Adaptive Projective Synchronization between Two Different Fractional-Order Chaotic Systems with Fully Unknown Parameters

Abstract EN

Projective synchronization between two different fractional-order chaotic systems with fully unknown parameters for drive and response systems is investigated.

On the basis of the stability theory of fractional-order differential equations, a suitable and effective adaptive control law and a parameter update rule for unknown parameters are designed, such that projective synchronizationbetween the fractional-order chaotic Chen system and the fractional-order chaotic Lü system with unknown parameters is achieved.

Theoretical analysis and numerical simulations are presented to demonstrate the validity and feasibility of the proposed method.