The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
De nouvelles caractérisations équivalentes sont dérivées de la propriété de stabilité de Schur des polynômes réels. Ils impliquent un seul paramètre scalaire, qui peut être considéré comme une liberté incorporée dans les polynômes donnés tant que la stabilité est concernée. Des applications possibles des expressions sont suggérées aux derniers résultats pour l'analyse de robustesse et de stabilité dans l'espace des paramètres. De plus, une extension des caractérisations est faite au cas matriciel, donnant des expressions à un paramètre des matrices de Schur.
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Takehiro MORI, Hideki KOKAME, "Single-Parameter Characterizations of Schur Stability Property" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 8, pp. 2061-2064, August 2001, doi: .
Abstract: New equivalent characterizations are derived for Schur stability property of real polynomials. They involve a single scalar parameter, which can be regarded as a freedom incorporated in the given polynomials so long as the stability is concerned. Possible applications of the expressions are suggested to the latest results for stability robustness analysis in parameter space. Further, an extension of the characterizations is made to the matrix case, yielding one-parameter expressions of Schur matrices.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_8_2061/_p
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@ARTICLE{e84-a_8_2061,
author={Takehiro MORI, Hideki KOKAME, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Single-Parameter Characterizations of Schur Stability Property},
year={2001},
volume={E84-A},
number={8},
pages={2061-2064},
abstract={New equivalent characterizations are derived for Schur stability property of real polynomials. They involve a single scalar parameter, which can be regarded as a freedom incorporated in the given polynomials so long as the stability is concerned. Possible applications of the expressions are suggested to the latest results for stability robustness analysis in parameter space. Further, an extension of the characterizations is made to the matrix case, yielding one-parameter expressions of Schur matrices.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Single-Parameter Characterizations of Schur Stability Property
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2061
EP - 2064
AU - Takehiro MORI
AU - Hideki KOKAME
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2001
AB - New equivalent characterizations are derived for Schur stability property of real polynomials. They involve a single scalar parameter, which can be regarded as a freedom incorporated in the given polynomials so long as the stability is concerned. Possible applications of the expressions are suggested to the latest results for stability robustness analysis in parameter space. Further, an extension of the characterizations is made to the matrix case, yielding one-parameter expressions of Schur matrices.
ER -