Title: The category of affine connection control systems (6 pages)
Detail: MTNS'02, South Bend, IN, 2002/08/15

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: Wed Jun 7 20:25:34 2017


Andrew D. Lewis (andrew at mast.queensu.ca)