Jet bundles and algebro-geometric characterisations for controllability of affine systems

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...

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Bibliographic Details
Published in2008 47th IEEE Conference on Decision and Control pp. 1267 - 1274
Main Authors Aguilar, C.O., Lewis, A.D.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2008
Subjects
Algebra
Control systems
Controllability
Feedback
Linear systems
Nonlinear equations
Nonlinear systems
Optimal control
Transforms
Vectors
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Summary: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.
ISBN:9781424431236
1424431239
ISSN:0191-2216
DOI:10.1109/CDC.2008.4738696