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A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005418
URN to cite this document: urn:nbn:de:bvb:703-epub-5418-8

Title data

Altmüller, Nils ; Grüne, Lars:
A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation.
Bayreuth , 2013 . - 6 S.

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Abstract

We continue our study (started in Altmüller and Grüne "Distributed and boundary model predictive control for the heat equation" 2012) on stability properties of model predictive control without terminal constraints applied to the heat equation. Here, we focus on boundary control and in particular on the differences between Neumann and Dirichlet boundary conditions. We first illustrate the differences by means of numerical simulations and then explain our findings by a theoretical analysis.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
IFAC Proceedings Volumes. Bd. 46 (2013) Heft 26 . - S. 161-166.
DOI: https://doi.org/10.3182/20130925-3-FR-4043.00048
Keywords: model predictive control; heat equation; boundary control; stability
DDC Subjects: 500 Science
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
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 Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5418-8
Date Deposited: 23 Apr 2021 11:07
Last Modified: 23 Apr 2021 11:11
URI: https://epub.uni-bayreuth.de/id/eprint/5418

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