On Rational State Space Realizations
1991 (English)Report (Other academic)
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.
LiTH-ISY-I, ISSN 8765-4321 ; 1265
Realization theory, Polynomial systems, Algebraic geometry, Rational varieties
IdentifiersURN: urn:nbn:se:liu:diva-55471OAI: oai:DiVA.org:liu-55471DiVA: diva2:316130