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| In this talk we will examine the exponential stability of linear discrete time-delay systems with slowly varying coefficients and nonlinear perturbations. We will establish the robustness of the exponential stability in Hilbert spaces, in the sense that the exponential stability for a given linear equation persists under sufficiently small perturbations. As an application of the main results, we will discuss the exponential stability of general nonlinear systems. We always consider the exponential behavior of solutions with respect to an specific ball, thus ensuring reasonable dynamics. |
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