Numerical Feedback Stabilization with Applications to Networks

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 tr...

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Main Authors: Simone Göttlich, Peter Schillen
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/6896153
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author Simone Göttlich
Peter Schillen
author_facet Simone Göttlich
Peter Schillen
author_sort Simone Göttlich
collection DOAJ
description 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.
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institution Kabale University
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publishDate 2017-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-4693f9a5e0d44fbf99ed60354901894a2025-02-03T01:11:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/68961536896153Numerical Feedback Stabilization with Applications to NetworksSimone Göttlich0Peter Schillen1Department of Mathematics, University of Mannheim, 68131 Mannheim, GermanyDepartment of Mathematics, University of Mannheim, 68131 Mannheim, GermanyThe 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.http://dx.doi.org/10.1155/2017/6896153
spellingShingle Simone Göttlich
Peter Schillen
Numerical Feedback Stabilization with Applications to Networks
Discrete Dynamics in Nature and Society
title Numerical Feedback Stabilization with Applications to Networks
title_full Numerical Feedback Stabilization with Applications to Networks
title_fullStr Numerical Feedback Stabilization with Applications to Networks
title_full_unstemmed Numerical Feedback Stabilization with Applications to Networks
title_short Numerical Feedback Stabilization with Applications to Networks
title_sort numerical feedback stabilization with applications to networks
url http://dx.doi.org/10.1155/2017/6896153
work_keys_str_mv AT simonegottlich numericalfeedbackstabilizationwithapplicationstonetworks
AT peterschillen numericalfeedbackstabilizationwithapplicationstonetworks