Boundary stabilization of linear elastodynamic system.: A new Approach

被引：5

作者：

Bey, R

Heminna, A

Lohéac, JP

机构：

[1] Ecole Cent Lyon, DMI, CNRS UMR 5585, F-69131 Ecully, France

[2] USTHB, Inst Math, Alger 16111, Algeria

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 330卷 / 07期

关键词：

D O I：

10.1016/S0764-4442(00)00198-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a new approach to obtain the boundary stabilization of isotropic linear elastodynamic system by a "natural" feedback; this method lends to weak geometrical conditions. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

收藏

页码：563 / 566

页数：4

相关论文

共 9 条

[1] Boundary observability, controllability and stabilization of linear elastodynamic systems [J].

Alabau, F ;

Komornik, V .

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (05) :519-524

[2]

BEY R, 1999, 5585 CNRS UMR

[3] Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity [J].

Horn, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (01) :126-150

[4]

Komornik V., 1994, EXACT CONTROLABILITY

[5] BOUNDARY STABILIZATION OF LINEAR ELASTODYNAMIC SYSTEMS [J].

LAGNESE, J .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1983, 21 (06) :968-984

[6] UNIFORM ASYMPTOTIC ENERGY ESTIMATES FOR SOLUTIONS OF THE EQUATIONS OF DYNAMIC PLANE ELASTICITY WITH NONLINEAR DISSIPATION AT THE BOUNDARY [J].

LAGNESE, JE .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (01) :35-54

[7] UNIFORM EXPONENTIAL ENERGY DECAY OF WAVE-EQUATIONS IN A BOUNDED REGION WITH L2(0, INFINITY, L2(GAMMA))-FEEDBACK CONTROL IN THE DIRICHLET BOUNDARY-CONDITIONS [J].

LASIECKA, I ;

TRIGGIANI, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 66 (03) :340-390

[8]

Lemrabet K., 1987, THESIS USTHB ALGER

[9]

VALID R, 1977, MECANIQUE MILIEUX CO