Another Elementary Proof of the Stability Criterion of Lienard and Chipart

摘要：

Hurwitz polynomial plays an important role in control theory and stability theory .The author firstly gives the concept of a finite positive sequence and the polynomials of first and second kind with repect to a positive sequence. Using the generators of a real positive definite Hankel matrice, this paper gives a new necessary and sufficient condition for a polynomial to be Hurwitz polynomial, a simple proof of the stability criterion of Lienard and Chipart can be obtained.

关键词： rational generator Hurwitz polynomial polynomials of the first kind stability criterion of Lienard and Chipart

作者: Lixin Jia

作者单位: Electronic Technology Institute, Information Engineering University, Zhengzhou, 450004

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 611-614

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）