{"id":"https://openalex.org/W2602479508","doi":"https://doi.org/10.1080/00207721.2017.1306146","title":"On stability of switched nonlinear systems with time-scaling transformation","display_name":"On stability of switched nonlinear systems with time-scaling transformation","publication_year":2017,"publication_date":"2017-03-24","ids":{"openalex":"https://openalex.org/W2602479508","doi":"https://doi.org/10.1080/00207721.2017.1306146","mag":"2602479508"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2017.1306146","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2017.1306146","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5101956603","display_name":"Hao Yang","orcid":"https://orcid.org/0000-0003-1914-084X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hao Yang","raw_affiliation_strings":["Department of Automatic Control, College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102761916","display_name":"Wenjing Ren","orcid":"https://orcid.org/0000-0002-2139-8383"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjing Ren","raw_affiliation_strings":["Department of Automatic Control, College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":null,"display_name":"Bin Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Jiang","raw_affiliation_strings":["Department of Automatic Control, College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101956603"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":0.1984,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48023821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":"10","first_page":"2120","last_page":"2127"},"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":0.9993000030517578,"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":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dwell-time","display_name":"Dwell time","score":0.8531662225723267},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.8006827235221863},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.7331720590591431},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7148759365081787},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6222190260887146},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6199562549591064},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5069870948791504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5020492076873779},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.45428702235221863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38825440406799316},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08802646398544312},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08084040880203247},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07097136974334717}],"concepts":[{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.8531662225723267},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.8006827235221863},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.7331720590591431},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7148759365081787},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6222190260887146},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6199562549591064},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5069870948791504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5020492076873779},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.45428702235221863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38825440406799316},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08802646398544312},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08084040880203247},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07097136974334717},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2017.1306146","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2017.1306146","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2120-2127","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2017.1306146","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G106601416","display_name":null,"funder_award_id":"NE2015002","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3414961960","display_name":null,"funder_award_id":"61473143, 61622304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7050228885","display_name":null,"funder_award_id":"BK20160035","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W597772687","https://openalex.org/W1552094772","https://openalex.org/W1569239057","https://openalex.org/W1633613031","https://openalex.org/W1661824700","https://openalex.org/W1895111777","https://openalex.org/W1995875215","https://openalex.org/W2007952299","https://openalex.org/W2022556332","https://openalex.org/W2035972965","https://openalex.org/W2070750720","https://openalex.org/W2083575195","https://openalex.org/W2083650486","https://openalex.org/W2088664750","https://openalex.org/W2097419103","https://openalex.org/W2098276390","https://openalex.org/W2113341204","https://openalex.org/W2117025134","https://openalex.org/W2139322156","https://openalex.org/W2144635352","https://openalex.org/W2148644171","https://openalex.org/W2157270562","https://openalex.org/W2166137086","https://openalex.org/W2171598409","https://openalex.org/W2268330875","https://openalex.org/W2337201388","https://openalex.org/W2342560477","https://openalex.org/W2343384693","https://openalex.org/W2395517654","https://openalex.org/W2437221139","https://openalex.org/W2515036403","https://openalex.org/W2564407468","https://openalex.org/W2564730475"],"related_works":["https://openalex.org/W2898247383","https://openalex.org/W1977953789","https://openalex.org/W633869025","https://openalex.org/W4384341054","https://openalex.org/W2007903413","https://openalex.org/W2966405498","https://openalex.org/W2118385007","https://openalex.org/W4390507347","https://openalex.org/W3154661772","https://openalex.org/W2060480933"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"a":[3],"class":[4],"of":[5,41,49,77],"switched":[6,31,44],"nonlinear":[7],"systems":[8],"with":[9,65],"time-scaling":[10,51],"transformation.":[11,52],"A":[12,68],"newconcept":[13],"named":[14],"\u2018time-scaling":[15],"transformational":[16,43],"average":[17],"dwell":[18],"time\u2019":[19],"is":[20,71],"proposed,":[21],"based":[22],"on":[23,37],"which":[24],"two":[25],"stability":[26,59],"conditions":[27],"for":[28,62],"the":[29,42,47,50,63,75,78],"original":[30],"system":[32,45],"are":[33],"established":[34],"that":[35],"rely":[36],"each":[38],"mode's":[39],"dynamics":[40],"and":[46],"characteristic":[48],"The":[53],"new":[54],"observation":[55],"significantly":[56],"extends":[57],"existing":[58],"results,":[60],"especially":[61],"case":[64],"unstable":[66],"modes.":[67],"numerical":[69],"example":[70],"given":[72],"to":[73],"illustrate":[74],"effectiveness":[76],"proposed":[79],"method.":[80]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}