| 时变时滞神经网络系统的时滞依赖的鲁棒稳定性准则 |
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| 引用本文： | 苏卫卫,陈一鸣,张拥萍,崔玉环,李霞.时变时滞神经网络系统的时滞依赖的鲁棒稳定性准则[J].计算技术与自动化,2007,26(2):1-4. |
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| 作者姓名： | 苏卫卫 陈一鸣 张拥萍 崔玉环 李霞 |
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| 作者单位： | 1. 燕山大学,理学院,河北,秦皇岛,066004
2. 河北科技师范学院,河北,秦皇岛,066004 |
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| 摘 要： | 基于Lyapunov稳定性理论和线性矩阵不等式技术,针对一类带有范数有界不确定性的时变时滞神经网络系统,给出时滞依赖的鲁棒稳定性准则.系统稳定的充分条件是在激励函数满足一类更为通用的条件下得到的,即激励函数不必是单调可微的,并且消除对时变时滞导数的限制.所给的准则可用Matlab中的线性矩阵不等式控制工具箱进行验证.仿真结果进一步证明结论的有效性.
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| 关 键 词： | 时滞依赖鲁棒稳定性 时变时滞 范数有界不确定性 时变时滞 神经 网络系统 时滞依赖 鲁棒 稳定性准则 Delays Neural Networks Stability Criterion 有效性 仿真结果 验证 工具箱 控制 Matlab 时滞导数 可微 充分条件 激励函数 系统稳定 |
| 文章编号： | 1003-6199（2007）02-0001-04 |
| 收稿时间： | 2006-12-31 |
| 修稿时间： | 2006年12月31 |
Delay-dependent Robust Stability Criterion of Neural Networks with Time-varying Delays |
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| SU Wei-wei,CHEN Yi-ming,ZHANG Yong-ping,CUI Yu-huan,LI Xia.Delay-dependent Robust Stability Criterion of Neural Networks with Time-varying Delays[J].Computing Technology and Automation,2007,26(2):1-4. |
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| Authors: | SU Wei-wei CHEN Yi-ming ZHANG Yong-ping CUI Yu-huan LI Xia |
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| Abstract: | Based on Lyapunov stability theory and linear matrix inequality, delay- dependent robust stability is derived for a class of neural networks with time - varying delays and norm - bounded uncertainties. The result is obtained under mild conditions, assuming neither differentiability nor monotonicity for activation function. And the restriction of the derivative of the time - varying delay is removed. The proposed stability criterion can be checked by the LMI Control Toolbox in Matlab. Finally, the effectiveness of the result is demonstrated by a example. |
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| Keywords: | delay - dependent robust stability time - varying delay norm - bounded uncertainties |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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