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Russian Universities Reports. Mathematics, 2020, Volume 25, Issue 130, Pages 131–146
DOI: https://doi.org/10.20310/2686-9667-2020-25-130-131-146 (Mi vtamu176) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Scientific articles

The problem of boundary control of string vibrations by displacement of the left end when the right end is fixed with the given values of the deflection function at intermediate times

V. R. Barseghyanab, S. V. Solodushac

a Yerevan State University
b Institute of Mechanics NAS RA
c Melentiev Energy Systems Institute SB RAS
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DOI: https://doi.org/10.20310/2686-9667-2020-25-130-131-146
Abstract: We consider the boundary control problem for the homogeneous string vibration equation with given the classical boundary (initial and final) conditions and with given values of the deflection function at intermediate times. The control is performed by displacement of the left end of the string when the right end is fixed. The problem is reduced to the control problem with zero boundary conditions. We propose the constructive method for constructing the boundary control of the process of string vibrations with given values of the deflection function at intermediate times.We present the results of numerical experiments and the corresponding graphs confirm the validity of the results.
Keywords: string vibrations, vibration control, boundary control, intermediate state control, separation of variables.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences АААА-А17-117030310442-8
The research is partly supported by the Fundamental Research of Siberian Branch of the Russian Academy of Sciences (reg. no. AAAA-A17-117030310442-8).
Received: 07.04.2020
Bibliographic databases:
Document Type: Article
UDC: 517.977: 534.112
Language: Russian
Citation: V. R. Barseghyan, S. V. Solodusha, “The problem of boundary control of string vibrations by displacement of the left end when the right end is fixed with the given values of the deflection function at intermediate times”, Russian Universities Reports. Mathematics, 25:130 (2020), 131–146
Citation in format AMSBIB
\Bibitem{BarSol20}
\by V.~R.~Barseghyan, S.~V.~Solodusha
\paper The problem of boundary control of string vibrations by displacement of the left end when the right end is fixed with the given values of the deflection function at intermediate times
\jour Russian Universities Reports. Mathematics
\yr 2020
\vol 25
\issue 130
\pages 131--146
\mathnet{http://mi.mathnet.ru/vtamu176}
\crossref{https://doi.org/10.20310/2686-9667-2020-25-130-131-146}
\elib{https://elibrary.ru/item.asp?id=43145437}
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    • This publication is cited in the following 5 articles:
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