Open Access
2013 Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays
Qi Luo, Xinjie Miao, Qian Wei, Zhengxin Zhou
Abstr. Appl. Anal. 2013(SI38): 1-10 (2013). DOI: 10.1155/2013/325310

Abstract

This work is devoted to investigating the stability of impulsive cellular neural networks with time-varying and distributed delays. We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. The presented algebraic criteria are easily checked and do not require the differentiability of delays.

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Qi Luo. Xinjie Miao. Qian Wei. Zhengxin Zhou. "Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays." Abstr. Appl. Anal. 2013 (SI38) 1 - 10, 2013. https://doi.org/10.1155/2013/325310

Information

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

zbMATH: 1279.34092
MathSciNet: MR3055939
Digital Object Identifier: 10.1155/2013/325310

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI38 • 2013
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