A semi-canonical form for a class of right-invertible linear systems
type: Item
instance of: scholarly article
title: A semi-canonical form for a class of right-invertible linear systems
zbMATH Open document ID: 0873.93017
DOI: 10.1016/S0005-1098(96)00164-1
author: O. Diekmann
published in: Automatica
publication date: 1997-05-12T00:00:00Z
review text: The system is \[ \dot x= Ax+Bu,\quad y=Cx, \] where \(x\), \(u\), \(y\) are multivariable. A. S. Morse in 1973 presented a list of some integers and polynomials which are the complete invariants of a triple \((C,A,B)\) under changes of coordinates of the state, input and output and moreover under state feedback and output injection. The main result of the authors are concerned when \((C,A,B)\) is right-invertible. They presented a new semi-canonical form for such a system and shown under which conditions the form is canonical.
reviewed by: A.Vaněček
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93C35
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1008769
zbMATH Keywords: linear systems
zbMATH Keywords: invariants
zbMATH Keywords: state feedback
zbMATH Keywords: right-invertible
zbMATH Keywords: semi-canonical form
MaRDI profile type: Publication
cites work: Reduced form of the interactor matrix
cites work: Structural Invariants of Linear Multivariable Systems
cites work: Invariants and Canonical Forms under Dynamic Compensation
cites work: Q4074739
full work available at URL: s0005-1098(96)00164-1
OpenAlex ID: W2000615638
description: scientific article; zbMATH DE number 1008769