Construction of a Lyapunov function for a linear large-scale periodic system with possibly unstable subsystems

Slynko V., Tunc O., Atamas I.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, cilt.359, sa.14, ss.7510-7539, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 359 Sayı: 14
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.jfranklin.2022.07.052
  • Dergi Adı: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Periodicals Index Online, Aerospace Database, Communication Abstracts, INSPEC, Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.7510-7539
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This article proposes an approach to construct a Lyapunov function for a linear large-scale periodic system. In this case, in contrast to various variants of small-gain stability conditions for large-scale systems, the presence of the asymptotic stability property of independent subsystems is not assumed. To analyze the asymptotic stability of a large-scale system, the direct Lyapunov method is used in combination with the discretization method and identities of the commutator calculus. The main results are illustrated by means of examples. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.