{"id":"https://openalex.org/W4376456956","doi":"https://doi.org/10.1109/tac.2023.3274863","title":"Stochastic Adaptive Linear Quadratic Differential Games","display_name":"Stochastic Adaptive Linear Quadratic Differential Games","publication_year":2023,"publication_date":"2023-05-11","ids":{"openalex":"https://openalex.org/W4376456956","doi":"https://doi.org/10.1109/tac.2023.3274863"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3274863","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3274863","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102779356","display_name":"Nian Liu","orcid":"https://orcid.org/0000-0002-2093-5394"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nian Liu","raw_affiliation_strings":["Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2093-5394","affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115601874","display_name":"Lei Guo","orcid":"https://orcid.org/0000-0003-1789-5202"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Guo","raw_affiliation_strings":["Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-1789-5202","affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6484,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.95072642,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":"2","first_page":"1066","last_page":"1073"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9677000045776367,"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/T10646","display_name":"Experimental Behavioral Economics Studies","score":0.9488000273704529,"subfield":{"id":"https://openalex.org/subfields/3311","display_name":"Safety Research"},"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/nash-equilibrium","display_name":"Nash equilibrium","score":0.6057575941085815},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.590258002281189},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5583321452140808},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5165249705314636},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5120778679847717},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5004565715789795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48448774218559265},{"id":"https://openalex.org/keywords/repeated-game","display_name":"Repeated game","score":0.4791121482849121},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4755943715572357},{"id":"https://openalex.org/keywords/zero-sum-game","display_name":"Zero-sum game","score":0.4433189332485199},{"id":"https://openalex.org/keywords/adaptive-strategies","display_name":"Adaptive strategies","score":0.43028926849365234},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.35470372438430786},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15244802832603455},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10919815301895142}],"concepts":[{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6057575941085815},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.590258002281189},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5583321452140808},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5165249705314636},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5120778679847717},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5004565715789795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48448774218559265},{"id":"https://openalex.org/C202556891","wikidata":"https://www.wikidata.org/wiki/Q1584646","display_name":"Repeated game","level":3,"score":0.4791121482849121},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4755943715572357},{"id":"https://openalex.org/C136356330","wikidata":"https://www.wikidata.org/wiki/Q156612","display_name":"Zero-sum game","level":3,"score":0.4433189332485199},{"id":"https://openalex.org/C167393769","wikidata":"https://www.wikidata.org/wiki/Q4680768","display_name":"Adaptive strategies","level":2,"score":0.43028926849365234},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.35470372438430786},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15244802832603455},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10919815301895142},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3274863","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3274863","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8533620077","display_name":null,"funder_award_id":"12288201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1415442047","https://openalex.org/W1505725179","https://openalex.org/W1538772053","https://openalex.org/W1594802219","https://openalex.org/W1964471992","https://openalex.org/W1997496980","https://openalex.org/W2055300044","https://openalex.org/W2055504162","https://openalex.org/W2062789470","https://openalex.org/W2095197399","https://openalex.org/W2137850460","https://openalex.org/W2139416664","https://openalex.org/W2166074282","https://openalex.org/W2316823327","https://openalex.org/W2503023465","https://openalex.org/W2552136414","https://openalex.org/W2727450595","https://openalex.org/W2807176303","https://openalex.org/W2899296819","https://openalex.org/W2984078320","https://openalex.org/W3028094705","https://openalex.org/W3087896133","https://openalex.org/W4231011685","https://openalex.org/W4236704490","https://openalex.org/W4389775604","https://openalex.org/W6762982123","https://openalex.org/W6770404689"],"related_works":["https://openalex.org/W3035072031","https://openalex.org/W3011680666","https://openalex.org/W3136378956","https://openalex.org/W4283371013","https://openalex.org/W3006995042","https://openalex.org/W4287871712","https://openalex.org/W3028528379","https://openalex.org/W2800356679","https://openalex.org/W3004964213","https://openalex.org/W1987479130"],"abstract_inverted_index":{"Game":[0],"theory":[1,103],"is":[2,61,141],"playing":[3],"more":[4,6],"and":[5,13,58,77,120,153],"important":[7],"roles":[8],"in":[9,14,36,83,134],"understanding":[10],"complex":[11],"systems":[12,49,148],"investigating":[15],"intelligent":[16],"machines":[17],"with":[18],"various":[19],"uncertainties.":[20],"As":[21],"a":[22,91,102],"starting":[23],"point,":[24],"we":[25,98],"consider":[26],"the":[27,41,44,48,68,84,116,121,127,135,144,156],"classical":[28],"two-player":[29],"zero-sum":[30],"linear-quadratic":[31],"stochastic":[32],"differential":[33],"games,":[34,97],"but":[35],"contrast":[37],"to":[38,52,55,63],"most":[39],"of":[40,47,67],"existing":[42],"studies,":[43],"coefficient":[45],"matrices":[46],"are":[50,111],"assumed":[51],"be":[53,72,105,150],"unknown":[54],"both":[56,115],"players,":[57,69],"consequently":[59],"it":[60,140],"necessary":[62],"study":[64],"adaptive":[65,75,96,108,146],"strategies":[66,109],"which":[70,78],"may":[71],"termed":[73],"as":[74,132],"games":[76],"has":[79],"rarely":[80],"been":[81],"explored":[82],"literature.":[85],"In":[86],"this":[87],"article,":[88],"by":[89],"introducing":[90],"suitable":[92],"information":[93],"structure":[94,130],"for":[95],"will":[99,149],"show":[100],"that":[101,110,143],"can":[104],"established":[106],"on":[107,114],"designed":[112],"based":[113],"certainty":[117],"equivalence":[118],"principle":[119],"diminishing":[122],"excitation":[123],"technique.":[124],"Under":[125],"almost":[126],"same":[128],"physical":[129],"conditions":[131],"those":[133],"traditional":[136],"known":[137],"parameters":[138],"case,":[139],"shown":[142],"closed-loop":[145],"game":[147],"globally":[151],"stable":[152],"asymptotically":[154],"reach":[155],"Nash":[157],"equilibrium.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}