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 proceedingConference PaperOtherpeer-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 languageEnglish
Title of host publicationProceedings of the IASTED International Conference on Modelling, Identification and Control 2010
Pages228-233
Number of pages6
Publication statusPublished - 2010
Externally publishedYes
EventInternational Conference on Modelling, Identification and Control 2010 - Innsbruck, Austria
Duration: 15 Feb 201017 Feb 2010
Conference number: 29th

Conference

ConferenceInternational Conference on Modelling, Identification and Control 2010
Abbreviated titleMIC 2010
CountryAustria
CityInnsbruck
Period15/02/1017/02/10

Keywords

  • Asymptotic Stability of the Solution
  • Linear Descriptor Systems
  • Regular Disturbance

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