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| HAL : hal-00589554, version 1 |
| DOI : 10.1109/CDC.2009.5399813 |
| Fiche détaillée |  Récupérer au format |
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| Conference on Decision and Control, Shanghai : Chine (2009) |
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| Generic controllability properties for the bilinear Schrödinger equation |
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| Mario Sigalotti 1, 2Paolo Mason 3 |
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| (2009) |
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| In a recent paper we proposed a set of sufficient conditions for the approximate controllability of a discrete-spectrum bilinear Schrödinger equation on a fixed domain. These conditions are expressed in terms of the controlled potential and of the eigenpairs of the uncontrolled Schrödinger operator. The aim of this presentation is to show that these conditions are generic with respect to the uncontrolled or the controlled potential. The results are obtained by analytic perturbation arguments and through the study of asymptotic properties of eigenfunctions. |
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| 1 : | CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) |
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INRIA – CNRS : UMR7502 – Université de Lorraine |
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| 2 : | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL) |
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| 3 : | Laboratoire des signaux et systèmes (L2S) |
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UMR8506 CNRS – SUPELEC – Université Paris XI - Paris Sud |
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| 4 : | Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP) |
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Polytechnique - X – CNRS : UMR7641 |
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| Domaine | : | Mathématiques/Optimisation et contrôle |
| hal-00589554, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00589554 | |
| oai:hal.archives-ouvertes.fr:hal-00589554 | |
| Contributeur : Thomas Chambrion | |
| Soumis le : Vendredi 29 Avril 2011, 11:22:34 | |
| Dernière modification le : Mardi 3 Mai 2011, 09:20:47 | |
