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Finite-time outer synchronization between two complex dynamical networks with on–off coupling

Author

Listed:
  • Yan Dong

    (Department of Mathematics, Shanghai Maritime University, Shanghai 201306, P. R. China)

  • Junwei Chen

    (School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China)

Abstract

In this paper, the finite-time outer synchronization between two complex dynamical networks with on–off coupling is investigated. By using suitable on–off controllers, sufficient conditions for finite-time outer synchronization are derived based on the Lyapunov function and the finite-time differential inequality method. The theoretical results imply that the two networks will achieve finite-time outer synchronization for fixed on–off rate if the control coupling strength is large enough. Numerical simulations are given to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Yan Dong & Junwei Chen, 2015. "Finite-time outer synchronization between two complex dynamical networks with on–off coupling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(08), pages 1-13.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:08:n:s0129183115500953
    DOI: 10.1142/S0129183115500953
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