Outer synchronization and outer H synchronization for coupled fractional-order reaction-diffusion neural networks with multiweights.

This paper introduces multiple state or spatial-diffusion coupled fractional-order reaction-diffusion neural networks, and discusses the outer synchronization and outer H synchronization problems for these coupled fractional-order reaction-diffusion neural networks (CFRNNs). The Lyapunov functional method, Laplace transform and inequality techniques are utilized to obtain some outer synchronization conditions for CFRNNs. Moreover, some criteria are also provided to make sure the outer H synchronization of CFRNNs. Finally, the derived outer and outer H synchronization conditions are validated on the basis of two numerical examples.