Synchronization of Reaction-Diffusion Neural Networks by Passive Approach

In this article, the synchronization of reaction-diffusion neural network with discontinuous activation functions is discussed. First, the differential inclusion theory is utilized to deal with discontinuous activation functions. Secondly, the synchronization conditions are obtained in the sense of the finite-time output strictly passive through adaptive controller, Green's theorem, Lyapunov stability theory and Yong's inequality. Finally, a numerical example is given to verify the validity of the obtained results.