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.
18th IFAC world Congress, 2011
Milano
2011
18
Sergio Bittanti (IT), Chair; Colaneri, Patrizio
Rilevanza internazionale
contributo
28-ago-2011
2011
Settore MAT/05 - ANALISI MATEMATICA
English
Optimal control theory; Control of constrained systems; Generalized solutions of Hamilton-Jacobi equations
Intervento a convegno
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].
Achdou, Y; Camilli, F; Cutri', A; Tchou, N
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90932
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