Solving linear descriptor (Regular) discrete-time delay system with (non)-consistent initial conditions

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

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2 Citations (Scopus)

Abstract

In this paper, a more general class of linear delay discrete-time systems known in the literature as linear regular descriptor, discrete-time systems with delays and constant square matrix coefficients is being considered. These kinds of systems are appeared in many modeling processes; see for instance digital filters, growth population phenomena, financial and actuarial claims procedures etc. Using the complex Weierstrass canonical form of the associated matrix pencil the state equation is decomposed into two subsystems whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.

Original languageEnglish
Title of host publicationProceedings of the 11th IASTED International Conference on Control and Applications, CA 2009
Pages1-8
Number of pages8
Publication statusPublished - 2009
Externally publishedYes
Event11th IASTED International Conference on Control and Applications, CA 2009 - Cambridge, United Kingdom
Duration: 13 Jul 200915 Jul 2009

Conference

Conference11th IASTED International Conference on Control and Applications, CA 2009
CountryUnited Kingdom
CityCambridge
Period13/07/0915/07/09

Keywords

  • Consistent and non-consistent initial conditions
  • Linear descriptor (Regular) delay discrete-time systems
  • Z-trans-formation

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