pth moment exponential stability of stochastic cohen-grossberg neural networks with time-varying delays

被引:31
作者
Zhu, Enwen [1 ]
Zhang, Haomin
Wang, Yong
Zou, Jiezhong
Yu, Zheng
Hou, Zhenting
机构
[1] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Hunan, Peoples R China
[2] Cent S Univ, Sch Math, Changsha 410075, Hunan, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
stochastic Cohen-Grossberg neural networks; pth moment exponential stability; Razumikhin-type theorem;
D O I
10.1007/s11063-007-9051-z
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The pth moment exponential stability of stochastic Cohen-Grossberg with time-varying delays is investigated in this paper. A set of novel sufficient conditions on pth moment exponential stability are given for the considered system by using the well-known Razumikhin-type theorem. Finally, two examples with their numerical simulations are provided to show the correctness of our analysis.
引用
收藏
页码:191 / 200
页数:10
相关论文
共 21 条
[1]   Stability of stochastic delay neural networks [J].
Blythe, S ;
Mao, XR ;
Liao, XX .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (04) :481-495
[2]   Boundedness and stability for Cohen-Grossberg neural network with time-varying delays [J].
Cao, J ;
Liang, JL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (02) :665-685
[3]   Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach [J].
Cao, JD ;
Li, XL .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 212 (1-2) :54-65
[4]   ON STABILITY OF CELLULAR NEURAL NETWORKS WITH DELAY [J].
CIVALLERI, PP ;
GILLI, M ;
PANDOLFI, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (03) :157-165
[5]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[6]  
Haykin S., 1994, Neural Networks, P936
[7]   Globally exponential stability of generalized Cohen-Grossberg neural networks with delays [J].
Hwang, CC ;
Cheng, CJ ;
Liao, TL .
PHYSICS LETTERS A, 2003, 319 (1-2) :157-166
[8]  
Li XL, 2005, LECT NOTES COMPUT SC, V3496, P162
[9]  
Liao X. X., 1996, Neural, Parallel & Scientific Computations, V4, P205
[10]   Criteria for exponential stability of Cohen-Grossberg neural networks [J].
Liao, XF ;
Li, CG ;
Wong, KW .
NEURAL NETWORKS, 2004, 17 (10) :1401-1414