Synchronization control of discontinuous neural networks via approximation

In this paper, complete synchronization is considered for the delayed neural networks with discontinuous activation functions. Under the framework of Filippov solution and in the sense of generalized derivative, a novel control method is given by using approximation and linear matrix inequality (LMI) approach. Based on the detailed analysis of previous works, several criteria are derived to ensure the global asymptotical stability of the error system, and thus the response system synchronizes with the drive system. Simulation results are given to illustrate the theoretical results.