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dc.contributor.authorTurinici, Gabriel
dc.contributor.authorRouchon, Pierre
dc.contributor.authorMirrahimi, Mazyar
dc.date.accessioned2013-03-20T15:05:44Z
dc.date.available2013-03-20T15:05:44Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11149
dc.language.isoenen
dc.subjectTrajectory generationen
dc.subjectTrackingen
dc.subjectAdiabatic invarianten
dc.subjectControl Lyapunov functionen
dc.subjectStabilizationen
dc.subjectQuantum systemsen
dc.subject.ddc515en
dc.titleLyapunov control of bilinear Schrodinger equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenA Lyapunov-based approach for trajectory tracking of the Schrödinger equation is proposed. In the finite dimensional case, convergence is precisely analyzed. Connection between the controllability of the linearized system around the reference trajectory and asymptotic tracking is studied. When the linearized system is controllable, such a feedback ensures almost global asymptotic convergence. When the linearized system is not controllable, the stability of the closed-loop system is not asymptotic. To overcome such lack of convergence, we propose, when the reference trajectory is an eigenstate, a modification based on adiabatic invariance. Simulations illustrate the simplicity and also the interest for trajectory generation.en
dc.relation.isversionofjnlnameAutomatica
dc.relation.isversionofjnlvol41en
dc.relation.isversionofjnlissue11en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages1987-1994en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.automatica.2005.05.018en
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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