Higher order Goh conditions for singular extremals of corank 1
Differential Geometry
2024-02-06 v3 Optimization and Control
Abstract
We prove Goh conditions of order n for strictly singular length minimizing curves of corank 1, under the assumption that the lower order intrinsic differentials of the end-point map vanish. This result relies upon the proof of an open mapping theorem for maps with non-singular nth differential.
Keywords
Cite
@article{arxiv.2202.00300,
title = {Higher order Goh conditions for singular extremals of corank 1},
author = {Francesco Boarotto and Roberto Monti and Alessandro Socionovo},
journal= {arXiv preprint arXiv:2202.00300},
year = {2024}
}