Simultaneous global exact controllability in projection

Alessandro Duca (1, 2, 3, 4)

1 SPHINX - Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
3 Dipartimento di Scienze Matematiche
4 Dipartimento di Matematica "Giuseppe Peano" [Torino]

We consider an infinite number of one dimensional bilinear Schrödinger equations in a segment. We prove the simultaneous local exact controllability in projection for any positive time and the simultaneous global exact controllability in projection for sufficiently large time.

Mots clés: density matrices; global exact controllability; Schrödinger equation; simultaneous control; moment problem; perturbation theory

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

Alessandro Duca. Simultaneous global exact controllability in projection. 2018. ⟨hal-01481873v3⟩