利用霍尔维茨多项式求证劳斯判据

Proof of Routh Criterion with Hurwitz Polynomial

分析了霍尔维茨（Ｈｕｒｗｉｔｚ）多项式的连分式性质，应用网络理论中的正实函数ＰＲＦ（Ｐｏｓｉｔｉｖｅ ＲｅａｌＦｕｎｃｔｉｏｎ）性质，对自动控制理论中的稳定性判据－劳斯判据与霍尔维茨多项式间的关系进行了阐述。

The continuous divided equations characteristics of the Huriwitz polynomial are analysed in this paper. The relation between the Routh criterion, the stability criterion in control theory, and Hurwitz polynomial is expatiated using the Positive Real Function (PRF) in network theory.