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Stability Defect Estimation for Sets in a Game Approach Problem at a Fixed Moment of Time

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Abstract

The game problem of a control system approaching a target set at a fixed point in time is studied. The stability defect of a set in the position space that is weakly invariant with respect to a finite set of unification differential inclusions is estimated from below.

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Funding

This work was supported by the Russian Science Foundation, project no. 19-11-00105.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, 620990, Yekaterinburg, Russia

    V. N. Ushakov & A. G. Malev

  2. Ural Federal University, 620002, Yekaterinburg, Russia

    V. N. Ushakov

Authors
  1. V. N. Ushakov
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  2. A. G. Malev
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Corresponding authors

Correspondence to V. N. Ushakov or A. G. Malev.

Additional information

Translated by I. Ruzanova

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Ushakov, V.N., Malev, A.G. Stability Defect Estimation for Sets in a Game Approach Problem at a Fixed Moment of Time. Dokl. Math. 100, 533–537 (2019). https://doi.org/10.1134/S1064562419060085

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  • DOI: https://doi.org/10.1134/S1064562419060085

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