Abstract

The optimal control problem of the random-jump structure of an object under counteraction conditions is considered. The counteracting parties observe any changes in the object’s structure using special indicators that operate with errors. The optimality criterion of the controls is a certain functional of the object’s state. One of the opponents seeks to minimize this criterion, whereas the other seeks to maximize. The players control the object’s structure in the class of pure strategies by applying a finite number of admissible strategies. The optimal controls are found in the class of deterministic dependences on the results of observations preceding the current time instant. As an illustrative example, the optimal control of the object’s structure with two states is obtained using the design methods of the theory of systems with a random jump structure (RJS) in the game-theoretic formulation.

中文翻译：

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纯策略类对象随机跳跃结构的博弈论控制

摘要

考虑了相互作用条件下目标随机跳跃结构的最优控制问题。对抗方使用会出错的特殊指示器来观察对象结构的任何变化。控制的最佳标准是对象状态的某种功能。反对者之一试图使这一标准最小化，而另一者则寻求最大化。玩家通过应用有限数量的可允许策略来控制纯策略类中对象的结构。在对当前时间之前的观测结果的确定性依赖关系中，找到了最佳控制。作为示例，