| 多时滞中立型系统时滞相关稳定性分析 |
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| 引用本文： | 陈德银,金朝永,胡南辉,罗亮. 多时滞中立型系统时滞相关稳定性分析[J]. 科学技术与工程, 2008, 8(2): 314-319 |
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| 作者姓名： | 陈德银 金朝永 胡南辉 罗亮 |
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| 作者单位： | 广东工业大学应用数学学院,广州,510006;广东工业大学应用数学学院,广州,510006;广东工业大学应用数学学院,广州,510006;广东工业大学应用数学学院,广州,510006 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 讨论多时滞中立型系统的时滞相关稳定性.首先考虑了二维时滞中立型系统时滞相关稳定条件.通过引入自由权矩阵,描述了Leibniz-Newtow公式中各项间的关系.以线性矩阵不等式的形式给出了时滞相关稳定条件.数值例子说明所得结论比已有结果具有较小的保守性.最后将这一标准推广到多时滞中立型系统.
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| 关 键 词： | 中立型系统 时滞相关 渐近稳定 多时滞 线性矩阵不等式 |
| 收稿时间： | 2007-09-04 |
| 修稿时间： | 2007-09-04 |
Delay-dependent Stability Criteria for Neutral Systems with Multiple Time-delays |
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| CHEN De-yin,JIN Chao-yong,HU Nan-hui,LUO Liang. Delay-dependent Stability Criteria for Neutral Systems with Multiple Time-delays[J]. Science Technology and Engineering, 2008, 8(2): 314-319 |
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| Authors: | CHEN De-yin JIN Chao-yong HU Nan-hui LUO Liang |
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| Abstract: | The delay-dependent robust stability for the neutral systems with multiple time-delays is investigated.First,A new delay-dependent stability criterion for two time delays is derived.In which some free-weighting matrices are employed to describe the relationships among the terms in the Leibniz-Newton formula.In addition,the criterion is based on linear matrix inequality(LMI),such that it is easy to calculate the upper bound of the time-delay and the free-weighting matrices.A numerical example is presented to illustrate that the new sufficient condition is less conservative than the previous results..Finally,this idea is extended to neutral system with multiple time-delays. |
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| Keywords: | neutral systems delay-dependent asymptotically stable multiple time-delay linearmatrix inequality |
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