Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term

被引：79

作者：

Balasubramaniam, P. ^{[1
]}

Nagamani, G. ^{[1
]}

Rakkiyappan, R. ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 11期

关键词：

Linear matrix inequality (LMI); Delayed neural networks; Passivity; Interval time-varying delays; Leakage delay; Lyapunov method; GLOBAL EXPONENTIAL STABILITY; DEPENDENT STABILITY; DISCRETE; SYNCHRONIZATION; SYSTEMS;

D O I：

10.1016/j.cnsns.2011.03.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the problem of passivity analysis is investigated for neutral type neural networks with Markovian jumping parameters and time delay in the leakage term. The delay is assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. By constructing proper Lyapunov-Krasovskii functional, new delay-dependent passivity conditions are derived in terms of linear matrix inequalities (LMIs). Moreover, it is well known that the passivity behavior of neural networks is very sensitive to the time delay in the leakage term. Finally, three numerical examples are given to show the effectiveness and less conservatism of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：4422 / 4437

页数：16

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