Exponential Cluster Synchronization of Neural Networks with Proportional Delays
Nian Feng, Ye Wu, Weiping Wang, Lin Zhang, Jinghua Xiao · Mathematical Problems in Engineering · 2015
Exponential cluster synchronization of neural networks with proportional delays is studied in this paper. Unlike previous constant delay or bounded time delay, we consider the time-varying proportional delay is unbounded, less conservative, and more widely applied. Furthermore, we designed a novel adaptive controller based on Lyapunov function and inequality technique to achieve exponential cluster synchronization for neural networks and by using a unique way of equivalent system we proved the main conclusions. Finally, an example is given to illustrate the effectiveness of our proposed method.