Finite-time internal stabilization of a linear 1-D transport equation

被引：15

作者：

Zhang, Christophe ^{[1
,2
]}

机构：

[1] Sorbonne Univ, Lab Jacques Louis Lions, Boite Courrier 187, F-75252 Paris 05, France

[2] Univ Paris Diderot, SPC, CNRS, INRIA,Equipe Cage, Paris, France

来源：

SYSTEMS & CONTROL LETTERS | 2019年 / 133卷

关键词：

Transport equation; Feedback stabilization; Internal control; Finite-time; Backstepping; Fredholm transformations; BOUNDARY STABILIZATION; FEEDBACK STABILIZATION; NULL CONTROLLABILITY; RAPID STABILIZATION; CANONICAL-FORMS; SYSTEMS; DIMENSION; TANK;

D O I：

10.1016/j.sysconle.2019.104529

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider a 1-D linear transport equation on the interval (0, L), with an internal scalar control. We prove that if the system is controllable in a periodic Sobolev space of order greater than 1, then the system can be stabilized in finite time, and we give an explicit feedback law. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：8

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