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

Autor(es)

Ayala, Victor ^[1] ; Da Silva, Adriano ^[2]

Afiliação do(s) autor(es)

^[1] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica - Chile

^[2] Univ Estadual Campinas, Inst Matemat, Cx Postal 6065, BR-13081970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Differential Equations; v. 268, n. 11, p. 6683-6701, MAY 15 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/10696-6 - Sistemas de controle em grupos de Lie e espaços homogêneos
• Beneficiário: Adriano João da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular