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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2021, Volume 58, Pages 73–93
DOI: https://doi.org/10.35634/2226-3594-2021-58-05 (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
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DOI: https://doi.org/10.35634/2226-3594-2021-58-05
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00928-21-01, проект FEWS-2020-0010
This research was funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of state assignment No. 075-00928-21-01, project FEWS-2020-0010.
Received: 13.07.2021
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37B65, 37E05
Language: Russian
Citation: V. N. Ushakov, A. V. Ushakov, O. A. Kuvshinov, “On the construction of resolving control in the problem of getting close at a fixed time moment”, Izv. IMI UdGU, 58 (2021), 73–93
Citation in format AMSBIB
\Bibitem{UshUshKuv21}
\by V.~N.~Ushakov, A.~V.~Ushakov, O.~A.~Kuvshinov
\paper On the construction of resolving control in the problem of getting close at a fixed time moment
\jour Izv. IMI UdGU
\yr 2021
\vol 58
\pages 73--93
\mathnet{http://mi.mathnet.ru/iimi422}
\crossref{https://doi.org/10.35634/2226-3594-2021-58-05}
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