A delay decomposition approach to delay-dependent passivity analysis for interval neural networks with time-varying delay

被引：49

作者：

Balasubramaniam, P. ^{[1
]}

Nagamani, G. ^{[1
]}

机构：

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

来源：

NEUROCOMPUTING | 2011年 / 74卷 / 10期

关键词：

Linear matrix inequality (LMI); Neural networks; Passivity; Time-varying delays; Lyapunov method; EXPONENTIAL STABILITY; SYSTEMS;

D O I：

10.1016/j.neucom.2011.01.011

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 is concerned with delay-dependent passivity analysis for interval neural networks with time-varying delay. By decomposing the delay interval into multiple equidistant subintervals, new Lyapunov-Krasovskii functionals (LKFs) are constructed on these intervals. Employing these new LKFs, a new passivity criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of the time delay. Finally, some numerical examples are given to illustrate the effectiveness of the developed techniques. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1646 / 1653

页数：8

共 26 条

[1] An analysis of exponential stability of delayed neural networks with time varying delays [J].

Arik, S .

NEURAL NETWORKS, 2004, 17 (07) :1027-1031

[2] Passivity approach to fuzzy control systems [J].

Calcev, G ;

Gorez, R ;

De Neyer, M .

AUTOMATICA, 1998, 34 (03) :339-344

[3] Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays [J].

Cao, Jinde ;

Yuan, Kun ;

Li, Han-Xiong .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06) :1646-1651

[4] Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].

Chen, Bing ;

Li, Hongyi ;

Lin, Chong ;

Zhou, Qi .

PHYSICS LETTERS A, 2009, 373 (14) :1242-1248

[5] Improved Delay-Dependent Asymptotic Stability Criteria for Delayed Neural Networks [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (12) :2154-2161

[6] Improved Results on Passivity Analysis of Uncertain Neural Networks with Time-Varying Discrete and Distributed Delays [J].

Chen, Yonggang ;

Li, Wenlin ;

Bi, Weiping .

NEURAL PROCESSING LETTERS, 2009, 30 (02) :155-169

[7] Passivity and complexity [J].

Chua, LO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82

[8] A further refinement of discretized Lyapunov functional method for the stability of time-delay systems [J].

Gu, KQ .

INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (10) :967-976

[9]

Haykin S. S., 1994, Neural Networks: A Comprehensive Foundation

[10] STABILITY RESULTS FOR NONLINEAR FEEDBACK-SYSTEMS [J].

HILL, DJ ;

MOYLAN, PJ .

AUTOMATICA, 1977, 13 (04) :377-382

← 1 2 3 →