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Cluster synchronization of linearly coupled complex networks via linear and adaptive feedback pinning controls

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Abstract

Cluster synchronization is investigated for complex networks via linear and adaptive feedback control strategies. It is shown that two different controllers can be designed to achieve the cluster synchronization. Unlike most existing papers, we need not nondelayed and delayed coupling matrices to be symmetric or irreducible. Finally, two examples are given to illustrate the effectiveness of the proposed methods.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61273015), the National Natural Science Foundation of China (61603272 and 11526149), the Youth Fund Project of Tianjin Natural Science Foundation (Grant No. 16JCQNJC03900).

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, People’s Republic of China

    Lin Shi

  2. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Hong Zhu

  3. School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Shouming Zhong

  4. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, People’s Republic of China

    Kaibo Shi

  5. School of Science, Hubei University for Nationalities, Enshi Hubei, 4450000, People’s Republic of China

    Jun Cheng

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  1. Lin Shi
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  2. Hong Zhu
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  3. Shouming Zhong
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  4. Kaibo Shi
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  5. Jun Cheng
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Correspondence to Lin Shi.

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Shi, L., Zhu, H., Zhong, S. et al. Cluster synchronization of linearly coupled complex networks via linear and adaptive feedback pinning controls. Nonlinear Dyn 88, 859–870 (2017). https://doi.org/10.1007/s11071-016-3280-5

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  • DOI: https://doi.org/10.1007/s11071-016-3280-5

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