Stability of Cohen-Grossberg neural networks with time-varying delays

Authors:
Tingwen Huang;Andrew Chan;Yu Huang;Jinde Cao
Affiliations:
Texas A&M University at Qatar, c/o Qatar Foundation, P.O. Box 5825, Doha, Qatar;Department of Electrical Engineering, Texas A&M University, College Station, TX 77843, USA;Department of Mathematics, Zhongshan University, Guangzhou, China;Department of Mathematics, Southeast University, Nanjing 210096, China
Venue:
Neural Networks
Year:
2007

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Abstract

In this paper, we investigate the existence and stability of the equilibrium point of Cohen-Grossberg neural networks with time-varying delays. Under easily verified conditions, exponential stability is obtained when the delay is finite, while asymptotic stability is obtained when the delay is infinite. Moreover, the stability obtained is robust. The only condition for the delay term is continuity. The results obtained here improve and extend to those in the literature.