Inequalities and pth moment exponential stability of impulsive delayed Hopfield neural networks

In this paper, the pth moment exponential stability for a class of impulsive delayed Hopfield neural networks is investigated. Some concise algebraic criteria are provided by a new method concerned with impulsive integral inequalities. Our discussion neither requires a complicated Lyapunov function nor the differentiability of the delay function. In addition, we also summarize a new result on the exponential stability of a class of impulsive integral inequalities. Finally, one example is given to illustrate the effectiveness of the obtained results.

Automated summary

This paper investigates the pth moment exponential stability for a class of impulsive delayed Hopfield neural networks and provides concise algebraic criteria through a new method. The results show that neither a complicated Lyapunov function nor the differentiability of the delay function is required for the discussion.