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

E. Antoniou; A. Pantelous; P. Tzekis

doi:10.3182/20140824-6-ZA-1003.02027

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

E. Antoniou, A. Pantelous, P. Tzekis

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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 language	English
Title of host publication	19th IFAC World Congress IFAC 2014 Proceedings
Editors	Edward Boje, Xiaohua Xia
Place of Publication	Doetinchem Netherlands
Publisher	Elsevier - International Federation of Automatic Control (IFAC)
Pages	9522-9527
Number of pages	6
ISBN (Electronic)	9783902823625
DOIs	https://doi.org/10.3182/20140824-6-ZA-1003.02027
Publication status	Published - 2014
Externally published	Yes
Event	International Federation of Automatic Control World Congress 2014 - Cape Town International Convention Centre, Cape Town, South Africa Duration: 24 Aug 2014 → 29 Aug 2014 Conference number: 19th http://www.ifac2014.org/

Publication series

Name	IFAC-PapersOnLine
Publisher	Elsevier - International Federation of Automatic Control (IFAC)
Number	3
Volume	47
ISSN (Print)	2405-8963

Conference

Conference	International Federation of Automatic Control World Congress 2014
Abbreviated title	IFAC 2014
Country/Territory	South Africa
City	Cape Town
Period	24/08/14 → 29/08/14
Internet address	http://www.ifac2014.org/

Keywords

Descriptor systems
Perturbation
Response approximation

Access to Document

10.3182/20140824-6-ZA-1003.02027

Cite this

Antoniou, E., Pantelous, A., & Tzekis, P. (2014). On the computation of the response of perturbed discrete time descriptor systems. In E. Boje, & X. Xia (Eds.), 19th IFAC World Congress IFAC 2014 Proceedings (pp. 9522-9527). (IFAC-PapersOnLine; Vol. 47, No. 3). Elsevier - International Federation of Automatic Control (IFAC). https://doi.org/10.3182/20140824-6-ZA-1003.02027

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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.",

keywords = "Descriptor systems, Perturbation, Response approximation",

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booktitle = "19th IFAC World Congress IFAC 2014 Proceedings",

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Antoniou, E, Pantelous, A & Tzekis, P 2014, On the computation of the response of perturbed discrete time descriptor systems. in E Boje & X Xia (eds), 19th IFAC World Congress IFAC 2014 Proceedings. IFAC-PapersOnLine, no. 3, vol. 47, Elsevier - International Federation of Automatic Control (IFAC), Doetinchem Netherlands, pp. 9522-9527, International Federation of Automatic Control World Congress 2014, Cape Town, South Africa, 24/08/14. https://doi.org/10.3182/20140824-6-ZA-1003.02027

On the computation of the response of perturbed discrete time descriptor systems. / Antoniou, E.; Pantelous, A.; Tzekis, P.
19th IFAC World Congress IFAC 2014 Proceedings. ed. / Edward Boje; Xiaohua Xia. Doetinchem Netherlands: Elsevier - International Federation of Automatic Control (IFAC), 2014. p. 9522-9527 (IFAC-PapersOnLine; Vol. 47, No. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AB - 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.

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

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