| 572 | RWTH Publication No: 850321 2022 |
| TITLE | Stabilization of a Multi-Dimensional System of Hyperbolic Balance Laws |
| AUTHORS | Michael Herty, Ferdinand Thein |
| ABSTRACT | We are interested in the feedback stabilization of systems described by Hamilton-Jacobi type equations in $\R^n$. A reformulation leads to a 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. We further present examples of such systems partially based on a forming process. |
| KEYWORDS | |
| DOI | 10.1002/pamm.202200056 |
| PUBLICATION | Proceedings in Applied Mathematics and Mechanics 2022, 22, 1 |
