Title :
The category of affine connection control systems
Author :
Lewis, Andrew D.
Author_Institution :
Dept. of Math. & Stat., Queen´´s Univ., Kingston, Ont., Canada
Abstract :
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
Keywords :
feedback; large-scale systems; mechanical variables control; affine connection control systems; control vector fields; drift vector field; factor systems; feedback transformations; geodesic spray; morphisms; subsystems; tangent bundle; vertical lifts; Control systems; Ear; Feedback; Geometry; Kinetic energy; Mathematics; Mechanical systems; Physics; Spraying; Statistics;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914762
