The use of Routh array for testing the Hurwitz property of a segment of polynomials

✍ Scribed by Chyi Hwang; Shih-Feng Yang

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 100 KB
• Volume: 37
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/s0005-1098(00)00142-4

✦ Synopsis

In this paper we show that the test of Hurwitz property of a segment of polynomials (1! )p (s)# p (s), where 3[0,1], p (s) and p (s) are nth-degree polynomials of real coe$cients, can be achieved via the approach of constructing a fraction-free Routh array and using Sturm's theorem. We also establish the connection between the proposed approach and the "nite-step methods based on the resultant theory and the boundary crossing theorem. In a certain sense, the proposed approach provides an e$cient numerical implementation of the later two methods and, therefore, by which the robust Hurwitz stability of convex combinations of polynomials can be checked in a de"nitely "nite number of arithmetic operations without having to invoke any root-"nding procedure.