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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Format: | Article |
Language: | English |
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Wiley
2017-01-01
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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. |
format | Article |
id | doaj-art-4693f9a5e0d44fbf99ed60354901894a |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2017-01-01 |
publisher | Wiley |
record_format | Article |
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 |