Synchronization of stochastic reaction-diffusion systems via boundary control

被引：18
|
作者：
Wu, Kai-Ning [1 ]
Wang, Jian [1 ]
Lim, Cheng-Chew [2 ]
机构：
[1] Harbin Inst Technol Weihai, Dept Math, Weihai 264209, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源：
NONLINEAR DYNAMICS | 2018年 / 94卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
Synchronization; Stochastic reaction-diffusion systems; H-infinity synchronization; Boundary control; H-INFINITY SYNCHRONIZATION; PARTIAL-DIFFERENTIAL SYSTEMS; COUPLED NEURAL-NETWORKS; COMPLEX DYNAMICAL NETWORKS; TIME-VARYING DELAYS; ADAPTIVE SYNCHRONIZATION; NEUTRAL-TYPE; STABILIZATION; STRATEGIES;
D O I：
10.1007/s11071-018-4455-z
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper studies the problem of mean square asymptotical synchronization and H8 synchronization for coupled stochastic reaction-diffusion systems (SRDSs) via boundary control. Based on the deduced synchronization error dynamic, we design boundary controllers to achievemean square asymptotical synchronization. By virtue of Lyapunov functional method and Wirtinger's inequality, sufficient conditions are obtained for ensuringmean square asymptotical synchronization. When coupled SRDSs are subject to external disturbance, mean square H8 synchronization is investigated and corresponding criterion is presented under a designed boundary controller. In addition to focusing on systems with Neumann boundary conditions, we also briefly study coupled SRDSs with mixed boundary conditions and sufficient conditions are provided to achieve the desired performance. Numerical examples are used to verify the effectiveness of our theoretical results.
引用
收藏
页码：1763 / 1773
页数：11
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