Global exponential stability of impulsive delay difference equation

In this paper, an impulsive delay difference equation is considered. By establishing an impulsive delay difference inequality and using the properties of “ρ-cone” and eigenspace of the spectral radius of nonnegative matrices, some new sufficient conditions for global exponential stability of the impulsive delay difference equation are obtained. The results extend and improve the earlier publications. An example is given to demonstrate the effectiveness of the theory.