Rapid exponential stabilization of a Boussinesq system of KdV-KdV Type

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dc.contributor.authorCapistrano-Filho, Roberto de A.
dc.contributor.authorCerpa, Eduardo
dc.contributor.authorGallego, Fernando A.
dc.date.accessioned2025-01-20T20:20:57Z
dc.date.available2025-01-20T20:20:57Z
dc.date.issued2023
dc.description.abstractThis paper studies the exponential stabilization of a Boussinesq system describing the two-way propagation of small amplitude gravity waves on the surface of an ideal fluid, the so-called Boussinesq system of the Korteweg-de Vries type. We use a Gramian-based method introduced by Urquiza to design our feedback control. By means of spectral analysis and Fourier expansion, we show that the solutions of the linearized system decay uniformly to zero when the feedback control is applied. The decay rate can be chosen as large as we want. The main novelty of our work is that we can exponentially stabilize this system of two coupled equations using only one scalar input.
dc.fuente.origenWOS
dc.identifier.doi10.1142/S021919972150111X
dc.identifier.eissn1793-6683
dc.identifier.issn0219-1997
dc.identifier.urihttps://doi.org/10.1142/S021919972150111X
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92605
dc.identifier.wosidWOS:000849385000001
dc.issue.numero3
dc.language.isoen
dc.revistaCommunications in contemporary mathematics
dc.rightsacceso restringido
dc.subjectKdV-KdV system
dc.subjectGramian-based method
dc.subjectstabilization
dc.subjectfeedback control
dc.titleRapid exponential stabilization of a Boussinesq system of KdV-KdV Type
dc.typeartículo
dc.volumen25
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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