IEEE Transactions on Automatic Control, Vol.50, No.11, 1897-1903, 2005
Practical stability and stabilization of hybrid and switched systems
In this note, practical stability and stabilization problems for hybrid and switched systems are studied. The main results of this note include a direct method for the epsilon-practical stability analysis of hybrid systems and sufficient conditions for the practical stabilizability of switched systems. We construct an epsilon-practically stabilizing switching law in the proof of the practical stabilizability result and apply it to a tracking problem to show its effectiveness.