Global exponential synchronization of delayed fuzzy cellular neural networks with discontinuous activations

Abstract

It is known that exponential synchronization can synchronize the response system and the drive system at a faster rate, and plays an important role in many fields such as secure communications. In this paper, we study the global exponential synchronization issue for delayed fuzzy cellular neural networks with discontinuous activations. By utilizing the discontinuous state feedback and adaptive control method and constructing Lyapunov functionals, some new and useful criteria of global exponential synchronization for the considered networks are established. The obtained criteria significantly generalize and improve recent works for delayed fuzzy neural networks with continuous activations. Finally, two examples with simulations are presented to show the effectiveness of the theoretical results.