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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 1, Pages 74–84
DOI: https://doi.org/10.31857/S0044466922120031 (Mi zvmmf11497) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Optimal control

Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times

V. R. Barseghyanab

a Institute of Mechanics, Academy of Sciences of Armenia, 0019, Yerevan, Armenia
b Yerevan State University, 0025, Yerevan, Armenia
Citations (3)
DOI: https://doi.org/10.31857/S0044466922120031
Abstract: The problem of optimal boundary control of a distributed heterogeneous vibrating system governed by the one-dimensional wave equation with piecewise constant characteristics is considered. It is assumed that each homogeneous segment is traveled by a wave over the same time. The control is performed via displacements of both ends. The cost functional is specified on the whole time interval. A constructive approach is proposed for finding an optimal control function that transfers the vibrations from an initial state through multipoint intermediate states to a terminal state over a given time interval. The results are illustrated by an example.
Key words: optimal control of vibrations, optimal boundary control, heterogeneous vibration process, wave equation, piecewise constant characteristics, separation of variables.
Received: 25.03.2022
Revised: 16.05.2022
Accepted: 07.07.2022
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 12, Pages 2023–2032
DOI: https://doi.org/10.1134/S096554252212003X
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. R. Barseghyan, “Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times”, Zh. Vychisl. Mat. Mat. Fiz., 63:1 (2023), 74–84; Comput. Math. Math. Phys., 62:12 (2022), 2023–2032
Citation in format AMSBIB
\Bibitem{Bar23}
\by V.~R.~Barseghyan
\paper Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 1
\pages 74--84
\mathnet{http://mi.mathnet.ru/zvmmf11497}
\crossref{https://doi.org/10.31857/S0044466922120031}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4531779}
\elib{https://elibrary.ru/item.asp?id=50404569}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 12
\pages 2023--2032
\crossref{https://doi.org/10.1134/S096554252212003X}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i1/p74
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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