8 citations · 45 across the 21 of their papers we have counts for
Showing math.OCShow all
2 papers · 1 filter
math.OC2009
Continuity of Optimal Control Costs and its application to Weak KAM Theory
A. Agrachev, P. Lee
We prove continuity of certain cost functions arising from optimal control of affine control systems. We give sharp sufficient conditions for this continuity. As an application, we…
math.OC2007★ 2 cited
Optimal Transportation under Nonholonomic Constraints
Andrei Agrachev, Paul Lee
We study Monge's optimal transportation problem, where the cost is given by optimal control cost. We prove the existence and uniqueness of an optimal map under certain regularity c…