The control set of a linear control system on the two dimensional Lie group

Ayala, Victor; Da Silva, Adriano

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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.)

The control set of a linear control system on the two dimensional Lie group

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Author(s):	Ayala, Victor ^[1] ; Da Silva, Adriano ^[2] Total Authors: 2
Affiliation:	^[1] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica - Chile ^[2] Univ Estadual Campinas, Inst Matemat, Cx Postal 6065, BR-13081970 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Differential Equations; v. 268, n. 11, p. 6683-6701, MAY 15 2020.
Web of Science Citations:	0
Abstract
In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions. (C) 2019 Elsevier Inc. All rights reserved. (AU)

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

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