An Optimal Control Problem with Final Observation for Systems Governed by Nonlinear Schrödinger Equation

An Optimal Control Problem with Final Observation for Systems Governed by Nonlinear Schrödinger Equation

In this paper, an optimal control problem with final observation for systems governed by nonlinear time-dependent Schrödinger equation is studied. The existence and uniqueness of the solution of considered optimal control problem are proved. The first variation of objective functional is obtained an...

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Bibliographic Details
Published in:Filomat Vol. 30; no. 3; pp. 649 - 665
Main Authors: Aksoy, Nigar Yildirim, Aksoy, Eray, Kocak, Yusuf
Format: Journal Article
Language:English
Published: Faculty of Sciences and Mathematics, University of Niš 01-01-2016
Subjects:
Boundary conditions
Boundary value problems
Mathematical functions
Optimal control
Uniqueness
Online Access:Get full text
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Description
Summary:In this paper, an optimal control problem with final observation for systems governed by nonlinear time-dependent Schrödinger equation is studied. The existence and uniqueness of the solution of considered optimal control problem are proved. The first variation of objective functional is obtained and a necessary optimality condition in the variational form is given.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1603649Y