Title :
Jet bundles and algebro-geometric characterisations for controllability of affine systems
Author :
Aguilar, Ceéar O. ; Lewis, Andrew D.
Author_Institution :
Dept. of Math. & Stat., Queen´´s Univ., Kingston, ON, Canada
Abstract :
A geometric setting for studying control-affine systems is presented and a feedback-invariant approach to studying local controllability is introduced. The principal geometric object in this construction is a system-independent linear map which, when restricted to system-dependent data, describes a class of variations for the system. The resulting conditions for controllability take the form of algebraic equations on the jets of sections of certain vector bundles.
Keywords :
affine transforms; algebra; controllability; feedback; linear systems; algebraic equations; algebro-geometric characterisation; control-affine systems; controllability; feedback-invariant approach; jet bundles; local controllability; principal geometric object; system-independent linear map; Algebra; Control systems; Controllability; Feedback; Linear systems; Nonlinear equations; Nonlinear systems; Optimal control; Transforms; Vectors;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738696
