Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming |
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Authors: | S. S. Lemak |
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Affiliation: | 1.Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory,Moscow,Russia |
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Abstract: | 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. |
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