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Controllability of the 1D Schrödinger equation using flatness (1705.01052v4)
Published 2 May 2017 in math.OC
Abstract: We derive in a direct way the exact controllability of the 1D free Schr\"odinger 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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