关键词: 事件触发控制, 随机非确定, 线性多智能体系统, 指数同步, Zeno现象

Abstract: This paper considers exponential synchronization of linear multi-agent systems with randomly occurring uncertainties under directed network. In order to reduce the unnecessary waste of the network bandwidth resource, an event-triggered control protocol is proposed. The protocol establishes corresponding event-triggered function for all agents based on combination measurement, and the controller updates between nodes are performed only at the event-triggered time. Based on Lyapunov stability theory and M matrix theory, the exponential synchronization result is obtained and the convergence rate is given. Zeno phenomenon can be eliminated theoretically in the process of event-triggered control simultaneously. The numerical simulation demonstrates the effectiveness of the theoretical analysis.

Key words: event-triggered control, randomly occurring uncertainties, linear multi-agent systems, exponential synchronization, Zeno phenomenon