Abstract: This paper investigated the generalized synchronization problem of time-varying time-delay two-layer complex networks with unknown topology under dynamic soft variable structure control. Firstly,the models of such drive and response networks were established. Then,a dynamic soft variable structure controller and an adaptive topology observer were designed to achieve generalized synchronization of the two networks in the case of unknown topology. Sufficient conditions for realizing generalized synchronization and topology identification were derived,and rigorous mathematical proofs were provided for these conditions. Finally,the effectiveness of the proposed method was verified through several numerical simulation examples. The results show that,compared with commonly used controllers,the proposed dynamic soft variable structure controller can achieve network synchronization at a faster rate and simultaneously identify the parameters of the two-layer network system under the synchronization condition.