{"id":"https://openalex.org/W2013376140","doi":"https://doi.org/10.1109/icmlc.2012.6359472","title":"Relative stability analysis of two hybrid systems","display_name":"Relative stability analysis of two hybrid systems","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2013376140","doi":"https://doi.org/10.1109/icmlc.2012.6359472","mag":"2013376140"},"language":"en","primary_location":{"id":"doi:10.1109/icmlc.2012.6359472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2012.6359472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"},"type":"conference-paper","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/A5101945603","display_name":"Yong-Yan Fan","orcid":"https://orcid.org/0000-0002-8690-4742"},"institutions":[{"id":"https://openalex.org/I4210112851","display_name":"Cangzhou Normal University","ror":"https://ror.org/01de7qg49","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210112851"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong-Yan Fan","raw_affiliation_strings":["Department of Mathematics, Cangzhou Normal University, 061001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cangzhou Normal University, 061001, China","institution_ids":["https://openalex.org/I4210112851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100339650","display_name":"Jinhua Wang","orcid":"https://orcid.org/0000-0002-2179-7333"},"institutions":[{"id":"https://openalex.org/I4210112851","display_name":"Cangzhou Normal University","ror":"https://ror.org/01de7qg49","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210112851"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin-Hua Wang","raw_affiliation_strings":["Department of Mathematics, Cangzhou Normal University, 061001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cangzhou Normal University, 061001, China","institution_ids":["https://openalex.org/I4210112851"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052709846","display_name":"Jing Zhang","orcid":"https://orcid.org/0000-0003-3516-0111"},"institutions":[{"id":"https://openalex.org/I4210112851","display_name":"Cangzhou Normal University","ror":"https://ror.org/01de7qg49","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210112851"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Zhang","raw_affiliation_strings":["Department of Mathematics, Cangzhou Normal University, 061001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cangzhou Normal University, 061001, China","institution_ids":["https://openalex.org/I4210112851"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100329467","display_name":"Chong Wang","orcid":"https://orcid.org/0000-0003-2076-9610"},"institutions":[{"id":"https://openalex.org/I4210112851","display_name":"Cangzhou Normal University","ror":"https://ror.org/01de7qg49","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210112851"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chong Wang","raw_affiliation_strings":["Department of Mathematics, Cangzhou Normal University, 061001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cangzhou Normal University, 061001, China","institution_ids":["https://openalex.org/I4210112851"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210112851"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"334","issue":null,"first_page":"894","last_page":"898"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9969000220298767,"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":0.6969192028045654},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6802250742912292},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.49234259128570557},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48574429750442505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45166921615600586},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36583849787712097},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33877769112586975},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.19506481289863586},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15649449825286865},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1037442684173584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08279851078987122}],"concepts":[{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6969192028045654},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6802250742912292},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.49234259128570557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48574429750442505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45166921615600586},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36583849787712097},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33877769112586975},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.19506481289863586},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15649449825286865},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1037442684173584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08279851078987122},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icmlc.2012.6359472","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icmlc.2012.6359472","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 International Conference on Machine Learning and Cybernetics","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1973653024","https://openalex.org/W1980469653","https://openalex.org/W1995063858","https://openalex.org/W2006290674","https://openalex.org/W2009534232","https://openalex.org/W2018689625","https://openalex.org/W2026129670","https://openalex.org/W2029775233","https://openalex.org/W2029801101","https://openalex.org/W2035285965","https://openalex.org/W2053185384","https://openalex.org/W2060560541","https://openalex.org/W2096167463","https://openalex.org/W2158772128","https://openalex.org/W2387411114","https://openalex.org/W2566720177","https://openalex.org/W4302562054"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W1984599496"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"investigate":[4],"the":[5,9],"stability":[6],"properties":[7],"of":[8],"hybrid":[10,13],"systems.":[11],"The":[12],"systems":[14,21],"models":[15,25],"are":[16,26,43],"described":[17],"again":[18],"and":[19,31],"these":[20],"as":[22],"adequate":[23],"mathematical":[24],"widely":[27],"applied":[28],"in":[29],"control":[30],"engineering":[32],"science.":[33],"Sufficient":[34],"conditions":[35],"for":[36],"relative":[37],"\u03c6":[38],"<sub":[39],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[40],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[41],"-stability":[42],"derived":[44],"by":[45],"using":[46],"cone-valued":[47],"Lyapunov":[48],"functions.":[49]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
