Convex sets of Schur stable and stable matrices

被引:9
作者
Elsner, L
Szulc, T
机构
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[2] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-60679 Poznan, Poland
关键词
convex sets of matrices; Schur stability; stability; bialternate product;
D O I
10.1080/03081080008818656
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We derive characterizations for the Schur stability and the stability of all convex combinations of k, k greater than or equal to2, given real square matrices. Moreover, we characterize these properties for the set r(A, B) (c(A,B), resp.) of square matrices whose rows (columns, resp.) are independent convex combinations of the rows (columns, resp.) of two real matrices A and B. Our results can be viewed as contributions to the problem of robustness of matrix properties. This paper continues our paper [4].
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页码:1 / 19
页数:19
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