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

Üniversitemiz öğretim üyelerinden Doç. Dr. Sezai Emre Tuna tarafından yazılan “Synchronization of linear oscillators coupled through a dynamic network with interior nodes” başlıklı makale Automatica’da yayınlandı.

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.

Tuna, S. E. (2020). Synchronization of linear oscillators coupled through a dynamic network with interior nodes. Automatica, 117 doi:10.1016/j.automatica.2020.109008

Makaleye erişim için: https://www.sciencedirect.com/science/article/pii/S0005109820302065?via%3Dihub

Anahtar sözcükler:

Interior node; Linear oscillator; Schur complement; Synchronization