{"id":"https://openalex.org/W2095840799","doi":"https://doi.org/10.1109/tac.2009.2026854","title":"Pareto Optimal Strategy for Stochastic Weakly Coupled Large Scale Systems With State Dependent System Noise","display_name":"Pareto Optimal Strategy for Stochastic Weakly Coupled Large Scale Systems With State Dependent System Noise","publication_year":2009,"publication_date":"2009-08-21","ids":{"openalex":"https://openalex.org/W2095840799","doi":"https://doi.org/10.1109/tac.2009.2026854","mag":"2095840799"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2009.2026854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2026854","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hiroshima.repo.nii.ac.jp/records/2007002","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057193482","display_name":"Hiroaki Mukaidani","orcid":"https://orcid.org/0000-0001-6740-7102"},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Mukaidani","raw_affiliation_strings":["Graduate School of Education, Hiroshima University, Hiroshima, Japan","Grad. Sch. of Educ., Hiroshima Univ., Higashi-Hiroshima, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Education, Hiroshima University, Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]},{"raw_affiliation_string":"Grad. Sch. of Educ., Hiroshima Univ., Higashi-Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049413017","display_name":"Hua Xu","orcid":"https://orcid.org/0000-0001-5478-6879"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hua Xu","raw_affiliation_strings":["Graduate School of Business Sciences, University of Tsukuba, Tokyo, Japan","Graduate School of Business Sciences University of Tsukuba Tokyo , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Business Sciences, University of Tsukuba, Tokyo, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Graduate School of Business Sciences University of Tsukuba Tokyo , Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.3218,"has_fulltext":true,"cited_by_count":49,"citation_normalized_percentile":{"value":0.98415748,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"54","issue":"9","first_page":"2244","last_page":"2250"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9842000007629395,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9842000007629395,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.972100019454956,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6027164459228516},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5794022679328918},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5454580783843994},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4870591461658478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47933778166770935},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.4697920083999634},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4597940146923065},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.41410452127456665},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.36398857831954956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32633140683174133},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1898622214794159},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.11887738108634949}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6027164459228516},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5794022679328918},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5454580783843994},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4870591461658478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47933778166770935},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.4697920083999634},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4597940146923065},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.41410452127456665},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.36398857831954956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32633140683174133},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1898622214794159},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.11887738108634949},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2009.2026854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2009.2026854","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:ir.lib.hiroshima-u.ac.jp:00028864","is_oa":false,"landing_page_url":"http://ir.lib.hiroshima-u.ac.jp/00028864","pdf_url":null,"source":{"id":"https://openalex.org/S4377196292","display_name":"Hiroshima University Acedemic Information Repository (Hiroshima University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I113306721","host_organization_name":"Hiroshima University","host_organization_lineage":["https://openalex.org/I113306721"],"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"},{"id":"pmh:oai:irdb.nii.ac.jp:01372:0006660589","is_oa":true,"landing_page_url":"https://hiroshima.repo.nii.ac.jp/records/2007002","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01372:0006660589","is_oa":true,"landing_page_url":"https://hiroshima.repo.nii.ac.jp/records/2007002","pdf_url":null,"source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.4399999976158142}],"awards":[{"id":"https://openalex.org/G8430311806","display_name":"Construction and Implementation of Stochastic Nash Equilibrium for Large-Scale Systems with Noise","funder_award_id":"20500014","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W335071387","https://openalex.org/W415869901","https://openalex.org/W1551784909","https://openalex.org/W1580992231","https://openalex.org/W1593496074","https://openalex.org/W1964143231","https://openalex.org/W1994266622","https://openalex.org/W2010802964","https://openalex.org/W2062432603","https://openalex.org/W2069372765","https://openalex.org/W2087214148","https://openalex.org/W2093184664","https://openalex.org/W2104861004","https://openalex.org/W2108260994","https://openalex.org/W2124783336","https://openalex.org/W2126394835","https://openalex.org/W2129488707","https://openalex.org/W2137547645","https://openalex.org/W2157021578","https://openalex.org/W2169799656","https://openalex.org/W2171472775","https://openalex.org/W2552820819","https://openalex.org/W4231011685","https://openalex.org/W4243001631","https://openalex.org/W4248241950"],"related_works":["https://openalex.org/W2005019312","https://openalex.org/W2105459831","https://openalex.org/W1546579375","https://openalex.org/W2127238600","https://openalex.org/W1563296412","https://openalex.org/W16457797","https://openalex.org/W2792258377","https://openalex.org/W1530596433","https://openalex.org/W2096105566","https://openalex.org/W1993854306"],"abstract_inverted_index":{"This":[0],"note":[1],"is":[2,95,109],"concerned":[3],"with":[4,22],"the":[5,43,52,55,62,68,72,75,87,99,103,106],"decentralized":[6],"infinite":[7],"horizon":[8],"stochastic":[9,45],"Pareto-optimal":[10,26,100],"static":[11,33,56],"output":[12,34,57],"feedback":[13,35,58],"strategy":[14,59],"for":[15,50,85,116],"a":[16,32,77,113,117],"class":[17],"of":[18,54,71,74,105],"weakly":[19],"coupled":[20],"systems":[21],"state-dependent":[23],"noise.":[24],"First,":[25],"control":[27,120],"problems":[28],"are":[29,40,89],"formulated":[30],"using":[31],"strategy.":[36,101],"The":[37,91],"necessary":[38],"conditions":[39],"given":[41],"by":[42,111],"cross-coupled":[44],"algebraic":[46],"Riccati-type":[47],"equations":[48],"(CSAREs)":[49],"proving":[51],"existence":[53],"that":[60],"minimizes":[61],"quadratic":[63],"cost":[64],"function.":[65],"After":[66],"determining":[67],"asymptotic":[69],"structure":[70],"solutions":[73],"CSAREs,":[76],"new":[78],"sequential":[79],"numerical":[80,93,114],"algorithm":[81,108],"and":[82],"Newton's":[83],"method":[84],"solving":[86,112],"CSAREs":[88],"described.":[90],"resulting":[92],"solution":[94],"used":[96],"to":[97],"develop":[98],"Finally,":[102],"efficiency":[104],"proposed":[107],"demonstrated":[110],"example":[115],"practical":[118],"megawatt-frequency":[119],"problem.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
