A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors

• The new technique is achieved by modified sliding mode control technique, not the traditional Lyapunov method.
• The identification laws for uncertain parameters in the network are determined.
• The synchronization technique can be suitable for the arbitrarily connected network, and the node number in the network can also be selected freely.

We propose a novel scheme to achieve synchronization tracking of uncertain discrete network with spatiotemporal chaos behaviors. In this work, the traditional method of sliding mode control is firstly modified for researching conveniently the synchronization tracking of uncertain discrete network. Further, the network sliding mode surface and control input are designed, and their effectiveness are analyzed. At the same time, we also design the adaptive law to identify availably the uncertain configuration coefficient of the network sliding mode surface. Finally, an example about the small-world network is considered to illustrate the application and effectiveness of the proposed scheme.