dc.contributor.author | Nutz, Marcel | |
dc.contributor.author | Bouchard, Bruno | |
dc.date.accessioned | 2011-05-30T09:37:40Z | |
dc.date.available | 2011-05-30T09:37:40Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/6352 | |
dc.language.iso | en | en |
dc.subject | Comparison theorem | en |
dc.subject | Viscosity solution | en |
dc.subject | Hamilton-Jacobi-Bellman equation | en |
dc.subject | Expectation constraint | en |
dc.subject | State constraint | en |
dc.subject | Weak dynamic programming | en |
dc.subject.ddc | 519 | en |
dc.title | Weak Dynamic Programming for Generalized State Constraints | en |
dc.type | Article accepté pour publication ou publié | |
dc.contributor.editoruniversityother | Department of Mathematics Swiss Federal Institute of Technology in Zurich;Suisse | |
dc.contributor.editoruniversityother | Centre de Recherche en Économie et Statistique (CREST);France | |
dc.description.abstracten | We provide a dynamic programming principle for stochastic optimal control problems with expectation constraints. A weak formulation, using test functions and a probabilistic relaxation of the constraint, avoids restrictions related to a measurable selection but still implies the Hamilton-Jacobi-Bellman equation in the viscosity sense. We treat open state constraints as a special case of expectation constraints and prove a comparison theorem to obtain the equation for closed state constraints. | en |
dc.relation.isversionofjnlname | SIAM Journal on Control and Optimization | |
dc.relation.isversionofjnlvol | 50 | |
dc.relation.isversionofjnlissue | 6 | |
dc.relation.isversionofjnldate | 2012 | |
dc.relation.isversionofjnlpages | 3344-3373 | |
dc.relation.isversionofdoi | http://dx.doi.org/10.1137/110852942 | |
dc.description.sponsorshipprivate | oui | en |
dc.relation.isversionofjnlpublisher | SIAM | |
dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |