Pontryagin Neural Networks for open-loop optimal control
Pontryagin Neural Networks (PoNNs) solve open-loop optimal-control problems by learning the state and costate trajectories that satisfy the Pontryagin minimum principle and the resulting two-point boundary-value problem.
The physics-informed formulation embeds differential equations, boundary conditions, path constraints, Lagrange multipliers, and complementary-slackness conditions. Applications include orbital transfers, rocket ascent, rendezvous, landing, interception, and other constrained mission-design problems.










