We study continuous-state continuous-time optimal control problems where the trajectories of the system are constrained on a network. We introduce a notion of weak solution for the corresponding Hamilton-Jacobi-Bellman equation and we prove that the value function is the unique solution.
Achdou, Y., Camilli, F., Cutri', A., Tchou, N. (2011). Hamilton-Jacobi equations on networks. In Proceedings of the 18th IFAC world Congress, 2011 (pp.2577-2582). Milano : Elsevier Science Limited:Oxford Fulfillment Cente [10.3182/20110828-6-IT-1002.01084].
Hamilton-Jacobi equations on networks
CUTRI', ALESSANDRA;
2011-01-01
Abstract
We study continuous-state continuous-time optimal control problems where the trajectories of the system are constrained on a network. We introduce a notion of weak solution for the corresponding Hamilton-Jacobi-Bellman equation and we prove that the value function is the unique solution.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
achdou_camilli_cutri_tchou_ifac.pdf
solo utenti autorizzati
Descrizione: articolo principale
Licenza:
Copyright dell'editore
Dimensione
301.28 kB
Formato
Adobe PDF
|
301.28 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons
