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Preprints, Working Papers, ... Year : 2014

Hamilton-Jacobi equations for optimal control on multidimensional junctions

Salomé Oudet

Abstract

We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a union of half-planes which share a common straight line. This set will be named a junction. We define a notion of constrained viscosity solution of Hamilton-Jacobi equations on the junction and we propose a comparison principle whose proof is based on arguments from the optimal control theory.

Dates and versions

hal-01093112 , version 1 (10-12-2014)

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Salomé Oudet. Hamilton-Jacobi equations for optimal control on multidimensional junctions. 2014. ⟨hal-01093112⟩
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