On passivity analysis for stochastic neural networks with interval time-varying delay

被引：80
作者：
Fu, Jie [1 ,2 ]
Zhang, Huaguang [1 ]
Ma, Tiedong [1 ,2 ]
Zhang, Qingling [3 ]
机构：
[1] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Chongqing Univ, Coll Automat, Chongqing 400030, Peoples R China
[3] Northeastern Univ, Inst Syst Sci, Shenyang 110004, Peoples R China
来源：
NEUROCOMPUTING | 2010年 / 73卷 / 4-6期
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
Passivity; Stochastic neural networks (SNNs); Interval time-varying delay; Linear matrix inequality (LMI); DEPENDENT STABILITY; SYSTEMS; CRITERIA;
D O I：
10.1016/j.neucom.2009.10.010
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The passivity problem of stochastic neural networks (SNNs) with interval time-varying delay and norm-bounded parameter uncertainties is investigated in this paper. By constructing appropriate Lyapunov-Krasovskii functional and employing an improved inequality, some delay-dependent passivity criteria are obtained in the linear matrix inequality (LMI) format. The main contribution of this paper is that a tighter upper bound of the differential of Lyapunov-Krasovskii functional is obtained by an improved approximation method. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：795 / 801
页数：7
相关论文
共 27 条
[1]  
[Anonymous], 2001, Neural Networks: A Comprehensive Foundation
[2]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[3]   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
[4]   Mean square exponential stability of uncertain stochastic delayed neural networks [J].
Chen, Wu-Hua ;
Lu, Xiaomei .
PHYSICS LETTERS A, 2008, 372 (07) :1061-1069
[5]   Passivity and complexity [J].
Chua, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82
[6]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[7]   Stability analysis for neural networks with time-varying interval delay [J].
He, Yong ;
Liu, G. P. ;
Rees, D. ;
Wu, Min .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06) :1850-1854
[8]   Delay-dependent stability for uncertain stochastic neural networks with time-varying delay [J].
Huang, He ;
Feng, Gang .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (1-2) :93-103
[9]   Passivity analysis of neural networks with time delay [J].
Li, CG ;
Liao, XF .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (08) :471-475
[10]   Delay-Interval-dependent stability of recurrent neural networks with time-varying delay [J].
Li, Chuandong ;
Feng, Gang .
NEUROCOMPUTING, 2009, 72 (4-6) :1179-1183
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