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Stochastic mean square exponential synchronisation of time-varying complex dynamical networks via pinning control

Author

Listed:
  • Xin Wang
  • Xinzhi Liu
  • Kun She
  • Shouming Zhong
  • Kaibo Shi

Abstract

This paper investigates the problem of stochastic mean square exponential synchronisation of complex dynamical networks with time-varying delay via pinning control. By applying the Lyapunov method and stochastic analysis, criteria on mean square exponential synchronisation are established under linear feedback pinning control and adaptive feedback pinning control, which depend on the time-varying delay and stochastic perturbation. These results complement and improve the previously known results. Two numerical examples are given to illustrate the effectiveness and correctness of the derived theoretical results.

Suggested Citation

  • Xin Wang & Xinzhi Liu & Kun She & Shouming Zhong & Kaibo Shi, 2017. "Stochastic mean square exponential synchronisation of time-varying complex dynamical networks via pinning control," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(11), pages 2282-2290, August.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2282-2290
    DOI: 10.1080/00207721.2017.1316429
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