Abstract
The purpose of this paper is to investigate the exponential stability for discrete-time homogeneous impulsive positive delay systems of degree one. By virtue of max-separable Lyapunov functions together with Razumikhin technique, both the stability results that impulses act as stabilizers and the stability results that impulses act as perturbations are obtained. It should be noted that it is the first time that impulsive exponential stabilization results and Razumikhin type exponential stability results for discrete-time homogeneous impulsive positive delay systems of degree one are given. Two numerical examples are provided to show the effectiveness of the proposed results.
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