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

Title data

Altmüller, Nils ; Grüne, Lars:
A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation.
In: IFAC Proceedings Volumes. Vol. 46 (2013) Issue 26 . - pp. 161-166.
ISSN 1474-6670
DOI: https://doi.org/10.3182/20130925-3-FR-4043.00048

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Abstract in another language

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: Article in a journal
Refereed: Yes
Keywords: model predictive control; heat equation; boundary control; stability
Institutions of the University: 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) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: Yes
DDC Subjects: 500 Science
Date Deposited: 18 Feb 2021 11:27
Last Modified: 23 Apr 2021 11:08
URI: https://eref.uni-bayreuth.de/id/eprint/63123