Delay-derivative-dependent synchronization for coupled Lur´e system with time-delay and nonlinear couplings

This paper deals with global synchronization in arrays of coupled delayed Lur´e systems with nonlinear couplings, in which the interval variable delay is treated. Together with Krasovskii-Lyapunov functional method and Kronecker product technique, two novel synchronization criteria are presented in terms of linear matrix inequalities (LMIs) based on generalized convex combination, in which the conditions are heavily dependent on upper and lower bounds of time-delay and delay 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.