{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T09:16:00Z","timestamp":1762161360353},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2018,6]]},"abstract":"<jats:p> [Formula: see text] constraint Pareto optimal strategy for stochastic linear parameter varying (LPV) systems with multiple decision makers is investigated. The modified stochastic bounded real lemma and linear quadratic control (LQC) for the stochastic LPV systems are reformulated by means of linear matrix inequalities (LMIs). In order to decide the strategy set of multiple decision makers, Pareto optimal strategy is considered for each player and the [Formula: see text] constraint is imposed. The solvability conditions of the problem are established from cross-coupled matrix inequalities (CCMIs). The efficiency of the proposed strategy set is demonstrated using a numerical example. <\/jats:p>","DOI":"10.1142\/s0219198917500311","type":"journal-article","created":{"date-parts":[[2017,12,11]],"date-time":"2017-12-11T03:49:48Z","timestamp":1512964188000},"page":"1750031","source":"Crossref","is-referenced-by-count":15,"title":["H\u221e Constraint Pareto Optimal Strategy for Stochastic LPV Systems"],"prefix":"10.1142","volume":"20","author":[{"given":"Mostak","family":"Ahmed","sequence":"first","affiliation":[{"name":"Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan"},{"name":"Department of Mathematics, Jagannath University, Dhaka 1100, Bangladesh"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hiroaki","family":"Mukaidani","sequence":"additional","affiliation":[{"name":"Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tadashi","family":"Shima","sequence":"additional","affiliation":[{"name":"Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,6,10]]},"reference":[{"key":"S0219198917500311BIB001","doi-asserted-by":"publisher","DOI":"10.1137\/090762464"},{"key":"S0219198917500311BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00038-X"},{"key":"S0219198917500311BIB003","doi-asserted-by":"publisher","DOI":"10.1515\/9781400881970-006"},{"key":"S0219198917500311BIB004","volume-title":"Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach","author":"Basar T.","year":"1995"},{"key":"S0219198917500311BIB005","series-title":"SIAM Series in Classics in Applied Mathematics","volume-title":"Dynamic Noncooperative Game Theory","author":"Basar T.","year":"1999"},{"key":"S0219198917500311BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2003.821400"},{"key":"S0219198917500311BIB007","volume-title":"LQ Dynamic Optimization and Differential Games","author":"Engwerda J. C.","year":"2005"},{"key":"S0219198917500311BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2007.07.001"},{"key":"S0219198917500311BIB009","doi-asserted-by":"publisher","DOI":"10.1115\/1.4031059"},{"key":"S0219198917500311BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(02)00017-3"},{"key":"S0219198917500311BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.03.013"},{"key":"S0219198917500311BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/9.863597"},{"key":"S0219198917500311BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.09.023"},{"key":"S0219198917500311BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2008.921024"}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198917500311","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:29:13Z","timestamp":1565119753000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219198917500311"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6]]},"references-count":14,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2018,6,10]]},"published-print":{"date-parts":[[2018,6]]}},"alternative-id":["10.1142\/S0219198917500311"],"URL":"https:\/\/doi.org\/10.1142\/s0219198917500311","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"value":"0219-1989","type":"print"},{"value":"1793-6675","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6]]}}}