矩阵加权网络上不同阶交换多智能体系统的一致性

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-06-26 DOI:10.1016/j.amc.2025.129610

Suoxia Miao , Housheng Su

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引用次数: 0

摘要

研究矩阵加权网络上连续时间差分阶交换多智能体系统的一致性问题。分别针对二阶子系统和一阶子系统设计了新的共识协议。在设计的算法中，利用矩阵理论、变量变换和Lyapunov稳定性理论，采用两种方法获得了取决于网络拓扑结构、耦合增益和平均停留时间等因素的不同阶交换矩阵加权质量的一致性准则。

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Consensus of different-order switched multi-agent systems on matrix-weighted networks

This paper considers the consensus issue for continuous time different-order switched multi-agent systems over matrix weighted networks. A new consensus protocol is designed for second-order and first-order subsystem, respectively. Under the designed algorithm, utilizing matrix theory, variable transformation and Lyapunov stability theory, two methods are used to obtain the consensus criterion of different-order switched matrix weighted MASs, which depend on factors such as network topology, coupling gains, and average dwell time.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.