Mean-square exponentially input-to-state stability of stochastic Cohen-Grossberg neural networks with time-varying delays

被引:37
作者
Zhou, Weisong [1 ]
Teng, Lingying [2 ]
Xu, Daoyi [1 ]
机构
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China
[2] Southwest Univ Nationalities, Coll Comp Sci & Technol, Chengdu 610041, Sichuan, Peoples R China
基金
中国国家自然科学基金;
关键词
Mean-square exponentially input-to-state stable; Cohen-Grossberg neural networks; Razumikhin technique; Time-varying delays; GLOBAL ATTRACTING SET; PERIODIC-SOLUTION; STABILIZATION; BOUNDEDNESS; EXISTENCE; SYSTEMS;
D O I
10.1016/j.neucom.2014.11.052
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a class of stochastic Cohen-Grossberg neural networks with time-varying delays is considered. By utilizing Razumikhin technique and constructing new Halanay differential inequalities, some sufficient conditions ensuring the mean-square exponential input-to-state stability of the networks are obtained. Two numerical examples are given to illustrate the efficiency of the derived results. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:54 / 61
页数:8
相关论文
共 32 条
[1]   Passive learning and input-to-state stability of switched Hopfield neural networks with time-delay [J].
Ahn, Choon Ki .
INFORMATION SCIENCES, 2010, 180 (23) :4582-4594
[2]   A characterization of integral input-to-state stability [J].
Angeli, D ;
Sontag, ED ;
Wang, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1082-1097
[3]   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
[4]   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
[5]  
Halanay A., 1966, Differential equations: Stability, Oscillations and Time Lags, V6
[6]   Existence and exponential stability of periodic solution for impulsive Cohen-Grossberg neural networks with time-varying delays [J].
Li, Bing ;
Xu, Daoyi .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (05) :2506-2520
[7]   Existence and global p-exponential stability of periodic solution for impulsive stochastic neural networks with delays [J].
Li, Dingshi ;
Wang, Xiaohu ;
Xu, Daoyi .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2012, 6 (03) :847-858
[8]  
Li XL, 2005, LECT NOTES COMPUT SC, V3496, P162
[9]   Exponential stability of stochastic delay interval systems [J].
Liao, XX ;
Mao, X .
SYSTEMS & CONTROL LETTERS, 2000, 40 (03) :171-181
[10]   Input-to-state stability of impulsive and switching hybrid systems with time-delay [J].
Liu, Jun ;
Liu, Xinzhi ;
Xie, Wei-Chau .
AUTOMATICA, 2011, 47 (05) :899-908