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Authors: Tabea Trummel ; Zonglin Liu and Olaf Stursberg

Affiliation: Control and System Theory, EECS Dept., University of Kassel, Germany

Keyword(s): Oscillators, Synchronization, Networked Systems, Reachable Sets, Limit Cycles.

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.

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Paper citation in several formats:
Trummel, T., Liu, Z. and Stursberg, O. (2024). Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling. In Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO; ISBN 978-989-758-717-7; ISSN 2184-2809, SciTePress, pages 612-622. DOI: 10.5220/0013071100003822

@conference{icinco24,
author={Tabea Trummel and Zonglin Liu and Olaf Stursberg},
title={Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling},
booktitle={Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO},
year={2024},
pages={612-622},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013071100003822},
isbn={978-989-758-717-7},
issn={2184-2809},
}

TY - CONF

JO - Proceedings of the 21st International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO
TI - Computing Bounds for the Synchronization Errors of Nonidentical Nonlinear Oscillators with Time-Varying Diffusive Coupling
SN - 978-989-758-717-7
IS - 2184-2809
AU - Trummel, T.
AU - Liu, Z.
AU - Stursberg, O.
PY - 2024
SP - 612
EP - 622
DO - 10.5220/0013071100003822
PB - SciTePress