| 广义大系统的Lyapunov稳定性分析 |
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| 引用本文： | 沃松林,邹云.广义大系统的Lyapunov稳定性分析[J].数学的实践与认识,2005,35(1):131-136. |
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| 作者姓名： | 沃松林 邹云 |
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| 作者单位： | 1. 南京理工大学自动化系,南京,210094;常州信息职业技术学院基础部,常州,213164
2. 南京理工大学自动化系,南京,210094 |
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| 摘 要： | 广义大系统的稳定性是一个非常重要的问题 ,由于广义大系统的复杂性 ,对其稳定性的研究也是一件相当困难的事情 .本文利用 Lyapunov方程 ,应用 Lyapunov函数法 ,研究了广义线性大系统和广义非线性大系统的稳定性和不稳定性 ,得到了系统的关联稳定参数域和不稳定域 .给出例子说明该方法的可行性 .
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| 关 键 词： | 广义系统 大系统 Lyapunov函数 关联参数域 |
| 修稿时间： | 2003年2月26日 |
Lyapunov Stability Analysis of Singular Large-scale Systems |
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| WO Song-lin,ZOU Yun.Lyapunov Stability Analysis of Singular Large-scale Systems[J].Mathematics in Practice and Theory,2005,35(1):131-136. |
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| Authors: | WO Song-lin ZOU Yun |
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| Institution: | WO Song-lin 1,2,ZOU Yun1 |
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| Abstract: | The stability for singular large-scale system is an important issue. It is also difficult issue because singular large-scale system is very complicated. In this paper, we analyzed the asymptotic stability and unsteady for singular linear large-scale system and singular non-linear large-scale system by the method of Lyapunov equation and Lyapunov function. The interconnecting parameter regions of asymptotic stability and unsteady for them are obtained. An example shows that the theorem is feasible. |
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| Keywords: | singular system large-scale system Lyapunov function interconnecting parameter regions |
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