Controllability of affine control systems on Carnot groups
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Abstract (EN)
Let G be a simply connected nilpotent Lie group and L(G) be its Lie algebra. If vector fields of L(G) produce the algebra such that for , and , then G is called a Carnot group. For the controllability of affine control systems defined on this group, connections of existence singular points of the system and controllability of associated bilinear part has been characterized.Moreover; centers, regular elements and free nilpotent generators of all nilpotent Lie algebras of up to dimension 6 has been calculated and listed in tables.
Author
Memet Kule
How to Cite
Memet Kule (Doctorate thesis). Controllability of affine control systems on Carnot groups, 2008, Yıldız Technical University.
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