A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A controllable drift-free system on the Lie group G=SO(3)×R3×R3 is considered.
The dynamics and geometrical properties of the corresponding reduced Hamilton’s equations on g∗,·,·- are studied, where ·,·- is the minus Lie-Poisson structure on the dual space g∗ of the Lie algebra g=so(3)×R3×R3 of G.
The numerical integration of this system is also discussed.
American Psychological Association (APA)
Arieşanu, Camelia Pop. 2015. A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074402
Modern Language Association (MLA)
Arieşanu, Camelia Pop. A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1074402
American Medical Association (AMA)
Arieşanu, Camelia Pop. A Drift-Free Left Invariant Control System on the Lie Group SO(3)×R3×R3. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1074402
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074402
