Stability analysis of Hopfield neural networks perturbed by Poisson noises

In this paper, the stability problem is investigated for Hopfield neural networks (HNNs) perturbed by Poisson noises. Note that Poisson process can better reflect the dynamical behaviors of jump stochastic noises which exist widely in neurons. A stability criterion for HNNs perturbed by Poisson noises is presented by employing a combination of the martingale theory and measure theory. Finally, a simulation example is given to illustrate the effectiveness of the proposed stability criteria.