Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
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作者:
Li, Xiaodi
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Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R ChinaXiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
Li, Xiaodi
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机构:
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
This paper is concerned with the existence and global exponential stability of periodic solution for a class of impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays. Some sufficient conditions ensuring the existence and global exponential stability of periodic solution are derived by constructing a suitable Lyapunov function and a new differential inequality. The proposed method can also be applied to study the impulsive Cohen-Grossberg-type BAM neural networks with finite distributed delays. The results in this paper extend and improve the earlier publications. Finally, two examples with numerical simulations are given to demonstrate the obtained results. (C) 2009 Elsevier Inc. All rights reserved.
机构:
Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R ChinaHainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
Zhang, Jie
Gui, Zhanji
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机构:
Hainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R ChinaHainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
机构:
Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R ChinaHainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
Zhang, Jie
Gui, Zhanji
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机构:
Hainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China
Hainan Normal Univ, Dept Math, Haikou 571158, Hainan, Peoples R ChinaHainan Normal Univ, Dept Comp Sci, Haikou 571158, Hainan, Peoples R China