Controllability of affine control systems on graded Lie groups



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.


Affine control systems; free nilpotent Lie algebra; graded Lie algebra; invariant control systems.

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