{"id":"https://openalex.org/W1979062758","doi":"https://doi.org/10.1109/cdc.2012.6426897","title":"Continuous-time distributed convex optimization on weight-balanced digraphs","display_name":"Continuous-time distributed convex optimization on weight-balanced digraphs","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1979062758","doi":"https://doi.org/10.1109/cdc.2012.6426897","mag":"1979062758"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426897","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","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":"https://openalex.org/A5022064746","display_name":"Bahman Gharesifard","orcid":"https://orcid.org/0000-0003-1495-3489"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bahman Gharesifard","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, University of California, San Diego, USA","Dept. of Mechanical and Aerospace Eng., University of California San Diego, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, University of California, San Diego, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Mechanical and Aerospace Eng., University of California San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027913099","display_name":"Jorge Cort\u00e9s","orcid":"https://orcid.org/0000-0001-9582-5184"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jorge Cortes","raw_affiliation_strings":["Department of Mechanical and AeroSpace Engineering, University of California, San Diego, USA","Dept. of Mechanical and Aerospace Eng., University of California San Diego, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and AeroSpace Engineering, University of California, San Diego, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Mechanical and Aerospace Eng., University of California San Diego, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":3.9614,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.94951742,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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":0.9998000264167786,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9801999926567078,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9739999771118164,"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":0.7500084638595581},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6777446269989014},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.642060399055481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5142397284507751},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4533197581768036},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4511531591415405},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4494004249572754},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.44836777448654175},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43377578258514404},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.43205076456069946},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4169424772262573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40902137756347656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3629149794578552},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1677345633506775}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7500084638595581},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6777446269989014},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.642060399055481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5142397284507751},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4533197581768036},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4511531591415405},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4494004249572754},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.44836777448654175},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43377578258514404},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.43205076456069946},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4169424772262573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40902137756347656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3629149794578552},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1677345633506775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6426897","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426897","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W613360614","https://openalex.org/W1574645350","https://openalex.org/W1630241696","https://openalex.org/W1788292158","https://openalex.org/W2022948311","https://openalex.org/W2026509976","https://openalex.org/W2044212084","https://openalex.org/W2048723778","https://openalex.org/W2049659086","https://openalex.org/W2070291355","https://openalex.org/W2093270257","https://openalex.org/W2105837036","https://openalex.org/W2114791779","https://openalex.org/W2117412539","https://openalex.org/W2149519261","https://openalex.org/W2160643434","https://openalex.org/W2296319761","https://openalex.org/W2610857016","https://openalex.org/W3106043943","https://openalex.org/W4210850325","https://openalex.org/W4250589301","https://openalex.org/W6618955948","https://openalex.org/W6681968160"],"related_works":["https://openalex.org/W2033567934","https://openalex.org/W2782194400","https://openalex.org/W2765600275","https://openalex.org/W2953710272","https://openalex.org/W2365236566","https://openalex.org/W4206573252","https://openalex.org/W3088611359","https://openalex.org/W3196251681","https://openalex.org/W4255598955","https://openalex.org/W2350235717"],"abstract_inverted_index":{"This":[0,61],"paper":[1],"studies":[2],"the":[3,22,26,39,44,58,64,67,88,113,122],"continuous-time":[4,45],"distributed":[5,46,72],"optimization":[6,47],"of":[7,10,69,90,92,95,108,117],"a":[8,93],"sum":[9,94],"convex":[11,96],"functions":[12,98],"over":[13],"directed":[14,34,59],"graphs.":[15],"Contrary":[16],"to":[17,53,57,79,87,120],"what":[18],"is":[19,77],"known":[20],"in":[21],"consensus":[23],"literature,":[24],"where":[25],"same":[27],"dynamics":[28,41,73],"works":[29],"for":[30,49,66],"both":[31],"undirected":[32,50],"and":[33,110],"scenarios,":[35],"we":[36,75],"show":[37,76],"that":[38,42],"consensus-based":[40],"solves":[43],"problem":[48],"graphs":[51],"fails":[52],"converge":[54],"when":[55],"transcribed":[56],"setting.":[60],"study":[62],"sets":[63],"basis":[65],"design":[68],"an":[70],"alternative":[71],"which":[74],"guaranteed":[78],"converge,":[80],"on":[81],"any":[82],"strongly":[83],"connected":[84],"weight-balanced":[85],"digraph,":[86],"set":[89],"minimizers":[91],"differentiable":[97],"with":[99,112],"globally":[100],"Lipschitz":[101],"gradients.":[102],"Our":[103],"technical":[104],"approach":[105],"combines":[106],"notions":[107],"invariance":[109],"cocoercivity":[111],"positive":[114],"definiteness":[115],"properties":[116],"graph":[118],"matrices":[119],"establish":[121],"results.":[123]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}