2 research outputs found
A Semigroup associated to a linear control system on a Lie group
Let us consider a linear control system \Sigma on a connected Lie group G. It
is known that the accessibility set A from the identity e is in general not a
semigroup. In this article we associate a new algebraic object S to \Sigma
which turns out to be a semigroup, allowing the use of the semigroup machinery
to approach \Sigma. In particular, we obtain some controllability results