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arXiv · 2202.00300

Higher order Goh conditions for singular extremals of corank 1

Francesco Boarotto·Roberto Monti·Alessandro Socionovo
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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.

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Francesco Boarotto, Roberto Monti, Alessandro Socionovo. 2022-02-01. Higher order Goh conditions for singular extremals of corank 1. https://arxiv.org/abs/2202.00300

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