| 劳斯判据特殊情况的研究 |
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| 引用本文： | 朱宁.劳斯判据特殊情况的研究[J].嘉兴学院学报,2013(6):35-38,132. |
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| 作者姓名： | 朱宁 |
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| 作者单位： | 嘉兴学院南湖学院,浙江嘉兴314001 |
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| 基金项目： | 嘉兴市科技局基金项目（2012Y1022） |
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| 摘 要： | 通过劳斯判据中出现全零行这一特殊情况，研究辅助方程与特征方程的关系；通过赫尔维茨多项式及其连分性质和多项式，结合劳斯判据证明和验证其出现偶次多项式因子的条件，并结合系统稳定性要求对偶次方程的解进行分析；通过实例证明其实用性．
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| 关 键 词： | 赫尔维茨多项式 劳斯判据 特征方程 |
Research into the Special Case of Routh Criterion |
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| ZHU Ning.Research into the Special Case of Routh Criterion[J].Journal of Jiaxing College,2013(6):35-38,132. |
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| Authors: | ZHU Ning |
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| Institution: | ZHU Ning (Nanhu College of Jiaxing University,Jiaxing,Zhejiang 314001) |
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| Abstract: | With a special case of all zero line occurred in the application of Routh criterion, the relationship between the auxiliary equation and characteristic equation is analyzed and researched. Through the Hurwitz pol- ynomial and continuous fraction properties or polynomial, with Routh criterion, the conditions for the appearance of even polynomial factor are verified, and the solution to the even equation is analyzed in accordance with the system stability requirements. Its practicability is proved by concrete examples. |
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| Keywords: | Hurwitz polynomial Routh criterion characteristic equation |
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