{"id":"https://openalex.org/W2312229020","doi":"https://doi.org/10.1109/tsmc.2016.2531680","title":"Event-Triggered $H_\\infty $ Control for Continuous-Time Nonlinear System via Concurrent Learning","display_name":"Event-Triggered $H_\\infty $ Control for Continuous-Time Nonlinear System via Concurrent Learning","publication_year":2016,"publication_date":"2016-03-28","ids":{"openalex":"https://openalex.org/W2312229020","doi":"https://doi.org/10.1109/tsmc.2016.2531680","mag":"2312229020"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2016.2531680","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2016.2531680","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5049454999","display_name":"Qichao Zhang","orcid":"https://orcid.org/0000-0001-9747-391X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qichao Zhang","raw_affiliation_strings":["State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210094879"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100624298","display_name":"Dongbin Zhao","orcid":"https://orcid.org/0000-0001-8218-9633"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongbin Zhao","raw_affiliation_strings":["State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210094879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080193690","display_name":"Yuanheng Zhu","orcid":"https://orcid.org/0000-0001-5384-423X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210094879","display_name":"Shandong Institute of Automation","ror":"https://ror.org/00qdtba35","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210094879","https://openalex.org/I4210142748"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanheng Zhu","raw_affiliation_strings":["State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210094879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":30.3206,"has_fulltext":false,"cited_by_count":225,"citation_normalized_percentile":{"value":0.99747428,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"47","issue":"7","first_page":"1071","last_page":"1081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10675","display_name":"Mechanical Circulatory Support Devices","score":0.967199981212616,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9642999768257141,"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/controller","display_name":"Controller (irrigation)","score":0.6416480541229248},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.607367992401123},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5636197924613953},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.5404061079025269},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5284409523010254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.511099636554718},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4998321533203125},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4439615309238434},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.43437787890434265},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.43069958686828613},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.40265679359436035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37178951501846313},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28200554847717285},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2667921185493469},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09669756889343262},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09664955735206604}],"concepts":[{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6416480541229248},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.607367992401123},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5636197924613953},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.5404061079025269},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5284409523010254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.511099636554718},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4998321533203125},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4439615309238434},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.43437787890434265},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.43069958686828613},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.40265679359436035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37178951501846313},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28200554847717285},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2667921185493469},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09669756889343262},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09664955735206604},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2016.2531680","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2016.2531680","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1731450854","display_name":null,"funder_award_id":"61273136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5745859652","display_name":null,"funder_award_id":"61573353","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7163010157","display_name":"\u57fa\u4e8e\u6570\u636e\u7684\u5efa\u7b51\u7fa4\u53ca\u5206\u5e03\u5f0f\u80fd\u6e90\u7cfb\u7edf\u4e00\u4f53\u5316\u5efa\u6a21\u4e0e\u81ea\u5b66\u4e60\u4f18\u5316\u63a7\u5236","funder_award_id":"61533017","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W601351931","https://openalex.org/W1515828703","https://openalex.org/W1580348315","https://openalex.org/W1588998206","https://openalex.org/W1606119439","https://openalex.org/W1793264465","https://openalex.org/W1891098503","https://openalex.org/W1916670313","https://openalex.org/W1978921618","https://openalex.org/W1997603681","https://openalex.org/W2001976066","https://openalex.org/W2005437559","https://openalex.org/W2010152647","https://openalex.org/W2019478222","https://openalex.org/W2024162902","https://openalex.org/W2031692836","https://openalex.org/W2031788461","https://openalex.org/W2035018355","https://openalex.org/W2050863671","https://openalex.org/W2051370683","https://openalex.org/W2052399669","https://openalex.org/W2052688942","https://openalex.org/W2068949505","https://openalex.org/W2073499686","https://openalex.org/W2078977470","https://openalex.org/W2085194340","https://openalex.org/W2088246243","https://openalex.org/W2091130426","https://openalex.org/W2100276679","https://openalex.org/W2100409338","https://openalex.org/W2106117630","https://openalex.org/W2109640889","https://openalex.org/W2112103082","https://openalex.org/W2116479681","https://openalex.org/W2117056304","https://openalex.org/W2120038868","https://openalex.org/W2132468772","https://openalex.org/W2139416664","https://openalex.org/W2157577161","https://openalex.org/W2185205315","https://openalex.org/W2284707011","https://openalex.org/W2318057238","https://openalex.org/W2473265833","https://openalex.org/W3210839039","https://openalex.org/W4302033101","https://openalex.org/W6668727031","https://openalex.org/W6720827126"],"related_works":["https://openalex.org/W4287869118","https://openalex.org/W3005585050","https://openalex.org/W1984343254","https://openalex.org/W3126195429","https://openalex.org/W2354473585","https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2070267559","https://openalex.org/W2962746246","https://openalex.org/W1989531755"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,24,49,69,76,79,82,92,105,123,126,130,134,137,146,154,160,166,180,183,187],"H":[4,25,189],"<sub":[5,26,190],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,27,191],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[7,28,192],"optimal":[8,29],"control":[9,30,55,127,193],"problem":[10,31],"for":[11,48],"a":[12,35,58,87],"class":[13],"of":[14,140,156,165],"continuous-time":[15],"nonlinear":[16],"systems":[17],"is":[18,32,46,65,72,84,96,110,119,143],"investigated":[19],"using":[20,145,173],"event-triggered":[21,54,63,106],"method.":[22],"First,":[23],"formulated":[33],"as":[34],"two-player":[36],"zero-sum":[37],"(ZS)":[38],"differential":[39],"game.":[40],"Then,":[41],"an":[42,53],"adaptive":[43],"triggering":[44,70],"condition":[45,71,142],"derived":[47],"ZS":[50,184],"game":[51,185],"with":[52],"policy":[56,128],"and":[57,81,129,149,159,186],"time-triggered":[59],"disturbance":[60,131],"policy.":[61,132],"The":[62],"controller":[64,83],"updated":[66],"only":[67,113],"when":[68],"not":[73],"satisfied.":[74],"Therefore,":[75],"communication":[77],"between":[78],"plant":[80],"reduced.":[85],"Furthermore,":[86],"positive":[88],"lower":[89],"bound":[90],"on":[91],"minimal":[93],"intersample":[94],"time":[95],"provided":[97],"to":[98,121,182],"avoid":[99],"Zeno":[100],"behavior.":[101],"For":[102],"implementation":[103],"purpose,":[104],"concurrent":[107],"learning":[108,135],"algorithm":[109],"proposed,":[111],"where":[112],"one":[114],"critic":[115,167],"neural":[116],"network":[117],"(NN)":[118],"used":[120],"approximate":[122],"value":[124],"function,":[125],"During":[133],"process,":[136],"traditional":[138],"persistence":[139],"excitation":[141],"relaxed":[144],"recorded":[147],"data":[148,151],"instantaneous":[150],"together.":[152],"Meanwhile,":[153],"stability":[155],"closed-loop":[157],"system":[158],"uniform":[161],"ultimate":[162],"boundedness":[163],"(UUB)":[164],"NN's":[168],"parameters":[169],"are":[170],"proved":[171],"by":[172],"Lyapunov":[174],"technique.":[175],"Finally,":[176],"simulation":[177],"results":[178],"verify":[179],"feasibility":[181],"corresponding":[188],"problem.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":25},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":27},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":35},{"year":2018,"cited_by_count":34},{"year":2017,"cited_by_count":21},{"year":2016,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
