时滞神经网络全局渐近稳定性条件

周冬明; 曹进德; 张立明

时滞神经网络全局渐近稳定性条件

复旦大学电子工程系,上海 200433;2.东南大学应用数学系,南京 210096;

基金项目: 国家自然科学基金资助项目(60171036)

详细信息

作者简介:
周冬明(1963- ),男,湖南人,副教授,博士(E-mail:dmzhou@ynu.edu.cn);张立明(1943- ),女,上海人,教授,博导(联系人.Tel:+86-21-55664041;Fax:+86-21-65648783;E-mail:lmzhang@fudan.edu.cn).

中图分类号: O175；TP183
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出版历程
- 收稿日期: 2003-04-28
- 修回日期: 2004-09-15
- 刊出日期: 2005-03-15

Global Asymptotic Stability Conditions of Delayed Neural Networks

Department of Electronic Engineering, Fudan University, Shanghai 200433, P. R. China;
Department of Applied Mathematics, Southeast University, Nanjing 210096, P. R. China;

摘要

摘要: 利用Liapunov泛函方法,结合矩阵不等式技巧,分析了时滞细胞神经网络(DCNNs)的平衡点存在的唯一性和全局渐近稳定性,保证DCNNs的全局稳定性的一个新的充分判据被得到．所得判据提供了一些参数来适当地弥补了反馈矩阵与时滞反馈矩阵之间所需要的平衡关系．这些判据可以容易被使用来设计和检验全局稳定的网络．此外,所得判据是与时滞参数无关,且比已有文献具有更少的限制．
- 细胞神经网络 /
- 全局稳定性 /
- 矩阵不等式 /
- 时滞
Abstract: Utilizing the Liapunov functional method and combining the inequality of matrices technique to analyze the existence of a unique equilibrium point and the global asymptotic stability for delayed cellular neural networks (DCNNs), a new sufficient criterion ensuring the global stability of DCNNs is obtained. Our criteria provide some parameters to appropriately compensate for the tradeoff between the matrix definite condition on feedback matrix and delayed feedback matrix. The criteria can easily be used to design and verify globally stable networks. Furthermore, the condition presented here is independent of the delay parameter and is less restrictive than that given in the references.
- cellular neural network /
- global stability /
- inequality of matrix /
- delay

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参考文献(17)

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时滞神经网络全局渐近稳定性条件

作者简介:
周冬明(1963- ),男,湖南人,副教授,博士(E-mail:dmzhou@ynu.edu.cn);张立明(1943- ),女,上海人,教授,博导(联系人.Tel:+86-21-55664041;Fax:+86-21-65648783;E-mail:lmzhang@fudan.edu.cn).

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Global Asymptotic Stability Conditions of Delayed Neural Networks

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留言板

时滞神经网络全局渐近稳定性条件

作者简介: 周冬明(1963- ),男,湖南人,副教授,博士(E-mail:dmzhou@ynu.edu.cn);张立明(1943- ),女,上海人,教授,博导(联系人.Tel:+86-21-55664041;Fax:+86-21-65648783;E-mail:lmzhang@fudan.edu.cn).

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出版历程

Global Asymptotic Stability Conditions of Delayed Neural Networks

计量

出版历程

目录

作者简介:
周冬明(1963- ),男,湖南人,副教授,博士(E-mail:dmzhou@ynu.edu.cn);张立明(1943- ),女,上海人,教授,博导(联系人.Tel:+86-21-55664041;Fax:+86-21-65648783;E-mail:lmzhang@fudan.edu.cn).