| 不确定多时滞线性系统的稳定性 |
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| 引用本文： | 张克跃,曹登庆.不确定多时滞线性系统的稳定性[J].西南交通大学学报,2004,39(2):176-180. |
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| 作者姓名： | 张克跃 曹登庆 |
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| 作者单位： | 1. 西南交通大学峨眉分校,四川,峨眉山,614202
2. 西南交通大学应用力学与工程系,四川,成都,610031 |
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| 摘 要： | 对于多参数扰动下的多时滞线性系统，构造二次型加积分项的Lyapunov泛函，导出了系统鲁棒稳定的时滞独立准则，由于利用了不确定性的结构特点，该准则给出的时滞独立扰动界关于参数空间的原点可以是非对称的，扩大了系统的稳定参数域，给出了所得结果的数值算例，并与已有的结果作了比较。
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| 关 键 词： | 时滞系统 稳定性 不确定参数 Lyapunov泛函 |
| 文章编号： | 0258-2724(2004)02-0176-05 |
Stability of Uncertain Linear Systems with Multiple Time-Delays |
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| ZHANG Ke-yue,CAO Deng-qing.Stability of Uncertain Linear Systems with Multiple Time-Delays[J].Journal of Southwest Jiaotong University,2004,39(2):176-180. |
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| Authors: | ZHANG Ke-yue CAO Deng-qing |
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| Institution: | ZHANG Ke-yue~1,CAO Deng-qing~2 |
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| Abstract: | A stability robustness criterion was derived for uncertain linear systems with multiple time-delays by constructing a quadratic Lyapunov functional with an integral term. The robust stability bounds obtained are not necessarily symmetric to the origin in the parameter space, and can significantly enlarge the stability region for the uncertain parameters. A numerical example was given to demonstrate the results obtained and compare them with those available in the current literatures. |
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| Keywords: | time-delay systems stability uncertain parameters Lyapunov functional |
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