Passivity for Multiadaptive Coupled Fractional-Order Reaction-Diffusion Neural Networks

The passivity and passivity-based synchronization for a type of coupled fractional-order reaction-diffusion neural networks (CFRNNs) with multiadaptive couplings are discussed in this paper. On one hand, by designing suitable integer-order and fractional-order coupling weight updating schemes, several output strict passivity criteria for CFRNNs are developed. On the other hand, the output strict passivity is exploited to tackle the synchronization of CFRNNs, and several sufficient conditions are derived based on the properties of Laplace transform and Mittag-Leffler functions. Finally, the effectiveness of the devised coupling weight updating strategies are substantiated by numerical examples.