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

✍ Scribed by A. Katbab; E.I. Jury

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 603 KB
Volume: 327
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(90)90077-v

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✦ Synopsis

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 perturbed-coeficient polynomials, and a sujficient condition for the original,family. The case of polynomials with real coc$Scients falls out as a special case, and the approach given also applies to a,far wider class of regions in coeficient space than those represented either by boxed domain or diamond. An illustrative example is given.

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