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2013 Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays
Li Wan, Qinghua Zhou, Zhigang Zhou, Pei Wang
Abstr. Appl. Anal. 2013(SI55): 1-8 (2013). DOI: 10.1155/2013/384981

Abstract

This paper investigates dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. By employing the theory of stochastic functional differential equations and linear matrix inequality (LMI) approach, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.

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Li Wan. Qinghua Zhou. Zhigang Zhou. Pei Wang. "Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays." Abstr. Appl. Anal. 2013 (SI55) 1 - 8, 2013. https://doi.org/10.1155/2013/384981

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1273.34087
MathSciNet: MR3035286
Digital Object Identifier: 10.1155/2013/384981

Rights: Copyright © 2013 Hindawi

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