Control Sets Of Linear Systems On Lie Groups

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Type:	Artigo
Title:	Control Sets Of Linear Systems On Lie Groups Control sets of linear systems on Lie groups
Author:	Ayala, Víctor Silva, Adriano da 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. 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 co
Subject:	Control Sets Linear Systems Lie Groups Sistemas de controle linear Sistemas lineares Lie, Grupos de
Country:	Suiça
Editor:	Springer
Citation:	Nonlinear Differential Equations And Applications. Springer Basel Ag, v. 24, p. , 2017.
Rights:	fechado 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:	IMECC - Artigos e Outros Documentos

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