Optimal control theory provides a rigorous mathematical framework for determining control policies that guide dynamical systems towards a desired performance, often by minimising an associated cost ...
SIAM Journal on Numerical Analysis, Vol. 33, No. 4 (Aug., 1996), pp. 1534-1558 (25 pages) We are interested in the study of a fast algorithm introduced by Brenier computing the discrete ...
We study discounted Hamilton-Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians are continuous and coercive, we establish a comparison principle ...