Controllability of Linear Systems on Generalized Heisenberg Groups

2015/10/14 by Mouhamadou Dath, Dath, Mouhamadou, Philippe Jouan +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #Optimization and Control (math.OC) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1510.04224

openalex publication_date 2015/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the study of controllability of linear systems on generalized Heisenberg groups. Some general necessary controllability conditions and some sufficient ones are provided. We introduce the notion of decoupled systems, and more precise controllability criteria are stated for them.

Related

• Linear control systems on the homogeneous spaces of the Heisenberg group
• A complete classification of control sets for singular linear control systems on the Heisenberg group
• One-input linear control systems on the homogeneous spaces of the Heisenberg group -- The singular case
• Controllability of linear systems on Lie groups with finite semisimple center
• Controllability of linear systems on solvable Lie groups