Geometry of Optimal Control for Control-Affine Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Geometry of Optimal Control for Control-Affine Systems
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| Creator |
Clelland, J.N.
Moseley, C.G. Wilkens, G.R. |
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| Description |
Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric invariants for point-affine distributions of constant type with metric structures for systems with 2 states and 1 control and systems with 3 states and 1 control, and use Pontryagin's maximum principle to find geodesic trajectories for homogeneous examples. Even in these low dimensions, the behavior of these systems is surprisingly rich and varied.
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| Date |
2019-02-19T18:35:52Z
2019-02-19T18:35:52Z 2013 |
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| Type |
Article
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| Identifier |
Geometry of Optimal Control for Control-Affine Systems / J.N. Clelland, C.G. Moseley, G.R. Wilkens // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 6 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 58A30; 53C17; 58A15; 53C10 DOI: http://dx.doi.org/10.3842/SIGMA.2013.034 http://dspace.nbuv.gov.ua/handle/123456789/149206 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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