{"id":"https://openalex.org/W7133565742","doi":"https://doi.org/10.1109/tcyb.2026.3666959","title":"Time-Varying HJBE-Based Adaptive Safe Critic Control Design for Stochastic Asymmetric Constrained Multiagent Systems","display_name":"Time-Varying HJBE-Based Adaptive Safe Critic Control Design for Stochastic Asymmetric Constrained Multiagent Systems","publication_year":2026,"publication_date":"2026-03-04","ids":{"openalex":"https://openalex.org/W7133565742","doi":"https://doi.org/10.1109/tcyb.2026.3666959","pmid":"https://pubmed.ncbi.nlm.nih.gov/41779650"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2026.3666959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2026.3666959","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","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/A5101761764","display_name":"Yuhao Zhou","orcid":"https://orcid.org/0000-0002-4004-1195"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhao Zhou","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-4004-1195","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012004938","display_name":"Biao Luo","orcid":"https://orcid.org/0000-0002-3353-2586"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Luo","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-3353-2586","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097223141","display_name":"Xiaodong Xu","orcid":null},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaodong Xu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-4795-9967","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128075185","display_name":"Yalin Wang","orcid":null},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yalin Wang","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-1876-7707","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5128105743","display_name":"Weihua Gui","orcid":null},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Gui","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-0312-436X","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":12.3448,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.98197318,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"56","issue":"7","first_page":"4120","last_page":"4131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.5554999709129333,"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":0.5554999709129333,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.08969999849796295,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.05169999971985817,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4499000012874603},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4311999976634979},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4092999994754791},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.35010001063346863},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.3271999955177307},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.29739999771118164}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5820000171661377},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4499000012874603},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4311999976634979},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4092999994754791},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3361000120639801},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3125999867916107},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.29739999771118164},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.26910001039505005},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.25920000672340393},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2026.3666959","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2026.3666959","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:41779650","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41779650","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 cybernetics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1342224670","display_name":null,"funder_award_id":"U2341216","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5886857171","display_name":null,"funder_award_id":"62373375","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/F4320335880","display_name":"Fundamental Research Funds for Central Universities of the Central South University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W2029974343","https://openalex.org/W2035250412","https://openalex.org/W2075175322","https://openalex.org/W2167040191","https://openalex.org/W2522467183","https://openalex.org/W2568625502","https://openalex.org/W2795219039","https://openalex.org/W2886857759","https://openalex.org/W2963252619","https://openalex.org/W3024052916","https://openalex.org/W3080681337","https://openalex.org/W3091302986","https://openalex.org/W3107109337","https://openalex.org/W3114263192","https://openalex.org/W3135757144","https://openalex.org/W3180942476","https://openalex.org/W3197820042","https://openalex.org/W4200190368","https://openalex.org/W4205733025","https://openalex.org/W4285293172","https://openalex.org/W4310462607","https://openalex.org/W4312531752","https://openalex.org/W4366084253","https://openalex.org/W4379743357","https://openalex.org/W4390285263","https://openalex.org/W4390660050","https://openalex.org/W4399485396","https://openalex.org/W4400770636","https://openalex.org/W4401326108","https://openalex.org/W4401417681","https://openalex.org/W4401506918","https://openalex.org/W4402547334","https://openalex.org/W4403277899","https://openalex.org/W4405489201","https://openalex.org/W4405518171","https://openalex.org/W4406753950","https://openalex.org/W4407128540","https://openalex.org/W4409310594","https://openalex.org/W4409426588","https://openalex.org/W4409534172","https://openalex.org/W4409916721","https://openalex.org/W4410887227","https://openalex.org/W4411599968","https://openalex.org/W4411996969","https://openalex.org/W4413138445","https://openalex.org/W4414223064","https://openalex.org/W4414223098","https://openalex.org/W4414564442"],"related_works":[],"abstract_inverted_index":{"In":[0,54],"this":[1,115],"article,":[2],"we":[3],"investigate":[4],"the":[5,40,46,80,126,129,148,153,161,165,176,181],"problem":[6,44],"of":[7,49,164,180],"adaptive":[8],"safe":[9],"critic":[10,166],"control":[11,43,134],"design":[12],"for":[13],"stochastic":[14,89],"multiagent":[15],"systems":[16],"(MASs)":[17],"subject":[18],"to":[19,38,62,124,128,174],"asymmetric":[20,28],"state":[21,29],"and":[22,91,99,131,146,178],"input":[23,64],"constraints.":[24],"To":[25,95,141],"systematically":[26],"address":[27,63],"constraints,":[30],"a":[31,56,71,118],"unified":[32],"transformation":[33],"function":[34,59],"(UTF)":[35],"is":[36,60,76,112,122,158],"proposed":[37,182],"convert":[39],"constrained":[41],"consensus":[42],"into":[45,160],"stability":[47],"analysis":[48],"an":[50,106],"unconstrained":[51],"error":[52],"system.":[53],"addition,":[55],"nonquadratic":[57],"cost":[58],"incorporated":[61,159],"limitations":[65],"effectively.":[66],"Building":[67],"upon":[68],"these":[69],"developments,":[70],"time-varying":[72,119],"Hamilton-Jacobi-Bellman":[73],"equation":[74],"(HJBE)":[75],"formulated":[77],"by":[78],"integrating":[79],"Bellman":[81],"optimality":[82],"principle":[83],"with":[84],"It\u00f4's":[85],"lemma,":[86],"thereby":[87,136],"accommodating":[88],"disturbances":[90],"enhancing":[92],"controller":[93],"robustness.":[94],"improve":[96],"data":[97],"utilization":[98],"eliminate":[100],"reliance":[101],"on":[102],"explicit":[103],"drift":[104],"dynamics,":[105],"integral":[107],"reinforcement":[108],"learning":[109,144],"(IRL)":[110],"algorithm":[111],"developed":[113],"within":[114],"framework.":[116],"Furthermore,":[117],"single-critic":[120],"network":[121],"designed":[123],"approximate":[125],"solution":[127],"HJBE":[130],"generate":[132],"optimal":[133],"policies,":[135],"considerably":[137],"reducing":[138],"computational":[139],"complexity.":[140],"further":[142],"enhance":[143],"efficiency":[145],"relax":[147],"persistent":[149],"excitation":[150],"(PE)":[151],"condition,":[152],"experience":[154],"replay":[155],"(ER)":[156],"technique":[157],"update":[162],"process":[163],"weight.":[167],"Finally,":[168],"two":[169],"simulation":[170],"examples":[171],"are":[172],"provided":[173],"verify":[175],"feasibility":[177],"effectiveness":[179],"approach.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-08-22T07:34:49.880490","created_date":"2026-03-05T00:00:00"}