Structural Analysis of Synchronization in Networks of Linear Oscillators


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TUNA S. E.

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

  • Publication Type: Article / Article
  • Volume: 67 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.1109/tac.2021.3097542
  • Title of Journal : IEEE Transactions on Automatic Control
  • Page Numbers: pp.3537-3544
  • Keywords: Oscillator networks, strong structural synchronization (SSS), structural synchronization (SS)

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.