Stabilization of a Multi‐Dimensional System of Hyperbolic Balance Laws – A Case Study

Abstract

AbstractIn a recent work we studied a stabilization problem for a multi‐dimensional system of n hyperbolic partial differential equations. 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. The aim of the present work is to show how this approach can be applied to a particular system. Moreover we present numerical results supporting the theoretical results.