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| dc.contributor.author | Gottlich, Simone
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| dc.contributor.author | Herty, Michael
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| dc.contributor.author | Weldegiyorgis, Gediyon Y.
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| dc.date.accessioned | 2021-08-31T12:18:31Z | |
| dc.date.available | 2021-08-31T12:18:31Z | |
| dc.date.issued | 2021-03 | |
| dc.description.abstract | In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant manufacturing system. By using a suitable Lyapunov function, we prove sufficient and necessary conditions on ISS. We propose a numerical discretization of the scalar conservation law with nonlocal velocity and measurement error. A suitable discrete Lyapunov function is analyzed to provide ISS of a discrete equilibrium for the proposed numerical approximation. Finally, we show computational results to validate the theoretical findings. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | pm2021 | en_ZA |
| dc.description.sponsorship | DFG | en_ZA |
| dc.description.uri | http://www.mdpi.com/journal/axioms | en_ZA |
| dc.identifier.citation | Göttlich, S.; Herty, M.; Weldegiyorgis, G. Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity. Axioms 2021, 10, 12. https://doi.org/10.3390/axioms10010012. | en_ZA |
| dc.identifier.issn | 2075-1680 (online) | |
| dc.identifier.other | 10.3390/ axioms10010012 | |
| dc.identifier.uri | http://hdl.handle.net/2263/81565 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | MDPI | en_ZA |
| dc.rights | © 2020 by the authors. Licensee: MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | en_ZA |
| dc.subject | Conservation laws | en_ZA |
| dc.subject | Feedback stabilization | en_ZA |
| dc.subject | Numerical approximations | en_ZA |
| dc.subject | Nonlocal velocity | en_ZA |
| dc.subject | Input-to-state stability (ISS) | en_ZA |
| dc.title | Input-to-state stability of a scalar conservation law with nonlocal velocity | en_ZA |
| dc.type | Article | en_ZA |
