Global Asymptotic Stability of Competitive Neural Networks with Reaction-Diffusion Terms and Mixed Delays

In this article, a new competitive neural network (CNN) with reaction-diffusion terms and mixed delays is proposed. Because system contains terms, it belongs to partial differential system, which different from the existing classic CNNs. First, taking into account spatial diffusion effect, we introduce for Furthermore, since time delay has an essential influence on properties of including time-varying discrete distributed By constructing suitable Lyapunov–Krasovskii functionals virtue theories delayed equations, study global asymptotic stability considered system. The effectiveness correctness proposed CNN model are verified by example. Finally, some discussion conclusions recent developments CNNs given.