Harmonic synchronization under all three types of coupling: Position, velocity, and acceleration

Date

2021-08-01

Author

Tuna, Sezai Emre

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Synchronization of identical harmonic oscillators interconnected via position, velocity, and acceleration couplings is studied. How to construct a complex Laplacian matrix representing the overall coupling is presented. It is shown that the oscillators asymptotically synchronize if and only if this matrix has a single eigenvalue on the imaginary axis. This result generalizes some of the known spectral tests for synchronization. Some simpler Laplacian constructions are also proved to work provided that certain structural conditions are satisfied by the coupling graphs.

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85107451307&origin=inward
https://hdl.handle.net/11511/91084

Journal

Automatica

DOI

https://doi.org/10.1016/j.automatica.2021.109727

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

S. E. Tuna, “Harmonic synchronization under all three types of coupling: Position, velocity, and acceleration,” Automatica, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85107451307&origin=inward.