Abstract
In this paper, we establish the approximate controllability of a class of distributed bilinear systems evolving in a spatial domain Ω. A bounded feedback control is used to drive a dynamical system from an initial state to a desired one in finite time, only on a subregion ω of the system domain. Our purpose is to prove that an regional optimal control exists, and characterized as a solution to an optimality system. Numerical approach is given and successfully illustrated by simulations. AMS Subject Classification: 93B05, 93B52, 49K35
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