Single-Shot Evaluation of Stability Hypercube and Hyperball in Polynomial Coefficient Space

Takehiro MORI  Hideki KOKAME  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E76-A   No.11   pp.2036-2038
Publication Date: 1993/11/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Control and Computing
Keyword: 
stabiliby robustness measure,  coefficient space,  lower bound,  

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Summary: 
A quick evaluation method is proposed to obtain stability robustness measures in polynomial coefficient space based on knowledge of coefficients of a Hurwitz stable nominal polynomial. Two norms are employed: l- and l2-norm, which correspond to the stability hypercube and hyperball in the space, respectively. Just inverting Hurwitz matrix for the nominal polynomial immediately yields closed-form estimates for the size of the hypercube and hyperball.