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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2020, Volume 56, Pages 79–101
DOI: https://doi.org/10.35634/2226-3594-2020-56-07 (Mi iimi404) 		 
MATHEMATICS

On targeting an integral funnel of control system at a target set in the phase space

V. N. Ushakova, A. V. Ushakovba

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620219, Russia
b Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
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DOI: https://doi.org/10.35634/2226-3594-2020-56-07
Abstract: A control system in finite-dimensional Euclidean space is considered. On a given time interval, we investigate the problem of constructing an integral funnel for which a section corresponding to the last time moment of interval is equal to a target set in a phase space. Since the exact solution of such a funnel is possible only in rare cases, the question of the approximate construction of an integral funnel is being studied.
The research was performed using computing resources of the collective use center of IMM UB RAS “Supercomputer center of IMM UB RAS”.
Keywords: control, control system, differential inclusion, target set, phase space, approximating system.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00232-20-01 (проект 0827-2020-0010)
The research was funded by the Ministry of Science and Higher Education of Russian Federation in the framework of state assignment no. 075-00232-20-01, project 0827-2020-0010 “Development of the theory and methods of control and stabilization of dynamical systems”.
Received: 01.09.2020
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37B65, 37E05
Language: Russian
Citation: V. N. Ushakov, A. V. Ushakov, “On targeting an integral funnel of control system at a target set in the phase space”, Izv. IMI UdGU, 56 (2020), 79–101
Citation in format AMSBIB
\Bibitem{UshUsh20}
\by V.~N.~Ushakov, A.~V.~Ushakov
\paper On targeting an integral funnel of control system at a target set in the phase space
\jour Izv. IMI UdGU
\yr 2020
\vol 56
\pages 79--101
\mathnet{http://mi.mathnet.ru/iimi404}
\crossref{https://doi.org/10.35634/2226-3594-2020-56-07}
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