{"id":"https://openalex.org/W2899989669","doi":"https://doi.org/10.1109/tcsii.2018.2878250","title":"Continuous-Time Coordination Algorithm for Distributed Convex Optimization Over Weight-Unbalanced Directed Networks","display_name":"Continuous-Time Coordination Algorithm for Distributed Convex Optimization Over Weight-Unbalanced Directed Networks","publication_year":2018,"publication_date":"2018-11-09","ids":{"openalex":"https://openalex.org/W2899989669","doi":"https://doi.org/10.1109/tcsii.2018.2878250","mag":"2899989669"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2018.2878250","doi":"https://doi.org/10.1109/tcsii.2018.2878250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2018.2878250","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5020521560","display_name":"Yanan Zhu","orcid":"https://orcid.org/0000-0001-7980-6282","observed_orcids":["https://orcid.org/0000-0001-7980-6282"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanan Zhu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-7980-6282","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100627758","display_name":"Wenwu Yu","orcid":"https://orcid.org/0000-0003-3755-179X","observed_orcids":["https://orcid.org/0000-0003-3755-179X","https://orcid.org/0000-0003-0301-9180"]},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenwu Yu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3755-179X","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040088510","display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597","observed_orcids":["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":"last","author":{"id":"https://openalex.org/A5100339137","display_name":"Wei Ren","orcid":"https://orcid.org/0000-0002-2818-9752","observed_orcids":["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":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.5575,"has_fulltext":false,"cited_by_count":140,"citation_normalized_percentile":{"value":0.95264121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"66","issue":"7","first_page":"1202","last_page":"1206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.0,"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/distributed-convex-optimization","display_name":"distributed convex optimization","score":0.9980000257492065},{"id":"https://openalex.org/keywords/asymptotic-convergence","display_name":"asymptotic convergence","score":0.8289999961853027},{"id":"https://openalex.org/keywords/direct-sum-decomposition","display_name":"direct sum decomposition","score":0.9440000057220459},{"id":"https://openalex.org/keywords/input-to-state-stability","display_name":"input-to-state stability","score":0.8159999847412109}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7558106184005737},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.6753557324409485},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6215711832046509},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6018702983856201},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5508055686950684},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5242600440979004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5031837821006775},{"id":"https://openalex.org/C122268817","wikidata":"https://www.wikidata.org/wiki/Q2020318","display_name":"Frank\u2013Wolfe algorithm","level":5,"score":0.4878230392932892},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.47322121262550354},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4445880949497223},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.4402655065059662},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4383183717727661},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.43034443259239197},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4239356517791748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36235466599464417},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.15067705512046814},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06373855471611023},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcsii.2018.2878250","doi":"https://doi.org/10.1109/tcsii.2018.2878250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2018.2878250","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"},{"id":"pmh:oai:alma61RMIT.INST:11247336710001341","doi":null,"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2018.2878250","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,"listed_in":[],"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/27492450","doi":null,"is_oa":false,"landing_page_url":"https://figshare.com/articles/journal_contribution/Continuous-Time_Coordination_Algorithm_for_Distributed_Convex_Optimization_over_Weight-Unbalanced_Directed_Networks/27492450","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,"listed_in":[],"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":null,"sustainable_development_goals":[],"study_designs":[],"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/G587321265","display_name":"Distributed Continuous-time Optimization for Multi-agent Dynamical Systems under Realistic Challenges","funder_award_id":"1611423","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"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/G8363503722","display_name":"Inference and resilient control of complex cyber-physical networks","funder_award_id":"DE180101268","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"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"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1630241696","https://openalex.org/W1968094122","https://openalex.org/W2022255443","https://openalex.org/W2044212084","https://openalex.org/W2057929279","https://openalex.org/W2063403497","https://openalex.org/W2099175737","https://openalex.org/W2107396783","https://openalex.org/W2114791779","https://openalex.org/W2130758224","https://openalex.org/W2137435346","https://openalex.org/W2150872461","https://openalex.org/W2164642931","https://openalex.org/W2275030070","https://openalex.org/W2289181119","https://openalex.org/W2290318971","https://openalex.org/W2315826754","https://openalex.org/W2344279181","https://openalex.org/W2476071355","https://openalex.org/W2517192452","https://openalex.org/W2523259601","https://openalex.org/W2547596511","https://openalex.org/W2551546340","https://openalex.org/W2568350243","https://openalex.org/W2568893241","https://openalex.org/W2573876578","https://openalex.org/W2586541921","https://openalex.org/W2588148443","https://openalex.org/W2752175744","https://openalex.org/W2762913477","https://openalex.org/W2795363994","https://openalex.org/W2806604749","https://openalex.org/W2890625779","https://openalex.org/W2963649943","https://openalex.org/W2964017936","https://openalex.org/W2971899729","https://openalex.org/W3140720497","https://openalex.org/W4240790602"],"related_works":["https://openalex.org/W4310560700","https://openalex.org/W1979062758","https://openalex.org/W2164642931","https://openalex.org/W7171328194","https://openalex.org/W4402569667","https://openalex.org/W3185096891","https://openalex.org/W2752175744","https://openalex.org/W2013253244","https://openalex.org/W4406118775","https://openalex.org/W3024967635"],"abstract_inverted_index":{"A":[0],"distributed":[1,54],"convex":[2,27],"optimization":[3,38],"problem":[4],"over":[5],"a":[6,40,53],"weight-unbalanced":[7],"directed":[8],"network":[9],"is":[10,20,45,63],"studied":[11],"in":[12,52],"this":[13],"brief,":[14],"where":[15],"the":[16,23,37,60,68,76,91],"global":[17],"objective":[18,28],"function":[19],"equal":[21],"to":[22,36,47,67,89],"sum":[24,70],"of":[25,59,78],"strongly":[26],"functions":[29],"with":[30],"globally":[31],"Lipschitz":[32],"gradients.":[33],"With":[34],"respect":[35],"problem,":[39],"new":[41],"continuous-time":[42],"coordination":[43],"algorithm":[44,62],"proposed":[46,61],"compute":[48],"its":[49],"optimal":[50],"solution":[51],"manner.":[55],"The":[56],"asymptotical":[57],"convergence":[58],"guaranteed":[64],"by":[65],"resorting":[66],"direct":[69],"decomposition":[71],"technique,":[72],"Kronecker":[73],"matrix":[74],"algebra,":[75],"stability":[77],"perturbed":[79],"systems,":[80],"and":[81],"input-to-state":[82],"stability.":[83],"Finally,":[84],"some":[85],"simulations":[86],"are":[87],"performed":[88],"illustrate":[90],"theoretical":[92],"result.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":28},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2018-11-16T00:00:00"}