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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 230, Pages 25–40
DOI: https://doi.org/10.36535/0233-6723-2023-230-25-40 (Mi into1242) 		 
Optimal boundary control for a distributed inhomogeneous oscillatory system with given intermediate conditions

V. R. Barseghyana, S. V. Solodushab

a Institute of Mechanics, National Academy of Sciences of Armenia
b L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk
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DOI: https://doi.org/10.36535/0233-6723-2023-230-25-40
Abstract: In this paper, we develop a constructive approach to the problem of optimal boundary control for a distributed inhomogeneous oscillatory system whose dynamics is modeled by a one-dimensional wave equation with piecewise constant characteristics. Using the approach proposed, one may satisfy multi-point intermediate conditions. The results obtained are illustrated by a specific example.
Keywords: oscillations, optimal control, inhomogeneous process, wave equation, separation of variables
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWEU-2021-0006, тема No. AAAA-A21-121012090034-3
The work of S. V. Solodusha was supported by the Ministry of Science and Higher Education of the Russian Federation (project FWEU-2021-0006, topic No. AAAA-A21-121012090034-3).
Document Type: Article
UDC: 517.977: 534.112
MSC: 93C95, 70Q05
Language: Russian
Citation: V. R. Barseghyan, S. V. Solodusha, “Optimal boundary control for a distributed inhomogeneous oscillatory system with given intermediate conditions”, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 230, VINITI, Moscow, 2023, 25–40
Citation in format AMSBIB
\Bibitem{BarSol23}
\by V.~R.~Barseghyan, S.~V.~Solodusha
\paper Optimal boundary control for a distributed inhomogeneous oscillatory system with given intermediate conditions
\inbook Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 230
\pages 25--40
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1242}
\crossref{https://doi.org/10.36535/0233-6723-2023-230-25-40}
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