{"id":"https://openalex.org/W3136430455","doi":"https://doi.org/10.1109/tcns.2021.3068349","title":"Nonsmooth Resource Allocation of Multiagent Systems With Disturbances: A Proximal Approach","display_name":"Nonsmooth Resource Allocation of Multiagent Systems With Disturbances: A Proximal Approach","publication_year":2021,"publication_date":"2021-03-23","ids":{"openalex":"https://openalex.org/W3136430455","doi":"https://doi.org/10.1109/tcns.2021.3068349","mag":"3136430455"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2021.3068349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2021.3068349","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":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Nonsmooth_Resource_Allocation_of_Multi-Agent_Systems_with_Disturbances_A_Proximal_Approach/27542517","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/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanan Zhu","raw_affiliation_strings":["School of Automation, Nanjing University of Information Science and Technology, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-7980-6282","affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]}]},{"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/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":"Guanghui Wen","raw_affiliation_strings":["Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, 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"},"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":["Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3755-179X","affiliations":[{"raw_affiliation_string":"Jiangsu Provincial Key Laboratory of Networked Collective Intelligence, School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070195520","display_name":"Xinghuo Yu","orcid":"https://orcid.org/0000-0001-8093-9787"},"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":"Xinghuo Yu","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0001-8093-9787","affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2538,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.94231942,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"8","issue":"3","first_page":"1454","last_page":"1464"},"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.989300012588501,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9873999953269958,"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":0.877790629863739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6921839714050293},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.6772978901863098},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6635265350341797},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.5663326382637024},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44225257635116577},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43255770206451416},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4170505106449127},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.33095288276672363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26516926288604736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2006784975528717},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16325461864471436}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.877790629863739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6921839714050293},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.6772978901863098},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6635265350341797},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.5663326382637024},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44225257635116577},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43255770206451416},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4170505106449127},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.33095288276672363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26516926288604736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2006784975528717},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16325461864471436},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcns.2021.3068349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2021.3068349","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:alma61RMIT.INST:11288761780001341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/TCNS.2021.3068349","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/27542517","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Nonsmooth_Resource_Allocation_of_Multi-Agent_Systems_with_Disturbances_A_Proximal_Approach/27542517","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/27542517","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Nonsmooth_Resource_Allocation_of_Multi-Agent_Systems_with_Disturbances_A_Proximal_Approach/27542517","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":[{"score":0.5699999928474426,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G1555109696","display_name":null,"funder_award_id":"2020r012","funder_id":"https://openalex.org/F4320324849","funder_display_name":"Nanjing University of Information Science and Technology"},{"id":"https://openalex.org/G3650039521","display_name":"Dynamics and Resilience of Complex Network Systems with Switching Topology ","funder_award_id":"DP200101199","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G4949000581","display_name":null,"funder_award_id":"62073076","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5060958647","display_name":null,"funder_award_id":"62073079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5674403503","display_name":null,"funder_award_id":"BK20200809","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"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/F4320324849","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19"},{"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":53,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W296003671","https://openalex.org/W1627780903","https://openalex.org/W1630241696","https://openalex.org/W1989165177","https://openalex.org/W2027741263","https://openalex.org/W2095156646","https://openalex.org/W2162991547","https://openalex.org/W2215067230","https://openalex.org/W2256186208","https://openalex.org/W2273484141","https://openalex.org/W2277723519","https://openalex.org/W2282594424","https://openalex.org/W2310320799","https://openalex.org/W2421576504","https://openalex.org/W2532703171","https://openalex.org/W2587442988","https://openalex.org/W2592202249","https://openalex.org/W2592938128","https://openalex.org/W2593034620","https://openalex.org/W2618180460","https://openalex.org/W2753220394","https://openalex.org/W2765383110","https://openalex.org/W2772743719","https://openalex.org/W2793365223","https://openalex.org/W2809583909","https://openalex.org/W2883071866","https://openalex.org/W2888365901","https://openalex.org/W2890467898","https://openalex.org/W2899194738","https://openalex.org/W2906493430","https://openalex.org/W2912721442","https://openalex.org/W2913012899","https://openalex.org/W2913384054","https://openalex.org/W2913535645","https://openalex.org/W2914412030","https://openalex.org/W2922128661","https://openalex.org/W2946038967","https://openalex.org/W2962796314","https://openalex.org/W2964839851","https://openalex.org/W2967684671","https://openalex.org/W2968630554","https://openalex.org/W2969454470","https://openalex.org/W2970372812","https://openalex.org/W2970419580","https://openalex.org/W2996124375","https://openalex.org/W3104429825","https://openalex.org/W3140720497","https://openalex.org/W3149993318","https://openalex.org/W4213367573","https://openalex.org/W4229650096","https://openalex.org/W4244393449","https://openalex.org/W4299439662"],"related_works":["https://openalex.org/W2037613239","https://openalex.org/W2359120930","https://openalex.org/W2781777036","https://openalex.org/W2390469630","https://openalex.org/W2059050877","https://openalex.org/W1971290991","https://openalex.org/W1944783162","https://openalex.org/W4378770495","https://openalex.org/W4361865857","https://openalex.org/W2962762987"],"abstract_inverted_index":{"This":[0],"article":[1],"aims":[2],"to":[3,38,68,140,174],"solve":[4,76],"the":[5,11,24,43,47,57,63,69,93,100,117,121,131,135,141,145,149,155,162,169,176],"nonsmooth":[6],"resource":[7,17,80],"allocation":[8,81],"problem":[9],"in":[10,23],"presence":[12],"of":[13,26,46,71,73,86,95,144],"a":[14,78,83],"global":[15],"network":[16],"constraint":[18],"and":[19,42,99],"local":[20],"set":[21],"constraints":[22],"framework":[25],"multiagent":[27,34,132],"system":[28],"optimization.":[29],"It":[30],"is":[31,90,106,123],"assumed":[32],"that":[33,116,130],"systems":[35,133],"are":[36,152,172],"subject":[37],"some":[39],"external":[40,150],"disturbances,":[41],"control":[44],"inputs":[45],"agents":[48,122],"satisfy":[49],"Lispchitz":[50],"continuity.":[51],"These":[52],"two":[53],"distinguished":[54],"features":[55],"render":[56],"existing":[58],"distributed":[59],"optimization":[60,97],"algorithms,":[61],"especially":[62],"subgradient-based":[64],"algorithms":[65,137],"inapplicable":[66],"due":[67],"employment":[70],"discontinuity":[72],"subgradients.":[74],"To":[75],"such":[77,115],"challenging":[79],"problem,":[82,147],"new":[84],"kind":[85],"continuous-time":[87,118],"proximal":[88,104,163],"algorithm":[89,105,164],"designed":[91],"with":[92,165],"aid":[94],"convex":[96],"theory":[98],"internal-model":[101],"technique.":[102],"The":[103,126],"further":[107],"augmented":[108],"by":[109],"introducing":[110],"an":[111],"event-based":[112,166],"communication":[113,119],"scheme":[114],"among":[120],"avoided":[124],"successfully.":[125],"theoretical":[127,178],"analysis":[128],"shows":[129],"under":[134],"proposed":[136],"can":[138,158],"converge":[139],"optimal":[142],"solution":[143],"considered":[146],"while":[148],"disturbances":[151],"rejected.":[153],"Besides,":[154],"Zeno":[156],"behavior":[157],"be":[159],"excluded":[160],"for":[161],"communication.":[167],"Finally,":[168],"numerical":[170],"simulations":[171],"given":[173],"verify":[175],"established":[177],"results.":[179]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
