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|Title:||Synchronization of stochastic reaction-diffusion systems via boundary control|
|Citation:||Nonlinear Dynamics, 2018; 94(3):1763-1773|
|Publisher:||Kluwer Academic Publishers|
|Kai-Ning Wu, Jian Wang, Cheng-Chew Lim|
|Abstract:||This paper studies the problem of mean square asymptotical synchronization and H∞ synchro- nization for coupled stochastic reaction–diffusion sys- tems (SRDSs) via boundary control. Based on the deduced synchronization error dynamic, we design boundary controllers to achieve mean square asymptot- ical synchronization. By virtue of Lyapunov functional method and Wirtinger’s inequality, sufficient condi- tions are obtained for ensuring mean square asymptoti- cal synchronization. When coupled SRDSs are subject to external disturbance, mean square H∞ synchroniza- tion is investigated and corresponding criterion is pre- sented under a designed boundary controller. In addi- tion to focusing on systems with Neumann bound- ary conditions, we also briefly study coupled SRDSs with mixed boundary conditions and sufficient condi- tions are provided to achieve the desired performance. Numerical examples are used to verify the effectiveness of our theoretical results.|
|Keywords:||Synchronization; Stochastic reaction–diffusion systems; H∞ synchronization; boundary control|
|Rights:||© Springer Nature B.V. 2018.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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