Contributions to the Minimal Realization Problem for Descriptor Systems

• Main Author: Sokolov, Viatcheslav
• Other Authors: TU Chemnitz, Fakultät für Mathematik
• Format: Doctoral Thesis
• Language: English
• Published: Universitätsbibliothek Chemnitz 2006
• Subjects: Modellreduktion; partielle Realisierung; verallgemeinertes Eigenwertproblem; ddc:510; Deskriptorsystem <Mathematik>; Rationale matrixwertige Funktion; Realisierung
• Online Access: http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600965; http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600965; http://www.qucosa.de/fileadmin/data/qucosa/documents/5209/data/diss.pdf; http://www.qucosa.de/fileadmin/data/qucosa/documents/5209/20060096.txt

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.