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

Journal of Inequalities and Applications

Guici Chen¹  Qi Luo²  Yutian Zhang³ 

[1] Hubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science & Technology;School of Information & Control, Nanjing University of Information Science & Technology;School of Mathematics & Statistics, Nanjing University of Information Science & Technology;

关键词: pth moment exponential stability;    Integral inequality;    Impulse;    Hopfield neural networks;    Delay;   

DOI  :  10.1186/s13660-021-02640-9

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown