Global Stability of Neural Networks with Time-Varying Delays

Authors:
Yijing Wang;Zhiqiang Zuo
Affiliations:
School of Electrical Engineering & Automation, Tianjin University, Tianjin, 300072, China;School of Electrical Engineering & Automation, Tianjin University, Tianjin, 300072, China
Venue:
ICANNGA '07 Proceedings of the 8th international conference on Adaptive and Natural Computing Algorithms, Part II
Year:
2007

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Abstract

This paper deals with the problem of global stability for a class of neural networks with time-varying delays. A new sufficient condition for global stability is proposed by using some slack matrix variables to express the relationship between the system matrices. The restriction on the derivative of the delay function to be less than unit is removed. A numerical example shows that the result obtained in this paper improves the upper bound of the delay over some existing ones.