Function projective synchronization in complex dynamical networks with or without external disturbances via error feedback control

This paper investigates function projective synchronization (FPS) of complex dynamical networks (CDNs) with or without external disturbances using error feedback control scheme. The proposed error feedback control scheme contains only error terms, which is quite simple and easy to implement in practical applications. Then, an adaptive error feedback control scheme is designed to achieve FPS in CDNs with or without external disturbances, in which feedback gains can be automatically adapted to suitable constants. Moreover, there is no need to know the norm-bounded of the disturbances. Numerical examples are provided to show the effectiveness of proposed methods. HighlightsThis paper investigates the function projective synchronization (FPS) in complex dynamical networks (CDNs) without or with external disturbances.An error feedback control scheme is proposed for FPS in CDNs. The proposed scheme contains only error terms and is quite simple and easy to implement in practical applications.An adaptive error feedback scheme is designed. The feedback gains can be automatically adapted to suitable constants.The proposed adaptive scheme is shown to be robust to limited accuracy of data and effects of external disturbances.There is no need to know the norm-bounded of the disturbances.

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