Global exponential stability of a class of memristive neural networks with time-varying delays

被引：46
|
作者：
Wang, Xin [1 ]
Li, Chuandong [1 ]
Huang, Tingwen [2 ]
Duan, Shukai [3 ]
机构：
[1] Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China
[2] Texas A&M Univ Qatar, Doha 23874, Qatar
[3] Southwest Univ, Sch Elect & Informat Engn, Chongqing 400715, Peoples R China
来源：
NEURAL COMPUTING & APPLICATIONS | 2014年 / 24卷 / 7-8期
关键词：
Memristive neural network; Exponential stability; Time delay; Lyapunov functional; BIFURCATION;
D O I：
10.1007/s00521-013-1383-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper studies the uniqueness and global exponential stability of the equilibrium point for memristor-based recurrent neural networks with time-varying delays. By employing Lyapunov functional and theory of differential equations with discontinuous right-hand side, we establish several sufficient conditions for exponential stability of the equilibrium point. In comparison with the existing results, the proposed stability conditions are milder and more general, and can be applied to the memristor-based neural networks model whose connection weight changes continuously. Numerical examples are also presented to show the effectiveness of the theoretical results.
引用
收藏
页码：1707 / 1715
页数：9
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