arXiv:2511.13963
Hessians in Birkhoff-Theoretic Trajectory Optimization
Hessians in Birkhoff-Theoretic Trajectory Optimization
著者: I. M. Ross
分類: math.OC, cs.MS, cs.NA, cs.RO, math.NA
原文アブストラクト
This paper derives various Hessians associated with Birkhoff-theoretic methods for trajectory optimization. According to a theorem proved in this paper, approximately 80% of the eigenvalues are contained in the narrow interval [-2, 4] for all Birkhoff-discretized optimal control problems. A preliminary analysis of computational complexity is also presented with further discussions on the grand challenge of solving a million point trajectory optimization problem.