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This paper deals with global synchronization in arrays of coupled Lur'e systems with nonlinear delayed coupling. Together with Krasovskii-Lyapunov functional and Kronecker product technique, two novel synchronization criteria are presented in terms of linear matrix inequalities (LMIs) based on convex combination, in which the conditions are heavily dependent on the bounds of time delay and its derivative. Through employing LMI in Matlab Toolbox and adjusting some matrix parameters in the derived results, we can realize the designing and applications of the coupled systems. The effectiveness of the proposed methods can be demonstrated by one numerical example with simulations.