A characterization of convex cones of matrices with constant regular inertia

Nir Cohen; Izchak Lewkowicz

doi:10.1016/S0024-3795(00)00126-9

A characterization of convex cones of matrices with constant regular inertia

Nir Cohen, Izchak Lewkowicz

School of Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Let A be a convex cone of n×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.

Original language	English
Pages (from-to)	23-33
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	318
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(00)00126-9
State	Published - 15 Oct 2000

Keywords

Constant inertia
Convex and polygonal cones
Convex invertible cones
Stability

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/S0024-3795(00)00126-9

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title = "A characterization of convex cones of matrices with constant regular inertia",

abstract = "Let A be a convex cone of n×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.",

keywords = "Constant inertia, Convex and polygonal cones, Convex invertible cones, Stability",

author = "Nir Cohen and Izchak Lewkowicz",

note = "Funding Information: Corresponding author. E-mail addresses: [email protected] (N. Cohen), [email protected] (I. Lewkowicz). 1 The research of this author is supported by the CNPq grant 300019/96-3.",

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AU - Cohen, Nir

AU - Lewkowicz, Izchak

N1 - Funding Information: Corresponding author. E-mail addresses: [email protected] (N. Cohen), [email protected] (I. Lewkowicz). 1 The research of this author is supported by the CNPq grant 300019/96-3.

PY - 2000/10/15

Y1 - 2000/10/15

N2 - Let A be a convex cone of n×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.

AB - Let A be a convex cone of n×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.

KW - Constant inertia

KW - Convex and polygonal cones

KW - Convex invertible cones

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=0034358204&partnerID=8YFLogxK

U2 - 10.1016/S0024-3795(00)00126-9

DO - 10.1016/S0024-3795(00)00126-9

M3 - Article

AN - SCOPUS:0034358204

SN - 0024-3795

VL - 318

SP - 23

EP - 33

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

A characterization of convex cones of matrices with constant regular inertia

Abstract

Keywords

ASJC Scopus subject areas

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