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Abstract:
In practical applications, there is the important problem: Can we make a system synchronize in any given time or hopeful time? In order to estimate the smaller upper bound of synchronization time, the predefined-time synchronization (PdT synchronization) of a class of extended memristive competitive neural networks(eMCNNs) with varied leakage delays is studied here. Through designing suitable controllers and inequality techniques, synchronization of eMCNNs with varied leakage delays can be indeed reached in a predefined time. Novel criteria of PdT synchronizations of this model are built to guarantee the PdT synchronization of eMCNNs with varied leakage delays. Finally, a numerical example shows the usefulness of our theoretical results and the explored effects of varied leakage delays on the PdT synchronization of eMCNNs with varied leakage delays.