{"id":"https://openalex.org/W2036266115","doi":"https://doi.org/10.1109/cdc.2013.6760045","title":"Nash strategy for Markov jump stochastic delay systems","display_name":"Nash strategy for Markov jump stochastic delay systems","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2036266115","doi":"https://doi.org/10.1109/cdc.2013.6760045","mag":"2036266115"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760045","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760045","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/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":"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091487044","display_name":"Masaru Unno","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Masaru Unno","raw_affiliation_strings":["NTT FINANCE CORPORATION, Tokyo, Japan","NTT FINANCE Corp., Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTT FINANCE CORPORATION, Tokyo, Japan","institution_ids":[]},{"raw_affiliation_string":"NTT FINANCE Corp., Tokyo, Japan","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070300491","display_name":"Toru Yamamoto","orcid":"https://orcid.org/0000-0001-6500-8394"},"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":"Toru Yamamoto","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"]}]},{"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, The University of Tsukuba, Bunkyo-ku, Tokyo, Japan","Grad. Sch. of Bus. Sci., Univ. of Tsukuba, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Business Sciences, The University of Tsukuba, Bunkyo-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Grad. Sch. of Bus. Sci., Univ. of Tsukuba, Tokyo, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.018,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80746775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1198","last_page":"1203"},"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":0.9988999962806702,"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":0.9988999962806702,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9987999796867371,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.996999979019165,"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/karush\u2013kuhn\u2013tucker-conditions","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","score":0.7826850414276123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5387945771217346},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5218309760093689},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5125594139099121},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.511413037776947},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5030571818351746},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4977250397205353},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44509491324424744},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.43823620676994324},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4242435693740845},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40142035484313965},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3968910574913025},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3521876633167267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33236777782440186},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.26803112030029297},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10310393571853638}],"concepts":[{"id":"https://openalex.org/C50454189","wikidata":"https://www.wikidata.org/wiki/Q2075125","display_name":"Karush\u2013Kuhn\u2013Tucker conditions","level":2,"score":0.7826850414276123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5387945771217346},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5218309760093689},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5125594139099121},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.511413037776947},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5030571818351746},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4977250397205353},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44509491324424744},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.43823620676994324},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4242435693740845},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40142035484313965},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3968910574913025},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3521876633167267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33236777782440186},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.26803112030029297},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10310393571853638},{"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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760045","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760045","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W173536089","https://openalex.org/W394334121","https://openalex.org/W415869901","https://openalex.org/W1495711302","https://openalex.org/W1530564675","https://openalex.org/W1593496074","https://openalex.org/W1594802219","https://openalex.org/W1766891807","https://openalex.org/W1963667946","https://openalex.org/W1999493126","https://openalex.org/W2003043051","https://openalex.org/W2009279254","https://openalex.org/W2018465411","https://openalex.org/W2071296348","https://openalex.org/W2075475873","https://openalex.org/W2083029658","https://openalex.org/W2096532237","https://openalex.org/W2108279899","https://openalex.org/W2134860205","https://openalex.org/W2167378329","https://openalex.org/W2298930898","https://openalex.org/W2313367051","https://openalex.org/W3124071626","https://openalex.org/W4250589301","https://openalex.org/W6655062573","https://openalex.org/W6698575633"],"related_works":["https://openalex.org/W3195000156","https://openalex.org/W2112045043","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W2089102366","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W2347536774"],"abstract_inverted_index":{"Nash":[0],"games":[1],"for":[2],"a":[3,17,22,27,30,44,81],"class":[4],"of":[5,35,90],"linear":[6,75],"time-delay":[7],"system":[8],"with":[9],"Markovian":[10],"jumping":[11],"parameters":[12],"are":[13,54],"investigated.":[14],"By":[15],"using":[16],"classical":[18],"Lyapunov-Krasovskii":[19],"method":[20],"and":[21],"non-convex":[23],"optimization":[24],"approach":[25],"as":[26],"sufficient":[28],"condition,":[29],"strategy":[31,45],"set":[32,46],"in":[33],"terms":[34],"matrix":[36,76],"inequality":[37],"is":[38,63,84],"established.":[39],"In":[40],"order":[41],"to":[42],"obtain":[43],"numerically,":[47],"new":[48],"cross-coupled":[49],"stochastic":[50],"algebraic":[51],"equations":[52],"(CSAEs)":[53],"given":[55],"based":[56],"on":[57],"Karush-Kuhn-Tucker":[58],"(KKT)":[59],"conditions.":[60],"Furthermore,":[61],"it":[62],"shown":[64],"that":[65,86],"the":[66,88,91],"state":[67],"feedback":[68],"strategies":[69],"can":[70],"be":[71],"obtained":[72],"by":[73],"solving":[74],"inequalities":[77],"(LMIs)":[78],"iteratively.":[79],"Finally,":[80],"numerical":[82],"example":[83],"detailed":[85],"shows":[87],"effectiveness":[89],"proposed":[92],"methods.":[93]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
