{"title":"On Numerical Solution of Differential Games in Classes of Mixed Strategies","authors":"D. Kornev, N. Lukoyanov","doi":"10.3182/20140824-6-ZA-1003.02208","DOIUrl":null,"url":null,"abstract":"Abstract A zero-sum linear-convex differential game with a quality index that estimates a set of deviations of a motion trajectory at given instants of time from given target points is considered. A case when the saddle point condition in a small game, also known as Isaac's condition, does not hold is studied. The game is posed in classes of mixed control strategies of players. A numerical method for computing the game value and optimal strategies is elaborated. Results of numerical experiments in model examples are given.","PeriodicalId":13260,"journal":{"name":"IFAC Proceedings Volumes","volume":"8 1","pages":"1550-1555"},"PeriodicalIF":0.0000,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC Proceedings Volumes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3182/20140824-6-ZA-1003.02208","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Abstract A zero-sum linear-convex differential game with a quality index that estimates a set of deviations of a motion trajectory at given instants of time from given target points is considered. A case when the saddle point condition in a small game, also known as Isaac's condition, does not hold is studied. The game is posed in classes of mixed control strategies of players. A numerical method for computing the game value and optimal strategies is elaborated. Results of numerical experiments in model examples are given.
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