Synchronization of fractional-order delayed fuzzy memristive neural networks with unknown parameters and reaction-diffusion terms

Abstract

This paper investigates the global asymptotic synchronization issue of fractional-order delayed fuzzy memristive neural networks with unknown parameters and reaction-diffusion terms. Firstly, to make the model established in this paper more general, activation functions are extended to the discontinuous case. Next, two novel controllers, namely a delayed state-feedback controller and an adaptive controller, are designed. By employing some useful analytical techniques and the Gronwall-Bellman inequality, some easily validated criteria are derived to guarantee global asymptotic synchronization. Eventually, the effectiveness of the developed theoretical results is validated through an illustrative example.