Stability Analysis of Periodic Solution for a Complex-valued Neural Networks With Bounded and Unbounded Delays

被引：17
作者：
Du, Bo [1 ]
机构：
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2018年 / 20卷 / 02期
关键词：
Bounded and unbounded delays; complex-valued; Mawhin's continuation theorem; periodic solution; TIME-VARYING DELAYS; GLOBAL EXPONENTIAL STABILITY;
D O I：
10.1002/asjc.1608
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is devoted to investigating a class of complex-valued neural networks with bounded and unbounded delays. By means of Mawhin's continuation theorem, some criteria on existence and uniqueness of periodic solution are established for the complex-valued neural networks. By constructing an appropriate Lyapunov-Krasovskii functional and M-matrix theory, some sufficient conditions are derived for the global exponential stability of periodic solutions to the complex-valued neural networks. Finally, two numerical examples are given to show the effectiveness and merits of the present results.
引用
收藏
页码：881 / 892
页数：12
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