Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 212, Pages 30–42
DOI: https://doi.org/10.36535/0233-6723-2022-212-30-42 (Mi into1031) 		 
The problem of boundary control of vibrations of a string by displacements at two ends with given states at intermediate time moments

V. R. Barseghyanab, S. V. Solodushacd

a Institute of Mechanics, National Academy of Sciences of Armenia
b Yerevan State University
c Irkutsk State University
d L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk
Full-text PDF (258 kB)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2022-212-30-42
Abstract: The boundary control problem is considered for the equation of string vibration with given initial and final conditions, with given values of the deflection function and velocities of points at different intermediate times. The control is carried out by displacement at the two string ends. We propose a constructive approach for constructing boundary control of string vibrations by displacement at two ends with given initial and final conditions and values of the deflection function and velocities of points given at different intermediate times. A computational experiment was carried out with the construction of the corresponding graphs and their comparative analysis, which confirmed the results obtained.
Keywords: vibrations control, boundary control, multipoint intermediate states, variable separation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWEU-2021-0006
The work of S. V. Solodusha was performed within the framework of the state assignment of the Ministry of Science and Higher Education of the Russian Federation (project FWEU-2021-0006, theme №. AAAA-A21-121012090034-3).
Document Type: Article
UDC: 517.977, 534.112
MSC: 93C10, 93C95, 70Q05
Language: Russian
Citation: V. R. Barseghyan, S. V. Solodusha, “The problem of boundary control of vibrations of a string by displacements at two ends with given states at intermediate time moments”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 212, VINITI, Moscow, 2022, 30–42
Citation in format AMSBIB
\Bibitem{BarSol22}
\by V.~R.~Barseghyan, S.~V.~Solodusha
\paper The problem of boundary control of vibrations of a string by displacements at two ends with given states at intermediate time moments
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 212
\pages 30--42
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1031}
\crossref{https://doi.org/10.36535/0233-6723-2022-212-30-42}
Linking options:
  • https://www.mathnet.ru/eng/into1031
  • https://www.mathnet.ru/eng/into/v212/p30
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025