Controllability of affine control systems on graded Lie groups
Keywords:
Affine control systems, free nilpotent Lie algebra, graded Lie algebra, invariant control systems.Abstract
This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector fields of theinduced invariant system generate free nilpotent Lie algebra.References
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