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.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
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
Copy
@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},}
Copy
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 -