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Robust exponential stability of impulsive switched systems with switching delays: a Razumikhin approach. (English) Zbl 1239.93104

Summary: In this paper, we focus on the robust exponential stability of a class of uncertain nonlinear impulsive switched systems with switching delays. We introduce a novel type of piecewise Lyapunov-Razumikhin functions. Such functions can efficiently eliminate the impulsive and switching jump of adjacent Lyapunov functions at impulsive switching instants. By Razumikhin technique, the delay-independent criteria of exponential stability are established on the minimum dwell time. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained theoretical results.

MSC:

93D20 Asymptotic stability in control theory
93C10 Nonlinear systems in control theory
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