Liénard-Chipart稳定性准则的一个初等证明

数学季刊 ›› 1999, Vol. 14 ›› Issue (3): 76-79.

Liénard-Chipart稳定性准则的一个初等证明

Department of Basic Sciences，Electronic and Technology Institute，Zhengzhou，450004

收稿日期:1997-04-03 出版日期:1999-09-30 发布日期:2024-09-13

Another Elementary Proof of the Stability Criterion of Liénard and Chipart

Department of Basic Sciences，Electronic and Technology Institute，Zhengzhou，450004

Received:1997-04-03 Online:1999-09-30 Published:2024-09-13

摘要/Abstract

摘要： Using the theory of polynomials,this paper gives a new necessary and sufficient condition for a polynomial to be Hurwitz polynomial,a simple proof of the stability criterion of Liénard and Chipart is also obtained.

关键词: , Hurwitz polynomial；polynomials of the first kind；stability criterion of Liénard and , Chipar

Abstract: Using the theory of polynomials,this paper gives a new necessary and sufficient condition for a polynomial to be Hurwitz polynomial,a simple proof of the stability criterion of Liénard and Chipart is also obtained.

Key words: , Hurwitz polynomial；polynomials of the first kind；stability criterion of Liénard and , Chipar

中图分类号:

O174

贾利新. Liénard-Chipart稳定性准则的一个初等证明[J]. 数学季刊, 1999, 14(3): 76-79.

Jia Lixin. Another Elementary Proof of the Stability Criterion of Liénard and Chipart [J]. Chinese Quarterly Journal of Mathematics, 1999, 14(3): 76-79.

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