Controllability of the 1D Schr\"odinger equation using flatness
Optimization and Control
2018-04-23 v4
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.
Cite
@article{arxiv.1705.01052,
title = {Controllability of the 1D Schr\"odinger equation using flatness},
author = {Philippe Martin and Lionel Rosier and Pierre Rouchon},
journal= {arXiv preprint arXiv:1705.01052},
year = {2018}
}
Comments
Ancillary files: Matlab simulation