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dc.contributor.authorBelhadj, Mohamed
dc.contributor.authorSalomon, Julien
HAL ID: 738224
dc.contributor.authorTurinici, Gabriel
HAL ID: 16
ORCID: 0000-0003-2713-006X
dc.date.accessioned2013-10-24T08:04:53Z
dc.date.available2013-10-24T08:04:53Z
dc.date.issued2015
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11915
dc.language.isoenen
dc.subjectperturbations
dc.subjectLie group controllability
dc.subjectbilinear syst em
dc.subjectquantum control
dc.subject.ddc512en
dc.titleEnsemble controllability and discrimination of perturbed bilinear control systems on connected, simple, compact Lie groups
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDépartement de Mathématiques, Institut Supérieur des Mathématiques Appliquées et d'Informatique de Kairouan Université de Kairouan;Tunisie
dc.description.abstractenThe controllability of bilinear systems is well understood for finite dimensional isolated systems where the control can be implemented exactly. However when perturbations are present some interesting theoretical questions are raised. We consider in this paper a control system whose control cannot be implemented exactly but is shifted by a time independent constant in a discrete list of possibilities. We prove under general hypothesis that the collection of possible systems (one for each possible perturbation) is simultaneously controllable with a common control. The result is extended to the situations where the perturbations are constant over a common, long enough, time frame. We apply the result to the controllability of quantum systems. Furthermore, some examples and a convergence result are presented for the situation where an infinite number of perturbations occurs. In addition, the techniques invoked in the proof allow us to obtain generic necessary and sufficient conditions for ensemble controllability.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameEuropean Journal of Control
dc.relation.isversionofjnlvol22
dc.relation.isversionofjnldate2015
dc.relation.isversionofjnlpages23-29
dc.relation.isversionofdoi10.1016/j.ejcon.2014.12.003
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-00866229
dc.subject.ddclabelAlgèbreen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewednon
dc.date.updated2016-10-11T14:18:38Z


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