Higher order Goh conditions for singular extremals of corank 1
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911770321354752 |
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| author | Boarotto, Francesco Monti, Roberto Socionovo, Alessandro |
| author_facet | Boarotto, Francesco Monti, Roberto Socionovo, Alessandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_00300 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Higher order Goh conditions for singular extremals of corank 1 Boarotto, Francesco Monti, Roberto Socionovo, Alessandro Differential Geometry Optimization and Control 46A30, 53C17 (Primary) 49K15, 93B17 (Secondary) 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. |
| title | Higher order Goh conditions for singular extremals of corank 1 |
| topic | Differential Geometry Optimization and Control 46A30, 53C17 (Primary) 49K15, 93B17 (Secondary) |
| url | https://arxiv.org/abs/2202.00300 |