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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Ayala, Victor¹  Da Silva, Adriano² 

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

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

关键词: Linear control systems;    Solvable Lie group;   

DOI  :  10.1016/j.jde.2019.11.054

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free