Stability of a Set of Multivariate Complex Polynomials with Coefficients Varying in Diamond Domain

Document Type

Article

Publication Date

1-1-1992

Abstract

Recently, attention has been focused on the (open left half plane) stability of a family of polynomials having complex coefficients with their real and imaginary parts each varying in a diamond. It has been concluded that the stability of a diamond family of polynomials is equivalent to the stability of the specific 16 edge polynomials of the diamond. In this paper, this result is extended to n-variate case. It is proved that the scattering Hurwitz property of the certain 16n diamond edge polynomials can guarantee the scattering Hurwitz property of the whole diamond family of n-variate complex polynomials. © 1992 IEEE

Identifier

0026902683 (Scopus)

Publication Title

IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications

External Full Text Location

https://doi.org/10.1109/81.168930

ISSN

10577122

First Page

683

Last Page

688

Issue

8

Volume

39

Grant

ECS-8922695

Fund Ref

National Science Foundation

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