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dc.contributor.authorAubin, Jean-Pierre
dc.contributor.authorBayen, Alexandre M.
dc.contributor.authorSaint-Pierre, Patrick
dc.date.accessioned2014-08-26T14:04:05Z
dc.date.available2014-08-26T14:04:05Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13837
dc.language.isoenen
dc.subjectPDEen
dc.subject.ddc519en
dc.titleA viability approach to Hamilton-Jacobi equations: application to concave highway traffic flux functionsen
dc.typeCommunication / Conférence
dc.description.abstractenThis paper presents a new approach which links the solution to a particular Hamilton-Jacobi partial differential equation to the solution of an optimal control problem provided by viability theory. It constructs the solution to this partial differential equation through its hypograph, which is defined as the capture basin of a target under an auxiliary dynamics that we define. The target itself represents the hypograph of a desired function. It is applied to concave Hamiltonian functions and has implications for the control of conservation laws with concave flux functions. It is a building block towards controlling conservation laws with concave flux functions, though at this stage, the link with boundary control of hyperbolic conservation laws cannot be made explicitly.en
dc.identifier.citationpages3519-3524en
dc.relation.ispartoftitle44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. Proceedingsen
dc.relation.ispartofpublnameIEEEen
dc.relation.ispartofdate2005
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn0-7803-9567-0en
dc.relation.conftitle44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05.en
dc.relation.confdate2005-12
dc.relation.confcitySévilleen
dc.relation.confcountryEspagneen
dc.relation.forthcomingnonen
dc.identifier.doihttp://dx.doi.org/10.1109/CDC.2005.1582707en


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