{"id":"https://openalex.org/W2900446537","doi":"https://doi.org/10.1080/00207721.2018.1542754","title":"Finite-time formation of multiple agents based on multiple virtual leaders","display_name":"Finite-time formation of multiple agents based on multiple virtual leaders","publication_year":2018,"publication_date":"2018-11-11","ids":{"openalex":"https://openalex.org/W2900446537","doi":"https://doi.org/10.1080/00207721.2018.1542754","mag":"2900446537"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2018.1542754","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2018.1542754","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/A5025546736","display_name":"Zhifeng Qiu","orcid":"https://orcid.org/0000-0002-7076-4343"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhifeng Qiu","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","School of Information Science and Engineering, Central South University, Changsha, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112937772","display_name":"Xintao Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I17442442","display_name":"State Grid Corporation of China (China)","ror":"https://ror.org/05twwhs70","country_code":"CN","type":"company","lineage":["https://openalex.org/I17442442"]},{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xintao Zhao","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","State Grid Jiangxi Electric Power Corporation, Nanchang, People\u2019s Republic of China","School of Information Science and Engineering, Central South University, Changsha, People's Republic of China","State Grid Jiangxi Electric Power Corporation, Nanchang, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"State Grid Jiangxi Electric Power Corporation, Nanchang, People\u2019s Republic of China","institution_ids":[]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"State Grid Jiangxi Electric Power Corporation, Nanchang, People's Republic of China","institution_ids":["https://openalex.org/I17442442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100670858","display_name":"Siming Li","orcid":"https://orcid.org/0000-0001-8918-603X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siming Li","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","School of Information Science and Engineering, Central South University, Changsha, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035923986","display_name":"Yongfang Xie","orcid":"https://orcid.org/0000-0002-2060-6574"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongfang Xie","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","School of Information Science and Engineering, Central South University, Changsha, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100630346","display_name":"Chaoyang Chen","orcid":"https://orcid.org/0000-0002-8095-399X"},"institutions":[{"id":"https://openalex.org/I121296143","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24","country_code":"CN","type":"education","lineage":["https://openalex.org/I121296143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chaoyang Chen","raw_affiliation_strings":["School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, People\u2019s Republic of China","School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I121296143"]},{"raw_affiliation_string":"School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, People's Republic of China","institution_ids":["https://openalex.org/I121296143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100711520","display_name":"Weihua Gui","orcid":"https://orcid.org/0000-0002-5337-6445"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Gui","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","School of Information Science and Engineering, Central South University, Changsha, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, People's Republic of China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100630346"],"corresponding_institution_ids":["https://openalex.org/I121296143"],"apc_list":null,"apc_paid":null,"fwci":0.5536,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71252541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"16","first_page":"3448","last_page":"3458"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9894000291824341,"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":0.9890999794006348,"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/control-theory","display_name":"Control theory (sociology)","score":0.6047860383987427},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5601025223731995},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5592037439346313},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5526639819145203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5298706293106079},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5005042552947998},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.4766193926334381},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4689110517501831},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.46204277873039246},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4583311676979065},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4368700385093689},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3586820662021637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32492995262145996},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.32123249769210815},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.13671788573265076},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09786835312843323}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6047860383987427},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5601025223731995},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5592037439346313},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5526639819145203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5298706293106079},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5005042552947998},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.4766193926334381},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4689110517501831},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.46204277873039246},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4583311676979065},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4368700385093689},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3586820662021637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32492995262145996},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.32123249769210815},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.13671788573265076},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09786835312843323},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2018.1542754","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2018.1542754","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:49:y:2018:i:16:p:3448-3458","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2018.1542754","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":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G6832222199","display_name":null,"funder_award_id":"61403429,61621062,61772473,61725306","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":28,"referenced_works":["https://openalex.org/W91038577","https://openalex.org/W1503439909","https://openalex.org/W1556831891","https://openalex.org/W1964501894","https://openalex.org/W1975889134","https://openalex.org/W1988837728","https://openalex.org/W2005525403","https://openalex.org/W2021817752","https://openalex.org/W2047340799","https://openalex.org/W2080688746","https://openalex.org/W2084624930","https://openalex.org/W2091755184","https://openalex.org/W2095138352","https://openalex.org/W2105850748","https://openalex.org/W2105964571","https://openalex.org/W2107396783","https://openalex.org/W2110267438","https://openalex.org/W2134142758","https://openalex.org/W2136605942","https://openalex.org/W2151747037","https://openalex.org/W2154608673","https://openalex.org/W2158503284","https://openalex.org/W2207816566","https://openalex.org/W2553486760","https://openalex.org/W2562706957","https://openalex.org/W4234406933","https://openalex.org/W6630939578","https://openalex.org/W6633202986"],"related_works":["https://openalex.org/W2009168760","https://openalex.org/W1563225472","https://openalex.org/W1495650726","https://openalex.org/W2210722882","https://openalex.org/W2383820201","https://openalex.org/W2921511626","https://openalex.org/W2534107666","https://openalex.org/W170012745","https://openalex.org/W1493913984","https://openalex.org/W2054744054"],"abstract_inverted_index":{"The":[0,170],"finite-time":[1,15,70,136],"formation":[2,32,59,71,124,143],"problem":[3],"of":[4,102,121,172],"multiple":[5,52,65],"agents":[6,66,92,117],"aims":[7],"to":[8,13,39,67],"find":[9],"a":[10,41,58,63,79,84,147],"control":[11,85],"protocol":[12],"guarantee":[14],"consensus,":[16],"in":[17,23,29,51,100,128,149],"which":[18,138],"every":[19],"agent":[20,77],"can":[21,93,109,125],"be":[22,126],"the":[24,30,69,74,91,107,112,119,122,132,141,153,160,173],"right":[25],"position":[26],"and":[27,82,104,118,166],"keep":[28,94],"given":[31],"configuration":[33],"efficiently.":[34],"However,":[35],"it":[36],"is":[37,87,135,144,156,175],"hard":[38],"achieve":[40],"stable":[42],"state":[43],"if":[44],"only":[45],"by":[46,158,177],"setting":[47],"one":[48],"virtual":[49,80,98],"leader":[50],"tasks":[53],"system.":[54],"This":[55],"paper":[56],"presents":[57],"controller":[60,108],"design":[61],"for":[62],"second-order":[64],"address":[68],"problem.":[72],"In":[73],"procedure,":[75],"each":[76],"has":[78],"leader,":[81],"then":[83],"law":[86],"designed":[88],"so":[89],"that":[90,111,140],"pace":[95],"with":[96],"their":[97],"leaders":[99],"terms":[101],"speed":[103],"position.":[105],"Accordingly,":[106],"ensure":[110],"relative":[113],"positions":[114],"among":[115],"different":[116],"trajectory":[120],"whole":[123],"specified":[127],"advance.":[129],"Moreover,":[130],"since":[131],"closed-loop":[133],"system":[134,168],"stable,":[137],"implies":[139],"required":[142],"attainable":[145],"without":[146],"deviation":[148],"finite":[150],"time.":[151],"Finally,":[152],"stability":[154,164],"analysis":[155],"proved":[157],"applying":[159],"graph":[161],"theory,":[162],"Lyapunov":[163],"theory":[165],"homogeneous":[167],"theory.":[169],"effectiveness":[171],"algorithm":[174],"demonstrated":[176],"numerical":[178],"simulations.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}