article · Asian Journal of Control
Abstract The present research deals with regional optimal control problem of the bilinear wave equation evolving on a spatial domain . Such an equation is excited by bounded controls that act on the velocity term. It addresses the tracking of a desired state all over the time interval only on a subregion of with minimum energy. Then, we prove that an optimal control exists and is characterized as a solution to an optimality system. Algorithm for the computation of such a control is given and successfully illustrated through simulations.
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DOI: 10.1002/asjc.3125
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