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Browse Journals & Magazines > Circuits and Systems I: Funda ...> Volume:39 Issue:8 Help

How near is a stable polynomial to an unstable polynomial?

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1 Author(s)
Kogan, J. ; Dept. of Math., Maryland Univ., Baltimore, MD, USA

Frequency response techniques are applied to the problem of robust Hurwitz stability of a family of polynomials with complex coefficients. The distance between two polynomials is measured by a weighted lp norm, 0>p⩽Ω. Necessary and sufficient conditions for robust stability, as well as formulas for the stability radius and a minimal norm destabilizing polynomial are provided. This work is motivated by and follows the spirit of a result reported by Y.Z. Tsypkin and B.T. Polyak (see IEEE Trans. on Autom. Control, vol.36, p.1464-9, 1991)

Published in:
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:39 ,  Issue: 8 )

Date of Publication: Aug 1992

Page(s):
676 - 680
ISSN :
1057-7122
INSPEC Accession Number:
4357382
Digital Object Identifier :
10.1109/81.168921
Product Type:
Journals & Magazines
Date of Current Version :
06 August 2002
Issue Date :
Aug 1992
Sponsored by :
IEEE Circuits and Systems Society

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