Canonical forms for positive discrete-time linear control systems
type: Item
instance of: scholarly article
title: Canonical forms for positive discrete-time linear control systems
zbMATH Open document ID: 0968.93016
DOI: 10.1016/S0024-3795(00)00044-6
author: R. Bru
author: Sergio Romero
author: E. Sánchez
published in: Linear Algebra and its Applications
publication date: 2001-09-16T00:00:00Z
review text: Linear, finite-dimensional, discrete-time control systems with constant positive coefficients are considered. It is generally assumed, that the initial conditions and control functions are also positive. Using algebraic methods and graph theory, reachability, controllability and essential reachability are studied. Next, using these concepts, certain canonical forms are proposed and discussed. The relations between different canonical forms are explained. Several special cases are considered. Moreover, simple illustrative numerical examples are also presented. Many remarks, comments and the relations to results existing in the literature are pointed out. The results given in the paper extends controllability and reachability considerations given in [\textit{M. E. Valcher}, ``Controllability and reachability criteria for discrete time positive systems'', Int. J. Control 65, No. 3, 511-536 (1996; Zbl 0873.93009)].
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 1453252
zbMATH Keywords: linear systems
zbMATH Keywords: positive systems
zbMATH Keywords: discrete-time control systems
zbMATH Keywords: algebraic methods
zbMATH Keywords: graph theory
zbMATH Keywords: reachability
zbMATH Keywords: controllability
zbMATH Keywords: canonical forms
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1453252