{"id":"https://openalex.org/W2889834506","doi":"https://doi.org/10.1109/tcyb.2018.2856510","title":"Finite-Horizon Optimal Consensus Control for Unknown Multiagent State-Delay Systems","display_name":"Finite-Horizon Optimal Consensus Control for Unknown Multiagent State-Delay Systems","publication_year":2018,"publication_date":"2018-09-21","ids":{"openalex":"https://openalex.org/W2889834506","doi":"https://doi.org/10.1109/tcyb.2018.2856510","mag":"2889834506","pmid":"https://pubmed.ncbi.nlm.nih.gov/30207970"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2018.2856510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2856510","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/A5020669784","display_name":"Huaipin Zhang","orcid":"https://orcid.org/0000-0001-6405-1382"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]},{"id":"https://openalex.org/I55240360","display_name":"Yeungnam University","ror":"https://ror.org/05yc6p159","country_code":"KR","type":"education","lineage":["https://openalex.org/I55240360"]}],"countries":["CN","KR"],"is_corresponding":true,"raw_author_name":"Huaipin Zhang","raw_affiliation_strings":["Department of Electrical Engineering, Yeungnam University, Gyongsan, South Korea","Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yeungnam University, Gyongsan, South Korea","institution_ids":["https://openalex.org/I55240360"]},{"raw_affiliation_string":"Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029473053","display_name":"Ju H. Park","orcid":"https://orcid.org/0000-0002-0218-2333"},"institutions":[{"id":"https://openalex.org/I55240360","display_name":"Yeungnam University","ror":"https://ror.org/05yc6p159","country_code":"KR","type":"education","lineage":["https://openalex.org/I55240360"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ju H. Park","raw_affiliation_strings":["Department of Electrical Engineering, Yeungnam University, Gyongsan, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yeungnam University, Gyongsan, South Korea","institution_ids":["https://openalex.org/I55240360"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100727487","display_name":"Dong Yue","orcid":"https://orcid.org/0000-0001-7810-9338"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dong Yue","raw_affiliation_strings":["Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066409796","display_name":"Xiangpeng Xie","orcid":"https://orcid.org/0000-0003-4822-3134"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangpeng Xie","raw_affiliation_strings":["Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5020669784"],"corresponding_institution_ids":["https://openalex.org/I41198531","https://openalex.org/I55240360"],"apc_list":null,"apc_paid":null,"fwci":2.2212,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.8961566,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"50","issue":"2","first_page":"402","last_page":"413"},"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/T12047","display_name":"Viral Infections and Vectors","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9684000015258789,"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/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.8903870582580566},{"id":"https://openalex.org/keywords/reinforcement-learning","display_name":"Reinforcement learning","score":0.7977495193481445},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7106310129165649},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6430302858352661},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.624016523361206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5610471367835999},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.554063081741333},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5462285280227661},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4930863082408905},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.48941460251808167},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48470497131347656},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.47586482763290405},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4593330919742584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2987132966518402},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18038606643676758},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13941946625709534}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.8903870582580566},{"id":"https://openalex.org/C97541855","wikidata":"https://www.wikidata.org/wiki/Q830687","display_name":"Reinforcement learning","level":2,"score":0.7977495193481445},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7106310129165649},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6430302858352661},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.624016523361206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5610471367835999},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.554063081741333},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5462285280227661},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4930863082408905},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.48941460251808167},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48470497131347656},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.47586482763290405},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4593330919742584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2987132966518402},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18038606643676758},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13941946625709534},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2018.2856510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2018.2856510","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:30207970","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/30207970","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":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6600000262260437,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G727508383","display_name":null,"funder_award_id":"61773221","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7450446194","display_name":null,"funder_award_id":"NRF-2017R1A2B2004671","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G8801710419","display_name":null,"funder_award_id":"61533010","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/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1162378864","https://openalex.org/W1967302647","https://openalex.org/W1984947784","https://openalex.org/W1991119064","https://openalex.org/W2012451615","https://openalex.org/W2025268122","https://openalex.org/W2027197837","https://openalex.org/W2046386580","https://openalex.org/W2057484415","https://openalex.org/W2079684373","https://openalex.org/W2082409544","https://openalex.org/W2086977346","https://openalex.org/W2108286682","https://openalex.org/W2108383324","https://openalex.org/W2139416664","https://openalex.org/W2142430251","https://openalex.org/W2148439597","https://openalex.org/W2217864392","https://openalex.org/W2232042528","https://openalex.org/W2251632681","https://openalex.org/W2283198471","https://openalex.org/W2299109138","https://openalex.org/W2310259494","https://openalex.org/W2320262435","https://openalex.org/W2430619152","https://openalex.org/W2528298532","https://openalex.org/W2530077971","https://openalex.org/W2548277951","https://openalex.org/W2580629550","https://openalex.org/W2590302930","https://openalex.org/W2606378794","https://openalex.org/W2611346233","https://openalex.org/W2730095629","https://openalex.org/W2731705894","https://openalex.org/W2734756920","https://openalex.org/W2740962288","https://openalex.org/W2765454702","https://openalex.org/W2768907917","https://openalex.org/W2779603336","https://openalex.org/W2790958326","https://openalex.org/W2797305442","https://openalex.org/W2908157557","https://openalex.org/W2963609304","https://openalex.org/W3147444167","https://openalex.org/W6696128405","https://openalex.org/W6741837301","https://openalex.org/W6748908275","https://openalex.org/W6758036437"],"related_works":["https://openalex.org/W2032834442","https://openalex.org/W3153900688","https://openalex.org/W2115544975","https://openalex.org/W2902017027","https://openalex.org/W1654696814","https://openalex.org/W4291598237","https://openalex.org/W2766998270","https://openalex.org/W4292330635","https://openalex.org/W3168988147","https://openalex.org/W3144594103"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"finite-horizon":[3],"optimal":[4,20,44,89],"consensus":[5,21,45,90],"control":[6,22,91],"problem":[7],"for":[8,68,104],"unknown":[9],"multiagent":[10],"systems":[11],"with":[12],"state":[13,56],"delays.":[14],"It":[15],"is":[16,23,38,77],"well":[17],"known":[18],"that":[19],"the":[24,27,42,48,54,60,63,81,95,105,111,118,121],"solutions":[25,46],"to":[26,40,47,79,87,116],"coupled":[28,49],"Hamilton-Jacobi-Bellman":[29],"(HJB)":[30],"equations.":[31],"An":[32],"off-policy":[33,123],"reinforcement":[34],"learning":[35],"(RL)":[36],"algorithm":[37],"developed":[39],"learn":[41],"two-stage":[43],"time-varying":[50,82],"HJB":[51],"equations":[52],"using":[53],"measurable":[55],"data":[57],"instead":[58],"of":[59,62,97,120],"knowledge":[61],"state-delayed":[64],"system":[65],"dynamics.":[66],"Subsequently,":[67],"each":[69],"agent,":[70],"a":[71],"single":[72],"critic":[73,106],"neural":[74],"network":[75],"(NN)":[76],"utilized":[78],"approximate":[80],"cost":[83],"function":[84],"and":[85],"help":[86],"calculate":[88],"policy.":[92],"Based":[93],"on":[94],"method":[96],"weighted":[98],"residuals,":[99],"adaptive":[100],"weight":[101],"update":[102],"laws":[103],"NNs":[107],"are":[108,114],"proposed.":[109],"Finally,":[110],"simulation":[112],"results":[113],"provided":[115],"illustrate":[117],"effectiveness":[119],"proposed":[122],"RL":[124],"method.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}