Controllability of the 1D Schrödinger equation using flatness

• Autores: Philippe Martin, Lionel Rosier, P. Rouchon
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 91, 2018, págs. 208-216
• Idioma: inglés
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• Resumen

  • 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.