Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Geometry of Optimal Control for Control-Affine Systems
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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| dc.contributor.author | Clelland, J.N. | |
| dc.contributor.author | Moseley, C.G. | |
| dc.contributor.author | Wilkens, G.R. | |
| dc.date.accessioned | 2019-02-19T18:35:52Z | |
| dc.date.available | 2019-02-19T18:35:52Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 58A30; 53C17; 58A15; 53C10 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2013.034 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149206 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This research was supported in part by NSF grants DMS-0908456 and DMS-1206272. We would like to thank the referees for many helpful suggestions, which significantly improved the organization and exposition of this paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Geometry of Optimal Control for Control-Affine Systems | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
