Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays

被引：73

作者：

Balasubramaniam, P. ^{[1
]}

Kalpana, M. ^{[1
]}

Rakkiyappan, R. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 5-6期

关键词：

Bidirectional associative memory; Fuzzy cellular neural networks; Leakage delay; Discrete delay; Unbounded distributed delays; Linear matrix inequality; BIDIRECTIONAL ASSOCIATIVE MEMORIES; EXPONENTIAL STABILITY; VARYING DELAYS; DEPENDENT STABILITY; CRITERION; IMPULSES;

D O I：

10.1016/j.mcm.2010.10.021

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article, a class of bidirectional associative memory (BAM) fuzzy cellular neural networks (FCNNs) with time delay in the leakage term, discrete and unbounded distributed delays is formulated to study the global asymptotic stability. This approach is based on the Lyapunov-Krasovskii functional with free-weighting matrices. Using linear matrix inequality (LMI), a new set of stability criteria for BAM FCNNs with time delay in the leakage term, discrete and unbounded distributed delays is obtained. Also, the stability behavior of BAM FCNNs is very sensitive to the time delay in the leakage term. In the absence of a leakage term, a new stability criteria is also derived by employing a Lyapunov-Krasovskii functional and using the LMI approach. Our results establish a new set of stability criteria for BAM FCNNs with discrete and unbounded distributed delays. Numerical examples are provided to illustrate the effectiveness of the developed techniques. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：839 / 853

页数：15

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