New delay-dependent stability criterion for stochastic recurrent neural networks

被引：0
作者：
Yang, Liyun [1 ]
Ren, Mifeng [1 ]
Hao, Dongbo [2 ]
Yang, Liqin [3 ]
机构：
[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
[2] Hebei Poshing Elect Technol Co Ltd, Shijiazhuang 050200, Hebei, Peoples R China
[3] Chengezhuang Middle Sch, Qinhuangdao 066600, Hebei, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL | 2010年 / 11卷 / 3-4期
关键词：
stochastic recurrent neutral networks; time-varying delay; delay-dependent; robust stability;
D O I：
10.1504/IJMIC.2010.037026
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of delay-dependent robust stability for uncertain stochastic neural networks with time-varying delay is considered. Based on Lyapunov stability theory combined with linear matrix inequalities (LMI) techniques, some new delay-dependent stability criteria in terms of LMI are derived by introducing some free weighing matrices and using Leibniz-Newton formula which can be selected properly to lead to less conservative results. Finally, two examples are given. One is given to illustrate, the other is an extended model for prevenient systems.
引用
收藏
页码：164 / 172
页数：9
相关论文
共 18 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]  
Boyd S., 1994, STUDIES APPL NUMERIC
[3]   A set of stability criteria for delayed cellular neural networks [J].
Cao, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498
[4]   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
[5]   Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach [J].
Chen, WH ;
Guan, ZH ;
Lu, XM .
SYSTEMS & CONTROL LETTERS, 2005, 54 (06) :547-555
[6]   Delay-dependent stability and H∞ control of uncertain discrete-time Markovian jump systems with mode-dependent time delays [J].
Chen, WH ;
Guan, ZH ;
Yu, P .
SYSTEMS & CONTROL LETTERS, 2004, 52 (05) :361-376
[7]   Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays [J].
Chen, WH ;
Xu, JX ;
Guan, ZH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (12) :2270-2277
[8]   ON THE UNIVERSE OF STABLE CELLULAR NEURAL NETWORKS [J].
CHUA, LO ;
WU, CW .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1992, 20 (05) :497-517
[9]   Delay-dependent stability for uncertain stochastic neural networks with time-varying delay (vol 381, pg 93, 2007) [J].
Huang, He ;
Feng, Gang .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (5-6) :1431-1432
[10]   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
12