Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/327040
Type: Artigo
Title: Control Sets Of Linear Systems On Lie Groups
Author: Ayala
Victor; Da Silva
Adriano; Zsigmond
Guilherme
Abstract: Like in the classical linear Euclidean system, we would like to characterize for a linear control system on a connected Lie group G its control set with nonempty interior that contains the identity of G. We show that many topological properties of this control set are intrinsically connected with the eigenvalues of a derivation associated to the drift of the system. In particular, we prove that if G is a decomposable Lie group there exists only one control set with nonempty interior for the whole linear system. Furthermore, for nilpotent Lie groups we characterize when this set is bounded.
Subject: Control Sets
Linear Systems
Lie Groups
Editor: Springer Basel AG
Basel
Rights: fechado
Identifier DOI: 10.1007/s00030-017-0430-5
Address: https://link.springer.com/article/10.1007/s00030-017-0430-5
Date Issue: 2017
Appears in Collections:Unicamp - Artigos e Outros Documentos

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