Hybrid Function Projective Synchronization for Fractional-order Lorenz Chaotic System with Uncertain Parameters

To deal with the synchronization problem in fractional-order chaotic system with uncertain parameters, an adaptive hybrid function projective synchronization scheme is proposed. Based on the stability theory of fractional-order systems, the adaptive controllers and the parameter update laws are derived to make the fractional-order Lorenz chaotic system achieve hybrid function projective synchronization. Furthermore, all uncertain parameters of the response system are identified simultaneously. Numerical simulations are given to demonstrate the effectiveness of the adaptive controllers and the parameter update laws.