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Estimates of equilibrium points and global asymptotic stability of Cohen-Grossberg neural networks with delays.

Authors :
Fang Qiu
Baotong Cui
Source :
International Journal of Systems Science. Dec2009, Vol. 40 Issue 12, p1319-1328. 10p. 2 Graphs.
Publication Year :
2009

Abstract

This article studies a class of Cohen-Grossberg neural networks (CGNNs) with variable and distributed delays. Some novel conditions guaranteeing the existence, uniqueness and the estimated location of the equilibrium points are obtained. Using these results, the global asymptotic stability of the CGNNs can be derived without demanding the boundedness and the globally Lipschitz condition of the activation functions. Two numerical examples are demonstrated to verify the theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207721
Volume :
40
Issue :
12
Database :
Academic Search Index
Journal :
International Journal of Systems Science
Publication Type :
Academic Journal
Accession number :
49234243
Full Text :
https://doi.org/10.1080/00207720903042913