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

2016/05/03 by Ayala, Victor, da Silva, Adriano
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.00726

Abstract

Let us consider a linear control system Σon 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 Σwhich turns out to be a semigroup, allowing the use of the semigroup machinery to approach Σ. In particular, we obtain some controllability results.

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