Linear control systems on the homogeneous spaces of the Heisenberg group

2022/11/07 by Da Silva, Adriano, Duman, Okan, Kizil, Eyüp
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.03867

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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