Global asymptotic stability of cellular neural networks with proportional delays

被引：70

作者：

Zhou, Liqun ^{[1
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

NONLINEAR DYNAMICS | 2014年 / 77卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

Cellular neural networks (CNNs); Proportional delay; Global asymptotic stability (GAS); Lyapunov functional; Linear matrix inequality (LMI); UNBOUNDED DISTRIBUTED DELAYS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; DIFFERENTIATED SERVICES; VARIABLE-COEFFICIENTS;

D O I：

10.1007/s11071-014-1271-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Proportional delay, which is different from distributed delay, is a kind of unbounded delay. The proportional delay system as an important mathematical model often rises in some fields such as physics, biology systems, and control theory. In this paper, the uniqueness and the global asymptotic stability of equilibrium point of cellular neural networks with proportional delays are analyzed. By using matrix theory and constructing suitable Lyapunov functional, delay-dependent and delay-independent sufficient conditions are obtained for the global asymptotic stability of cellular neural networks with proportional delays. These results extend previous works on these issues for the delayed cellular neural networks. Two numerical examples and their simulation are given to illustrate the effectiveness of obtained results.

引用

页码：41 / 47

页数：7

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