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Article Dans Une Revue Automatica Année : 2023

Small-time bilinear control of Schrödinger equations with application to rotating linear molecules

Résumé

In [14] Duca and Nersesyan proved a small-time controllability property of nonlinear Schrödinger equations on a d-dimensional torus $T^d$. In this paper we study a similar property, in the linear setting, starting from a closed Riemannian manifold. We then focus on the 2-dimensional sphere $S^2$, which models the bilinear control of a rotating linear top: as a corollary, we obtain the approximate controllability in arbitrarily small times among particular eigenfunctions of the Laplacian of $S^2$ .
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Dates et versions

hal-03717828 , version 1 (09-07-2022)
hal-03717828 , version 2 (12-07-2022)

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Thomas Chambrion, Eugenio Pozzoli. Small-time bilinear control of Schrödinger equations with application to rotating linear molecules. Automatica, 2023, 153, pp.111028. ⟨10.1016/j.automatica.2023.111028⟩. ⟨hal-03717828v2⟩
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