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Decompositions for Control Systems on Manifolds with an Affine Connection + (In this letter we present a decomposition … In this letter we present a decomposition for control systems whose drift vector field</br>is the geodesic spray associated with an affine connection. With the geometric insight</br>gained with this decomposition, we are able to easily prove some special results for this</br>class of control systems. Examples illustrate the theory.l systems. Examples illustrate the theory.)