Necessary Conditions for θ-Stability of Real Polynomials
Summary :
In this letter we present some easily checkable necessary conditions for a polynomial with positive coefficients to have all its zeros in a prescribed sector in the left half of the complex plane. As an auxiliary result, we also obtain a new necessary condition for the Hurwitz stability.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.8 pp.1628-1631
- Publication Date
- 2016/08/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E99.A.1628
- Type of Manuscript
- LETTER
- Category
- Systems and Control
Authors
Younseok CHOO
Hongik University
Keyword
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Younseok CHOO, "Necessary Conditions for θ-Stability of Real Polynomials" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 8, pp. 1628-1631, August 2016, doi: 10.1587/transfun.E99.A.1628.
Abstract: In this letter we present some easily checkable necessary conditions for a polynomial with positive coefficients to have all its zeros in a prescribed sector in the left half of the complex plane. As an auxiliary result, we also obtain a new necessary condition for the Hurwitz stability.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.1628/_p
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@ARTICLE{e99-a_8_1628,
author={Younseok CHOO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Necessary Conditions for θ-Stability of Real Polynomials},
year={2016},
volume={E99-A},
number={8},
pages={1628-1631},
abstract={In this letter we present some easily checkable necessary conditions for a polynomial with positive coefficients to have all its zeros in a prescribed sector in the left half of the complex plane. As an auxiliary result, we also obtain a new necessary condition for the Hurwitz stability.},
keywords={},
doi={10.1587/transfun.E99.A.1628},
ISSN={1745-1337},
month={August},}
Copy
TY - JOUR
TI - Necessary Conditions for θ-Stability of Real Polynomials
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1628
EP - 1631
AU - Younseok CHOO
PY - 2016
DO - 10.1587/transfun.E99.A.1628
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2016
AB - In this letter we present some easily checkable necessary conditions for a polynomial with positive coefficients to have all its zeros in a prescribed sector in the left half of the complex plane. As an auxiliary result, we also obtain a new necessary condition for the Hurwitz stability.
ER -
English
