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

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

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Article ID: iaor20124214
Volume: 63
Issue: 11
Start Page Number: 1497
End Page Number: 1503
Publication Date: Jun 2012
Journal: Computers and Mathematics with Applications
Authors: , ,
Keywords: Banach space, discrete-time systems, stability
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 Barbashin and Datko . An illustrative example clarifies the relations between these concepts.

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