Structural Analysis of Synchronization in Networks of Linear Oscillators


Creative Commons License

TUNA S. E.

IEEE Transactions on Automatic Control, vol.67, no.7, pp.3537-3544, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.1109/tac.2021.3097542
  • Journal Name: IEEE Transactions on Automatic Control
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.3537-3544
  • Keywords: Synchronization, Oscillators, Couplings, Controllability, Connectors, Linear systems, Springs, Oscillator networks, strong structural synchronization (SSS), structural synchronization (SS), CONTROLLABILITY, OBSERVABILITY, CONSENSUS
  • Middle East Technical University Affiliated: Yes

Abstract

© 1963-2012 IEEE.In undirected networks of identical linear oscillators coupled through dissipative and restorative connectors (e.g., pendulums undergoing small vibrations connected via dampers and springs), the relation between asymptotic synchronization and coupling structure is studied. Conditions on the interconnection under which synchronization can be achieved for some selection of coupling strengths are established. How to strengthen those conditions so that synchronization is guaranteed for all admissible parameter values is also presented.