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...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1998 |
| País: | Perú |
| Institución: | Pontificia Universidad Católica del Perú |
| Repositorio: | PUCP-Institucional |
| Idioma: | español |
| OAI Identifier: | oai:repositorio.pucp.edu.pe:20.500.14657/96429 |
| Acceso en línea: | http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8126/8418 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoría del Control Grupos de Lie Álgebras de Lie Matemáticas https://purl.org/pe-repo/ocde/ford#1.01.00 |
| 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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