4.5 Article

Mean square exponential stability of stochastic delayed Hopfield neural networks

Journal

PHYSICS LETTERS A
Volume 343, Issue 4, Pages 306-318

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2005.06.024

Keywords

stochastic Hopfield neural networks; discrete and continuously distributed delays; mean square exponential stability

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Stochastic effects to the stability property of Hopfield neural networks (HNN) with discrete and continuously distributed delay are considered. By using the method of variation parameter, inequality technique and stochastic analysis, the sufficient conditions to guarantee the mean square exponential stability of an equilibrium solution are given. Two examples are also given to demonstrate our results. (c) 2005 Elsevier B.V. All rights reserved.

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