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

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.

Keywords

• multilayer biological material
• thermal effect of a laser beam
• thermal process
• boundary control
• temperature state
• method of separation of variables