{"id":"https://openalex.org/W3108866329","doi":"https://doi.org/10.1109/lcsys.2020.3040934","title":"Distributed Mirror Descent With Integral Feedback: Asymptotic Convergence Analysis of Continuous-Time Dynamics","display_name":"Distributed Mirror Descent With Integral Feedback: Asymptotic Convergence Analysis of Continuous-Time Dynamics","publication_year":2020,"publication_date":"2020-11-26","ids":{"openalex":"https://openalex.org/W3108866329","doi":"https://doi.org/10.1109/lcsys.2020.3040934","mag":"3108866329"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2020.3040934","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3040934","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5076743577","display_name":"Youbang Sun","orcid":"https://orcid.org/0000-0003-2494-8552"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Youbang Sun","raw_affiliation_strings":["Wm Michael Barnes \u201964 Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX, USA"],"raw_orcid":"https://orcid.org/0000-0003-2494-8552","affiliations":[{"raw_affiliation_string":"Wm Michael Barnes \u201964 Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040922600","display_name":"Shahin Shahrampour","orcid":"https://orcid.org/0000-0003-3093-8510"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shahin Shahrampour","raw_affiliation_strings":["Wm Michael Barnes \u201964 Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX, USA","[Wm Michael Barnes \u201964 Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX, USA]"],"raw_orcid":"https://orcid.org/0000-0003-3093-8510","affiliations":[{"raw_affiliation_string":"Wm Michael Barnes \u201964 Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"[Wm Michael Barnes \u201964 Department of Industrial and Systems Engineering, Texas A&M University, College Station, TX, USA]","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":0.8066,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76249735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"5","issue":"5","first_page":"1507","last_page":"1512"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6470837593078613},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5994904041290283},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5992870330810547},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5518093705177307},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.511001467704773},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.49674898386001587},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.4962626099586487},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49009454250335693},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48313185572624207},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.48304349184036255},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4381784498691559},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43517637252807617},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41992855072021484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4031287431716919},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.34820693731307983},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.17090031504631042},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11177065968513489},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07599693536758423},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.064077228307724}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6470837593078613},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5994904041290283},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5992870330810547},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5518093705177307},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.511001467704773},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.49674898386001587},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.4962626099586487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49009454250335693},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48313185572624207},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.48304349184036255},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4381784498691559},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43517637252807617},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41992855072021484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4031287431716919},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.34820693731307983},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.17090031504631042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11177065968513489},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07599693536758423},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.064077228307724},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2020.3040934","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3040934","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7792467848","display_name":"Collaborative Online Optimization for Efficient Model-Based Learning","funder_award_id":"1933878","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W613741184","https://openalex.org/W1503425191","https://openalex.org/W1505731132","https://openalex.org/W1571416372","https://openalex.org/W1964599043","https://openalex.org/W2006764749","https://openalex.org/W2012059983","https://openalex.org/W2018493294","https://openalex.org/W2044212084","https://openalex.org/W2057929279","https://openalex.org/W2164642931","https://openalex.org/W2184596805","https://openalex.org/W2211881362","https://openalex.org/W2243169878","https://openalex.org/W2266148951","https://openalex.org/W2521320587","https://openalex.org/W2900457719","https://openalex.org/W2947882888","https://openalex.org/W2963612259","https://openalex.org/W2963732316","https://openalex.org/W2963910188","https://openalex.org/W2964191394","https://openalex.org/W2964211247","https://openalex.org/W3005717566","https://openalex.org/W3011252985","https://openalex.org/W3016889113","https://openalex.org/W3104886886","https://openalex.org/W4213187536","https://openalex.org/W6686565794"],"related_works":["https://openalex.org/W2486267010","https://openalex.org/W1678820847","https://openalex.org/W2559216629","https://openalex.org/W2037211941","https://openalex.org/W4298096494","https://openalex.org/W2015288657","https://openalex.org/W4313177131","https://openalex.org/W2187449906","https://openalex.org/W3011190762","https://openalex.org/W2962818859"],"abstract_inverted_index":{"This":[0],"letter":[1],"addresses":[2],"distributed":[3,44,63,116],"optimization,":[4],"where":[5],"a":[6,13,26,42,80],"network":[7],"of":[8,28,33,90,106,115],"agents":[9],"wants":[10],"to":[11,53,55,77],"minimize":[12],"global":[14,20,57],"strongly":[15],"convex":[16,30],"objective":[17],"function.":[18],"The":[19],"function":[21],"can":[22],"be":[23],"written":[24],"as":[25],"sum":[27],"local":[29,51],"functions,":[31],"each":[32],"which":[34],"is":[35],"associated":[36],"with":[37,79],"an":[38,68],"agent.":[39],"We":[40,85,97],"propose":[41],"continuous-time":[43],"mirror":[45,64,117],"descent":[46],"algorithm":[47,76,92],"that":[48,102],"uses":[49],"purely":[50],"information":[52],"converge":[54,78],"the":[56,72,75,87,91,104,112],"optimum.":[58],"Unlike":[59],"previous":[60],"work":[61],"on":[62],"descent,":[65],"we":[66],"incorporate":[67],"integral":[69,108],"feedback":[70,109],"in":[71],"update,":[73],"allowing":[74],"constant":[81],"step-size":[82],"when":[83],"discretized.":[84],"establish":[86],"asymptotic":[88],"convergence":[89,113],"using":[93],"Lyapunov":[94],"stability":[95],"analysis.":[96],"further":[98],"illustrate":[99],"numerical":[100],"experiments":[101],"verify":[103],"advantage":[105],"adopting":[107],"for":[110],"improving":[111],"rate":[114],"descent.":[118]},"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":2}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}