This article investigates the distributed fixed‐time event‐triggered consensus problem for linear multi‐agent systems with input delay. The Artstein‐Kwon‐Pearson reduction approach is used to convert the delay‐dependent system to a delay‐free one. Based on the delay‐free system, two distributed event‐triggered protocols are designed based on local information exchange to address the leaderless consensus and the leader‐follower consensus problems. In the proposed consensus protocols, both continuous controller updates and continuous communication as well as the Zeno behavior are successfully excluded. Detailed convergence analysis demonstrates that the closed‐loop system is fixed‐time stable regardless of the initial conditions. Finally, some simulation examples are provided to validate the theoretical results.

中文翻译：

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输入时滞的线性多智能体系统的固定时间事件触发共识

本文研究了具有输入延迟的线性多智能体系统的分布式固定时间事件触发共识问题。Artstein-Kwon-Pearson减少方法用于将依赖于延迟的系统转换为无延迟的系统。基于无延迟系统，基于本地信息交换设计了两种分布式事件触发协议，以解决无领导者共识和领导者跟随者共识问题。在提出的共识协议中，连续控制器更新和连续通信以及Zeno行为均被成功排除。详细的收敛分析表明，不管初始条件如何，闭环系统都是固定时间稳定的。最后，提供了一些仿真实例来验证理论结果。