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This work concerns with the distributed containment control problem of fractional-order multi-agent systems (FOMASs) with unknown persistent disturbances on multilayer networks. To solve this problem, observers are designed to estimate the state of each follower and unknown persistent disturbances. Based on estimated information, a novel distributed containment control protocol is designed. And then, some matrix inequalities conditions are deduced for achieving the containment control. Finally, the effectiveness of the obtained theoretical results are demonstrated by several numerical examples.

Distributed Containment Control of Fractional-Order Multi-Agent Systems With Unknown Persistent Disturbances on Multilayer Networks