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Barrier methods for optimal control problems with state constraints

Title data

Schiela, Anton:
Barrier methods for optimal control problems with state constraints.
In: SIAM Journal on Optimization. Vol. 20 (2009) Issue 2 . - pp. 1002-1031.
ISSN 1095-7189
DOI: https://doi.org/10.1137/070692789

Review:

Project information

Project title:
Project's official title
Project's id
DFG Research Center Matheon "Mathematics for key technologies"
FZT 86

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We study barrier methods for state constrained optimal control problems with PDEs. The focus of our analysis is the path of minimizers of the barrier subproblems with the aim to provide a solid theoretical basis for function space oriented path-following algorithms. We establish results on existence, continuity, and convergence of this path. Moreover, we consider the structure of barrier subdifferentials, which play the role of dual variables.

Further data

Item Type: Article in a journal
Refereed: Yes
Additional notes: A preliminary version is published at the Konrad-Zuse-Zentrum für Informationstechnik, Berlin as ZIB-Report 07-07.
Keywords: interior point methods in function space; optimal control; state constraints
Subject classification: 90C51 (49M05)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics > Chair Applied Mathematics - Univ.-Prof. Dr. Anton Schiela
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 17 Mar 2015 09:51
Last Modified: 03 Mar 2021 08:39
URI: https://eref.uni-bayreuth.de/id/eprint/8059