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On Rational State Space Realizations
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)Report (Other academic)
Abstract [en]

It is investigated when a polynomial input-output differential equation can be realized in rational, explicit state space form. In the case where there are no inputs the problem is seen to be equivalent to a famous problem in algebraic geometry, which is solved only in various special cases. For systems with inputs the problem is more complicated, as is the discrete time case.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 1265
Keyword [en]
Realization theory, Polynomial systems, Algebraic geometry, Rational varieties
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55471OAI: oai:DiVA.org:liu-55471DiVA: diva2:316130
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2013-07-29

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Automatic ControlThe Institute of Technology
Control Engineering

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CiteExportLink to record
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