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Global stability of cellular neural networks with constant and variable delays

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成果类型:
期刊论文
作者:
Li, XM;Huang, LH*;Zhu, HY
通讯作者:
Huang, LH
作者机构:
[Huang, LH] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China.
Nanhua Univ, Dept Math, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Huang, LH] H
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China.
语种:
英文
关键词:
DCNNs;Global asymptotic stability;Global exponential stability;Variable delay
期刊:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN:
0362-546X
年:
2003
卷:
53
期:
3-4
页码:
319-333
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
This paper gives new conditions ensuring global asymptotic stability and global exponential stability for cellular neural networks with constant delay and variable delay, respectively. These conditions are derived by using the essence of piecewise linearity of the output function of cellular neural networks and by constructing Lyapunov functions and functionals. Furthermore, these conditions are significantly weaker than those given in existing liter...

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