In this paper, we consider the stabilization problem of discrete-time switched system with controllable subsystems. For both cases of known and unknown bound of the switching functions, a linear feedback control can be constructed such that the closed-loop system is exponentially stable.
In this paper, we consider the stabilization of a class of nonlinear switched system based on multiple Lyapunov functions. Using multiple Lyapunov functions method as the main tool, we provide that there exists a feedback controller such that the system (2) is asymptotically stable.
In this paper, we consider the stabilization of switched system with controllable subsystems under arbitrary switching law and the stabilization of its perturbed system when the perturbation satisfies certain condition