Complex modified projective synchronization of two fractional-order complex-variable chaotic systems

In this paper, the complex modified projective synchronization (CMPS) of two different fractional-order chaotic complex systems is firstly investigated. We assume that the slave system is perturbed by external disturbances. The master and slave systems achieved CMPS can be synchronized up to a complex scaling matrix. On the basis of a novel stability theory, a robust control law is designed to realize the CMPS for two different fractional-order chaotic complex systems. The CMPS can be regarded as the generalization of several types of synchronization reported in existing literatures. Simulation results are given to verify the effectiveness and feasibility of the proposed synchronization scheme.