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Outer synchronization of complex networks with internal delay and coupling delay via aperiodically intermittent pinning control

Author

Listed:
  • Chuan Zhang

    (Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China)

  • Xingyuan Wang

    (Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China)

  • Chunpeng Wang

    (Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China)

  • Zhiqiu Xia

    (Department of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning Province 116023, P. R. China)

Abstract

This paper concerns the outer synchronization problem between two complex delayed networks via the method of aperiodically intermittent pinning control. Apart from previous works, internal delay and coupling delay are both involved in this model, and the designed intermittent controllers can be aperiodic. The main work in this paper can be summarized as follows: First, two cases of aperiodically intermittent control with constant gain and adaptive gain are implemented, respectively. The intermittent control and pinning control are combined to reduce consumptions further. Then, based on the Lyapunov stability theory, synchronization protocols are given by strict derivation. Especially, the designed controllers are indeed simple and valid in application of theory to practice. Finally, numerical examples put the proposed control methods to the test.

Suggested Citation

  • Chuan Zhang & Xingyuan Wang & Chunpeng Wang & Zhiqiu Xia, 2017. "Outer synchronization of complex networks with internal delay and coupling delay via aperiodically intermittent pinning control," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(08), pages 1-18, August.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:08:n:s012918311750108x
    DOI: 10.1142/S012918311750108X
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    Citations

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    Cited by:

    1. Zheng, Song & Yuan, Liguo, 2019. "Nonperiodically intermittent pinning synchronization of complex-valued complex networks with non-derivative and derivative coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 587-605.
    2. Weiwei Zhang & Jinde Cao & Dingyuan Chen & Ahmed Alsaedi, 2019. "Out Lag Synchronization of Fractional Order Delayed Complex Networks with Coupling Delay via Pinning Control," Complexity, Hindawi, vol. 2019, pages 1-7, August.
    3. Zhang, Chuan & Wang, Xingyuan & Luo, Chao & Li, Junqiu & Wang, Chunpeng, 2018. "Robust outer synchronization between two nonlinear complex networks with parametric disturbances and mixed time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 251-264.

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