Pairwise synchronization of second-order matrix-weighted networks

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-08-30 DOI:10.1093/imamci/dnae026

Pengchao Lv, Bo Liu, Junjie Huang

引用次数: 0

Abstract

This paper deals with the pairwise synchronization of second-order linear time invariant (LTI) systems with incommensurable outputs through a matrix-weighted graph. The pairwise synchronization here means that the relative outputs have pairwise synchronized solutions for the identical LTI systems. For the matrix-weighted network, some necessary and sufficient conditions on the pairwise synchronization are given by means of the Jordan form, matrix decomposition and effective conductance. Moreover, the relationship between the global synchronization and the connectivity of its interconnection graph is also discussed. Examples and simulations are shown to verify the theoretical results.

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二阶矩阵加权网络的成对同步

本文通过矩阵加权图讨论输出不可通约的二阶线性时不变（LTI）系统的成对同步问题。这里的成对同步是指对于相同的 LTI 系统，相对输出具有成对同步解。对于矩阵加权网络，通过乔丹形式、矩阵分解和有效电导给出了成对同步的一些必要条件和充分条件。此外，还讨论了全局同步与其互连图连接性之间的关系。通过实例和模拟验证了理论结果。

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

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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