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.

中文翻译：

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脉冲延迟 Hopfield 神经网络的不等式和p阶矩指数稳定性

本文研究了一类脉冲延迟Hopfield神经网络的p阶矩指数稳定性。与脉冲积分不等式有关的新方法提供了一些简明的代数标准。我们的讨论既不需要复杂的李雅普诺夫函数，也不需要延迟函数的可微性。此外，我们还总结了一类脉冲积分不等式的指数稳定性的新结果。最后给出一个例子来说明所得结果的有效性。