Stability analysis of reaction-diffusion Cohen-Grossberg neural networks under impulsive control

被引：42
作者：
Wang, Jin-Liang [1 ]
Wu, Huai-Ning [1 ]
Guo, Lei [1 ]
机构：
[1] Beihang Univ, Sci & Technol Aircraft Control Lab, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
来源：
NEUROCOMPUTING | 2013年 / 106卷
基金：
中国国家自然科学基金;
关键词：
Cohen-Grossberg neural networks; Reaction-diffusion; Global exponential stability; Impulsive control; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; CONTINUOUSLY DISTRIBUTED DELAYS; DIRICHLET BOUNDARY-CONDITIONS; ROBUST STABILITY; ASYMPTOTIC STABILITY; NONSMOOTH ANALYSIS; MIXED DELAYS; LMI APPROACH; TERMS;
D O I：
10.1016/j.neucom.2012.11.006
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The impulsive control method is developed to stabilize a class of Cohen-Grossberg neural networks (CGNNs) with reaction-diffusion terms and Dirichlet boundary conditions. With the help of Lyapunov functionals, impulsive delay differential inequality and comparison principle, some sufficient conditions ensuring global exponential stability (GES) of equilibrium point are obtained. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters, time delays and impulsive interval. Numerical simulations are presented finally to demonstrate the effectiveness of proposed results. (c) 2012 Elsevier B.V. All rights reserved.
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页码：21 / 30
页数：10
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