{"id":"https://openalex.org/W2022948311","doi":"https://doi.org/10.1109/tac.2011.2167817","title":"On Distributed Convex Optimization Under Inequality and Equality Constraints","display_name":"On Distributed Convex Optimization Under Inequality and Equality Constraints","publication_year":2011,"publication_date":"2011-09-22","ids":{"openalex":"https://openalex.org/W2022948311","doi":"https://doi.org/10.1109/tac.2011.2167817","mag":"2022948311"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2011.2167817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2167817","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101766328","display_name":"Minghui Zhu","orcid":"https://orcid.org/0000-0003-3879-7820"},"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":"Minghui Zhu","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA","Dept. of Mech. & Aerosp. Eng., Univ. of California at San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp. Eng., Univ. of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024022921","display_name":"Sonia Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0001-6756-1484"},"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":"S. Martinez","raw_affiliation_strings":["Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA","Dept. of Mech. & Aerosp. Eng., Univ. of California at San Diego, La Jolla, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Dept. of Mech. & Aerosp. Eng., Univ. of California at San Diego, La Jolla, CA, 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":27.1899,"has_fulltext":false,"cited_by_count":781,"citation_normalized_percentile":{"value":0.99781843,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"57","issue":"1","first_page":"151","last_page":"164"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9842000007629395,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7397364974021912},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6342440247535706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6283009648323059},{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.6002455353736877},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5926606059074402},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.5482840538024902},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4457651376724243},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4445869028568268},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.43903037905693054},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.43362659215927124},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4324053227901459},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41121363639831543},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3311869204044342}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7397364974021912},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6342440247535706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6283009648323059},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.6002455353736877},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5926606059074402},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.5482840538024902},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4457651376724243},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4445869028568268},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.43903037905693054},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.43362659215927124},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4324053227901459},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41121363639831543},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3311869204044342},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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":1,"locations":[{"id":"doi:10.1109/tac.2011.2167817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2011.2167817","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W633277346","https://openalex.org/W1486029120","https://openalex.org/W1550507966","https://openalex.org/W1583497301","https://openalex.org/W1603765807","https://openalex.org/W1630241696","https://openalex.org/W1893117846","https://openalex.org/W1963529497","https://openalex.org/W1967630104","https://openalex.org/W1994860969","https://openalex.org/W2020123437","https://openalex.org/W2025764057","https://openalex.org/W2040002081","https://openalex.org/W2044212084","https://openalex.org/W2063642824","https://openalex.org/W2114403255","https://openalex.org/W2114791779","https://openalex.org/W2117905067","https://openalex.org/W2121039643","https://openalex.org/W2123568024","https://openalex.org/W2125668987","https://openalex.org/W2130043443","https://openalex.org/W2142184324","https://openalex.org/W2145680963","https://openalex.org/W2152244994","https://openalex.org/W2158307424","https://openalex.org/W2159715570","https://openalex.org/W2160643434","https://openalex.org/W2165744313","https://openalex.org/W2172813797","https://openalex.org/W2386509573","https://openalex.org/W2392984423","https://openalex.org/W2781725465","https://openalex.org/W2912291331","https://openalex.org/W3016074254","https://openalex.org/W4240896209","https://openalex.org/W6632986673","https://openalex.org/W6711253877"],"related_works":["https://openalex.org/W4297153560","https://openalex.org/W2465405765","https://openalex.org/W2964186284","https://openalex.org/W2804400349","https://openalex.org/W4389712904","https://openalex.org/W2175677697","https://openalex.org/W2017887779","https://openalex.org/W2373909582","https://openalex.org/W2912146214","https://openalex.org/W2145479420"],"abstract_inverted_index":{"We":[0,83],"consider":[1],"a":[2,15,21,25,30,40,122],"general":[3],"multi-agent":[4],"convex":[5],"optimization":[6,141],"problem":[7,142],"where":[8,67,76],"the":[9,47,54,68,74,77,92,95,100,104,128,140,144],"agents":[10,129],"are":[11,81],"to":[12,20,130],"collectively":[13],"minimize":[14],"global":[16,22,26,31,48],"objective":[17,35,44],"function":[18,36],"subject":[19],"inequality":[23],"constraint,":[24,28],"equality":[27,69],"and":[29,73,106,126,136],"constraint":[32,49,58,70,79],"set.":[33],"The":[34],"is":[37,51,71],"defined":[38],"by":[39,53],"sum":[41],"of":[42,56,94,103,139],"local":[43,57,78],"functions,":[45],"while":[46],"set":[50],"produced":[52],"intersection":[55],"sets.":[59],"In":[60],"particular,":[61],"we":[62],"study":[63],"two":[64,85],"cases:":[65],"one":[66],"absent,":[72],"other":[75],"sets":[80],"identical.":[82],"devise":[84],"distributed":[86],"primal-dual":[87,96],"subgradient":[88],"algorithms":[89,110],"based":[90],"on":[91,133],"characterization":[93],"optimal":[97,134,137],"solutions":[98,135],"as":[99],"saddle":[101],"points":[102],"Lagrangian":[105],"penalty":[107],"functions.":[108],"These":[109],"can":[111],"be":[112],"implemented":[113],"over":[114],"networks":[115],"with":[116],"dynamically":[117],"changing":[118],"topologies":[119],"but":[120],"satisfying":[121],"standard":[123],"connectivity":[124],"property,":[125],"allow":[127],"asymptotically":[131],"agree":[132],"values":[138],"under":[143],"Slater's":[145],"condition.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":45},{"year":2022,"cited_by_count":50},{"year":2021,"cited_by_count":67},{"year":2020,"cited_by_count":81},{"year":2019,"cited_by_count":82},{"year":2018,"cited_by_count":76},{"year":2017,"cited_by_count":84},{"year":2016,"cited_by_count":86},{"year":2015,"cited_by_count":61},{"year":2014,"cited_by_count":33},{"year":2013,"cited_by_count":23},{"year":2012,"cited_by_count":18}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
