Small-time global stabilization of the viscous Burgers equation with three scalar controls

被引：13
|
作者：
Coron, Jean-Michel [1 ]
Xiang, Shengquan [2 ]
机构：
[1] Sorbonne Univ, Univ Paris Diderot SPC, Lab Jacques Louis Lions, CNRS,INRIA,Equipe CAGE, F-75005 Paris, France
[2] Ecole Polytech Fed Lausanne, Batiment Math,Stn 8, CH-1015 Lausanne, Switzerland
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2021年 / 151卷
关键词：
Burgers equations; Time-varying feedback laws; Small-time global stabilization; Backstepping; NAVIER-STOKES EQUATIONS; DE-VRIES EQUATION; FEEDBACK BOUNDARY STABILIZATION; EXACT CONTROLLABILITY; NULL CONTROLLABILITY; FINITE-TIME; UNIFORM CONTROLLABILITY; CONSERVATION-LAWS; KDV EQUATION; SYSTEM;
D O I：
10.1016/j.matpur.2021.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct explicit time-varying feedback laws leading to the global (null) stabilization in small time of the viscous Burgers equation with three scalar controls. Our feedback laws use first the quadratic transport term to achieve the small-time global approximate stabilization and then the linear viscous term to get the small-time local stabilization. (C) 2021 Elsevier Masson SAS. All rights reserved.
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页码：212 / 256
页数：45
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