Title :
The Geometry of Optimal Control Solutions on some Six Dimensional Lie Groups
Author :
Biggs, James ; Holderbaum, William ; Holderbaum, William
Author_Institution :
School of System Engineering, University of Reading, Reading RG2, England. Email: j.biggs@rdg.ac.uk
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 S3and hyperboloids H3with the corresponding frame bundles equal to the Euclidean group of motions SE(3), the rotation group SO(4) and the Lorentz group SO
Keywords :
Airplanes; Algebra; Control systems; Geometry; Kinematics; Manifolds; Mathematical model; Optimal control; Physics; Systems engineering and theory;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582359
