| 矩阵DA的特征值及在系统稳定性分析中的应用 |
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| 引用本文： | 于伟. 矩阵DA的特征值及在系统稳定性分析中的应用[J]. 大学数学, 1996, 0(3) |
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| 作者姓名： | 于伟 |
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| 作者单位： | 青岛大学 |
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| 摘 要： | 本文分析了矩阵ＤＡ的特征值，并提出了一种新的矩阵稳定性问题：Ｄ－－稳定性和块Ｄ－－稳定性．这里Ｄ是一个正对角阵，Ａ是给定的矩阵．应用劳斯判据及李雅普诺夫方法等，详细地分析了此类稳定性问题，提出了一些易于验证的结果，可用于分析多变量奇异摄动系统稳定问题．
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| 关 键 词： | D－稳定性，块D－稳定性，李雅普诺夫方法 |
The Eigenvalues of Matrix DA and its Application in the Stability Analysis of Systems |
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| Yu Wei. The Eigenvalues of Matrix DA and its Application in the Stability Analysis of Systems[J]. College Mathematics, 1996, 0(3) |
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| Authors: | Yu Wei |
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| Abstract: | In this paper, We analyse the eigenvalues of matrix DA and propose the new matrix stability problems: D-Stability and Block D -Stability, here D is a positive diagonal matrix, Ais a given system matrix. Applying Routh ctetirion and Lyapunov method, we give a detail discuss tothe problems and get some results which are easily verified. and can be used in analysing the stabilityof Multi-variable singularly perturbed systems. |
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| Keywords: | D-Stability Block D-Stability Lyapunov method |
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