Cluster synchronization in directed networks via intermittent pinning control

IEEE Transactions on Neural Networks
Xiwei Liu, Tianping Chen

Abstract

In this paper, we investigate the cluster synchronization problem for linearly coupled networks, which can be recurrently connected neural networks, cellular neural networks, Hodgkin-Huxley models, Lorenz chaotic oscillators, etc., by adding some simple intermittent pinning controls. We assume the nodes in the network to be identical and the coupling matrix to be asymmetric. Some sufficient conditions to guarantee global cluster synchronization are presented. Furthermore, a centralized adaptive intermittent control is introduced and theoretical analysis is provided. Then, by applying the adaptive approach on the diagonal submatrices of the asymmetric coupling matrix, we also get the corresponding cluster synchronization result. Finally, numerical simulations are given to verify the theoretical results.

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Citations

Feb 2, 2016·Neural Networks : the Official Journal of the International Neural Network Society·Lulu LiJianquan Lu
Feb 29, 2016·Neural Networks : the Official Journal of the International Neural Network Society·Dawei GongKe Xu
Mar 21, 2015·IEEE Transactions on Neural Networks and Learning Systems·Deyuan MengJunping Du
Dec 23, 2014·IEEE Transactions on Neural Networks and Learning Systems·Xiwei Liu, Tianping Chen
Jan 13, 2015·IEEE Transactions on Neural Networks and Learning Systems·Xiwei Liu, Tianping Chen
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Deyuan MengFashan Yu
Oct 8, 2014·IEEE Transactions on Neural Networks and Learning Systems·Wenbing ZhangJian-An Fang
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Bo LiuTianping Chen
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Sung Jin Yoo
Sep 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Xiao-Zheng JinWei-Wei Che
Oct 10, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Ning Li, Jinde Cao
Feb 1, 2017·IEEE Transactions on Neural Networks and Learning Systems·Ze TangJianwen Feng
Jan 24, 2017·IEEE Transactions on Cybernetics·Jiahu QinYu Kang
Jan 24, 2017·IEEE Transactions on Cybernetics·Xiwei Liu, Tianping Chen
Aug 16, 2017·IEEE Transactions on Neural Networks and Learning Systems·Yi WangGuanrong Chen

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