Title: The category of affine connection control systems (25 pages)
Author(s): Andrew D. Lewis
Detail: Proceedings of the 39th IEEE Conference on Decision and Control, December 2000, pages 5119-5124
Conference proceedings version: Download

The category of affine connection control systems is one whose objects are control 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. We initiate an investigation of morphisms (feedback transformations) in this category, including the study of subsystems and factor systems.

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Last Updated: Fri Oct 27 08:35:33 2017


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