{"id":"https://openalex.org/W2555656812","doi":"https://doi.org/10.1109/tcsi.2016.2620994","title":"On Stability of a Class of Switched Nonlinear Systems Subject to Random Disturbances","display_name":"On Stability of a Class of Switched Nonlinear Systems Subject to Random Disturbances","publication_year":2016,"publication_date":"2016-11-16","ids":{"openalex":"https://openalex.org/W2555656812","doi":"https://doi.org/10.1109/tcsi.2016.2620994","mag":"2555656812"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2016.2620994","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2016.2620994","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","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/A5036285251","display_name":"Ticao Jiao","orcid":"https://orcid.org/0000-0001-9323-4321"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ticao Jiao","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108050907","display_name":"Wei Xing Zheng","orcid":"https://orcid.org/0000-0002-0572-5938"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Xing Zheng","raw_affiliation_strings":["School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363679","display_name":"Shengyuan Xu","orcid":"https://orcid.org/0000-0002-3015-0662"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyuan Xu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036285251"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":8.8376,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.98006564,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"63","issue":"12","first_page":"2278","last_page":"2289"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9958999752998352,"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/T11236","display_name":"Control Systems and Identification","score":0.9926000237464905,"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/stability","display_name":"Stability (learning theory)","score":0.6374919414520264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6266205310821533},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6080018877983093},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5957697629928589},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5851081013679504},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.5740979313850403},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5340109467506409},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5229816436767578},{"id":"https://openalex.org/keywords/dwell-time","display_name":"Dwell time","score":0.5130128264427185},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4396834373474121},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.43742403388023376},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4300290644168854},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4149777889251709},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41058918833732605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28195053339004517},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1973598301410675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1624296009540558},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10830637812614441},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09391000866889954},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0737835168838501}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6374919414520264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6266205310821533},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6080018877983093},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5957697629928589},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5851081013679504},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.5740979313850403},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5340109467506409},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5229816436767578},{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.5130128264427185},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4396834373474121},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.43742403388023376},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4300290644168854},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4149777889251709},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41058918833732605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28195053339004517},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1973598301410675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1624296009540558},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10830637812614441},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09391000866889954},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0737835168838501},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2016.2620994","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2016.2620994","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1268832336","display_name":null,"funder_award_id":"DP120104986","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G4553865993","display_name":null,"funder_award_id":"61673215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4762106868","display_name":null,"funder_award_id":"61374087","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W581754900","https://openalex.org/W1489923071","https://openalex.org/W1525058602","https://openalex.org/W1552094772","https://openalex.org/W1579485993","https://openalex.org/W1822839405","https://openalex.org/W1900371862","https://openalex.org/W1953320507","https://openalex.org/W1966109408","https://openalex.org/W1981722803","https://openalex.org/W1990784704","https://openalex.org/W1994951210","https://openalex.org/W1996505464","https://openalex.org/W2006394884","https://openalex.org/W2008349556","https://openalex.org/W2009706090","https://openalex.org/W2015374326","https://openalex.org/W2018922473","https://openalex.org/W2028470370","https://openalex.org/W2034240866","https://openalex.org/W2041326027","https://openalex.org/W2043270542","https://openalex.org/W2062950246","https://openalex.org/W2073046069","https://openalex.org/W2081408559","https://openalex.org/W2089198099","https://openalex.org/W2099954780","https://openalex.org/W2113341204","https://openalex.org/W2114295568","https://openalex.org/W2145137020","https://openalex.org/W2146463779","https://openalex.org/W2148472611","https://openalex.org/W2164677902","https://openalex.org/W2165177018","https://openalex.org/W2166600344","https://openalex.org/W2171850697","https://openalex.org/W2337201388","https://openalex.org/W2342560477","https://openalex.org/W2398973820","https://openalex.org/W2509286269","https://openalex.org/W2527538271","https://openalex.org/W2580787672","https://openalex.org/W4213100547","https://openalex.org/W4235816940","https://openalex.org/W4246789264","https://openalex.org/W6684254397","https://openalex.org/W6732558630"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W1993510555","https://openalex.org/W4224312498","https://openalex.org/W1995649400","https://openalex.org/W1508583995","https://openalex.org/W2170091984","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,33,50,60,68,71,81,90,115,118],"stability":[4,54,79,84,96],"problem":[5],"for":[6],"a":[7],"class":[8],"of":[9,37,52,85,97,103,117],"switched":[10,41,87],"nonlinear":[11],"systems":[12],"subject":[13],"to":[14,31,39,48,66,113],"random":[15,40,86],"disturbances":[16],"whose":[17],"\u03c4-order":[18],"moments":[19],"(\u03c4":[20],">":[21],"1)":[22],"are":[23,29,46,99,111],"finite.":[24],"First,":[25],"some":[26],"general":[27],"conditions":[28],"given":[30,112],"guarantee":[32],"existence":[34,94],"and":[35,80,95],"uniqueness":[36],"solutions":[38,98],"systems.":[42,88],"Next,":[43],"these":[44],"results":[45],"used":[47],"deduce":[49],"criteria":[51,91],"noise-to-state":[53,69,78],"under":[55],"probabilistic":[56],"switching":[57],"signal.":[58],"Then,":[59],"average":[61],"dwell-time":[62],"approach":[63],"is":[64],"adopted":[65],"study":[67],"stability,":[70],"e":[72],"<sup":[73],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[74],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03bbt</sup>":[75],"-weighted":[76],"(integral)":[77],"global":[82,93],"asymptotic":[83],"All":[89],"on":[92],"developed":[100],"by":[101],"virtue":[102],"multiple":[104],"Lyapunov":[105],"functions.":[106],"Finally,":[107],"two":[108],"numerical":[109],"examples":[110],"demonstrate":[114],"validity":[116],"theoretical":[119],"results.":[120]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}