A characterization of convex cones of matrices with constant regular inertia

被引:6
作者
Cohen, N
Lewkowicz, I
机构
[1] Ben Gurion Univ Negev, Dept Elect & Comp Engn, IL-84105 Beer Sheva, Israel
[2] Univ Estadual Campinas, Dept Math Appl, BR-13081970 Campinas, SP, Brazil
关键词
convex and polygonal cones; constant inertia; stability; convex invertible cones;
D O I
10.1016/S0024-3795(00)00126-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be a convex cone of n x n matrices. In this paper, we present a necessary and sufficient condition for A to contain matrices with a constant regular inertia, based on a version of the Lyapunov equation. The condition involves only the normalized extreme points of A. This extends a previous paper by the authors, where a robust stability criterion for A was obtained. (C) 2000 Published by Elsevier Science Inc. All rights reserved.
引用
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页码:23 / 33
页数:11
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