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, 2024, Volume 234, Pages 11–20
DOI: https://doi.org/10.36535/2782-4438-2024-234-11-20 (Mi into1287) 		 
The optimal control problem of the thermal effect of a laser beam on a two-layer biomaterial

V. R. Barseghyanab, S. V. Solodushac

a Institute of Mechanics, National Academy of Sciences of Armenia
b Yerevan State University
c L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk
Full-text PDF (254 kB)
References:
PDF
HTML
DOI: https://doi.org/10.36535/2782-4438-2024-234-11-20
Abstract: In this paper, we propose a constructive approach to constructing a function for optimal control of the thermal effect of a laser beam on a two-layer biomaterial. Under the thermal influence constructed, the distribution of the temperature state of a two-layer biomaterial transfers from a given initial state at a certain time interval into a given final state and minimizes the value of the quality criterion. The proposed approach is based on the method of variable separation and methods of the theory of optimal control of dynamic systems.
Keywords: two-layer biological material, thermal effect, laser beam, temperature state, optimal boundary control, method of variable separation
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWEU-2021-0006, № AAAA-A21-121012090034-3
The research by 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, 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, “The optimal control problem of the thermal effect of a laser beam on a two-layer biomaterial”, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234, VINITI, Moscow, 2024, 11–20
Citation in format AMSBIB
\Bibitem{BarSol24}
\by V.~R.~Barseghyan, S.~V.~Solodusha
\paper The optimal control problem of the thermal effect of a laser beam on a two-layer biomaterial
\inbook Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications"
(DYSC 2023). Irkutsk, September 18-23, 2023
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 234
\pages 11--20
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1287}
Linking options:
  • https://www.mathnet.ru/eng/into1287
  • https://www.mathnet.ru/eng/into/v234/p11
    • 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
    Statistics & downloads:
    Abstract page:103
    Full-text PDF :49
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026