Finite-time synchronization of unified chaotic system

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.