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2014 Mean-Square Exponential Stability Analysis of Stochastic Neural Networks with Time-Varying Delays via Fixed Point Method
Tianxiang Yao, Xianghong Lai
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/510358

Abstract

This work addresses the stability study for stochastic cellular neural networks with time-varying delays. By utilizing the new research technique of the fixed point theory, we find some new and concise sufficient conditions ensuring the existence and uniqueness as well as mean-square global exponential stability of the solution. The presented algebraic stability criteria are easily checked and do not require the differentiability of delays. The paper is finally ended with an example to show the effectiveness of the obtained results.

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Tianxiang Yao. Xianghong Lai. "Mean-Square Exponential Stability Analysis of Stochastic Neural Networks with Time-Varying Delays via Fixed Point Method." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/510358

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010660
MathSciNet: MR3193625
Digital Object Identifier: 10.1155/2014/510358

Rights: Copyright © 2014 Hindawi

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