{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T23:03:45Z","timestamp":1648767825727},"reference-count":7,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2018,3]]},"abstract":"<jats:p> A differential game approach for the finite-horizon stochastic control problem with an [Formula: see text]-constraint is considered for a class of large-scale linear systems. First, necessary conditions for the existence of a control strategy set are established by means of cross-coupled stochastic Riccati differential equations (CSRDEs). Second, an efficient design method to obtain a reduced-order parameter-independent approximate strategy set is proposed. Moreover, the performance degradation is estimated. Infinite-horizon case is also discussed. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design scheme. <\/jats:p>","DOI":"10.1142\/s0219198917500256","type":"journal-article","created":{"date-parts":[[2017,9,22]],"date-time":"2017-09-22T02:12:45Z","timestamp":1506046365000},"page":"1750025","source":"Crossref","is-referenced-by-count":0,"title":["Differential Games for Weakly Coupled Large-Scale Linear Stochastic Systems with an H\u221e-Constraint"],"prefix":"10.1142","volume":"20","author":[{"given":"Hiroaki","family":"Mukaidani","sequence":"first","affiliation":[{"name":"Academy of Hiroshima University, Division of Science and Technology, Informatics Unit, Appointment: Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, 739-8527, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hua","family":"Xu","sequence":"additional","affiliation":[{"name":"Graduate School of Business Sciences, The University of Tsukuba, 3-29-1, Otsuka, Bunkyo-ku, Tokyo, 112-0012, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,3,25]]},"reference":[{"key":"S0219198917500256BIB001","series-title":"SIAM Series in Classics in Applied Mathematics","volume-title":"Dynamic Noncooperative Game Theory","author":"Basar T.","year":"1999"},{"key":"S0219198917500256BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.821400"},{"key":"S0219198917500256BIB004","doi-asserted-by":"publisher","DOI":"10.1201\/b15929"},{"key":"S0219198917500256BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF01192258"},{"key":"S0219198917500256BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.12.020"},{"key":"S0219198917500256BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.921024"},{"key":"S0219198917500256BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.05.025"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198917500256","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:32:39Z","timestamp":1565105559000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198917500256"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3]]},"references-count":7,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2018,3,25]]},"published-print":{"date-parts":[[2018,3]]}},"alternative-id":["10.1142\/S0219198917500256"],"URL":"https:\/\/doi.org\/10.1142\/s0219198917500256","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3]]}}}