| 劳斯(Routh)稳定性判据判定范围再划分 |
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| 引用本文： | 张家桂.劳斯(Routh)稳定性判据判定范围再划分[J].济南大学学报(自然科学版),1992(4). |
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| 作者姓名： | 张家桂 |
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| 作者单位： | 山东建材学院自动化系 |
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| 摘 要： | 对劳斯稳定性判据判定范围进行了再划分,明确地判定出某线性定常系统属于渐近稳定,还是临界稳定,或是发散不稳定。并以具有代表性的一些例题,说明如何判定一个线性定常系统的稳定性的类别,推证出特征方程所有对称于坐标原点互为相反数根的一般表达式。
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| 关 键 词： | 定常系统的稳定性 劳斯稳定性判据 线性定常系统 |
REDIVISION ON THE TESTING AREA OF ROUTH STABILITY CRITERION |
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| Zhang Jiagui.REDIVISION ON THE TESTING AREA OF ROUTH STABILITY CRITERION[J].Journal of Jinan University(Science & Technology),1992(4). |
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| Authors: | Zhang Jiagui |
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| Institution: | Department of Industrial Automation |
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| Abstract: | In this paper, the testing area of Routh Stability Criteron is redivided. Asymptotic stability or critcal stability or divergent unstability of a linear invariant system are clearly judged. Some typical examples are given to illustrate how to judge the stabitity type of a linear invariant system and deduce the general expression for eigenvalues which are symmetic members of the coordinate origin. |
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| Keywords: | Routh Stability Criterion linear invariant system ginstability of invariant system |
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