensing,Shanghai,China,200240"],"affiliations":[{"raw_affiliation_string":"School of Automation and Intelligent Sensing,Shanghai,China,200240","institution_ids":["https://openalex.org/I4210130203","https://openalex.org/I4210153682"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5122005931"],"corresponding_institution_ids":["https://openalex.org/I4210130203","https://openalex.org/I4210153682"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.71252021,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"299","last_page":"304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.16459999978542328,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.16459999978542328,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.10620000213384628,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.08460000157356262,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6816999912261963},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6273999810218811},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5781999826431274},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5687999725341797},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.546999990940094},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5198000073432922},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.3488999903202057}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6816999912261963},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6273999810218811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5884000062942505},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5781999826431274},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5687999725341797},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.546999990940094},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5198000073432922},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.3488999903202057},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.3440999984741211},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.3059000074863434},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.3043999969959259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28119999170303345},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.26440000534057617},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.2612999975681305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312529","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th 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":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Stability":[0],"analysis":[1,47],"of":[2,70,76,86],"switched":[3,49,125],"systems,":[4],"characterized":[5],"by":[6],"multiple":[7,24,58],"operational":[8],"modes":[9],"and":[10,90,110,117],"switching":[11,53],"signals,":[12],"is":[13,36],"challenging":[14],"due":[15],"to":[16,98],"their":[17,33],"nonlinear":[18],"dynamics.":[19],"While":[20],"frameworks":[21],"such":[22],"as":[23],"Lyapunov":[25,59,78],"functions":[26,60,79,89],"(MLF)":[27],"provide":[28],"a":[29,62,84,91],"foundation":[30],"for":[31,38,48,120],"analysis,":[32,112],"computational":[34,74],"applicability":[35],"limited":[37],"systems":[39,50],"without":[40],"favorable":[41],"structure.":[42],"This":[43],"paper":[44],"investigates":[45],"stability":[46],"under":[51],"state-dependent":[52],"conditions.":[54,106],"We":[55],"propose":[56],"neural":[57,77,100],"(NMLF),":[61],"unified":[63],"framework":[64],"that":[65,102],"combines":[66],"the":[67,73],"theoretical":[68,111],"guarantees":[69],"MLF":[71,105],"with":[72],"efficiency":[75],"(NLF).":[80],"Our":[81],"approach":[82],"leverages":[83],"set":[85],"tailored":[87],"loss":[88],"counter-example":[92],"guided":[93],"inductive":[94],"synthesis":[95],"(CEGIS)":[96],"scheme":[97],"train":[99],"networks":[101],"rigorously":[103],"satisfy":[104],"Through":[107],"comprehensive":[108],"simulations":[109],"we":[113],"demonstrate":[114],"NMLF\u2019s":[115],"effectiveness":[116],"its":[118],"potential":[119],"practical":[121],"deployment":[122],"in":[123],"complex":[124],"systems.":[126]},"counts_by_year":[],"updated_date":"2026-01-14T00:46:21.520733","created_date":"2026-01-14T00:00:00"}
