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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2023, Volume 15, Issue 2, Pages 122–139
(Mi mgta327)
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Game Problem of Target Approach for Nonlinear Control System
Vladimir N. Ushakov, Alexander M. Tarasyev N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of RAS
Abstract:
The paper deals with the game problem of approach of a nonlinear control system with a target set at a fixed terminal time. The key property of stability and stable bridges is investigated in the posed positional differential game. The scheme for approximate calculation of the maximum $u$-stable bridge is proposed in the target approach problem, and the correctness of the construction is justified.
Keywords:
control system, differential inclusion, game problem of target approach, $u$-stable bridge, $u$-stable path, fixed terminal time, approximating system of sets.
Received: 17.04.2023 Revised: 01.05.2023 Accepted: 15.05.2023
Citation:
Vladimir N. Ushakov, Alexander M. Tarasyev, “Game Problem of Target Approach for Nonlinear Control System”, Mat. Teor. Igr Pril., 15:2 (2023), 122–139
Linking options:
https://www.mathnet.ru/eng/mgta327 https://www.mathnet.ru/eng/mgta/v15/i2/p122
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