{"id":"https://openalex.org/W3129145992","doi":"https://doi.org/10.1109/tac.2021.3124985","title":"Group Consensus of Linear Multiagent Systems Under Nonnegative Directed Graphs","display_name":"Group Consensus of Linear Multiagent Systems Under Nonnegative Directed Graphs","publication_year":2021,"publication_date":"2021-11-04","ids":{"openalex":"https://openalex.org/W3129145992","doi":"https://doi.org/10.1109/tac.2021.3124985","mag":"3129145992"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3124985","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3124985","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2102.02118","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055683678","display_name":"Zhongchang Liu","orcid":"https://orcid.org/0000-0002-9729-3318"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongchang Liu","raw_affiliation_strings":["College of Marine Electrical Engineering, Dalian Maritime University, Dalian, China","[College of Marine Electrical Engineering, Dalian Maritime Univeristy, Dalian, Liaoning, China, 116026 (e-mail: zcliu@foxmail.com)]"],"affiliations":[{"raw_affiliation_string":"College of Marine Electrical Engineering, Dalian Maritime University, Dalian, China","institution_ids":["https://openalex.org/I43313876"]},{"raw_affiliation_string":"[College of Marine Electrical Engineering, Dalian Maritime Univeristy, Dalian, Liaoning, China, 116026 (e-mail: zcliu@foxmail.com)]","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039173605","display_name":"Wing Shing Wong","orcid":"https://orcid.org/0000-0001-6357-0981"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Wing Shing Wong","raw_affiliation_strings":["Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong","[Information Eng., Chinese University of Hong Kong, Shatin, NT, China, none (e-mail: wswong@ie.cuhk.edu.hk)]"],"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, The Chinese University of Hong Kong, Shatin, Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"[Information Eng., Chinese University of Hong Kong, Shatin, NT, China, none (e-mail: wswong@ie.cuhk.edu.hk)]","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055683678"],"corresponding_institution_ids":["https://openalex.org/I43313876"],"apc_list":null,"apc_paid":null,"fwci":0.32,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58457929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"67","issue":"11","first_page":"6098","last_page":"6105"},"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":0.9994999766349792,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9940999746322632,"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/mathematics","display_name":"Mathematics","score":0.5784432888031006},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5663028955459595},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5466774106025696},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.5335809588432312},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.503419816493988},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4513288736343384},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.45106369256973267},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.43058502674102783},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.42831748723983765},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4161562919616699},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4014996588230133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2776424288749695},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07709258794784546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5784432888031006},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5663028955459595},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5466774106025696},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.5335809588432312},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.503419816493988},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4513288736343384},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.45106369256973267},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.43058502674102783},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.42831748723983765},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4161562919616699},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4014996588230133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2776424288749695},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07709258794784546},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2021.3124985","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3124985","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:arXiv.org:2102.02118","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.02118","pdf_url":"https://arxiv.org/pdf/2102.02118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3129145992","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2102.02118.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2102.02118","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2102.02118","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2102.02118","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.02118","pdf_url":"https://arxiv.org/pdf/2102.02118","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G1300336954","display_name":null,"funder_award_id":"20180540064","funder_id":"https://openalex.org/F4320323086","funder_display_name":"Natural Science Foundation of Liaoning Province"},{"id":"https://openalex.org/G6551720917","display_name":null,"funder_award_id":"2019J12GX040","funder_id":"https://openalex.org/F4320336584","funder_display_name":"Dalian Science and Technology Innovation Fund"},{"id":"https://openalex.org/G8546703694","display_name":null,"funder_award_id":"61703445","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/F4320323086","display_name":"Natural Science Foundation of Liaoning Province","ror":null},{"id":"https://openalex.org/F4320324196","display_name":"Innovation and Technology Commission - Hong Kong","ror":"https://ror.org/04vf9tr09"},{"id":"https://openalex.org/F4320336584","display_name":"Dalian Science and Technology Innovation Fund","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W607068030","https://openalex.org/W2003569375","https://openalex.org/W2008711923","https://openalex.org/W2013511487","https://openalex.org/W2019229544","https://openalex.org/W2021444019","https://openalex.org/W2021812458","https://openalex.org/W2023167071","https://openalex.org/W2057864643","https://openalex.org/W2065831027","https://openalex.org/W2074978629","https://openalex.org/W2088103590","https://openalex.org/W2103759346","https://openalex.org/W2117817591","https://openalex.org/W2118909312","https://openalex.org/W2149407242","https://openalex.org/W2166103243","https://openalex.org/W2184384388","https://openalex.org/W2246607494","https://openalex.org/W2510701725","https://openalex.org/W2515437828","https://openalex.org/W2517050798","https://openalex.org/W2529002166","https://openalex.org/W2570051964","https://openalex.org/W2754300070","https://openalex.org/W2768184838","https://openalex.org/W2902388117","https://openalex.org/W2912352567","https://openalex.org/W2954028557","https://openalex.org/W2955780589","https://openalex.org/W2963607524","https://openalex.org/W3035596547","https://openalex.org/W3039484756","https://openalex.org/W3099323801","https://openalex.org/W3100828956","https://openalex.org/W3102396825","https://openalex.org/W3124861395","https://openalex.org/W3129436757","https://openalex.org/W4288939032"],"related_works":["https://openalex.org/W3213914768","https://openalex.org/W2619827009","https://openalex.org/W2759412163","https://openalex.org/W2202506485","https://openalex.org/W2963161417","https://openalex.org/W1537328843","https://openalex.org/W3001179876","https://openalex.org/W2311705335","https://openalex.org/W3098082123","https://openalex.org/W2261198898","https://openalex.org/W2537919540","https://openalex.org/W2083522899","https://openalex.org/W2804069578","https://openalex.org/W1484691446","https://openalex.org/W3133194987","https://openalex.org/W2023422828","https://openalex.org/W2326893297","https://openalex.org/W2062135503","https://openalex.org/W2885321421","https://openalex.org/W28249417"],"abstract_inverted_index":{"Group":[0],"consensus":[1,36,109,118],"implies":[2],"reaching":[3],"multiple":[4,117],"groups":[5],"where":[6],"agents":[7],"belonging":[8],"to":[9,58,62,75,78],"the":[10,41,45,88,92,102,113,116,127],"same":[11],"cluster":[12,80],"reach":[13],"state":[14],"consensus.":[15],"This":[16,70],"article":[17],"focuses":[18],"on":[19],"linear":[20],"multiagent":[21],"systems":[22],"under":[23],"nonnegative":[24],"directed":[25,47,68],"graphs.":[26],"A":[27],"new":[28],"necessary":[29],"and":[30,49],"sufficient":[31],"condition":[32,71],"for":[33,87,106],"ensuring":[34],"group":[35,108],"is":[37,72,110,124,131],"derived,":[38],"which":[39],"requires":[40],"spanning":[42,81],"forest":[43],"of":[44,51,67,101,115],"underlying":[46,89],"graph":[48,54,90],"that":[50],"its":[52],"quotient":[53],"induced":[55],"with":[56],"respect":[57],"a":[59,83,95],"clustering":[60],"partition":[61],"contain":[63],"equal":[64],"minimum":[65],"number":[66],"trees.":[69],"further":[73],"shown":[74],"be":[76],"equivalent":[77],"containing":[79],"trees,":[82],"commonly":[84],"used":[85],"topology":[86],"in":[91],"literature.":[93],"Under":[94],"designed":[96],"controller":[97],"gain,":[98],"lower":[99],"bound":[100],"overall":[103,128],"coupling":[104,129],"strength":[105,130],"achieving":[107],"specified.":[111],"Moreover,":[112],"pattern":[114],"states":[119],"formed":[120],"by":[121],"all":[122],"clusters":[123],"characterized":[125],"when":[126],"large":[132],"enough.":[133]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}