Elsevier

Applied Mathematics Letters

Volume 38, December 2014, Pages 7-13
Applied Mathematics Letters

A novel approach to exponential stability of nonlinear non-autonomous difference equations with variable delays

https://doi.org/10.1016/j.aml.2014.06.014Get rights and content
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Abstract

In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halanay inequality. Based on our new generalized inequality, a novel criterion for the exponential stability of a certain class of nonlinear non-autonomous difference equations is proposed. Numerical examples are given to illustrate the effectiveness of the obtained results.

Keywords

Discrete Halanay inequality
Exponential stability
Non-autonomous systems
Time-varying delays

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