In this paper, a neighbour-based control algorithm of group consensus is designed for a class of hybrid-based heterogeneous multiagent systems with communication time delay. We consider the statics leaders and active leaders, respectively. The original systems are transformed into new error systems by transformation. On the basis of the systems, applying Lyapunov stability theory and adopting the linear matrix inequality method, sufficient conditions which guarantee the heterogeneous multiagent systems stability are obtained. To illustrate the validity of theoretical results, some numerical simulations are given at the end of the paper.

中文翻译：

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时滞的异构多主体系统的群体共识

本文针对一类具有通信时间延迟的混合型异构多主体系统，设计了一种基于邻居的群共识控制算法。我们分别考虑静态领导者和活跃领导者。通过转换将原始系统转换为新的错误系统。在这些系统的基础上，应用Lyapunov稳定性理论并采用线性矩阵不等式方法，获得了保证异构多主体系统稳定性的充分条件。为了说明理论结果的有效性，本文最后给出了一些数值模拟。