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arXiv · 1705.01052

Controllability of the 1D Schrödinger equation using flatness

Philippe Martin·Lionel Rosier·Pierre Rouchon
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Abstract

We derive in a direct way the exact controllability of the 1D free 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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Philippe Martin, Lionel Rosier, Pierre Rouchon. 2018-04-19. Controllability of the 1D Schrödinger equation using flatness. https://doi.org/10.1016/j.automatica.2018.01.005

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