On exponential stability for linear discrete-time systems in Banach spaces
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 Barbashin [6] and Datko [5]. An illustrative example clarifies the relations between these concepts.
linear discrete-time systems uniform exponential stability (nonuniform) exponential stability strongly exponential stability