Controllability of discrete-time linear systems on lie groups with finite semisimple center

TL;DR

This paper establishes a controllability condition for discrete-time linear systems on Lie groups with finite semisimple center, illustrated through an example on SL_2(R).

Contribution

It introduces a new controllability criterion specific to Lie groups with finite semisimple center, expanding understanding in this mathematical control theory area.

Findings

Controllability condition for systems on Lie groups with finite semisimple center.

Application example on SL_2(R).

Abstract

In this paper we stated a condition for the controllability of discrete-time linear systems for the case when the Lie group has finite semisimple center and provided a example in the Lie group $SL_2(\mathbb{R})$.