| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 71 | |
| Number of page(s) | 16 | |
| DOI | https://doi.org/10.1051/cocv/2024062 | |
| Published online | 07 October 2024 | |
Boundary feedback control for hyperbolic systems
1
IGPM RWTH Aachen, Templergraben 55, D-52056 Aachen, Germany
2
Present address: Johannes Gutenberg-Universität, Staudingerweg 9, D-55128 Mainz, Germany
* Corresponding author: fthein@uni-mainz.de
Received:
13
March
2023
Accepted:
9
August
2024
We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in ℝd. Using a Lyapunov function with a suited weight function depending on the system under consideration we show stabilization in L2 for the studied system using a suitable feedback control. Therefore the controllability of the studied system is related to the feasibility of an associated linear matrix inequality.We show the applicability discussing the barotropic Euler equations.
Key words: Lyapunov stability / control of PDEs / IBVP for hyperbolic PDE systems / linear matrix inequality
© The authors. Published by EDP Sciences, SMAI 2024
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