Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition

被引：36

作者：

Glass, O. ^{[1
]}

Guerrero, S. ^{[2
]}

机构：

[1] Univ Paris 09, CEREMADE, UMR 7534, F-75016 Paris, France

[2] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

来源：

SYSTEMS & CONTROL LETTERS | 2010年 / 59卷 / 07期

关键词：

Korteweg-de Vries equation; Controllability; Boundary conditions; KDV EQUATION; DOMAIN; STABILIZABILITY;

D O I：

10.1016/j.sysconle.2010.05.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider the controllability of the Korteweg-de Vries equation in a bounded interval when the control operates via the right Dirichlet boundary condition, while the left Dirichlet and the right Neumann boundary conditions are kept to zero. We prove that the linearized equation is controllable if and only if the length of the spatial domain does not belong to some countable critical set. When the length is not critical, we prove the local exact controllability of the nonlinear equation. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：390 / 395

页数：6

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