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A Simple Way of Obtaining the Reduced Jordan Form of a State Equation

Bibliographic Data

ID20294288
AuthorsA M Davis (0000-0003-4859-5894, San Jose State University, corresponding author)
Year2004
Volume47
Issue4
Pages481-489
Publication date2004-11-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueIEEE Transactions on Education (JOURNAL)
Journal identifiersISSN: 0018-9359 • E-ISSN: 1557-9638
PublisherInstitute of Electrical and Electronics Engineers (IEEE) (PUBLISHER)
DOI10.1109/te.2004.825919
OpenAlexW2143605097
LanguageEN

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

Algebra over a field · Algorithm · Arithmetic · Calculus (dental) · Constructive · Fraction (chemistry) · Partial fraction decomposition · Presentation (obstetrics) · Process (computing) · Programming language · Pure mathematics · Simple (philosophy) · State (computer science) · Advanced Control Systems Optimization · Applied Mathematics · Computer Science · Control Systems and Identification · Mathematics · Stability and Control of Uncertain Systems · Theoretical Computer Science

Citation velocityhistorical
Highly citedNo

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