Synchronization of T-S fuzzy complex dynamical networks with unknown topological structure and distributed time-varying delay

This paper investigates the synchronization problem of Takagi-Sugeno fuzzy complex networks with unknown topological structure and distributed time-varying delay. An adaptive feedback strategy for a new general class of complex networks with fuzzy logic is proposed and the asymptotic synchronization condition is given in terms of linear matrix inequalities (LMIs). The designed adaptive controller is only connected with the dynamical behavior of directly related nodes. Based on the Lyapunov theory, we obtain the sufficient conditions for the fuzzy network to achieve synchronization. The numerical example is given to demonstrate the effectiveness of the proposed theoretical result.