Mean square H∞ synchronization of coupled stochastic partial differential systems

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

Applied Mathematics and Computation, 2016, vol. 275, issue C, 386-393

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.

Keywords: Stochastic; Partial differential systems; H∞ synchronization; Adaptive; Pinning control (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:386-393

DOI: 10.1016/j.amc.2015.11.075

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