Topology identification of two-layer unidirectional complex dynamical networks based on auxiliary system approach

This paper investigates topology identification of two-layer unidirectional complex dynamical networks based on auxiliary-system approach. Particularly, consider the interested layer as response layer, the other layer as drive layer, then construct a auxiliary layer which is driven by the driving signal as an identical duplication of the response layer. Based on the theory of Barbalat's lemma, some control inputs and updating laws are designed so that nodes in the auxiliary layer reaches complete synchronization with their counterparts in the response layer and the unknown topology of the response layer can be adaptively identified, meanwhile, the drive layer and the response layer achieve generalized synchronization. Numerical simulations are provided to illustrate the effectiveness of the proposed method. We expect that the analysis in this paper could prompt attention and provide basic insight into further research on detecting the route and the source of rumor and pseudo news spreading.