EXPONENTIAL SYNCHRONIZATION OF COMPLEX NETWORKS WITH NON-DELAYED AND DELAYED COUPLING VIA HYBRID CONTROL

Guoliang Cai, Shengqin Jiang Jiang, Shuiming Cai, Lixin Tian

Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu, 212003, China

In this paper, the different structure synchronization of the two complex chaotic networks with time-varying delay and non-time-varying delay coupling is considered. Based on Lyapunov stability theory, combined with Yong inequality approach, Hybrid control including periodically intermittent control and adaptive control is designed such that the two complex chaotic networks achieves the exponential synchronization. Different numerical simulations are given to illustrate the effectiveness of the proposed method. Moreover through comparing the numerical simulations with the different functions of time delay, we can get how the time delay function impacts the complex chaotic networks synchronization in this model.