In this thesis we have studied several aspects of the minimal realization problem
for descriptor systems. These aspects include purely theoretical questions
such as that about the order of a minimal realization of a general improper
rational matrix and problems of a numerical nature, like rounding error analysis
of the computing a minimal realization from a nonminimal one. We have
also treated the minimal partial realization problem for general descriptor
systems with application to model reduction and to generalised eigenvalue
problems.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:swb:ch1-200600965 |
| Date | 15 June 2006 |
| Creators | Sokolov, Viatcheslav |
| Contributors | TU Chemnitz, Fakultät für Mathematik, Pror. Dr. Peter Benner, Prof. Dr. Peter Benner, Prof. Dr. Volker Mehrmann, Prof. Dr. Athanasios C. Antoulas |
| Publisher | Universitätsbibliothek Chemnitz |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:doctoralThesis |
| Format | application/pdf, text/plain, application/zip |
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