Boundary Exponential Stabilization for a Class of Coupled Reaction-Diffusion Equations with State Delay

被引：0
|
作者：
Abdelhadi Abta
Salahaddine Boutayeb
机构：
[1] Cadi Ayyad University,Department of Mathematics and Computer Science, Poly
来源：
Journal of Dynamical and Control Systems | 2022年 / 28卷
关键词：
Boundary control; Exponential stabilization; Coupled PDEs; Reaction-diffusion equations; Time-delayed systems; 34K20; 34K25; 35K57; 93C20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A class of coupled parabolic PDEs with time delay is considered. We treat the problem of boundary exponential stabilization where the goal is to present a state feedback law with actuation on only one end of the domain which provide the exponential stability of the closed-loop system. We consider both the Dirichlet and Neumann boundary conditions. The corresponding proposed control law is given in explicit form. Numerical simulations are carried out to show the effectiveness of the obtained results.
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页码：829 / 850
页数：21
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