English Intern
Dynamische Systeme und Kontrolltheorie

"cancelled" - Oberseminar "Dynamische Systeme und Kontrolltheorie" - Prof. Dr. Simone Göttlich

Boundary control problems for systems of balance laws: Feedback Stabilization
Datum: 03.02.2023, 16:00 Uhr
Kategorie: Veranstaltung
Ort: Hubland Nord, Geb. 40, 01.003
Vortragende: Prof. Dr. Simone Göttlich, Universität Mannheim
We consider the boundary control of discretized problems based on systems of linear conservation laws including source terms. For a discrete Lyapunov function we prove the exponential decay in L 2 -norm using first-order finite volume methods. We give explicit computations of the decay rates and apply the proposed framework to the numerical boundary feedback stabilization of electric transmission lines. Extensions to Input-to-State Stability will be also discussed.