{"id":"https://openalex.org/W2007718935","doi":"https://doi.org/10.1109/icca.2010.5524487","title":"Collective behavior of second-order multi-agent system in directed network","display_name":"Collective behavior of second-order multi-agent system in directed network","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2007718935","doi":"https://doi.org/10.1109/icca.2010.5524487","mag":"2007718935"},"language":"en","primary_location":{"id":"doi:10.1109/icca.2010.5524487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca.2010.5524487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE ICCA 2010","raw_type":"proceedings-article"},"type":"conference-paper","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":null,"display_name":"Jidong Jing","orcid":null},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]},{"id":"https://openalex.org/I90259746","display_name":"Capital University of Economics and Business","ror":"https://ror.org/01r5sf951","country_code":"CN","type":"education","lineage":["https://openalex.org/I90259746"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jidong Jing","raw_affiliation_strings":["Department of Computer Science and Technology, Capital University of Economics and Business, Beijing, China","Department of Mathematics, Shanghai University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Capital University of Economics and Business, Beijing, China","institution_ids":["https://openalex.org/I90259746"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai University, China","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101478639","display_name":"Yufan Zheng","orcid":"https://orcid.org/0000-0001-7405-582X"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]},{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Yufan Zheng","raw_affiliation_strings":["Department of Electrical and Electronics Engineering, University of Melbourne, Australia","Department of Mathematics, Shanghai University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronics Engineering, University of Melbourne, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai University, China","institution_ids":["https://openalex.org/I113940042"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0536,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.86636697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"16","issue":null,"first_page":"376","last_page":"381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9987999796867371,"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":0.9969000220298767,"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/laplacian-matrix","display_name":"Laplacian matrix","score":0.705306351184845},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5448855757713318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5334147810935974},{"id":"https://openalex.org/keywords/inertia","display_name":"Inertia","score":0.5198600888252258},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.5179609060287476},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4903714656829834},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4893128573894501},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4579530954360962},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42243435978889465},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35122916102409363},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3230196237564087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29980820417404175},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2592080235481262},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2517256736755371},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1454559564590454},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10897442698478699}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.705306351184845},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5448855757713318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5334147810935974},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.5198600888252258},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.5179609060287476},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4903714656829834},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4893128573894501},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4579530954360962},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42243435978889465},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35122916102409363},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3230196237564087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29980820417404175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2592080235481262},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2517256736755371},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1454559564590454},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10897442698478699},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icca.2010.5524487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca.2010.5524487","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE ICCA 2010","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2044809050","https://openalex.org/W2059031134","https://openalex.org/W2105850748","https://openalex.org/W2107396783","https://openalex.org/W2144761682","https://openalex.org/W2146699874","https://openalex.org/W2149559996","https://openalex.org/W2395563344","https://openalex.org/W2610857016","https://openalex.org/W2799004609","https://openalex.org/W6613554288","https://openalex.org/W6682460794","https://openalex.org/W6712050161"],"related_works":["https://openalex.org/W2122332063","https://openalex.org/W1490949538","https://openalex.org/W1598820299","https://openalex.org/W2079049982","https://openalex.org/W2751205960","https://openalex.org/W3098358002","https://openalex.org/W2292721517","https://openalex.org/W2754830870","https://openalex.org/W2032094590","https://openalex.org/W3015193177"],"abstract_inverted_index":{"In":[0],"this":[1,80],"paper":[2],"the":[3,13,42,50,56,60,64,76,100,116,127,143,150,158,172],"collective":[4,57,147],"behavior":[5,58,148],"of":[6,59,99,115,149,174],"multi-agent":[7,117],"system":[8,61,67,105,118,151,159],"in":[9,70,79,90,154],"directed":[10,120],"network,":[11],"where":[12],"agents":[14],"are":[15,140],"with":[16,45],"dynamical":[17],"order":[18],"two,":[19],"is":[20,152],"studied.":[21],"The":[22,146],"control":[23],"protocol":[24],"depends":[25],"on":[26,95],"two":[27],"parameters,":[28],"i.e.":[29],"position-cooperative":[30],"parameter":[31,36],"wx>":[32],"0":[33],"and":[34,62,111,129,135,162],"velocity-cooperation":[35],"wv>":[37],"0,":[38],"as":[39,41],"well":[40],"Laplacian":[43],"associated":[44],"communication":[46],"network.":[47],"We":[48,73,164],"use":[49,75],"notion":[51,77],"called":[52],"inertia":[53,71],"to":[54,170],"describe":[55],"study":[63],"conditions":[65,131],"when":[66],"asymptotically":[68],"remain":[69],"state.":[72],"also":[74,165],"consensus":[78,161],"paper,":[81],"but":[82],"it":[83],"has":[84],"different":[85],"meaning":[86],"from":[87],"that":[88,157],"used":[89],"some":[91,107,167],"existent":[92],"literature.":[93],"Based":[94],"a":[96,104],"matrix":[97,124],"decomposition":[98],"Laplacian,":[101],"we":[102],"decompose":[103],"into":[106],"basic":[108,112],"independent":[109],"systems":[110,114],"non-independent":[113],"under":[119],"networks.":[121],"Furthermore,":[122],"using":[123],"analysis":[125],"approach":[126],"necessary":[128],"sufficient":[130],"for":[132,142],"inertial":[133],"state":[134],"position":[136],"and/or":[137],"velocity":[138],"inertia-consensus,":[139],"given":[141],"second-order":[144],"systems.":[145],"discussed":[153],"both":[155],"cases":[156],"achieves":[160],"not.":[163],"provide":[166],"simulation":[168],"results":[169],"show":[171],"validation":[173],"our":[175],"results.":[176]},"counts_by_year":[{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
