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A Model of the Control Problem of the Thermal Effect of a Laser Beam on a Two-Layer Biomaterial

Author

Listed:
  • Vanya Barseghyan

    (Institute of Mechanics, The National Academy of Sciences of the Republic of Armenia, Yerevan State University, Yerevan 0019, Armenia)

  • Svetlana Solodusha

    (Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, 664033 Irkutsk, Russia)

Abstract

We consider a two-layer biological object consisting of layers with different thermophysical characteristics and subjected to laser radiation. Using the method of separation of variables and methods of control theory for finite-dimensional systems, we developed a constructive approach to constructing a control function for the thermal effect of a laser beam on a two-layer biomaterial. Under the controlled thermal influence of a laser beam, the distribution of the temperature state in a two-layer biomaterial transitions from the initial state to the final one during a given time period.

Suggested Citation

  • Vanya Barseghyan & Svetlana Solodusha, 2024. "A Model of the Control Problem of the Thermal Effect of a Laser Beam on a Two-Layer Biomaterial," Mathematics, MDPI, vol. 12(3), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:3:p:374-:d:1325526
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