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 Contributor : Philippe MartinConnect in order to contact the contributor Submitted on : Friday, May 4, 2018 - 12:30:42 PM Last modification on : Wednesday, June 8, 2022 - 12:50:07 PM Long-term archiving on: : Monday, September 24, 2018 - 4:16:02 PM
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⟩