{"id":"https://openalex.org/W3128521811","doi":"https://doi.org/10.1109/tcyb.2021.3049910","title":"Consensusability and Global Optimality of Discrete-Time Linear Multiagent Systems","display_name":"Consensusability and Global Optimality of Discrete-Time Linear Multiagent Systems","publication_year":2021,"publication_date":"2021-02-03","ids":{"openalex":"https://openalex.org/W3128521811","doi":"https://doi.org/10.1109/tcyb.2021.3049910","mag":"3128521811","pmid":"https://pubmed.ncbi.nlm.nih.gov/33531322"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3049910","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3049910","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/A5049563417","display_name":"Tao Feng","orcid":"https://orcid.org/0000-0001-5227-2532"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Feng","raw_affiliation_strings":["School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China","National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"National Engineering Laboratory of Integrated Transportation Big Data Application Technology, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071270286","display_name":"Jilie Zhang","orcid":"https://orcid.org/0000-0002-7025-9515"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jilie Zhang","raw_affiliation_strings":["School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084053056","display_name":"Yin Tong","orcid":"https://orcid.org/0000-0003-1850-0188"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yin Tong","raw_affiliation_strings":["School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100625792","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-2375-9824"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5049563417"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":2.2405,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.87941908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"8","first_page":"8227","last_page":"8238"},"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":0.9993000030517578,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6993263959884644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6931237578392029},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6004073619842529},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5911494493484497},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.48090362548828125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4791918992996216},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46440932154655457},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.45905932784080505},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.412668377161026},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37923067808151245},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3428787589073181},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.32664114236831665},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.3014887571334839},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22385123372077942},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2038523554801941},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1102454662322998}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6993263959884644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6931237578392029},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6004073619842529},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5911494493484497},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.48090362548828125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4791918992996216},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46440932154655457},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.45905932784080505},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.412668377161026},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37923067808151245},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3428787589073181},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.32664114236831665},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.3014887571334839},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22385123372077942},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2038523554801941},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1102454662322998},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3049910","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3049910","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:33531322","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33531322","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":"Affordable and clean energy","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2036897366","display_name":null,"funder_award_id":"61627809","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G555374013","display_name":null,"funder_award_id":"61773322","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8251804959","display_name":null,"funder_award_id":"61803317","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8314232632","display_name":null,"funder_award_id":"61873215","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1970916399","https://openalex.org/W1977880420","https://openalex.org/W2012812921","https://openalex.org/W2035608030","https://openalex.org/W2053836930","https://openalex.org/W2057120428","https://openalex.org/W2059529072","https://openalex.org/W2092215165","https://openalex.org/W2093058682","https://openalex.org/W2105850748","https://openalex.org/W2108383324","https://openalex.org/W2116311939","https://openalex.org/W2122083069","https://openalex.org/W2122375213","https://openalex.org/W2135519533","https://openalex.org/W2135678856","https://openalex.org/W2142430251","https://openalex.org/W2146890818","https://openalex.org/W2147539438","https://openalex.org/W2160643434","https://openalex.org/W2163334725","https://openalex.org/W2166103243","https://openalex.org/W2344118647","https://openalex.org/W2344285673","https://openalex.org/W2345579633","https://openalex.org/W2463523319","https://openalex.org/W2484117929","https://openalex.org/W2744341882","https://openalex.org/W2747755834","https://openalex.org/W2763885997","https://openalex.org/W2781908821","https://openalex.org/W2792799644","https://openalex.org/W2806625057","https://openalex.org/W2883984081","https://openalex.org/W2889090357","https://openalex.org/W2913912362","https://openalex.org/W2915547262","https://openalex.org/W2946046624","https://openalex.org/W2946335319","https://openalex.org/W2963252619","https://openalex.org/W2970444971","https://openalex.org/W3011002522","https://openalex.org/W3013512999","https://openalex.org/W3015106011","https://openalex.org/W3031806147","https://openalex.org/W3043661245","https://openalex.org/W3049201764","https://openalex.org/W3090811472","https://openalex.org/W6682089242","https://openalex.org/W6774931458","https://openalex.org/W6780260527","https://openalex.org/W6782738649"],"related_works":["https://openalex.org/W4289975189","https://openalex.org/W2332423270","https://openalex.org/W2601620533","https://openalex.org/W2621226238","https://openalex.org/W2772943269","https://openalex.org/W2975712646","https://openalex.org/W2126774380","https://openalex.org/W2957845881","https://openalex.org/W2190907321","https://openalex.org/W2114334859"],"abstract_inverted_index":{"The":[0],"consensusability":[1,47],"and":[2,18,43,103,135,146],"global":[3,180],"optimality":[4],"problems":[5],"are":[6,48,56],"solved":[7,188],"for":[8,112,170,189],"the":[9,29,36,53,62,66,70,76,79,84,87,91,97,100,104,109,119,128,138,160,164,167,171,179,182,190,202,205],"discrete-time":[10,37,114],"linear":[11,38,115],"multiagent":[12],"system":[13,110],"(MAS)":[14],"with":[15],"marginally":[16,172,191],"stable":[17,173,192],"strictly":[19],"unstable":[20,63],"dynamics.":[21,68],"A":[22],"unified":[23],"framework":[24],"is":[25,125,132,142,187,198],"proposed":[26],"by":[27,73],"capturing":[28],"maximal":[30,101],"disc-guaranteed":[31],"gain":[32],"margin":[33],"(GGM)":[34],"of":[35,52,61,65,78,86,90,108,159,178,204],"quadratic":[39],"regulator":[40],"(LQR).":[41],"Sufficient":[42],"necessary":[44],"conditions":[45],"on":[46,166],"established.":[49],"Two":[50],"bounds":[51],"consensus":[54,80,131,161,184],"region":[55,81],"derived":[57],"only":[58,136],"in":[59],"terms":[60],"eigenvalues":[64,150,168],"agent'":[67,92],"For":[69],"single-input":[71,113],"MAS,":[72],"proving":[74],"that":[75,127],"radius":[77],"exactly":[82],"equals":[83],"reciprocal":[85],"Mahler":[88],"measure":[89],"dynamics,":[93],"we":[94],"incidentally":[95],"reveal":[96],"relation":[98],"between":[99],"GGM":[102],"intrinsic":[105],"entropy":[106],"rate":[107],"dynamics":[111],"systems.":[116],"By":[117],"employing":[118],"inverse":[120],"optimal":[121,130],"control":[122,185],"approach,":[123],"it":[124],"proved":[126],"globally":[129],"achieved,":[133],"if":[134,137],"associated":[139],"Laplacian":[140],"matrix":[141,145],"a":[143,156,195],"simple":[144],"all":[147],"its":[148],"nonzero":[149],"can":[151],"be":[152],"radially":[153],"projected":[154],"into":[155],"specific":[157],"subset":[158],"region.":[162],"Moreover,":[163],"limitation":[165],"vanishes":[169],"MAS.":[174,193],"As":[175],"an":[176],"application":[177],"optimality,":[181],"minimum-energy-distributed":[183],"problem":[186],"Finally,":[194],"numerical":[196],"example":[197],"given":[199],"to":[200],"demonstrate":[201],"effectiveness":[203],"obtained":[206],"results.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}