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

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 B(n) itself and a different parameter is given for obtaining some estimates for the solutions of the unperturbed system.