Numerical Feedback Stabilization with Applications to Networks. (22nd May 2017)

• Record Type: Journal Article
• Authors: Göttlich, Simone; Schillen, Peter
• Other Names: Goldstein Gisèle R. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2017(2017)
• Publication Date: 2017-05-22
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2017/6896153
• Languages: English
• ISSNs: 1026-0226

Abstract

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.