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

作者：Le Van Hien^*

来源：Applied Mathematics Letters, 2014, 38: 7-13.

DOI：10.1016/j.aml.2014.06.014

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

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.

• 出版日期2014-12