Obstruction to the bilinear control of the Gross-Pitaevskii equation: an example with an unbounded potential - Archive ouverte HAL
Communication Dans Un Congrès Année : 2019

Obstruction to the bilinear control of the Gross-Pitaevskii equation: an example with an unbounded potential

Résumé

In 1982, Ball, Marsden, and Slemrod proved an obstruction to the controllability of linear dynamics with a bounded bilinear control term. This note presents an example of nonlinear dynamics with respect to the state for which this obstruction still holds while the control potential is not bounded.
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Dates et versions

hal-02063308 , version 1 (11-03-2019)
hal-02063308 , version 2 (12-03-2019)

Identifiants

Citer

Thomas Chambrion, Laurent Thomann. Obstruction to the bilinear control of the Gross-Pitaevskii equation: an example with an unbounded potential. Joint 8th IFAC Symposium on Mechatronic Systems and 11th IFAC Symposium on Nonlinear Control Systems, Sep 2019, Vienne, Austria. pp.304 - 309, ⟨10.1016/j.ifacol.2019.11.796⟩. ⟨hal-02063308v2⟩
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