Structural Analysis of Synchronization in Networks of Linear Oscillators

Structural Analysis of Synchronization in Networks of Linear Oscillators

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 intercon...

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Veröffentlicht in:IEEE transactions on automatic control 2022-07, Vol.67 (7), p.3537-3544
1. Verfasser: Tuna, S. Emre
Format: Artikel
Sprache:eng
Schlagworte:
Connectors
Controllability
Coupling
Couplings
Dampers
Linear systems
Oscillator networks
Oscillators
Springs
strong structural synchronization (SSS)
Structural analysis
structural synchronization (SS)
Synchronism
Synchronization
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Zusammenfassung: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3097542