有限域上线性网络的簇内同步

IF 4 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Control of Network Systems Pub Date : 2025-03-05 DOI:10.1109/TCNS.2025.3548158

Siyu Zou;Ting Li;Jiandong Zhu

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引用次数: 0

摘要

研究有限域上线性网络的簇内同步问题。利用有限域上线性系统的线性变换技术和新的不变子空间，给出了有限域上线性网络簇内同步的几个充要条件。特别地，所得结果可用于验证有限域上线性网络的完全同步。最后，通过数值算例对理论结果进行了验证。

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Intracluster Synchronization of Linear Networks Over Finite Fields

This article investigates the intracluster synchronization problem for linear networks over finite fields. By using the technique of linear transformations and novel invariant subspaces of linear systems over finite fields, several necessary and sufficient conditions for the intracluster synchronization of linear networks over finite fields are proposed. In particular, the obtained results are applicable to verify the complete synchronization of linear networks over finite fields. Finally, some numerical examples are given to illustrate our theoretical results.

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来源期刊

IEEE Transactions on Control of Network Systems Mathematics-Control and Optimization

CiteScore

7.80

自引率

7.10%

发文量

169

期刊介绍： The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.