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Chebyshevskii Sbornik, 2020, Volume 21, Issue 2, Pages 144–158
DOI: https://doi.org/10.22405/2226-8383-2018-21-2-144-158 (Mi cheb901) 		 
Optimal feedback control for one motion model of a nonlinearly viscous fluid

V. G. Zvyagina, A. V. Zvyaginb, N. M. Hongc

a Voronezh State University (Voronezh)
b Voronezh State Pedagogical University (Voronezh)
c Research Institute of Mathematics, Voronezh State University (Voronezh)
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DOI: https://doi.org/10.22405/2226-8383-2018-21-2-144-158
Abstract: An optimal control problem with a feedback is considered for an initial boundary problem describing a motion of non-linearly viscous liquid. An existence of an optimal solution minimising a given quality functional is proved. A topological approximation approach to study of mathematical problems of hydrodynamics is used in the proof of existence of an optimal solution.
Keywords: optimal control with feedback, existence theorem, nonlinearly viscous fluid.
Funding agency Grant number
Russian Science Foundation 19-11-00146
Russian Foundation for Basic Research 20-01-00051
19-31-60014
Received: 01.03.2020
Accepted: 11.03.2020
Document Type: Article
UDC: 517.977.57; 517.958
Language: Russian
Citation: V. G. Zvyagin, A. V. Zvyagin, N. M. Hong, “Optimal feedback control for one motion model of a nonlinearly viscous fluid”, Chebyshevskii Sb., 21:2 (2020), 144–158
Citation in format AMSBIB
\Bibitem{ZvyZvyHon20}
\by V.~G.~Zvyagin, A.~V.~Zvyagin, N.~M.~Hong
\paper Optimal feedback control for one motion model of a nonlinearly viscous fluid
\jour Chebyshevskii Sb.
\yr 2020
\vol 21
\issue 2
\pages 144--158
\mathnet{http://mi.mathnet.ru/cheb901}
\crossref{https://doi.org/10.22405/2226-8383-2018-21-2-144-158}
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