TY - GEN
T1 - On μ and stability of uncertain polynomials
AU - Chen, Jie
AU - Fan, Michael K H
AU - Nett, Carl N.
PY - 1992
Y1 - 1992
N2 - The purpose of this paper is to establish a link between the structured singular value and the stability analysis of uncertain polynomials. We first give an analytical expression for a generalization of the structured singular value under a certain circumstance and next show how stability problems of uncertain polynomials may be studied in this framework. Our results include a number of small gain type conditions which, when specialized to several problems of interest, lead to some previously obtained results in the spirit of Kharitonov's theorem.
AB - The purpose of this paper is to establish a link between the structured singular value and the stability analysis of uncertain polynomials. We first give an analytical expression for a generalization of the structured singular value under a certain circumstance and next show how stability problems of uncertain polynomials may be studied in this framework. Our results include a number of small gain type conditions which, when specialized to several problems of interest, lead to some previously obtained results in the spirit of Kharitonov's theorem.
UR - http://www.scopus.com/inward/record.url?scp=0026960553&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0026960553&origin=recordpage
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 780302109
VL - 3
SP - 2200
EP - 2206
BT - Proceedings of the American Control Conference
PB - Publ by American Automatic Control Council
T2 - Proceedings of the 1992 American Control Conference
Y2 - 24 June 1992 through 26 June 1992
ER -