Event-triggered consensus tracking for fractional-order multi-agent systems with general linear models

Since many practical physical phenomena can be depicted more accurately and suitablely by fractional-order models, this work addresses the event-triggered consensus tracking for the fractional-order multi-agent systems (FOMASs) governed by general linear models. Firstly, a distributed event-triggered control algorithm relied on state feedback is derived. Then, according to the Laplace transform, the Mittag-Leffler function, the comparison test of improper integral, and the technique of inequality, some consensus criteria are obtained to ensure all followers can track a dynamic leader and Zeno behavior can be avoided. Lastly, some numerical simulation results are provided to verify the effectiveness of the event-triggered method.