Affine and bilinear systems on Lie groups

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Author(s):	Ayala, Victor ^{[1, 2]} ; Da Silva, Adriano ^[3] ; Ferreira, Max ^[4] Total Authors: 3
Affiliation:	^[1] Univ Tarapaca, Sede Esmeralda, Inst Alta Invest, Luis Emilio Recabarren 2477, Iquique - Chile ^[2] Univ Catolica Norte, Dept Matemat, Av Angamos 0610, Antofagasta - Chile ^[3] Univ Estadual Campinas, Inst Matemat, Cx Postal 6065, BR-13081970 Campinas, SP - Brazil ^[4] Univ Fed Roraima, Dept Matemat, Av Capitao Ene Garcez, 2413 Aeroporto, BR-69310000 Boa Vista, PR - Brazil Total Affiliations: 4
Document type:	Journal article
Source:	SYSTEMS & CONTROL LETTERS; v. 117, p. 23-29, JUL 2018.
Web of Science Citations:	1
Abstract
In this paper we study affine and bilinear systems on Lie groups. We show that there is an intrinsic connection between the solutions of both systems. Such relation allows us to obtain some preliminary controllability results of affine systems on compact and solvable Lie groups. We also show that the controllability property of bilinear systems is very restricted and may only be achieved if the state space G is an Euclidean space. (C) 2018 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