Abstract
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.
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Xu, X., Zhai, G. (2004). On Practical Stability and Stabilization of Hybrid and Switched Systems. In: Alur, R., Pappas, G.J. (eds) Hybrid Systems: Computation and Control. HSCC 2004. Lecture Notes in Computer Science, vol 2993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24743-2_41
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DOI: https://doi.org/10.1007/978-3-540-24743-2_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21259-1
Online ISBN: 978-3-540-24743-2
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