Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms

Advances in Difference Equations

Wentao Wang¹ 

[1] College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, People’s Republic of China

关键词: impulsive high-order Hopfield neural networks;    anti-periodic solution;    exponential stability;    time-varying delay;    leakage term;   

DOI  :  10.1186/1687-1847-2013-273

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper presents new results on anti-periodic solutions for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms. By employing a novel proof, some criteria are derived for guaranteeing the existence and exponential stability of the anti-periodic solution, which are new and complement previously known results. Moreover, a numerical simulation is given to show the effectiveness.

【 授权许可】

CC BY