Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations

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Title: Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations
Authors: Dassios, Ioannis K.
Permanent link: http://hdl.handle.net/10197/10650
Date: 30-Nov-2017
Online since: 2019-05-27T07:26:12Z
Abstract: In this article, we study the geometric relation between two different types of initial conditions (IC) of a class of singular linear systems of fractional nabla difference equations whose coefficients are constant matrices. For these kinds of systems, we analyze how inconsistent and consistent IC are related to the column vector space of the finite and the infinite eigenvalues of the pencil of the system and analyze the geometric connection between these two different types of IC. Numerical examples are given to justify the results.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: Wiley Online Library
Journal: Mathematical Methods in the Applied Sciences
Volume: 40
Issue: 17
Start page: 6085
End page: 6095
Copyright (published version): 2015 John Wiley & Sons, Ltd.
Keywords: SingularFractionalDiscrete time systemNablaInitial conditions
DOI: 10.1002/mma.3771
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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