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

Takehiro MORI, Hideki KOKAME

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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.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.11 pp.2036-2038
Publication Date
1993/11/25
Publicized
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DOI
Type of Manuscript
LETTER
Category
Control and Computing

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