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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.
Zhang et al. (Mon,) studied this question.