Controllability of linear systems on non-abelian compact lie groups
In this paper, we shall deal with a linear control system ∑ defined on a Lie group G with Lie algebra L(G). We prove that, if G is a compact connected Lie group, then the vector fields associated to dynamic of ∑ are conservative, and that if G is also non-Abelian then, by using Poincare Theorem, ∑ i...
| Autor Principal: | Gül, Erdal |
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| Formato: | Artículo |
| Idioma: | spa |
| Publicado: |
Pontificia Universidad Católica del Perú
2014
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| Materias: | |
| Acceso en línea: |
http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8126/8418 |
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| Sumario: |
In this paper, we shall deal with a linear control system ∑ defined on a Lie group G with Lie algebra L(G). We prove that, if G is a compact connected Lie group, then the vector fields associated to dynamic of ∑ are conservative, and that if G is also non-Abelian then, by using Poincare Theorem, ∑ is transitive if and only if it is controllable. |
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