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 |
| Published: |
Wiley
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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| _version_ | 1832559417790300160 |
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| author | Camelia Pop Arieşanu |
| author_facet | Camelia Pop Arieşanu |
| author_sort | Camelia Pop Arieşanu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-5ca4cd758a194870ab53596ef795f024 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5ca4cd758a194870ab53596ef795f0242025-02-03T01:30:11ZengWileyJournal 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 |
| spellingShingle | Camelia Pop Arieşanu An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group Journal of Applied Mathematics |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2012/341470 |
| work_keys_str_mv | AT cameliapopariesanu anunderactuateddriftfreeleftinvariantcontrolsystemonaspecificliegroup AT cameliapopariesanu underactuateddriftfreeleftinvariantcontrolsystemonaspecificliegroup |