The dynamic response of homogeneous LTI descriptor differential systems under perturbations of the right matrix coefficients

Athanasios A. Pantelous; Athanasios D. Karageorgos; Grigoris I. Kalogeropoulos

doi:10.1093/imamci/dnr005

The dynamic response of homogeneous LTI descriptor differential systems under perturbations of the right matrix coefficients

Athanasios A. Pantelous
, Athanasios D. Karageorgos
, Grigoris I. Kalogeropoulos

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

Abstract

This paper is concerned with the dynamic response of a general class of linear time invariant differential systems, the right parameter of which undergoes step perturbations. We solve both systems using the complex Weierstrass canonical form (powerful tool of matrix pencil theory). After that, we calculate and compare the relationship between the two solutions. This comparison is of considerable importance in numerical analysis since it has a direct bearing upon the accuracy of any particular method used to construct the solution of the base system. A numerical example is also provided.

Original language	English
Pages (from-to)	251-266
Number of pages	16
Journal	IMA Journal of Mathematical Control and Information
Volume	28
Issue number	3
DOIs	https://doi.org/10.1093/imamci/dnr005
Publication status	Published - Sept 2011
Externally published	Yes

Keywords

complex Weierstrass canonical form
linear descriptor systems
perturbation theory

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10.1093/imamci/dnr005

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abstract = "This paper is concerned with the dynamic response of a general class of linear time invariant differential systems, the right parameter of which undergoes step perturbations. We solve both systems using the complex Weierstrass canonical form (powerful tool of matrix pencil theory). After that, we calculate and compare the relationship between the two solutions. This comparison is of considerable importance in numerical analysis since it has a direct bearing upon the accuracy of any particular method used to construct the solution of the base system. A numerical example is also provided.",

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The dynamic response of homogeneous LTI descriptor differential systems under perturbations of the right matrix coefficients. / Pantelous, Athanasios A.; Karageorgos, Athanasios D.; Kalogeropoulos, Grigoris I.
In: IMA Journal of Mathematical Control and Information, Vol. 28, No. 3, 09.2011, p. 251-266.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - The dynamic response of homogeneous LTI descriptor differential systems under perturbations of the right matrix coefficients

AU - Pantelous, Athanasios A.

AU - Karageorgos, Athanasios D.

AU - Kalogeropoulos, Grigoris I.

PY - 2011/9

Y1 - 2011/9

N2 - This paper is concerned with the dynamic response of a general class of linear time invariant differential systems, the right parameter of which undergoes step perturbations. We solve both systems using the complex Weierstrass canonical form (powerful tool of matrix pencil theory). After that, we calculate and compare the relationship between the two solutions. This comparison is of considerable importance in numerical analysis since it has a direct bearing upon the accuracy of any particular method used to construct the solution of the base system. A numerical example is also provided.

AB - This paper is concerned with the dynamic response of a general class of linear time invariant differential systems, the right parameter of which undergoes step perturbations. We solve both systems using the complex Weierstrass canonical form (powerful tool of matrix pencil theory). After that, we calculate and compare the relationship between the two solutions. This comparison is of considerable importance in numerical analysis since it has a direct bearing upon the accuracy of any particular method used to construct the solution of the base system. A numerical example is also provided.

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KW - linear descriptor systems

KW - perturbation theory

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DO - 10.1093/imamci/dnr005

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JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 3

ER -

The dynamic response of homogeneous LTI descriptor differential systems under perturbations of the right matrix coefficients

Abstract

Keywords

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