Advances in Decision Sciences
Volume 2010 (2010), Article ID 810605, 19 pages
doi:10.1155/2010/810605
Discretizing LTI descriptor (Regular) differential input systems with consistent initial conditions
Athanasios D. Karageorgos1
, Athanasios A. Pantelous2
and Grigoris I. Kalogeropoulos1
1Department of Mathematics, University of Athens, 15784 Athens, Greece
2Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
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.