A note on two methods related to stability robustness of polynomials in a sector (relative stability)

Author

Katbab, A. ; Jury, E.I.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA

Volume

38

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

380

Lastpage

383

Abstract

Two recent results on the stability robustness of uncertain systems (polynomials) are addressed. One gives a vertex test for left-sector (relative) stability, where the number of the required vertices is four for a real case and eight for a complex case. The other gives an elegant frequency-domain graphical (hodograph) approach for left-plane stability, where the plotting of only one (two for a complex case) hodograph plus simple boundary conditions is both necessary and sufficient to obtain the maximum coefficient perturbation bounds. It is shown that a similar graphical test exists for the left-sector stability case

Keywords

frequency-domain analysis; graph theory; polynomials; stability criteria; boundary conditions; frequency domain graphical test; hodograph; maximum coefficient perturbation bounds; polynomials; robustness; stability; uncertain systems; vertex test; Calculus; Markov processes; Neural networks; Noise generators; Noise robustness; Polynomials; Robust stability; Signal processing; Stochastic resonance; Testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.250499

Filename

250499