A spectral study of the boundary controllability of the linear 2-D wave equation in a rectangle

被引：8

作者：

Micu, Sorin ^{[2
]}

de Teresa, Luz ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, CU, Mexico City 04510, DF, Mexico

[2] Univ Craiova, Fac Matemat Si Informat, Craiova, Romania

来源：

ASYMPTOTIC ANALYSIS | 2010年 / 66卷 / 3-4期

关键词：

wave equation; control; Fourier expansion; biorthogonal; STABILIZATION; EXPONENTIALS; THEOREMS; SYSTEMS; PLATE; SETS;

D O I：

10.3233/ASY-2009-0963

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies the controllability properties of the linear 2-D wave equation in the rectangle Omega = (0, a) x (0, b). We consider two types of action, on an edge or on two adjacent edges of the boundary. Our analysis is based on Fourier expansion and explicit construction and evaluation of biorthogonal sequences. This method allows us to measure the magnitude of the control needed for each eigenfrequency. In both analyzed cases we give a Fourier characterization of the controllable spaces of initial data and we construct particular controls for them.

引用

页码：139 / 160

页数：22

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[3]

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