Synchronization of oscillators not sharing a common ground

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2023-5-01

Author

Tuna, Sezai Emre

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Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive coupling are considered. For networks under resistive coupling, it is shown that the oscillator-coupler interconnection has to be bilayer if the oscillator voltages are to asymptotically synchronize. Also, for bilayer architecture (when both resistive and inductive couplers are present) a method is proposed to compute a complex-valued effective Laplacian matrix that represents the overall coupling. It is proved that the oscillators display synchronous behavior if and only if the effective Laplacian has a single eigenvalue on the imaginary axis.

Subject Keywords

Bilayer coupling, Effective Laplacian matrix, Harmonic oscillator, Nonstar network, Synchronization

URI

https://hdl.handle.net/11511/102752

Journal

Automatica

DOI

https://doi.org/10.1016/j.automatica.2023.110960

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Department of Electrical and Electronics Engineering, Article

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Citation Formats

S. E. Tuna, “Synchronization of oscillators not sharing a common ground,” Automatica, vol. 151, pp. 0–0, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/102752.