论文标题

线性互连多代理系统的共识

Consensusability of linear interconnected multi-agent systems

论文作者

Turan, Mustafa Sahin, Xu, Liang, Trecate, Giancarlo Ferrari

论文摘要

共识性是许多多代理系统(质量)的重要属性,因为它暗示了将MAS子系统状态驱动到相同值的网络控制器的存在。即使MAS子系统是物理耦合的,共识也是有意义的,而现实世界中的电力网络就是这种情况。在本文中,我们研究了线性互连质量共识的必要条件。这些条件是根据子系统矩阵的参数以及物理和通信图Laplacians的特征值提供的。我们的结果表明,子系统之间的弱耦合和物理和通信图中的快速信息扩散率有利于共识。通过计算机模拟来验证技术结果。

Consensusability is an important property for many multi-agent systems (MASs) as it implies the existence of networked controllers driving the states of MAS subsystems to the same value. Consensusability is of interest even when the MAS subsystems are physically coupled, which is the case for real-world systems such as power networks. In this paper, we study necessary and sufficient conditions for the consensusability of linear interconnected MASs. These conditions are given in terms of the parameters of the subsystem matrices, as well as the eigenvalues of the physical and communication graph Laplacians. Our results show that weak coupling between subsystems and fast information diffusion rates in the physical and communication graphs favor consensusability. Technical results are verified through computer simulations.

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