Abstract : We derive in a direct way the exact controllability of the 1D Schrödinger equation with Dirichlet boundary control. We use the so-called flatness approach, which consists in parametrizing the solution and the control by the derivatives of a “flat output”. This provides an explicit and very regular control achieving the exact controllability in the energy space.
https://hal-mines-paristech.archives-ouvertes.fr/hal-01769227
Contributeur : Philippe Martin
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Soumis le : vendredi 4 mai 2018 - 12:30:42
Dernière modification le : vendredi 16 novembre 2018 - 02:20:20
Document(s) archivé(s) le : lundi 24 septembre 2018 - 16:16:02
Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of the 1D Schrödinger equation using flatness. Automatica, Elsevier, 2018, 91, pp.208 - 216. 〈10.1016/j.automatica.2018.01.005〉. 〈hal-01769227〉
