Exact controllability of semi-linear 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 they arise in waves/plates boundary control problems. The main goal is to prove that under the assumptions of (i) exact controllability of the linear part of the dynamics and (ii) 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). A motivating example is presented.
Proceedings of the IEEE Conference on Decision and Control
Lasiecka, I., & Triggiani, R. (1989). Exact controllability of semi-linear abstract systems with application to waves and plates boundary control problems. Proceedings of the IEEE Conference on Decision and Control, 3, 2291-2294. Retrieved from https://digitalcommons.memphis.edu/facpubs/4621