Generalized Inverses of the Vandermonde Matrix: Applications in Control Theory

被引：3
|
作者：
Pantelous, Athanasios A. [1 ,2 ]
Karageorgos, Athanasios D. [3 ]
机构：
[1] Univ Liverpool, IFAM, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
[2] Univ Liverpool, Inst Risk & Uncertainty, Liverpool L69 3BX, Merseyside, England
[3] Univ Athens, Dept Math, Athens, Greece
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2013年 / 11卷 / 05期
关键词：
Linear systems; LU parameterization; rectangular Vandermonde matrix; FACTORIZATION; SYSTEMS;
D O I：
10.1007/s12555-012-0153-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the literature of control and system theory, several explicit formulae appeared for solving square Vandermonde systems and computing the inverse of it. In the present paper, we will discuss and present analytically the generalized inverses of the rectangular and square Vandermonde matrix. These matrices have been appeared recently in an interesting control and system theory problem, where the change of the initial state of a linear descriptor system in (almost) zero time is required.
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页码：1063 / 1070
页数：8
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