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The  H synchronization control of fractionalorder neural networks (FONNs) is investigated in this paper, where the FONNs are affected by time-delays. First, based on memristor, a novel adaptive control is proposed. And then, by taking the Mittag-Leffler stability theory and robust control, sufficient conditions are proposed to achieve  H synchronization of FONNs. Finally, the correctness of the obtained theoretical results are verified by some numerical examples. Keywords—Memristor;  H synchronization; FONNs, timedelays

Memristor-based H∞ Synchronization Control for Fractional-order Neural Networks with Time-delays