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

被引：8
|
作者：
Dassios, I. K. [1 ]
机构：
[1] Univ Limerick, Dept Math & Stat, MACSI, Limerick, Ireland
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 17期
基金：
爱尔兰科学基金会;
关键词：
singular; fractional; discrete time system; nabla; initial conditions;
D O I：
10.1002/mma.3771
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. Copyright (C) 2015 John Wiley & Sons, Ltd.
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页码：6085 / 6095
页数：11
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