recurrent neural networks;
Lagrange stability;
global exponential attractivity;
delays;
D O I:
10.1016/j.nonrwa.2007.03.018
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, we study the global exponential stability in Lagrange sense for continuous recurrent neural networks (RNNs) with multiple time delays. Three different types of activation functions are considered, which include both bounded and unbounded activation functions. By constructing appropriate Lyapunov-like functions, we provide easily verifiable criteria for the boundedness and global exponential attractivity of RNNs. These results can be applied to analyze monostable as well as multistable neural networks. (C) 2007 Elsevier Ltd. All rights reserved.
机构:Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
Zeng, Zhigang
Wang, Jun
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机构:
Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
机构:
Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
Hu, SQ
Wang, J
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机构:
Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
机构:
China Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R China
Wang, Baoxian
Jian, Jigui
论文数: 0引用数: 0
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机构:
China Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R China
Jian, Jigui
Jiang, Minghui
论文数: 0引用数: 0
h-index: 0
机构:
China Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R China
机构:Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
Zeng, Zhigang
Wang, Jun
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
机构:
Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
Hu, SQ
Wang, J
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R ChinaChinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
机构:
China Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R China
Wang, Baoxian
Jian, Jigui
论文数: 0引用数: 0
h-index: 0
机构:
China Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R China
Jian, Jigui
Jiang, Minghui
论文数: 0引用数: 0
h-index: 0
机构:
China Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R ChinaChina Three Gorges Univ, Inst Nonlinear Complex Sys, Yichang 443002, Hubei, Peoples R China