Topology identification of a class of complex spatio-temporal networks with time delay

The problem of topology identification is valuable to understand and control complex networks. Furthermore, many complex networks are spatio-temporal in the real world. This study proposes a method to identify the topology of complex spatio-temporal networks with coupling time delay. Adaptive observer and novel updating laws are designed to provide the estimation of the topology. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method. The result is general and can be applicable to contemporary network science and engineering.