Optimal control of Nuclear Magnetic Resonance periodic systems

Nadia Jbili , Julien Salomon (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

In this paper, we consider an optimal control problem for quantum systems with a periodic time evolution. In this non-classical problem both the initial and final state are unknown (and equal). We first prove the existence of periodic solution of this problem for a fixed period and study the associated optimal periodic control problem.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]; Systèmes dynamiques [math.DS]; Optimisation et contrôle [math.OC]

Nadia Jbili, Julien Salomon. Optimal control of Nuclear Magnetic Resonance periodic systems. 2019. ⟨hal-02344820⟩