Title :
Necessary conditions for Schur-stability of interval polynomials
Author :
Greiner, Richard
Author_Institution :
Dept. of Math. & Comput. Sci., Univ. of Wurzburg, Germany
fDate :
5/1/2004 12:00:00 AM
Abstract :
New bounds on the coefficient diameter of real Schur-stable interval polynomials are given using techniques from complex analysis. They can be used to unmask interval polynomials at low computational cost as being non-Schur-stable.
Keywords :
numerical stability; polynomials; D-stability; Schur-stability; Schwarz lemma; complex analysis; interval family; interval polynomials; robust stability; Automatic control; Computational complexity; Computer graphics; Equations; Frequency; Polynomials; Shape control; Stability; Steady-state; Three-term control; D-stability; Schur-stability; Schwarz lemma; interval family; polynomials; robust stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.825963
