Abstract
The aim of this paper is to study regional optimal control problem for a bilinear plate equation evolving in a spatial domain Ω⊂ℝ2. The control is bounded and acts on the velocity term. The question is to obtain a feedback control that drives such a system from an initial state to a desired one in finite time, only on a subregion ω of Ω, and minimises a quadratic functional cost. Our purpose is to prove that an optimal control exists, and characterised as solution of an optimality system. The approach is successfully illustrated by simulations.
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