Title :
Robust Hurwitz and Schur stability test for interval matrices
Author :
Xiao, Yang ; Unbehauen, Rolf
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
Abstract :
By relying on a 2D face test, we obtain a necessary and sufficient condition for the robust Hurwitz and Schur stability of interval matrices. We reveal that it is impossible that there are some isolated unstable points in the parameter space of the matrix family, so the stability of exposed 2D faces of an interval matrix guarantees stability of the matrix family. Examples are given to demonstrate the applicability of our robust stability test of interval matrices
Keywords :
eigenvalues and eigenfunctions; matrix algebra; stability; uncertain systems; 2D face test; Hurwitz Schur stability; eigenvalues; interval matrix; necessary condition; polytope; stability test; sufficient condition; uncertain systems; unstable points; Eigenvalues and eigenfunctions; Information science; Polynomials; Robust stability; Sufficient conditions; System testing; Two dimensional displays; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2001.914559
