DocumentCode
1160450
Title
A simple way of obtaining the reduced Jordan form of a state equation
Author
Davis, Artice M.
Volume
47
Issue
4
fYear
2004
Firstpage
481
Lastpage
489
Abstract
This paper presents a succinct and entirely elementary method for determining a minimal Jordan form of a given state equation. It is constructive and is based upon the idea of grouping terms appropriately in the partial fraction expansion. The method is highly suited to presentation in classes in linear systems and control theory, offering a good pedagogical introduction to the topic of Jordan equivalent matrices, although it is not suggested as an efficient computational tool.
Keywords
linear systems; matrix algebra; reduced order systems; Jordan equivalent matrices; control theory; linear systems; partial fraction expansion; reduced Jordan form; state equation; Control theory; Helium; Laplace equations; Linear systems; Transfer functions; 65; Jordan form; similarity transformations; state equations; state variables;
fLanguage
English
Journal_Title
Education, IEEE Transactions on
Publisher
ieee
ISSN
0018-9359
Type
jour
DOI
10.1109/TE.2004.825919
Filename
1356097
Link To Document