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Pinning Synchronization in Heterogeneous Networks of Harmonic Oscillators

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Neural Information Processing (ICONIP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10636))

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Abstract

In this paper, a networked heterogeneous system coupled of multiple nonidentical harmonic oscillators is investigated. The synchronization problem for the networked heterogeneous system is studied. To synchronize the heterogeneous network, a leader is introduced. Based on the pinning control, a distributed control input is proposed to synchronize the heterogeneous network to the leader. By Lyapunov functional method and matrix theory, sufficient conditions for guaranteeing quasi-synchronization between the heterogeneous network and the leader are obtained. The theoretical results show that all the heterogeneous oscillators can tend eventually to the leader oscillator within a bounded error. Finally, numerical simulations are provided to verify the effectiveness of the theoretical results.

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Acknowledgments

This work was jointly supported by the National Natural Science Foundation of China under Grant no. 61304169, the Natural Science Foundation of Jiangsu Province of China under Grant no. BK20130857, the Postdoctoral Science Foundation of China under Grant no. 2014M551629, the Postdoctoral Science Foundation of Jiangsu Province of China under Grant no. 1402086C, and the Jiangsu Government Scholarship for Overseas Studies.

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Authors and Affiliations

  1. College of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

    Zhengxin Wang & Jingbo Fan

  2. Department of Electrical, Computer, and Biomedical Engineering, University of Rhode Island, Kingston, RI, 02881, USA

    Zhengxin Wang, He Jiang & Haibo He

Authors
  1. Zhengxin Wang
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  2. Jingbo Fan
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  3. He Jiang
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  4. Haibo He
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Corresponding author

Correspondence to Zhengxin Wang .

Editor information

Editors and Affiliations

  1. Guangdong University of Technology, Guangzhou, China

    Derong Liu

  2. Guangdong University of Technology, Guangzhou, China

    Shengli Xie

  3. South China University of Technology, Guangzhou, China

    Yuanqing Li

  4. Institute of Automation, Chinese Academy of Sciences, Beijing, China

    Dongbin Zhao

  5. King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

    El-Sayed M. El-Alfy

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Wang, Z., Fan, J., Jiang, H., He, H. (2017). Pinning Synchronization in Heterogeneous Networks of Harmonic Oscillators. In: Liu, D., Xie, S., Li, Y., Zhao, D., El-Alfy, ES. (eds) Neural Information Processing. ICONIP 2017. Lecture Notes in Computer Science(), vol 10636. Springer, Cham. https://doi.org/10.1007/978-3-319-70090-8_85

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  • DOI: https://doi.org/10.1007/978-3-319-70090-8_85

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70089-2

  • Online ISBN: 978-3-319-70090-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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