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Journal Articles Automatica Year : 2018

Controllability of the 1D Schrödinger equation using flatness

Philippe Martin
Lionel Rosier

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.
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Dates and versions

hal-01769227 , version 1 (04-05-2018)

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Philippe Martin, Lionel Rosier, Pierre Rouchon. Controllability of the 1D Schrödinger equation using flatness. Automatica, 2018, 91, pp.208 - 216. ⟨10.1016/j.automatica.2018.01.005⟩. ⟨hal-01769227⟩
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