Controllability of the 1D Schrödinger equation using flatness. (May 2018)

• Record Type: Journal Article
• Authors: Martin, Philippe; Rosier, Lionel; Rouchon, Pierre
• Is Part Of: Automatica. Volume 91(2018)
• Page Start: 208
• Page End: 216
• Publication Date: 2018-05
• Subjects: Partial differential equations -- Schrödinger equation -- Boundary control -- Exact controllability -- Motion planning -- Flatness; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2018.01.005
• Languages: English
• ISSNs: 0005-1098

Abstract

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.