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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 787Dynamical Behaviors of Stochastic...

Dynamical Behaviors of Stochastic Reaction-Diffusion Hopfield Neural Networks

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Abstract:

Dynamical behaviors of stochastic reaction-diffusion Hopfield neural networks with delays are investigated. By employing Lyapunov method, Hardy-Poincare inequality and linear matrix inequality, some novel criteria on ultimate boundedness and asymptotic stability are obtained. The sufficient criteria depend on the diffusion effects and are independent of the magnitude of the delays. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.

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Advanced Materials Researches, Engineering and Manufacturing Technologies in Industry

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Periodical:

Advanced Materials Research (Volume 787)

Pages:

921-925

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.787.921

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Online since:

September 2013

Authors:

Qing Hua Zhou, Li Wan

Keywords:

Asymptotic Stability, Hopfield Neural Networks, Reaction-Diffusion

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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