3 papers
math.OC2025
On the relation between approaches for boundary feedback control of hyperbolic systems
Michael Herty, Ferdinand Thein
Stabilization of partial differential equations is a topic of utmost importance in mathematics as well as in engineering sciences. Concerning one dimensional problems there exists…
math.OC2025
Boundary feedback control for hyperbolic systems
Michael Herty, Ferdinand Thein
We are interested in the feedback stabilization of general linear multi-dimensional first order hyperbolic systems in . Using a Lyapunov function with a suited weight…
math.OC2024
Numerical Boundary Control of Multi-Dimensional Hyperbolic Equations
Michael Herty, Kai Hinzmann, Siegfried Müller +1
Existing theoretical stabilization results for linear, hyperbolic multi-dimensional problems are extended to the discretized multi-dimensional problems. In contrast to existing the…