Title: High-order variations for families of vector fields (27 pages)
Author(s): Ron M. Hirschorn and Andrew D. Lewis
Detail: SIAM Journal on Control and Optimization, 43(1), pages 301-324, 2004
Journal version: Download

Original manuscript: 2002/01/06
Manuscript last revised: 2003/08/12

Sufficient conditions involving Lie brackets of arbitrarily high-order are obtained for local controllability of families of vector fields. After providing a general framework for the generation of high-order control variations, a specific method for generating such variations is proposed. The theory is applied to a number of nontrivial examples.

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Last Updated: Fri Jul 10 07:16:28 2020

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