Stability of impulsive delayed linear differential systems with delayed impulses

Abstract In this paper, uniform stability problem of impulsive delayed differential systems with delayed impulses is investigated. By means of the Lyapunov function method combined with Razumikhin technique and classic analysis methods, the criteria of uniform stability, uniform asymptotic stability and exponential stability for impulsive delay systems with delayed impulses are obtained. The numerical examples are given to illustrate the effectiveness of the proposed conclusions.

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