Based on the distributed event-triggered impulsive mechanism, the leader-following mean-square consensus of stochastic multiagent systems with randomly occurring uncertainties and randomly occurring nonlinearities is investigated for the first time in this article. In order to make better use of the limited communication resources, we proposed some novel communication rules among agents and corresponding control protocol. Moreover, some new triggering functions are designed for different types of agents, which cannot only ensure that the Zeno behavior can be excluded but also make the upper bound of impulsive interval in the total time sequence satisfy a newly proposed constraint condition. When the expected value of the triggering function of the $i$ th agent is non-negative within an event time interval, the impulsive control will be triggered. If the system achieves the consensus, the triggering events of all agents will not occur after some time. The original system is transformed into the delay system by using the input delay approach. Based on the Lyapunov stability theory, several sufficient delay-independent criteria for mean-square consensus are derived by a class of Halanay impulsive differential inequalities. Finally, the effectiveness of theoretical results is illustrated by numerical simulation examples.

中文翻译：

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通过分布式事件触发脉冲控制的具有 ROU 和 RON 的随机多智能体系统的领导者跟随均方共识

基于分布式事件触发脉冲机制，本文首次研究了具有随机发生不确定性和随机发生非线性的随机多智能体系统的leader-following均方一致性。为了更好地利用有限的通信资源，我们提出了一些新颖的代理间通信规则和相应的控制协议。此外，针对不同类型的智能体设计了一些新的触发函数，既保证了Zeno行为可以被排除，又使总时间序列中的脉冲区间上界满足新提出的约束条件。当触发函数的期望值 $i$ 一个代理在一个事件时间间隔内是非负的，就会触发冲动控制。如果系统达成共识，一段时间后所有代理的触发事件都不会发生。使用输入延迟方法将原始系统转换为延迟系统。基于 Lyapunov 稳定性理论，由一类 Halanay 脉冲微分不等式推导出了几个充分的均方一致的延迟独立准则。最后通过数值模拟实例说明了理论结果的有效性。