In this paper, the consensus tracking of second-order multi-agent systems with pure delay is studied by two kinds of delayed exponential matrices and iterative learning control technique. Theoretical analysis is easier with the help of delay exponential matrices, and it is simpler to design the control strategies. Further, sufficient conditions are put forward via delay exponential matrices, which can guarantee the asymptotic convergence of the consensus tracking error. Finally, a numerical example is given to verify the theoretical results.

中文翻译：

---

使用延迟指数矩阵的纯延迟二阶多Agent系统的共识跟踪

本文利用两种时滞指数矩阵和迭代学习控制技术研究了纯时滞二阶多智能体系统的共识跟踪。借助延迟指数矩阵，理论分析更加容易，控制策略的设计也更加简单。此外，通过延迟指数矩阵提出了充分的条件，可以保证共识跟踪误差的渐近收敛。最后，通过数值例子验证了理论结果。