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.


93D20 Asymptotic stability in control theory
93C10 Nonlinear systems in control theory
Full Text: DOI


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