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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/w
Subject	networks Control problems Optimal control problems involving ordinary differential equations viscosity solutions Hamilton-Jacobi equations Optimal control
Title	Hamilton-Jacobi equations for optimal control on junctions and networks
Date	2015-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/cocv140054/m/print http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/cocv140054/m/web
related by	http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/cocv140054/authorship/3 http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/cocv140054/authorship/2 http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/cocv140054/authorship/1
Author	Tchou, Nicoletta Achdou, Yves Oudet, Salomé
Abstract	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.
article type	research-article
publisher identifier	cocv140054
Date Copyrighted	2015-01-01(xsd:dateTime)
Rights	© EDP Sciences, SMAI, 2015
Rights Holder	EDP Sciences, SMAI
is part of this journal	ESAIM: Control, Optimisation and Calculus of Variations
is primary topic of	http://hub.abes.fr/edp/periodical/cocv/2015/volume_21/issue_3/cocv140054/w/record

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