On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control

Kurzanzeige
dc.contributor.authorAzmi, Behzad
dc.contributor.authorBoulanger, Anne-Céline
dc.contributor.authorKunisch, Karl
dc.date.accessioned2022-01-24T13:06:12Z
dc.date.available2022-01-24T13:06:12Z
dc.date.issued2018eng
dc.description.abstractStabilization of the nonlinear Korteweg-de Vries (KdV) equation on a bounded interval by model predictive control (MPC) is investigated. This MPC strategy does not need any terminal cost or terminal constraint to guarantee the stability. The semi-global stabilizability is the key condition. Based on this condition, the suboptimality and exponential stability of the model predictive control are investigated. Finally, numerical experiment is presented which validates the theoretical results.eng
dc.description.versionpublishedeng
dc.identifier.doi10.1051/cocv/2017001eng
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/56312
dc.language.isoengeng
dc.rightsterms-of-use
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/
dc.subjectReceding horizon Control, model predictive Control, asymptotic stability, infinite-dimensional systemseng
dc.subject.ddc510eng
dc.titleOn the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive controleng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Azmi2018semig-56312,
  year={2018},
  doi={10.1051/cocv/2017001},
  title={On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control},
  number={1},
  volume={24},
  issn={1292-8119},
  journal={ESAIM: Control, Optimisation and Calculus of Variations},
  pages={237--263},
  author={Azmi, Behzad and Boulanger, Anne-Céline and Kunisch, Karl}
}
kops.citation.iso690AZMI, Behzad, Anne-Céline BOULANGER, Karl KUNISCH, 2018. On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control. In: ESAIM: Control, Optimisation and Calculus of Variations. EDP Sciences. 2018, 24(1), pp. 237-263. ISSN 1292-8119. eISSN 1262-3377. Available under: doi: 10.1051/cocv/2017001deu
kops.citation.iso690AZMI, Behzad, Anne-Céline BOULANGER, Karl KUNISCH, 2018. On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control. In: ESAIM: Control, Optimisation and Calculus of Variations. EDP Sciences. 2018, 24(1), pp. 237-263. ISSN 1292-8119. eISSN 1262-3377. Available under: doi: 10.1051/cocv/2017001eng
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kops.sourcefieldESAIM: Control, Optimisation and Calculus of Variations. EDP Sciences. 2018, <b>24</b>(1), pp. 237-263. ISSN 1292-8119. eISSN 1262-3377. Available under: doi: 10.1051/cocv/2017001deu
kops.sourcefield.plainESAIM: Control, Optimisation and Calculus of Variations. EDP Sciences. 2018, 24(1), pp. 237-263. ISSN 1292-8119. eISSN 1262-3377. Available under: doi: 10.1051/cocv/2017001deu
kops.sourcefield.plainESAIM: Control, Optimisation and Calculus of Variations. EDP Sciences. 2018, 24(1), pp. 237-263. ISSN 1292-8119. eISSN 1262-3377. Available under: doi: 10.1051/cocv/2017001eng
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source.identifier.eissn1262-3377eng
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source.periodicalTitleESAIM: Control, Optimisation and Calculus of Variationseng
source.publisherEDP Scienceseng

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