Convexity properties of polynomials with assigned root location

Author

Tesi, Alberto ; Vicino, Antonio ; Zappa, Giovanni

Author_Institution

Dept. of Syst. & Inf., Florence Univ., Italy

Volume

39

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

668

Lastpage

672

Abstract

This paper presents some geometrical results on the domain of (generalized) stability for a family of nth order polynomials. Regions of root location such that the convex hull of the corresponding domain of stability in the coefficient space is a polyhedron are investigated, and specific regions for which the convex hull is an n+1 vertex polyhedron are derived. The discrete-time stability domain falls in the latter class of regions. Implications of the results for the design of filters solving the robust strict positive realness for families of rational transfer functions with uncertainty in the numerator are also developed

Keywords

discrete time systems; filtering and prediction theory; polynomials; root loci; stability criteria; assigned root location; convex hull; convexity properties; discrete-time stability domain; filters; generalized stability; geometrical results; numerator uncertainty; polynomials; rational transfer functions; robust strict positive realness; Automatic control; Control systems; Feedback; Frequency domain analysis; Nonlinear control systems; Polynomials; Robust control; Robust stability; Time varying systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.280785

Filename

280785