Control sets of linear systems on semi-simple Lie groups

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Author(s):	Ayala, Victor ^{[1, 2]} ; Da Silva, Adriano ^[3] ; Jouan, Philippe ^[4] ; Zsigmond, Guilherme ^{[1, 4]} Total Authors: 4
Affiliation:	^[1] Univ Catolica Norte, Dept Matemat, Antofagasta - Chile ^[2] Univ Tarapaca, Inst Alta Invest, Arica - Chile ^[3] Univ Estadual Campinas, Inst Matemat, Campinas - Brazil ^[4] Univ Rouen, Lab Math Raphael Salem, CNRS, UMR 6085, Rouen - France Total Affiliations: 4
Document type:	Journal article
Source:	Journal of Differential Equations; v. 269, n. 1, p. 449-466, JUN 15 2020.
Web of Science Citations:	0
Abstract
In this paper we study the main properties of control sets with nonempty interior of linear systems on semisimple Lie groups. We show that, unlike the solvable case, linear systems on semisimple Lie groups may have more than one control set with nonempty interior and that they are contained in right translations of the one around the identity. (C) 2019 Elsevier Inc. 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


FAPESP's process:	18/10696-6 - Control systems on Lie groups and homogeneous spaces
Grantee:	Adriano João da Silva
Support Opportunities:	Regular Research Grants