Finite-time H∞ sampled-data synchronization for Markovian jump complex networks with time-varying delays

This paper investigates the finite-time H∞ sampled-data synchronization problem for a class of dynamical complex networks with Markovian jump and time-varying delays. Based on a modified Lyapunov–Krasovskii function (LKF), which is fully considered the characteristics of sampled-data, a sampled-data controller are obtained. By introducing the free weighting matrices, some novel auxiliary function-based integral inequalities are applied to have less conservative than other existing results. Finally, three examples are given to show the effectiveness and superiority of the proposed methods.