Controllability of the 1D Schrödinger equation using flatness
arXiv:1705.01052 · doi:10.1016/j.automatica.2018.01.005
Abstract
We derive in a direct way the exact controllability of the 1D free 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.
Ancillary files: Matlab simulation