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Neural Processing Letters

, Volume 41, Issue 3, pp 421–433 | Cite as

New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays

  • Aiping Zhang
Article

Abstract

This paper discusses the issue of a class of cellular neural networks with continuously distributed delays in the leakage terms. By applying Lyapunov functional method and differential inequality techniques, without assuming the boundedness conditions on the activation functions, a new delay dependent sufficient condition is derived to ensure that all solutions of the networks converge exponentially to the zero point, which corrects some recent results of Xiong and Meng (Electron J Qual Theory Differ Equ, (10):1–12, 2013. http://www.math.u-szeged.hu/ejqtde/).

Keywords

Cellular neural network Exponential convergence Continuously distributed delay Leakage term 

Mathematics Subject Classification

34C25 34K13 34K25 

Notes

Acknowledgments

The author would like to express the sincere appreciation to the editor and reviewer for their helpful comments in improving the presentation and quality of the paper. In particular, the author expresses the sincere gratitude to Prof. Bingwen Liu for the helpful discussion when this revision work is carried out.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.School of ScienceHunan University of TechnologyZhuzhouPeople’s Republic of China

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