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arXiv · 2302.00145

Controllability of discrete-time linear systems on solvable Lie groups

Thiago Cavalheiro·Alexandre Santana·João Cossich·Victor Ayala
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Abstract

The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary and sufficient condition for controllability is established. Furthermore, the class of discrete-time linear systems in the two-dimensional affine Lie group is constructed and a condition for controllability of these systems is also stated.

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Thiago Cavalheiro, Alexandre Santana, João Cossich, Victor Ayala. 2023-01-31. Controllability of discrete-time linear systems on solvable Lie groups. https://arxiv.org/abs/2302.00145

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