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

Víctor Ayala,Adriano Da Silva

doi:10.1016/j.jde.2019.11.054

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

Víctor Ayala, Adriano Da Silva

Open Access

https://doi.org/10.1016/j.jde.2019.11.054

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Journal: Journal of Differential Equations	Publication Date: Nov 25, 2019
Citations: 11	License type: publisher-specific-oa

Affiliation: University of Tarapacá, Universidade Estadual de Campinas

#Dimensional Lie Group #Control Set + Show 8 more

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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.

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