{"id":"https://openalex.org/W2804347532","doi":"https://doi.org/10.1109/tac.2018.2836191","title":"Vector Lyapunov Function based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems","display_name":"Vector Lyapunov Function based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2804347532","doi":"https://doi.org/10.1109/tac.2018.2836191","mag":"2804347532"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2836191","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2836191","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5058087521","display_name":"Wei Ren","orcid":"https://orcid.org/0000-0002-3300-0993"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Ren","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021953090","display_name":"Junlin Xiong","orcid":"https://orcid.org/0000-0002-0128-4960"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junlin Xiong","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058087521"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":6.2538,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.96923888,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9994000196456909,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9934999942779541,"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/control-theory","display_name":"Control theory (sociology)","score":0.7630089521408081},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6328932642936707},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.5620020627975464},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.548987090587616},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5300685167312622},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.4935680627822876},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.42487287521362305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4198024272918701},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4177993834018707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4029054641723633},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22560083866119385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09984627366065979},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09299442172050476},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07856369018554688},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07048329710960388}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7630089521408081},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6328932642936707},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.5620020627975464},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.548987090587616},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5300685167312622},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.4935680627822876},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.42487287521362305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4198024272918701},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4177993834018707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4029054641723633},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22560083866119385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09984627366065979},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09299442172050476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07856369018554688},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07048329710960388},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical 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":1,"locations":[{"id":"doi:10.1109/tac.2018.2836191","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2836191","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W629493226","https://openalex.org/W1488435683","https://openalex.org/W1491672380","https://openalex.org/W1494628843","https://openalex.org/W1499154045","https://openalex.org/W1580992231","https://openalex.org/W1900371862","https://openalex.org/W1963667946","https://openalex.org/W1980591088","https://openalex.org/W1983176609","https://openalex.org/W1988750285","https://openalex.org/W2003504842","https://openalex.org/W2017493230","https://openalex.org/W2021190957","https://openalex.org/W2028470370","https://openalex.org/W2035315911","https://openalex.org/W2038116673","https://openalex.org/W2038137192","https://openalex.org/W2058765561","https://openalex.org/W2061505796","https://openalex.org/W2063066107","https://openalex.org/W2081408559","https://openalex.org/W2083575195","https://openalex.org/W2083757398","https://openalex.org/W2084729396","https://openalex.org/W2086061586","https://openalex.org/W2087276939","https://openalex.org/W2088680241","https://openalex.org/W2091295012","https://openalex.org/W2092238827","https://openalex.org/W2128506805","https://openalex.org/W2144590898","https://openalex.org/W2147974763","https://openalex.org/W2156225365","https://openalex.org/W2162193912","https://openalex.org/W2227086155","https://openalex.org/W2277160815","https://openalex.org/W2331201376","https://openalex.org/W2377412313","https://openalex.org/W2507654154","https://openalex.org/W2516032703","https://openalex.org/W2536236449","https://openalex.org/W2581617814","https://openalex.org/W2598182031","https://openalex.org/W2610857016","https://openalex.org/W2787797055","https://openalex.org/W2963880362","https://openalex.org/W4213122800"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W3194517843","https://openalex.org/W2534107666","https://openalex.org/W1977987201","https://openalex.org/W2374426356","https://openalex.org/W2121515234","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W2210722882"],"abstract_inverted_index":{"In":[0,63],"this":[1],"paper,":[2],"the":[3,15,23,38,41,47,50,58,64,71,80,94,97,104,114,120,123,128,132,136,143,147,153,160,174],"input-to-state":[4],"stability":[5,59,66,155],"is":[6,44,53,87,101,150,165],"studied":[7],"for":[8],"stochastic":[9],"impulsive":[10,84],"switched":[11],"time-delay":[12],"systems.":[13,181],"Using":[14],"vector":[16,72,124,144],"Lyapunov":[17,73,125,138,145],"function,":[18,146],"average":[19],"dwell":[20],"time,":[21],"and":[22,46,57,103,110,135,152,173],"properties":[24],"of":[25,32,70,162,177],"<i":[26],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</i>":[28],"-matrix,":[29],"different":[30,68],"types":[31],"sufficient":[33],"conditions":[34,60,156],"are":[35,55,61,75,107,157],"established.":[36,158],"Both":[37],"case":[39,48],"that":[40,49],"continuous":[42],"dynamics":[43,52],"stable":[45,54],"discrete":[51],"addressed,":[56],"obtained.":[62],"obtained":[65,105],"conditions,":[67],"components":[69],"function":[74,126,139],"allowed":[76,89],"to":[77,90,142],"be":[78,91],"coupled;":[79],"information":[81],"in":[82],"consecutive":[83],"switching":[85],"intervals":[86],"also":[88],"coupled.":[92],"Therefore,":[93],"magnification":[95],"on":[96,131],"corresponding":[98],"coupling":[99],"items":[100],"avoided":[102],"results":[106,164],"more":[108],"general":[109],"less":[111],"conservative":[112],"than":[113],"existing":[115],"results.":[116],"Furthermore,":[117],"we":[118],"investigate":[119],"relationships":[121],"among":[122],"approach,":[127],"approach":[129],"based":[130],"comparison":[133,148],"principle":[134],"scalar":[137],"approach.":[140],"According":[141],"system":[149],"constructed":[151],"scalar-Lyapunov-function-based":[154],"Finally,":[159],"applicability":[161],"our":[163],"illustrated":[166],"through":[167],"two":[168],"examples":[169],"from":[170],"neural":[171],"systems":[172],"synchronization":[175],"problem":[176],"chaos-based":[178],"secure":[179],"communication":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":11}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
