On the stabilization of persistently excited linear systems

Yacine Chitour, Mario Sigalotti

We consider control systems of the type $\dot{x}=Ax+\alpha (t)bu$, where $u\in \mathbb{R}$, $(A,b)$ is a controllable pair and $\alpha$ is an unknown time-varying signal with values in $[0,1]$ sati…