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.
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