Stability and Stabilizability for Linear Systems of Difference Equations.

The aim of this paper is to characterize the uniform exponential stability of difference equations. We obtain very general input-output conditions for stability of difference equations using diverse vector valued sequence spaces. As an application, we obtain an estimation for the lower hound of the stability radius of a linear control system of difference equations. Finally, we characterize the stability of systems of difference equations in terms of stabilizability and detectability, obtaining discrete-time vemions for a result due to Clark, Latushkin, Montgomery- Smith and Randolph. [ABSTRACT FROM AUTHOR]