Stability analysis for neural networks with discontinuous neuron activations and impulses
被引:0
|
作者:
Wu, Huaiqin
论文数: 0引用数: 0
h-index: 0
机构:
Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R ChinaHarbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
Wu, Huaiqin
[1
,2
]
Xue, Xiaoping
论文数: 0引用数: 0
h-index: 0
机构:
Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R ChinaHarbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
Xue, Xiaoping
[1
]
Zhong, Xiaozhu
论文数: 0引用数: 0
h-index: 0
机构:
Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R ChinaHarbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
Zhong, Xiaozhu
[2
]
机构:
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
[2] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R China
来源:
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL
|
2007年
/
3卷
/
6B期
关键词:
neural networks;
global exponential stability;
impulse;
differential inclusions;
D O I:
暂无
中图分类号:
TP18 [人工智能理论];
学科分类号:
081104 ;
0812 ;
0835 ;
1405 ;
摘要:
In this paper, by using the fixed point theorem of differential inclusion theory and constructing suitable Lyapunov functions, we study the existence, uniqueness and global exponential stability of periodic solution for neural networks with discontinuous neuron activations and, impulses. The results show that the Forti's conjecture is true when neural networks are affected by impulses. Further, a numerical example is given to demonstrate the effectiveness of the results obtained in this paper.
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Meng, Yimin
Huang, Lihong
论文数: 0引用数: 0
h-index: 0
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Huang, Lihong
论文数: 引用数:
h-index:
机构:
Guo, Zhenyuan
Hu, Qingwen
论文数: 0引用数: 0
h-index: 0
机构:
Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, CanadaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Huzhou Teachers Coll, Dept Math, Huzhou 313000, Zhejiang, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Li, Liping
Huang, Lihong
论文数: 0引用数: 0
h-index: 0
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China