2023/01/31 by Thiago Cavalheiro, Alexandre Santana, Cavalheiro, Thiago +4
Mathematics · Engineering · Physics and Astronomy · #Advanced Algebra and Geometry #Control and Dynamics of Mobile Robots #Advanced Differential Geometry Research
paper · pdf · doi:10.48550/arxiv.2302.00145
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.