DocumentCode
2238047
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
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
1267
Lastpage
1274
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738696
Filename
4738696
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