Synchronization of harmonic oscillators under restorative coupling with applications in electrical networks

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Date

2017-01-01

Author

Tuna, Sezai Emre

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The role of restorative coupling on synchronization of coupled identical harmonic oscillators is studied. Necessary and sufficient conditions, under which the individual systems' solutions converge to a common trajectory, are presented. Through simple physical examples, the meaning and limitations of the theorems are expounded. Also, to demonstrate their versatility, the results are extended to cover LTI passive electrical networks. One of the extensions generalizes the well-known link between the asymptotic stability of the synchronization subspace and the second smallest eigenvalue of the Laplacian matrix.

Subject Keywords

Synchronization, Harmonic oscillator, LTI passive electrical network

URI

https://hdl.handle.net/11511/35061

Journal

AUTOMATICA

DOI

https://doi.org/10.1016/j.automatica.2016.09.035

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Department of Electrical and Electronics Engineering, Article

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Citation Formats

S. E. Tuna, “Synchronization of harmonic oscillators under restorative coupling with applications in electrical networks,” AUTOMATICA, pp. 236–243, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35061.