Uniform stabilization for linear systems with persistency of excitation. The neutrally stable and the double integrator cases

Antoine Chaillet, Yacine Chitour, Antonio Loría +1

Consider the controlled system $dx/dt=Ax+\alpha (t)Bu$ where the pair $(A,B)$ is stabilizable and $\alpha (t)$ takes values in $[0,1]$ and is persistently exciting, i.e., there exist two p…