Robust stability analysis of impulsive quaternion-valued neural networks with distributed delays and parameter uncertainties

被引：1
|
作者：
Zhou, Jielin [1 ]
Tan, Yuanshun [1 ]
Chen, Xiaofeng [1 ]
Liu, Zijian [1 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Quaternion-valued neural networks; Distributed delays; Global robust stability; Lyapunov stability theorem;
D O I：
10.1186/s13662-020-03078-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered. Based on the homeomorphic mapping method, Lyapunov stability theorem, and linear matrix inequality (LMI) approach, sufficient conditions for the existence, uniqueness, and global robust stability of the equilibrium point of the impulsive QVNNs are provided. A numerical example is provided to confirm the obtained results. A conclusion is presented in the end.
引用
收藏
页数：33
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