Robust hurwitzness of complex polynomials in convex and compact domain

Document Type

Conference Proceeding

Publication Date

1-1-1992

Abstract

A necessary and sufficient condition for a family of complex polynomials with coefficients varying in a convex and compact domain to be strictly Hurwitz is given in this paper. The result can imply several known results on the robust Hurwitzness of complex polynomials. In particular, it is shown that our result covers the "edge theorem" for polytopes of polynomials [1] in the case of strict Hurwitzness and requires weaker conditions than the edge theorem. It is also shown that the results on the robust strict Hurwitzness of diamond polynomials [5, 3] can be implied by our result. Finally, applying the result, we derive in this paper a new result on the robust positivity of a complex diamond rational function which is more advanced than that obtained in [8].

Identifier

85067368725 (Scopus)

ISBN

[0780305930]

Publication Title

Proceedings IEEE International Symposium on Circuits and Systems

External Full Text Location

https://doi.org/10.1109/ISCAS.1992.230156

ISSN

02714310

First Page

697

Last Page

700

Volume

2

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