Numerical Feedback Stabilization with Applications to Networks-Reference-Cited by-同舟云学术

Numerical Feedback Stabilization with Applications to Networks

Published:2017 Issue: Volume:2017 Page:1-11
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Göttlich Simone¹^ORCID,Schillen Peter¹

Affiliation:

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

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.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2017/6896153.pdf

Reference36 articles.

1. On the Attainable Set for Temple Class Systems with Boundary Controls

2. On the Attainable Set for Scalar Nonlinear Conservation Laws with Boundary Control

3. Stability and Boundary Stabilization of 1-D Hyperbolic Systems

4. Lyapunov stability analysis of networks of scalar conservation laws

5. On the Boundary Control of Systems of Conservation Laws

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