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Simplification of a recent 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: 1997
Tongue: English
Weight: 326 KB
Volume: 334
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(96)00064-6

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✦ Synopsis

In apreviouspaper (Yen and Zhou, J. Franklin Inst. 1996), Schur stability ofa family of polynomials with transformed coefficients varying in a diamond was studied. A necessary ad suj3cient condition was given for the stability of the entire family ij" a selected set of 16 (for even n) or 32 (for odd n) edge polynomials is stable. In this note we show that the number of edge polynomials to be checkedfor odd n can be reduced to 16.

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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 co