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arXiv · 2211.03867

Linear control systems on the homogeneous spaces of the Heisenberg group

Adriano Da Silva·Okan Duman·Eyüp Kizil
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Abstract

Let H denote the 3-dimensional Heisenberg Lie group. The present paper classify all possible linear control systems on the homogeneous spaces of H through its closed subgroups and expose a detailed study on the control behavior (controllability property and control sets) of a particular dynamics evolving on a non simply connected homogeneous (state) space of dimension two.

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Adriano Da Silva, Okan Duman, Eyüp Kizil. 2022-11-07. Linear control systems on the homogeneous spaces of the Heisenberg group. https://arxiv.org/abs/2211.03867

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