Stabilisation d'une poutre. Étude du taux optimal de décroissance de l'énergie élastique
Francis Conrad; Fatima-Zahra Saouri
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 7, page 567-595
- ISSN: 1292-8119
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topConrad, Francis, and Saouri, Fatima-Zahra. "Stabilisation d'une poutre. Étude du taux optimal de décroissance de l'énergie élastique." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 567-595. <http://eudml.org/doc/90635>.
@article{Conrad2010,
abstract = {
We study the stability of a flexible beam clamped at one end. A
mass is attached at the other end, where a control moment is
applied. The boundary control is proportional to the angular velocity
at the end. By spectral analysis, we prove that the optimal decay rate
of the energy is given by the spectrum of the generator of the
semigroup associated to the system.
},
author = {Conrad, Francis, Saouri, Fatima-Zahra},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Équation des poutres; contrôle frontière;
stabilisation uniforme; analyse spectrale.; spectral analysis; spectrum of the generator of the semigroup},
language = {eng},
month = {3},
pages = {567-595},
publisher = {EDP Sciences},
title = {Stabilisation d'une poutre. Étude du taux optimal de décroissance de l'énergie élastique},
url = {http://eudml.org/doc/90635},
volume = {7},
year = {2010},
}
TY - JOUR
AU - Conrad, Francis
AU - Saouri, Fatima-Zahra
TI - Stabilisation d'une poutre. Étude du taux optimal de décroissance de l'énergie élastique
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 7
SP - 567
EP - 595
AB -
We study the stability of a flexible beam clamped at one end. A
mass is attached at the other end, where a control moment is
applied. The boundary control is proportional to the angular velocity
at the end. By spectral analysis, we prove that the optimal decay rate
of the energy is given by the spectrum of the generator of the
semigroup associated to the system.
LA - eng
KW - Équation des poutres; contrôle frontière;
stabilisation uniforme; analyse spectrale.; spectral analysis; spectrum of the generator of the semigroup
UR - http://eudml.org/doc/90635
ER -
References
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