Many complex systems can be more accurately described by fractional-order models. In this paper, a leader-following consensus problem of fractional-order multi-agent systems (FOMASs) is firstly formulated and then an event-trigger consensus control is proposed for each agent. Under the assumption that the interconnection network topology has a spanning tree, consensus of the closed-loop FOMAS is analyzed with the help of the Mittag-Leffler functions and stability theory of fractional-order differential equations. It is shown that Zeno behavior can be avoided. Simulation results are presented to demonstrate the effectiveness of the theoretical results.
- Distributed event-trigger control
- Fractional-order multi-agent system
- Leader-following consensus
- Mittag-Leffler function
- Zeno behavior