On the discrete asymptotic stability conditions of perturbed linear discrete systems with periodic coefficients

• Autores: K. Uslu
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 1, 2006, págs. 135-142
• Idioma: inglés
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• Resumen

  • We study the discrete asymptotic stability conditions of the perturbed system of first-order linear difference equations with periodic coefficients under the assumption that the related unperturbed system is discrete asymptotically stable. These conditions are dependent on the perturbation matrix itself and a different parameter is given for obtaining some estimates for the solutions of the unperturbed system.