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Main Title: Numerical solution of optimal control problems with convex control constraints
Author(s): Wachsmuth, Daniel
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15551
http://dx.doi.org/10.14279/depositonce-14324
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: We study optimal control problems with vector-valued controls. As model problem serves the optimal distributed control of the instationary Navier-Stokes equations. In the article, we propose a solution strategy to solve optimal control problems with pointwise convex control constraints. It involves a SQP-like step with an imbedded active-set algorithm. The efficiency of that method is demonstrated in numerical examples and compared to the primal-dual active-set strategy for box-constraints.
Subject(s): optimal control
convex control constraints
set-valued mappings
active-set strategy
Navier-Stokes equations
Issue Date: 28-Nov-2005
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49M05 Methods based on necessary conditions
26E25 Set-valued functions
49K20 Problems involving partial differential equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2005, 31
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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