Abstract
In this paper, the $H_{\infty}$ consensus of fractional-order multi-agent systems with directed communication graph is investigated. It's the first time to introduce the $H_{\infty}$ control to investigate the consensus problem of the fractional-order multi-agent systems. In view of Mittag-Leffler stability theory and fractional Lyapunov directed method, a sufficient condition is presented to guarantee all the agents reach consensus with the desired $H_{\infty}$ performance. Finally, the results are verified by several numerical simulations.
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