Boundary Control for a Class of Reaction-diffusion Systems

被引：0

作者：

Yuan-Chao Si ^{[1
,2
]}

Cheng-Kang Xie ^{[1
]}

Na Zhao ^{[1
]}

机构：

[1] School of Mathematics and System Science, Southwest University

[2] School of Mathematics and System Science, Guizhou University

来源：

International Journal of Automation and Computing | 2018年 / 15卷 / 01期

关键词：

Stability; reaction-diffusion system; boundary control; backstepping; partial differential equation;

D O I：

暂无

中图分类号：

O231 [控制论（控制论的数学理论）];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

Boundary control for a class of partial integro-differential systems with space and time dependent coefficients is considered. A control law is derived via the partial differential equation(PDE) backstepping. The existence of kernel equations is proved.Exponential stability of the closed-loop system is achieved. Simulation results are presented through figures.

引用

页码：94 / 102

页数：9

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