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dc.creatorCoron, Jean Micheles
dc.creatorVázquez Valenzuela, Rafaeles
dc.creatorKrstic, Miroslaves
dc.creatorBastin, Georgeses
dc.date.accessioned2017-04-19T15:02:41Z
dc.date.available2017-04-19T15:02:41Z
dc.date.issued2013
dc.identifier.citationCoron, J.M., Vázquez Valenzuela, R., Krstic, M. y Bastin, G. (2013). Local Exponential ^2$ Stabilization of a \times2$ Quasilinear Hyperbolic System Using Backstepping. SIAM Journal on Control and Optimization, 51 (3), 2005-2035.
dc.identifier.issn03630129es
dc.identifier.urihttp://hdl.handle.net/11441/57910
dc.description.abstractIn this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 system of first-order hyperbolic PDEs. We design a new full-state feedback control law, with actuation on only one end of the domain, which achieves H2 exponential stability of the closedloop system. Our proof uses a backstepping transformation to find new variables for which a strict Lyapunov function can be constructed. The kernels of the transformation are found to verify a Goursat-type 4 × 4 system of first-order hyperbolic PDEs, whose well-posedness is shown using the method of characteristics and successive approximations. Once the kernels are computed, the stabilizing feedback law can be explicitly constructed from them.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSociety for Industrial and Applied Mathematicses
dc.relation.ispartofSIAM Journal on Control and Optimization, 51 (3), 2005-2035.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNonlinear hyperbolic systemses
dc.subjectBoundary conditionses
dc.subjectStabilityes
dc.subjectLyapunov functiones
dc.subjectBacksteppinges
dc.subjectMethod of characteristicses
dc.subjectIntegral equationes
dc.subjectGoursat problemes
dc.titleLocal Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backsteppinges
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidoses
dc.relation.publisherversionhttp://epubs.siam.org/doi/abs/10.1137/120875739es
dc.identifier.doi10.1137/120875739es
idus.format.extent31 p.es
dc.journaltitleSIAM Journal on Control and Optimizationes
dc.publication.volumen51es
dc.publication.issue3es
dc.publication.initialPage2005es
dc.publication.endPage2035es

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