{"id":"https://openalex.org/W2944513470","doi":"https://doi.org/10.1109/tcns.2019.2915626","title":"Distributed Continuous-Time Nonsmooth Convex Optimization With Coupled Inequality Constraints","display_name":"Distributed Continuous-Time Nonsmooth Convex Optimization With Coupled Inequality Constraints","publication_year":2019,"publication_date":"2019-05-08","ids":{"openalex":"https://openalex.org/W2944513470","doi":"https://doi.org/10.1109/tcns.2019.2915626","mag":"2944513470"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2019.2915626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2019.2915626","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","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/A5037854048","display_name":"Xiuxian Li","orcid":"https://orcid.org/0000-0002-4938-0468"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Xiuxian Li","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-4938-0468","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lihua Xie","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7137-4136","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100359415","display_name":"Yiguang Hong","orcid":"https://orcid.org/0000-0001-9505-8739"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiguang Hong","raw_affiliation_strings":["Key Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9505-8739","affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Institute of Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.2199,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.96802812,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"7","issue":"1","first_page":"74","last_page":"84"},"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":0.9656999707221985,"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":0.9556999802589417,"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":0.6918929219245911},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6010160446166992},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5963389873504639},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5642626285552979},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5488154292106628},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4913763105869293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4835474193096161},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.47044792771339417},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4688037037849426},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4633719325065613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44562190771102905},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.404398113489151}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6918929219245911},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6010160446166992},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5963389873504639},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5642626285552979},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5488154292106628},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4913763105869293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4835474193096161},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.47044792771339417},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4688037037849426},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4633719325065613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44562190771102905},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.404398113489151},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcns.2019.2915626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2019.2915626","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/154200","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/154200","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"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":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G5319174282","display_name":"\u57fa\u4e8e\u51b3\u7b56\u7684\u590d\u6742\u975e\u7ebf\u6027\u7cfb\u7edf\u63a7\u5236","funder_award_id":"61733018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7152861903","display_name":"\u4e58\u6027\u566a\u58f0\u968f\u673a\u7ebf\u6027\u7cfb\u7edf\u6700\u4f18\u63a7\u5236\u4e0e\u53cd\u9988\u9547\u5b9a\u7814\u7a76","funder_award_id":"61633014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7893519798","display_name":null,"funder_award_id":"61573344","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1551360398","https://openalex.org/W1968094122","https://openalex.org/W2048723778","https://openalex.org/W2056014954","https://openalex.org/W2057929279","https://openalex.org/W2070291355","https://openalex.org/W2086929129","https://openalex.org/W2114791779","https://openalex.org/W2129123449","https://openalex.org/W2138764986","https://openalex.org/W2155356457","https://openalex.org/W2157976960","https://openalex.org/W2164642931","https://openalex.org/W2243302717","https://openalex.org/W2273484141","https://openalex.org/W2282594424","https://openalex.org/W2289181119","https://openalex.org/W2466005951","https://openalex.org/W2509152809","https://openalex.org/W2517192452","https://openalex.org/W2521320587","https://openalex.org/W2527559122","https://openalex.org/W2568893241","https://openalex.org/W2588148443","https://openalex.org/W2590184275","https://openalex.org/W2592202249","https://openalex.org/W2609535051","https://openalex.org/W2737115025","https://openalex.org/W2752175744","https://openalex.org/W2752509387","https://openalex.org/W2759840931","https://openalex.org/W2963135216","https://openalex.org/W2963327334","https://openalex.org/W2964211247","https://openalex.org/W3103470934","https://openalex.org/W4297926883","https://openalex.org/W4299439662","https://openalex.org/W6744690366"],"related_works":["https://openalex.org/W4385382439","https://openalex.org/W1808520126","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W2089102366","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W2347536774"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"distributed":[3,91],"convex":[4],"optimization":[5,92],"problems":[6],"over":[7],"continuous-time":[8,48],"multiagent":[9],"networks":[10],"subject":[11],"to":[12,36,41,85],"two":[13],"types":[14],"of":[15,61,70,72,82],"constraints,":[16,25],"i.e.,":[17],"local":[18,55],"feasible":[19,56],"set":[20],"constraints":[21],"and":[22,79],"coupled":[23],"inequality":[24],"where":[26],"all":[27],"involved":[28],"functions":[29],"are":[30,94],"not":[31],"necessarily":[32],"differentiable,":[33],"only":[34],"assumed":[35],"be":[37],"convex.":[38],"In":[39],"order":[40],"solve":[42],"this":[43],"problem,":[44],"a":[45,63,97,115],"modified":[46],"primal-dual":[47],"algorithm":[49,74,84,105],"is":[50,100,112],"proposed":[51],"by":[52,114],"projections":[53],"on":[54],"sets.":[57],"With":[58],"the":[59,68,73,76,80,83,90,104,109],"aid":[60],"constructing":[62],"proper":[64],"Lyapunov":[65],"function":[66],"candidate,":[67],"existence":[69],"solutions":[71],"in":[75],"Carath\u00e9odory":[77],"sense":[78],"convergence":[81],"an":[86],"optimal":[87],"solution":[88],"for":[89,102],"problem":[93],"established.":[95],"Additionally,":[96],"sufficient":[98],"condition":[99],"provided":[101],"making":[103],"fully":[106],"distributed.":[107],"Finally,":[108],"theoretical":[110],"result":[111],"corroborated":[113],"simulation":[116],"example.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}