580	RWTH Publication No: 954181        2023
TITLE	Boundary Feedback Control for Hyperbolic Systems
AUTHORS	Michael Herty, Ferdinand Thein
ABSTRACT	We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems Rd. Using a novel Lyapunov function taking into account the multi-dimensional geometry we show stabilization in L2 for the arising system using a suitable feedback control. We show the applicability discussing the barotropic Euler equations.
KEYWORDS	Lyapunov stability / control of PDEs / IBVP for hyperbolic PDE systems / linear matrix inequality
DOI	10.1051/cocv/2024062
PUBLICATION	ESAIM: COCV Volume 30, Article 71, 2024