Geodesic
Optimal boundary control for a distributed inhomogeneous oscillatory system with given intermediate conditions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 1, Tome 230 (2023), pp. 25-40

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In this paper, we develop a constructive approach to the problem of optimal boundary control for a distributed inhomogeneous oscillatory system whose dynamics is modeled by a one-dimensional wave equation with piecewise constant characteristics. Using the approach proposed, one may satisfy multi-point intermediate conditions. The results obtained are illustrated by a specific example.
Mots-clés : oscillations
Keywords: optimal control, inhomogeneous process, wave equation, separation of variables 
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     author = {V. R. Barseghyan and S. V. Solodusha},
     title = {Optimal boundary control for a distributed inhomogeneous oscillatory system with given intermediate conditions},
     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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     publisher = {mathdoc},
     volume = {230},
     year = {2023},
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V. R. Barseghyan; S. V. Solodusha. Optimal boundary control for a distributed inhomogeneous oscillatory system with given intermediate conditions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 1, Tome 230 (2023), pp. 25-40. http://geodesic.mathdoc.fr/item/INTO_2023_230_a2/