Titelaufnahme

Titel
Optimal bilinear control of Gross-Pitaevskii equations
VerfasserHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Marahrens, Daniel ; Markowich, Peter A. In der Gemeinsamen Normdatei der DNB nachschlagen ; Sparber, Christof
Erschienen in
SIAM Journal on Control and Optimization, Philadelphia, Pa., 2013, Jg. 51, H. 3, S. 2509-2543
ErschienenSIAM
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)quantum control / bilinear optimal control problem / nonlinear Schrodinger equation / BoseEinstein condensate / Newtons method / MINRES algorithm / work induced by control
URNurn:nbn:at:at-ubg:3-714 Persistent Identifier (URN)
DOIdoi:10.1137/120866233 
Zugriffsbeschränkung
 Das Werk ist frei verfügbar
Dateien
Optimal bilinear control of Gross-Pitaevskii equations [0.46 mb]
Links
Nachweis
Zusammenfassung (Englisch)

A mathematical framework for optimal bilinear control of nonlinear Schrödingerequations of GrossPitaevskii type arising in the description of BoseEinstein condensates is presented.The obtained results generalize earlier efforts found in the literature in several aspects. Inparticular, the cost induced by the physical workload over the control process is taken into accountrather than the often used L2- or H1-norms for the cost of the control action. Well-posedness ofthe problem and existence of an optimal control are proved. In addition, the first order optimalitysystem is rigorously derived. Also a numerical solution method is proposed, which is based on aNewton-type iteration, and used to solve several coherent quantum control problems.

Notiz