{"id":"https://openalex.org/W2094911697","doi":"https://doi.org/10.1109/cdc.2013.6760043","title":"Nonlinear stochastic H<inf>2</inf>/H<inf>∞</inf> control with multiple decision makers","display_name":"Nonlinear stochastic H<inf>2</inf>/H<inf>∞</inf> control with multiple decision makers","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2094911697","doi":"https://doi.org/10.1109/cdc.2013.6760043","mag":"2094911697"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760043","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":"conference-paper","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/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":true,"raw_author_name":"Hiroaki Mukaidani","raw_affiliation_strings":["Institute of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","[Institute of Engineering, Hiroshima University, Higashi-Hiroshima, Japan]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]},{"raw_affiliation_string":"[Institute of Engineering, Hiroshima University, Higashi-Hiroshima, Japan]","institution_ids":["https://openalex.org/I113306721"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057193482"],"corresponding_institution_ids":["https://openalex.org/I113306721"],"apc_list":null,"apc_paid":null,"fwci":2.1788,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87209099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1186","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12277","display_name":"Frequency Control in Power Systems","score":0.9602000117301941,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9589999914169312,"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/chebyshev-filter","display_name":"Chebyshev filter","score":0.6015434861183167},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5619591474533081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5577297806739807},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5076452493667603},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4924698770046234},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.4293994605541229},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41443681716918945},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36324843764305115},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33046215772628784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3261951506137848},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20916584134101868},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10100844502449036}],"concepts":[{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.6015434861183167},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5619591474533081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5577297806739807},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5076452493667603},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4924698770046234},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4293994605541229},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41443681716918945},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36324843764305115},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33046215772628784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3261951506137848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20916584134101868},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10100844502449036},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760043","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.75,"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":14,"referenced_works":["https://openalex.org/W103048554","https://openalex.org/W1492186721","https://openalex.org/W1495711302","https://openalex.org/W1593496074","https://openalex.org/W1679267374","https://openalex.org/W2010123645","https://openalex.org/W2047090868","https://openalex.org/W2055093780","https://openalex.org/W2075706323","https://openalex.org/W2083283377","https://openalex.org/W2128439267","https://openalex.org/W2333107818","https://openalex.org/W4232082450","https://openalex.org/W4235816940"],"related_works":["https://openalex.org/W2390710574","https://openalex.org/W2010728213","https://openalex.org/W3149552330","https://openalex.org/W3153890349","https://openalex.org/W2044616209","https://openalex.org/W4232719086","https://openalex.org/W2158021219","https://openalex.org/W3004604782","https://openalex.org/W185690960","https://openalex.org/W2087249657"],"abstract_inverted_index":{"In":[0,49,71],"this":[1],"paper,":[2],"infinite-horizon":[3],"H2/H\u221econtrol":[4],"problem":[5],"for":[6,45],"nonlinear":[7],"stochastic":[8],"system":[9],"governed":[10],"by":[11],"It\u00f4":[12],"differential":[13,69],"equation":[14],"with":[15],"multiple":[16],"decision":[17],"makers":[18],"is":[19,57,80],"investigated.":[20],"A":[21,82],"Nash":[22],"game":[23],"approach":[24],"plays":[25],"an":[26],"important":[27],"role":[28],"in":[29],"establishing":[30],"a":[31,64],"strategy":[32],"set.":[33],"After":[34],"defining":[35],"the":[36,46,61,90,95],"equilibrium":[37],"strategies,":[38],"cross-coupled":[39],"Hamilton-Jacobi-Bellman":[40],"equations":[41],"(HJBEs)":[42],"are":[43,86],"developed":[44],"first":[47],"time.":[48],"order":[50],"to":[51,59,63,88],"solve":[52],"these":[53],"equations,":[54],"successive":[55],"approximation":[56],"adapted":[58],"reduce":[60],"HJBE":[62],"sequence":[65],"of":[66,94],"linear":[67],"partial":[68],"equations.":[70],"addition,":[72],"Galerkin":[73],"spectral":[74],"method":[75],"based":[76],"on":[77],"Chebyshev":[78],"polynomials":[79],"combined.":[81],"simple":[83],"numerical":[84],"example":[85],"given":[87],"show":[89],"validity":[91],"and":[92],"potential":[93],"proposed":[96],"method.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}