{"id":"https://openalex.org/W3196936193","doi":"https://doi.org/10.1109/tnnls.2021.3107550","title":"Approximate Optimal Control for Nonlinear Systems With Periodic Event-Triggered Mechanism","display_name":"Approximate Optimal Control for Nonlinear Systems With Periodic Event-Triggered Mechanism","publication_year":2021,"publication_date":"2021-09-06","ids":{"openalex":"https://openalex.org/W3196936193","doi":"https://doi.org/10.1109/tnnls.2021.3107550","mag":"3196936193","pmid":"https://pubmed.ncbi.nlm.nih.gov/34487504"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2021.3107550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3107550","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5063353466","display_name":"Shengbo Wang","orcid":"https://orcid.org/0000-0003-2447-166X"},"institutions":[{"id":"https://openalex.org/I150229711","display_name":"University of Electronic Science and Technology of China","ror":"https://ror.org/04qr3zq92","country_code":"CN","type":"education","lineage":["https://openalex.org/I150229711"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengbo Wang","raw_affiliation_strings":["School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, China","institution_ids":["https://openalex.org/I150229711"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048286444","display_name":"Shiping Wen","orcid":"https://orcid.org/0000-0002-5048-0319"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shiping Wen","raw_affiliation_strings":["Faculty of Engineering and Information Technology, Australian Artificial Intelligence Institute (AAII), University of Technology at Sydney, Sydney, NSW, Australia"],"raw_orcid":"https://orcid.org/0000-0002-5048-0319","affiliations":[{"raw_affiliation_string":"Faculty of Engineering and Information Technology, Australian Artificial Intelligence Institute (AAII), University of Technology at Sydney, Sydney, NSW, Australia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013941056","display_name":"Kaibo Shi","orcid":"https://orcid.org/0000-0002-9863-9229"},"institutions":[{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaibo Shi","raw_affiliation_strings":["School of Information Science and Engineering, Chengdu University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-9863-9229","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Chengdu University, Chengdu, China","institution_ids":["https://openalex.org/I4210125143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022312188","display_name":"Xiaojun Zhou","orcid":"https://orcid.org/0000-0002-6367-696X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojun Zhou","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China","Peng Cheng Laboratory, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-6367-696X","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"Peng Cheng Laboratory, Shenzhen, China","institution_ids":["https://openalex.org/I4210136793"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Science Program, Texas A&M University at Qatar, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0001-9610-846X","affiliations":[{"raw_affiliation_string":"Science Program, Texas A&M University at Qatar, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.131,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89128155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"34","issue":"6","first_page":"2722","last_page":"2731"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"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":0.9998999834060669,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9782999753952026,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9514999985694885,"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/convergence","display_name":"Convergence (economics)","score":0.6321446895599365},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5592771172523499},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5417945384979248},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5170558094978333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5146661400794983},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5124354958534241},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47419172525405884},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4534374475479126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36980101466178894},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2224336564540863},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1046028733253479},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06697267293930054}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6321446895599365},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5592771172523499},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5417945384979248},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5170558094978333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5146661400794983},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5124354958534241},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47419172525405884},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4534374475479126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36980101466178894},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2224336564540863},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1046028733253479},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06697267293930054},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":2,"locations":[{"id":"doi:10.1109/tnnls.2021.3107550","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2021.3107550","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:34487504","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34487504","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2284030266","display_name":null,"funder_award_id":"NPRP 9-466-1-103","funder_id":"https://openalex.org/F4320332753","funder_display_name":"Qatar National Research Fund"}],"funders":[{"id":"https://openalex.org/F4320332753","display_name":"Qatar National Research Fund","ror":"https://ror.org/01svaqq28"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1487586009","https://openalex.org/W1517236425","https://openalex.org/W1595466107","https://openalex.org/W1891098503","https://openalex.org/W1965640670","https://openalex.org/W1985235885","https://openalex.org/W2018547649","https://openalex.org/W2019338681","https://openalex.org/W2023319687","https://openalex.org/W2024303516","https://openalex.org/W2054387317","https://openalex.org/W2081216935","https://openalex.org/W2085194340","https://openalex.org/W2100409338","https://openalex.org/W2104843094","https://openalex.org/W2142072309","https://openalex.org/W2214816543","https://openalex.org/W2291165559","https://openalex.org/W2316895915","https://openalex.org/W2332672415","https://openalex.org/W2523345745","https://openalex.org/W2605628695","https://openalex.org/W2774852867","https://openalex.org/W2794806628","https://openalex.org/W2808809857","https://openalex.org/W2883779947","https://openalex.org/W2897507137","https://openalex.org/W2897975793","https://openalex.org/W2921195528","https://openalex.org/W2940836712","https://openalex.org/W2940942829","https://openalex.org/W2946059050","https://openalex.org/W2963865479","https://openalex.org/W2974113389","https://openalex.org/W2982570199","https://openalex.org/W2999636554","https://openalex.org/W3013111069","https://openalex.org/W3015824753","https://openalex.org/W3021669587","https://openalex.org/W3033338669","https://openalex.org/W3044503720","https://openalex.org/W3046793068","https://openalex.org/W3100484211","https://openalex.org/W3114329882"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W2006389905","https://openalex.org/W4297797135","https://openalex.org/W2904666330","https://openalex.org/W82543781"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,13,38,50,57,77,83,93,106,110,116,129,142,145,156,159],"approximate":[4,76],"optimal":[5,23,64,78],"control":[6,17,33,65],"problem":[7],"for":[8,63,120],"nonlinear":[9,68],"affine":[10],"systems":[11,122,137],"under":[12],"periodic":[14],"event":[15],"triggered":[16],"(PETC)":[18],"strategy.":[19],"In":[20,113],"terms":[21],"of":[22,28,40,67,85,109,135,144,158],"control,":[24,30],"a":[25],"theoretical":[26],"comparison":[27],"continuous":[29,121],"traditional":[31],"event-based":[32],"(ETC),":[34],"and":[35],"PETC":[36,45,62,99],"from":[37,98],"perspective":[39],"stability":[41,143],"convergence,":[42],"concluding":[43],"that":[44,92],"does":[46],"not":[47],"significantly":[48],"affect":[49],"convergence":[51],"rate":[52],"than":[53],"ETC.":[54],"It":[55,89],"is":[56,73,90,123,138],"first":[58],"time":[59,96,108],"to":[60,75,104,140,154],"present":[61],"target":[66],"systems.":[69],"A":[70],"critic":[71],"network":[72],"introduced":[74],"value":[79],"function":[80],"based":[81],"on":[82],"idea":[84],"reinforcement":[86],"learning":[87,111],"(RL).":[88],"proven":[91],"discrete":[94,126],"updating":[95,107],"series":[97],"can":[100],"also":[101],"be":[102],"utilized":[103],"determine":[105],"network.":[112],"this":[114],"way,":[115],"gradient-based":[117],"weight":[118],"estimation":[119],"developed":[124],"in":[125],"form.":[127],"Then,":[128],"uniformly":[130],"ultimately":[131],"bounded":[132],"(UUB)":[133],"condition":[134],"controlled":[136],"analyzed":[139],"ensure":[141],"designed":[146],"method.":[147,160],"Finally,":[148],"two":[149],"illustrative":[150],"examples":[151],"are":[152],"given":[153],"show":[155],"effectiveness":[157]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}