{"id":"https://openalex.org/W2731705894","doi":"https://doi.org/10.1109/tcyb.2017.2714173","title":"Distributed Optimal Consensus Control for Multiagent Systems With Input Delay","display_name":"Distributed Optimal Consensus Control for Multiagent Systems With Input Delay","publication_year":2017,"publication_date":"2017-06-27","ids":{"openalex":"https://openalex.org/W2731705894","doi":"https://doi.org/10.1109/tcyb.2017.2714173","mag":"2731705894","pmid":"https://pubmed.ncbi.nlm.nih.gov/28678724"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2017.2714173","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2017.2714173","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/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huaipin Zhang","raw_affiliation_strings":["School of Automation, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"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":"middle","author":{"id":"https://openalex.org/A5100434523","display_name":"Wei Zhao","orcid":"https://orcid.org/0000-0001-8045-2549"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zhao","raw_affiliation_strings":["School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102820325","display_name":"Songlin Hu","orcid":"https://orcid.org/0000-0001-8559-1740"},"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":"Songlin Hu","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/A5041526624","display_name":"Chunxia Dou","orcid":"https://orcid.org/0000-0002-8714-655X"},"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":"Chunxia Dou","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":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5020669784"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":6.6339,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.97366872,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"48","issue":"6","first_page":"1747","last_page":"1759"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9922999739646912,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9884999990463257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.8401914834976196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6208438873291016},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6205986738204956},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6135249137878418},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5685222744941711},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5665371417999268},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5614346265792847},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5445747971534729},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.49789953231811523},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.45784232020378113},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4535149931907654},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.45326799154281616},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3782334327697754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3559122085571289},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12407714128494263}],"concepts":[{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.8401914834976196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6208438873291016},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6205986738204956},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6135249137878418},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5685222744941711},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5665371417999268},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5614346265792847},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5445747971534729},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.49789953231811523},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.45784232020378113},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4535149931907654},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.45326799154281616},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3782334327697754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3559122085571289},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12407714128494263},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2017.2714173","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2017.2714173","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:28678724","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28678724","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":[],"awards":[{"id":"https://openalex.org/G6166943460","display_name":null,"funder_award_id":"BK20151510","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G8059749261","display_name":null,"funder_award_id":"61673223","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"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"},{"id":"https://openalex.org/G8949904497","display_name":null,"funder_award_id":"BK20131381","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G8963355472","display_name":null,"funder_award_id":"61374055","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/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1074958431","https://openalex.org/W1162378864","https://openalex.org/W1919998456","https://openalex.org/W1970203593","https://openalex.org/W1983523797","https://openalex.org/W1995500782","https://openalex.org/W1997382471","https://openalex.org/W2000029621","https://openalex.org/W2001976066","https://openalex.org/W2011150195","https://openalex.org/W2012812921","https://openalex.org/W2024978411","https://openalex.org/W2050838777","https://openalex.org/W2086977346","https://openalex.org/W2093831009","https://openalex.org/W2093848766","https://openalex.org/W2105169766","https://openalex.org/W2108095902","https://openalex.org/W2108383324","https://openalex.org/W2113282439","https://openalex.org/W2128969277","https://openalex.org/W2134569556","https://openalex.org/W2140421308","https://openalex.org/W2150473573","https://openalex.org/W2160643434","https://openalex.org/W2294784467","https://openalex.org/W2345006808","https://openalex.org/W2345265966","https://openalex.org/W2403192338","https://openalex.org/W2417709453","https://openalex.org/W2476930474","https://openalex.org/W2515370279","https://openalex.org/W2515565633","https://openalex.org/W2525747818","https://openalex.org/W2526051344","https://openalex.org/W2530077971","https://openalex.org/W2595011283","https://openalex.org/W2611346233","https://openalex.org/W2963609304","https://openalex.org/W3213472335","https://openalex.org/W6721101066","https://openalex.org/W6734396861","https://openalex.org/W6804409665"],"related_works":["https://openalex.org/W4239477580","https://openalex.org/W2921905705","https://openalex.org/W1632524629","https://openalex.org/W2902017027","https://openalex.org/W2110376385","https://openalex.org/W2766998270","https://openalex.org/W2950982235","https://openalex.org/W4292330635","https://openalex.org/W207287952","https://openalex.org/W2951339426"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,29,55,62,68,77,84,99,112,115,128,146,154,162,179,182],"problem":[4,66],"of":[5,67,76,83,130,145,153,181],"distributed":[6],"optimal":[7,63,89],"consensus":[8,64,143],"control":[9,65,90,164],"for":[10,47,92],"a":[11,36,103,131],"continuous-time":[12,30],"heterogeneous":[13],"linear":[14],"multiagent":[15],"system":[16,32,70,101],"subject":[17],"to":[18,110,114,167,177],"time":[19],"varying":[20],"input":[21],"delays.":[22],"First,":[23],"by":[24,81],"discretization":[25],"and":[26,61,102,149],"model":[27],"transformation,":[28],"input-delayed":[31,69],"is":[33,52,95,108,125,139],"converted":[34],"into":[35,74],"discrete-time":[37],"delay-free":[38,78,100],"system.":[39,79],"Two":[40],"delicate":[41],"performance":[42,56],"index":[43,57],"functions":[44,58],"are":[45,59,157,175],"defined":[46],"these":[48],"two":[49,147,172],"systems.":[50],"It":[51],"shown":[53],"that":[54,75,141],"equivalent":[60],"can":[71],"be":[72],"cast":[73],"Second,":[80],"virtue":[82],"Hamilton-Jacobi-Bellman":[85],"(HJB)":[86],"equations,":[87],"an":[88],"policy":[91],"each":[93],"agent":[94],"designed":[96],"based":[97],"on":[98,127],"novel":[104],"value":[105],"iteration":[106],"algorithm":[107,124],"proposed":[109,120],"learn":[111],"solutions":[113],"HJB":[116],"equations":[117],"online.":[118],"The":[119],"adaptive":[121],"dynamic":[122],"programming":[123],"implemented":[126],"basis":[129],"critic-action":[132,155],"neural":[133],"network":[134],"(NN)":[135],"structure.":[136],"Third,":[137],"it":[138],"proved":[140],"local":[142],"errors":[144,152],"systems":[148],"weight":[150],"estimation":[151],"NNs":[156],"uniformly":[158],"ultimately":[159],"bounded":[160],"while":[161],"approximated":[163],"policies":[165],"converge":[166],"their":[168],"target":[169],"values.":[170],"Finally,":[171],"simulation":[173],"examples":[174],"presented":[176],"illustrate":[178],"effectiveness":[180],"developed":[183],"method.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":11}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}