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dc.contributor.authorHintermüller, Michael
dc.contributor.authorMarahrens, Daniel
dc.contributor.authorMarkowich, Peter A.
dc.contributor.authorSPARBER, CHRISTOF
dc.date.accessioned2015-05-26T07:03:10Z
dc.date.available2015-05-26T07:03:10Z
dc.date.issued2013-01
dc.identifier.citationOptimal Bilinear Control of Gross--Pitaevskii Equations 2013, 51 (3):2509 SIAM Journal on Control and Optimization
dc.identifier.issn0363-0129
dc.identifier.issn1095-7138
dc.identifier.doi10.1137/120866233
dc.identifier.urihttp://hdl.handle.net/10754/555746
dc.description.abstractA mathematical framework for optimal bilinear control of nonlinear Schrödinger equations of Gross--Pitaevskii type arising in the description of Bose--Einstein condensates is presented. The obtained results generalize earlier efforts found in the literature in several aspects. In particular, the cost induced by the physical workload over the control process is taken into account rather than the often used L^2- or H^1-norms for the cost of the control action. Well-posedness of the problem and existence of an optimal control are proved. In addition, the first order optimality system is rigorously derived. Also a numerical solution method is proposed, which is based on a Newton-type iteration, and used to solve several coherent quantum control problems.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.urlhttp://epubs.siam.org/doi/abs/10.1137/120866233
dc.relation.urlhttp://arxiv.org/abs/1202.2306
dc.rightsArchived with thanks to SIAM Journal on Control and Optimization
dc.subjectquantum control
dc.subjectbilinear optimal control problem
dc.subjectnonlinear Schrodinger equation
dc.subjectBose–Einstein condensate
dc.subjectNewton’s method
dc.subjectMINRES algorithm
dc.subjectwork induced by control
dc.titleOptimal Bilinear Control of Gross--Pitaevskii Equations
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalSIAM Journal on Control and Optimization
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mathematics, Humboldt–Universität zu Berlin, D–10099 Berlin, Germany
dc.contributor.institutionMax Planck Institute for Mathematics in the Sciences, D–04103 Leipzig, Germany
dc.contributor.institutionDepartment of Mathematics, Statistics, and Computer Science, University of Illinois at Chic ago, Chicago, IL 60607
dc.identifier.arxividarXiv:1202.2306
kaust.personMarkowich, Peter A.
dc.versionv1
refterms.dateFOA2018-06-13T20:13:05Z
dc.date.posted2012-02-10


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