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