Regional optimal control of a bilinear wave equation. (English) Zbl 1417.49027
Summary: 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.
MSC:
| 49K20 | Optimality conditions for problems involving partial differential equations |
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