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

Autor(es)

Ayala, Victor ; Da Silva, Adriano

• Tipo de documento: Artigo Científico
• Fonte: SYSTEMS & CONTROL LETTERS; v. 98, p. 33-36, DEC 2016.
• Citações Web of Science: 1

Resumo

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. (C) 2016 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 16/11135-2 - Sistemas lineares em grupos de Lie e estruturas quase-Riemannianas
• Beneficiário: Adriano João da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular