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2013 Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks
Yanke Du, Yanlu Li, Rui Xu
J. Appl. Math. 2013: 1-12 (2013). DOI: 10.1155/2013/785141

Abstract

This paper is concerned with the stability of impulsive stochastic reaction-diffusion differential systems with mixed time delays. First, an equivalent relation between the solution of a stochastic reaction-diffusion differential system with time delays and impulsive effects and that of corresponding system without impulses is established. Then, some stability criteria for the stochastic reaction-diffusion differential system with time delays and impulsive effects are derived. Finally, the stability criteria are applied to impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed time delays, and sufficient conditions are obtained for the exponential p-stability of the zero solution to the neural networks. An example is given to illustrate the effectiveness of our theoretical results. The systems we studied in this paper are more general, and some existing results are improved and extended.

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Yanke Du. Yanlu Li. Rui Xu. "Stability Analysis for Impulsive Stochastic Reaction-Diffusion Differential System and Its Application to Neural Networks." J. Appl. Math. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/785141

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950867
MathSciNet: MR3094905
Digital Object Identifier: 10.1155/2013/785141

Rights: Copyright © 2013 Hindawi

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