Necessary conditions for local controllability of a particular class of systems with two scalar controls
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
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| _version_ | 1866917601801666560 |
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| author | Giraldi, Laetitia Lissy, Pierre Moreau, Clément Pomet, Jean-Baptiste |
| author_facet | Giraldi, Laetitia Lissy, Pierre Moreau, Clément Pomet, Jean-Baptiste |
| contents | We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local controllability around this equilibrium, involving the iterated Lie brackets of the system vector fields, with controls that are either bounded, small in L $\infty$ or small in W 1,$\infty$. These results are illustrated with several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_04706 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Necessary conditions for local controllability of a particular class of systems with two scalar controls Giraldi, Laetitia Lissy, Pierre Moreau, Clément Pomet, Jean-Baptiste Optimization and Control We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local controllability around this equilibrium, involving the iterated Lie brackets of the system vector fields, with controls that are either bounded, small in L $\infty$ or small in W 1,$\infty$. These results are illustrated with several examples. |
| title | Necessary conditions for local controllability of a particular class of systems with two scalar controls |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/1907.04706 |