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.
| Identifer | oai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/96429 |
| Date | 25 September 2017 |
| Creators | Gül, Erdal |
| Publisher | Pontificia Universidad Católica del Perú |
| Source Sets | Pontificia Universidad Católica del Perú |
| Language | Español |
| Detected Language | English |
| Type | Artículo |
| Format | |
| Source | Pro Mathematica; Vol. 12, Núm. 23-24 (1998); 17-22 |
| Rights | Artículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/ |
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