Delay-dependent stability criteria for reaction-diffusion neural networks with time-varying delays

This paper studies the global asymptotic stability problem of a class of reaction-diffusion neural networks with time-varying delays. To overcome the difficulty caused by the partial differential term, a novel Lyapunov-Krasovskii functional is proposed, and a partial differential equation technique together with a linear operator approach are also applied to obtain the delay-dependent stability criteria, which are less conservative than the existing results. Finally, simulation examples are given to verify and illustrate the theoretical analysis. © 2013 IEEE.