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

Yutian Zhang, Guici Chen, Qi Luo

Journal of Inequalities and Applications · 2021

doi:10.1186/s13660-021-02640-9 (opens in a new tab)

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Abstract

Abstract 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.

Abstract licence: CC BY-NC-ND

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