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Cluster lag synchronisation in community networks via linear pinning control with local intermittent effect

Author

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  • Wu, Zhaoyan
  • Fu, Xinchu

Abstract

In this article, cluster lag synchronisation in community networks without or with delay is considered. Several linear pinning controllers have been designed to achieve the synchronisation. In the designed controllers, the feedback control item is designed with intermittent effect. Both community networks with identical nodes and non-identical nodes are investigated. Based on the Lyapunov stability theory, several synchronisation criteria are derived. Some numerical examples are provided to illustrate the effectiveness of the obtained theoretical results.

Suggested Citation

  • Wu, Zhaoyan & Fu, Xinchu, 2014. "Cluster lag synchronisation in community networks via linear pinning control with local intermittent effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 487-498.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:487-498
    DOI: 10.1016/j.physa.2013.09.006
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    Citations

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    Cited by:

    1. Wu, Jianshe & Zhang, Long & Li, Yong & Jiao, Yang, 2016. "Partition signed social networks via clustering dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 568-582.
    2. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2015. "Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 99-110.
    3. Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.
    4. Fu, Chenbo & Wang, Jinbao & Xiang, Yun & Wu, Zhefu & Yu, Li & Xuan, Qi, 2017. "Pinning control of clustered complex networks with different size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 184-192.
    5. Jianbao Zhang & Yi Wang & Zhongjun Ma & Jianlong Qiu & Fawaz Alsaadi, 2018. "Intermittent Control for Cluster-Delay Synchronization in Directed Networks," Complexity, Hindawi, vol. 2018, pages 1-9, February.
    6. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.

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