Title :
Schur stability of uncertain matrices
Author :
Zhou, Kemin ; Stoustrup, Jakob ; Niemann, Hans Henrik
Author_Institution :
Dept. of Electr. & Comp. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
The authors consider the stability of uncertain matrices. It is shown that under certain structural assumptions on the uncertain matrices the Schur stability can be assured from computing the numerical radius of the vertex matrices. This result is less conservative than that of using a simultaneous Lyapunov function method. Necessary and sufficient conditions are also obtained for the stability of a class of interval matrices
Keywords :
matrix algebra; stability; Schur stability; interval matrices; numerical radius; uncertain matrices; vertex matrices; Councils; Linear algebra; Lyapunov method; Robust stability; Stability; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371466
