Title: Jet bundles and algebro-geometric characterisations for controllability of affine systems (20 pages)
Detail: 47th IEEE Conference on Decision and Control, Cancun, 2008/12/09

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.

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Last Updated: Fri Jul 10 09:23:01 2020

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