Decomposition for Control Systems on Manifolds with an Affine ConnectionLewis, 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:
AbstractIn 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.
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