Local exponential synchronization rate of commutative Kuramoto oscillators on spheres

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-06-26 DOI:10.1016/j.sysconle.2024.105860

Yushi Shi , Xueyan Li , Ting Li , Jiandong Zhu

引用次数: 0

Abstract

For proportional Kuramoto oscillators on spheres, the local exponential synchronization rate for complete phase synchronization was obtained in existing literature. But for the general nonidentical Kuramoto oscillators on spheres, the problem of local exponential synchronization rate has not been solved. In this paper, for commutative Kuramoto oscillators on spheres, the matrix differential equations involving the synchronization errors are constructed, and the local exponential synchronization rate is obtained by calculating the spectrum of the linearized error system limited to an invariant subspace.

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球面上交换式仓本振荡器的局部指数同步率

对于球面上的比例仓本振荡器，现有文献已经得到了完全相位同步的局部指数同步率。但对于球面上的一般非相同仓本振荡器，局部指数同步率问题尚未解决。本文针对球面上的交换型仓本振荡器，构建了涉及同步误差的矩阵微分方程，并通过计算局限于不变子空间的线性化误差系统的频谱，得到了局部指数同步率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.