P0-property and linear inequalities in positive systems analysis

A matrix M ϵ R n×n is a P 0 -matrix if every principal minor of M is nonnegative. We use this concept in a generalized form, called row (column)-P 0 -property, which refers to a finite set of matrices M = {M 1 ,..., M N } ⊂ R n×n . In the current work, the set M collects matrices of the form M θ = A...

Full description

Saved in:
Bibliographic Details
Main Authors: Pastravanu, O., Matcovschi, M.
Format: Conference Proceeding
Language:English
Subjects:
Abstracts
Eigenvalues and eigenfunctions
Equations
Linear matrix inequalities
Lyapunov methods
Switches
Vectors
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A matrix M ϵ R n×n is a P 0 -matrix if every principal minor of M is nonnegative. We use this concept in a generalized form, called row (column)-P 0 -property, which refers to a finite set of matrices M = {M 1 ,..., M N } ⊂ R n×n . In the current work, the set M collects matrices of the form M θ = A θ - rI, θ = 1,..., N, with A θ ϵ R n×n essentially nonnegative and Hurwitz stable, and r