Exact controllability of a structural acoustic system with variable coefficient and curved wall

This paper is concerned with the exact controllability of a structural acoustic system with two controls, which consists of an interior acoustic wave equation with variable coefficient and a coupled Kirchoff plate with a curved middle surface. We use the Riemannian geometrical approach and the multiplier technique to prove the corresponding observability inequality. And the exact controllability of this system is finally established under verifiable assumptions on the geometry of the interior domain and the interface.