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Single-Parameter Characterizations of Schur Stability Property
Takehiro MORI Hideki KOKAME
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2001/08/01
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Systems and Control
Schur polynomial, Schur matrix, characterizations, robustness, free parameter,
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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.