Boosting the Decay of Solutions of the Linearised Korteweg-De Vries–burgers Equation To a Predetermined Rate From the Boundary
| dc.contributor.author | Özsarı, Türker | |
| dc.contributor.author | Arabacı, Eda | |
| dc.coverage.doi | 10.1080/00207179.2017.1408923 | |
| dc.date.accessioned | 2019-11-25T12:29:14Z | |
| dc.date.available | 2019-11-25T12:29:14Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | The aim of this article is to extend recent results on the boundary feedback controllability of the Korteweg-de Vries equation to the Korteweg-de Vries–Burgers equation which is posed on a bounded domain. In the first part of the paper, it is proven that all the sufficiently small solutions can be steered to zero at any desired exponential rate by means of a suitably constructed boundary feedback controller. In the second part, an observer is proposed when a type of boundary measurement is available while there is no full access to the medium. | en_US |
| dc.identifier.citation | Özsarı, T. and Arabacı, E. (2019). Boosting the decay of solutions of the linearised Korteweg-de Vries–Burgers equation to a predetermined rate from the boundary. International Journal of Control, 92(8), 1753-1763. doi:10.1080/00207179.2017.1408923 | en_US |
| dc.identifier.doi | 10.1080/00207179.2017.1408923 | |
| dc.identifier.issn | 0020-7179 | |
| dc.identifier.issn | 1366-5820 | |
| dc.identifier.scopus | 2-s2.0-85036597312 | |
| dc.identifier.uri | https://doi.org/10.1080/00207179.2017.1408923 | |
| dc.identifier.uri | https://hdl.handle.net/11147/7380 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor and Francis Ltd. | en_US |
| dc.relation.ispartof | International Journal of Control | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Back-stepping | en_US |
| dc.subject | Boundary controller | en_US |
| dc.subject | Feedback stabilisation | en_US |
| dc.subject | Korteveg-de-Vries–Burgers equation | en_US |
| dc.subject | Observer design | en_US |
| dc.title | Boosting the Decay of Solutions of the Linearised Korteweg-De Vries–burgers Equation To a Predetermined Rate From the Boundary | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Özsarı, Türker | |
| gdc.author.institutional | Arabacı, Eda | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1763 | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1753 | en_US |
| gdc.description.volume | 92 | en_US |
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| gdc.oaire.keywords | Observer design | |
| gdc.oaire.keywords | Back-stepping | |
| gdc.oaire.keywords | Boundary controller | |
| gdc.oaire.keywords | Feedback stabilisation | |
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