Miao Suoxia, Su Housheng, Chen Shiming
IEEE Trans Neural Netw Learn Syst. 2024 Mar;35(3):3539-3548. doi: 10.1109/TNNLS.2022.3194010. Epub 2024 Feb 29.
In this article, we study the matrix-weighted consensus issues for second-order discrete-time multiagent systems on directed network topology. Under the designed matrix-weighted consensus algorithm, based on the eigenvalues of the Laplacian matrix, coupling gains, and discrete interval, we build some consensus conditions for reaching discrete-time consensus and deduce some simplified and straightforward consensus conditions for undirected network topology. Besides, for a given network topology, we theoretically analyze the influence of the coupling gains and discrete intervals on the consensus conditions of the network dynamics. Finally, we offer several simulation examples to validate the obtained results.
在本文中，我们研究了有向网络拓扑结构下二阶离散时间多智能体系统的矩阵加权一致性问题。在所设计的矩阵加权一致性算法下，基于拉普拉斯矩阵的特征值、耦合增益和离散区间，我们建立了一些用于达成离散时间一致性的一致性条件，并推导了无向网络拓扑结构下一些简化且直接的一致性条件。此外，对于给定的网络拓扑结构，我们从理论上分析了耦合增益和离散区间对网络动态一致性条件的影响。最后，我们给出几个仿真示例来验证所得到的结果。
