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Exponential synchronization in complex-variable network with distributed delays via intermittent control

Author

Listed:
  • Sulan He

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China)

  • Guisheng Yi

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China)

  • Zhaoyan Wu

    (College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi Province 330022, P. R. China)

Abstract

In this paper, exponential synchronization in complex-variable network with distributed delays is investigated. By utilizing intermittent control scheme, some effective controllers are designed. Based on the Lyapunov function method and mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.

Suggested Citation

  • Sulan He & Guisheng Yi & Zhaoyan Wu, 2017. "Exponential synchronization in complex-variable network with distributed delays via intermittent control," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(07), pages 1-13, July.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:07:n:s0129183117500899
    DOI: 10.1142/S0129183117500899
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