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

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.