Geometric local controllability: second-order conditions

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 27 Aug 2003Publisher:IEEEJournal:Proceedings of the 41st IEEE Conference on Decision and Control, 2002., volume 1, pages 368-369

Authors: Ronald M. Hirschorn; Andrew D. Lewis;

doi: 10.1109/cdc.2002.1184521

Geometric local controllability: second-order conditions

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Abstract

The notion of a control-affine system is abstracted to its geometric essence: an affine subbundle. The notions of control systems and controllability are presented, and general second-order conditions for local controllability are given. The conditions are notable in that their hypotheses involve only the affine subbundle, and objects directly related to it. In this way the conditions we give are guaranteed to be independent of feedback transformations.

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Queen's University
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