ON STABILITY OF A POLYNOMIAL
- Authors
- Kim, Jeong Heon; Su, Wei; Song, Yoon J.
- Issue Date
- May-2018
- Publisher
- KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM
- Keywords
- Hurwitz (stable) polynomial; unstable polynomial; Hurwitz stability
- Citation
- JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, v.36, no.3-4, pp.231 - 236
- Journal Title
- JOURNAL OF APPLIED MATHEMATICS & INFORMATICS
- Volume
- 36
- Number
- 3-4
- Start Page
- 231
- End Page
- 236
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/31655
- DOI
- 10.14317/jami.2018.231
- ISSN
- 1598-5857
- Abstract
- A polynomial, p(z) = a(0)z(n) + a1z(n-1) + ... + a(n-1)z + a(n); with real coefficients is called a stable or a Hurwitz polynomial if all its zeros have negative real parts. We show that if a polynomial is a Hurwitz polynomial then so is the polynomial q(z) = a(n)z(n)+a(n-1) z(n-1)+ ... +a1z+ a(0) (with coefficients in reversed order). As consequences, we give simple ratio checking inequalities that would determine unstability of a polynomial of degree 5 or more and extend conditions to get some previously known results.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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