T. Trummel, Z. Liu and O. Stursberg: Computing Bounds for the Synchronization Errors of Nonidentical
Nonlinear Oscillators with Time-Varying Diffusive Coupling. In: Proc. 21st Int. Conf. on Informatics in Control, Automation and Robotics, 2024, Vol. 1, p. 612-622.
Abstract
The paper studies bounds of the synchronization error for networks of diffusively coupled and nonidentical nonlinear oscillators. In contrast to preceding work, which only analyzes the synchronization error in the limit and for constant coupling, a method based on over-approximating reachable sets of the synchronization error is proposed. The method allows the evaluation of different and time-varying gains along the limit cycles. Instead of using strong coupling gains to preserve synchronization, it is proposed to vary the coupling gains over time, while the synchronization error determined via reachable set does not exceed a specified bound. Evaluation results for the proposed method are provided for different types of coupled oscillators.
BibTex
@article{noauthororeditor,
abstract = {The paper studies bounds of the synchronization error for networks of diffusively coupled and nonidentical nonlinear oscillators. In contrast to preceding work, which only analyzes the synchronization error in the limit and for constant coupling, a method based on over-approximating reachable sets of the synchronization error is proposed. The method allows the evaluation of different and time-varying gains along the limit cycles. Instead of using strong coupling gains to preserve synchronization, it is proposed to vary the coupling gains over time, while the synchronization error determined via reachable set does not exceed a specified bound. Evaluation results for the proposed method are provided for different types of coupled oscillators.},
author = {Trummel, Tabea and Liu, Zonglin and Stursberg, Olaf},
interhash = {75ae52961881cb60a7eb6f620ea5e03c},
intrahash = {f76136d36e5b6e2b298455641e689f7f},
isbn = {978-989-758-717-7},
issn = {2184-2809},
journal = {Proc. 21st Int. Conf. on Informatics in Control, Automation and Robotics},
number = {Vol. 1},
pages = {612-622},
title = {Computing Bounds for the Synchronization Errors of Nonidentical
Nonlinear Oscillators with Time-Varying Diffusive Coupling},
year = 2024
}
URL