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 novel type of piecewise Fan Shop - NBA - Clothing 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 effectiveness of Humidifires the obtained theoretical results.