Exponential stability of impulsive discrete systems with time delays

The purpose of this paper is to investigate the global exponential stability of impulsive discrete systems with time delays. By using Lyapunov functionals, a number of new global exponential stability criteria are provided. It is shown that a discrete system with time delays can be globally exponentially stabilized by impulses even if it may be unstable itself. Some examples are also presented to illustrate the effectiveness and the superiority of the obtained results.