On exponential stability for linear discrete-time systems in Banach spaces

Abstract

In this paper we investigate four concepts of exponential stability for difference equations in Banach spaces. Characterizations of these concepts are given. They can be considered as variants for the discrete-time case of the classical results due to E.A. Barbashin [2] and R. Datko [5]. An illustrative example clarifies the relations between these concepts.

Computers & Mathematics with Applications, accepted for publication