Leader-Following Mean Square Consensus of Stochastic Multi-agent Systems via Periodically Intermittent Event-Triggered Control

Abstract

This paper investigates the leader-following mean square consensus of stochastic multi-agent systems. Firstly, an intermittent event-triggered strategy along with triggering conditions has been presented. Next, a novel Lemma has been established to overcome the difficulty which stems from integrating intermittent strategy into event-triggered strategy. With aid of the established Lemma and some stochastic analysis techniques, two sufficient criteria on consensus of stochastic multi-agent systems via the proposed strategy have been derived. Finally, three numerical examples are presented to demonstrate the effectiveness of theoretical results.