{"id":"https://openalex.org/W3104454753","doi":"https://doi.org/10.1109/iecon43393.2020.9254663","title":"Leader-Following Consensus of Stochastic Dynamical Multi-Agent Systems Under PI Control","display_name":"Leader-Following Consensus of Stochastic Dynamical Multi-Agent Systems Under PI Control","publication_year":2020,"publication_date":"2020-10-18","ids":{"openalex":"https://openalex.org/W3104454753","doi":"https://doi.org/10.1109/iecon43393.2020.9254663","mag":"3104454753"},"language":"en","primary_location":{"id":"doi:10.1109/iecon43393.2020.9254663","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iecon43393.2020.9254663","pdf_url":null,"source":{"id":"https://openalex.org/S4363608618","display_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","raw_type":"proceedings-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/A5004170577","display_name":"Haibo Gu","orcid":"https://orcid.org/0000-0002-1972-4194"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Haibo Gu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100451446","display_name":"Kexin Liu","orcid":"https://orcid.org/0000-0003-4328-6339"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kexin Liu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027725400","display_name":"Jinhu L\u00fc","orcid":"https://orcid.org/0000-0003-0275-8387"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhu Lu","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100384129","display_name":"Zhang Ren","orcid":"https://orcid.org/0000-0002-6109-4085"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang Ren","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beijing Advanced Innovation Center for Big Data and Brain Computing, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004170577"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15937203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":null,"first_page":"285","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"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":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9886000156402588,"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.9740999937057495,"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/multi-agent-system","display_name":"Multi-agent system","score":0.7256470918655396},{"id":"https://openalex.org/keywords/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.6600790619850159},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5724986791610718},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5642096400260925},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5257773399353027},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.4962032437324524},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.49592074751853943},{"id":"https://openalex.org/keywords/swarm-intelligence","display_name":"Swarm intelligence","score":0.48243793845176697},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4813169240951538},{"id":"https://openalex.org/keywords/swarm-behaviour","display_name":"Swarm behaviour","score":0.4589662551879883},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42856431007385254},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.412769615650177},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.41082391142845154},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.39143866300582886},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3684576451778412},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3189697265625},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16616234183311462},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.07868978381156921},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07278898358345032}],"concepts":[{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.7256470918655396},{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.6600790619850159},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5724986791610718},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5642096400260925},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5257773399353027},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.4962032437324524},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.49592074751853943},{"id":"https://openalex.org/C119487961","wikidata":"https://www.wikidata.org/wiki/Q863960","display_name":"Swarm intelligence","level":3,"score":0.48243793845176697},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4813169240951538},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.4589662551879883},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42856431007385254},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.412769615650177},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.41082391142845154},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.39143866300582886},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3684576451778412},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3189697265625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16616234183311462},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.07868978381156921},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07278898358345032},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iecon43393.2020.9254663","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iecon43393.2020.9254663","pdf_url":null,"source":{"id":"https://openalex.org/S4363608618","display_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320337504","display_name":"Research and Development","ror":"https://ror.org/027s68j25"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1494628843","https://openalex.org/W1509185796","https://openalex.org/W2016910787","https://openalex.org/W2017429699","https://openalex.org/W2041151345","https://openalex.org/W2062533676","https://openalex.org/W2072406659","https://openalex.org/W2123738293","https://openalex.org/W2145554346","https://openalex.org/W2146804198","https://openalex.org/W2147326597","https://openalex.org/W2160643434","https://openalex.org/W2166103243","https://openalex.org/W2241956900","https://openalex.org/W2394876098","https://openalex.org/W2405558304","https://openalex.org/W2484117929","https://openalex.org/W2524842917","https://openalex.org/W2765956954","https://openalex.org/W2773015394","https://openalex.org/W2948871169","https://openalex.org/W3210839039","https://openalex.org/W6630393409","https://openalex.org/W6681893663"],"related_works":["https://openalex.org/W4308079021","https://openalex.org/W1527337688","https://openalex.org/W2399799070","https://openalex.org/W2048054807","https://openalex.org/W2746377055","https://openalex.org/W4386001959","https://openalex.org/W2594296178","https://openalex.org/W3089846858","https://openalex.org/W3012322385","https://openalex.org/W4304182880"],"abstract_inverted_index":{"With":[0],"the":[1,21,43,59,80,86],"development":[2],"of":[3,11,24,62],"swarm":[4],"intelligence":[5],"in":[6,27,38,71],"last":[7],"decades,":[8],"consensus":[9,26,61],"problem":[10],"multi-agent":[12,28,66],"systems":[13,29,67],"has":[14],"been":[15],"attracting":[16],"much":[17],"attention.":[18],"To":[19],"reveal":[20],"inherent":[22],"mechanism":[23],"leader-following":[25,60],"with":[30],"stochastic":[31,44,64],"dynamics,":[32],"PI":[33,81],"control":[34,82],"protocols":[35],"are":[36,76,89],"designed":[37],"this":[39],"paper.":[40],"Owing":[41],"to":[42,78],"analysis":[45],"techniques,":[46],"algebraic":[47],"graph":[48],"theory,":[49],"and":[50],"constructing":[51],"appropriate":[52],"Lyapunov":[53],"function,":[54],"it":[55],"is":[56],"proved":[57],"that":[58],"nonlinear":[63],"dynamical":[65],"can":[68],"be":[69],"reached":[70],"mean":[72],"square.":[73],"Sufficient":[74],"condition":[75],"deduced":[77],"select":[79],"protocol":[83],"parameters.":[84],"Finally,":[85],"theoretical":[87],"results":[88],"demonstrated":[90],"through":[91],"a":[92],"simulation":[93],"example.":[94]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}