Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays

被引：43

作者：

Jiang, HJ ^{[1
]}

Zhang, L ^{[1
]}

Teng, ZD ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS | 2005年 / 16卷 / 06期

基金：

中国国家自然科学基金;

关键词：

almost periodic solution; cellular neural networks (CNNs); global exponential stability; hull equation; hull function; time-varying delays; variable coefficient; young inequality;

D O I：

10.1109/TNN.2005.857951

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we study cellular neural networks with almost periodic variable coefficients and time-varying delays. By using the existence theorem of almost periodic solution for general functional differential equations, introducing many real parameters and applying the Lyapunov functional method and the technique of Young inequality, we obtain some sufficient conditions to ensure the existence, uniqueness, and global exponential stability of almost periodic solution. The results obtained in this paper are new, useful, and extend and improve the existing ones in previous literature.

引用

页码：1340 / 1351

页数：12

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