Benner, Peter ; Sokolov, Viatcheslav : Partial Realization of Descriptor Systems
- Author(s):
-
Benner, Peter
Sokolov, Viatcheslav
- Title:
- Partial Realization of Descriptor Systems
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 5, 2005
- Mathematics Subject Classification:
-
41A20 [ Approximation by rational functions ] 93B20 [ Minimal systems representations ] 93B11 [ System structure simplification ] 93B40 [ Computational methods ] 30E05 [ Moment problems, interpolation problems ] - Abstract:
- We address the partial realization problem for linear descriptor systems. A general solution to this problem using the Markov parameters of the system defined via its Laurent series is provided. For proper descriptor systems, we also discuss a numerically feasible algorithm for computing a partial minimal realization based on the unsymmetric Lanczos process. Applications to model reduction for two examples from computational fluid dynamics and mechanical systems with holonomic constraints are also given.
- Keywords:
- Partial realization, descriptor system,
model reduction, Markov parameter, Krylov subspace method
- Language:
-
English
- Publication time:
- 4 / 2005
