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

2013/05/09 by Ioan‐Lucian Popa, Ioan-Lucian Popa, Traian Ceausu +5
Engineering · Mathematics · #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Stability and Controllability of Differential Equations #math.DS #msc:34D05 #msc:39A11

paper · pdf · doi:10.48550/arxiv.1305.2036

Computers & Mathematics with Applications, accepted for publication

arxiv created 2013/05/09 · arxiv updated 2013/05/10

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.

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