{"id":"https://openalex.org/W3125910218","doi":"https://doi.org/10.1080/00207721.2020.1868613","title":"Finite-time consensus for multi-agent systems with nonlinear dynamics under Euler digraph via pinning control","display_name":"Finite-time consensus for multi-agent systems with nonlinear dynamics under Euler digraph via pinning control","publication_year":2021,"publication_date":"2021-01-15","ids":{"openalex":"https://openalex.org/W3125910218","doi":"https://doi.org/10.1080/00207721.2020.1868613","mag":"3125910218"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2020.1868613","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2020.1868613","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5100776476","display_name":"Xiangdong Liu","orcid":"https://orcid.org/0000-0003-4735-4757"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangdong Liu","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081032143","display_name":"Shengchao He","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengchao He","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051131928","display_name":"Pingli Lu","orcid":"https://orcid.org/0000-0002-2980-4454"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pingli Lu","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042696168","display_name":"Haikuo Liu","orcid":"https://orcid.org/0000-0002-0458-722X"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haikuo Liu","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006477267","display_name":"Changkun Du","orcid":"https://orcid.org/0000-0003-1691-714X"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changkun Du","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, People's Republic of China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5051131928"],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":0.9534,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75882882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"52","issue":"8","first_page":"1664","last_page":"1674"},"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":0.9987000226974487,"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":0.9911999702453613,"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/digraph","display_name":"Digraph","score":0.8779059648513794},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7742570638656616},{"id":"https://openalex.org/keywords/settling-time","display_name":"Settling time","score":0.6233309507369995},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.6201196312904358},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.6174324154853821},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5929140448570251},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.4616597294807434},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4571286737918854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4473355710506439},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.41492918133735657},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39213132858276367},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32598912715911865},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.1375194489955902},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11626020073890686},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09143120050430298},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08267179131507874},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08163365721702576},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08037811517715454}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.8779059648513794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7742570638656616},{"id":"https://openalex.org/C14781684","wikidata":"https://www.wikidata.org/wiki/Q3983320","display_name":"Settling time","level":3,"score":0.6233309507369995},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.6201196312904358},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.6174324154853821},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5929140448570251},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.4616597294807434},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4571286737918854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4473355710506439},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.41492918133735657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39213132858276367},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32598912715911865},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.1375194489955902},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11626020073890686},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09143120050430298},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08267179131507874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08163365721702576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08037811517715454},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C160030872","wikidata":"https://www.wikidata.org/wiki/Q2142864","display_name":"Step response","level":2,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2020.1868613","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2020.1868613","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1664-1674","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2020.1868613","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2735742829","display_name":null,"funder_award_id":"60904003,61433003","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":30,"referenced_works":["https://openalex.org/W141418607","https://openalex.org/W1888172398","https://openalex.org/W1982947074","https://openalex.org/W1984744897","https://openalex.org/W2000942852","https://openalex.org/W2010465263","https://openalex.org/W2012540279","https://openalex.org/W2021817752","https://openalex.org/W2031387552","https://openalex.org/W2041833126","https://openalex.org/W2050012402","https://openalex.org/W2062181484","https://openalex.org/W2062692785","https://openalex.org/W2065334122","https://openalex.org/W2067664905","https://openalex.org/W2073136022","https://openalex.org/W2075489015","https://openalex.org/W2083335882","https://openalex.org/W2107396783","https://openalex.org/W2124620758","https://openalex.org/W2136605942","https://openalex.org/W2142325999","https://openalex.org/W2146890818","https://openalex.org/W2171190384","https://openalex.org/W2184707592","https://openalex.org/W2215874340","https://openalex.org/W2886158723","https://openalex.org/W3006672665","https://openalex.org/W3100910681","https://openalex.org/W4205284036"],"related_works":["https://openalex.org/W2784026553","https://openalex.org/W2784200061","https://openalex.org/W2105579141","https://openalex.org/W3046085425","https://openalex.org/W2789508741","https://openalex.org/W3127518712","https://openalex.org/W2118264468","https://openalex.org/W2335243741","https://openalex.org/W2232735820","https://openalex.org/W2511063373"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,30,36,45,96,106,109],"finite-time":[4,59,68],"consensus":[5,69],"problem":[6],"for":[7,70],"multi-agent":[8,71],"systems":[9,72],"with":[10,73],"nonlinear":[11,21,74],"dynamics":[12,75],"under":[13,76],"Euler":[14,77],"digraph.":[15,78],"By":[16],"pinning":[17],"control":[18],"technique,":[19],"a":[20],"distributed":[22],"protocol":[23],"is":[24,64,80,90],"proposed,":[25],"which":[26],"ensures":[27],"that":[28,50,82],"all":[29],"agents":[31],"can":[32],"be":[33,55],"controlled":[34],"to":[35,57,66,94,104],"pinner's":[37],"trajectory":[38],"in":[39],"finite":[40],"time.":[41,98],"Furthermore,":[42],"we":[43],"solve":[44],"challenging":[46],"and":[47],"fundamental":[48],"question":[49],"how":[51],"many":[52],"nodes":[53],"should":[54],"pinned":[56],"reach":[58],"consensus.":[60],"A":[61],"sufficient":[62],"condition":[63],"proposed":[65],"achieve":[67],"It":[79],"found":[81],"adding":[83],"communication":[84],"connections":[85],"or":[86],"increasing":[87],"feedback":[88],"gains":[89],"an":[91],"effective":[92],"way":[93],"reduce":[95],"settling":[97],"Finally,":[99],"numerical":[100],"simulations":[101],"are":[102],"presented":[103],"verify":[105],"effectiveness":[107],"of":[108],"obtained":[110],"theoretical":[111],"results.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-05T09:29:38.588285","created_date":"2025-10-10T00:00:00"}