{"id":"https://openalex.org/W2770132917","doi":"https://doi.org/10.1109/tcns.2019.2925267","title":"Constraint-Coupled Distributed Optimization: A Relaxation and Duality Approach","display_name":"Constraint-Coupled Distributed Optimization: A Relaxation and Duality Approach","publication_year":2019,"publication_date":"2019-06-26","ids":{"openalex":"https://openalex.org/W2770132917","doi":"https://doi.org/10.1109/tcns.2019.2925267","mag":"2770132917"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2019.2925267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2019.2925267","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1711.09221","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007708568","display_name":"Ivano Notarnicola","orcid":"https://orcid.org/0000-0002-9841-3684"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ivano Notarnicola","raw_affiliation_strings":["Department of Electrical, Electronic and Information Engineering, University of Bologna, Bologna, Italy","Department of Electrical,\u00a0Electronic, and Information Engineering University of Bologna Bologna Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Information Engineering, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Department of Electrical,\u00a0Electronic, and Information Engineering University of Bologna Bologna Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017893179","display_name":"Giuseppe Notarstefano","orcid":"https://orcid.org/0000-0002-0906-7848"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Notarstefano","raw_affiliation_strings":["Department of Electrical, Electronic and Information Engineering, University of Bologna, Bologna, Italy","Department of Electrical,\u00a0Electronic, and Information Engineering University of Bologna Bologna Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Information Engineering, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"Department of Electrical,\u00a0Electronic, and Information Engineering University of Bologna Bologna Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007708568"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":0.19416472,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.49870182,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"7","issue":"1","first_page":"483","last_page":"492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9987000226974487,"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":0.9987000226974487,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9958000183105469,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9902999997138977,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7089974880218506},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6709073185920715},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.570915937423706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5578567981719971},{"id":"https://openalex.org/keywords/duality-gap","display_name":"Duality gap","score":0.5473974347114563},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.5121729373931885},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5116701126098633},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45780372619628906},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4565848708152771},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.4196995198726654},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4175082743167877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36014747619628906},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.13250723481178284},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08063280582427979}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7089974880218506},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6709073185920715},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.570915937423706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5578567981719971},{"id":"https://openalex.org/C5274546","wikidata":"https://www.wikidata.org/wiki/Q5310264","display_name":"Duality gap","level":3,"score":0.5473974347114563},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.5121729373931885},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5116701126098633},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45780372619628906},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4565848708152771},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.4196995198726654},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4175082743167877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36014747619628906},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.13250723481178284},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08063280582427979},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tcns.2019.2925267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2019.2925267","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:arXiv.org:1711.09221","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.09221","pdf_url":"https://arxiv.org/pdf/1711.09221","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"mag:2770132917","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1711.09221.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1711.09221","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.09221","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1711.09221","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.09221","pdf_url":"https://arxiv.org/pdf/1711.09221","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":0.6000000238418579,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1409984952","https://openalex.org/W1540376964","https://openalex.org/W1597371567","https://openalex.org/W1603765807","https://openalex.org/W1669104078","https://openalex.org/W1963529497","https://openalex.org/W1980427108","https://openalex.org/W1992445613","https://openalex.org/W2002745466","https://openalex.org/W2003085133","https://openalex.org/W2007253528","https://openalex.org/W2022255443","https://openalex.org/W2022948311","https://openalex.org/W2027741263","https://openalex.org/W2042005915","https://openalex.org/W2044212084","https://openalex.org/W2046629409","https://openalex.org/W2047266644","https://openalex.org/W2067479055","https://openalex.org/W2114791779","https://openalex.org/W2129122308","https://openalex.org/W2137435346","https://openalex.org/W2146487916","https://openalex.org/W2148087609","https://openalex.org/W2155356457","https://openalex.org/W2162986857","https://openalex.org/W2172030407","https://openalex.org/W2266148951","https://openalex.org/W2345986964","https://openalex.org/W2568596216","https://openalex.org/W2580975717","https://openalex.org/W2609535051","https://openalex.org/W2798766386","https://openalex.org/W2811008754","https://openalex.org/W2962751385","https://openalex.org/W2963128910","https://openalex.org/W2963183767","https://openalex.org/W2963590077","https://openalex.org/W2964229391","https://openalex.org/W3101665129"],"related_works":["https://openalex.org/W2962821801","https://openalex.org/W2766883112","https://openalex.org/W2571533307","https://openalex.org/W144246971","https://openalex.org/W2804940981","https://openalex.org/W3133394907","https://openalex.org/W2563261660","https://openalex.org/W3034669529","https://openalex.org/W3195863041","https://openalex.org/W2256937898","https://openalex.org/W3097103738","https://openalex.org/W3174696979","https://openalex.org/W2593755793","https://openalex.org/W2912438856","https://openalex.org/W2911868526","https://openalex.org/W2936329642","https://openalex.org/W14230115","https://openalex.org/W2038509738","https://openalex.org/W2947795879","https://openalex.org/W2907771404"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,157],"consider":[4],"a":[5,20,35,54,61,87,98,104,167,174],"general,":[6],"challenging":[7],"distributed":[8,57,84],"optimization":[9],"set-up":[10],"arising":[11],"in":[12,148,173],"several":[13,80],"important":[14],"network":[15,21],"control":[16,176],"applications.":[17],"Agents":[18],"of":[19,27,63,71,103,108,127,132,166],"want":[22],"to":[23,39,163],"minimize":[24],"the":[25,45,49,64,83,109,133,154,160],"sum":[26],"local":[28,36,40,117],"cost":[29],"functions,":[30],"each":[31,95],"one":[32],"depending":[33],"on":[34,60,79],"variable,":[37],"subject":[38],"and":[41,67,90,112],"coupling":[42],"constraints,":[43],"with":[44],"latter":[46],"involving":[47],"all":[48],"decision":[50],"variables.":[51,118],"We":[52,119],"propose":[53],"novel":[55],"fully":[56],"algorithm":[58,85],"based":[59,78],"relaxation":[62],"primal":[65,137],"problem":[66],"an":[68,128,164],"elegant":[69],"exploration":[70],"duality":[72,81],"theory.":[73],"Despite":[74],"its":[75],"complex":[76],"derivation,":[77],"steps,":[82],"has":[86],"very":[88],"simple":[89],"intuitive":[91],"structure.":[92],"That":[93],"is,":[94],"node":[96],"finds":[97],"primal-dual":[99],"optimal":[100,129],"solution":[101,131],"pair":[102],"local,":[105],"relaxed":[106],"version":[107],"original":[110,134],"problem,":[111],"then":[113],"updates":[114],"suitable":[115],"auxiliary":[116],"prove":[120],"that":[121],"agents":[122],"asymptotically":[123],"compute":[124],"their":[125],"portion":[126],"(feasible)":[130],"problem.":[135],"This":[136],"recovery":[138],"property":[139],"is":[140],"obtained":[141],"without":[142],"any":[143],"averaging":[144],"mechanism":[145],"typically":[146],"used":[147],"dual":[149],"decomposition":[150],"methods.":[151],"To":[152],"corroborate":[153],"theoretical":[155],"results,":[156],"show":[158],"how":[159],"methodology":[161],"applies":[162],"instance":[165],"Distributed":[168],"Model":[169],"Predictive":[170],"Control":[171],"scheme":[172],"microgrid":[175],"scenario.":[177]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}