OUTPUT FEEDBACK CONTROL OF A CASCADE SYSTEM OF LINEAR KORTEWEG-DE VRIES EQUATIONS

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dc.contributor.authorKitsos, Constantinos
dc.contributor.authorCerpa, Eduardo
dc.contributor.authorBesancon, Gildas
dc.contributor.authorPrieur, Christophe
dc.date.accessioned2025-01-20T22:08:51Z
dc.date.available2025-01-20T22:08:51Z
dc.date.issued2021
dc.description.abstractThis paper is about the stabilization of a cascade system of n linear Korteweg-de Vries equations in a bounded interval. It considers an output feedback control placed at the left endpoint of the last equation, while the output involves only the solution to the first equation. The boundary control problems investigated include two cases: a classical control on the Dirichlet boundary condition and a less standard one on its second-order derivative. The feedback control law utilizes the estimated solutions of a high-gain observer system, and the output feedback control leads to stabilization for any n for the first boundary conditions case and for n = 2 for the second one.
dc.fuente.origenWOS
dc.identifier.doi10.1137/20M1350066
dc.identifier.eissn1095-7138
dc.identifier.issn0363-0129
dc.identifier.urihttps://doi.org/10.1137/20M1350066
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/94310
dc.identifier.wosidWOS:000692322700024
dc.issue.numero4
dc.language.isoen
dc.pagina.final2976
dc.pagina.inicio2955
dc.revistaSiam journal on control and optimization
dc.rightsacceso restringido
dc.subjectKorteweg-de Vries equation
dc.subjectcascade systems
dc.subjectoutput feedback control
dc.titleOUTPUT FEEDBACK CONTROL OF A CASCADE SYSTEM OF LINEAR KORTEWEG-DE VRIES EQUATIONS
dc.typeartículo
dc.volumen59
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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