Resumen de Controllability of the 1D Schrödinger equation using flatness

Philippe Martin, Lionel Rosier, P. Rouchon

• 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.