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

• Main Authors: Yutian Zhang, Guici Chen, Qi Luo
• Format: Article
• Language: English
• Published: SpringerOpen 2021-06-01
• Series: Journal of Inequalities and Applications
• Subjects: pth moment exponential stability; Integral inequality; Impulse; Hopfield neural networks; Delay
• Online Access: https://doi.org/10.1186/s13660-021-02640-9

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.