Synchronization and Adaptive Control for Coupled Fractional-Order Reaction-Diffusion Neural Networks with Multiple Weights

In this paper, a type of coupled fractional-order reaction-diffusion neural networks (CFORDNNs) with multiple weights is presented. By utilizing Laplace inverse transform and some inequality techniques, a sufficient condition is given to make sure the proposed network model is synchronized. On the other hand, in order to guarantee the synchronization of the network model, an appropriate adaptive control strategy is also developed. Finally, the effectiveness of the proposed adaptive control scheme is substantiated by employing a numerical example and its simulation results.