{"id":"https://openalex.org/W2102534607","doi":"https://doi.org/10.1109/isic.2007.4450866","title":"A Note on Marginal Stability of Switched Systems","display_name":"A Note on Marginal Stability of Switched Systems","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2102534607","doi":"https://doi.org/10.1109/isic.2007.4450866","mag":"2102534607"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2007.4450866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2007.4450866","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 22nd International Symposium on Intelligent Control","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/A5083273237","display_name":"Zhendong Sun","orcid":"https://orcid.org/0000-0003-2134-6652"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhendong Sun","raw_affiliation_strings":["College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","South China University of Technology,guangzhou"],"affiliations":[{"raw_affiliation_string":"College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"South China University of Technology,guangzhou","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083273237"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":0.8709,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80893687,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"93"},"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":0.9995999932289124,"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":0.9995999932289124,"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/T12772","display_name":"Control and Stability of Dynamical 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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/marginal-stability","display_name":"Marginal stability","score":0.9245538115501404},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.7163528800010681},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6065064072608948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5859822630882263},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.56438148021698},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5528683662414551},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45812687277793884},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3430497944355011},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19147363305091858},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08157488703727722},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07269904017448425}],"concepts":[{"id":"https://openalex.org/C50488108","wikidata":"https://www.wikidata.org/wiki/Q618684","display_name":"Marginal stability","level":3,"score":0.9245538115501404},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7163528800010681},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6065064072608948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5859822630882263},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.56438148021698},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5528683662414551},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45812687277793884},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3430497944355011},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19147363305091858},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08157488703727722},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07269904017448425},{"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},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isic.2007.4450866","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2007.4450866","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE 22nd International Symposium on Intelligent Control","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":34,"referenced_works":["https://openalex.org/W1505975064","https://openalex.org/W1552510372","https://openalex.org/W1970803349","https://openalex.org/W1971657878","https://openalex.org/W1978587117","https://openalex.org/W1980368307","https://openalex.org/W1981504607","https://openalex.org/W1988610190","https://openalex.org/W1991656001","https://openalex.org/W1992111863","https://openalex.org/W1995156490","https://openalex.org/W1995226443","https://openalex.org/W1995454290","https://openalex.org/W2023729441","https://openalex.org/W2028857593","https://openalex.org/W2060668172","https://openalex.org/W2060886109","https://openalex.org/W2103966928","https://openalex.org/W2105250797","https://openalex.org/W2118741873","https://openalex.org/W2118863844","https://openalex.org/W2120207446","https://openalex.org/W2121670568","https://openalex.org/W2133979039","https://openalex.org/W2138802309","https://openalex.org/W2139656224","https://openalex.org/W2148411251","https://openalex.org/W2151136609","https://openalex.org/W2154510168","https://openalex.org/W2157269960","https://openalex.org/W2166912947","https://openalex.org/W4293738473","https://openalex.org/W6665439456","https://openalex.org/W6676017711"],"related_works":["https://openalex.org/W1603589396","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W2002962724","https://openalex.org/W3204869485","https://openalex.org/W2078715441","https://openalex.org/W1984935961","https://openalex.org/W1576753747"],"abstract_inverted_index":{"In":[0,26],"the":[1,14,44,49,79,89],"stability":[2,16,34,45,70,84],"analysis":[3],"of":[4,38,51,73],"switched":[5,39],"dynamical":[6],"systems,":[7],"much":[8],"effort":[9],"has":[10],"been":[11],"devoting":[12],"to":[13,48],"asymptotic":[15],"and":[17,35,85],"exponential":[18],"stability,":[19],"but":[20],"little":[21],"focused":[22],"on":[23],"marginal":[24,33,36,69,83,86],"stability.":[25],"this":[27],"work,":[28],"we":[29,77],"present":[30],"criteria":[31],"for":[32,68,82],"instability":[37,87],"systems.":[40],"We":[41],"prove":[42],"that":[43],"is":[46,58,65],"equivalent":[47],"existence":[50],"a":[52,95],"common":[53],"weak":[54],"Lyapunov":[55],"function":[56],"which":[57],"generally":[59],"not":[60],"continuous.":[61],"A":[62],"sufficient":[63],"condition":[64],"also":[66],"provided":[67],"in":[71,94],"terms":[72],"matrix":[74],"equalities.":[75],"Finally,":[76],"reveal":[78],"subtle":[80],"properties":[81],"through":[88],"largest":[90],"invariant":[91],"set":[92],"contained":[93],"polyhedron.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
