{"id":"https://openalex.org/W2068056782","doi":"https://doi.org/10.1109/cdc.2013.6760362","title":"A linear quadratic control problem with mean field dependent fixed costs","display_name":"A linear quadratic control problem with mean field dependent fixed costs","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2068056782","doi":"https://doi.org/10.1109/cdc.2013.6760362","mag":"2068056782"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760362","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760362","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5050187359","display_name":"Silvia Faggian","orcid":"https://orcid.org/0000-0002-2318-1620"},"institutions":[{"id":"https://openalex.org/I149461666","display_name":"Ca' Foscari University of Venice","ror":"https://ror.org/04yzxz566","country_code":"IT","type":"education","lineage":["https://openalex.org/I149461666"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Silvia Faggian","raw_affiliation_strings":["Department of Economics, University \u201cCa'Foscari\u201d, Venice, Italy","Dept. of Econ., Univ. \u201cCa'Foscari\u201d Venice, Venice, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Economics, University \u201cCa'Foscari\u201d, Venice, Italy","institution_ids":["https://openalex.org/I149461666"]},{"raw_affiliation_string":"Dept. of Econ., Univ. \u201cCa'Foscari\u201d Venice, Venice, Italy","institution_ids":["https://openalex.org/I149461666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066238119","display_name":"Raffaele Pesenti","orcid":"https://orcid.org/0000-0001-5890-4238"},"institutions":[{"id":"https://openalex.org/I149461666","display_name":"Ca' Foscari University of Venice","ror":"https://ror.org/04yzxz566","country_code":"IT","type":"education","lineage":["https://openalex.org/I149461666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Raffaele Pesenti","raw_affiliation_strings":["Department of Management, University \u201cCa'Foscari\u201d, Venice, Italy","Dept. of Manage., Univ. \u201cCa'Foscari\u201d Venice, Venice, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Management, University \u201cCa'Foscari\u201d, Venice, Italy","institution_ids":["https://openalex.org/I149461666"]},{"raw_affiliation_string":"Dept. of Manage., Univ. \u201cCa'Foscari\u201d Venice, Venice, Italy","institution_ids":["https://openalex.org/I149461666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050187359"],"corresponding_institution_ids":["https://openalex.org/I149461666"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14233501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3140","last_page":"3145"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10471","display_name":"Climate Change Policy and Economics","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9724000096321106,"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/bellman-equation","display_name":"Bellman equation","score":0.6256000399589539},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5968189239501953},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5791003108024597},{"id":"https://openalex.org/keywords/fixed-cost","display_name":"Fixed cost","score":0.5289837121963501},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.5112226009368896},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5075443983078003},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5059260725975037},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.48657453060150146},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4839763641357422},{"id":"https://openalex.org/keywords/control-variable","display_name":"Control variable","score":0.47631844878196716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3206970691680908},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10785883665084839},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06967547535896301},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06745260953903198}],"concepts":[{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6256000399589539},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5968189239501953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5791003108024597},{"id":"https://openalex.org/C42866809","wikidata":"https://www.wikidata.org/wiki/Q466764","display_name":"Fixed cost","level":2,"score":0.5289837121963501},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.5112226009368896},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5075443983078003},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5059260725975037},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.48657453060150146},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4839763641357422},{"id":"https://openalex.org/C153240184","wikidata":"https://www.wikidata.org/wiki/Q3243772","display_name":"Control variable","level":2,"score":0.47631844878196716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3206970691680908},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10785883665084839},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06967547535896301},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06745260953903198},{"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/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2013.6760362","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760362","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unive.it:10278/38562","is_oa":false,"landing_page_url":"http://hdl.handle.net/10278/38562","pdf_url":null,"source":{"id":"https://openalex.org/S4306402336","display_name":"ARCA (Universit\u00e0 Ca' Foscari Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149461666","host_organization_name":"Ca' Foscari University of Venice","host_organization_lineage":["https://openalex.org/I149461666"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1821455959","https://openalex.org/W2011435133","https://openalex.org/W2025522218","https://openalex.org/W2042333948","https://openalex.org/W2097730910","https://openalex.org/W2102736491","https://openalex.org/W2173375035","https://openalex.org/W6638427445"],"related_works":["https://openalex.org/W4255265352","https://openalex.org/W4239477580","https://openalex.org/W4285537323","https://openalex.org/W1932159282","https://openalex.org/W2090698372","https://openalex.org/W4383890581","https://openalex.org/W2965004901","https://openalex.org/W2921905705","https://openalex.org/W4233178034","https://openalex.org/W2003293420"],"abstract_inverted_index":{"The":[0],"paper":[1],"deals":[2],"with":[3],"an":[4,118],"optimal":[5,137,145],"control":[6,23,36,50,169],"problem":[7,59],"in":[8,21,32,86,125,140],"one":[9],"dimension,":[10],"having":[11],"affine":[12],"dynamics,":[13],"and":[14,35,110,186],"a":[15,38,58,69,132,148,155,177],"running":[16],"cost":[17,43,85,163],"which":[18,29],"is":[19,44,51,75,152,184,189],"discontinuous":[20],"the":[22,33,49,73,80,83,93,98,122,136,162,166,172,179],"variable.":[24],"More":[25],"precisely,":[26],"besides":[27],"terms":[28],"are":[30,114],"quadratic":[31],"state":[34,99],"variables,":[37],"mean":[39,149],"field":[40,150],"dependent":[41],"fixed":[42,84,173],"paid":[45],"as":[46,48,92,129,131],"long":[47],"activated":[52],"(not":[53],"null).":[54],"This":[55],"leads":[56],"to":[57,66,79,88,116,143],"that,":[60],"although":[61],"simple,":[62],"does":[63],"not":[64],"seem":[65],"fall":[67],"into":[68,97],"known":[70],"class.":[71],"Moreover,":[72],"outcome":[74],"completely":[76],"different":[77,127],"according":[78],"magnitude":[81],"of":[82,103,106,157,165,181],"comparison":[87],"other":[89],"parameters,":[90],"such":[91,176],"(constant)":[94],"disturbance":[95],"appearing":[96],"equation.":[100],"By":[101],"means":[102],"some":[104,141],"tools":[105],"Bellman's":[107],"Dynamic":[108],"Programming":[109],"viscosity":[111],"solutions,":[112],"we":[113],"able":[115],"provide":[117],"explicit":[119],"formula":[120,134],"for":[121,135],"value":[123],"function":[124],"all":[126],"cases,":[128],"well":[130],"feedback":[133],"control,":[138],"leading":[139],"subcases":[142],"chattering":[144],"controls.":[146],"Finally":[147],"game":[151,178],"introduced":[153],"where":[154],"set":[156],"homogeneous":[158],"players":[159],"minimize":[160],"each":[161],"functional":[164],"single":[167],"player":[168],"problem,":[170],"sharing":[171],"cost.":[174],"For":[175],"existence":[180],"equilibrium":[182],"points":[183],"proved":[185],"their":[187],"characterization":[188],"displayed.":[190]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
