Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems

Consideration is given to the question of (global) exact controllability for a class of semilinear abstract differential equations with dynamical properties such as arise in wave/plate boundary control problems. The main goal is to prove that under the assumptions of exact controllability of the linear part of the dynamics and approximate controllability of its linearization, the original semilinear problem is (globally) exactly controllable (on the same space, and over the same time interval, as the linear part). The wave equation with Dirichlet controls is taken as an example