{"id":"https://openalex.org/W4400943864","doi":"https://doi.org/10.1109/tac.2024.3433068","title":"Convergence Theorems for Stochastic Impulsive Systems With Application to Discrete-Time Stochastic Feedback Control","display_name":"Convergence Theorems for Stochastic Impulsive Systems With Application to Discrete-Time Stochastic Feedback Control","publication_year":2024,"publication_date":"2024-07-24","ids":{"openalex":"https://openalex.org/W4400943864","doi":"https://doi.org/10.1109/tac.2024.3433068"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3433068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3433068","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/A5041301168","display_name":"Shixian Luo","orcid":"https://orcid.org/0000-0003-1538-0950"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shixian Luo","raw_affiliation_strings":["School of Electrical Engineering, Guangxi University, Nanning, China","School of Electrical Engineering, Guangxi University, Nanning, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Guangxi University, Nanning, China","institution_ids":["https://openalex.org/I150807315"]},{"raw_affiliation_string":"School of Electrical Engineering, Guangxi University, Nanning, P. R. China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063134490","display_name":"Feiqi Deng","orcid":"https://orcid.org/0000-0002-0257-5647"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiqi Deng","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","School of Automation Science and Engineering, South China University of Technology, Guangzhou, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou, P. R. China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037372824","display_name":"Yan Jiang","orcid":"https://orcid.org/0000-0001-6031-8457"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Jiang","raw_affiliation_strings":["School of Electrical Engineering, Guangxi University, Nanning, China","School of Electrical Engineering, Guangxi University, Nanning, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Guangxi University, Nanning, China","institution_ids":["https://openalex.org/I150807315"]},{"raw_affiliation_string":"School of Electrical Engineering, Guangxi University, Nanning, P. R. China","institution_ids":["https://openalex.org/I150807315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041301168"],"corresponding_institution_ids":["https://openalex.org/I150807315"],"apc_list":null,"apc_paid":null,"fwci":0.5625,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67708333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"70","issue":"1","first_page":"431","last_page":"446"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.5698999762535095,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.5698999762535095,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.662331223487854},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6244138479232788},{"id":"https://openalex.org/keywords/discrete-time-stochastic-process","display_name":"Discrete-time stochastic process","score":0.5632346272468567},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.5577025413513184},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5197581648826599},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.45656073093414307},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4538593888282776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4459215998649597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4299164116382599},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4291281998157501},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.399470716714859},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34704941511154175},{"id":"https://openalex.org/keywords/continuous-time-stochastic-process","display_name":"Continuous-time stochastic process","score":0.3282879590988159},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.243686705827713},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.2113243043422699},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.15544745326042175},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10916304588317871},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08824527263641357},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06622380018234253}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.662331223487854},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6244138479232788},{"id":"https://openalex.org/C92703954","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Discrete-time stochastic process","level":4,"score":0.5632346272468567},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.5577025413513184},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5197581648826599},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.45656073093414307},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4538593888282776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4459215998649597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4299164116382599},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4291281998157501},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.399470716714859},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34704941511154175},{"id":"https://openalex.org/C158535547","wikidata":"https://www.wikidata.org/wiki/Q5165437","display_name":"Continuous-time stochastic process","level":3,"score":0.3282879590988159},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.243686705827713},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.2113243043422699},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.15544745326042175},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10916304588317871},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08824527263641357},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06622380018234253},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3433068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3433068","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":[{"id":"https://openalex.org/G2720884450","display_name":null,"funder_award_id":"62003103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3872095010","display_name":null,"funder_award_id":"AD23026217","funder_id":"https://openalex.org/F4320325705","funder_display_name":"Scientific Research and Technology Development Program of Guangxi"},{"id":"https://openalex.org/G4489779044","display_name":null,"funder_award_id":"62333006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4673501982","display_name":null,"funder_award_id":"62003104","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/F4320325705","display_name":"Scientific Research and Technology Development Program of Guangxi","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1494628843","https://openalex.org/W1639879014","https://openalex.org/W2003043051","https://openalex.org/W2019166202","https://openalex.org/W2021640380","https://openalex.org/W2027422523","https://openalex.org/W2028470370","https://openalex.org/W2029816023","https://openalex.org/W2034405183","https://openalex.org/W2061741741","https://openalex.org/W2088680241","https://openalex.org/W2144139956","https://openalex.org/W2153392494","https://openalex.org/W2154508260","https://openalex.org/W2161470655","https://openalex.org/W2170374301","https://openalex.org/W2327286007","https://openalex.org/W2518075207","https://openalex.org/W2598182031","https://openalex.org/W2618682531","https://openalex.org/W2771971360","https://openalex.org/W2790180077","https://openalex.org/W2803226369","https://openalex.org/W2900500391","https://openalex.org/W2900729111","https://openalex.org/W2900812847","https://openalex.org/W2910477251","https://openalex.org/W2928303396","https://openalex.org/W2946547604","https://openalex.org/W2963795895","https://openalex.org/W2966655750","https://openalex.org/W2971861861","https://openalex.org/W3011413812","https://openalex.org/W3080621715","https://openalex.org/W3086207693","https://openalex.org/W3092183016","https://openalex.org/W3115892855","https://openalex.org/W3119046920","https://openalex.org/W3126626745","https://openalex.org/W3134782659","https://openalex.org/W3138247720","https://openalex.org/W3153591500","https://openalex.org/W3157604327","https://openalex.org/W3165964023","https://openalex.org/W3189885996","https://openalex.org/W3205137747","https://openalex.org/W3207393909","https://openalex.org/W4220755988","https://openalex.org/W4225105097","https://openalex.org/W4404125337"],"related_works":["https://openalex.org/W2912324827","https://openalex.org/W4302305711","https://openalex.org/W1515213997","https://openalex.org/W2138230037","https://openalex.org/W2949098703","https://openalex.org/W2121345901","https://openalex.org/W4299533968","https://openalex.org/W2963556112","https://openalex.org/W2065120053","https://openalex.org/W2126102075"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,53,57,75],"devoted":[3],"to":[4,16,60,119,135,199],"stochastic":[5,9,18,24,33,72,113],"convergence":[6,73],"theorems":[7,106],"for":[8,48,77,112],"impulsive":[10],"systems":[11],"(SISs)":[12],"and":[13,82,107,140,161,180],"their":[14],"application":[15],"discrete-time":[17],"feedback":[19],"control":[20,163],"(DTSFC).":[21],"A":[22],"general":[23,71],"Barb\u0103lat's":[25],"lemma,":[26,69],"which":[27,56,79],"only":[28,126],"requires":[29],"that":[30],"the":[31,44,61,85,90,94,128,147,150,168,172,178,186,201],"concerned":[32],"processes":[34,52],"are":[35,110,165,197],"almost":[36,151],"surely":[37],"integrable":[38,42],"rather":[39],"than":[40],"absolutely":[41],"in":[43,93,158,177],"sense":[45],"of":[46,67,89,104,115,185],"expectation,":[47],"piecewise":[49],"continuous":[50,139],"adapted":[51],"first":[54],"proposed,":[55],"truly":[58],"parallel":[59],"deterministic":[62],"one.":[63],"As":[64],"an":[65,182],"extension":[66],"this":[68],"a":[70,102],"theorem":[74],"established":[76,111],"SISs,":[78],"can":[80],"reveal":[81],"sufficiently":[83],"apply":[84],"possible":[86],"active":[87],"contribution":[88],"existing":[91],"noise":[92,130],"underlying":[95],"system.":[96],"To":[97],"derive":[98],"easy-to-check":[99],"stability":[100,123],"conditions,":[101],"series":[103],"LaSalle-type":[105,148],"dwell-time-based":[108],"conditions":[109],"stability/convergence":[114],"SISs.":[116],"In":[117],"contrast":[118],"preceding":[120],"results,":[121],"these":[122],"criteria":[124],"cannot":[125],"characterize":[127],"stabilizing":[129],"but":[131],"also":[132],"be":[133],"applicable":[134],"SISs":[136],"with":[137,195],"both":[138,159],"discrete":[141],"unstable":[142],"dynamics.":[143],"Moreover,":[144],"supported":[145],"by":[146,156],"theorems,":[149],"sure":[152],"exponential":[153],"stabilization":[154],"problems":[155],"DTSFC":[157],"time-":[160],"event-triggered":[162],"schemes":[164],"solved.":[166],"Particularly,":[167],"proposed":[169],"methods":[170],"remove":[171],"global":[173],"Lipschitz":[174],"condition":[175],"required":[176],"literature":[179],"provide":[181],"explicit":[183],"computation":[184],"maximum":[187],"allowable":[188],"sampling":[189],"period.":[190],"Finally,":[191],"four":[192],"numerical":[193],"examples":[194],"comparisons":[196],"used":[198],"illustrate":[200],"theoretical":[202],"results.":[203]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-26T23:08:49.675405","created_date":"2025-10-10T00:00:00"}