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Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays

ESI高被引SCI-EEI
WOS被引频次:95
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成果类型:
期刊论文
作者:
Song, Qiankun;Zhang, Jiye
通讯作者:
Song, QK
作者机构:
[Zhang, Jiye] National Traction Power Laboratory, Southwest Jiaotong University, Chengdu, 610031, China
[Song, Qiankun] Department of Mathematics, Chongqing Jiaotong University, Chongqing, 400074, China
通讯机构:
[Song, Qiankun] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China.
语种:
英文
关键词:
global exponential stability;Cohen-Grossberg neural network;time-varying delays;impulsive;M-matrix
期刊:
Nonlinear Analysis: Real World Applications
ISSN:
1468-1218
年:
2008
卷:
9
期:
2
页码:
500-510
文献类别:
WOS:Article;EI:Journal article (JA)
所属学科:
ESI学科类别:数学;WOS学科类别:Mathematics, Applied
入藏号:
WOS:000253362200022;EI:20075110987481
机构署名:
本校为其他机构
摘要:
In this paper, the impulsive Cohen-Grossberg neural network model with time-varying delays is considered. Applying the idea of vector Lyapunov function, M-matrix theory and inequality technique, several new sufficient conditions are obtained to ensure global exponential stability of equilibrium point for impulsive Cohen-Grossberg neural network with time-varying delays. These results generalize a few previous known results and remove some restrictions on the neural network. An example is given to show the effectiveness of the obtained results. It is believed that these results are significant and useful for the design and applications of the Cohen-Grossberg neural network. ©2006 Elsevier Ltd. All rights reserved.
参考文献:
Akca H, 2004, J MATH ANAL APPL, V290, P436, DOI 10.1016/j.jmaa.2003.10.005
Cao J, 2004, J MATH ANAL APPL, V296, P665, DOI 10.1016/j.jmaa.2004.04.039
Chen TP, 2003, PHYS LETT A, V317, P436, DOI 10.1016/j.physleta.2003.08.066
Chen TP, 2004, IEEE T NEURAL NETWOR, V15, P203, DOI 10.1109/TNN.2003.822974
COHEN MA, 1983, IEEE T SYST MAN CYB, V13, P815

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