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STOCHASTIC STABILITY OF COHEN-GROSSBERG NEURAL NETWORKS WITH UNBOUNDED DISTRIBUTED DELAYS

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成果类型:
期刊论文
作者:
Chen, Ping*;Huang, Chuangxia;Liang, Xiaolin
通讯作者:
Chen, Ping
作者机构:
[Chen, Ping; Liang, Xiaolin; Huang, Chuangxia] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Chen, Ping] C
Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
Almost sure exponential stability;And phrases. cohen-grossberg neural networks;Distributed delays;Lyapunov functional;Stochastic
期刊:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN:
1072-6691
年:
2010
卷:
2010
页码:
1-11
基金类别:
Foundation of Chinese Society for Electrical Engineering; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10971240]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this article, we consider a model that describes the dynamics of Cohen-Grossberg neural networks with unbounded distributed delays, whose state variable are governed by stochastic non-linear integro-differential equations. Without assuming the smoothness, monotonicity and boundedness of the activation functions, by constructing suitable Lyapunov functional, employing the semi-martingale convergence theorem and some inequality, we obtain some sufficient cri...

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