Simultaneous global exact controllability in projection

Alessandro Duca

Pré-Publication, Document De Travail Année : 2017

Simultaneous global exact controllability in projection

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Alessandro Duca

Fonction : Auteur
PersonId : 12802
IdHAL : alessandro-duca
ORCID : 0000-0001-7060-1723
IdRef : 227825829

Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization

Laboratoire de Mathématiques de Besançon (UMR 6623)

Dipartimento di Scienze Matematiche

Dipartimento di Matematica "Giuseppe Peano" [Torino]

Résumé

We consider an infinite number of one dimensional bilinear Schrödinger equations in a segment. We prove the simultaneous global exact controllability in projection of unitarily equivalent sequences of functions.

Mots clés

Schrödinger equation simultaneous control global exact controllability moment problem perturbation theory density matrices

Domaines

Equations aux dérivées partielles [math.AP] Systèmes dynamiques [math.DS] Physique mathématique [math-ph] Optimisation et contrôle [math.OC] Théorie spectrale [math.SP]