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.
Keywords
Controllability
Mathematics
Lie algebra
Nilpotent
Affine transformation
Pure mathematics
Lie group
Automorphism
Affine representation
Simple Lie group
Discrete mathematics
Algebra over a field
Affine Lie algebra
Applied mathematics
Current algebra
Subject Areas
Advanced Algebra and Geometry
·Mathematical Physics ·Physical Sciences
Advanced Topics in Algebra
·Algebra and Number Theory ·Physical Sciences
Advanced Differential Geometry Research
·Astronomy and Astrophysics ·Physical Sciences
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