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
fDate :
10/1/2002 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.803244
