A Model of the Control Problem of the Thermal Effect of a Laser Beam on a Two-Layer Biomaterial-Reference-Cited by-同舟云学术

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

Published:2024-01-24 Issue:3 Volume:12 Page:374
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Barseghyan Vanya¹^ORCID,Solodusha Svetlana²^ORCID

Affiliation:

1. Institute of Mechanics, The National Academy of Sciences of the Republic of Armenia, Yerevan State University, Yerevan 0019, Armenia

2. 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.

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/3/374/pdf

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