Finite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems

Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions of delay fractional differential equations in discrete times. The mix synchronization problem is formulated as an optimization problem. A modified version of particle swarm optimization (MPSO) method is used for solving the problem. It is shown that the proposed method can be applied in wide range of master-slave systems with commensurate or non-commensurate fractional orders. Numerical simulations show the efficiency and robustness of the proposed method.