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

共 47 条

[41] Markovian architectural bias of recurrent neural networks [J].

Tino, P ;

Cernansky, M ;

Benusková, L .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :6-15

[42] Synchronization in arrays of coupled nonlinear systems: Passivity, circle criterion, and observer design [J].

Chai Wah Wu .

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (10) :1257-1261

[43] Passivity analysis and passification for uncertain signal processing systems [J].

Xie, LH ;

Fu, MY ;

Li, HZ .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (09) :2394-2403

[44] Passivity Analysis of Neural Networks With Time-Varying Delays [J].

Xu, Shengyuan ;

Zheng, Wei Xing ;

Zou, Yun .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (04) :325-329

[45] A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays [J].

Zhang, Xian-Ming ;

Han, Qing-Long .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (17) :1922-1930

[46] New passivity criteria for neural networks with time-varying delay [J].

Zhang, Zexu ;

Mou, Shaoshuai ;

Lam, James ;

Gao, Huijun .

NEURAL NETWORKS, 2009, 22 (07) :864-868

[47] Delay-dependent robust stability for Hopfield neural networks of neutral-type [J].

Zhu, Jin ;

Zhang, Qingling ;

Yang, Chunyu .

NEUROCOMPUTING, 2009, 72 (10-12) :2609-2617

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