Hessians in Birkhoff-Theoretic Trajectory Optimization

What is it about?

This note is part of an ongoing advancement in fast and accurate methods for trajectory optimization. Fast trajectory optimization is a core enabling technology for semi-autonomous flight operations. This note delves deep into the innermost component of a trajectory optimization method and develops a theorem that holds across the space of all trajectory optimization problems. It is shown that solving a million point trajectory optimization problem is well within reach.

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