Construction of the control function for the global exact controllability and further estimates

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 the one dimensional bilinear Schrödinger equations in a bounded domain. We prove the global exact controllability and we exhibit how to construct the relative control function.

Mots clés: Schrödinger equation; global exact controllability; inversion problems; control estimate

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. Construction of the control function for the global exact controllability and further estimates. 2017. ⟨hal-01520173v1⟩