A trajectory-based tropical low-rank approximation generates monotone lower bounds for value functions in N-body optimal control that converge to the exact value at the initial state and optimal trajectory, scaling to dimension 200.
An efficient dp algorithm on a tree-structure for finite horizon optimal control problems
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Tropical low-rank approximation and application to optimal control of N-body systems
A trajectory-based tropical low-rank approximation generates monotone lower bounds for value functions in N-body optimal control that converge to the exact value at the initial state and optimal trajectory, scaling to dimension 200.