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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Ayala, Victor ; Da Silva, Adriano
Total Authors: 2
Document type: Journal article
Source: SYSTEMS & CONTROL LETTERS; v. 98, p. 33-36, DEC 2016.
Web of Science Citations: 1
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(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)

FAPESP's process: 16/11135-2 - Linear systems on Lie groups and almost-Riemannian structures
Grantee:Adriano João da Silva
Support Opportunities: Regular Research Grants