{"id":"https://openalex.org/W4295135662","doi":"https://doi.org/10.1177/01423312221116713","title":"Stability analysis of delayed fractional-order switched systems","display_name":"Stability analysis of delayed fractional-order switched systems","publication_year":2022,"publication_date":"2022-09-09","ids":{"openalex":"https://openalex.org/W4295135662","doi":"https://doi.org/10.1177/01423312221116713"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1177/01423312221116713","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5101922567","display_name":"Ran Yang","orcid":"https://orcid.org/0000-0002-3258-3947"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Yang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081847276","display_name":"Song Liu","orcid":"https://orcid.org/0000-0001-9259-3795"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Song Liu","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, P.R. China","The Center for Pure Mathematics, Anhui University, P.R. China"],"affiliations":[{"raw_affiliation_string":"The Center for Pure Mathematics, Anhui University, P.R. China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100459426","display_name":"Xiaoyan Li","orcid":"https://orcid.org/0000-0003-1809-5514"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyan Li","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, P.R. China","The Center for Pure Mathematics, Anhui University, P.R. China"],"affiliations":[{"raw_affiliation_string":"The Center for Pure Mathematics, Anhui University, P.R. China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081794139","display_name":"Tao Huang","orcid":"https://orcid.org/0000-0001-5035-1632"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Huang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081847276"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":0.173,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.338504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":60,"max":70},"biblio":{"volume":"45","issue":"3","first_page":"502","last_page":"511"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.999,"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/T11081","display_name":"Advanced Control Systems Design","score":0.999,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9986,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dwell-time","display_name":"Dwell time","score":0.8018193},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5642237},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.52514434}],"concepts":[{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.8018193},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.67123276},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6340312},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6270678},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6236379},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5710021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5668619},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5642237},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.53958625},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.52514434},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4797215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35906476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35396147},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.093156874},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C70410870","wikidata":"https://www.wikidata.org/wiki/Q199906","display_name":"Clinical psychology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1177/01423312221116713","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":37,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W2063504728","https://openalex.org/W2077402293","https://openalex.org/W2078167295","https://openalex.org/W2079629840","https://openalex.org/W2079705818","https://openalex.org/W2093558280","https://openalex.org/W2165468780","https://openalex.org/W2166264268","https://openalex.org/W2168914013","https://openalex.org/W2261454013","https://openalex.org/W2273219975","https://openalex.org/W2344086542","https://openalex.org/W2349773598","https://openalex.org/W2507919637","https://openalex.org/W2787959293","https://openalex.org/W2891184026","https://openalex.org/W2902824469","https://openalex.org/W2916914452","https://openalex.org/W2917219365","https://openalex.org/W2917922881","https://openalex.org/W2952816267","https://openalex.org/W2982413285","https://openalex.org/W2996311480","https://openalex.org/W2996919183","https://openalex.org/W3005901455","https://openalex.org/W3009527032","https://openalex.org/W3011876502","https://openalex.org/W3036789218","https://openalex.org/W3098585868","https://openalex.org/W3102362377","https://openalex.org/W3103061980","https://openalex.org/W3103185122","https://openalex.org/W3131756714","https://openalex.org/W3138121319","https://openalex.org/W3167497618","https://openalex.org/W769504597"],"related_works":["https://openalex.org/W52595378","https://openalex.org/W4300989278","https://openalex.org/W4285551356","https://openalex.org/W4224312498","https://openalex.org/W327603423","https://openalex.org/W3042530036","https://openalex.org/W2170091984","https://openalex.org/W2157347895","https://openalex.org/W2074717584","https://openalex.org/W1508583995"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"stability":[3,78],"of":[4,22,47,85],"delayed":[5,86],"fractional-order":[6,41,87],"switched":[7,88],"systems.":[8],"First,":[9],"two":[10,94],"useful":[11],"propositions":[12],"are":[13],"proposed":[14],"based":[15],"on":[16],"Razumikhin":[17],"approach":[18,51],"together":[19],"with":[20,44],"properties":[21],"fractional":[23],"calculus":[24],"and":[25,37,40,52],"analytical":[26],"techniques,":[27],"which":[28],"can":[29],"well":[30],"solve":[31],"the":[32,45,63,80,99],"difficulties":[33],"caused":[34,65],"by":[35,66],"distributed":[36],"discrete":[38],"delays":[39],"derivatives.":[42],"Then,":[43],"help":[46],"multiple":[48],"Lyapunov":[49],"function":[50],"dwell":[53,71],"time":[54,72],"technique,":[55],"an":[56],"effective":[57],"way":[58],"is":[59,73,90],"developed":[60],"to":[61,75],"overcome":[62],"trouble":[64],"switching":[67],"rules.":[68],"A":[69],"delay-dependent":[70],"derived":[74],"guarantee":[76],"asymptotic":[77],"under":[79],"hypothesis":[81],"that":[82],"each":[83],"subsystem":[84],"systems":[89],"asymptotically":[91],"stable.":[92],"Finally,":[93],"illustrative":[95],"examples":[96],"further":[97],"clarify":[98],"obtained":[100],"conclusions.":[101]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4295135662","counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-01-21T12:49:11.492829","created_date":"2022-09-11"}