Resolvent estimates in controllability theory and applications to the discrete wave equation
- [1] Institut de Mathématiques de Toulouse & CNRS, Université Paul Sabatier (Toulouse 3), 118 route de Narbonne, F31062 Toulouse Cedex 9, France.
Journées Équations aux dérivées partielles (2009)
- Volume: 113, Issue: 3, page 1-18
- ISSN: 0752-0360
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topErvedoza, Sylvain. "Resolvent estimates in controllability theory and applications to the discrete wave equation." Journées Équations aux dérivées partielles 113.3 (2009): 1-18. <http://eudml.org/doc/116373>.
@article{Ervedoza2009,
abstract = {We briefly present the difficulties arising when dealing with the controllability of the discrete wave equation, which are, roughly speaking, created by high-frequency spurious waves which do not travel. It is by now well-understood that such spurious waves can be dealt with by applying some convenient filtering technique. However, the scale of frequency in which we can guarantee that none of these non-traveling waves appears is still unknown in general. Though, using Hautus tests, which read the controllability of a given system in terms of resolvent estimates, we are able to prove that these spurious waves do not appear before some frequency scale. This document is based on the articles [12, 13, 14].},
affiliation = {Institut de Mathématiques de Toulouse & CNRS, Université Paul Sabatier (Toulouse 3), 118 route de Narbonne, F31062 Toulouse Cedex 9, France.},
author = {Ervedoza, Sylvain},
journal = {Journées Équations aux dérivées partielles},
language = {eng},
month = {6},
number = {3},
pages = {1-18},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Resolvent estimates in controllability theory and applications to the discrete wave equation},
url = {http://eudml.org/doc/116373},
volume = {113},
year = {2009},
}
TY - JOUR
AU - Ervedoza, Sylvain
TI - Resolvent estimates in controllability theory and applications to the discrete wave equation
JO - Journées Équations aux dérivées partielles
DA - 2009/6//
PB - Groupement de recherche 2434 du CNRS
VL - 113
IS - 3
SP - 1
EP - 18
AB - We briefly present the difficulties arising when dealing with the controllability of the discrete wave equation, which are, roughly speaking, created by high-frequency spurious waves which do not travel. It is by now well-understood that such spurious waves can be dealt with by applying some convenient filtering technique. However, the scale of frequency in which we can guarantee that none of these non-traveling waves appears is still unknown in general. Though, using Hautus tests, which read the controllability of a given system in terms of resolvent estimates, we are able to prove that these spurious waves do not appear before some frequency scale. This document is based on the articles [12, 13, 14].
LA - eng
UR - http://eudml.org/doc/116373
ER -
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