Regional Optimal Control on the Velocity Term of the Bilinear Plate Equation

摘要

The aim of this paper is to study regional optimal control problem for a bilinear plate equation evolving in a spatial domain Ω??2. 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 subregionωof 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.