| 基于线性矩阵不等式的不确定延迟神经网络鲁棒稳定性分析 |
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| 引用本文： | 林知微,仇计清,杨洪玖,阚军. 基于线性矩阵不等式的不确定延迟神经网络鲁棒稳定性分析[J]. 兵工学报, 2009, 30(1): 114-118 |
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| 作者姓名： | 林知微 仇计清 杨洪玖 阚军 |
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| 作者单位： | 北京理工大学,信息科学技术学院,北京,100081;河北科技大学理学院,河北,石家庄,050018;中国机械装备研究院,北京,100089 |
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| 摘 要： | 论文研究了时变时滞的不确定延迟神经网络的鲁棒稳定性问题。系统矩阵中包含范数有界不确定性。去掉了时变延迟的导数约束，这意味着利用一种快速时变延迟是允许的。利用Lyapunov-Krasovskii函数和线性矩阵不等式(LMI)的方法，提出一些新的时滞及时滞导数相关的稳定性准则。通过给出一个数值例子，来阐述文中所提方法的有效性和创新性。
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| 关 键 词： | 控制理论 鲁棒稳定性 神经网络 时滞 不确定系统 |
LMI-Based Robust Stability Analysis for Uncertain Delayed Neural Networks |
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| LIN Zhi-wei,QIU Ji-qing,YANG Hong-jiu,KAN Jun. LMI-Based Robust Stability Analysis for Uncertain Delayed Neural Networks[J]. Acta Armamentarii, 2009, 30(1): 114-118 |
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| Authors: | LIN Zhi-wei QIU Ji-qing YANG Hong-jiu KAN Jun |
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| Affiliation: | 1. School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081，China;2. College of Science, Hebei University of science and Technology, Shijiazhuang 050018, Hebei, China;3. Cninese Academy of Machinery and Equipment, Beijing 100089, China |
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| Abstract: | The problem of robust stability for uncertain neural networks with time-varying delays was investigated.The norm-bounded uncertainties are included in the system matrices.The constraint on time-varying delays is removed,which means that a fast time-varying delay is admissible.Some new stability criteria which are correlated with time delays and its derivatives were presented by using Lyapunov-Krasovskii function and linear matrix ineguality(LMI) approaches.A numerical example was given to illustrate the eff... |
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| Keywords: | control theory robust stability neural networks time-delays uncertain systems |
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