Publications

Year of Publication: 2017
Authors: S. Göttlich; P. Schillen
Abstract:

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 L2-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 given by the telegraphers equation.

Corporate Authors: S. Göttlich; P. Schillen
Date Published: May
Volume: 35
Publication Language: eng
Start Page: 11
Type of Publication: Journal Article
URL: http://www.sciencedirect.com/science/article/pii/S0947358016301406?via%3Dihub