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A test for robust Hurwitz stability of convex combinations of complex polynomials

✍ Scribed by Shih-Feng Yang; Chyi Hwang

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 158 KB
Volume: 339
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(02)00014-5

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✦ Synopsis

In this paper we present a method for testing the Hurwitz property of a segment of polynomials ð1 À lÞp 0 ðsÞ þ lp 1 ðsÞ; where lA½0; 1 and p 0 ðsÞ and p 1 ðsÞ are nth-degree polynomials with complex coefficients. The method consists in constructing a parametric Routh-like array with polynomial entries and generating Sturm sequences for checking the absence of zeros of two real l-polynomials of degrees 2 and 2n in the interval ð0; 1Þ: The presented method is easy to implement. Moreover, it accomplishes the test in a finite number of arithmetic operations because it does not invoke any numerical root-finding procedure.

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