Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11497
  • 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
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:93
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024