Discretizing LTI descriptor (Regular) differential input systems with consistent initial conditions
type: Item
instance of: scholarly article
title: Discretizing LTI descriptor (Regular) differential input systems with consistent initial conditions
zbMATH Open document ID: 1194.93040
DOI: 10.1155/2010/810605
author: A. D. Karageorgos
author: Athanasios A. Pantelous
author: Grigoris I. Kalogeropoulos
published in: Advances in Decision Sciences
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/231226
review text: Summary: 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 \(\| \underline x(kT) - \underline x_{k}\| \) that is derived 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.
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 5701586
zbMATH Keywords: computationally efficient method
zbMATH Keywords: linear descriptor (regular) differential input system
zbMATH Keywords: discretization
Wikidata QID: Q58650302
MaRDI profile type: Publication
OpenAlex ID: W2083099669
cites work: Q4868578
cites work: Q3852479
cites work: Q3940107
cites work: Singular control systems
cites work: A survey of linear singular systems
cites work: The autonomous linear quadratic control problem. Theory and numerical solution
cites work: Mathematics in economics
cites work: The singularity problem in the dynamic input-output model†
cites work: On the discretization of singular systems
cites work: The Weierstrass Canonical Form of a Regular Matrix Pencil: Numerical Issues and Computational Techniques
cites work: Q3254327
cites work: Q3041004
cites work: A remark on the discretization of singular systems
cites work: Q3666140
cites work: On Kalman's controllability and observability criteria for singular systems
cites work: Singular Dynamic Leontief Systems
DBLP publication ID: journals/jamds/KarageorgosPK10
description: scientific article; zbMATH DE number 5701586