Elementary derivation of the Routh-Hurwitz criterion

Ming Tzu Ho, Aniruddha Datta, S. P. Bhattacharyya

研究成果: Chapter

1 引文 斯高帕斯(Scopus)

摘要

In most undergraduate texts on control systems, the Routh-Hurwitz criterion is usually introduced as a mechanical algorithm for determining the Hurwitz stability of a real polynomial. Unlike many other stability criteria such as the Nyquist criterion, root locus, etc. no attempt whatsoever is made to even allude to a proof of the Routh-Hurwitz criterion. Recent result using the Hermite Biehler Theorems have, however, succeeded in providing a simple derivation of Routh's algorithm for determining the Hurwitz stability or otherwise of a given real polynomial. However, this derivation fails to capture the fact that Routh's algorithm can also be used to count the number of open right half plane roots of a given polynomial. This paper shows that by using appropriately generalized versions of the Hermite-Biehler Theorem, it is possible to provide a simple derivation of the Routh-Hurwitz criterion which also captures its unstable root counting capability.

原文English
主出版物標題Proceedings of the IEEE Conference on Decision and Control
編輯 Anon
頁面3595-3597
頁數3
出版狀態Published - 1996 十二月 1
事件Proceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn
持續時間: 1996 十二月 111996 十二月 13

出版系列

名字Proceedings of the IEEE Conference on Decision and Control
4
ISSN(列印)0191-2216

Other

OtherProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
城市Kobe, Jpn
期間96-12-1196-12-13

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 建模與模擬
  • 控制和優化

指紋

深入研究「Elementary derivation of the Routh-Hurwitz criterion」主題。共同形成了獨特的指紋。

引用此