Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Mixed Time-Varying Delays

Authors:
Haijun Jiang;Xuehui Mei
Affiliations:
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

In this paper, we study the Cohen-Grossberg neural networks with mixed time-varying delays. By applying the Lyapunov functional method and combining with the inequality 3abc≤ a3+ b3+ c3(a,b,c 0) technique, a series of new and useful criteria on the existence of equilibrium point and its global asymptotical stability are established. The results obtained in this paper extend and generalize the corresponding results existing in previous literature.