In this paper, we analyze the exact controllability problem for wave equations endowed with switching controls. The goal is to control the dynamics of the system by switching among different actuators such that, in each instant of time, there are as few active actuators as possible. We prove that the system is exactly controllable under suitable geometric control conditions.
"Exact Controllability for Wave Equations with Switching Controls." Taiwanese J. Math. 22 (2) 371 - 382, April, 2018. https://doi.org/10.11650/tjm/170803