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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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BibTeX
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.