Trajectories of the ε-perturbed optimal control problem in R² converge subsequentially to the network Γ, and in the Eikonal case the value functions converge to the value function of the corresponding network optimal control problem.
Institut National des Sciences Appliqu´ ees de Rennes, 2023
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Approximation of an optimal control problem on a network with a perturbed problem in the whole space
Trajectories of the ε-perturbed optimal control problem in R² converge subsequentially to the network Γ, and in the Eikonal case the value functions converge to the value function of the corresponding network optimal control problem.