Hybrid projective synchronization of time-delayed fractional order chaotic systems

Hybrid projective synchronization of fractional order chaotic systems with time-delay is investigated. It is shown that the slave system can be synchronized with the driver up to a scaling matrix. According to the stability theorem of linear fractional order systems with multiple time-delays, a nonlinear controller is proposed for the synchronization. Finally, two different structural time-delayed fractional order chaotic systems are applied to realize hybrid projective synchronization. The corresponding numerical results show the effectiveness and robustness of the controller.