In this paper,we investigate the stabilization of an incommensurate fractional order chaotic systems and propose a modified adaptive-feedback controller for the incommensurate fractional order chaos control based on the Lyapunov stability theory,the fractional order differential inequality and the adaptive control theory.The present controller, which only contains a single state variable,is simple both in design and in implementation.The simulation results for several fractional order chaotic systems are provided to illustrate the effectiveness of the proposed scheme.
This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory.The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws.Moreover,the scheme is analytical and is simple to implement in practice.The well-known fractional order chaotic L system is used to illustrate the validity of this theoretic method.
In this paper we investigate the synchronization of a class of three-dimensional fractional-order chaotic systems.Based on the Lyapunov stability theory and adaptive control technique,a single adaptive-feedback controller is developed to synchronize a class of fractional-order chaotic systems.The presented controller which only contains a single driving variable is simple both in design and in implementation.Numerical simulation and circuit experimental results for fractional-order chaotic system are provided to illustrate the effectiveness of the proposed scheme.
