We prove that the discrete system is uniformly exponentially stable if and only if the unique solution of the Cauchy problem , , is bounded for any real number and any -periodic sequence with . Here, is a sequence of bounded linear operators on Banach space .
"Uniform Exponential Stability of Discrete Evolution Families on Space of -Periodic Sequences." Abstr. Appl. Anal. 2014 1 - 4, 2014. https://doi.org/10.1155/2014/784289