Multistability of recurrent neural networks with time-varying delays and the piecewise linear activation function

IEEE Transactions on Neural Networks
Zhigang ZengWei Xing Zheng

Abstract

In this brief, stability of multiple equilibria of recurrent neural networks with time-varying delays and the piecewise linear activation function is studied. A sufficient condition is obtained to ensure that n-neuron recurrent neural networks can have (4k - 1)(n) equilibrium points and (2k)(n) of them are locally exponentially stable. This condition improves and extends the existing stability results in the literature. Simulation results are also discussed in one illustrative example.

References

Mar 30, 2005·Neural Networks : the Official Journal of the International Neural Network Society·Sanqing Hu, Derong Liu
May 10, 2008·IEEE Transactions on Neural Networks·Huaguang ZhangDerong Liu
Nov 8, 2008·IEEE Transactions on Neural Networks·Huaguang ZhangDerong Liu
Aug 28, 2009·IEEE Transactions on Neural Networks·Lili WangTianping Chen
Nov 4, 2009·IEEE Transactions on Neural Networks·Lan ZouWeinian Zhang

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Citations

Mar 4, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Lili Wang, Tianping Chen
Mar 22, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Mauro Di MarcoLuca Pancioni
Oct 6, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Ailong Wu, Zhigang Zeng
May 25, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Zuowei CaiXiaoyan Chen
Aug 19, 2015·IEEE Transactions on Cybernetics·Jin-Liang WangShun-Yan Ren
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Zhigang Zeng, Wei Xing Zheng
May 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Xiaolin Hu, Jun Wang
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Zhenyuan GuoZheng Yan
Nov 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Lili Wang, Tianping Chen
Dec 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Ailong Wu, Zhigang Zeng
Feb 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Zhigang Zeng, Wei Xing Zheng
Sep 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Mauro Di MarcoLuca Pancioni
Sep 9, 2011·IEEE Transactions on Neural Networks·Xiaobing Nie, Jinde Cao
Apr 22, 2015·IEEE Transactions on Neural Networks and Learning Systems·Tong WangJianbin Qiu
Apr 22, 2015·IEEE Transactions on Cybernetics·Yan-Jun LiuDong-Juan Li
Aug 16, 2015·IEEE Transactions on Neural Networks and Learning Systems·Xiaobing Nie, Wei Xing Zheng
Apr 4, 2015·IEEE Transactions on Cybernetics·Dapeng TaoXuelong Li
Feb 24, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Xiaobing Nie, Wei Xing Zheng
May 3, 2016·Neural Networks : the Official Journal of the International Neural Network Society·Peng LiuJun Wang
Apr 22, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Xin WangJunjian Huang
May 20, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Wu-Hua ChenXiaomei Lu
Jun 11, 2017·IEEE Transactions on Neural Networks and Learning Systems·Xiaofeng ChenYurong Liu

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