This article has an erratum: [https://doi.org/10.1051/cocv/2016005]
Volume 21, Number 3, July-September 2015
|Page(s)||876 - 899|
|Published online||20 May 2015|
University Paris Diderot, Sorbonne Paris Cité, Laboratoire
Jacques-Louis Lions, UMR 7598, UPMC, CNRS, 75205
2 IRMAR, Université de Rennes 1, Rennes, France
3 IRMAR, Université de Rennes 1, Rennes, France
Revised: 26 September 2014
We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a network. A notion of viscosity solution of Hamilton–Jacobi equations on the network has been proposed in earlier articles. Here, we propose a simple proof of a comparison principle based on arguments from the theory of optimal control. We also discuss stability of viscosity solutions.
Mathematics Subject Classification: 34H05 / 49J15
Key words: Optimal control / networks / Hamilton–Jacobi equations / viscosity solutions
© EDP Sciences, SMAI, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.