Geometric relation between two different types of initial conditions of singular systems of fractional nabla difference equations
Files in This Item:
|AS2928678651043841446836548409_content_1.pdf||204.34 kB||Adobe PDF||Download|
|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:||Singular; Fractional; Discrete time system; Nabla; Initial conditions||DOI:||10.1002/mma.3771||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Electrical and Electronic Engineering Research Collection|
Show full item record
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.