Contrôle et stabilisation d'ondes électromagnétiques

Kim Dang Phung

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 5, page 87-137
  • ISSN: 1292-8119

Abstract

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We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law.

How to cite

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Phung, Kim Dang. "Contrôle et stabilisation d'ondes électromagnétiques." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 87-137. <http://eudml.org/doc/197325>.

@article{Phung2010,
abstract = { We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law. },
author = {Phung, Kim Dang},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Contrôlabilité; stabilisation; équation de Maxwell.; exact controllability; Maxwell equation; boundary controllability; internal controllability; HUM method; boundary stabilization},
language = {fre},
month = {3},
pages = {87-137},
publisher = {EDP Sciences},
title = {Contrôle et stabilisation d'ondes électromagnétiques},
url = {http://eudml.org/doc/197325},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Phung, Kim Dang
TI - Contrôle et stabilisation d'ondes électromagnétiques
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 5
SP - 87
EP - 137
AB - We consider the exact controllability and stabilization of Maxwell equation by using results on the propagation of singularities of the electromagnetic field. We will assume geometrical control condition and use techniques of the work of Bardos et al. on the wave equation. The problem of internal stabilization will be treated with more attention because the condition divE=0 is not preserved by the system of Maxwell with Ohm's law.
LA - fre
KW - Contrôlabilité; stabilisation; équation de Maxwell.; exact controllability; Maxwell equation; boundary controllability; internal controllability; HUM method; boundary stabilization
UR - http://eudml.org/doc/197325
ER -

References

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