Caltech Control and Dynamical Systems Technical Reports

Decomposition for Control Systems on Manifolds with an Affine Connection

Lewis, Andrew D. and Murray, Richard M. (1996) Decomposition for Control Systems on Manifolds with an Affine Connection. Technical Report. California Institute of Technology. [CaltechCDSTR:1996.CIT-CDS-96-007]

Full text available as:

Other (PDF - - Optimized for printing (1.2MB))
Postscript - Requires a viewer, such as GhostView

Abstract

In this letter we present a decomposition for control systems whose drift vector field is the geodesic spray associated with an affine connection. With the geometric insight gained with this decomposition, we are able to easily prove some special results for this class of control systems. Examples illustrate the theory.

EPrint Type:Monograph (Technical Report)
Subjects:All Records
ID Code:12
Deposited By:Richard M. Murray
Deposited On:15 October 2002
Unique Identifier:CaltechCDSTR:1996.CIT-CDS-96-007
Official Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:1996.CIT-CDS-96-007
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

Archive Staff Only: edit this record