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Artículo
Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
dc.creator | Coron, Jean Michel | es |
dc.creator | Vázquez Valenzuela, Rafael | es |
dc.creator | Krstic, Miroslav | es |
dc.creator | Bastin, Georges | es |
dc.date.accessioned | 2017-04-19T15:02:41Z | |
dc.date.available | 2017-04-19T15:02:41Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Coron, 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.issn | 03630129 | es |
dc.identifier.uri | http://hdl.handle.net/11441/57910 | |
dc.description.abstract | In 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.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Control and Optimization, 51 (3), 2005-2035. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonlinear hyperbolic systems | es |
dc.subject | Boundary conditions | es |
dc.subject | Stability | es |
dc.subject | Lyapunov function | es |
dc.subject | Backstepping | es |
dc.subject | Method of characteristics | es |
dc.subject | Integral equation | es |
dc.subject | Goursat problem | es |
dc.title | Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos | es |
dc.relation.publisherversion | http://epubs.siam.org/doi/abs/10.1137/120875739 | es |
dc.identifier.doi | 10.1137/120875739 | es |
idus.format.extent | 31 p. | es |
dc.journaltitle | SIAM Journal on Control and Optimization | es |
dc.publication.volumen | 51 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 2005 | es |
dc.publication.endPage | 2035 | es |