{"id":"https://openalex.org/W2811183536","doi":"https://doi.org/10.1109/tac.2018.2852602","title":"Continuous-Time Distributed Subgradient Algorithm for Convex Optimization With General Constraints","display_name":"Continuous-Time Distributed Subgradient Algorithm for Convex Optimization With General Constraints","publication_year":2018,"publication_date":"2018-07-02","ids":{"openalex":"https://openalex.org/W2811183536","doi":"https://doi.org/10.1109/tac.2018.2852602","mag":"2811183536"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2852602","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2852602","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Continuous-Time_Distributed_Subgradient_Algorithm_for_Convex_Optimization_with_General_Constraints/27526980","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020521560","display_name":"Yanan Zhu","orcid":"https://orcid.org/0000-0001-7980-6282"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yanan Zhu","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0001-7980-6282","affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100627758","display_name":"Wenwu Yu","orcid":"https://orcid.org/0000-0003-3755-179X"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wenwu Yu","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0003-3755-179X","affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040088510","display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-1381-7418","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100339137","display_name":"Wei Ren","orcid":"https://orcid.org/0000-0002-2818-9752"},"institutions":[{"id":"https://openalex.org/I103635307","display_name":"University of California, Riverside","ror":"https://ror.org/03nawhv43","country_code":"US","type":"education","lineage":["https://openalex.org/I103635307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Ren","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Riverside, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-2818-9752","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Riverside, CA, USA","institution_ids":["https://openalex.org/I103635307"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.5667,"has_fulltext":false,"cited_by_count":113,"citation_normalized_percentile":{"value":0.9766036,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"64","issue":"4","first_page":"1694","last_page":"1701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9864000082015991,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/subgradient-method","display_name":"Subgradient method","score":0.9391558170318604},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7384093999862671},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.643200159072876},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5927551984786987},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5853176116943359},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5710243582725525},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.5362270474433899},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5118281245231628},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.46873554587364197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45802175998687744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.437935471534729},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43253499269485474},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42524927854537964}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.9391558170318604},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7384093999862671},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.643200159072876},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5927551984786987},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5853176116943359},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5710243582725525},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.5362270474433899},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5118281245231628},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.46873554587364197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45802175998687744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.437935471534729},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43253499269485474},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42524927854537964},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2018.2852602","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2852602","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:alma.61RMIT_INST:11247381810001341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/TAC.2018.2852602","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/27526980","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Continuous-Time_Distributed_Subgradient_Algorithm_for_Convex_Optimization_with_General_Constraints/27526980","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/27526980","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Continuous-Time_Distributed_Subgradient_Algorithm_for_Convex_Optimization_with_General_Constraints/27526980","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3039935237","display_name":null,"funder_award_id":"61722303","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4741143070","display_name":null,"funder_award_id":"61673104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6315690620","display_name":null,"funder_award_id":"61673107","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6327305920","display_name":null,"funder_award_id":"ECCS-1611423","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6889331834","display_name":null,"funder_award_id":"61528301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G869475594","display_name":null,"funder_award_id":"BK20170079","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1514218977","https://openalex.org/W1551360398","https://openalex.org/W1616065164","https://openalex.org/W1968094122","https://openalex.org/W1988901237","https://openalex.org/W2011474549","https://openalex.org/W2022948311","https://openalex.org/W2026509976","https://openalex.org/W2044212084","https://openalex.org/W2046387702","https://openalex.org/W2048723778","https://openalex.org/W2057929279","https://openalex.org/W2058869539","https://openalex.org/W2069397923","https://openalex.org/W2070291355","https://openalex.org/W2092620240","https://openalex.org/W2101385798","https://openalex.org/W2101876299","https://openalex.org/W2111111520","https://openalex.org/W2114791779","https://openalex.org/W2115098233","https://openalex.org/W2132450099","https://openalex.org/W2152555602","https://openalex.org/W2154787957","https://openalex.org/W2155356457","https://openalex.org/W2164278908","https://openalex.org/W2164642931","https://openalex.org/W2169555996","https://openalex.org/W2215067230","https://openalex.org/W2251632681","https://openalex.org/W2284760372","https://openalex.org/W2341544006","https://openalex.org/W2409418461","https://openalex.org/W2466005951","https://openalex.org/W2494670408","https://openalex.org/W2517192452","https://openalex.org/W2521320587","https://openalex.org/W2571423792","https://openalex.org/W2584604366","https://openalex.org/W2963730255","https://openalex.org/W3140720497","https://openalex.org/W4250589301","https://openalex.org/W4292363360","https://openalex.org/W4297926883","https://openalex.org/W4299439662","https://openalex.org/W6665097652"],"related_works":["https://openalex.org/W2007576447","https://openalex.org/W2026600343","https://openalex.org/W2356261519","https://openalex.org/W2478309485","https://openalex.org/W4361807553","https://openalex.org/W4382519084","https://openalex.org/W2388375429","https://openalex.org/W2051968184","https://openalex.org/W2963317235","https://openalex.org/W3131050393"],"abstract_inverted_index":{"The":[0],"distributed":[1,30,56],"convex":[2,57,80],"optimization":[3,23,32,58,106],"problem":[4,59],"is":[5,34,52,60,79,86,115,119],"studied":[6],"in":[7],"this":[8],"paper":[9],"for":[10],"any":[11],"fixed":[12],"and":[13,47],"connected":[14],"network":[15,64],"with":[16,68,95,128],"general":[17],"constraints.":[18],"To":[19],"solve":[20],"such":[21],"an":[22,101],"problem,":[24],"a":[25,63],"new":[26],"type":[27],"of":[28,65,91,104,125],"continuous-time":[29],"subgradient":[31],"algorithm":[33],"proposed":[35],"based":[36],"on":[37,62],"the":[38,55,69,73,76,89,92,105,109,112,123,134,145],"Karuch-Kuhn-Tucker":[39],"condition.":[40],"By":[41],"using":[42],"tools":[43],"from":[44],"nonsmooth":[45],"analysis":[46],"set-valued":[48],"function":[49,78,114],"theory,":[50],"it":[51,85,118],"proved":[53,87],"that":[54,75,88,111,122],"solved":[61],"agents":[66,93,126],"equipped":[67],"designed":[70],"algorithm.":[71],"For":[72,108],"case":[74,110],"objective":[77,113],"but":[81],"not":[82],"strictly":[83,116],"convex,":[84,117],"states":[90,124],"associated":[94,127],"optimal":[96,102,129,136],"variables":[97,130],"could":[98,131],"converge":[99,132],"to":[100,133,143],"solution":[103],"problem.":[107],"further":[120],"shown":[121],"unique":[135],"solution.":[137],"Finally,":[138],"some":[139],"simulations":[140],"are":[141],"performed":[142],"illustrate":[144],"theoretical":[146],"analysis.":[147]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
