Finite-time synchronization of delayed competitive neural networks with discontinuous neuron activations

This paper is concerned with the finite-time synchronization problem for a class of delayed competitive neural networks with discontinuous activations. Using the theory of differential inclusions, nonsmooth analysis, inequality techniques and a generalized finite-time convergence theorem, new criteria are established to ensure the finite-time stability of the considered error system, and thus the finite-time synchronization between the drive system and the response system are realized. Finally, two examples with numerical simulations are presented to illustrate the effectiveness of the proposed synchronization criteria.