Synchronization of linear oscillators coupled through a dynamic network with interior nodes

Date

2020-07-01

Author

Tuna, Sezai Emre

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Synchronization is studied in an array of identical linear oscillators of arbitrary order, coupled through a dynamic network comprising dissipative connectors (e.g., dampers) and restorative connectors (e.g., springs). The coupling network is allowed to contain interior nodes, i.e., those that are not directly connected to an oscillator. It is shown that the oscillators asymptotically synchronize if and only if the Schur complement (with respect to the boundary nodes) of the complex-valued Laplacian matrix representing the coupling has a single eigenvalue on the imaginary axis.

Subject Keywords

Control and Systems Engineering, Electrical and Electronic Engineering

URI

https://hdl.handle.net/11511/34451

Journal

AUTOMATICA

DOI

https://doi.org/10.1016/j.automatica.2020.109008

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

S. E. Tuna, “Synchronization of linear oscillators coupled through a dynamic network with interior nodes,” AUTOMATICA, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34451.