English

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

Dynamical Systems 2013-05-10 v1

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.

Keywords

Cite

@article{arxiv.1305.2036,
  title  = {On exponential stability for linear discrete-time systems in Banach spaces},
  author = {Ioan-Lucian Popa and Traian Ceausu and Mihail Megan},
  journal= {arXiv preprint arXiv:1305.2036},
  year   = {2013}
}

Comments

Computers & Mathematics with Applications, accepted for publication

R2 v1 2026-06-22T00:13:54.899Z