The category of affine connection control systems is one whose objects are control affine systems whose drift vector field is the geodesic spray of an affine connection, and whose control vector fields are vertical lifts to the tangent bundle of vector fields on configuration space. This class of system includes a large and important collection of mechanical systems. The morphisms (feedback transformations) in this category are investigated.

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Last Updated: Fri Mar 15 08:08:35 2024