Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.

Rabah Bey; Amar Heminna; Jean-Pierre Lohéac

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 2, page 417-441
  • ISSN: 1139-1138

Abstract

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We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a natural feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spacial domain can be the difference of two star-shaped sets.

How to cite

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Bey, Rabah, Heminna, Amar, and Lohéac, Jean-Pierre. "Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.." Revista Matemática Complutense 16.2 (2003): 417-441. <http://eudml.org/doc/44506>.

@article{Bey2003,
abstract = {We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a natural feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spacial domain can be the difference of two star-shaped sets.},
author = {Bey, Rabah, Heminna, Amar, Lohéac, Jean-Pierre},
journal = {Revista Matemática Complutense},
keywords = {Mecánica del sólido deformable; Elastodinámica; Teoría de sistemas; Estabilización; Integrales de contorno; Problema de Dirichlet; boundary stabilization; elastodynamic linear system},
language = {eng},
number = {2},
pages = {417-441},
title = {Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.},
url = {http://eudml.org/doc/44506},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Bey, Rabah
AU - Heminna, Amar
AU - Lohéac, Jean-Pierre
TI - Boundary stabilization of the linear elastodinamic system by a Lyapunov-type method.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 2
SP - 417
EP - 441
AB - We propose a direct approach to obtain the boundary stabilization of the isotropic linear elastodynamic system by a natural feedback; this method uses local coordinates in the expression of boundary integrals as a main tool. It leads to an explicit decay rate of the energy function and requires weak geometrical conditions: for example, the spacial domain can be the difference of two star-shaped sets.
LA - eng
KW - Mecánica del sólido deformable; Elastodinámica; Teoría de sistemas; Estabilización; Integrales de contorno; Problema de Dirichlet; boundary stabilization; elastodynamic linear system
UR - http://eudml.org/doc/44506
ER -

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