Controllability of linear systems on non-abelian compact lie groups
Abstract
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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How to Cite
Gül, E. (1998). Controllability of linear systems on non-abelian compact lie groups. Pro Mathematica, 12(23-24), 17-22. Retrieved from https://revistas.pucp.edu.pe/index.php/promathematica/article/view/8126
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