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Counterexample and correction to a result on robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond

✍ Scribed by K.K. Yen; S.F. Zhou

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 511 KB
Volume: 333
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(96)00014-2

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✦ Synopsis

In Ref. (1)

, Schur stability of a family of polynomials with transformed coefficients varying in a diamond has been studied. A necessary and sufficient condition was given for the stability of the entire family if a selected set of eight edge polynomials was stable. In this paper, we show via a counterexample that this result is not correct. It turns out that 16 (for n is even) or 32 (for n is odd) edges should be selected.

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Robust Schur stability of a complex-coef

Robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond

✍ A. Katbab; E.I. Jury 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 603 KB

Strict Schur property of' a complex-co@icient ,family of polynomials uxith the transformed coe@cients varying in a diamond is considered. It is proved that the checking of eight edge polynomials provides necessary and s@cient conditions for the strict Schur property of the transformed .family of per