High-order variations for families of vector fields
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Date
2002
Authors
Hirschorn, Ron M.
Lewis, Andrew D.
Keyword
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.