678	RWTH Publication No: 1003610        2025
TITLE	Boundary Stabilization with restricted observability
AUTHORS	Mapundi Kondwani Banda, Jan Friedrich, Michael Herty
ABSTRACT	Lyapunov functions are popularly used to investigate the stabilization problem of systems of hyperbolic conservation laws with boundary controls. In real life applications often not every boundary value can be observed. In this work, we show the stabilization under a restricted boundary observability. Thereby, we apply the boundary control directly on the observed (physical) variables. Using well-known stabilization results from the literature, we also discuss examples such as a density flow model or the Saint-Venant equations. This shows that a restricted observation can result in more restrictive control choices or can prevent the system from stabilizing.
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