Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems

被引：0

作者：

Xiang Liu

Yongguang Yu

机构：

[1] Hebei Key Laboratory of Computational Mathematics and Applications,School of Mathematical Sciences, Postdoctoral Research Station of Mathematics

[2] Hebei Normal University,School of Mathematics and Statistics

[3] Beijing Jiaotong University,undefined

来源：

Fractional Calculus and Applied Analysis | 2022年 / 25卷

关键词：

Discrete fractional-order neural networks; Discrete fractional Halanay inequality; Stability; Synchronization; 39A12; 39A70;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the discrete fractional-order Halanay inequality with distributed delays is introduced. Then, based on the generalized discrete fractional Halanay inequality and Lyapunov functional method, several novel Mittag-Leffler stability and synchronization conditions of discrete fractional-order neural network systems with distributed delays are derived. Finally, an example is given to illustrated one of the results.

引用

页码：2040 / 2061

页数：21

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