Stability of cohen-grossberg neural networks with unbounded time-varying delays

Authors:
Bo Liu;Wenlian Lu
Affiliations:
School of Mathematical Sciences, Fudan University., Shanghai, China;School of Mathematical Sciences, Fudan University., Shanghai, China
Venue:
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Year:
2011

Citing 4
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Abstract

In this paper, we consider the stability of Cohen-Grossberg neural networks with unbounded time-varying delays. Under less restrictive conditions those proposed in existing literature, we prove the asymptotic stability of the generalized Cohen-Grossberg neural networks. For the first time, we deal with the case where the unbounded time-varying delay τ(t) which is not necessarily continuous in time t. And for the amplification function, we only need it to be positive and continuous, a uniform positive lower and upper bounds are not necessary.