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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 278-280A New Criterion for the Global Exponential...

A New Criterion for the Global Exponential Stability of Neural Networks with Time Delays

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Abstract:

In this paper, we study the neural networks with time delays. By using of the Homeomorphism theory and employing an inequality, constructing a new Lyapunov-Krasovskill functional, we give a new sufficient condition, which is independent of the delays, guarantying the existence, uniqueness of the equilibrium point and it’s global exponential stable. Meanwhile, the incorrectness of calculation in the previous Refs is pointed out. We therefore improve the previous results.

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Periodical:

Applied Mechanics and Materials (Volumes 278-280)

Pages:

1353-1358

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.278-280.1353

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Online since:

January 2013

Authors:

Kai Mao, Bao Shi

Keywords:

GES, Homeomorphism, Lyapunov-Krasovskill Functional, Neural Network (NN), Time Delay

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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