Robust exponential stability of nonlinear impulsive switched systems with time-varying delays

Robust exponential stability of nonlinear impulsive switched systems with time-varying delays

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This paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays.A Charcoal novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability.This type of functionals can efficiently overcome the impulsive and switching jump of adjacent Lyapunov functionals at impulsive switching times.Based on this, a delay-independent sufficient condition of exponential stability is presented by minimum dwell time.

Finally, an illustrative numerical example is given to show the Krill Oil effectiveness of the obtained theoretical results.