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. © 2011 IFAC.
Hamilton-Jacobi equations on networks / Y., Achdou; Camilli, Fabio; A., Cutri'; N., Tchou. - ELETTRONICO. - 18:PART 1(2011), pp. 2577-2582. (Intervento presentato al convegno 18th IFAC World Congress tenutosi a Milan; Italy nel 28 August 2011 through 2 September 2011) [10.3182/20110828-6-it-1002.01084].
Hamilton-Jacobi equations on networks
CAMILLI, FABIO;
2011
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. © 2011 IFAC.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
