This paper is concerned with the synchronization problem for Lur’e-type dynamical complex networks with time-varying delay. The problem of non-linear time-varying delayed Lur’e-type dynamical networks are changed into the corresponding stabilization situation of dynamical error systems. Based on the improved Lyapunov–Krasovskii functional, which utilizes the information of time-varying delay adequately, some new synchronization criteria are derived via a linear matrix inequality with different sector conditions. Furthermore, by using an eigenvalue-decoupling method, high-dimension criteria are decoupled into low-dimension ones and the complexity of the criterion computation is reduced. Then the numerical examples are carried out to demonstrate the applicability and effectiveness of the proposed work through simulations.
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