Delay-Dependent Exponential Stability for Uncertain Stochastic Hopfield Neural Networks With Time-Varying Delays

被引：85

作者：

Zhang, Baoyong ^{[1
]}

Xu, Shengyuan ^{[1
]}

Zong, Guangdeng ^{[1
]}

Zou, Yun ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2009年 / 56卷 / 06期

基金：

中国国家自然科学基金; 美国国家科学基金会; 中国博士后科学基金;

关键词：

Delay-dependent conditions; Hopfield neural networks; robust exponential stability; stochastic neural networks; time-varying delays; GLOBAL ASYMPTOTIC STABILITY; ROBUST STABILITY; SYSTEMS; CRITERIA; STATE;

D O I：

10.1109/TCSI.2008.2008499

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper provides new delay-dependent conditions that guarantee the robust exponential stability of stochastic Hopfield type neural networks with time-varying delays and parameter uncertainties. Both the cases of the time-varying delays which are differentiable and may not be differentiable are considered. The stability conditions are derived by using the recently developed free-weighting matrices technique and expressed in terms of linear matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of the proposed stability criteria. It is shown that the proposed stability results are less conservative than some previous ones in the literature.

引用

页码：1241 / 1247

页数：7

共 50 条

[1] Delay-dependent exponential stability results for uncertain stochastic Hopfield neural networks with interval time-varying delays
Pradeep, C.
Vinodkumar, A.
Rakkiyappan, R.
ARABIAN JOURNAL OF MATHEMATICS, 2012, 1 (02) : 227 - 239
[2] Delay-dependent exponential stability results for uncertain stochastic Hopfield neural networks with interval time-varying delays
C. Pradeep
A. Vinodkumar
R. Rakkiyappan
Arabian Journal of Mathematics, 2012, 1 (2) : 227 - 239
[3] Improved delay-dependent exponential stability for uncertain stochastic neural networks with time-varying delays
Kwon, O. M.
Lee, S. M.
Park, Ju H.
PHYSICS LETTERS A, 2010, 374 (10) : 1232 - 1241
[4] Delay-dependent robust stability for uncertain stochastic fuzzy Hopfield neural networks with time-varying delays
Sheng, Li
Gao, Ming
Yang, Huizhong
FUZZY SETS AND SYSTEMS, 2009, 160 (24) : 3503 - 3517
[5] Improved delay-dependent stability analysis for uncertain stochastic Hopfield neural networks with time-varying delays
Chen, Y.
Xue, A.
Zhao, X.
Zhou, S.
IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (01): : 88 - 97
[6] Delay-dependent robust exponential stability for uncertain recurrent neural networks with time-varying delays
Zhang, Baoyong
Xu, Shengyuan
Li, Yongmin
INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2007, 17 (03) : 207 - 218
[7] Delay-dependent stability for uncertain stochastic neural networks with time-varying delay
Huang, He
Feng, Gang
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (1-2) : 93 - 103
[8] Delay-dependent exponential stability for uncertain neutral stochastic neural networks with interval time-varying delay
Chen, Huabin
Zhao, Yang
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (14) : 2584 - 2597
[9] Delay-dependent exponential stability of cellular neural networks with time-varying delays
Zhang, Q
Wei, XP
Xu, J
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) : 1363 - 1369
[10] Delay-Dependent Stability Analysis for Uncertain Switched Hopfield Neural Networks with Discrete and Distributed Time-Varying Delays
Xiao Huimin
Wang Chunhua
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2665 - 2670

← 1 2 3 4 5 →