New result on exponential stability for neutral stochastic linear system with time-varying delay

被引:22
作者
Chen, Huabin [1 ]
Wang, Liu [1 ]
机构
[1] Nanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Neutral stochastic linear system; Exponential stability; Almost surely exponential stability; Time-varying delay; INFINITY FILTER DESIGN; NEURAL-NETWORKS; ROBUST-STABILITY; CRITERIA;
D O I
10.1016/j.amc.2014.04.047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper mainly considers the problem for the exponential stability of neutral stochastic linear system with time-varying delay. In the light of a coupled delay-integral inequality and using the stochastic analytic technique, the exponential stability criteria for such systems are given in term of the algebraic inequalities, regardless of whether the time-varying delay is differentiable or not. An illustrative numerical example is given to show the effectiveness of the obtained result. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:320 / 325
页数:6
相关论文
共 24 条
[1]   Delay-interval-dependent robust-stability criteria for neutral stochastic neural networks with polytopic and linear fractional uncertainties [J].
Balasubramaniam, P. ;
Lakshmanan, S. .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (10) :2001-2015
[2]   Robust H∞ filter design for neutral stochastic uncertain systems with time-varying delay [J].
Chen, Guici ;
Shen, Yi .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (01) :196-204
[3]   Delay-dependent exponential stability for uncertain neutral stochastic linear systems with interval time-varying delay [J].
Chen, H. ;
Zhu, C. .
IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (15) :2409-2418
[4]   New results on stability analysis for neutral stochastic linear system [J].
Chen, Huabin .
IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (13) :1753-1764
[5]   Delay-dependent robust H∞ filter design for uncertain neutral stochastic system with time-varying delay [J].
Chen, Huabin .
IET SIGNAL PROCESSING, 2013, 7 (05) :368-381
[6]   Novel delay-dependent robust stability criteria for neutral stochastic delayed neural networks [J].
Chen, Huabin ;
Zhang, Yong ;
Hu, Peng .
NEUROCOMPUTING, 2010, 73 (13-15) :2554-2561
[7]  
Chen L, 2007, LECT NOTES ARTIF INT, V4682, P148
[8]   Delay-Dependent Stochastic Stability and H∞-Control of Uncertain Neutral Stochastic Systems With Time Delay [J].
Chen, Wu-Hua ;
Zheng, Wei Xing ;
Shen, Yanjun .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) :1660-1667
[9]   A new result on stability analysis for stochastic neutral systems [J].
Chen, Yun ;
Zheng, Wei Xing ;
Xue, Anke .
AUTOMATICA, 2010, 46 (12) :2100-2104
[10]   A novel result on stability analysis for uncertain neutral stochastic time-varying delay systems [J].
Deng, Feiqi ;
Mao, Weihua ;
Wan, Anhua .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 221 :132-143