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arXiv · 1605.00726

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

Victor Ayala·Adriano da Silva
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Abstract

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.

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Victor Ayala, Adriano da Silva. 2016-05-03. A Semigroup associated to a linear control system on a Lie group. https://arxiv.org/abs/1605.00726

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