{"id":"https://openalex.org/W2568163574","doi":"https://doi.org/10.1109/tcsii.2017.2647744","title":"General Lyapunov Functions for Consensus of Nonlinear Multiagent Systems","display_name":"General Lyapunov Functions for Consensus of Nonlinear Multiagent Systems","publication_year":2017,"publication_date":"2017-01-04","ids":{"openalex":"https://openalex.org/W2568163574","doi":"https://doi.org/10.1109/tcsii.2017.2647744","mag":"2568163574"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2017.2647744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2017.2647744","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5103193369","display_name":"Quanyi Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Quanyi Liang","raw_affiliation_strings":["SKLSDE, LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"SKLSDE, LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022816848","display_name":"Zhikun She","orcid":"https://orcid.org/0000-0003-2762-8730"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhikun She","raw_affiliation_strings":["SKLSDE, LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"SKLSDE, LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100435995","display_name":"Lei Wang","orcid":"https://orcid.org/0000-0002-7014-2149"},"institutions":[{"id":"https://openalex.org/I4210166499","display_name":"Henan Polytechnic University","ror":"https://ror.org/05vr1c885","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210166499"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Wang","raw_affiliation_strings":["Key Laboratory of Control Engineering of Henan Province, Henan Polytechnic University, Jiaozuo, China","School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Control Engineering of Henan Province, Henan Polytechnic University, Jiaozuo, China","institution_ids":["https://openalex.org/I4210166499"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038281085","display_name":"Housheng Su","orcid":"https://orcid.org/0000-0002-7321-2923"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Housheng Su","raw_affiliation_strings":["School of Automation, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103193369"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":5.364,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.96155026,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"64","issue":"10","first_page":"1232","last_page":"1236"},"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":0.9930999875068665,"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":0.9926999807357788,"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/lyapunov-function","display_name":"Lyapunov function","score":0.8370302319526672},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.7212874889373779},{"id":"https://openalex.org/keywords/lyapunov-optimization","display_name":"Lyapunov optimization","score":0.6031767129898071},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5962885022163391},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5926026105880737},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.570213794708252},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.5691063404083252},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5642136335372925},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5310725569725037},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.46112316846847534},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45316803455352783},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4242326021194458},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.3949085474014282},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37795382738113403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3326994776725769},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08142745494842529},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07841503620147705},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07503920793533325}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.8370302319526672},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.7212874889373779},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.6031767129898071},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5962885022163391},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5926026105880737},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.570213794708252},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.5691063404083252},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5642136335372925},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5310725569725037},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.46112316846847534},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45316803455352783},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4242326021194458},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.3949085474014282},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37795382738113403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3326994776725769},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08142745494842529},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07841503620147705},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07503920793533325},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2017.2647744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2017.2647744","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4699999988079071,"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals"}],"awards":[{"id":"https://openalex.org/G2457875297","display_name":null,"funder_award_id":"11290141","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5250497553","display_name":null,"funder_award_id":"11371047","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994326446","display_name":null,"funder_award_id":"SKLSDE-2015ZX-06","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8494692633","display_name":null,"funder_award_id":"61473016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G977168931","display_name":null,"funder_award_id":"11422111","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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1561789346","https://openalex.org/W1673091696","https://openalex.org/W1964844332","https://openalex.org/W1966292493","https://openalex.org/W1970786657","https://openalex.org/W1981187525","https://openalex.org/W1990624933","https://openalex.org/W2000825107","https://openalex.org/W2003232014","https://openalex.org/W2022418999","https://openalex.org/W2032747934","https://openalex.org/W2038924143","https://openalex.org/W2056317990","https://openalex.org/W2065029123","https://openalex.org/W2066116184","https://openalex.org/W2084510495","https://openalex.org/W2086264532","https://openalex.org/W2113028215","https://openalex.org/W2131164291","https://openalex.org/W2133404041","https://openalex.org/W2134889984","https://openalex.org/W2139369541","https://openalex.org/W2149100833","https://openalex.org/W2166103243","https://openalex.org/W2192152407","https://openalex.org/W2197995027","https://openalex.org/W2210260000","https://openalex.org/W2343339303","https://openalex.org/W2912522929","https://openalex.org/W6679392325"],"related_works":["https://openalex.org/W2383986032","https://openalex.org/W2534107666","https://openalex.org/W2349796700","https://openalex.org/W1975178315","https://openalex.org/W3217133416","https://openalex.org/W3194517843","https://openalex.org/W2164487476","https://openalex.org/W2118944249","https://openalex.org/W2524522145","https://openalex.org/W2003652915"],"abstract_inverted_index":{"In":[0,66],"this":[1],"brief,":[2],"we":[3],"investigate":[4],"the":[5,44,95,111],"consensus":[6,46,54,79],"problem":[7],"of":[8,14,75,113],"nonlinear":[9],"multiagent":[10],"systems":[11,70],"by":[12,20,49,93],"means":[13],"general":[15,22],"Lyapunov":[16,23,28,51,87],"functions.":[17],"That":[18],"is,":[19],"constructing":[21],"functions,":[24,52,88],"such":[25,100],"as":[26,101],"polynomial":[27,69,86],"functions":[29],"beyond":[30],"quadratic":[31,50],"forms,":[32],"a":[33],"sufficient":[34],"condition":[35],"is":[36,56],"established":[37],"for":[38,63,68],"achieving":[39],"global":[40],"consensus.":[41],"Compared":[42],"with":[43],"existing":[45],"criteria":[47],"deduced":[48],"our":[53,78,114],"criterion":[55,80],"less":[57],"conservative":[58],"and":[59,71],"can":[60,81,90],"be":[61,82,91],"applicable":[62],"more":[64],"systems.":[65],"particular,":[67],"even":[72],"certain":[73],"classes":[74],"nonpolynomial":[76],"systems,":[77],"formulated":[83],"based":[84],"on":[85],"which":[89],"calculated":[92],"using":[94],"sum-of-squares":[96],"(SOS)":[97],"programming":[98],"tools":[99],"SOSTOOLS.":[102],"Finally,":[103],"two":[104],"simulation":[105],"examples":[106],"are":[107],"given":[108],"to":[109],"illustrate":[110],"effectiveness":[112],"proposed":[115],"theoretical":[116],"results.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
