Title :
Schur stability of interval bivariate polynomials
Author_Institution :
Inst. of Inf. Sci., Northern Jiotong Univ., Beijing, China
Abstract :
The necessary and sufficient conditions of Schur stability of interval bivariate polynomials have been established. Based on a simplification, the 2D analysis for stability of interval bivariate polynomials is turned into that of interval 1D polynomials with complex variable coefficients. We reveal that the uncertain coefficients of interval bivariate polynomials are of linear affine property, then we show that the stability of an interval bivariate polynomial can be guaranteed by that of its finite edge polynomials. An algorithm about the stability test of edge polynomials is provided
Keywords :
numerical stability; polynomials; 1D polynomials; 2D analysis; Schur stability; complex variable coefficients; finite edge polynomials; interval bivariate polynomials; linear affine property; uncertain coefficients; Frequency domain analysis; Information science; Polynomials; Robust stability; Stability analysis; Stability criteria; Sufficient conditions; Testing;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.857148
