Simple Proof of Jury Test for Complex Polynomials
Summary :
Recently some attempts have been made in the literature to give simple proofs of Jury test for real polynomials. This letter presents a similar result for complex polynomials. A simple proof of Jury test for complex polynomials is provided based on the Rouche's Theorem and a single-parameter characterization of Schur stability property for complex polynomials.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.2 pp.550-552
- Publication Date
- 2010/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E93.A.550
- Type of Manuscript
- LETTER
- Category
- Systems and Control
Authors
Keyword
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Younseok CHOO, Dongmin KIM, "Simple Proof of Jury Test for Complex Polynomials" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 2, pp. 550-552, February 2010, doi: 10.1587/transfun.E93.A.550.
Abstract: Recently some attempts have been made in the literature to give simple proofs of Jury test for real polynomials. This letter presents a similar result for complex polynomials. A simple proof of Jury test for complex polynomials is provided based on the Rouche's Theorem and a single-parameter characterization of Schur stability property for complex polynomials.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.550/_p
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@ARTICLE{e93-a_2_550,
author={Younseok CHOO, Dongmin KIM, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Simple Proof of Jury Test for Complex Polynomials},
year={2010},
volume={E93-A},
number={2},
pages={550-552},
abstract={Recently some attempts have been made in the literature to give simple proofs of Jury test for real polynomials. This letter presents a similar result for complex polynomials. A simple proof of Jury test for complex polynomials is provided based on the Rouche's Theorem and a single-parameter characterization of Schur stability property for complex polynomials.},
keywords={},
doi={10.1587/transfun.E93.A.550},
ISSN={1745-1337},
month={February},}
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TY - JOUR
TI - Simple Proof of Jury Test for Complex Polynomials
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 550
EP - 552
AU - Younseok CHOO
AU - Dongmin KIM
PY - 2010
DO - 10.1587/transfun.E93.A.550
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2010
AB - Recently some attempts have been made in the literature to give simple proofs of Jury test for real polynomials. This letter presents a similar result for complex polynomials. A simple proof of Jury test for complex polynomials is provided based on the Rouche's Theorem and a single-parameter characterization of Schur stability property for complex polynomials.
ER -
English
