Abstract
In this paper, we examine the problem on the regional optimal control of a vibrating plate in a spatial domain Ω. We obtain a bounded control that drives such a system from an initial state to a desired state in a finite time, only on a subdomain ω of Ω. We prove that a regional optimal control exists characterize this control. Also we propose a condition that ensures the uniqueness of an optimal control and develop an algorithm for numerical simulations.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 178, Optimal Control, 2020.
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Zerrik, E., Aadi, A.A. & Larhrissi, R. Regional Optimal Control Problem for the Vibrating Plate. J Math Sci 276, 216–226 (2023). https://doi.org/10.1007/s10958-023-06736-z
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DOI: https://doi.org/10.1007/s10958-023-06736-z