New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays
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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/).
KeywordsCellular neural network Exponential convergence Continuously distributed delay Leakage term
Mathematics Subject Classification34C25 34K13 34K25
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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