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Research on outer synchronization between uncertain time-varying networks with different node number

Author

Listed:
  • Li, Chengren
  • Lü, Ling
  • Yang, Yiming
  • Zhou, Shuang
  • Hong, Yixuan

Abstract

We research outer synchronization between uncertain time-varying networks with different node number. Based on the Lyapunov theorem, some new sufficient synchronization criteria are proposed. Further, we design the adaptive laws of the time-varying coupling matrix element and the adjustment parameter. And the designed controller can ensure that outer synchronization between uncertain time-varying networks with different node number can be achieved perfectly. At last, numerical examples are illustrated to demonstrate the efficiency of the proposed scheme.

Suggested Citation

  • Li, Chengren & Lü, Ling & Yang, Yiming & Zhou, Shuang & Hong, Yixuan, 2018. "Research on outer synchronization between uncertain time-varying networks with different node number," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2301-2309.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:2301-2309
    DOI: 10.1016/j.physa.2017.11.147
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    Citations

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    Cited by:

    1. Lü, Ling & Wei, Qingtao & Jia, Hao & Tian, Shuo & Xu, Zhao & Zhao, Lina & Xu, Zhichao & Xu, Xianying, 2019. "Parameter identification and synchronization between uncertain delay networks based on the coupling technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Sun, Yanqin & Wu, Huaiyu & Chen, Zhihuan & Zheng, Xiujuan & Chen, Yang, 2021. "Outer synchronization of two different multi-links complex networks by chattering-free control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    3. Chai, Yuan & Xu, Li & Zhang, Hudong, 2021. "Interchangeable outer synchronization of community networks with two spatiotemporal clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    4. Lü, Ling & Ge, Lianjun & Gao, Liyu & Han, Changhui & Li, Chengren, 2019. "Synchronization transmission of spiral wave and turbulence in uncertain time-delay neuronal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 64-71.
    5. Lü, Ling & Xu, Yuqing & Li, Ying & Li, Gang & Li, Chengren & Chen, Liansong, 2019. "Synchronization transmission of laser pattern signals between uncertain networks constructed by Gibbs laser spatial expanded models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 352-361.
    6. Yanjie Ji & Zhaoyan Wu, 2021. "Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control," Mathematics, MDPI, vol. 9(17), pages 1-10, September.
    7. Lü, Ling & Xu, Yuqing & Chen, Liansong & Li, Chengren, 2019. "Exponential synchronization of uncertain networks with the switching topology based on sliding mode technology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 121-130.

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