Linear Control Systems on Homogeneous Spaces of the Heisenberg Group

Adriano Da Silva; Eyüp Kizil; Okan Duman

doi:10.1007/s10883-023-09670-0

Linear Control Systems on Homogeneous Spaces of the Heisenberg Group

Adriano Da Silva
, Eyüp Kizil
, Okan Duman

Department of Mathematics

Yildiz Technical University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2065-2086
Number of pages	22
Journal	Journal of Dynamical and Control Systems
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/s10883-023-09670-0
State	Published - Oct 2023

Keywords

Heisenberg group
Homogeneous spaces
Linear control systems

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10.1007/s10883-023-09670-0

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title = "Linear Control Systems on Homogeneous Spaces of the Heisenberg Group",

abstract = "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.",

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T1 - Linear Control Systems on Homogeneous Spaces of the Heisenberg Group

AU - Da Silva, Adriano

AU - Kizil, Eyüp

AU - Duman, Okan

PY - 2023/10

Y1 - 2023/10

N2 - 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.

AB - 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.

KW - Heisenberg group

KW - Homogeneous spaces

KW - Linear control systems

UR - https://www.scopus.com/pages/publications/85175955492

U2 - 10.1007/s10883-023-09670-0

DO - 10.1007/s10883-023-09670-0

M3 - Article

AN - SCOPUS:85175955492

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VL - 29

SP - 2065

EP - 2086

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

IS - 4

ER -

Linear Control Systems on Homogeneous Spaces of the Heisenberg Group

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Keywords

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