Initial value problems of singularly perturbed discrete systems via time-scale decomposition

Abstract

In this paper, we investigate the iteration scheme of the mode decoupling transformation in the discrete system, and by using these results, we formulate the boundary layer method in the discrete system. The main purpose of this method is the systematic treatment of obtaining approximate solutions of the singularly perturbed initial value problem. Finally, we give an illustrative example of a seventh order power system.