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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.3 Antofagasta Aug. 2019

http://dx.doi.org/10.22199/issn.0717-6279-2019-03-0032 

Articles

Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ

1Yildiz Technical University, Department of Mathematics, Davutpasa Campus, 34220, Istanbul, Turkey. e-mail : akhansen@ase.au.dk

2Yildiz Technical University, Department of Mathematics, Davutpasa Campus, 34220, Istanbul, Turkey. e-mail : mahmut.kudeyt@isikun.edu.tr

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; Affine algebra; Automorphism; Derivation; Free nilpotent Lie group

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Acknowledgement

The second author was supported by TUBITAK- The Scientific and Technological Research Council of Turkey.

References

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Received: April 2018; Accepted: November 2018

Creative Commons License This is an open-access article distributed under the terms of the Creative Commons Attribution License