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dc.contributor.authorFrankowska, Halina
dc.contributor.authorQuincampoix, Marc
dc.date.accessioned2011-06-06T08:29:27Z
dc.date.available2011-06-06T08:29:27Z
dc.date.issued1999
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6421
dc.language.isoenen
dc.subjectIsaacs' equationen
dc.subjectH∞ problemen
dc.subjectContingent and viscosity solutions to PDEsen
dc.subject.ddc515en
dc.titleDissipative Control Systems and Disturbance Attenuation for Nonlinear H ∞ Problemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe characterize functions satisfying a dissipative inequality associated with a control problem. Such a characterization is provided in terms of an epicontingent solution, or a viscosity supersolution to a partial differential equation called Isaacs' equation. Links between supersolutions and epicontingent solutions to Isaacs' equation are studied. Finally, we derive (possibly discontinuous) disturbance attenuation feedback of the H ∞ problem from contingent formulation of Isaacs' equation.en
dc.relation.isversionofjnlnameApplied Mathematics and Optimization
dc.relation.isversionofjnlvol40en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1999
dc.relation.isversionofjnlpages163-181en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s002459900120en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


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