Stability and periodicity for impulsive neural networks with delays

Advances in Difference Equations

Yuanfu Shao¹  Qianhong Zhang² 

[1] College of Science, Guilin University of Technology, Guilin, P.R. China;Guizhou Key Laboratory of Economics System, Guizhou College of Finance and Economics, Guiyang, P.R. China

关键词: periodicity;    stability;    impulsive;    delays;   

DOI  :  10.1186/1687-1847-2013-352

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By constructing a suitable Lyapunov functional and using some inequalities, we investigate the existence, uniqueness and global exponential stability of periodic solutions for a class of generalized cellular neural networks with impulses and time-varying delays. Finally, an illustrative example and simulations are given to show the effectiveness of the main results.

【 授权许可】

CC BY