Journal of Dynamical and Control Systems, 2023 (SCI-Expanded)
Article / Article
Journal of Dynamical and Control Systems
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Heisenberg group, Homogeneous spaces, Linear control systems
Yıldız Technical University Affiliated:
Let H denote the 3-dimensional Heisenberg Lie group. The main purpose of this paper is to classify all possible linear control systems on the homogeneous spaces of H through its closed subgroups. We expose a detailed study on the control behavior (i.e., controllability property and control sets) of some particular dynamics evolving on non simply connected homogeneous (state) spaces of dimension two and three.