Generic controllability of the bilinear Schrödinger equation on 1-D domains: the case of measurable potentials

Yacine Chitour (1, 2) , Mario Sigalotti (2, 3)

1 L2S - Laboratoire des signaux et systèmes
2 GECO - Geometric Control Design
3 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

In recent years, several sufficient conditions for the controllability of the Schrödinger equation have been proposed. In this article, we discuss the genericity of these conditions with respect to the variation of the controlled or the uncontrolled potential. In the case where the Schrödinger equation is set on a domain of dimension one, we improve the results in the literature, removing from the previously known genericity results some unnecessary technical assumptions on the regularity of the potentials.

Domaines: Optimisation et contrôle [math.OC]

Yacine Chitour, Mario Sigalotti. Generic controllability of the bilinear Schrödinger equation on 1-D domains: the case of measurable potentials. 2016, 48, pp.1-17. ⟨hal-01292270⟩