{"id":"https://openalex.org/W3107016191","doi":"https://doi.org/10.1109/icca51439.2020.9264371","title":"Multi-criteria dynamic optimization of mean-field stochastic linear-quadratic cooperative difference games in the finite time horizon","display_name":"Multi-criteria dynamic optimization of mean-field stochastic linear-quadratic cooperative difference games in the finite time horizon","publication_year":2020,"publication_date":"2020-10-09","ids":{"openalex":"https://openalex.org/W3107016191","doi":"https://doi.org/10.1109/icca51439.2020.9264371","mag":"3107016191"},"language":"en","primary_location":{"id":"doi:10.1109/icca51439.2020.9264371","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca51439.2020.9264371","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 16th International Conference on Control &amp; Automation (ICCA)","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/A5085704152","display_name":"Chenchen Peng","orcid":"https://orcid.org/0000-0003-3637-7830"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chenchen Peng","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020929135","display_name":"Weihai Zhang","orcid":"https://orcid.org/0000-0001-7470-077X"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihai Zhang","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085704152"],"corresponding_institution_ids":["https://openalex.org/I80143920"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22989191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"400","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9789999723434448,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T12137","display_name":"Economic theories and models","score":0.9757000207901001,"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":0.9700999855995178,"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/mathematics","display_name":"Mathematics","score":0.7529844641685486},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.6305402517318726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5293279886245728},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.48867490887641907},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47776949405670166},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44943439960479736},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4142586290836334},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10438269376754761},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.09522956609725952},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06725519895553589}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7529844641685486},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.6305402517318726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5293279886245728},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.48867490887641907},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47776949405670166},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44943439960479736},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4142586290836334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10438269376754761},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.09522956609725952},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06725519895553589},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icca51439.2020.9264371","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icca51439.2020.9264371","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 16th International Conference on Control &amp; Automation (ICCA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326189","display_name":"Taishan Scholar Project of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1594802219","https://openalex.org/W1884617513","https://openalex.org/W1976424144","https://openalex.org/W1977377218","https://openalex.org/W2021879117","https://openalex.org/W2030435702","https://openalex.org/W2086578213","https://openalex.org/W2092834085","https://openalex.org/W2110373411","https://openalex.org/W2110469502","https://openalex.org/W2409020481","https://openalex.org/W2739278320","https://openalex.org/W2901023245","https://openalex.org/W2936886127","https://openalex.org/W2946445290","https://openalex.org/W3001306436","https://openalex.org/W3123344192","https://openalex.org/W3125882718","https://openalex.org/W3140017782","https://openalex.org/W4233043638"],"related_works":["https://openalex.org/W2180954594","https://openalex.org/W2052835778","https://openalex.org/W2049003611","https://openalex.org/W2127804977","https://openalex.org/W2108418243","https://openalex.org/W164103134","https://openalex.org/W2787352659","https://openalex.org/W1970611213","https://openalex.org/W4206560911","https://openalex.org/W4372260270"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"is":[3,37,46],"concerned":[4],"with":[5,81],"the":[6,10,34,40,50,61,73,77,82,85,93,96,114,123,126,135,140,146,154,157],"Pareto":[7,109,115,141],"optimality":[8],"of":[9,33,43,72,95,99,122,150],"mean-field":[11,86],"stochastic":[12,87],"linear-quadratic":[13],"(LQ)":[14],"multi-criteria":[15],"optimal":[16,147],"control":[17],"problems":[18],"over":[19],"a":[20,27,57,70,102],"finite":[21],"time":[22],"horizon.":[23],"Firstly,":[24],"we":[25],"present":[26],"fact":[28],"that":[29],"when":[30],"each":[31],"one":[32],"payoff":[35,44,62,100],"functions":[36,45,63,101],"convex,":[38,48],"then":[39],"weighted":[41,97,127,158],"sum":[42,98],"also":[47],"but":[49],"inverse":[51],"does":[52],"not":[53],"hold.":[54],"Secondly,":[55],"for":[56],"fixed":[58],"initial":[59],"value,":[60],"are":[64,118,143],"derived":[65],"to":[66,84,107,125,156],"be":[67],"convex":[68],"as":[69],"result":[71],"conditions":[74],"imposed":[75],"on":[76],"weighting":[78,136],"matrices":[79,149],"combining":[80],"solutions":[83,124,142,155],"linear":[88],"difference":[89,130,161],"equation,":[90],"which":[91],"makes":[92],"minimization":[94],"necessary":[103],"and":[104,134,153],"sufficient":[105],"criterion":[106],"obtain":[108],"efficient":[110,116,151],"controls.":[111],"Furthermore,":[112],"all":[113,139],"controls":[117,152],"obtained":[119],"in":[120],"light":[121],"cross-coupled":[128,159],"backward":[129,160],"Riccati":[131],"equations":[132,163],"(DREs)":[133],"method.":[137],"Finally,":[138],"presented":[144],"by":[145],"feedback":[148],"Lyapunov":[162],"(DLEs).":[164]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
