High-order variations for families of vector fields

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Date
2002
Author
Hirschorn, Ron M.
Lewis, Andrew D.
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Abstract
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.
URI
http://hdl.handle.net/1974/51
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