On the Robustness of Hurwitz Polynomials under Coefficient Perturbation
- Authors
- Choo, Younseok
- Issue Date
- Oct-2014
- Publisher
- IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
- Keywords
- robust stability; Hurwitz polynomial; Schur polynomial; bilinear transformation
- Citation
- IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, v.E97A, no.10, pp.2079 - 2082
- Journal Title
- IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
- Volume
- E97A
- Number
- 10
- Start Page
- 2079
- End Page
- 2082
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/16579
- DOI
- 10.1587/transfun.E97.A.2079
- ISSN
- 1745-1337
- Abstract
- This note presents a new approach for the robustness of Hurwitz polynomials under coefficient perturbation. The s-domain Hurwitz polynomial is transformed to the z-domain polynomial by the bilinear transformation. Then an approach based on the Rouche theorem introduced in the literature is applied to compute a erode bound for the allowable coefficient variation such that the perturbed polynomial maintains the Hurwitz stability property. Three methods to obtain improved bounds are also suggested. The results of this note are computationally more efficient than the existing direct s-domain approaches especially for polynomials of higher degree. Furthermore examples indicate that the exact bound for the coefficient variation can be obtained in some cases.
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Collections - College of Science and Technology > Department of Electronic and Electrical Engineering > 1. Journal Articles
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