An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group
The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/341470 |
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Article |
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doaj-5ca4cd758a194870ab53596ef795f0242020-11-24T21:32:25ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/341470341470An Underactuated Drift-Free Left Invariant Control System on a Specific Lie GroupCamelia Pop Arieşanu0Math Department, “Politehnica” University of Timişoara, Piaţa Victoriei No. 2, 300006 Timişoara, RomaniaThe paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view.http://dx.doi.org/10.1155/2012/341470 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Camelia Pop Arieşanu |
| spellingShingle |
Camelia Pop Arieşanu An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group Journal of Applied Mathematics |
| author_facet |
Camelia Pop Arieşanu |
| author_sort |
Camelia Pop Arieşanu |
| title |
An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group |
| title_short |
An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group |
| title_full |
An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group |
| title_fullStr |
An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group |
| title_full_unstemmed |
An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group |
| title_sort |
underactuated drift-free left invariant control system on a specific lie group |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2012-01-01 |
| description |
The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view. |
| url |
http://dx.doi.org/10.1155/2012/341470 |
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