Abstract
Controllability properties of affine control systems on free nilpotent Lie groups are examined and controllability of affine systems on thiskind of Lie groups are characterized by the help of their associated bilinear parts. In order to show this, an automorphism in the algebra level is found, authomosrpism orbit of the system is calculated and its properties are studied.
Highlights
The subject matter of this article is to study controllability of affine control systems on free nilpotent Lie groups using their Lie algebra properties via their bilinear parts
We study controllability problem which is one of the most important classical problem in the area
We mean to reach all points of the state space from an initial point by using only positive time
Summary
The subject matter of this article is to study controllability of affine control systems on free nilpotent Lie groups using their Lie algebra properties via their bilinear parts. We generalize this approach to affine control systems on free nilpotent Lie groups which is the larger case. We will explain affine control systems on Lie groups.
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