Exponential synchronization of fuzzy cellular neural networks with mixed delays and general boundary conditions

In this paper, we study exponential synchronization of delayed reaction–diffusion fuzzy cellular neural networks with general boundary conditions. By using Sobolev inequality techniques and constructing suitable Lyapunov functional, some sufficient conditions are given to ensure the exponential synchronization of the drive-response delayed fuzzy cellular neural networks with general boundary conditions. Finally, an example is given to verify the theoretical analysis.

► We study the synchronization of fuzzy cellular neural networks with delays.
► We present sufficient conditions to assure the synchronization of networks.
► Mixed delays and fuzzy operator will affect the synchronization of networks.
► General boundary conditions have less effect on synchronization.
► A numerical example verifies sufficient conditions in the paper to be true.