Advances in Decision Sciences
Volume 2010 (2010), Article ID 810605, 19 pages
doi:10.1155/2010/810605
Research Article

Discretizing LTI Descriptor (Regular) Differential Input Systems with Consistent Initial Conditions

Athanasios D. Karageorgos,1 Athanasios A. Pantelous,2 and Grigoris I. Kalogeropoulos1

1Department of Mathematics, University of Athens, 15784 Athens, Greece
2Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK

Received 4 April 2009; Accepted 18 January 2010

Academic Editor: Graeme Wake

Copyright © 2010 Athanasios D. Karageorgos et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A technique for discretizing efficiently the solution of a Linear descriptor (regular) differential input system with consistent initial conditions, and Time-Invariant coefficients (LTI) is introduced and fully discussed. Additionally, an upper bound for the error ‖x¯(kT)−x¯k‖ that derives from the procedure of discretization is also provided. Practically speaking, we are interested in such kind of systems, since they are inherent in many physical, economical and engineering phenomena.