Dynamics of LCSs on the group of proper motions
Victor Ayala, Adriano Da Silva, Alejandro Otero Robles
TL;DR
This paper analyzes the control behavior of linear systems on the group of proper motions, focusing on controllability and control sets within the $SE(2)$ group.
Contribution
It provides a characterization of controllability and control sets for linear control systems on the $SE(2)$ group, a topic not extensively covered before.
Findings
Characterization of controllability properties
Description of control sets on $SE(2)$
Insights into control behavior of linear systems on proper motions
Abstract
This article describes the control behavior of any linear control systems on the group of proper motions . It characterizes the controllability property and the control sets of the system.
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Taxonomy
TopicsControl and Dynamics of Mobile Robots · Stability and Control of Uncertain Systems · Advanced Differential Equations and Dynamical Systems