Sampled-data exponential synchronization of complex dynamical networks with time-varying delays and T-S fuzzy nodes

The exponential sampling synchronization of complex network systems based on T-S fuzzy model is studied in this paper. Firstly, a modified Lyapunov-Krasovskii function (LKF) is designed. The linear matrix inequalities in the synchronization criterion are obtained by combining the efficient integral inequality and the free weighting matrix while processing the LKF differential results. Secondly, on the basis of Theorem 1, the full consideration of the interference caused by the time delay phenomenon in the actual production life, theorem 2 will fully solve this problem. The time delay is added during the sampling process, and the resulting synchronization criterion makes the system have better anti-interference performance than the original system. Finally, in the simulation part, two numerical simulations are proposed to verify the correctness and practical applicability of the obtained synchronization criterion.