Stability Margin Estimation for Real Schur Polynomials via Established Stability Tests

Takehiro MORI  Hideki KOKAME  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E81-A   No.6   pp.1301-1304
Publication Date: 1998/06/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Systems and Control
Schur stability,  stability margin,  estimation,  real polynomials,  

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For a real Schur polynomial, estimates are derived for a Schur stability margin in terms of matrix entries or tableau entries in some stability test methods. An average size of the zeros of the polynomial is also estimated. These estimates enable us to obtain more information than stability once a polynomial is tested to be stable via the established Schur stability criterion for real polynomials.