Adaptive lag generalized projective stochastic perturbation synchronization for unknown chaotic systems with different order

In this Letter, two novel types of synchronization called lag generalized projective stochastic perturbation synchronization (LGPSS) for chaotic systems with different order are introduced. The problems of reduced order (RLGPSS) and increased order LGPSS (ILGPSS) for different chaotic systems with fully unknown parameters are considered in detail. By combining the adaptive control method and feedback control technique, the suitable controllers and parameters update laws are derived to achieve RLGPSS and ILGPSS of chaotic systems. Moreover, the unknown parameters can be efficiently estimated according to a rigorous and systematic scheme. The corresponding simulation results are given to verify the effectiveness of the proposed methods.