%0 Journal Article
%T Discontinuous solutions of Hamilton-Jacobi equations on networks *
%+ Department of Mathematics, Baylor University
%+ Departamento de Matematicas, Univesidad Tecnica Federico Santa-Maria (Valparaiso)
%+ Optimisation et commande (OC)
%A Graber, Philip Jameson
%A Hermosilla, Cristopher
%A Zidani, Hasnaa
%< avec comité de lecture
%@ 0022-0396
%J Journal of Differential Equations
%I Elsevier
%V 263
%N 12
%P 8418-8466
%8 2017
%D 2017
%R 10.1016/j.jde.2017.08.040
%K Hamilton-Jacobi equations equations
%K stratified structure
%K Control problem on networks
%K state constraint problems
%K nonsmooth analysis
%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 on networks without controllability assumptions at the junctions. The Value Function associated with the control problem is characterized as solution to a system of Hamilton-Jacobi equations with appropriate junction conditions. The novel feature of the result lies in that the controllability conditions are not needed and the characterization remains valid even when the Value Function is not continuous.
%G English
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01363628/document
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01363628/file/Networks-DiscCase.pdf
%L hal-01363628
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-01363628
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%~ INSMI
%~ OPENAIRE
%~ SADCO
%~ SADCO_FELLOWS
%~ UMA_ENSTA
%~ TDS-MACS
%~ UNIV-PARIS-SACLAY
%~ ENSTA-SACLAY
%~ ANR