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Abstract:
In this paper, finite-time and fixed-time synchronization are considered for a class of memristor-based competitive neural networks(MCNNs) with different time scales. Based on the theory of differential equations with discontinuous right-hand sides, several new sufficient conditions ensuring the finite-time and fixed-time synchronization of MCNNs are obtained by designing proper controllers. Moreover, the settling time is estimated. Finally, a numerical example is given to show the effectiveness and feasibility of our results.