Weakly positive continuous-time linear systems
type: Item
instance of: scholarly article
title: Weakly positive continuous-time linear systems
zbMATH Open document ID: 0917.93048
author: Tadeusz Kaczorek
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1998-11-01T00:00:00Z
review text: Singular continuous-time linear systems (descriptor systems) are considered in this paper. Such systems are called ``weakly positive'' if additional conditions are satisfied: the system matrix must be a Metzler matrix, the elements of the other matrices are nonnegative. The reduction of weakly positive systems into positive standard systems is investigated. Conditions for the existence of a suitable equivalence transformation are derived. The theory presented in the paper is applied to linear electrical circuits. It is shown that linear electrical circuits consisting of resistances, inductances and source voltages can be reduced to positive standard systems.
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 1216544
zbMATH Keywords: singular continuous-time linear systems
zbMATH Keywords: descriptor systems
zbMATH Keywords: weakly positive
zbMATH Keywords: positive systems
zbMATH Keywords: Metzler matrix
zbMATH Keywords: transformation
zbMATH Keywords: linear electrical circuits
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1216544