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Mean square H∞ synchronization of coupled stochastic partial differential systems

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  • Wang, Liming
  • Wu, Kai-Ning
  • Zhu, Ya-Nan
  • Ding, Xiaohua

Abstract

In this paper, the criterion and control are considered for the mean square H∞ synchronization of coupled stochastic partial differential systems (SPDSs). Based on the integral Lyapunov-like functional and by virtue of completing squares technique, a sufficient criterion is provided to guarantee the mean square H∞ synchronization. The effect of spatial domain on the mean square H∞ synchronization is also embodied in this criterion. When the coupled SPDSs cannot achieve the mean square H∞ synchronization, the adaptive controllers are adopted for the coupled SPDSs, and the effectiveness of the adaptive controllers is verified via a rigorous mathematical analysis. When the number of the nodes in the complex networks is large, pinning control is a natural choice. The adaptive pinning control strategy is also presented and a criterion is obtained which guarantees the mean square H∞ synchronization of coupled SPDSs. Numerical experiments are also given to illustrate the correctness of our results.

Suggested Citation

  • Wang, Liming & Wu, Kai-Ning & Zhu, Ya-Nan & Ding, Xiaohua, 2016. "Mean square H∞ synchronization of coupled stochastic partial differential systems," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 386-393.
    • Handle: RePEc:eee:apmaco:v:275:y:2016:i:c:p:386-393
    DOI: 10.1016/j.amc.2015.11.075
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    References listed on IDEAS

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