pth Moment exponential stability of stochastic delayed hybrid systems with Lévy noise

In this paper, the problem of pth moment exponential stability analysis is considered for stochastic delayed hybrid systems with Lévy noise. By the technique of stochastic analysis as well as M-matrix theories, we propose some sufficient conditions to guarantee the exponential stability of the system. The criterion of mean square exponential stability for delayed neural networks with Lévy noise is derived as well. A numerical example is provided to show the usefulness of the proposed exponential stability criterion.