Optimal control of Nuclear Magnetic Resonance periodic systems
| Autor: | Jbili, Nadia, Salomon, Julien |
|---|---|
| Přispěvatelé: | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE), Centre National de la Recherche Scientifique (CNRS)-Université Paris Dauphine-PSL, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Jbili, Nadia |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS] [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC] [MATH] Mathematics [math] [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP] [MATH]Mathematics [math] |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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