Controllability of linear systems on non-abelian compact lie groups
| Autor: | Gül, Erdal |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Pro Mathematica; Vol. 12, Núm. 23-24 (1998); 17-22 |
| Druh dokumentu: | Artículo |
| Popis: | 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. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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