{"id":"https://openalex.org/W2098474644","doi":"https://doi.org/10.1109/cdc.2008.4738951","title":"Stability of a second order consensus algorithm with time delay","display_name":"Stability of a second order consensus algorithm with time delay","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2098474644","doi":"https://doi.org/10.1109/cdc.2008.4738951","mag":"2098474644"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738951","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5068390483","display_name":"Wen Yang","orcid":"https://orcid.org/0000-0003-4943-7919"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Wen Yang","raw_affiliation_strings":["Department of Automation, Shanghai Jiaotong University, Shanghai, China","Department of Mathematics, University of California, Los Angeles, USA"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090707978","display_name":"Andrea L. Bertozzi","orcid":"https://orcid.org/0000-0003-0396-7391"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrea L. Bertozzi","raw_affiliation_strings":["Faculty of the Department of Mathematics, University of California, Los Angeles, USA"],"affiliations":[{"raw_affiliation_string":"Faculty of the Department of Mathematics, University of California, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100718391","display_name":"Xiaofan Wang","orcid":"https://orcid.org/0000-0003-0295-2462"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofan Wang","raw_affiliation_strings":["Department of Automation, Shanghai Jiaotong University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiaotong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5068390483"],"corresponding_institution_ids":["https://openalex.org/I161318765","https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":7.6242,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.97357637,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2926","last_page":"2931"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9966999888420105,"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":0.9804999828338623,"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/convergence","display_name":"Convergence (economics)","score":0.7632408142089844},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6137729287147522},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6090188026428223},{"id":"https://openalex.org/keywords/consensus","display_name":"Consensus","score":0.5441116690635681},{"id":"https://openalex.org/keywords/consensus-algorithm","display_name":"Consensus algorithm","score":0.4798833429813385},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47200748324394226},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4568912982940674},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.4491252899169922},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4466175138950348},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4326026439666748},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.426738440990448},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3277466893196106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32284197211265564},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16448438167572021},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08566516637802124}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7632408142089844},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6137729287147522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6090188026428223},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.5441116690635681},{"id":"https://openalex.org/C2983222225","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus algorithm","level":2,"score":0.4798833429813385},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47200748324394226},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4568912982940674},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.4491252899169922},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4466175138950348},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4326026439666748},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.426738440990448},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3277466893196106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32284197211265564},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16448438167572021},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08566516637802124},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2008.4738951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738951","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.420.3951","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.420.3951","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ucla.edu/~bertozzi/papers/wendy08.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1988098342","https://openalex.org/W1994237189","https://openalex.org/W1997228147","https://openalex.org/W2000243709","https://openalex.org/W2050505323","https://openalex.org/W2057996828","https://openalex.org/W2072718225","https://openalex.org/W2097114089","https://openalex.org/W2097944741","https://openalex.org/W2099175737","https://openalex.org/W2103714988","https://openalex.org/W2103774239","https://openalex.org/W2105850748","https://openalex.org/W2107396783","https://openalex.org/W2108679750","https://openalex.org/W2117216822","https://openalex.org/W2124001564","https://openalex.org/W2125668987","https://openalex.org/W2137841457","https://openalex.org/W2144267444","https://openalex.org/W2145357731","https://openalex.org/W2167640856","https://openalex.org/W2168132433","https://openalex.org/W2170354024","https://openalex.org/W2610857016","https://openalex.org/W6680705375"],"related_works":["https://openalex.org/W2784026553","https://openalex.org/W2784200061","https://openalex.org/W3127518712","https://openalex.org/W3046085425","https://openalex.org/W1940417675","https://openalex.org/W2246375794","https://openalex.org/W2335243741","https://openalex.org/W2579899350","https://openalex.org/W3010442179","https://openalex.org/W2289967712"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,51,58,70],"investigate":[4],"a":[5,11],"second":[6],"order":[7,64],"consensus":[8,38],"problem":[9,19],"in":[10,22],"directed":[12],"graph":[13],"with":[14,66],"non-uniform":[15],"time":[16,67],"delay.":[17,68],"This":[18],"arises":[20],"naturally":[21],"real":[23],"multi-agent":[24],"systems":[25,65],"such":[26],"as":[27],"distributed":[28],"sensing":[29],"and":[30],"collective":[31],"motion.":[32],"We":[33],"analyze":[34],"convergence":[35],"of":[36],"the":[37,46,60],"algorithm":[39],"by":[40],"frequency":[41],"domain":[42],"methods.":[43],"By":[44],"using":[45],"small":[47],"-\u00bf":[48],"stability":[49],"theorem,":[50],"derive":[52],"criteria":[53],"to":[54,62,73],"guarantee":[55],"convergence.":[56],"Furthermore,":[57],"extend":[59],"analysis":[61],"higher":[63],"Finally,":[69],"present":[71],"simulations":[72],"illustrate":[74],"theoretical":[75],"results.":[76]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}