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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description 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.
doi_str_mv 10.1109/TAC.2021.3097542
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subjects Connectors
Controllability
Coupling
Couplings
Dampers
Linear systems
Oscillator networks
Oscillators
Springs
strong structural synchronization (SSS)
Structural analysis
structural synchronization (SS)
Synchronism
Synchronization
title Structural Analysis of Synchronization in Networks of Linear Oscillators
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