{"id":"https://openalex.org/W3197370101","doi":"https://doi.org/10.1109/tac.2021.3108517","title":"Positive Consensus of Directed Multiagent Systems","display_name":"Positive Consensus of Directed Multiagent Systems","publication_year":2021,"publication_date":"2021-08-30","ids":{"openalex":"https://openalex.org/W3197370101","doi":"https://doi.org/10.1109/tac.2021.3108517","mag":"3197370101"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3108517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3108517","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5040956712","display_name":"Jason J. R. Liu","orcid":"https://orcid.org/0000-0003-4100-9813"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Jason J. R. Liu","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010625452","display_name":"Nachuan Yang","orcid":"https://orcid.org/0000-0002-3276-1790"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Nachuan Yang","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049212334","display_name":"Ka\u2010Wai Kwok","orcid":"https://orcid.org/0000-0003-1879-9730"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ka-Wai Kwok","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038930344","display_name":"James Lam","orcid":"https://orcid.org/0000-0002-0294-0640"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"James Lam","raw_affiliation_strings":["Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040956712"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":4.3222,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.94415862,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"67","issue":"7","first_page":"3641","last_page":"3646"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.7450300455093384},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.709618866443634},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.6906470656394958},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.6266361474990845},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.6085354089736938},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.5373491048812866},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.526185154914856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5235514044761658},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5204468369483948},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.46613213419914246},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4529017210006714},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.42119723558425903},{"id":"https://openalex.org/keywords/adjacency-matrix","display_name":"Adjacency matrix","score":0.4105243384838104},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4094749093055725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3896873891353607},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3160989284515381},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15763479471206665},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10215258598327637},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0899462103843689}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.7450300455093384},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.709618866443634},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.6906470656394958},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.6266361474990845},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.6085354089736938},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.5373491048812866},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.526185154914856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5235514044761658},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5204468369483948},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.46613213419914246},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4529017210006714},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.42119723558425903},{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.4105243384838104},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4094749093055725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3896873891353607},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3160989284515381},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15763479471206665},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10215258598327637},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0899462103843689},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2021.3108517","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3108517","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-118326","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-85133686053&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W12896811","https://openalex.org/W239577987","https://openalex.org/W1567268701","https://openalex.org/W1977317702","https://openalex.org/W1987514637","https://openalex.org/W1998121032","https://openalex.org/W1999190365","https://openalex.org/W2008668719","https://openalex.org/W2054307315","https://openalex.org/W2054819494","https://openalex.org/W2058221907","https://openalex.org/W2083891624","https://openalex.org/W2084603600","https://openalex.org/W2095236308","https://openalex.org/W2096933574","https://openalex.org/W2129891269","https://openalex.org/W2131920939","https://openalex.org/W2146890818","https://openalex.org/W2151436648","https://openalex.org/W2165469059","https://openalex.org/W2166103243","https://openalex.org/W2234065644","https://openalex.org/W2344594675","https://openalex.org/W2513938788","https://openalex.org/W2560463610","https://openalex.org/W2570980591","https://openalex.org/W2604130312","https://openalex.org/W2617493331","https://openalex.org/W2618789048","https://openalex.org/W2623040701","https://openalex.org/W2744103732","https://openalex.org/W2756942019","https://openalex.org/W2785097717","https://openalex.org/W2806936045","https://openalex.org/W2884857612","https://openalex.org/W2911278547","https://openalex.org/W2979727209","https://openalex.org/W2989978509","https://openalex.org/W2994872199","https://openalex.org/W3011495404","https://openalex.org/W3099677283","https://openalex.org/W3102692093","https://openalex.org/W3111008678","https://openalex.org/W3124795619","https://openalex.org/W3166143222","https://openalex.org/W4230962939","https://openalex.org/W4235143360"],"related_works":["https://openalex.org/W2601620533","https://openalex.org/W3085903267","https://openalex.org/W2980902902","https://openalex.org/W1979834611","https://openalex.org/W2938096743","https://openalex.org/W2754379988","https://openalex.org/W4308477935","https://openalex.org/W1557246723","https://openalex.org/W2086661292","https://openalex.org/W3197370101"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"investigates":[3],"the":[4,17,34,62,66,89,92,95,99,104,125,144,156,159],"positive":[5,22,112,122],"consensus":[6,123],"problem":[7,30,59],"of":[8,27,41,65,94,124,146,158],"multiagent":[9,67,127],"systems":[10,114],"with":[11],"directed":[12,50,72,126],"communication":[13,38,63],"topologies,":[14],"where":[15,36],"all":[16],"agents":[18],"have":[19],"identical":[20],"continuous-time":[21],"linear":[23,113,133],"dynamics.":[24],"Existing":[25],"works":[26],"such":[28],"a":[29,76,81],"mainly":[31],"focus":[32],"on":[33,103,121],"case,":[35],"networked":[37],"topologies":[39,64],"are":[40,69,129,152],"either":[42],"undirected":[43],"and":[44,84,98,111,118],"incomplete":[45],"graphs,":[46],"or":[47],"strongly":[48],"connected":[49],"graphs.":[51],"In":[52],"contrast":[53],"to":[54,88,154],"them,":[55],"we":[56],"study":[57],"this":[58],"in":[60,107],"which":[61,79],"system":[68,128],"described":[70],"by":[71],"graphs":[73],"each":[74],"containing":[75],"spanning":[77],"tree,":[78],"is":[80,141],"more":[82],"general":[83],"new":[85],"scenario":[86],"due":[87],"interplay":[90],"between":[91],"eigenvalues":[93],"Laplacian":[96],"matrix":[97,134],"controller":[100],"gains.":[101],"Based":[102],"existing":[105],"results":[106],"spectral":[108],"graph":[109],"theory":[110],"theory,":[115],"several":[116,149],"necessary,":[117],"sufficient":[119],"conditions":[120],"derived":[130],"through":[131],"using":[132],"inequality":[135],"techniques.":[136],"A":[137],"primal-dual":[138],"iterative":[139],"algorithm":[140],"developed":[142],"for":[143],"computation":[145],"solutions.":[147],"Finally,":[148],"numerical":[150],"simulations":[151],"provided":[153],"illustrate":[155],"effectiveness":[157],"proposed":[160],"theoretical":[161],"results.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}