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, cilt.29, sa.4, ss.2065-2086, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s10883-023-09670-0
  • Dergi Adı: Journal of Dynamical and Control Systems
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.2065-2086
  • Anahtar Kelimeler: Heisenberg group, Homogeneous spaces, Linear control systems
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.