The stability properties of linear descriptor differential systems with additional disturbances

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

The stability properties of linear descriptor differential systems with additional disturbances

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

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

Abstract

In this paper, two very basic concepts of stability for linear descriptor differential systems with consistent initial conditions and additional regular disturbances are being considered. These kinds of systems are appeared in many modelling processes; see for instance the literature of power systems, electrical circuits, growth population phenomena (Leslie model), even some financial and actuarial claims processes etc. Using the well-known complex Weierstrass canonical form of the associated matrix pencil, the state equation is decomposed into two subsystems, whose solutions are being provided. Moreover, the assumption of the consistency of the solution provides us with both stability and asymptotic stability, which in practice are depended on the real part of the finite elementary divisors.

Original language	English
Title of host publication	Proceedings of the IASTED International Conference on Modelling, Identification and Control 2010
Pages	228-233
Number of pages	6
Publication status	Published - 2010
Externally published	Yes
Event	IASTED International Conference on Modelling, Identification and Control 2010 - Innsbruck, Austria Duration: 15 Feb 2010 → 17 Feb 2010 Conference number: 29th https://www.actapress.com/Content_of_Proceeding.aspx?proceedingID=666 (Proceedings)

Conference

Conference	IASTED International Conference on Modelling, Identification and Control 2010
Abbreviated title	MIC 2010
Country/Territory	Austria
City	Innsbruck
Period	15/02/10 → 17/02/10
Internet address	https://www.actapress.com/Content_of_Proceeding.aspx?proceedingID=666 (Proceedings)

Keywords

Asymptotic Stability of the Solution
Linear Descriptor Systems
Regular Disturbance

Cite this

@inproceedings{6a7194d1d2cd47b3bec99031561e0c1a,

title = "The stability properties of linear descriptor differential systems with additional disturbances",

abstract = "In this paper, two very basic concepts of stability for linear descriptor differential systems with consistent initial conditions and additional regular disturbances are being considered. These kinds of systems are appeared in many modelling processes; see for instance the literature of power systems, electrical circuits, growth population phenomena (Leslie model), even some financial and actuarial claims processes etc. Using the well-known complex Weierstrass canonical form of the associated matrix pencil, the state equation is decomposed into two subsystems, whose solutions are being provided. Moreover, the assumption of the consistency of the solution provides us with both stability and asymptotic stability, which in practice are depended on the real part of the finite elementary divisors.",

keywords = "Asymptotic Stability of the Solution, Linear Descriptor Systems, Regular Disturbance",

author = "Karageorgos, {Athanasios D.} and Pantelous, {Athanasios A.} and Kalogeropoulos, {Grigoris I.}",

year = "2010",

language = "English",

pages = "228--233",

booktitle = "Proceedings of the IASTED International Conference on Modelling, Identification and Control 2010",

note = "IASTED International Conference on Modelling, Identification and Control 2010, MIC 2010 ; Conference date: 15-02-2010 Through 17-02-2010",

url = "https://www.actapress.com/Content_of_Proceeding.aspx?proceedingID=666",

}

Karageorgos, AD, Pantelous, AA & Kalogeropoulos, GI 2010, The stability properties of linear descriptor differential systems with additional disturbances. in Proceedings of the IASTED International Conference on Modelling, Identification and Control 2010. pp. 228-233, IASTED International Conference on Modelling, Identification and Control 2010, Innsbruck, Austria, 15/02/10.

The stability properties of linear descriptor differential systems with additional disturbances. / Karageorgos, Athanasios D.; Pantelous, Athanasios A.; Kalogeropoulos, Grigoris I.
Proceedings of the IASTED International Conference on Modelling, Identification and Control 2010. 2010. p. 228-233.

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

TY - GEN

T1 - The stability properties of linear descriptor differential systems with additional disturbances

AU - Karageorgos, Athanasios D.

AU - Pantelous, Athanasios A.

AU - Kalogeropoulos, Grigoris I.

N1 - Conference code: 29th

PY - 2010

Y1 - 2010

N2 - In this paper, two very basic concepts of stability for linear descriptor differential systems with consistent initial conditions and additional regular disturbances are being considered. These kinds of systems are appeared in many modelling processes; see for instance the literature of power systems, electrical circuits, growth population phenomena (Leslie model), even some financial and actuarial claims processes etc. Using the well-known complex Weierstrass canonical form of the associated matrix pencil, the state equation is decomposed into two subsystems, whose solutions are being provided. Moreover, the assumption of the consistency of the solution provides us with both stability and asymptotic stability, which in practice are depended on the real part of the finite elementary divisors.

AB - In this paper, two very basic concepts of stability for linear descriptor differential systems with consistent initial conditions and additional regular disturbances are being considered. These kinds of systems are appeared in many modelling processes; see for instance the literature of power systems, electrical circuits, growth population phenomena (Leslie model), even some financial and actuarial claims processes etc. Using the well-known complex Weierstrass canonical form of the associated matrix pencil, the state equation is decomposed into two subsystems, whose solutions are being provided. Moreover, the assumption of the consistency of the solution provides us with both stability and asymptotic stability, which in practice are depended on the real part of the finite elementary divisors.

KW - Asymptotic Stability of the Solution

KW - Linear Descriptor Systems

KW - Regular Disturbance

UR - http://www.scopus.com/inward/record.url?scp=77954568909&partnerID=8YFLogxK

M3 - Conference Paper

AN - SCOPUS:77954568909

SP - 228

EP - 233

BT - Proceedings of the IASTED International Conference on Modelling, Identification and Control 2010

T2 - IASTED International Conference on Modelling, Identification and Control 2010

Y2 - 15 February 2010 through 17 February 2010

ER -

The stability properties of linear descriptor differential systems with additional disturbances

Abstract

Conference

Keywords

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Cite this