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

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 fou...

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Autores principales: Hansen,Ayse Kara, Kudeyt,Mahmut
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2019
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300499
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spelling oai:scielo:S0716-091720190003004992019-08-28Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣHansen,Ayse KaraKudeyt,Mahmut Controllability Affine algebra Automorphism Derivation Free nilpotent Lie group 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.3 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300499en10.22199/issn.0717-6279-2019-03-0032
institution Scielo Chile
collection Scielo Chile
language English
topic Controllability
Affine algebra
Automorphism
Derivation
Free nilpotent Lie group
spellingShingle Controllability
Affine algebra
Automorphism
Derivation
Free nilpotent Lie group
Hansen,Ayse Kara
Kudeyt,Mahmut
Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ
description 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.
author Hansen,Ayse Kara
Kudeyt,Mahmut
author_facet Hansen,Ayse Kara
Kudeyt,Mahmut
author_sort Hansen,Ayse Kara
title Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ
title_short Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ
title_full Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ
title_fullStr Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ
title_full_unstemmed Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣ
title_sort controllability of affine systems on free nilpotent lie groups gm,ᵣ
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2019
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300499
work_keys_str_mv AT hansenaysekara controllabilityofaffinesystemsonfreenilpotentliegroupsgm7523
AT kudeytmahmut controllabilityofaffinesystemsonfreenilpotentliegroupsgm7523
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