Abstract
In this paper, with the design of a unified adaptive controller, the fixed-time (FXT) and predefined-time (PDT) synchronization problems of coupled memristor-based neural networks (CMNNs) with stochastic disturbance is studied. The FXT synchronization of CMNNs with stochastic disturbance via adaptive control is investigated, some sufficient conditions for FXT synchronization and a less conservative settling time independent of the initial state are given. By modifying the parameters of the same controller, the synchronization scheme of CMMNs within an arbitrary predefined time, which is not related to the system and controller parameters, is designed. Numerical simulations are finally given to verify the validity of the obtained theoretical results and the feasibility of the secure communication scheme.
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