Synchronisation of fractional dynamical chaotic systems with several slaves

Abstract

In this paper, a synchronisation of dynamical chaotic systems in fractional order using active control is considered. A novel back-stepping approach is proposed to design an active control and a Lyapunov function. This method is an approach that interlaces the design of active control with the choice of a Lyapunov function. Based on stability theorems in fractional calculus, analysis of stability is performed for the proposed method. Numerical results illustrate the effectiveness of the method.