Linear Control Systems on Homogeneous Spaces of the Heisenberg Group

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Da Silva A., Kızıl E., Duman O.

Journal of Dynamical and Control Systems, vol.29, no.4, pp.2065-2086, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1007/s10883-023-09670-0
  • Journal Name: Journal of Dynamical and Control Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.2065-2086
  • Keywords: Heisenberg group, Homogeneous spaces, Linear control systems
  • Yıldız Technical University Affiliated: Yes

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.