Controllability of the 1D Schrödinger equation by the flatness approach - Mines Paris Accéder directement au contenu
Communication Dans Un Congrès Année : 2014

Controllability of the 1D Schrödinger equation by the flatness approach

Résumé

We derive in a straightforward way the exact controllability of the 1-D Schrödinger equation with a Dirichlet boundary control. We use the so-called flatness approach, which consists in parameterizing the solution and the control by the derivatives of a “flat output”. This provides an explicit control input achieving the exact controllability in the energy space. As an application, we derive an explicit pair of control inputs achieving the exact steering to zero for a simply-supported beam.

Dates et versions

hal-01112047 , version 1 (02-02-2015)

Identifiants

Citer

Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of the 1D Schrödinger equation by the flatness approach. 19th World Congress of the International Federation of Automatic Control (IFAC), Aug 2014, Cape Town, South Africa. ⟨10.3182/20140824-6-ZA-1003.00442⟩. ⟨hal-01112047⟩
86 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More