I am trying to understand the concept of finite-time stability. I found some articles that cover controller design to satisfy finite-time stability of a system but these were actually so complex.
What I thought is that, since the concept of controllability is a finite-time concept(e.g. a state can be reached in finite time), isn't it true that if a system is both asymptotically stable and controllable, then the system is finite-time stable?
Since the controllability concept does not cover the controller that is chosen, I am not sure if it can cover finite-time stability.