基于事件的具有时变时滞多智能体系统的平均一致性
Event-Based Average Consensus of Multi-Agent Systems with Time-Varying Delays
摘要: 本文采用周期采样和事件控制的方法对具有时变通信时滞的一阶多智能体系统的事件触发平均一致性问题进行了时滞鲁棒性分析。通过设计一致性协议及事件触发条件，使得所有智能体能够在较低的通信频率下实现一致性。利用李雅普诺夫稳定性理论证明了多智能体系统的平均一致性能够实现，所得结果改进了已有的研究成果。最后，通过数值模拟说明所获得的理论结果的有效性。
Abstract: In this paper, the method of periodic sampling and event control is used to analyze the delay ro-bustness of the event-triggered average consensus problem for first-order multi-agent systems with time-varying communication delays. By designing consensus protocol and event-triggering conditions, all agents can achieve consensus under lower communication frequency. By using Lyapunov stability theory, it is proved that average consensus of multi-agent systems can be achieved and the obtained results improve the existing ones. Finally, the validity of the theoretical results is illustrated by numerical simulations.
文章引用：韩世涛, 刘开恩. 基于事件的具有时变时滞多智能体系统的平均一致性[J]. 理论数学, 2020, 10(6): 567-579. https://doi.org/10.12677/PM.2020.106069

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