Finite-time synchronization and parameter identification of fractional-order Lorenz chaotic system

Abstract

This paper studies the finite-time synchronization and parameter identification of fractional-order Lorenz chaotic systems with uncertain parameters. Based on the Lyapunov stability theory, a finite-time controller and parameter correction laws are designed. The finite-time synchronization of fractional-order Lorenz chaotic systems is achieved. Moreover, all uncertain parameters of the fractional-order Lorenz system are also identified. Finally, numerical simulation results are provided to demonstrate the effectiveness of the proposed control scheme.