Stabilization of discrete-time switched linear systems

In this paper, we study the stabilization problem of discrete-time switched linear systems. When all subsystems are controllable, based on an estimation on state transition matrix, we establish a sufficient condition such that the switched system is stabilizable under arbitrary switching signal with given switching frequency. When there exists at least one uncontrollable subsystem, a sufficient condition is also given to guarantee the stabilization of the switched system under any switching signal with given switching frequency.