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Practical stability and stabilization of hybrid and switched systems

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2 Author(s)
Xuping Xu ; Dept. of Electr. & Comput. Eng., Pennsylvania State Univ., Erie, PA, USA ; Zhai, Guisheng

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 ε-practical stability analysis of hybrid systems and sufficient conditions for the practical stabilizability of switched systems. We construct an ε-practically stabilizing switching law in the proof of the practical stabilizability result and apply it to a tracking problem to show its effectiveness.

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Automatic Control, IEEE Transactions on  (Volume:50 ,  Issue: 11 )