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Benner, Peter; Sokolov, Viatcheslav : Partial Realization of Descriptor Systems

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