Finite-time synchronization of unified chaotic system

Yaolin Huang, Zhuo Jiang, Chengjun Xie, Shuangli Wang, Jinyan Zhao

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12C) 1056-1060

College of Computer Science and Technology, Beihua University, Jilin, 132021, China

This paper presents finite-time synchronization for the unified chaotic system. The master-slave system synchronization is achieved within a pre-specified convergence time. Based on the Lyapunov stability theory and the finite-time stability theory, the finite-time controller is derived to make the state of two unified chaotic systems synchronized within finite-time. At the same time, the state of the slave system exponentially synchronizes state of the master system. At last numerical simulations are presented to shows the effectiveness of theoretical analysis.