Continuous and Discrete Halanay Delayed Inequalities and Their Applications in Stability of Neural Networks

Authors:
Jinhua Huang;Jiqing Liu
Affiliations:
Department of Electric and Electronic Engineering, Wuhan Institute of Shipbuilding Technology, Wuhan, Hubei, China 430050;Department of Electric and Electronic Engineering, Wuhan Institute of Shipbuilding Technology, Wuhan, Hubei, China 430050
Venue:
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Year:
2009

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Abstract

In this paper, a slight generalization of the celebrated continuous Halanay inequality is developed, a discrete analogue of the continuous Halanay inequality is proved. Using continuous and discrete Halanay time-delayed inequalities, we derived some sufficient conditions for the global exponential (asymptotic) stability of equilibrium point of neural networks.