Global exponential synchronization of delayed BAM neural networks with reaction-diffusion terms and the Neumann boundary conditions
Weiyuan Zhang, Junmin Li · Boundary Value Problems · 2012
In this article, a delay-differential equation modeling a bidirectional associative memory (BAM) neural networks (NNs) with reaction-diffusion terms is investigated.A feedback control law is derived to achieve the state global exponential synchronization of two identical BAM NNs with reaction-diffusion terms by constructing a suitable Lyapunov functional, using the drive-response approach and some inequality technique.A novel global exponential synchronization criterion is given in terms of inequalities, which can be checked easily.A numerical example is provided to demonstrate the effectiveness of the proposed results.