Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties

被引：18
|
作者：
Tan, Yuanshun [1 ]
Tang, Sanyi [2 ]
Yang, Jin [1 ]
Liu, Zijian [1 ]
机构：
[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Stat, Xian 710062, Shanxi, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
complex-valued neural networks; robust stability; delay; impulsive; GLOBAL EXPONENTIAL STABILITY;
D O I：
10.1186/s13660-017-1490-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present study considers the robust stability for impulsive complex-valued neural networks (CVNNs) with discrete time delays. By applying the homeomorphic mapping theorem and some inequalities in a complex domain, some sufficient conditions are obtained to prove the existence and uniqueness of the equilibrium for the CVNNs. By constructing appropriate Lyapunov-Krasovskii functionals and employing the complex-valued matrix inequality skills, the study finds the conditions to guarantee its global robust stability. A numerical simulation illustrates the correctness of the proposed theoretical results.
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收藏
页数：15
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