Lag projective synchronization of a class of complex network constituted nodes with chaotic behavior

• A method of the lag projective synchronization of a class of network is proposed.
• Lag effect between network node and chaos signal of target system is considered.
• The control input of network and identification law of adjustment parameters are designed.

In this paper, a method of the lag projective synchronization of a class of complex network constituted nodes with chaotic behavior is proposed. Discrete chaotic systems are taken as nodes to constitute a complex network and the topological structure of the network can be arbitrary. Considering that the lag effect between network node and chaos signal of target system, the control input of the network and the identification law of adjustment parameters are designed based on Lyapunov theorem. The synchronization criteria are easily verified.