{"id":"https://openalex.org/W2963736537","doi":"https://doi.org/10.1080/00207721.2019.1645233","title":"Stochastic input-to-state stability for impulsive switched stochastic nonlinear systems with multiple jumps","display_name":"Stochastic input-to-state stability for impulsive switched stochastic nonlinear systems with multiple jumps","publication_year":2019,"publication_date":"2019-07-04","ids":{"openalex":"https://openalex.org/W2963736537","doi":"https://doi.org/10.1080/00207721.2019.1645233","mag":"2963736537"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2019.1645233","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2019.1645233","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/A5040005368","display_name":"Lijun Gao","orcid":"https://orcid.org/0000-0003-1939-7071"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lijun Gao","raw_affiliation_strings":["Department of Automation, Qufu Normal University, Rizhao, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Qufu Normal University, Rizhao, People's Republic of China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100691588","display_name":"Meng Zhang","orcid":"https://orcid.org/0009-0002-3140-7500"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhang","raw_affiliation_strings":["Department of Automation, Qufu Normal University, Rizhao, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Qufu Normal University, Rizhao, People's Republic of China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017185490","display_name":"Xiuming Yao","orcid":"https://orcid.org/0000-0001-5361-3829"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiuming Yao","raw_affiliation_strings":["School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040005368"],"corresponding_institution_ids":["https://openalex.org/I202126657"],"apc_list":null,"apc_paid":null,"fwci":1.1642,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.78934868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"50","issue":"9","first_page":"1860","last_page":"1871"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9970999956130981,"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"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9959999918937683,"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/impulse","display_name":"Impulse (physics)","score":0.7352204322814941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6924362778663635},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6600487232208252},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6514843702316284},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6457303166389465},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5877171158790588},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4902653992176056},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4862124025821686},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4373646378517151},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24434098601341248},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21128219366073608},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1886603832244873},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08675417304039001},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0687195360660553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0634903609752655}],"concepts":[{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.7352204322814941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6924362778663635},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6600487232208252},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6514843702316284},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6457303166389465},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5877171158790588},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4902653992176056},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4862124025821686},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4373646378517151},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24434098601341248},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21128219366073608},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1886603832244873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08675417304039001},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0687195360660553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0634903609752655},{"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/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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2019.1645233","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2019.1645233","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:50:y:2019:i:9:p:1860-1871","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2019.1645233","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1967320753","https://openalex.org/W1967321033","https://openalex.org/W1996553846","https://openalex.org/W2017493230","https://openalex.org/W2018981428","https://openalex.org/W2048250719","https://openalex.org/W2051400146","https://openalex.org/W2053860764","https://openalex.org/W2058243742","https://openalex.org/W2080209002","https://openalex.org/W2081408559","https://openalex.org/W2083575195","https://openalex.org/W2086291924","https://openalex.org/W2086434355","https://openalex.org/W2088680241","https://openalex.org/W2167947287","https://openalex.org/W2217584457","https://openalex.org/W2221429328","https://openalex.org/W2277160815","https://openalex.org/W2346710232","https://openalex.org/W2491461032","https://openalex.org/W2514665879","https://openalex.org/W2581617814","https://openalex.org/W2598182031","https://openalex.org/W2621008790","https://openalex.org/W2724888412","https://openalex.org/W2744642977","https://openalex.org/W2751835386","https://openalex.org/W2766227913","https://openalex.org/W2774001114","https://openalex.org/W2775595149","https://openalex.org/W2807878684","https://openalex.org/W2888301886","https://openalex.org/W2898180613","https://openalex.org/W2900869017"],"related_works":["https://openalex.org/W1539575243","https://openalex.org/W2379773606","https://openalex.org/W4210969128","https://openalex.org/W3086618278","https://openalex.org/W1987553284","https://openalex.org/W2119597290","https://openalex.org/W1997409431","https://openalex.org/W1548891870","https://openalex.org/W2377085206","https://openalex.org/W1997768115"],"abstract_inverted_index":{"In":[0,16,94],"this":[1,17],"study,":[2],"we":[3,139,167],"investigate":[4,140],"the":[5,19,31,54,59,72,76,85,89,97,112,123,126,130,141,162,173,176],"stochastic":[6,13,147],"input-to-state":[7],"stability":[8],"(SISS)":[9],"of":[10,144,175],"impulsive":[11,36,64,99,132,145],"switched":[12,146],"nonlinear":[14,148],"systems.":[15],"model,":[18],"impulse":[20,40],"jumps":[21],"are":[22,92,115,154],"component":[23],"multiple":[24],"maps":[25],"that":[26,87,110,153,161],"depend":[27],"on":[28],"time.":[29],"Thus":[30],"model":[32],"differs":[33],"from":[34],"traditional":[35],"systems":[37,149],"with":[38,53,150],"single":[39],"between":[41],"two":[42],"adjacent":[43],"switching":[44],"times.":[45],"We":[46],"provide":[47],"sufficient":[48],"conditions":[49,159],"in":[50,125],"three":[51,169],"cases":[52],"SISS":[55,73,127,142,156],"system":[56,124],"by":[57],"using":[58],"Lyapunov":[60],"function":[61],"and":[62],"average":[63,98,131],"interval":[65,100,133],"approach.":[66],"The":[67],"destabilising":[68],"impulses":[69,77,118],"cannot":[70],"destroy":[71],"properties":[74],"if":[75],"do":[78],"not":[79,116,155],"occur":[80],"too":[81],"frequently":[82],"when":[83,107,129],"all":[84,108],"subsystems":[86,109,152],"control":[88,111],"continuous":[90,113],"dynamics":[91,114],"SISS.":[93],"other":[95],"words,":[96],"satisfies":[101,134],"a":[102],"lower":[103],"bound":[104],"restraint.":[105],"Conversely,":[106],"SISS,":[117],"can":[119],"contribute":[120],"to":[121,171],"stabilising":[122],"sense":[128],"an":[135],"upper":[136],"bound.":[137],"Then,":[138],"property":[143,163],"some":[151],"under":[157],"certain":[158],"such":[160],"remains":[164],"obtained.":[165],"Finally,":[166],"show":[168],"examples":[170],"demonstrate":[172],"validity":[174],"main":[177],"result.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
