Synchronization of Takagi-Sugeno fuzzy stochastic discrete-time complex networks with delayed impulsive effects

In this brief, the synchronization problem is investigated for Takagi-Sugeno (T-S) fuzzy stochastic discrete-time complex networks with delayed impulsive effects. The model involves impulsive delay, stochastic perturbation and time-varying delay. Employing stochastic analysis technique and Lyapunov functional theorem, a sufficient criterion is derived to ensure the exponential synchronization of the proposed T-S fuzzy system. The derived criterion not only depends on impulsive delay and interval, but also relates to stochastic perturbation and impulsive strength. Finally, an example with small-world network coupled discrete-time system is given to show the effectiveness of the main result.