A semigroup associated to a linear control system on a Lie group

作者：Ayala Victor^*; Da Silva Adriano

来源：Systems & Control Letters, 2016, 98: 33-36.

DOI：10.1016/j.sysconle.2016.09.021

• Linear control systems
• Semigroups
• Controllability
• Lie groups

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(Sigma) 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.

• 出版日期2016-12