Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays

IEEE Transactions on Neural Networks
Quanxin Zhu, Jinde Cao

Abstract

This paper is concerned with the problem of exponential stability for a class of markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays and known or unknown parameters. The jumping parameters are determined by a continuous-time, discrete-state Markov chain, and the mixed time delays under consideration comprise both time-varying delays and continuously distributed delays. To the best of the authors' knowledge, till now, the exponential stability problem for this class of generalized neural networks has not yet been solved since continuously distributed delays are considered in this paper. The main objective of this paper is to fill this gap. By constructing a novel Lyapunov-Krasovskii functional, and using some new approaches and techniques, several novel sufficient conditions are obtained to ensure the exponential stability of the trivial solution in the mean square. The results presented in this paper generalize and improve many known results. Finally, two numerical examples and their simulations are given to show the effectiveness of the theoretical results.

References

Aug 24, 2007·Neural Networks : the Official Journal of the International Neural Network Society·He HuangYuzhong Qu

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Citations

Aug 16, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Xin WangLing Chen
Nov 6, 2012·Neural Networks : the Official Journal of the International Neural Network Society·He HuangXiaoping Chen
Oct 9, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Wenbing ZhangXiaotai Wu
Dec 30, 2014·IEEE Transactions on Neural Networks and Learning Systems·Wenbing ZhangQingying Miao
Jun 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Tingwen HuangJanusz A Starzyk
Aug 17, 2011·IEEE Transactions on Neural Networks·Zheng-Guang WuJian Chu
Mar 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Quanxin Zhu, Jinde Cao
Jan 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Xinsong YangJianquan Lu
Sep 15, 2015·Computational Intelligence and Neuroscience·YaJun Li, Zhaowen Huang
Apr 4, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Ruya Samli
Aug 11, 2015·IEEE Transactions on Neural Networks and Learning Systems·Xiao LiangRuili Wang
Sep 19, 2016·Neural Networks : the Official Journal of the International Neural Network Society·Zhihong LiQuanxin Zhu
Jan 6, 2016·IEEE Transactions on Neural Networks and Learning Systems·Huaguang ZhangHongjing Liang
Jan 24, 2017·IEEE Transactions on Neural Networks and Learning Systems·Ruoxia Li, Jinde Cao
May 18, 2021·Neural Networks : the Official Journal of the International Neural Network Society·Yuanchu ShenShiping Wen

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