On the computation of the response of perturbed discrete time descriptor systems

E. Antoniou, A. Pantelous, P. Tzekis

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Abstract

Descriptor systems provide the natural framework for the study of a wide variety of physical, electrical, mechanical, economical and social systems. In this paper, the response of a Linear Time Invariant (LTI), descriptor system in discrete-time over a finite time interval is examined, whose coefficient matrix on the right hand side of the descriptor equation has been perturbed by a constant matrix. The response of the perturbed system is explicitly computed using a modified version of the well known Weierstrass canonical form and a simplified approximation formula is derived. A numerical example illustrates the findings.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014 Proceedings
EditorsEdward Boje, Xiaohua Xia
Place of PublicationDoetinchem Netherlands
PublisherElsevier - International Federation of Automatic Control (IFAC)
Pages9522-9527
Number of pages6
ISBN (Electronic)9783902823625
DOIs
Publication statusPublished - 2014
Externally publishedYes
EventInternational Federation of Automatic Control World Congress 2014 - Cape Town International Convention Centre, Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014
Conference number: 19th
http://www.ifac2014.org/

Publication series

NameIFAC-PapersOnLine
PublisherElsevier - International Federation of Automatic Control (IFAC)
Number3
Volume47
ISSN (Print)2405-8963

Conference

ConferenceInternational Federation of Automatic Control World Congress 2014
Abbreviated titleIFAC 2014
CountrySouth Africa
CityCape Town
Period24/08/1429/08/14
Internet address

Keywords

  • Descriptor systems
  • Perturbation
  • Response approximation

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