Generalized inverses of the vandermonde matrix: Applications in control theory

Athanasios A. Pantelous; Athanasios D. Karageorgos

doi:10.1007/s12555-012-0153-7

Generalized inverses of the vandermonde matrix: Applications in control theory

Athanasios A. Pantelous, Athanasios D. Karageorgos

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1063-1070
Number of pages	8
Journal	International Journal of Control, Automation and Systems
Volume	11
Issue number	5
DOIs	https://doi.org/10.1007/s12555-012-0153-7
Publication status	Published - Oct 2013
Externally published	Yes

Keywords

Linear systems
LU parameterization
rectangular Vandermonde matrix

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10.1007/s12555-012-0153-7

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abstract = "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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KW - rectangular Vandermonde matrix

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Generalized inverses of the vandermonde matrix: Applications in control theory

Abstract

Keywords

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