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来源类型Article
规范类型其他
DOI10.1134/S0081543812040098
Nonlinear positional differential game in the class of mixed strategies.
Krasovskii AN
发表日期2012
出处Proceedings of the Steklov Institute of Mathematics 277 (1): 137-143
出版年2012
语种英语
摘要The feedback control problem is considered for a nonlinear dynamic system under lack of information on disturbances. The problem on minmax-maxmin of the guaranteed result for a given positional quality index is formalized as an antagonistic two-player differential game in the framework of the concept developed in the Sverdlovsk (now Yekaterinburg) school on the theory of differential games. The problem is solved in the class of mixed strategies. The existence of the value of the game and a saddle point is established. The solution to the problem is based on the application of appropriate leader models, the method of extremal shift to the accompanying points and the method of upper convex hulls. The results of the study are applied to a realistic control model. The simulation outputs are presented.
主题Advanced Systems Analysis (ASA)
URLhttp://pure.iiasa.ac.at/id/eprint/9885/
来源智库International Institute for Applied Systems Analysis (Austria)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/129492
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GB/T 7714
Krasovskii AN. Nonlinear positional differential game in the class of mixed strategies.. 2012.
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