This paper investigates the non-fragile consensus of uncertain nonlinear fractional-order multi-agent systems under estimated communication topology. The non-fragile consensus protocol is proposed to ensure that the system achieves consensus in the presence of structured uncertainty. Sufficient consensus criteria in terms of linear matrix inequalities are derived by employing the Lyapunov method, graph theory, matrix theory, and so on. At the end of this paper, numerical simulations are given to demonstrate the effectiveness of the proposed control protocol.
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