Uniform stability of large-scale delay discrete impulsive systems

Abstract

This article investigates the problem of uniform stability for the large-scale delay DIS (discrete impulsive systems). By establishing the comparison principle for the general delay DIS, uniform stability criteria are derived for three kinds (linear, affine and non-linear) of large-scale delay DIS. The obtained criteria shows that the stability properties of non-linear large-scale delay DIS can be derived by comparing to a linear and lower dimension delay DIS, with known stability properties. Some examples are given to illustrate results obtained by us.