The fast synchronization problem of memristor-based neural networks is studied in this article. Firstly, a novel predefined finite time stability of a class of nonlinear dynamical systems is investigated under the incomplete beta function, complete beta function, and inequality technology. Then, an active predefined finite time controller is designed that guarantees finite time stability of synchronization errors of two memristor-based neural networks with/without proportional delay. Some simulation results are presented to show the effectiveness of theoretical results.
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