2020/02/02 by Víctor Ayala, Victor Ayala, Ayala, Victor +2
Engineering · Mathematics · #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DS #math.OC
paper · pdf · doi:10.48550/arxiv.2002.00436
openalex publication_date 2020/02/02 · arxiv created 2022/01/19 · arxiv updated 2022/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present paper shows that the bounded control set of a linear system on a connected Lie group G contains all the bounded orbits of the system. As a consequence, its closure is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system.