Miao Suoxia, Su Housheng
IEEE Trans Cybern. 2023 Jan;53(1):668-678. doi: 10.1109/TCYB.2022.3172750. Epub 2022 Dec 23.
As we all know, heterogeneity is a very important feature of multiagent systems (MASs). In this article, we examine the consensus control problems of matrix-weighted hybrid MASs, which contain discrete-time and continuous-time dynamic agents. Under fixed and switched undirected networks, three consensus algorithms are proposed for matrix-weighted hybrid MASs. In the three consensus algorithms, the sampled data control method is utilized in the continuous-time subsystem to analyze the convergence of different dynamic agents in the matrix-weighted interaction mode. For the symmetric matrix-weighted fixed and switched multiagent networks, when the sampling period meets certain conditions, the consensus criteria are established via the matrix theory, Lyapunov stability theory, and analysis theory. Moreover, asymmetric matrix-weighted fixed multiagent networks which can be applied to some scenarios with scaled and rotated updates constraints are considered, and consensus criteria are also obtained when the sampling period meets certain conditions. Finally, a few simulation examples are supplied to validate the correctness of the obtained theoretical results.
众所周知，异质性是多智能体系统（MASs）的一个非常重要的特征。在本文中，我们研究了矩阵加权混合MASs的一致性控制问题，该系统包含离散时间和连续时间动态智能体。在固定和切换无向网络下，针对矩阵加权混合MASs提出了三种一致性算法。在这三种一致性算法中，连续时间子系统采用采样数据控制方法，以分析矩阵加权交互模式下不同动态智能体的收敛性。对于对称矩阵加权固定和切换多智能体网络，当采样周期满足一定条件时，通过矩阵理论、李雅普诺夫稳定性理论和分析理论建立了一致性准则。此外，考虑了可应用于一些具有缩放和旋转更新约束场景的非对称矩阵加权固定多智能体网络，当采样周期满足一定条件时也获得了一致性准则。最后，提供了一些仿真例子来验证所得到理论结果的正确性。
