Bipartite Synchronization of Signed Networks With Time-Vary Delays Based on T-S Fuzzy System

This article studies the bipartite synchronization of signed networks with time-varying delays based on Takagi–Sugeno (T-S) fuzzy system, where the edges between nodes can be positive or negative. Assume that the signed graph of the network is structurally balanced. First, the signed network system is described by T-S fuzzy model and then the control controller is used to control the network nodes, which can facilitate nodes to reach a synchronous state. Then, some important lemmas and sufficient conditions are put forward to achieve bipartite synchronization of the signed networks. Finally, a numerical example is presented to certify the rationality of the theoretical results.