Determining the order of linear dynamic systems
type: Item
instance of: scholarly article
title: Determining the order of linear dynamic systems
zbMATH Open document ID: 0754.93035
author: N. N. Karabutov
published in: Automation and Remote Control
publication date: 1992-06-27T00:00:00Z
review text: Consider the dynamic system \(\dot X=AX+Bu\), \(y=C^ T X\) where \(A\in R^{m\times m}\) is a Frobenius matrix, \(B\in R^ m\) and \(C\in R^ m\). Here \(X\in R^ m\) is the state vector and \(u\) and \(y\) are the input and output of the system. The author proves that the order of \(A\) satisfies the inequality \(c_ 0 m^{-1}\leq(\| A\|/c)^ m-1\) where \(c_ 0=(\alpha\| A\|-c)/c\), \(0<\alpha\leq 1\), \(c>0\). An iterative algorithm for the solution of the inequality is presented. The properties of the algorithm are also studied.
reviewed by: Jingbo Wu
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B30
zbMATH DE Number: 30245
zbMATH Keywords: iterative algorithm
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 30245