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Instantaneous Control of the linear wave equation

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005433
URN to cite this document: urn:nbn:de:bvb:703-epub-5433-2

Title data

Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Instantaneous Control of the linear wave equation.
Bayreuth , 2010

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Abstract

We are concerned with the one dimensional linear wave equation with Dirichlet boundary condition and Neumann boundary control. It has been shown numerically that this hyperbolic partial differential equation can be stabilized by instantaneous control, i.e. model predictive control with the shortest feasible prediction and optimization horizon. Our contribution is the complete theoretical analysis.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erscheint in:
Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest , 2010 . - S. 1895-1899
DDC Subjects: 500 Science
500 Science > 510 Mathematics
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-5433-2
Date Deposited: 03 May 2021 12:05
Last Modified: 09 Jun 2021 07:09
URI: https://epub.uni-bayreuth.de/id/eprint/5433
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