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

卷:153

Article

关键词: NAVIER-STOKES EQUATIONS;    CONTROLLABILITY;   

DOI  :  10.1016/j.automatica.2023.111028

来源: SCIE

【 摘 要 】

In Duca and Nersesyan (2023), a small-time controllability property of nonlinear Schrodinger equations is proved 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. (c) 2023 Elsevier Ltd. All rights reserved.

【 授权许可】

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