Controllability of analytic functions for a wave equation coupled with a beam.

Brice Allibert; Sorin Micu

Revista Matemática Iberoamericana (1999)

  • Volume: 15, Issue: 3, page 547-592
  • ISSN: 0213-2230

Abstract

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We consider the controllability and observation problem for a simple model describing the interaction between a fluid and a beam. For this model, microlocal propagation of singularities proves that the space of controlled functions is smaller that the energy space. We use spectral properties and an explicit construction of biorthogonal sequences to show that analytic functions can be controlled within finite time. We also give an estimate for this time, related to the amount of analyticity of the latter function.

How to cite

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Allibert, Brice, and Micu, Sorin. "Controllability of analytic functions for a wave equation coupled with a beam.." Revista Matemática Iberoamericana 15.3 (1999): 547-592. <http://eudml.org/doc/39579>.

@article{Allibert1999,
abstract = {We consider the controllability and observation problem for a simple model describing the interaction between a fluid and a beam. For this model, microlocal propagation of singularities proves that the space of controlled functions is smaller that the energy space. We use spectral properties and an explicit construction of biorthogonal sequences to show that analytic functions can be controlled within finite time. We also give an estimate for this time, related to the amount of analyticity of the latter function.},
author = {Allibert, Brice, Micu, Sorin},
journal = {Revista Matemática Iberoamericana},
keywords = {Funciones analíticas; Función de onda; Propagación de ondas; interaction between a fluid and a beam; biorthogonal sequences},
language = {eng},
number = {3},
pages = {547-592},
title = {Controllability of analytic functions for a wave equation coupled with a beam.},
url = {http://eudml.org/doc/39579},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Allibert, Brice
AU - Micu, Sorin
TI - Controllability of analytic functions for a wave equation coupled with a beam.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 3
SP - 547
EP - 592
AB - We consider the controllability and observation problem for a simple model describing the interaction between a fluid and a beam. For this model, microlocal propagation of singularities proves that the space of controlled functions is smaller that the energy space. We use spectral properties and an explicit construction of biorthogonal sequences to show that analytic functions can be controlled within finite time. We also give an estimate for this time, related to the amount of analyticity of the latter function.
LA - eng
KW - Funciones analíticas; Función de onda; Propagación de ondas; interaction between a fluid and a beam; biorthogonal sequences
UR - http://eudml.org/doc/39579
ER -

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