Abstract： For the structurally balanced and structurally unbalanced graphs, two new fixedtime control protocols were designed to ensure the bipartite synchronization for coupled delayed neural networks with external disturbances. According to the fixedtime stability theory and some inequality skills, some sufficient criteria were obtained to guarantee the coupled network to reach bipartite synchronization in fixed time, and the upperbounds of the settling time were estimated. The robustness and the disturbance rejection were verified. To improve the applicability of the considered network models, the considered activation functions were discontinuous, and the differential inclusion and setvalued Lie derivative theories were used to handle with the discontinuous systems. The numerical simulations were proposed for the fixedtime bipartite synchronization of coupled delayed neural networks under the structurally balanced and structurally unbalanced graphs, respectively. The results show that the effectiveness of the control algorithm and the validity of the theoretical results are verified.
