Finite-Time  Probabilistic Impulsive Synchronization for Fuzzy Multiplicative Stochastic Coupled Memristive Neural Networks

Abstract

In this paper, the finite-time synchronization (FTS) of T-S fuzzy multiplicative stochastic coupled memristive neural networks (CMNNs) with probabilistic delayed impulsive effects is investigated.  First, a novel CMNNs model is designed, in which  mismatched parameters and adjustable coupling strength  are considered to ensure accuracy of the CMNNs. Meanwhile, because the multiplicative noise, which is different from external input noise, is inevitable in information transmission. The multiplicative noise is considered in the CMNNs. Then, the impulsive controller with fuzzy impulsive strength is introduced to enhance the robustness of the system. To be more practical, the probabilistic time delays are analyzed in the controller. Moreover,  finite-time stability theory and impulsive control theory are utilized to establish some sufficient conditions for FTS with synchronizing impulses and desynchronizing impulses on CMNNs. Further more, the upper bounds for settling time of synchronization are effectively estimated. Finally, a numerical example is provided to illustrate the effectiveness of the main results.

Keywords: Memristive neural networks, T-S fuzzy, impulsive effects, finite-time synchronization, multiplicative noise