New approach to synchronization of two different fractional-order chaotic systems

Abstract

This paper proposes a new method for synchronization of two different fractional-order chaotic systems. By using fractional calculus properties and some result of the stability theorem of fractional-order systems, we suggest a new method to achieve the synchronization in such cases. The analytical conditions for synchronization of these different fractional-order systems are derived by utilizing Laplace transform. For transforming our problem into a general synchronization between fractional-order chaotic systems with equal orders, we used fractional operators in the controller, and nonlinear feedback control is suggested by using of the active control method concepts. We present an example that illustrate the performance and application of proposed method.