On a minimax control problem for a positional functional under geometric and integral constraints on control actions

被引：0
|
作者：
D. V. Kornev
N. Yu. Lukoyanov
机构：
[1] Ural Branch of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics
[2] Ural Federal University,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2016年 / 293卷
关键词：
minimax control; differential games; integral constraints; nonterminal payoff;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Within the game-theoretical approach, we consider a minimax feedback control problem for a linear dynamical system with a positional quality index, which is the norm of the deviation of the motion from given target points at given times. Control actions are subject to both geometric and integral constraints. A procedure for the approximate calculation of the optimal guaranteed result and for the construction of a control law that ensures the result is developed. The procedure is based on the recursive construction of upper convex hulls of auxiliary program functions. Results of numerical simulations are presented.
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页码：85 / 100
页数：15
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