On Practical Stability and Stabilization of Hybrid and Switched Systems

摘要

In this paper, practical stability and stabilization problems for hybrid and switched systems are studied. We formally introduce the notions of ε-practical stability and practical stabilizability. The main results of the paper include a direct method for the ε-practical stability analysis of hybrid systems and sufficient conditions for the practical stabilizability of switched systems. Moreover, we construct an ε-practically stabilizing switching law in the proof of the stabilizability results and apply it to a tracking problem to show its effectiveness.