| 用李雅普诺夫向量法分析线性定常大系统的稳定性 |
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| 引用本文： | 刘利华,王晓琴.用李雅普诺夫向量法分析线性定常大系统的稳定性[J].西北轻工业学院学报,2003,21(5):10-12. |
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| 作者姓名： | 刘利华 王晓琴 |
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| 作者单位： | 陕西科技大学理学院，陕西科技大学理学院 陕西咸阳 712081，陕西咸阳 712081 |
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| 摘 要： | 在研究大系统的稳定性时先将整个大系统分解为若干个子系统，并且切断系统间的关联得到若干个孤立子系统；再研究孤立子系统的稳定性，并且由大系统问的关联关系得到整个系统的稳定条件，用李雅普诺夫向量法对线性定常互联大系统的稳定性进行了分析，得到了判定线性定常互联大系统在平衡点的渐近稳定的有效方法。
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| 关 键 词： | 李雅普诺夫向量法 线性定常大系统 稳定性 渐近稳定 判定方法 |
| 文章编号： | 1000-5811(2003)05-0010-03 |
| 修稿时间： | 2003年4月10日 |
LYAPUNOV VECTOR QUANTITY METHOD ANALYZES THE STABILITY OF INTERCONNECTION SYSTEM |
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| LIU Li-hua,WANG Xiao-qin.LYAPUNOV VECTOR QUANTITY METHOD ANALYZES THE STABILITY OF INTERCONNECTION SYSTEM[J].Journal of Northwest University of Light Industry,2003,21(5):10-12. |
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| Authors: | LIU Li-hua WANG Xiao-qin |
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| Abstract: | Because a large-scale linear system has high dimension, interconnected character, analyzing stabilization's method for a large-scale linear system is that, first a large-scale linear system is decomposed many subsystems , second interconnection of them is cut off, third if isolation system is steady then Lyapunov scalar quantity method and Lyapunov vector quantity method are used . In this paper, only using Lyapunov vector quantity method, the stability of interconnection systems has been analyzed. Based on this, a good method in judging stability of interconnection system is given. |
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| Keywords: | Lyapunov vector quantity method M matrix gradual stability positive faction |
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