The chain control set of discrete-time linear system on the affine two-dimensional Lie group

2023/04/18 by Thiago Cavalheiro, Cavalheiro, Thiago, Alexandre Santana +3 · 1 citation
Computer Science · Engineering · #Control and Dynamics of Mobile Robots #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2304.08705

openalex publication_date 2023/04/18 · openalex created_date 2023/04/22 · openalex updated_date 2026/07/28

Abstract

In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine two-dimensional Lie group. More specifically, we prove that these chain control sets are given by the union of an infinite number of control sets with empty interiors.

Cited by

• Nonautonomous control systems and skew product flows

Related

• The chain control set of a linear control system
• The control set of a linear control system on the two dimensional solvable Lie group
• Controllability of discrete-time linear systems on solvable Lie groups
• Controllability of discrete-time linear systems on lie groups with finite semisimple center
• Control sets of linear systems on semi-simple Lie groups