Finite-Parameter Feedback Control for Stabilizing the Complex Ginzburg–landau Equation
| dc.contributor.author | Kalantarova, Jamila | |
| dc.contributor.author | Özsarı, Türker | |
| dc.coverage.doi | 10.1016/j.sysconle.2017.06.004 | |
| dc.date.accessioned | 2017-11-17T13:35:00Z | |
| dc.date.available | 2017-11-17T13:35:00Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this paper, we prove the exponential stabilization of solutions for complex Ginzburg–Landau equations using finite-parameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables (controllers). We also propose a feedback control for steering solutions of the Ginzburg–Landau equation to a desired solution of the non-controlled system. In this latter problem, the feedback controller also involves the measurement of the solution to the non-controlled system. | en_US |
| dc.description.sponsorship | TUBITAK (115F055) | en_US |
| dc.identifier.citation | Kalantarova, J., and Özsarı, T. (2017). Finite-parameter feedback control for stabilizing the complex Ginzburg–Landau equation. Systems and Control Letters, 106, 40-46. doi:10.1016/j.sysconle.2017.06.004 | en_US |
| dc.identifier.doi | 10.1016/j.sysconle.2017.06.004 | en_US |
| dc.identifier.doi | 10.1016/j.sysconle.2017.06.004 | |
| dc.identifier.issn | 0167-6911 | |
| dc.identifier.scopus | 2-s2.0-85021646517 | |
| dc.identifier.uri | http://doi.org/10.1016/j.sysconle.2017.06.004 | |
| dc.identifier.uri | https://hdl.handle.net/11147/6481 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation | info:eu-repo/grantAgreement/TUBITAK/MFAG/115F055 | en_US |
| dc.relation.ispartof | Systems and Control Letters | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Feedback stabilization | en_US |
| dc.subject | Finite volume elements | en_US |
| dc.subject | Finitely many Fourier modes | en_US |
| dc.subject | Nodal observables | en_US |
| dc.subject | Ginzburg–Landau equations | en_US |
| dc.title | Finite-Parameter Feedback Control for Stabilizing the Complex Ginzburg–landau Equation | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Kalantarova, Jamila | |
| gdc.author.institutional | Özsarı, Türker | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 46 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 40 | en_US |
| gdc.description.volume | 106 | en_US |
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| gdc.oaire.keywords | Feedback stabilization | |
| gdc.oaire.keywords | Finite volume elements | |
| gdc.oaire.keywords | 93B52, 93D15, 93B05 | |
| gdc.oaire.keywords | Mathematics - Analysis of PDEs | |
| gdc.oaire.keywords | Finitely many Fourier modes | |
| gdc.oaire.keywords | Optimization and Control (math.OC) | |
| gdc.oaire.keywords | Ginzburg–Landau equations | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Nodal observables | |
| gdc.oaire.keywords | Mathematics - Optimization and Control | |
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