Biggs, J.D. and Holderbaum, W. (2005) The geometry of optimal control solutions on some six dimensional lie groups. In: 44th IEEE Conference on Decision and Control and European Control Conference, 2005-12-12 - 2005-12-15, Seville.
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1109/CDC.2005.1582359
Abstract
This paper examines optimal solutions of control systems with drift defined on the orthonormal frame bundle of particular Riemannian manifolds of constant curvature. The manifolds considered here are the space forms Euclidean space E3, the spheres S3 and hyperboloids H3 with the corresponding frame bundles equal to the Euclidean group of motions SE(3), the rotation group SO(4) and the Lorentz group SO.
| Item type: | Conference or Workshop Item (Paper) |
|---|---|
| ID code: | 9430 |
| Keywords: | lie groups, optimal control , control systems, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Physics |
| Subjects: | Technology > Mechanical engineering and machinery Technology > Motor vehicles. Aeronautics. Astronautics Science > Physics |
| Department: | Faculty of Engineering > Mechanical and Aerospace Engineering |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 20 Jul 2011 12:19 |
| Last modified: | 04 Oct 2012 17:16 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/9430 |
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