State-Space Parametrizations of Multivariable Linear Systems using Tridiagonal Matrix Forms
1996 (English)In: Proceedings of the 35th IEEE Conference on Decision and Control, 1996, 3654-3659 vol.4 p.Conference paper (Refereed)
Tridiagonal parametrizations of linear state-space models are proposed for multivariable system identification. The parametrizations are surjective, i.e. all systems up to a given order can be described. The parametrization is based on the fact that any real square matrix is similar to a real tridiagonal form as well as a compact tridiagonal form. These parametrizations has significantly fewer parameters compared to a full parametrization of the state-space matrices.
Place, publisher, year, edition, pages
1996. 3654-3659 vol.4 p.
Matrix algebra, Multivariable systems, Parameter estimation, State-space methods
IdentifiersURN: urn:nbn:se:liu:diva-93770DOI: 10.1109/CDC.1996.577188ISBN: 0-7803-3590-2OAI: oai:DiVA.org:liu-93770DiVA: diva2:628862
35th IEEE Conference on Decision and Control, Kobe, Japan, December, 1996