Structural Analysis of Synchronization in Networks of Linear Oscillators

Download

index.pdf

Date

2022-07-01

Author

Tuna, Sezai Emre

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

148
views

47
downloads

In undirected networks of identical linear oscillators coupled through dissipative and restorative connectors (e.g., pendulums undergoing small vibrations connected via dampers and springs), the relation between asymptotic synchronization and coupling structure is studied. Conditions on the interconnection under which synchronization can be achieved for some selection of coupling strengths are established. How to strengthen those conditions so that synchronization is guaranteed for all admissible parameter values is also presented.

Subject Keywords

Oscillator networks, strong structural synchronization (SSS), structural synchronization (SS)

URI

https://hdl.handle.net/11511/98533

Journal

IEEE Transactions on Automatic Control

DOI

https://doi.org/10.1109/tac.2021.3097542

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Synchronization of harmonic oscillators under restorative coupling with applications in electrical networks Tuna, Sezai Emre (2017-01-01) The role of restorative coupling on synchronization of coupled identical harmonic oscillators is studied. Necessary and sufficient conditions, under which the individual systems' solutions converge to a common trajectory, are presented. Through simple physical examples, the meaning and limitations of the theorems are expounded. Also, to demonstrate their versatility, the results are extended to cover LTI passive electrical networks. One of the extensions generalizes the well-known link between the asymptoti...
Nonlinear Fiber Modeling of Steel-Concrete Partially Composite Beams with Channel Connectors Ozturk, Alper; Baran, Eray; Tort, Cenk (Springer Science and Business Media LLC, 2019-05-01) A simplified nonlinear fiber-based finite element model of steel-concrete partially composite beams utilizing channel type mechanical shear connectors is developed in OpenSees framework. The interaction between steel beam and concrete slab is accounted for by introducing nonlinear zero length elements and rigid links. The channel shear connector response used in numerical models is based on the previously obtained experimental response from pushout tests. Accuracy of the numerical models in predicting the r...
Synchronization of linearly and nonlinearly coupled harmonic oscillators Penbegül, Ali Yetkin; Tuna, Sezai Emre; Department of Electrical and Electronics Engineering (2011) In this thesis, the synchronization in the arrays of identical and non-identical coupled harmonic oscillators is studied. Both linear and nonlinear coupling is considered. The study consists of two main parts. The first part concentrates on theoretical analysis and the second part contains the simulation results. The first part begins with introducing the harmonic oscillators and the basics of synchronization. Then some theoretical aspects of synchronization of linearly and nonlinearly coupled harmonic osci...
Synchronization of oscillators not sharing a common ground Tuna, Sezai Emre (2023-5-01) 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 ove...
Synchronization of linear oscillators coupled through a dynamic network with interior nodes Tuna, Sezai Emre (Elsevier BV, 2020-07-01) 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 ...

Citation Formats

S. E. Tuna, “Structural Analysis of Synchronization in Networks of Linear Oscillators,” IEEE Transactions on Automatic Control, vol. 67, no. 7, pp. 3537–3544, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/98533.