화학공학소재연구정보센터
International Journal of Control, Vol.92, No.4, 940-949, 2019
Regional optimal control of a bilinear wave equation
We study a regional optimal control problem of a bilinear wave equation evolving on a spatial domain omega with a distributed controls. We search a distributed control which aims to minimise a given functional cost that contains the gap between a desired state and the reached one. This latter is defined only on a subregion omega of omega. Therefore, we prove existence and we give characterisation of an optimal control. The obtained results lead to an algorithm that we illustrate by simulations.