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Discrete Dynamics in Nature and Society
Volume 2017 (2017), Article ID 6896153, 11 pages
https://doi.org/10.1155/2017/6896153
Research Article

Numerical Feedback Stabilization with Applications to Networks

Department of Mathematics, University of Mannheim, 68131 Mannheim, Germany

Correspondence should be addressed to Simone Göttlich; ed.miehnnam-inu.htam@hciltteog

Received 22 February 2017; Accepted 13 April 2017; Published 22 May 2017

Academic Editor: Gisèle R. Goldstein

Copyright © 2017 Simone Göttlich and Peter Schillen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The focus is on the numerical consideration of feedback boundary control problems for linear systems of conservation laws including source terms. We explain under which conditions the numerical discretization can be used to design feedback boundary values for network applications such as electric transmission lines or traffic flow systems. Several numerical examples illustrate the properties of the results for different types of networks.