Global quasi-synchronization and global anti-synchronization of delayed neural networks with discontinuous activations via non-fragile control strategy

Abstract This paper deals with the global quasi-synchronization and global anti-synchronization issue of delayed neural networks with discontinuous activations (DNNDA) by means of the non-fragile control strategy. In this paper, a class of DNNDA model is presented. Furthermore, applying the Lyapunov-Krasovskii function with matrix measure, the sufficient conditions are put forward to ensure that such DNNDA drive system and DNNDA response system are global quasi-synchronized. In addition, based on a novel Lur′e-Postnikov Lyapunov function, differential inclusion theory and inequality analysis technique, the sufficient conditions to achieve the global anti-synchronization of the DNNDA drive system and DNNDA response system are proposed in term of the Linear matrix inequalities (LMIs). Finally, two typical numerical simulations are provided to show the effectiveness of the obtained results.