Adaptive open-plus-closed-loop method of projective synchronization in drive-response dynamical networks

This paper investigates the problem of projective synchronization (PS) in drive-response dynamical networks (DRDNs) with mismatched terms. Based on the adaptive open-plus-closed-loop (AOPCL) method, a general method of PS is derived in DRDNs, which is robust to limited accuracy of data and effects of noise. Moreover, the feedback gains of the closed loop control part can be automatically adapted to suitable constants. Corresponding numerical simulations on Lorenz system are performed to verify and illustrate the analytical results.

► PS in complex networks with the model mismatched is investigated.
► There is no constraint on the coupled partially linear chaotic systems.
► Adaptive open-plus-closed-loop controller is designed to achieve PS.
► The proposed scheme is robust to limited accuracy of data and effects of noise.