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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. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1996.CIT-CDS-96-007

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Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechCDSTR:1996.CIT-CDS-96-007

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.


Item Type:Report or Paper (Technical Report)
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:1996.CIT-CDS-96-007
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.
ID Code:28011
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:15 Oct 2002
Last Modified:26 Dec 2012 14:28

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