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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 318卷 / 1-3期

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

页码：23 / 33

页数：11

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