Stabilization of a class switched linear systems

This paper studies periodic stabilization of a class of switched linear systems. The concepts of periodically asymptotical stabilizability (PAS) and periodically exponential stabilizability (PES) are first introduced. First, for the continuous-time case, a necessary and sufficient condition for PAS is established. Then, it is proved that PES is equivalent to PAS, and controllability is equivalent to PES with arbitrary decaying rate, respectively. The corresponding algorithms are given as well. Finally, a numerical examples are given to illustrate our results.