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JOURNALS // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta // Archive

Izv. IMI UdGU, 2021 Volume 58, Pages 73–93 (Mi iimi422)

MATHEMATICS

On the construction of resolving control in the problem of getting close at a fixed time moment

V. N. Ushakov, A. V. Ushakov, O. A. Kuvshinov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620219, Russia

Abstract: The problem of getting close of a controlled system with a compact space in a finite-dimensional Euclidean space at a fixed time is studied. A method of constructing a solution to the problem is proposed which is based on the ideology of the maximum shift of the motion of the controlled system by the solvability set of the getting close problem.

Keywords: control, controlled system, getting close problem, reachable set, integral funnel, dual controlled system.

UDC: 517.938

MSC: 37B65, 37E05

Received: 13.07.2021

DOI: 10.35634/2226-3594-2021-58-05



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