三阶时滞多智能体系统二分一致性分析

对带有相同输入时滞的,有竞争关系的三阶多智能体系统的二分一致性进行研究.根据连通二部图的特征,提出一种基于竞争的三阶时滞多智能体系统控制算法.基于奈奎斯特稳定判据,给出多智能体系统实现二分一致性的充要条件,提出多智能体系统实现二分一致性的最大时滞与系统的拉普拉斯矩阵特征值的代数关系,并进行数值仿真实验.结果表明:通过文中算法,三阶时滞多智能体系统能够实现二分一致性.

Dichotomous Consistency Analysis on Third-Order Multi-Agents System With Time Delay

The dichotomous consistency of competitive third-order multi-agent system with the same input time delay was studied. According to the characteristics of connected bipartite graph, a control algorithm of competition-based third-order multi-agent system with time delay was designed. Based on the Nyquist stability criterion, the necessary and sufficient conditions for multi-agent system to achieve dichotomous consistency were given, the algebraic relationship between the maximum time delay of realizing dichotomous consistency in multi-agent system and the eigenvalue of the Laplace matrix of the system was proposed, and numerical simulation experiments were carried out. The results show that the third-order delay multi-agent system can achieve dichotomy consistency using the proposed algorithm.