多信号输入下多智能体系统的图可控性分类

Graph controllability classes of networked multi-agent systems with multi-signal inputs

在多信号输入情形下,对多智能体系统的图可控性分类进行了分析,构建了新的基于多信号输入下的系统模型。进而利用秩判据和PBH判据,在新的模型下得到系统与可控性的关系,新的模型更方便地表现多智能体系统的一般性。此外,在拉普拉斯矩阵下,对多智能体系统与可控性的关系做了详细的分析与研究,特别是在拉普拉斯矩阵的特征值与系统能控性的关系方面进行了分析。解决了多信号输入下可控性分类的问题,并提高了研究可控性的准确性。而且,在已有结论的基础上对多智能体系统可控性的内容进行了完善。

In this paper, we analyze graph controllability classes in networked multi-agent systems with muhisignal inputs and construct a new system model. To determine the relationship between controllability and networked multi- agent systems, we used a controllability rank criterion and the Popov-Belevitch-Hautus criterion in our proposed model, which is more convenient and more general in its application. In addition, we analyzed in detail the rela- tionship between networked multi-agent systems and controllability, especially, between Laplacian eigenvalue and controllability. Based on our results, we conclude that we have solved the controllable classification problem associ- ated with multisignal input, improved research accuracy with respect to controllability, and improved the controlla- bility of networked multi-agent systems.