Some Condition of Control on sl(3,ℝ)

In this paper we present some original contributions to the problem of controllability of bilinear systems control whose dynamics is determined by elements that lie on the Lie algebra of special linear Lie group. Our study provides a sufficient condition for controllability of homogeneous bilinear systems, when the state variable dynamic modeling lies on the three-dimensional space. Such a condition is a contribution to the theory of geometric control.