Formation of Positional Strategies for a Differential Game in Krasovskii's Method of Extremal Aiming

S. S. Lemak

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Formation of Positional Strategies for a Differential Game in Krasovskii's Method of Extremal Aiming

机译：克拉索夫斯基极端瞄准方法中微分游戏的定位策略的形成

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The problem of estimating the accuracy of control algorithms for a linear system on a finite time interval in the presence of initial and time-varying perturbations is considered from the standpoint of maximin testing methods. A method of forming the positional strategies of testing based on a modification of Krasovskii's method of extremal aiming is proposed. It is shown by an example that the convex reachable set of a control system has a multiextremal support function.

机译：从极大值测试方法的角度考虑了在有限的时间间隔内存在初始和时变扰动的情况下估计线性系统控制算法精度的问题。提出了一种基于克拉索夫斯基极值瞄准方法的改进方法来形成测试定位策略的方法。通过示例显示，控制系统的凸可达集具有多极支持功能。

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《Moscow University Mechanics Bulletin》 |2015年第6期|157-160|共4页
作者
S. S. Lemak;
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Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

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Formation of Positional Strategies for a Differential Game in Krasovskii's Method of Extremal Aiming

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