Exponential stability in terms of two measures of impulsive stochastic functional differential systems via comparison principle

被引:14
作者
Yao, Fengqi [1 ,2 ]
Deng, Feiqi [1 ]
机构
[1] S China Univ Technol, Inst Syst Engn, Guangzhou 510640, Guangdong, Peoples R China
[2] Anhui Univ Technol, Sch Elect Engn & Informat, Maanshan 243000, Peoples R China
基金
中国国家自然科学基金;
关键词
Impulsive stochastic functional differential systems; Exponential stability; Stability in terms of two measures; Comparison principle; ASYMPTOTIC STABILITY; MOMENT STABILITY; NEURAL-NETWORKS; EQUATIONS; EXISTENCE; DELAY; JUMP;
D O I
10.1016/j.spl.2012.01.005
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper, based on like-Lyapunov functions and comparison principles, several criteria on the exponential stability in terms of two measures of impulsive stochastic functional differential systems with infinite or finite delays are obtained. The results improve and complement those in earlier publications. Two illustrative examples are also discussed to show the effectiveness and generality of our theorems. (c) 2012 Published by Elsevier B.V.
引用
收藏
页码:1151 / 1159
页数:9
相关论文
共 27 条
[1]   Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay [J].
Alwan, Mohamad S. ;
Liu, Xinzhi ;
Xie, Wei-Chau .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07) :1317-1333
[2]  
[Anonymous], 1993, Stability Analysis in Terms of Two Measures
[3]   Stability analysis of impulsive stochastic differential systems in terms of two measures [J].
Caro, EA ;
Rao, ANV .
PROCEEDINGS OF THE IEEE SOUTHEASTCON '96: BRINGING TOGETHER EDUCATION, SCIENCE AND TECHNOLOGY, 1996, :132-135
[4]   Robust stability and H∞-control of uncertain impulsive systems with time-delay [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2009, 45 (01) :109-117
[5]   Global exponential stability of impulsive stochastic functional differential systems [J].
Cheng, Pei ;
Deng, Feiqi .
STATISTICS & PROBABILITY LETTERS, 2010, 80 (23-24) :1854-1862
[6]   Mean square exponential stability in high-order stochastic impulsive BAM neural networks with time-varying delays [J].
Cu, Haibo .
NEUROCOMPUTING, 2011, 74 (05) :720-729
[7]  
Fengqi Yao, 2010, 2010 8th IEEE International Conference on Control and Automation (ICCA 2010), P333, DOI 10.1109/ICCA.2010.5524451
[8]   LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays [J].
Fu, Xilin ;
Li, Xiaodi .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :435-454
[9]  
Lakshmikantham V., 1989, World scientific, V6
[10]   Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks [J].
Li, Chunguang ;
Chen, Luonan ;
Aihara, Kazuyuki .
CHAOS, 2008, 18 (02)