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
CAMILLI, FABIO;
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. © 2011 IFAC.File in questo prodotto:
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