Global exponential stability of Cohen-Grossberg neural networks with distributed delays

Authors:
Wei Wu;Bao Tong Cui;Xu Yang Lou
Affiliations:
Research Center of Control Science and Engineering, Southern Yangtze University, 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China;Research Center of Control Science and Engineering, Southern Yangtze University, 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China;Research Center of Control Science and Engineering, Southern Yangtze University, 1800 Lihu Road, Wuxi, Jiangsu 214122, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

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Abstract

In this paper, the exponential stability of Cohen-Grossberg neural networks with distributed delays is investigated. Using the M-matrix property, the necessary and sufficient condition for the existence, uniqueness and exponential stability of the equilibrium point of the neural networks is obtained. We avoid the difficulty of proving the existence of a positive invariant set as in some previous works.