Anticipating and projective–anticipating synchronization of coupled multidelay feedback systems

In this Letter, the model of coupled multidelay feedback systems is investigated with the schemes of anticipating and projective–anticipating synchronizations. Under these synchronization schemes, the slave anticipates the master's trajectory. Moreover, with projective–anticipating synchronization there exists a scale factor in the amplitudes of the master's and slave's state variables. In the both cases, the driving signals are in the form of multiple nonlinear transformations of delayed state variable. The Krasovskii–Lyapunov theory is used to consider the sufficient condition for synchronization. The effectiveness of the proposed schemes is confirmed by the numerical simulation of specific examples with modified Ikeda and Mackey–Glass systems.