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Projective synchronization via adaptive pinning control for fractional-order complex network with time-varying coupling strength

Author

Listed:
  • Darui Zhu

    (School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, P. R. China†School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China)

  • Rui Wang

    (School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, P. R. China)

  • Chongxin Liu

    (#x2020;School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, P. R. China)

  • Jiandong Duan

    (School of Automation and Information Engineering, Xi’an University of Technology, Xi’an 710048, P. R. China)

Abstract

This paper presents an adaptive projective pinning control method for fractional-order complex network. First, based on theories of complex network and fractional calculus, some preliminaries of mathematics are given. Then, an analysis is conducted on the adaptive projective pinning control theory for fractional-order complex network. Based on the projective synchronization control method and the combined adaptive pinning feedback control method, suitable projection synchronization scale factor, adaptive feedback controller and the node selection algorithm are designed to illustrate the synchronization for fractional-order hyperchaotic complex network. Simulation results show that all nodes are stabilized to equilibrium point. Theoretical analysis and simulation results demonstrate that the designed adaptive projective pinning controllers are efficient.

Suggested Citation

  • Darui Zhu & Rui Wang & Chongxin Liu & Jiandong Duan, 2019. "Projective synchronization via adaptive pinning control for fractional-order complex network with time-varying coupling strength," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(07), pages 1-12, July.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:07:n:s0129183119400138
    DOI: 10.1142/S0129183119400138
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