Bipartite and H∞ bipartite synchronization for multiweighted coupled fractional-order delayed reaction-diffusion neural networks.

In this paper, two types of multiweighted coupled fractional-order delayed reaction-diffusion neural networks (MCFDRNN) with and without external disturbances under signed graph are introduced, which generalize the existing coupled fractional-order reaction-diffusion networks models. Several bipartite and H∞ bipartite synchronization conditions for these two MCFDRNN are given on the basis of some important lemmas and matrix theory, which can not be acquired by utilizing the method and technique used in coupled reaction-diffusion neural networks. Finally, the derived criteria are validated by exploiting a numerical example.