{"id":"https://openalex.org/W2167629424","doi":"https://doi.org/10.1109/acc.2006.1656468","title":"Guaranteed cost strategies of uncertain LQ closed-loop differential games with multiple players","display_name":"Guaranteed cost strategies of uncertain LQ closed-loop differential games with multiple players","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2167629424","doi":"https://doi.org/10.1109/acc.2006.1656468","mag":"2167629424"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2006.1656468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1656468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","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/A5081906408","display_name":"Xiaohong Nian","orcid":"https://orcid.org/0000-0002-4678-4643"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohong Nian","raw_affiliation_strings":["School of Information Science & Engineering, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science & Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037855644","display_name":"Shengyue Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengyue Yang","raw_affiliation_strings":["School of Information Science & Engineering, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science & Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100446686","display_name":"Ning Chen","orcid":"https://orcid.org/0000-0001-8384-2948"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Chen","raw_affiliation_strings":["School of Information Science & Engineering, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science & Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":null,"first_page":"6 pp.","last_page":"6 pp."},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9970999956130981,"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/T12158","display_name":"Guidance and Control Systems","score":0.9934999942779541,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.7087969183921814},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6693920493125916},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5226835608482361},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5173603892326355},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5040411353111267},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4574394226074219},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.42767566442489624},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42530032992362976},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.42141252756118774},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.4190465211868286},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.390383243560791},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.33435508608818054},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.19472616910934448},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12684565782546997},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06998464465141296}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.7087969183921814},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6693920493125916},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5226835608482361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5173603892326355},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5040411353111267},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4574394226074219},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.42767566442489624},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42530032992362976},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.42141252756118774},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.4190465211868286},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.390383243560791},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.33435508608818054},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.19472616910934448},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12684565782546997},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06998464465141296},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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":1,"locations":[{"id":"doi:10.1109/acc.2006.1656468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1656468","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1494916718","https://openalex.org/W1496845253","https://openalex.org/W1947506120","https://openalex.org/W2030651021","https://openalex.org/W2041209896","https://openalex.org/W2055300044","https://openalex.org/W2062697270","https://openalex.org/W2075093452","https://openalex.org/W2075534066","https://openalex.org/W2084901273","https://openalex.org/W2104350800","https://openalex.org/W2125256511","https://openalex.org/W2128008927","https://openalex.org/W2143799071","https://openalex.org/W2165060512","https://openalex.org/W2888914392","https://openalex.org/W3202981573","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W4287869118","https://openalex.org/W3005585050","https://openalex.org/W2482034469","https://openalex.org/W1984343254","https://openalex.org/W3126195429","https://openalex.org/W2048648086","https://openalex.org/W2354473585","https://openalex.org/W4256290860","https://openalex.org/W2030449225","https://openalex.org/W3153752017"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,76],"the":[4,31,47,50,62,92,99,103,123],"problem":[5,63,75],"of":[6,16,49,64,85,102,115],"designing":[7,65],"guaranteed":[8,51,67,94,100],"cost":[9,52,68,95,101],"state":[10,32],"feedback":[11],"strategies":[12,53,69,96],"for":[13,46,54],"a":[14,38,83],"class":[15],"multiple":[17],"players":[18],"nonzero-sum":[19],"linear":[20],"quadratic":[21],"differential":[22,57,106],"games":[23,58,107],"where":[24],"each":[25],"player":[26],"does":[27],"not":[28],"know":[29],"exactly":[30],"equation":[33],"and":[34,90,108],"model":[35],"it":[36],"through":[37],"system":[39],"subject":[40],"to":[41,81,121],"norm-bounded":[42],"uncertainties.":[43],"Sufficient":[44],"conditions":[45],"existence":[48],"uncertain":[55],"LQ":[56,105],"are":[59],"presented.":[60],"Furthermore,":[61],"suboptimal":[66,93],"is":[70,79,119],"considered.":[71],"A":[72],"non-convex":[73],"optimization":[74],"BMI":[77],"constraints":[78],"formulated":[80],"solve":[82,110],"coupled":[84],"algebraic":[86],"Riccati":[87],"inequalities":[88],"(ARI)":[89],"design":[91],"which":[97],"minimizes":[98],"closed-loop":[104],"can":[109],"by":[111],"using":[112],"LMI":[113],"Toolbox":[114],"MATLAB.":[116],"An":[117],"example":[118],"given":[120],"illustrate":[122],"proposed":[124],"results.":[125]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}