Geodesic
The optimal control problem of the thermal effect of a laser beam on a two-layer biomaterial
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 11-20

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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 
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     title = {The optimal control problem of the thermal effect of a laser beam on a two-layer biomaterial},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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V. R. Barseghyan; S. V. Solodusha. The optimal control problem of the thermal effect of a laser beam on a two-layer biomaterial. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 11-20. http://geodesic.mathdoc.fr/item/INTO_2024_234_a1/