A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem
type: Item
instance of: scholarly article
title: A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem
zbMATH Open document ID: 0967.93071
DOI: 10.1016/S0024-3795(00)00194-4
author: R. Smith
published in: Linear Algebra and its Applications
publication date: 2001-01-25T00:00:00Z
review text: Based on a certain condensed form for the system matrices obtained under orthogonal transformations, the authors show a constructive way that the solvability of the simultaneous disturbance decoupling and row-by-row decoupling (SDD-RRD) problem is equivalent with an integer equality and the nonsingularity of a lower-dimensional constant matrix. The result provides a numerical method for verifying the solvability conditions and constructing the feedback matrices using LAPACK or Matlab. An illustrative numerical example is also given. Finally, a previous result on row-by-row decoupling is generalized in order to obtain an explicit solution for the SDD-RRD problem.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93B17
zbMATH DE Number: 1556771
zbMATH Keywords: orthogonal transformations
zbMATH Keywords: simultaneous disturbance decoupling and row-by-row decoupling
zbMATH Keywords: numerical method
zbMATH Keywords: explicit solution
describes a project that uses: LAPACK
describes a project that uses: Matlab
MaRDI profile type: Publication
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Wikidata QID: Q127024634
description: scientific article; zbMATH DE number 1556771