%0 Journal Article
%T The Mayer and Minimum Time Problems with Stratified State Constraints *
%+ Departamento de Matematicas, Univesidad Tecnica Federico Santa-Maria (Valparaiso)
%+ Department of Mathematics [Baton Rouge] (LSU Mathematics)
%+ Optimisation et commande (OC)
%A Hermosilla, C.
%A Wolenski, P.R.
%A Zidani, Hasnaa
%< avec comité de lecture
%@ 1877-0533
%J Set-Valued and Variational Analysis
%I Springer
%8 2017
%D 2017
%R 10.1007/s11228-017-0413-z
%K minimal time function
%K Hamilton-Jacobi equations
%K State constraints
%K stratified structure
%K Mayer problem
%Z Mathematics [math]/Optimization and Control [math.OC]
%Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles
%X This paper studies optimal control problems with state constraints by imposing structural assumptions on the constraint domain coupled with a tangential restriction with the dynamics. These assumptions replace pointing or controllability assumptions that are common in the literature, and provide a framework under which feasible boundary trajectories can be analyzed directly. The value functions associated with the state constrained Mayer and minimal time problems are characterized as solutions to a pair of Hamilton-Jacobi inequalities with appropriate boundary conditions. The novel feature of these inequalities lies in the choice of the Hamiltonian.
%G English
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01517510/document
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01517510/file/VERSIONMar2017.pdf
%L hal-01517510
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-01517510
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%~ UNIV-PARIS-SACLAY
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