Stability of linear discrete switched systems with delays based on average dwell time method
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This paper deals with the problem of exponential stability for a class of linear discrete switched systems with constant delays. The switched systems consist of stable and unstable subsystems. Based on the average dwell time method, some switching signals will be found to guarantee exponential stability of these systems. The explicit state decay estimation is also given in the form of the solutions of linear matrix inequalities (LMIs). An example relating to networked control systems (NCSs) illustrates the effectiveness of the proposed method.
Keywordsswitched systems average dwell time time delay LMI
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- 3.Sun Z D, Ge S S. Switched Linear Systems-Control and Design. New York: Springer-Verlag, 2004Google Scholar
- 7.Lin H, Zhai G S, Antsaklis P J. Robust stability and disturbance attenuation analysis of a class of networked control systems. In: IEEE Conference on Decision and Control, Maui, Hawaii, 2003. 2: 1182–1187Google Scholar
- 15.Xie G M, Wang L. Quadratic stability and stabilization of discrete-time switched systems with state delay. In: Proc 43rd IEEE Conf Decision and Control, Atlantis, Paradise Island, Bahamas, 2004. 3235–3240Google Scholar