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Exponential stability of slowly varying discrete systems with multiple state delays. (English) Zbl 1278.93216

Summary: We give sufficient conditions for the exponential stability of a class of perturbed time-varying difference equations with multiple delays and slowly varying coefficients. Under appropriate growth conditions on the perturbations, combined with the ’freezing’ technique, we establish explicit conditions for global exponential stability.

MSC:

93D20 Asymptotic stability in control theory
93C55 Discrete-time control/observation systems
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References:

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