{"id":"https://openalex.org/W4389917351","doi":"https://doi.org/10.1109/tase.2023.3341801","title":"Adaptive RL Optimized Bipartite Consensus Tracking for Heterogeneous Nonlinear MASs Under a Switching Threshold Event Triggered Strategy","display_name":"Adaptive RL Optimized Bipartite Consensus Tracking for Heterogeneous Nonlinear MASs Under a Switching Threshold Event Triggered Strategy","publication_year":2023,"publication_date":"2023-12-18","ids":{"openalex":"https://openalex.org/W4389917351","doi":"https://doi.org/10.1109/tase.2023.3341801"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3341801","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3341801","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5029380465","display_name":"Ben Niu","orcid":"https://orcid.org/0000-0002-3680-5594"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ben Niu","raw_affiliation_strings":["School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning, China","School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-3680-5594","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning, China","institution_ids":["https://openalex.org/I27357992"]},{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044741996","display_name":"Xiao-An Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-An Wang","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, Jiangsu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016803642","display_name":"Huanqing Wang","orcid":"https://orcid.org/0000-0001-5712-9356"},"institutions":[{"id":"https://openalex.org/I97009856","display_name":"Bohai University","ror":"https://ror.org/01kdzej58","country_code":"CN","type":"education","lineage":["https://openalex.org/I97009856"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huan-Qing Wang","raw_affiliation_strings":["School of Mathematics and Physics, Bohai University, Jinzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-5712-9356","affiliations":[{"raw_affiliation_string":"School of Mathematics and Physics, Bohai University, Jinzhou, China","institution_ids":["https://openalex.org/I97009856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100293825","display_name":"Peilian Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pei-Lian Guo","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Normal University, Jinan, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, Shandong, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051407890","display_name":"Baoyi Zhang","orcid":"https://orcid.org/0000-0001-6075-9359"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bao-Yi Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Normal University, Jinan, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, Shandong, China","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0398,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.95931659,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"21","issue":"4","first_page":"7379","last_page":"7389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9926999807357788,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9926999807357788,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9782000184059143,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9595000147819519,"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/bipartite-graph","display_name":"Bipartite graph","score":0.7651821374893188},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6179974675178528},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5816883444786072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5049050450325012},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.44625550508499146},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.44099533557891846},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.25531667470932007},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20730841159820557},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1665745973587036},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.15857288241386414},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1458231806755066},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.09734278917312622}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7651821374893188},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6179974675178528},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5816883444786072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5049050450325012},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.44625550508499146},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.44099533557891846},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.25531667470932007},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20730841159820557},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1665745973587036},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.15857288241386414},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1458231806755066},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.09734278917312622},{"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/tase.2023.3341801","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3341801","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5816532407","display_name":null,"funder_award_id":"61873151","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8184001967","display_name":null,"funder_award_id":"62073201","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1973963158","https://openalex.org/W1985787415","https://openalex.org/W2012812921","https://openalex.org/W2043481280","https://openalex.org/W2104708700","https://openalex.org/W2107396783","https://openalex.org/W2142430251","https://openalex.org/W2262108890","https://openalex.org/W2787722080","https://openalex.org/W2915345851","https://openalex.org/W3000451313","https://openalex.org/W3002190732","https://openalex.org/W3015817284","https://openalex.org/W3041284915","https://openalex.org/W3109197218","https://openalex.org/W3120441334","https://openalex.org/W3124764833","https://openalex.org/W3126204542","https://openalex.org/W3129217906","https://openalex.org/W3135757144","https://openalex.org/W3138567228","https://openalex.org/W3163968277","https://openalex.org/W3166362491","https://openalex.org/W3168831288","https://openalex.org/W3175550459","https://openalex.org/W3175636152","https://openalex.org/W3181437685","https://openalex.org/W3181996048","https://openalex.org/W3196237404","https://openalex.org/W3212694821","https://openalex.org/W3217225814","https://openalex.org/W4210931967","https://openalex.org/W4213432826","https://openalex.org/W4214567503","https://openalex.org/W4224036449","https://openalex.org/W4226053079","https://openalex.org/W4285116591","https://openalex.org/W4285204003","https://openalex.org/W4315489467","https://openalex.org/W4385413737","https://openalex.org/W4385453007","https://openalex.org/W4385756606","https://openalex.org/W4386078159","https://openalex.org/W4388240363"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2512080507","https://openalex.org/W2090870188","https://openalex.org/W2782532368","https://openalex.org/W2996939932","https://openalex.org/W2516503181","https://openalex.org/W3089005085"],"abstract_inverted_index":{"Combining":[0],"with":[1,69,215],"the":[2,34,38,42,51,65,70,74,101,106,115,124,131,137,144,147,152,159,174,186,212,216,237,246,256,288],"reinforcement":[3],"learning":[4],"(RL)":[5],"strategy":[6,110,280],"and":[7,40,105,117,169,263,267,270,281,296],"adaptive":[8,13],"backstepping":[9],"method,":[10],"an":[11,196],"event-triggered-based":[12],"optimized":[14,43],"bipartite":[15,44,132,282],"consensus":[16,133],"control":[17,29,52,126,163,191,198,205,213,220,240,283,309],"protocol":[18,127,206,241],"is":[19,31,62,81,89,111,121,179,200],"constructed":[20],"for":[21,207,231,250],"heterogeneous":[22,139],"nonlinear":[23],"strict-feedback":[24],"multi-agent":[25],"systems":[26],"(MASs).":[27],"The":[28,95,275],"objective":[30],"to":[32,49,99,113,157,165,181,202,210],"synchronize":[33],"state":[35],"variables":[36],"of":[37,136,146,161,189,219,258,291],"MASs":[39,140,209],"obtain":[41],"tracking":[45,134],"performance.":[46],"In":[47,193,222],"order":[48],"finish":[50],"objective,":[53],"a":[54,84,204],"fuzzy":[55],"logic":[56],"system":[57],"(FLS)":[58],"based":[59],"RL":[60,72,75],"method":[61,199],"employed":[63,201],"in":[64,78,261,294,303,315],"critic-actor":[66],"structure.":[67],"Different":[68],"exist":[71],"methods,":[73],"updating":[76],"laws":[77],"this":[79,194],"article":[80],"stemmed":[82],"from":[83],"simple":[85],"positive":[86],"function":[87],"which":[88],"derived":[90],"by":[91],"Hamilton-Jacobi-Bellman":[92],"(HJB)":[93],"equation.":[94],"FLSs":[96],"are":[97,155],"used":[98],"release":[100],"persistence":[102,257],"excitation":[103,259],"condition":[104],"switching":[107,277],"threshold":[108,278],"event-triggered":[109,279],"designed":[112,238],"reduce":[114,245,287],"calculation":[116],"communication":[118],"frequency.":[119],"It":[120],"shown":[122],"that":[123],"developed":[125,276],"not":[128,243],"only":[129,244],"achieves":[130],"performance":[135],"studied":[138],"but":[141,253],"also":[142,254],"maintains":[143],"stability":[145],"whole":[148],"closed-loop":[149],"system.":[150],"Finally,":[151],"simulation":[153],"results":[154],"provided":[156],"demonstrate":[158],"effectiveness":[160],"proposed":[162],"protocol.Note":[164],"Practitioners\u2014Nowadays,":[166],"energy":[167,248],"conservation":[168],"environmental":[170],"protection":[171],"have":[172],"become":[173],"current":[175],"trend.":[176],"Therefor,":[177],"it":[178],"imperative":[180],"consider":[182],"efficiency":[183],"improvement":[184],"as":[185,228],"fundamental":[187],"principle":[188],"modern":[190],"design.":[192],"paper,":[195],"optimal":[197,239],"find":[203],"considered":[208],"accomplish":[211],"task":[214],"minimum":[217],"utilization":[218],"resources.":[221],"some":[223],"practical":[224,295,316],"application":[225],"scenarios":[226],"such":[227],"sea":[229],"voyage":[230],"deep-sea":[232],"exploitation":[233],"or":[234],"ocean":[235],"transportation,":[236],"can":[242,285,311],"massive":[247],"consumption":[249],"surface":[251,304],"vessels":[252,305],"eliminate":[255],"assumption":[260],"Zhang":[262],"Feng":[264],"(2021),":[265],"Tang":[266],"Lau":[268],"(2022),":[269],"Ren":[271],"et":[272],"al.":[273],"(2022).":[274],"design":[284],"effectively":[286],"call":[289],"frequency":[290],"channel":[292],"resources":[293],"divide":[297],"all":[298],"agents":[299],"into":[300],"two":[301],"groups":[302],"collaboration.":[306],"Thus,":[307],"our":[308],"algorithm":[310],"be":[312],"easily":[313],"applied":[314],"engineering.":[317]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":13}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}