| Lurie间接控制大系统的绝对稳定性 |
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| 引用本文： | 郭俊伶,廖福成. Lurie间接控制大系统的绝对稳定性[J]. 北京科技大学学报, 2006, 28(7): 704-708 |
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| 作者姓名： | 郭俊伶 廖福成 |
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| 作者单位： | 北京科技大学应用科学学院,北京,100083 |
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| 摘 要： | 利用大系统分解方法和Lyapunov第二方法研究了一类Lurie间接控制大系统, 结合Metzler矩阵的性质,建立了这类Lurie间接控制大系统的稳定性与低维矩阵稳定之间的关系,从而得到了这类Lurie间接控制大系统绝对稳定的充分条件.其结论判断起来方便、简捷.应用实例说明了该方法的优越性.
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| 关 键 词： | Lurie系统 绝对稳定性 Lyapunov函数 Metzler矩阵 控制大系统 绝对稳定性 systems control stability 应用 判断 充分条件 关系 性质 矩阵 结合 研究 系统分解方法 Lyapunov 利用 |
| 收稿时间： | 2005-03-23 |
| 修稿时间： | 2005-09-07 |
Absolute stability of Lurie indirect control large-scale systems |
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| GUO Junling,LIAO Fucheng. Absolute stability of Lurie indirect control large-scale systems[J]. Journal of University of Science and Technology Beijing, 2006, 28(7): 704-708 |
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| Authors: | GUO Junling LIAO Fucheng |
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| Affiliation: | Applied Science School, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | By using the large-scale system technique and Lyapunov second method, this paper studies a class of Lurie indirect control large-scale systems, and builds up a relationship between this kind of systems and the stability of the reduced dimensionality in accordance with the Metzler matrix. The sufficient conditions of the absolute stability about this Lurie indirect control system are obtained. The presented method is simple, and its superiority is shown by an example. |
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| Keywords: | Lurie system absolute stability Lyapunov function Metzler matrix |
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