Boundary feedback control for hyperbolic systems

ESAIM Control Optimisation and Calculus of Variations, vol. 30, pp. 71

Abstract

We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in ℝ d . Using a Lyapunov function with a suited weight function depending on the system under consideration we show stabilization in L 2 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.

Authors 2

1. Michaël Herty Aachen

   RWTH Aachen University

   Affiliation as printed

   IGPM RWTH Aachen , Templergraben 55 , D-52056 Aachen , Germany

2. Ferdinand Thein

   Johannes Gutenberg University Mainz

   Affiliation as printed

   Johannes Gutenberg-Universität , Staudingerweg 9 , D-55128 Mainz , Germany