DocumentCode
835820
Title
Phase conditions for Schur polynomials
Author
Keel, L.H. ; Bhattacharyya, S.P.
Author_Institution
Center of Excellence in Inf. Syst., Tennessee State Univ., Nashville, TN, USA
Volume
49
Issue
10
fYear
2002
fDate
10/1/2002 12:00:00 AM
Firstpage
1509
Lastpage
1513
Abstract
The rate of change of phase of a real or complex Schur polynomial, evaluated along the unit circle traversed counterclockwise, is strictly positive. For polynomials with real coefficients, this bound can be tightened. These and some other fundamental bounds on the rate of change of phase are derived here, using the Tchebyshev representation of the image of a real polynomial evaluated on the unit circle.
Keywords
Chebyshev approximation; polynomials; stability; Schur polynomial; Tchebyshev representation; discrete-time control systems; phase conditions; phase monotonicity; rate of change of phase; real coefficients; robust stability; stabilization; Circuits; Equations; Information systems; Polynomials; Robust stability; Sufficient conditions; Testing;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/TCSI.2002.803244
Filename
1039505
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